TSTP Solution File: MGT004-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT004-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 05:21:44 EDT 2022
% Result : Unsatisfiable 0.16s 0.36s
% Output : Proof 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 68
% Syntax : Number of formulae : 123 ( 33 unt; 15 typ; 0 def)
% Number of atoms : 2405 ( 0 equ)
% Maximal formula atoms : 44 ( 22 avg)
% Number of connectives : 4093 (1966 ~;2000 |; 0 &)
% ( 127 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 170 ( 170 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 8 >; 12 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 656 ( 596 !; 0 ?; 656 :)
% Comments :
%------------------------------------------------------------------------------
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(sk1_type,type,
sk1: ( $i * $i ) > $i ).
tff(sk3_type,type,
sk3: $i ).
tff(sk7_type,type,
sk7: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(accountability_type,type,
accountability: ( $i * $i * $i ) > $o ).
tff(sk2_type,type,
sk2: ( $i * $i ) > $i ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(reliability_type,type,
reliability: ( $i * $i * $i ) > $o ).
tff(sk9_type,type,
sk9: $i ).
tff(sk8_type,type,
sk8: $i ).
tff(reorganization_type,type,
reorganization: ( $i * $i * $i ) > $o ).
tff(sk5_type,type,
sk5: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(survival_chance_type,type,
survival_chance: ( $i * $i * $i ) > $o ).
tff(1,plain,
( organization(sk3,sk7)
<=> organization(sk3,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
organization(sk3,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_7) ).
tff(3,plain,
organization(sk3,sk7),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,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(5,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)],[4]) ).
tff(6,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(7,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_2) ).
tff(8,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| accountability(sk3,sk2(sk7,sk3),sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| accountability(sk3,sk2(sk7,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| accountability(sk3,sk2(sk7,sk3),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk7)
| accountability(sk3,sk2(sk7,sk3),sk7) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
accountability(sk3,sk2(sk7,sk3),sk7),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,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(16,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)],[15]) ).
tff(17,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(18,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_1) ).
tff(19,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
inference(skolemize,[status(sab)],[19]) ).
tff(21,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[20,16]) ).
tff(22,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| reliability(sk3,sk1(sk7,sk3),sk7) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| reliability(sk3,sk1(sk7,sk3),sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(23,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| reliability(sk3,sk1(sk7,sk3),sk7) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk7)
| reliability(sk3,sk1(sk7,sk3),sk7) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
reliability(sk3,sk1(sk7,sk3),sk7),
inference(unit_resolution,[status(thm)],[24,21,3]) ).
tff(26,plain,
( organization(sk3,sk6)
<=> organization(sk3,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(27,axiom,
organization(sk3,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_6) ).
tff(28,plain,
organization(sk3,sk6),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| accountability(sk3,sk2(sk6,sk3),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| accountability(sk3,sk2(sk6,sk3),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(30,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| accountability(sk3,sk2(sk6,sk3),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(31,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| accountability(A,sk2(B,A),B) )
| ~ organization(sk3,sk6)
| accountability(sk3,sk2(sk6,sk3),sk6) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
accountability(sk3,sk2(sk6,sk3),sk6),
inference(unit_resolution,[status(thm)],[31,10,28]) ).
tff(33,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| reliability(sk3,sk1(sk6,sk3),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| reliability(sk3,sk1(sk6,sk3),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(34,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| reliability(sk3,sk1(sk6,sk3),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(35,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reliability(A,sk1(B,A),B) )
| ~ organization(sk3,sk6)
| reliability(sk3,sk1(sk6,sk3),sk6) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
reliability(sk3,sk1(sk6,sk3),sk6),
inference(unit_resolution,[status(thm)],[35,21,28]) ).
tff(37,plain,
( ~ greater(sk7,sk9)
<=> ~ greater(sk7,sk9) ),
inference(rewrite,[status(thm)],]) ).
tff(38,axiom,
~ greater(sk7,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_13) ).
tff(39,plain,
~ greater(sk7,sk9),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
( greater(sk7,sk6)
<=> greater(sk7,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(41,axiom,
greater(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_12) ).
tff(42,plain,
greater(sk7,sk6),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
( ~ greater(sk8,sk6)
<=> ~ greater(sk8,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(44,axiom,
~ greater(sk8,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_11) ).
