TSTP Solution File: MGT001-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT001-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:21:42 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 88
% Syntax : Number of formulae : 162 ( 41 unt; 19 typ; 0 def)
% Number of atoms : 2917 ( 0 equ)
% Maximal formula atoms : 44 ( 20 avg)
% Number of connectives : 5156 (2591 ~;2405 |; 0 &)
% ( 160 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 209 ( 209 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 11 >; 17 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 900 ( 818 !; 0 ?; 900 :)
% Comments :
%------------------------------------------------------------------------------
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(sk1_type,type,
sk1: ( $i * $i ) > $i ).
tff(sk4_type,type,
sk4: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(sk5_type,type,
sk5: $i ).
tff(sk7_type,type,
sk7: $i ).
tff(sk3_type,type,
sk3: ( $i * $i ) > $i ).
tff(reproducibility_type,type,
reproducibility: ( $i * $i * $i ) > $o ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(sk8_type,type,
sk8: $i ).
tff(sk9_type,type,
sk9: $i ).
tff(inertia_type,type,
inertia: ( $i * $i * $i ) > $o ).
tff(reorganization_free_type,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(accountability_type,type,
accountability: ( $i * $i * $i ) > $o ).
tff(sk2_type,type,
sk2: ( $i * $i ) > $i ).
tff(reliability_type,type,
reliability: ( $i * $i * $i ) > $o ).
tff(sk10_type,type,
sk10: $i ).
tff(sk11_type,type,
sk11: $i ).
tff(survival_chance_type,type,
survival_chance: ( $i * $i * $i ) > $o ).
tff(1,plain,
( organization(sk5,sk7)
<=> organization(sk5,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
organization(sk5,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_11) ).
tff(3,plain,
organization(sk5,sk7),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
<=> ( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_3) ).
tff(8,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk5,sk7)
| reproducibility(sk5,sk3(sk7,sk5),sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk5,sk7)
| reproducibility(sk5,sk3(sk7,sk5),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk5,sk7)
| reproducibility(sk5,sk3(sk7,sk5),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk5,sk7)
| reproducibility(sk5,sk3(sk7,sk5),sk7) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
reproducibility(sk5,sk3(sk7,sk5),sk7),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
( organization(sk4,sk6)
<=> organization(sk4,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
organization(sk4,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_10) ).
tff(17,plain,
organization(sk4,sk6),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk4,sk6)
| reproducibility(sk4,sk3(sk6,sk4),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk4,sk6)
| reproducibility(sk4,sk3(sk6,sk4),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk4,sk6)
| reproducibility(sk4,sk3(sk6,sk4),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(20,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk3(B,A),B) )
| ~ organization(sk4,sk6)
| reproducibility(sk4,sk3(sk6,sk4),sk6) ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
reproducibility(sk4,sk3(sk6,sk4),sk6),
inference(unit_resolution,[status(thm)],[20,10,17]) ).
tff(22,plain,
( greater(sk9,sk8)
<=> greater(sk9,sk8) ),
inference(rewrite,[status(thm)],]) ).
tff(23,axiom,
greater(sk9,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_18) ).
tff(24,plain,
greater(sk9,sk8),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
( inertia(sk5,sk9,sk7)
<=> inertia(sk5,sk9,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(26,axiom,
inertia(sk5,sk9,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_15) ).
tff(27,plain,
inertia(sk5,sk9,sk7),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
( inertia(sk4,sk8,sk6)
<=> inertia(sk4,sk8,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(29,axiom,
inertia(sk4,sk8,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_14) ).
tff(30,plain,
inertia(sk4,sk8,sk6),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
( reorganization_free(sk5,sk7,sk7)
<=> reorganization_free(sk5,sk7,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(32,axiom,
reorganization_free(sk5,sk7,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_13) ).
tff(33,plain,
reorganization_free(sk5,sk7,sk7),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( reorganization_free(sk4,sk6,sk6)
<=> reorganization_free(sk4,sk6,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(35,axiom,
reorganization_free(sk4,sk6,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_12) ).
tff(36,plain,
reorganization_free(sk4,sk6,sk6),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
^ [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(38,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[37]) ).
