TSTP Solution File: MGT002-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 05:21:43 EDT 2022
% Result : Unsatisfiable 0.15s 0.35s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 56
% Syntax : Number of formulae : 103 ( 27 unt; 11 typ; 0 def)
% Number of atoms : 1201 ( 0 equ)
% Maximal formula atoms : 40 ( 13 avg)
% Number of connectives : 2045 (1021 ~; 947 |; 0 &)
% ( 77 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 85 ( 85 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 6 >; 9 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 385 ( 351 !; 0 ?; 385 :)
% Comments :
%------------------------------------------------------------------------------
tff(greater_type,type,
greater: ( $i * $i ) > $o ).
tff(sk1_type,type,
sk1: ( $i * $i ) > $i ).
tff(sk2_type,type,
sk2: $i ).
tff(sk5_type,type,
sk5: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(reproducibility_type,type,
reproducibility: ( $i * $i * $i ) > $o ).
tff(organization_type,type,
organization: ( $i * $i ) > $o ).
tff(reorganization_free_type,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(sk3_type,type,
sk3: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(inertia_type,type,
inertia: ( $i * $i * $i ) > $o ).
tff(1,plain,
( organization(sk2,sk6)
<=> organization(sk2,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
organization(sk2,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_8) ).
tff(3,plain,
organization(sk2,sk6),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [B: $i,A: $i] :
refl(
( ( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
<=> ( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
<=> ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_1) ).
tff(8,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk6)
| reproducibility(sk2,sk1(sk6,sk2),sk6) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk6)
| reproducibility(sk2,sk1(sk6,sk2),sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk6)
| reproducibility(sk2,sk1(sk6,sk2),sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk6)
| reproducibility(sk2,sk1(sk6,sk2),sk6) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
reproducibility(sk2,sk1(sk6,sk2),sk6),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
( organization(sk2,sk5)
<=> organization(sk2,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
organization(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_7) ).
tff(17,plain,
organization(sk2,sk5),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk5)
| reproducibility(sk2,sk1(sk5,sk2),sk5) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk5)
| reproducibility(sk2,sk1(sk5,sk2),sk5) ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk5)
| reproducibility(sk2,sk1(sk5,sk2),sk5) ),
inference(quant_inst,[status(thm)],]) ).
tff(20,plain,
( ~ ! [B: $i,A: $i] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) )
| ~ organization(sk2,sk5)
| reproducibility(sk2,sk1(sk5,sk2),sk5) ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
reproducibility(sk2,sk1(sk5,sk2),sk5),
inference(unit_resolution,[status(thm)],[20,10,17]) ).
tff(22,plain,
( greater(sk6,sk5)
<=> greater(sk6,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(23,axiom,
greater(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_12) ).
tff(24,plain,
greater(sk6,sk5),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
( reorganization_free(sk2,sk5,sk6)
<=> reorganization_free(sk2,sk5,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(26,axiom,
reorganization_free(sk2,sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_9) ).
tff(27,plain,
reorganization_free(sk2,sk5,sk6),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
refl(
( ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(29,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,plain,
^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
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_free(A,B,C) )
<=> ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) ) )),
rewrite(
( ( ~ organization(A,C)
| ~ organization(A,B)
| ~ reorganization_free(A,B,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reproducibility(A,D,B) ) )),
rewrite(
( ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B)
| ~ reproducibility(A,D,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C) )
<=> ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B)
| ~ reproducibility(A,E,C) ) )),
rewrite(
( ( ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B)
| ~ reproducibility(A,E,C) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B)
| ~ greater(C,B) ) )),
rewrite(
( ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ reproducibility(A,D,B)
| ~ organization(A,B)
| ~ greater(C,B) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B)
| greater(E,D) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B)
| greater(E,D) ) )),
rewrite(
( ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B)
| greater(E,D) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
( ( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B)
| greater(E,D) )
<=> ( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) )),
inference(bind,[status(th)],]) ).
tff(32,plain,
( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B)
| greater(E,D) )
<=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,axiom,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_FOL_6) ).
tff(34,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[34,30]) ).
tff(36,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) ),
inference(modus_ponens,[status(thm)],[36,29]) ).
tff(38,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
( ( ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ organization(sk2,sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ organization(sk2,sk5) )
<=> ( ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ organization(sk2,sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ organization(sk2,sk5) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5) ) ),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ organization(sk2,sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ organization(sk2,sk5) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5) ) ),
inference(transitivity,[status(thm)],[40,38]) ).
tff(42,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ organization(sk2,sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ organization(sk2,sk5) ),
inference(quant_inst,[status(thm)],]) ).
tff(43,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
( ~ reproducibility(A,E,C)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,D,B)
| ~ organization(A,B) )
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ greater(sk6,sk5)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
greater(sk1(sk6,sk2),sk1(sk5,sk2)),
inference(unit_resolution,[status(thm)],[43,37,17,3,27,24,21,14]) ).
tff(45,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) )
<=> ( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ) )),
inference(bind,[status(th)],]) ).
tff(46,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ) ),
inference(quant_intro,[status(thm)],[45]) ).
tff(47,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,axiom,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_3) ).
tff(49,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ),
inference(skolemize,[status(sab)],[49]) ).
tff(51,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ),
inference(modus_ponens,[status(thm)],[50,46]) ).
tff(52,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk6,sk6) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk6,sk6) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk6,sk6) ),
inference(quant_inst,[status(thm)],]) ).
tff(54,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk6,sk6) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
reorganization_free(sk2,sk6,sk6),
inference(unit_resolution,[status(thm)],[54,51,27]) ).
tff(56,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) )
<=> ( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,axiom,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_2) ).
