%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT003-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:11:13 PM UTC 2026
% Result : Unsatisfiable 3.98s 1.60s
% Output : Proof 3.98s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t12,axiom,
sFlat0 = greater(sk4,sk3),
introduced(definition) ).
cnf(t46,plain,
greater(sk4,sk3) = sFlat0,
inference(orient,[status(thm)],[t12]) ).
cnf(f3,hypothesis,
( greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL_4) ).
fof(f3_nnf,plain,
! [A,B,C,D,E,F,G,H] :
( greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B,C,D,E,F,G,H] :
( greater(H,G)
| ~ greater(F,E)
| ~ survival_chance(C,H,D)
| ~ survival_chance(A,G,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ survival_chance(X2,X7,X3)
| ~ survival_chance(X0,X6,X1)
| ~ inertia(X2,X5,X3)
| ~ inertia(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t11,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(X3,X4,X4),true,ifeq(inertia(X1,X5,X2),true,ifeq(inertia(X3,X6,X4),true,ifeq(survival_chance(X1,X7,X2),true,ifeq(survival_chance(X3,X8,X4),true,ifeq(greater(X6,X5),true,greater(X8,X7),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t16,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(X3,X4,X4),true,ifeq(inertia(X1,X5,X2),true,ifeq(inertia(X3,X6,X4),true,ifeq(survival_chance(X1,X7,X2),true,ifeq(survival_chance(X3,X8,X4),true,ifeq(greater(X6,X5),true,greater(X8,X7),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(f5,negated_conjecture,
organization(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_6) ).
fof(f5_nnf,plain,
organization(sk2,sk5),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
organization(sk2,sk5),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(t1,plain,
organization(sk2,sk5) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t23,plain,
organization(sk2,sk5) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t27,plain,
true = ifeq(true,true,ifeq(organization(X1,X2),true,ifeq(reorganization_free(sk2,sk5,sk5),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(inertia(sk2,X3,sk5),true,ifeq(inertia(X1,X4,X2),true,ifeq(survival_chance(sk2,X5,sk5),true,ifeq(survival_chance(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t16,t23]) ).
cnf(t6,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t13,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t6]) ).
cnf(t510,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(sk2,sk5,sk5),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(inertia(sk2,X3,sk5),true,ifeq(inertia(X1,X4,X2),true,ifeq(survival_chance(sk2,X5,sk5),true,ifeq(survival_chance(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t27,t13]) ).
cnf(f0,axiom,
( reorganization_free(A,B,B)
| ~ reorganization_free(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_1) ).
fof(f0_nnf,plain,
! [A,B,C] :
( reorganization_free(A,B,B)
| ~ reorganization_free(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B,C] :
( reorganization_free(A,B,B)
| ~ reorganization_free(A,B,C) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( reorganization_free(X0,X1,X1)
| ~ reorganization_free(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t7,plain,
ifeq(reorganization_free(X1,X2,X3),true,reorganization_free(X1,X2,X2),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t15,plain,
ifeq(reorganization_free(X1,X2,X3),true,reorganization_free(X1,X2,X2),true) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(f7,negated_conjecture,
reorganization_free(sk2,sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_8) ).
fof(f7_nnf,plain,
reorganization_free(sk2,sk5,sk6),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
reorganization_free(sk2,sk5,sk6),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(t3,plain,
reorganization_free(sk2,sk5,sk6) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t19,plain,
reorganization_free(sk2,sk5,sk6) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t21,plain,
true = ifeq(true,true,reorganization_free(sk2,sk5,sk5),true),
inference(cp,[status(thm)],[t15,t19]) ).
cnf(t394,plain,
true = reorganization_free(sk2,sk5,sk5),
inference(step,[status(thm)],[t21,t13]) ).
cnf(t57,plain,
reorganization_free(sk2,sk5,sk5) = true,
inference(orient,[status(thm)],[t394]) ).
cnf(t511,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(inertia(sk2,X3,sk5),true,ifeq(inertia(X1,X4,X2),true,ifeq(survival_chance(sk2,X5,sk5),true,ifeq(survival_chance(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t510,t57]) ).
cnf(t512,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(inertia(sk2,X3,sk5),true,ifeq(inertia(X1,X4,X2),true,ifeq(survival_chance(sk2,X5,sk5),true,ifeq(survival_chance(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t511,t13]) ).
cnf(t250,plain,
ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(inertia(sk2,X3,sk5),true,ifeq(inertia(X1,X4,X2),true,ifeq(survival_chance(sk2,X5,sk5),true,ifeq(survival_chance(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t512]) ).