tff(45,plain,
~ greater(sk8,sk6),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
( reorganization(sk3,sk8,sk9)
<=> reorganization(sk3,sk8,sk9) ),
inference(rewrite,[status(thm)],]) ).
tff(47,axiom,
reorganization(sk3,sk8,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_8) ).
tff(48,plain,
reorganization(sk3,sk8,sk9),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(50,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
^ [I: $i,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(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(A,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization(A,D,E) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization(A,D,E) )
<=> ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E) )
<=> ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B) )
<=> ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,F,B) ) )),
rewrite(
( ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,F,B) )
<=> ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B) )
<=> ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C) )
<=> ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,G,C) ) )),
rewrite(
( ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,G,C) )
<=> ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C) )
<=> ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B) )
<=> ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,H,B) ) )),
rewrite(
( ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,H,B) )
<=> ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B) )
<=> ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C) )
<=> ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,I,C) ) )),
rewrite(
( ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,I,C) )
<=> ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C) )
<=> ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B) )
<=> ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(D,B) ) )),
rewrite(
( ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(D,B) )
<=> ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B) )
<=> ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B) )
<=> ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B) ) )),
rewrite(
( ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B) )
<=> ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B) )
<=> ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E) )
<=> ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(C,E) ) )),
rewrite(
( ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(C,E) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(F,G) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(F,G) ) )),
rewrite(
( ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(F,G) )
<=> ( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(F,G) )
<=> ( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(53,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(F,G) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(F,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL_4) ).
tff(55,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[55,51]) ).
tff(57,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[56]) ).
tff(58,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[57,50]) ).
tff(59,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(60,plain,
( ( greater(sk7,sk9)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) )
<=> ( greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(61,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk7,sk9)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) ) ),
inference(monotonicity,[status(thm)],[60]) ).
tff(62,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk7,sk9)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) ) ),
inference(transitivity,[status(thm)],[61,59]) ).
tff(63,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk7,sk9)
| greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(64,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| greater(F,G)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) ),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(unit_resolution,[status(thm)],[64,58,28,3,48,45,42,39,36,32,25,14]) ).
tff(66,plain,
^ [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ) )),
inference(bind,[status(th)],]) ).
tff(67,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
^ [I: $i,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(
trans(
monotonicity(
rewrite(
( ( ~ organization(A,B)
| ~ organization(A,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization(A,D,E) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization(A,D,E) )
<=> ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E) )
<=> ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B) )
<=> ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,F,B) ) )),
rewrite(
( ( ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,F,B) )
<=> ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B) )
<=> ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C) )
<=> ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,G,C) ) )),
rewrite(
( ( ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reliability(A,G,C) )
<=> ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C) )
<=> ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B) )
<=> ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,H,B) ) )),
rewrite(
( ( ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,H,B) )
<=> ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B) )
<=> ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C) )
<=> ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,I,C) ) )),
rewrite(
( ( ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ accountability(A,I,C) )
<=> ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C) )
<=> ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B) )
<=> ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(D,B) ) )),
rewrite(
( ( ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(D,B) )
<=> ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B) )
<=> ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B) )
<=> ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B) ) )),
rewrite(
( ( greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ greater(C,B) )
<=> ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B) )
<=> ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E) )
<=> ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(C,E) ) )),
rewrite(
( ( ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(C,E) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(H,I) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ) )),
rewrite(
( ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(H,I) )
<=> ( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ) )),
inference(bind,[status(th)],]) ).
tff(70,plain,
( ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(H,I) )
<=> ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ) ),
inference(quant_intro,[status(thm)],[69]) ).
tff(71,axiom,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ reliability(A,F,B)
| ~ reliability(A,G,C)
| ~ accountability(A,H,B)
| ~ accountability(A,I,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(H,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL_5) ).
tff(72,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ),
inference(modus_ponens,[status(thm)],[72,68]) ).
tff(74,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ),
inference(skolemize,[status(sab)],[73]) ).
tff(75,plain,
! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) ),
inference(modus_ponens,[status(thm)],[74,67]) ).
tff(76,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(77,plain,
( ( greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) )
<=> ( greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(78,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) ) ),
inference(monotonicity,[status(thm)],[77]) ).
tff(79,plain,
( ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) )
<=> ( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) ) ),
inference(transitivity,[status(thm)],[78,76]) ).