tff(39,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
^ [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B) ) )),
rewrite(
( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B) )
<=> ( ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B) )
<=> ( ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D) )
<=> ( ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(C,D,D) ) )),
rewrite(
( ( ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reorganization_free(C,D,D) )
<=> ( ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D) )
<=> ( ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B) )
<=> ( ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,E,B) ) )),
rewrite(
( ( ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,E,B) )
<=> ( ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B) )
<=> ( ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D) )
<=> ( ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(C,F,D) ) )),
rewrite(
( ( ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(C,F,D) )
<=> ( ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D) )
<=> ( ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B) )
<=> ( ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,G,B) ) )),
rewrite(
( ( ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(A,G,B) )
<=> ( ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B) )
<=> ( ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D) )
<=> ( ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,H,D) ) )),
rewrite(
( ( ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ inertia(C,H,D) )
<=> ( ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D) )
<=> ( ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G) )
<=> ( ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(H,G) ) )),
rewrite(
( ( ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(H,G) )
<=> ( ~ inertia(C,H,D)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G) )
<=> ( ~ inertia(C,H,D)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G)
| greater(F,E) )
<=> ( ~ inertia(C,H,D)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(F,E) ) )),
rewrite(
( ( ~ inertia(C,H,D)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(F,E) )
<=> ( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G)
| greater(F,E) )
<=> ( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(41,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G)
| greater(F,E) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,axiom,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G)
| greater(F,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_9) ).
tff(43,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[43,39]) ).
tff(45,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[44]) ).
tff(46,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[45,38]) ).
tff(47,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reorganization_free(sk5,sk7,sk7) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reorganization_free(sk5,sk7,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
( ( ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk5,sk7,sk7)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) )
<=> ( ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reorganization_free(sk5,sk7,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk5,sk7,sk7)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reorganization_free(sk5,sk7,sk7) ) ),
inference(monotonicity,[status(thm)],[48]) ).
tff(50,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk5,sk7,sk7)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reorganization_free(sk5,sk7,sk7) ) ),
inference(transitivity,[status(thm)],[49,47]) ).
tff(51,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk5,sk7,sk7)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(52,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ inertia(C,H,D)
| greater(F,E)
| ~ greater(H,G)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ inertia(sk4,sk8,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reorganization_free(sk4,sk6,sk6)
| ~ inertia(sk5,sk9,sk7)
| greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ greater(sk9,sk8)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ reorganization_free(sk5,sk7,sk7) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
greater(sk3(sk7,sk5),sk3(sk6,sk4)),
inference(unit_resolution,[status(thm)],[52,46,17,3,36,33,30,27,24,21,14]) ).
tff(54,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
<=> ( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ) )),
inference(bind,[status(th)],]) ).
tff(55,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ) ),
inference(quant_intro,[status(thm)],[54]) ).
tff(56,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_2) ).
tff(58,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
inference(skolemize,[status(sab)],[58]) ).
tff(60,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
inference(modus_ponens,[status(thm)],[59,55]) ).
tff(61,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk5,sk7)
| accountability(sk5,sk2(sk7,sk5),sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk5,sk7)
| accountability(sk5,sk2(sk7,sk5),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(62,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk5,sk7)
| accountability(sk5,sk2(sk7,sk5),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(63,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk5,sk7)
| accountability(sk5,sk2(sk7,sk5),sk7) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
accountability(sk5,sk2(sk7,sk5),sk7),
inference(unit_resolution,[status(thm)],[63,60,3]) ).
tff(65,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
<=> ( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ) )),
inference(bind,[status(th)],]) ).
tff(66,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ) ),
inference(quant_intro,[status(thm)],[65]) ).
tff(67,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_1) ).
tff(69,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
inference(skolemize,[status(sab)],[69]) ).
tff(71,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[70,66]) ).
tff(72,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk5,sk7)
| reliability(sk5,sk1(sk7,sk5),sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk5,sk7)
| reliability(sk5,sk1(sk7,sk5),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(73,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk5,sk7)
| reliability(sk5,sk1(sk7,sk5),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(74,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk5,sk7)
| reliability(sk5,sk1(sk7,sk5),sk7) ),
inference(modus_ponens,[status(thm)],[73,72]) ).
tff(75,plain,
reliability(sk5,sk1(sk7,sk5),sk7),
inference(unit_resolution,[status(thm)],[74,71,3]) ).
tff(76,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk4,sk6)
| accountability(sk4,sk2(sk6,sk4),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk4,sk6)
| accountability(sk4,sk2(sk6,sk4),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(77,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk4,sk6)
| accountability(sk4,sk2(sk6,sk4),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(78,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk4,sk6)
| accountability(sk4,sk2(sk6,sk4),sk6) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
accountability(sk4,sk2(sk6,sk4),sk6),
inference(unit_resolution,[status(thm)],[78,60,17]) ).
tff(80,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk4,sk6)
| reliability(sk4,sk1(sk6,sk4),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk4,sk6)
| reliability(sk4,sk1(sk6,sk4),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(81,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk4,sk6)
| reliability(sk4,sk1(sk6,sk4),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(82,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk4,sk6)
| reliability(sk4,sk1(sk6,sk4),sk6) ),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
reliability(sk4,sk1(sk6,sk4),sk6),
inference(unit_resolution,[status(thm)],[82,71,17]) ).