cnf(f9,negated_conjecture,
survival_chance(sk2,sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_10) ).
fof(f9_nnf,plain,
survival_chance(sk2,sk4,sk6),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
survival_chance(sk2,sk4,sk6),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(t5,plain,
survival_chance(sk2,sk4,sk6) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t40,plain,
survival_chance(sk2,sk4,sk6) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t259,plain,
true = ifeq(organization(sk2,sk6),true,ifeq(reorganization_free(sk2,sk6,sk6),true,ifeq(inertia(sk2,X1,sk5),true,ifeq(inertia(sk2,X2,sk6),true,ifeq(survival_chance(sk2,X3,sk5),true,ifeq(true,true,ifeq(greater(X2,X1),true,greater(sk4,X3),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t250,t40]) ).
cnf(f6,negated_conjecture,
organization(sk2,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_7) ).
fof(f6_nnf,plain,
organization(sk2,sk6),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
organization(sk2,sk6),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(t2,plain,
organization(sk2,sk6) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t29,plain,
organization(sk2,sk6) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t513,plain,
true = ifeq(true,true,ifeq(reorganization_free(sk2,sk6,sk6),true,ifeq(inertia(sk2,X1,sk5),true,ifeq(inertia(sk2,X2,sk6),true,ifeq(survival_chance(sk2,X3,sk5),true,ifeq(true,true,ifeq(greater(X2,X1),true,greater(sk4,X3),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t259,t29]) ).
cnf(t514,plain,
true = ifeq(reorganization_free(sk2,sk6,sk6),true,ifeq(inertia(sk2,X1,sk5),true,ifeq(inertia(sk2,X2,sk6),true,ifeq(survival_chance(sk2,X3,sk5),true,ifeq(true,true,ifeq(greater(X2,X1),true,greater(sk4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t513,t13]) ).
cnf(f1,axiom,
( reorganization_free(A,C,C)
| ~ reorganization_free(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_2) ).
fof(f1_nnf,plain,
! [A,B,C] :
( reorganization_free(A,C,C)
| ~ reorganization_free(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C] :
( reorganization_free(A,C,C)
| ~ reorganization_free(A,B,C) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( reorganization_free(X0,X2,X2)
| ~ reorganization_free(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t8,plain,
ifeq(reorganization_free(X1,X2,X3),true,reorganization_free(X1,X3,X3),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t14,plain,
ifeq(reorganization_free(X1,X2,X3),true,reorganization_free(X1,X3,X3),true) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t20,plain,
true = ifeq(true,true,reorganization_free(sk2,sk6,sk6),true),
inference(cp,[status(thm)],[t14,t19]) ).
cnf(t393,plain,
true = reorganization_free(sk2,sk6,sk6),
inference(step,[status(thm)],[t20,t13]) ).
cnf(t51,plain,
reorganization_free(sk2,sk6,sk6) = true,
inference(orient,[status(thm)],[t393]) ).
cnf(t515,plain,
true = ifeq(true,true,ifeq(inertia(sk2,X1,sk5),true,ifeq(inertia(sk2,X2,sk6),true,ifeq(survival_chance(sk2,X3,sk5),true,ifeq(true,true,ifeq(greater(X2,X1),true,greater(sk4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t514,t51]) ).
cnf(t516,plain,
true = ifeq(inertia(sk2,X1,sk5),true,ifeq(inertia(sk2,X2,sk6),true,ifeq(survival_chance(sk2,X3,sk5),true,ifeq(true,true,ifeq(greater(X2,X1),true,greater(sk4,X3),true),true),true),true),true),
inference(step,[status(thm)],[t515,t13]) ).
cnf(t517,plain,
true = ifeq(inertia(sk2,X1,sk5),true,ifeq(inertia(sk2,X2,sk6),true,ifeq(survival_chance(sk2,X3,sk5),true,ifeq(greater(X2,X1),true,greater(sk4,X3),true),true),true),true),
inference(step,[status(thm)],[t516,t13]) ).
cnf(t267,plain,
ifeq(inertia(sk2,X1,sk5),true,ifeq(inertia(sk2,X2,sk6),true,ifeq(survival_chance(sk2,X3,sk5),true,ifeq(greater(X2,X1),true,greater(sk4,X3),true),true),true),true) = true,
inference(orient,[status(thm)],[t517]) ).
cnf(f4,hypothesis,
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(A,E,C)
| ~ inertia(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_5) ).