tff(80,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) ),
inference(quant_inst,[status(thm)],]) ).
tff(81,plain,
( ~ ! [I: $i,B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,I,C)
| ~ accountability(A,H,B)
| ~ reliability(A,G,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B)
| greater(H,I) )
| greater(sk8,sk6)
| greater(sk7,sk9)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reorganization(sk3,sk8,sk9)
| ~ greater(sk7,sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| greater(sk2(sk6,sk3),sk2(sk7,sk3)) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
greater(sk2(sk6,sk3),sk2(sk7,sk3)),
inference(unit_resolution,[status(thm)],[81,75,28,3,48,45,42,39,36,32,25,14]) ).
tff(83,plain,
( ~ greater(sk4,sk5)
<=> ~ greater(sk4,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(84,axiom,
~ greater(sk4,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_14) ).
tff(85,plain,
~ greater(sk4,sk5),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
( survival_chance(sk3,sk5,sk7)
<=> survival_chance(sk3,sk5,sk7) ),
inference(rewrite,[status(thm)],]) ).
tff(87,axiom,
survival_chance(sk3,sk5,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_10) ).
tff(88,plain,
survival_chance(sk3,sk5,sk7),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
( survival_chance(sk3,sk4,sk6)
<=> survival_chance(sk3,sk4,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(90,axiom,
survival_chance(sk3,sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_9) ).
tff(91,plain,
survival_chance(sk3,sk4,sk6),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,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(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)
| ~ 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)],[92]) ).
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)
| ~ 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(95,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(96,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)],[95]) ).
tff(97,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/sandbox/benchmark/theBenchmark.p',a1_FOL_3) ).
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)
| ~ 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)],[97,96]) ).
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)
| ~ 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)],[98,94]) ).
tff(100,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)],[99]) ).
tff(101,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)],[100,93]) ).
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)
| ~ 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(sk4,sk5)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ survival_chance(sk3,sk4,sk6)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk5,sk7) )
<=> ( ~ ! [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(sk4,sk5)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ survival_chance(sk3,sk4,sk6)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk5,sk7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(103,plain,
( ( greater(sk4,sk5)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk4,sk6)
| ~ survival_chance(sk3,sk5,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) )
<=> ( greater(sk4,sk5)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ survival_chance(sk3,sk4,sk6)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk5,sk7) ) ),
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] :
( 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(sk4,sk5)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk4,sk6)
| ~ survival_chance(sk3,sk5,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) )
<=> ( ~ ! [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(sk4,sk5)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ survival_chance(sk3,sk4,sk6)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk5,sk7) ) ),
inference(monotonicity,[status(thm)],[103]) ).
tff(105,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(sk4,sk5)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk4,sk6)
| ~ survival_chance(sk3,sk5,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) )
<=> ( ~ ! [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(sk4,sk5)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ survival_chance(sk3,sk4,sk6)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk5,sk7) ) ),
inference(transitivity,[status(thm)],[104,102]) ).
tff(106,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(sk4,sk5)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk4,sk6)
| ~ survival_chance(sk3,sk5,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) ),
inference(quant_inst,[status(thm)],]) ).
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)
| ~ 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(sk4,sk5)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,sk2(sk6,sk3),sk6)
| ~ reliability(sk3,sk1(sk6,sk3),sk6)
| ~ accountability(sk3,sk2(sk7,sk3),sk7)
| ~ reliability(sk3,sk1(sk7,sk3),sk7)
| ~ survival_chance(sk3,sk4,sk6)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,sk5,sk7) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
$false,
inference(unit_resolution,[status(thm)],[107,101,28,3,91,88,85,36,32,25,14,82,65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : MGT004-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Sep 2 02:38:35 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.16/0.31 Usage: tptp [options] [-file:]file
% 0.16/0.31 -h, -? prints this message.
% 0.16/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.16/0.31 -m, -model generate model.
% 0.16/0.31 -p, -proof generate proof.
% 0.16/0.31 -c, -core generate unsat core of named formulas.
% 0.16/0.31 -st, -statistics display statistics.
% 0.16/0.31 -t:timeout set timeout (in second).
% 0.16/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.16/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.16/0.31 -<param>:<value> configuration parameter and value.
% 0.16/0.31 -o:<output-file> file to place output in.
% 0.16/0.36 % SZS status Unsatisfiable
% 0.16/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------