%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT008+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 : Theorem 9.73s 2.01s
% Output : Proof 9.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 5
% Syntax : Number of formulae : 111 ( 95 unt; 0 def)
% Number of atoms : 231 ( 82 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 183 ( 63 ~; 57 |; 58 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 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 : 271 ( 2 sgn 75 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,hypothesis,
! [X,Y,T1,T2,I1,I2,P1,P2] :
( ( greater(I2,I1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& inertia(Y,I2,T2)
& inertia(X,I1,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).
fof(f2_nnf,plain,
! [X,Y,T1,T2,I1,I2,P1,P2] :
( greater(P2,P1)
| ~ greater(I2,I1)
| ~ survival_chance(Y,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,T1,Y,T2,I1,I2,P1,P2] :
( greater(P2,P1)
| ~ greater(I2,I1)
| ~ survival_chance(Y,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ survival_chance(X1,X7,X3)
| ~ survival_chance(X0,X6,X2)
| ~ inertia(X1,X5,X3)
| ~ inertia(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
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]) ).
fof(f3,conjecture,
! [X,Y,C,P1,P2,S1,S2,T1,T2] :
( ( greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_FOL) ).
fof(f3_neg,negated_conjecture,
~ ! [X,Y,C,P1,P2,S1,S2,T1,T2] :
( ( greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [X,Y,C,P1,P2,S1,S2,T1,T2] :
( ~ greater(P2,P1)
& greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
( ~ greater(sk5,sk4)
& greater(sk7,sk6)
& size(sk2,sk7,sk9)
& size(sk1,sk6,sk8)
& survival_chance(sk2,sk5,sk9)
& survival_chance(sk1,sk4,sk8)
& class(sk2,sk3,sk9)
& class(sk1,sk3,sk8)
& reorganization_free(sk2,sk9,sk9)
& reorganization_free(sk1,sk8,sk8)
& organization(sk2,sk9)
& organization(sk1,sk8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9])],[f3_nnf]) ).
cnf(c4,plain,
organization(sk2,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t2,plain,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t21,plain,
organization(sk2,sk9) = 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(sk2,sk9,sk9),true,ifeq(inertia(X1,X3,X2),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk2,X6,sk9),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(sk2,sk9,sk9),true,ifeq(inertia(X1,X3,X2),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk2,X6,sk9),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t26,t17]) ).
cnf(c6,plain,
reorganization_free(sk2,sk9,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t6,plain,
reorganization_free(sk2,sk9,sk9) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t54,plain,
reorganization_free(sk2,sk9,sk9) = 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(sk2,X4,sk9),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk2,X6,sk9),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(sk2,X4,sk9),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk2,X6,sk9),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(sk2,X4,sk9),true,ifeq(survival_chance(X1,X5,X2),true,ifeq(survival_chance(sk2,X6,sk9),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t953]) ).
cnf(c9,plain,
survival_chance(sk1,sk4,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t9,plain,
survival_chance(sk1,sk4,sk8) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t63,plain,
survival_chance(sk1,sk4,sk8) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t608,plain,
true = ifeq(organization(sk1,sk8),true,ifeq(reorganization_free(sk1,sk8,sk8),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,ifeq(survival_chance(sk2,X3,sk9),true,ifeq(greater(X2,X1),true,greater(X3,sk4),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t602,t63]) ).
cnf(c3,plain,
organization(sk1,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t1,plain,
organization(sk1,sk8) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t27,plain,
organization(sk1,sk8) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t957,plain,
true = ifeq(true,true,ifeq(reorganization_free(sk1,sk8,sk8),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,ifeq(survival_chance(sk2,X3,sk9),true,ifeq(greater(X2,X1),true,greater(X3,sk4),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t608,t27]) ).
cnf(t958,plain,
true = ifeq(reorganization_free(sk1,sk8,sk8),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,ifeq(survival_chance(sk2,X3,sk9),true,ifeq(greater(X2,X1),true,greater(X3,sk4),true),true),true),true),true),true),
inference(step,[status(thm)],[t957,t17]) ).