tff(84,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
inference(bind,[status(th)],]) ).
tff(85,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) ),
inference(quant_intro,[status(thm)],[84]) ).
tff(86,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(87,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(A,E,B) ) )),
rewrite(
( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(A,E,B) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(C,F,D) ) )),
rewrite(
( ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(A,G,B) ) )),
rewrite(
( ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(A,G,B) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(C,H,D) ) )),
rewrite(
( ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
rewrite(
( ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) ) )),
rewrite(
( ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) )
<=> ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) )
<=> ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I) )
<=> ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ greater(J,I) ) )),
rewrite(
( ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ greater(J,I) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(F,E) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| greater(F,E) ) )),
rewrite(
( ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| greater(F,E) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(F,E) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
inference(bind,[status(th)],]) ).
tff(88,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(F,E) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) ),
inference(quant_intro,[status(thm)],[87]) ).
tff(89,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(F,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_5) ).
tff(90,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(modus_ponens,[status(thm)],[90,86]) ).
tff(92,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(skolemize,[status(sab)],[91]) ).
tff(93,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(modus_ponens,[status(thm)],[92,85]) ).
tff(94,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk1(sk7,sk5),sk1(sk6,sk4)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(95,plain,
( ( ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) )
<=> ( ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(96,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(monotonicity,[status(thm)],[95]) ).
tff(97,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(transitivity,[status(thm)],[96,94]) ).
tff(98,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(99,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(F,E)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk1(sk7,sk5),sk1(sk6,sk4)) ),
inference(modus_ponens,[status(thm)],[98,97]) ).
tff(100,plain,
greater(sk1(sk7,sk5),sk1(sk6,sk4)),
inference(unit_resolution,[status(thm)],[99,93,17,3,21,83,79,14,75,64,53]) ).
tff(101,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
inference(bind,[status(th)],]) ).
tff(102,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) ),
inference(quant_intro,[status(thm)],[101]) ).
tff(103,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(104,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(A,E,B) ) )),
rewrite(
( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(A,E,B) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(C,F,D) ) )),
rewrite(
( ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(A,G,B) ) )),
rewrite(
( ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(A,G,B) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(C,H,D) ) )),
rewrite(
( ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
rewrite(
( ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) ) )),
rewrite(
( ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) )
<=> ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D) )
<=> ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I) )
<=> ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ greater(J,I) ) )),
rewrite(
( ( ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| ~ greater(J,I) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(H,G) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| greater(H,G) ) )),
rewrite(
( ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B)
| greater(H,G) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(H,G) )
<=> ( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) )),
inference(bind,[status(th)],]) ).
tff(105,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(H,G) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ) ),
inference(quant_intro,[status(thm)],[104]) ).
tff(106,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ reproducibility(A,I,B)
| ~ reproducibility(C,J,D)
| ~ greater(J,I)
| greater(H,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_6) ).
tff(107,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(modus_ponens,[status(thm)],[107,103]) ).
tff(109,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(skolemize,[status(sab)],[108]) ).
tff(110,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) ),
inference(modus_ponens,[status(thm)],[109,102]) ).
tff(111,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk2(sk7,sk5),sk2(sk6,sk4)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk2(sk7,sk5),sk2(sk6,sk4)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(112,plain,
( ( ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) )
<=> ( ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk2(sk7,sk5),sk2(sk6,sk4)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(113,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk2(sk7,sk5),sk2(sk6,sk4)) ) ),
inference(monotonicity,[status(thm)],[112]) ).
tff(114,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk2(sk7,sk5),sk2(sk6,sk4)) ) ),
inference(transitivity,[status(thm)],[113,111]) ).
tff(115,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(116,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ greater(J,I)
| ~ reproducibility(C,J,D)
| greater(H,G)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reproducibility(A,I,B) )
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ reproducibility(sk4,sk3(sk6,sk4),sk6)
| ~ reproducibility(sk5,sk3(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ greater(sk3(sk7,sk5),sk3(sk6,sk4))
| greater(sk2(sk7,sk5),sk2(sk6,sk4)) ),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
greater(sk2(sk7,sk5),sk2(sk6,sk4)),
inference(unit_resolution,[status(thm)],[116,110,17,3,21,83,79,14,75,64,53]) ).
tff(118,plain,
( ~ greater(sk11,sk10)
<=> ~ greater(sk11,sk10) ),
inference(rewrite,[status(thm)],]) ).