tff(60,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ),
inference(skolemize,[status(sab)],[60]) ).
tff(62,plain,
! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk5,sk5) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk5,sk5) ) ),
inference(rewrite,[status(thm)],]) ).
tff(64,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk5,sk5) ),
inference(quant_inst,[status(thm)],]) ).
tff(65,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) )
| ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk5,sk5) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
reorganization_free(sk2,sk5,sk5),
inference(unit_resolution,[status(thm)],[65,62,27]) ).
tff(67,plain,
( ~ greater(sk4,sk3)
<=> ~ greater(sk4,sk3) ),
inference(rewrite,[status(thm)],]) ).
tff(68,axiom,
~ greater(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_13) ).
tff(69,plain,
~ greater(sk4,sk3),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
( inertia(sk2,sk4,sk6)
<=> inertia(sk2,sk4,sk6) ),
inference(rewrite,[status(thm)],]) ).
tff(71,axiom,
inertia(sk2,sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_11) ).
tff(72,plain,
inertia(sk2,sk4,sk6),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
( inertia(sk2,sk3,sk5)
<=> inertia(sk2,sk3,sk5) ),
inference(rewrite,[status(thm)],]) ).
tff(74,axiom,
inertia(sk2,sk3,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_10) ).
tff(75,plain,
inertia(sk2,sk3,sk5),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
^ [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
refl(
( ( greater(H,G)
| ~ greater(F,E)
| ~ 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)
| ~ greater(F,E)
| ~ 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) ) )),
inference(bind,[status(th)],]) ).
tff(77,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) ) ),
inference(quant_intro,[status(thm)],[76]) ).
tff(78,plain,
( ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) ) ),
inference(rewrite,[status(thm)],]) ).
tff(79,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(F,E) )
<=> ( ~ 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(F,E) ) )),
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(F,E) )
<=> ( ~ greater(F,E)
| ~ 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(F,E) )
<=> ( ~ greater(F,E)
| ~ 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(F,E)
| greater(H,G) )
<=> ( ~ greater(F,E)
| ~ 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(
( ( ~ greater(F,E)
| ~ 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) )
<=> ( greater(H,G)
| ~ greater(F,E)
| ~ 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(F,E)
| greater(H,G) )
<=> ( greater(H,G)
| ~ greater(F,E)
| ~ 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) ) )),
inference(bind,[status(th)],]) ).
tff(80,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(F,E)
| greater(H,G) )
<=> ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) ) ),
inference(quant_intro,[status(thm)],[79]) ).
tff(81,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(F,E)
| greater(H,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL_4) ).
tff(82,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) ),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) ),
inference(modus_ponens,[status(thm)],[82,78]) ).
tff(84,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) ),
inference(skolemize,[status(sab)],[83]) ).
tff(85,plain,
! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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) ),
inference(modus_ponens,[status(thm)],[84,77]) ).
tff(86,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ inertia(sk2,sk3,sk5)
| ~ inertia(sk2,sk4,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2)) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ inertia(sk2,sk3,sk5)
| ~ inertia(sk2,sk4,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(87,plain,
( ( greater(sk4,sk3)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ inertia(sk2,sk4,sk6)
| ~ inertia(sk2,sk3,sk5)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ organization(sk2,sk6)
| ~ organization(sk2,sk5) )
<=> ( greater(sk4,sk3)
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ inertia(sk2,sk3,sk5)
| ~ inertia(sk2,sk4,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(88,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ inertia(sk2,sk4,sk6)
| ~ inertia(sk2,sk3,sk5)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ organization(sk2,sk6)
| ~ organization(sk2,sk5) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ inertia(sk2,sk3,sk5)
| ~ inertia(sk2,sk4,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2)) ) ),
inference(monotonicity,[status(thm)],[87]) ).
tff(89,plain,
( ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ inertia(sk2,sk4,sk6)
| ~ inertia(sk2,sk3,sk5)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ organization(sk2,sk6)
| ~ organization(sk2,sk5) )
<=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ inertia(sk2,sk3,sk5)
| ~ inertia(sk2,sk4,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2)) ) ),
inference(transitivity,[status(thm)],[88,86]) ).
tff(90,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ inertia(sk2,sk4,sk6)
| ~ inertia(sk2,sk3,sk5)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ organization(sk2,sk6)
| ~ organization(sk2,sk5) ),
inference(quant_inst,[status(thm)],]) ).
tff(91,plain,
( ~ ! [B: $i,D: $i,A: $i,E: $i,H: $i,F: $i,G: $i,C: $i] :
( greater(H,G)
| ~ greater(F,E)
| ~ 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(sk4,sk3)
| ~ organization(sk2,sk5)
| ~ organization(sk2,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ inertia(sk2,sk3,sk5)
| ~ inertia(sk2,sk4,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ greater(sk1(sk6,sk2),sk1(sk5,sk2)) ),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
$false,
inference(unit_resolution,[status(thm)],[91,85,17,3,75,72,69,21,14,66,55,44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Sep 2 02:56:07 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.31 Usage: tptp [options] [-file:]file
% 0.10/0.31 -h, -? prints this message.
% 0.10/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.10/0.31 -m, -model generate model.
% 0.10/0.31 -p, -proof generate proof.
% 0.10/0.31 -c, -core generate unsat core of named formulas.
% 0.10/0.31 -st, -statistics display statistics.
% 0.10/0.31 -t:timeout set timeout (in second).
% 0.10/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.10/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.31 -<param>:<value> configuration parameter and value.
% 0.10/0.31 -o:<output-file> file to place output in.
% 0.15/0.35 % SZS status Unsatisfiable
% 0.15/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------