cnf(c5,plain,
reorganization_free(sk1,sk8,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t5,plain,
reorganization_free(sk1,sk8,sk8) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t57,plain,
reorganization_free(sk1,sk8,sk8) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t959,plain,
true = ifeq(true,true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,ifeq(survival_chance(sk2,X3,sk9),true,ifeq(greater(X2,X1),true,greater(X3,sk4),true),true),true),true),true),true),
inference(step,[status(thm)],[t958,t57]) ).
cnf(t960,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,ifeq(survival_chance(sk2,X3,sk9),true,ifeq(greater(X2,X1),true,greater(X3,sk4),true),true),true),true),true),
inference(step,[status(thm)],[t959,t17]) ).
cnf(t961,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(survival_chance(sk2,X3,sk9),true,ifeq(greater(X2,X1),true,greater(X3,sk4),true),true),true),true),
inference(step,[status(thm)],[t960,t17]) ).
cnf(t623,plain,
ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(survival_chance(sk2,X3,sk9),true,ifeq(greater(X2,X1),true,greater(X3,sk4),true),true),true),true) = true,
inference(orient,[status(thm)],[t961]) ).
fof(f1,hypothesis,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( ( greater(S2,S1)
& inertia(Y,I2,T2)
& inertia(X,I1,T1)
& size(Y,S2,T2)
& size(X,S1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL) ).
fof(f1_nnf,plain,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( greater(I2,I1)
| ~ greater(S2,S1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ size(Y,S2,T2)
| ~ size(X,S1,T1)
| ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,T1,Y,T2,C,S1,S2,I1,I2] :
( greater(I2,I1)
| ~ greater(S2,S1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ size(Y,S2,T2)
| ~ size(X,S1,T1)
| ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ size(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
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(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk9),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(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk9),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(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk9),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t834]) ).
cnf(c7,plain,
class(sk1,sk3,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t3,plain,
class(sk1,sk3,sk8) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t51,plain,
class(sk1,sk3,sk8) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t305,plain,
true = ifeq(organization(sk1,sk8),true,ifeq(true,true,ifeq(class(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),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(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),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(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),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(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t845,t17]) ).
cnf(c8,plain,
class(sk2,sk3,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t4,plain,
class(sk2,sk3,sk9) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t48,plain,
class(sk2,sk3,sk9) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t847,plain,
true = ifeq(true,true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),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(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),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(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t848]) ).
cnf(c13,plain,
greater(sk7,sk6),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t0,plain,
greater(sk7,sk6) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t43,plain,
greater(sk7,sk6) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t332,plain,
true = ifeq(size(sk1,sk6,sk8),true,ifeq(size(sk2,sk7,sk9),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(cp,[status(thm)],[t327,t43]) ).
cnf(c11,plain,
size(sk1,sk6,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t7,plain,
size(sk1,sk6,sk8) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t69,plain,
size(sk1,sk6,sk8) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(t849,plain,
true = ifeq(true,true,ifeq(size(sk2,sk7,sk9),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(step,[status(thm)],[t332,t69]) ).
cnf(t850,plain,
true = ifeq(size(sk2,sk7,sk9),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t849,t17]) ).
cnf(c12,plain,
size(sk2,sk7,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t8,plain,
size(sk2,sk7,sk9) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t66,plain,
size(sk2,sk7,sk9) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t851,plain,
true = ifeq(true,true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t850,t66]) ).
cnf(t852,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),
inference(step,[status(thm)],[t851,t17]) ).
cnf(t853,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,greater(X2,X1),true),true),
inference(step,[status(thm)],[t852,t17]) ).
cnf(t334,plain,
ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,greater(X2,X1),true),true) = true,
inference(orient,[status(thm)],[t853]) ).
fof(f0,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).
fof(f0_nnf,plain,
! [X,T] :
( ? [I] : inertia(X,I,T)
| ~ organization(X,T) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,T] :
( inertia(X,sk0(X,T),T)
| ~ organization(X,T) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( inertia(X0,sk0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(organization(X0,X1),true,inertia(X0,sk0(X0,X1),X1),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(hi3,negated_conjecture,
organization(sk1,sk8) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t12,plain,
inertia(sk1,sk0(sk1,sk8),sk8) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3]) ).