tff(119,axiom,
~ greater(sk11,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_19) ).
tff(120,plain,
~ greater(sk11,sk10),
inference(modus_ponens,[status(thm)],[119,118]) ).
tff(121,plain,
( survival_chance(sk5,sk11,sk7)
<=> survival_chance(sk5,sk11,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(122,axiom,
survival_chance(sk5,sk11,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_17) ).
tff(123,plain,
survival_chance(sk5,sk11,sk7),
inference(modus_ponens,[status(thm)],[122,121]) ).
tff(124,plain,
( survival_chance(sk4,sk10,sk6)
<=> survival_chance(sk4,sk10,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(125,axiom,
survival_chance(sk4,sk10,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_16) ).
tff(126,plain,
survival_chance(sk4,sk10,sk6),
inference(modus_ponens,[status(thm)],[125,124]) ).
tff(127,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(128,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[127]) ).
tff(129,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(130,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(C,D) )
<=> ( ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B) )
<=> ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(A,E,B) ) )),
rewrite(
( ( ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(A,E,B) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(C,F,D) ) )),
rewrite(
( ( ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B) )
<=> ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(A,G,B) ) )),
rewrite(
( ( ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(A,G,B) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(C,H,D) ) )),
rewrite(
( ( ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B) )
<=> ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(A,I,B) ) )),
rewrite(
( ( ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(A,I,B) )
<=> ( ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B) )
<=> ( ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D) )
<=> ( ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(C,J,D) ) )),
rewrite(
( ( ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ survival_chance(C,J,D) )
<=> ( ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D) )
<=> ( ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E) )
<=> ( ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E) ) )),
rewrite(
( ( ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(F,E) )
<=> ( ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E) )
<=> ( ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E)
| ~ greater(H,G) )
<=> ( ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(H,G) ) )),
rewrite(
( ( ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| ~ greater(H,G) )
<=> ( ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E)
| ~ greater(H,G) )
<=> ( ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E)
| ~ greater(H,G)
| greater(J,I) )
<=> ( ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(J,I) ) )),
rewrite(
( ( ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B)
| greater(J,I) )
<=> ( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E)
| ~ greater(H,G)
| greater(J,I) )
<=> ( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(131,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E)
| ~ greater(H,G)
| greater(J,I) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[130]) ).
tff(132,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reliability(A,E,B)
| ~ reliability(C,F,D)
| ~ accountability(A,G,B)
| ~ accountability(C,H,D)
| ~ survival_chance(A,I,B)
| ~ survival_chance(C,J,D)
| ~ greater(F,E)
| ~ greater(H,G)
| greater(J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL_4) ).
tff(133,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[132,131]) ).
tff(134,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[133,129]) ).
tff(135,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[134]) ).
tff(136,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[135,128]) ).
tff(137,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ survival_chance(sk5,sk11,sk7)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ survival_chance(sk5,sk11,sk7)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(138,plain,
( ( greater(sk11,sk10)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ survival_chance(sk5,sk11,sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) )
<=> ( greater(sk11,sk10)
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ survival_chance(sk5,sk11,sk7)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(139,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ survival_chance(sk5,sk11,sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ survival_chance(sk5,sk11,sk7)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(monotonicity,[status(thm)],[138]) ).
tff(140,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ survival_chance(sk5,sk11,sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ survival_chance(sk5,sk11,sk7)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4)) ) ),
inference(transitivity,[status(thm)],[139,137]) ).
tff(141,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4))
| ~ survival_chance(sk5,sk11,sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ organization(sk5,sk7)
| ~ organization(sk4,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(142,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,J: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(J,I)
| ~ greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,J,D)
| ~ survival_chance(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) )
| greater(sk11,sk10)
| ~ organization(sk4,sk6)
| ~ organization(sk5,sk7)
| ~ accountability(sk4,sk2(sk6,sk4),sk6)
| ~ reliability(sk4,sk1(sk6,sk4),sk6)
| ~ accountability(sk5,sk2(sk7,sk5),sk7)
| ~ reliability(sk5,sk1(sk7,sk5),sk7)
| ~ survival_chance(sk4,sk10,sk6)
| ~ survival_chance(sk5,sk11,sk7)
| ~ greater(sk2(sk7,sk5),sk2(sk6,sk4))
| ~ greater(sk1(sk7,sk5),sk1(sk6,sk4)) ),
inference(modus_ponens,[status(thm)],[141,140]) ).
tff(143,plain,
$false,
inference(unit_resolution,[status(thm)],[142,136,17,3,126,123,120,83,79,75,64,117,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT001-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 02:49:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------