%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL106-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Thu Sep 24 12:09:38 PM UTC 2026
% Result : Unsatisfiable 0.68s 0.57s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of clauses : 68 ( 19 unt; 22 nHn; 58 RR)
% Number of literals : 165 ( 108 equ; 55 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 123 ( 32 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Comb_OAp__parcontractE_2,axiom,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(X1,X2,X3)),v_sko__uTG(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3)
| X3 = c_Comb_Ocomb_Oop_A_D_D(X1,X2)
| c_in(c_Pair(X1,v_sko__uTI(X1,X2,X3),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OAp__parcontractE_2) ).
cnf(cls_Comb_OK1__parcontractD__dest_0,axiom,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X2 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OK1__parcontractD__dest_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),v_xb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Comb_Ocomb_Oinject__iff1_0,axiom,
( c_Comb_Ocomb_Oop_A_D_D(X1,X2) != c_Comb_Ocomb_Oop_A_D_D(X3,X4)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_0) ).
cnf(cls_Comb_OAp__parcontractE_0,axiom,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X3 = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(X1,X2,X3),v_sko__uTH(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(X1,X2,X3)),v_sko__uTG(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3)
| X3 = c_Comb_Ocomb_Oop_A_D_D(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OAp__parcontractE_0) ).
cnf(cls_Comb_Ocomb_Odistinct__3__iff1_0,axiom,
c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Odistinct__3__iff1_0) ).
cnf(cls_Comb_OK1__parcontractD__dest_1,axiom,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X1,v_sko__uTE(X1,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_OK1__parcontractD__dest_1) ).
cnf(cls_Comb_Oparcontract_Ointros__2_0,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__2_0) ).
cnf(cls_Comb_Oparcontract_Ointros__4_0,axiom,
( ~ c_in(c_Pair(X3,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X3,X1),c_Comb_Ocomb_Oop_A_D_D(X4,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Pair(v_x,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_xb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Comb_Ocomb_Oinject__iff1_1,axiom,
( c_Comb_Ocomb_Oop_A_D_D(X1,X2) != c_Comb_Ocomb_Oop_A_D_D(X3,X4)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_1) ).
cnf(cls_Comb_Oparcontract_Ointros__1_0,axiom,
c_in(c_Pair(X1,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).
cnf(c_0_12,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(X1,X2,X3)),v_sko__uTG(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3)
| X3 = c_Comb_Ocomb_Oop_A_D_D(X1,X2)
| c_in(c_Pair(X1,v_sko__uTI(X1,X2,X3),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(fof_simplification,[status(thm)],[cls_Comb_OAp__parcontractE_2]) ).
cnf(c_0_13,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X2 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_Comb_OK1__parcontractD__dest_0]) ).
cnf(c_0_14,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(X1,X2,X3)),v_sko__uTG(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3)
| X3 = c_Comb_Ocomb_Oop_A_D_D(X1,X2)
| c_in(c_Pair(X1,v_sko__uTI(X1,X2,X3),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),v_xb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
cls_conjecture_0 ).
cnf(c_0_16,plain,
( c_Comb_Ocomb_Oop_A_D_D(X1,X2) != c_Comb_Ocomb_Oop_A_D_D(X3,X4)
| X1 = X3 ),
inference(fof_simplification,[status(thm)],[cls_Comb_Ocomb_Oinject__iff1_0]) ).
cnf(c_0_17,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X2 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,X2)) ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),v_sko__uTG(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X3 = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(X1,X2,X3),v_sko__uTH(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(X1,X2,X3)),v_sko__uTG(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3)
| X3 = c_Comb_Ocomb_Oop_A_D_D(X1,X2) ),
inference(fof_simplification,[status(thm)],[cls_Comb_OAp__parcontractE_0]) ).
cnf(c_0_20,plain,
( c_Comb_Ocomb_Oop_A_D_D(X1,X2) != c_Comb_Ocomb_Oop_A_D_D(X3,X4)
| X1 = X3 ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb))) = v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),v_sko__uTG(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(X1,X2),
inference(fof_simplification,[status(thm)],[cls_Comb_Ocomb_Odistinct__3__iff1_0]) ).