cnf(t38,plain,
inertia(sk1,sk0(sk1,sk8),sk8) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t335,plain,
true = ifeq(true,true,ifeq(inertia(sk2,X1,sk9),true,greater(X1,sk0(sk1,sk8)),true),true),
inference(cp,[status(thm)],[t334,t38]) ).
cnf(t854,plain,
true = ifeq(inertia(sk2,X1,sk9),true,greater(X1,sk0(sk1,sk8)),true),
inference(step,[status(thm)],[t335,t17]) ).
cnf(t338,plain,
ifeq(inertia(sk2,X1,sk9),true,greater(X1,sk0(sk1,sk8)),true) = true,
inference(orient,[status(thm)],[t854]) ).
cnf(hi4,negated_conjecture,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t13,plain,
inertia(sk2,sk0(sk2,sk9),sk9) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi4]) ).
cnf(t33,plain,
inertia(sk2,sk0(sk2,sk9),sk9) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t339,plain,
true = ifeq(true,true,greater(sk0(sk2,sk9),sk0(sk1,sk8)),true),
inference(cp,[status(thm)],[t338,t33]) ).
cnf(t855,plain,
true = greater(sk0(sk2,sk9),sk0(sk1,sk8)),
inference(step,[status(thm)],[t339,t17]) ).
cnf(t341,plain,
greater(sk0(sk2,sk9),sk0(sk1,sk8)) = true,
inference(orient,[status(thm)],[t855]) ).
cnf(t629,plain,
true = ifeq(inertia(sk1,sk0(sk1,sk8),sk8),true,ifeq(inertia(sk2,sk0(sk2,sk9),sk9),true,ifeq(survival_chance(sk2,X1,sk9),true,ifeq(true,true,greater(X1,sk4),true),true),true),true),
inference(cp,[status(thm)],[t623,t341]) ).
cnf(t962,plain,
true = ifeq(true,true,ifeq(inertia(sk2,sk0(sk2,sk9),sk9),true,ifeq(survival_chance(sk2,X1,sk9),true,ifeq(true,true,greater(X1,sk4),true),true),true),true),
inference(step,[status(thm)],[t629,t38]) ).
cnf(t963,plain,
true = ifeq(inertia(sk2,sk0(sk2,sk9),sk9),true,ifeq(survival_chance(sk2,X1,sk9),true,ifeq(true,true,greater(X1,sk4),true),true),true),
inference(step,[status(thm)],[t962,t17]) ).
cnf(t964,plain,
true = ifeq(true,true,ifeq(survival_chance(sk2,X1,sk9),true,ifeq(true,true,greater(X1,sk4),true),true),true),
inference(step,[status(thm)],[t963,t33]) ).
cnf(t965,plain,
true = ifeq(survival_chance(sk2,X1,sk9),true,ifeq(true,true,greater(X1,sk4),true),true),
inference(step,[status(thm)],[t964,t17]) ).
cnf(t966,plain,
true = ifeq(survival_chance(sk2,X1,sk9),true,greater(X1,sk4),true),
inference(step,[status(thm)],[t965,t17]) ).
cnf(t630,plain,
ifeq(survival_chance(sk2,X1,sk9),true,greater(X1,sk4),true) = true,
inference(orient,[status(thm)],[t966]) ).
cnf(c10,plain,
survival_chance(sk2,sk5,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t10,plain,
survival_chance(sk2,sk5,sk9) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t60,plain,
survival_chance(sk2,sk5,sk9) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t631,plain,
true = ifeq(true,true,greater(sk5,sk4),true),
inference(cp,[status(thm)],[t630,t60]) ).
cnf(t967,plain,
true = greater(sk5,sk4),
inference(step,[status(thm)],[t631,t17]) ).
cnf(t634,plain,
greater(sk5,sk4) = true,
inference(orient,[status(thm)],[t967]) ).
cnf(c14,plain,
~ greater(sk5,sk4),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
greater(sk5,sk4) != 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 v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 00:57:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.73/2.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.73/2.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------