fof(f4_nnf,plain,
! [A,B,C,D,E] :
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(A,E,C)
| ~ inertia(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B,C,D,E] :
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(A,E,C)
| ~ inertia(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t10,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X1,X3),true,ifeq(reorganization_free(X1,X2,X3),true,ifeq(inertia(X1,X4,X2),true,ifeq(inertia(X1,X5,X3),true,ifeq(greater(X3,X2),true,greater(X5,X4),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t17,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X1,X3),true,ifeq(reorganization_free(X1,X2,X3),true,ifeq(inertia(X1,X4,X2),true,ifeq(inertia(X1,X5,X3),true,ifeq(greater(X3,X2),true,greater(X5,X4),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(f2,axiom,
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_3) ).
fof(f2_nnf,plain,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t9,plain,
ifeq(organization(X1,X2),true,inertia(X1,sk1(X2,X1),X2),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t18,plain,
ifeq(organization(X1,X2),true,inertia(X1,sk1(X2,X1),X2),true) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t24,plain,
true = ifeq(true,true,inertia(sk2,sk1(sk5,sk2),sk5),true),
inference(cp,[status(thm)],[t18,t23]) ).
cnf(t395,plain,
true = inertia(sk2,sk1(sk5,sk2),sk5),
inference(step,[status(thm)],[t24,t13]) ).
cnf(t63,plain,
inertia(sk2,sk1(sk5,sk2),sk5) = true,
inference(orient,[status(thm)],[t395]) ).
cnf(t64,plain,
true = ifeq(organization(sk2,sk5),true,ifeq(organization(sk2,X1),true,ifeq(reorganization_free(sk2,sk5,X1),true,ifeq(true,true,ifeq(inertia(sk2,X2,X1),true,ifeq(greater(X1,sk5),true,greater(X2,sk1(sk5,sk2)),true),true),true),true),true),true),
inference(cp,[status(thm)],[t17,t63]) ).
cnf(t413,plain,
true = ifeq(true,true,ifeq(organization(sk2,X1),true,ifeq(reorganization_free(sk2,sk5,X1),true,ifeq(true,true,ifeq(inertia(sk2,X2,X1),true,ifeq(greater(X1,sk5),true,greater(X2,sk1(sk5,sk2)),true),true),true),true),true),true),
inference(step,[status(thm)],[t64,t23]) ).
cnf(t414,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization_free(sk2,sk5,X1),true,ifeq(true,true,ifeq(inertia(sk2,X2,X1),true,ifeq(greater(X1,sk5),true,greater(X2,sk1(sk5,sk2)),true),true),true),true),true),
inference(step,[status(thm)],[t413,t13]) ).
cnf(t415,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization_free(sk2,sk5,X1),true,ifeq(inertia(sk2,X2,X1),true,ifeq(greater(X1,sk5),true,greater(X2,sk1(sk5,sk2)),true),true),true),true),
inference(step,[status(thm)],[t414,t13]) ).
cnf(t103,plain,
ifeq(organization(sk2,X1),true,ifeq(reorganization_free(sk2,sk5,X1),true,ifeq(inertia(sk2,X2,X1),true,ifeq(greater(X1,sk5),true,greater(X2,sk1(sk5,sk2)),true),true),true),true) = true,
inference(orient,[status(thm)],[t415]) ).
cnf(t30,plain,
true = ifeq(true,true,inertia(sk2,sk1(sk6,sk2),sk6),true),
inference(cp,[status(thm)],[t18,t29]) ).
cnf(t396,plain,
true = inertia(sk2,sk1(sk6,sk2),sk6),
inference(step,[status(thm)],[t30,t13]) ).
cnf(t68,plain,
inertia(sk2,sk1(sk6,sk2),sk6) = true,
inference(orient,[status(thm)],[t396]) ).
cnf(t106,plain,
true = ifeq(organization(sk2,sk6),true,ifeq(reorganization_free(sk2,sk5,sk6),true,ifeq(true,true,ifeq(greater(sk6,sk5),true,greater(sk1(sk6,sk2),sk1(sk5,sk2)),true),true),true),true),
inference(cp,[status(thm)],[t103,t68]) ).
cnf(t416,plain,
true = ifeq(true,true,ifeq(reorganization_free(sk2,sk5,sk6),true,ifeq(true,true,ifeq(greater(sk6,sk5),true,greater(sk1(sk6,sk2),sk1(sk5,sk2)),true),true),true),true),
inference(step,[status(thm)],[t106,t29]) ).
cnf(t417,plain,
true = ifeq(reorganization_free(sk2,sk5,sk6),true,ifeq(true,true,ifeq(greater(sk6,sk5),true,greater(sk1(sk6,sk2),sk1(sk5,sk2)),true),true),true),
inference(step,[status(thm)],[t416,t13]) ).
