%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT008-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.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 02:11:16 PM UTC 2026
% Result : Unsatisfiable 6.91s 1.63s
% Output : Proof 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 16
% Syntax : Number of formulae : 132 ( 120 unt; 0 def)
% Number of atoms : 208 ( 82 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 158 ( 82 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 avg)
% Maximal term depth : 10 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 242 ( 2 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,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/sandbox2/benchmark/theBenchmark.p',t1_FOL_3) ).
fof(f2_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)],[f2]) ).
fof(f2_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)],[f2_nnf]) ).
cnf(c2,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)],[f2_sk]) ).
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(equality_encoding,[status(esa)],[c2]) ).
cnf(t19,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)],[t16]) ).
cnf(f4,negated_conjecture,
organization(sk3,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_5) ).
fof(f4_nnf,plain,
organization(sk3,sk10),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
organization(sk3,sk10),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(t2,plain,
organization(sk3,sk10) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t21,plain,
organization(sk3,sk10) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t26,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(sk3,sk10,sk10),true,ifeq(inertia(X1,X3,X2),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk3,X6,sk10),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t19,t21]) ).
cnf(t11,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t17,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t11]) ).
cnf(t951,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(sk3,sk10,sk10),true,ifeq(inertia(X1,X3,X2),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk3,X6,sk10),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t26,t17]) ).
cnf(f6,negated_conjecture,
reorganization_free(sk3,sk10,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_7) ).
fof(f6_nnf,plain,
reorganization_free(sk3,sk10,sk10),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
reorganization_free(sk3,sk10,sk10),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(t6,plain,
reorganization_free(sk3,sk10,sk10) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t54,plain,
reorganization_free(sk3,sk10,sk10) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t952,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(true,true,ifeq(inertia(X1,X3,X2),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk3,X6,sk10),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t951,t54]) ).
cnf(t953,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(inertia(X1,X3,X2),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk3,X6,sk10),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t952,t17]) ).
cnf(t602,plain,
ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(inertia(X1,X3,X2),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk3,X6,sk10),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t953]) ).
cnf(f9,negated_conjecture,
survival_chance(sk2,sk5,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_10) ).
fof(f9_nnf,plain,
survival_chance(sk2,sk5,sk9),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
survival_chance(sk2,sk5,sk9),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(t9,plain,
survival_chance(sk2,sk5,sk9) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t63,plain,
survival_chance(sk2,sk5,sk9) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t608,plain,
true = ifeq(organization(sk2,sk9),true,ifeq(reorganization_free(sk2,sk9,sk9),true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,ifeq(survival_chance(sk3,X3,sk10),true,ifeq(greater(X2,X1),true,greater(X3,sk5),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t602,t63]) ).
cnf(f3,negated_conjecture,
organization(sk2,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_4) ).
fof(f3_nnf,plain,
organization(sk2,sk9),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
organization(sk2,sk9),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(t1,plain,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t27,plain,
organization(sk2,sk9) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t957,plain,
true = ifeq(true,true,ifeq(reorganization_free(sk2,sk9,sk9),true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,ifeq(survival_chance(sk3,X3,sk10),true,ifeq(greater(X2,X1),true,greater(X3,sk5),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t608,t27]) ).
cnf(t958,plain,
true = ifeq(reorganization_free(sk2,sk9,sk9),true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,ifeq(survival_chance(sk3,X3,sk10),true,ifeq(greater(X2,X1),true,greater(X3,sk5),true),true),true),true),true),true),
inference(step,[status(thm)],[t957,t17]) ).
cnf(f5,negated_conjecture,
reorganization_free(sk2,sk9,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_6) ).
fof(f5_nnf,plain,
reorganization_free(sk2,sk9,sk9),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
reorganization_free(sk2,sk9,sk9),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(t5,plain,
reorganization_free(sk2,sk9,sk9) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t57,plain,
reorganization_free(sk2,sk9,sk9) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t959,plain,
true = ifeq(true,true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,ifeq(survival_chance(sk3,X3,sk10),true,ifeq(greater(X2,X1),true,greater(X3,sk5),true),true),true),true),true),true),
inference(step,[status(thm)],[t958,t57]) ).
cnf(t960,plain,
true = ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,ifeq(survival_chance(sk3,X3,sk10),true,ifeq(greater(X2,X1),true,greater(X3,sk5),true),true),true),true),true),
inference(step,[status(thm)],[t959,t17]) ).
cnf(t961,plain,
true = ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(survival_chance(sk3,X3,sk10),true,ifeq(greater(X2,X1),true,greater(X3,sk5),true),true),true),true),
inference(step,[status(thm)],[t960,t17]) ).
cnf(t623,plain,
ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(survival_chance(sk3,X3,sk10),true,ifeq(greater(X2,X1),true,greater(X3,sk5),true),true),true),true) = true,
inference(orient,[status(thm)],[t961]) ).
cnf(f1,hypothesis,
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_2) ).
fof(f1_nnf,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t15,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(class(X1,X5,X2),true,ifeq(class(X3,X5,X4),true,ifeq(size(X1,X6,X2),true,ifeq(size(X3,X7,X4),true,ifeq(inertia(X1,X8,X2),true,ifeq(inertia(X3,X9,X4),true,ifeq(greater(X7,X6),true,greater(X9,X8),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t18,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(class(X1,X5,X2),true,ifeq(class(X3,X5,X4),true,ifeq(size(X1,X6,X2),true,ifeq(size(X3,X7,X4),true,ifeq(inertia(X1,X8,X2),true,ifeq(inertia(X3,X9,X4),true,ifeq(greater(X7,X6),true,greater(X9,X8),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t24,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(class(X1,X3,X2),true,ifeq(class(sk3,X3,sk10),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk3,X5,sk10),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk3,X7,sk10),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t18,t21]) ).
cnf(t834,plain,
true = ifeq(organization(X1,X2),true,ifeq(class(X1,X3,X2),true,ifeq(class(sk3,X3,sk10),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk3,X5,sk10),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk3,X7,sk10),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t24,t17]) ).
cnf(t301,plain,
ifeq(organization(X1,X2),true,ifeq(class(X1,X3,X2),true,ifeq(class(sk3,X3,sk10),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk3,X5,sk10),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk3,X7,sk10),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t834]) ).
cnf(f7,negated_conjecture,
class(sk2,sk4,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_8) ).
fof(f7_nnf,plain,
class(sk2,sk4,sk9),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
class(sk2,sk4,sk9),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(t3,plain,
class(sk2,sk4,sk9) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t51,plain,
class(sk2,sk4,sk9) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t305,plain,
true = ifeq(organization(sk2,sk9),true,ifeq(true,true,ifeq(class(sk3,sk4,sk10),true,ifeq(size(sk2,X1,sk9),true,ifeq(size(sk3,X2,sk10),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t301,t51]) ).
cnf(t844,plain,
true = ifeq(true,true,ifeq(true,true,ifeq(class(sk3,sk4,sk10),true,ifeq(size(sk2,X1,sk9),true,ifeq(size(sk3,X2,sk10),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t305,t27]) ).
cnf(t845,plain,
true = ifeq(true,true,ifeq(class(sk3,sk4,sk10),true,ifeq(size(sk2,X1,sk9),true,ifeq(size(sk3,X2,sk10),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t844,t17]) ).
cnf(t846,plain,
true = ifeq(class(sk3,sk4,sk10),true,ifeq(size(sk2,X1,sk9),true,ifeq(size(sk3,X2,sk10),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t845,t17]) ).
cnf(f8,negated_conjecture,
class(sk3,sk4,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_9) ).
fof(f8_nnf,plain,
class(sk3,sk4,sk10),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
class(sk3,sk4,sk10),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(t4,plain,
class(sk3,sk4,sk10) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t48,plain,
class(sk3,sk4,sk10) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t847,plain,
true = ifeq(true,true,ifeq(size(sk2,X1,sk9),true,ifeq(size(sk3,X2,sk10),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t846,t48]) ).
cnf(t848,plain,
true = ifeq(size(sk2,X1,sk9),true,ifeq(size(sk3,X2,sk10),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),
inference(step,[status(thm)],[t847,t17]) ).
cnf(t327,plain,
ifeq(size(sk2,X1,sk9),true,ifeq(size(sk3,X2,sk10),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(inertia(sk3,X4,sk10),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t848]) ).
cnf(f13,negated_conjecture,
greater(sk8,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_14) ).
fof(f13_nnf,plain,
greater(sk8,sk7),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
greater(sk8,sk7),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(t0,plain,
greater(sk8,sk7) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t43,plain,
greater(sk8,sk7) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t332,plain,
true = ifeq(size(sk2,sk7,sk9),true,ifeq(size(sk3,sk8,sk10),true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(cp,[status(thm)],[t327,t43]) ).
cnf(f11,negated_conjecture,
size(sk2,sk7,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_12) ).
fof(f11_nnf,plain,
size(sk2,sk7,sk9),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
size(sk2,sk7,sk9),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(t7,plain,
size(sk2,sk7,sk9) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t69,plain,
size(sk2,sk7,sk9) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(t849,plain,
true = ifeq(true,true,ifeq(size(sk3,sk8,sk10),true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(step,[status(thm)],[t332,t69]) ).
cnf(t850,plain,
true = ifeq(size(sk3,sk8,sk10),true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t849,t17]) ).
cnf(f12,negated_conjecture,
size(sk3,sk8,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_13) ).
fof(f12_nnf,plain,
size(sk3,sk8,sk10),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
size(sk3,sk8,sk10),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(t8,plain,
size(sk3,sk8,sk10) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t66,plain,
size(sk3,sk8,sk10) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t851,plain,
true = ifeq(true,true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t850,t66]) ).
cnf(t852,plain,
true = ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),
inference(step,[status(thm)],[t851,t17]) ).