cnf(t418,plain,
true = ifeq(true,true,ifeq(true,true,ifeq(greater(sk6,sk5),true,greater(sk1(sk6,sk2),sk1(sk5,sk2)),true),true),true),
inference(step,[status(thm)],[t417,t19]) ).
cnf(t419,plain,
true = ifeq(true,true,ifeq(greater(sk6,sk5),true,greater(sk1(sk6,sk2),sk1(sk5,sk2)),true),true),
inference(step,[status(thm)],[t418,t13]) ).
cnf(t420,plain,
true = ifeq(greater(sk6,sk5),true,greater(sk1(sk6,sk2),sk1(sk5,sk2)),true),
inference(step,[status(thm)],[t419,t13]) ).
cnf(f10,negated_conjecture,
greater(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_11) ).
fof(f10_nnf,plain,
greater(sk6,sk5),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
greater(sk6,sk5),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(t0,plain,
greater(sk6,sk5) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t35,plain,
greater(sk6,sk5) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t421,plain,
true = ifeq(true,true,greater(sk1(sk6,sk2),sk1(sk5,sk2)),true),
inference(step,[status(thm)],[t420,t35]) ).
cnf(t422,plain,
true = greater(sk1(sk6,sk2),sk1(sk5,sk2)),
inference(step,[status(thm)],[t421,t13]) ).
cnf(t108,plain,
greater(sk1(sk6,sk2),sk1(sk5,sk2)) = true,
inference(orient,[status(thm)],[t422]) ).
cnf(t271,plain,
true = ifeq(inertia(sk2,sk1(sk5,sk2),sk5),true,ifeq(inertia(sk2,sk1(sk6,sk2),sk6),true,ifeq(survival_chance(sk2,X1,sk5),true,ifeq(true,true,greater(sk4,X1),true),true),true),true),
inference(cp,[status(thm)],[t267,t108]) ).
cnf(t518,plain,
true = ifeq(true,true,ifeq(inertia(sk2,sk1(sk6,sk2),sk6),true,ifeq(survival_chance(sk2,X1,sk5),true,ifeq(true,true,greater(sk4,X1),true),true),true),true),
inference(step,[status(thm)],[t271,t63]) ).
cnf(t519,plain,
true = ifeq(inertia(sk2,sk1(sk6,sk2),sk6),true,ifeq(survival_chance(sk2,X1,sk5),true,ifeq(true,true,greater(sk4,X1),true),true),true),
inference(step,[status(thm)],[t518,t13]) ).
cnf(t520,plain,
true = ifeq(true,true,ifeq(survival_chance(sk2,X1,sk5),true,ifeq(true,true,greater(sk4,X1),true),true),true),
inference(step,[status(thm)],[t519,t68]) ).
cnf(t521,plain,
true = ifeq(survival_chance(sk2,X1,sk5),true,ifeq(true,true,greater(sk4,X1),true),true),
inference(step,[status(thm)],[t520,t13]) ).
cnf(t522,plain,
true = ifeq(survival_chance(sk2,X1,sk5),true,greater(sk4,X1),true),
inference(step,[status(thm)],[t521,t13]) ).
cnf(t275,plain,
ifeq(survival_chance(sk2,X1,sk5),true,greater(sk4,X1),true) = true,
inference(orient,[status(thm)],[t522]) ).
cnf(f8,negated_conjecture,
survival_chance(sk2,sk3,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_9) ).
fof(f8_nnf,plain,
survival_chance(sk2,sk3,sk5),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
survival_chance(sk2,sk3,sk5),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(t4,plain,
survival_chance(sk2,sk3,sk5) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t43,plain,
survival_chance(sk2,sk3,sk5) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t276,plain,
true = ifeq(true,true,greater(sk4,sk3),true),
inference(cp,[status(thm)],[t275,t43]) ).
cnf(t523,plain,
true = greater(sk4,sk3),
inference(step,[status(thm)],[t276,t13]) ).
cnf(t524,plain,
true = sFlat0,
inference(step,[status(thm)],[t523,t46]) ).
cnf(t278,plain,
true = sFlat0,
inference(orient,[status(thm)],[t524]) ).
cnf(f11,negated_conjecture,
~ greater(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_12) ).
fof(f11_nnf,plain,
~ greater(sk4,sk3),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
~ greater(sk4,sk3),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ greater(sk4,sk3),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(goal_0,negated_conjecture,
greater(sk4,sk3) != true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(g0_0,plain,
sFlat0 != true,
inference(rw,[status(thm)],[goal_0,t46]) ).
cnf(g0_1,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_0,t278]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT003-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 00:51:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.98/1.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/1.60 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------