cnf(t853,plain,
true = ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,greater(X2,X1),true),true),
inference(step,[status(thm)],[t852,t17]) ).
cnf(t334,plain,
ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,greater(X2,X1),true),true) = true,
inference(orient,[status(thm)],[t853]) ).
cnf(f0,axiom,
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_1) ).
fof(f0_nnf,plain,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(organization(X0,X1),true,inertia(X0,sk1(X1,X0),X1),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(hi3,negated_conjecture,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t12,plain,
inertia(sk2,sk1(sk9,sk2),sk9) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3]) ).
cnf(t38,plain,
inertia(sk2,sk1(sk9,sk2),sk9) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t335,plain,
true = ifeq(true,true,ifeq(inertia(sk3,X1,sk10),true,greater(X1,sk1(sk9,sk2)),true),true),
inference(cp,[status(thm)],[t334,t38]) ).
cnf(t854,plain,
true = ifeq(inertia(sk3,X1,sk10),true,greater(X1,sk1(sk9,sk2)),true),
inference(step,[status(thm)],[t335,t17]) ).
cnf(t338,plain,
ifeq(inertia(sk3,X1,sk10),true,greater(X1,sk1(sk9,sk2)),true) = true,
inference(orient,[status(thm)],[t854]) ).
cnf(hi4,negated_conjecture,
organization(sk3,sk10) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t13,plain,
inertia(sk3,sk1(sk10,sk3),sk10) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi4]) ).
cnf(t33,plain,
inertia(sk3,sk1(sk10,sk3),sk10) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t339,plain,
true = ifeq(true,true,greater(sk1(sk10,sk3),sk1(sk9,sk2)),true),
inference(cp,[status(thm)],[t338,t33]) ).
cnf(t855,plain,
true = greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(step,[status(thm)],[t339,t17]) ).
cnf(t341,plain,
greater(sk1(sk10,sk3),sk1(sk9,sk2)) = true,
inference(orient,[status(thm)],[t855]) ).
cnf(t629,plain,
true = ifeq(inertia(sk2,sk1(sk9,sk2),sk9),true,ifeq(inertia(sk3,sk1(sk10,sk3),sk10),true,ifeq(survival_chance(sk3,X1,sk10),true,ifeq(true,true,greater(X1,sk5),true),true),true),true),
inference(cp,[status(thm)],[t623,t341]) ).
cnf(t962,plain,
true = ifeq(true,true,ifeq(inertia(sk3,sk1(sk10,sk3),sk10),true,ifeq(survival_chance(sk3,X1,sk10),true,ifeq(true,true,greater(X1,sk5),true),true),true),true),
inference(step,[status(thm)],[t629,t38]) ).
cnf(t963,plain,
true = ifeq(inertia(sk3,sk1(sk10,sk3),sk10),true,ifeq(survival_chance(sk3,X1,sk10),true,ifeq(true,true,greater(X1,sk5),true),true),true),
inference(step,[status(thm)],[t962,t17]) ).
cnf(t964,plain,
true = ifeq(true,true,ifeq(survival_chance(sk3,X1,sk10),true,ifeq(true,true,greater(X1,sk5),true),true),true),
inference(step,[status(thm)],[t963,t33]) ).
cnf(t965,plain,
true = ifeq(survival_chance(sk3,X1,sk10),true,ifeq(true,true,greater(X1,sk5),true),true),
inference(step,[status(thm)],[t964,t17]) ).
cnf(t966,plain,
true = ifeq(survival_chance(sk3,X1,sk10),true,greater(X1,sk5),true),
inference(step,[status(thm)],[t965,t17]) ).
cnf(t630,plain,
ifeq(survival_chance(sk3,X1,sk10),true,greater(X1,sk5),true) = true,
inference(orient,[status(thm)],[t966]) ).
cnf(f10,negated_conjecture,
survival_chance(sk3,sk6,sk10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_11) ).
fof(f10_nnf,plain,
survival_chance(sk3,sk6,sk10),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
survival_chance(sk3,sk6,sk10),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(t10,plain,
survival_chance(sk3,sk6,sk10) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t60,plain,
survival_chance(sk3,sk6,sk10) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t631,plain,
true = ifeq(true,true,greater(sk6,sk5),true),
inference(cp,[status(thm)],[t630,t60]) ).
cnf(t967,plain,
true = greater(sk6,sk5),
inference(step,[status(thm)],[t631,t17]) ).
cnf(t634,plain,
greater(sk6,sk5) = true,
inference(orient,[status(thm)],[t967]) ).
cnf(f14,negated_conjecture,
~ greater(sk6,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL_15) ).
fof(f14_nnf,plain,
~ greater(sk6,sk5),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
~ greater(sk6,sk5),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
~ greater(sk6,sk5),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(goal_0,negated_conjecture,
greater(sk6,sk5) != true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t634]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT008-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 00:56:10 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.91/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.91/1.63 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------