cnf(c_0_23,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X1,X2),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| X3 = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(X1,X2,X3),v_sko__uTH(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(X1,X2,X3)),v_sko__uTG(X1,X2,X3))
| X1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X3)
| X3 = c_Comb_Ocomb_Oop_A_D_D(X1,X2) ),
c_0_19 ).
cnf(c_0_24,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) != c_Comb_Ocomb_Oop_A_D_D(X1,X2)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = X1
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb))) = v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(X1,X2),
c_0_22 ).
cnf(c_0_26,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),v_sko__uTH(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),v_sko__uTG(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_27,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X1,v_sko__uTE(X1,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(fof_simplification,[status(thm)],[cls_Comb_OK1__parcontractD__dest_1]) ).
cnf(c_0_28,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
cls_Comb_Oparcontract_Ointros__2_0 ).
cnf(c_0_29,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb))) = v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_24]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) != c_Comb_Ocomb_Oop_A_D_D(X1,X2)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = X1
| c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),v_sko__uTH(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = v_xb ),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_31,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X1,v_sko__uTE(X1,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
c_0_27 ).
cnf(c_0_32,plain,
( ~ c_in(c_Pair(X3,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X3,X1),c_Comb_Ocomb_Oop_A_D_D(X4,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(fof_simplification,[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0]) ).
cnf(c_0_33,negated_conjecture,
( ~ c_in(c_Pair(v_x,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_xb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_34,negated_conjecture,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),X1),v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),v_sko__uTH(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = v_xb ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_30]),c_0_25]) ).
cnf(c_0_36,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1)),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2))) = v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
cnf(c_0_37,plain,
( ~ c_in(c_Pair(X3,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X3,X1),c_Comb_Ocomb_Oop_A_D_D(X4,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
c_0_32 ).
cnf(c_0_38,negated_conjecture,
( ~ c_in(c_Pair(v_x,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_xb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
c_0_33 ).
cnf(c_0_39,negated_conjecture,
( c_in(c_Pair(v_xb,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_OK,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),c_Comb_Ocomb_Oop_A_D_D(X2,X3)))) = v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),c_Comb_Ocomb_Oop_A_D_D(X2,X3)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( ~ c_in(c_Pair(v_x,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( c_Comb_Ocomb_Oop_A_D_D(X1,X2) != c_Comb_Ocomb_Oop_A_D_D(X3,X4)
| X2 = X4 ),
inference(fof_simplification,[status(thm)],[cls_Comb_Ocomb_Oinject__iff1_1]) ).
cnf(c_0_43,axiom,
c_in(c_Pair(X1,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
cls_Comb_Oparcontract_Ointros__1_0 ).
cnf(c_0_44,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_OK,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X2),X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X2),c_Comb_Ocomb_Oop_A_D_D(X3,X4)) != c_Comb_Ocomb_Oop_A_D_D(X1,X5)
| c_Comb_Ocomb_OK = X1 ),
inference(spm,[status(thm)],[c_0_20,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_46,plain,
( c_Comb_Ocomb_Oop_A_D_D(X1,X2) != c_Comb_Ocomb_Oop_A_D_D(X3,X4)
| X2 = X4 ),
c_0_42 ).
cnf(c_0_47,plain,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1))) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),
inference(spm,[status(thm)],[c_0_17,c_0_43]) ).
cnf(c_0_48,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_OK,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X2),c_Comb_Ocomb_Oop_A_D_D(X3,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X2))) != c_Comb_Ocomb_Oop_A_D_D(X1,X4)
| c_Comb_Ocomb_OK = X1 ),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),v_sko__uTG(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(spm,[status(thm)],[c_0_45,c_0_18]) ).
cnf(c_0_50,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1) != c_Comb_Ocomb_Oop_A_D_D(X3,X2)
| v_sko__uTE(X1,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1)) = X2 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( ~ c_in(c_Pair(X1,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_OK,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,c_Comb_Ocomb_Oop_A_D_D(X2,X3))) = c_Comb_Ocomb_Oop_A_D_D(X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_37]) ).
cnf(c_0_52,negated_conjecture,
( ~ c_in(c_Pair(c_Comb_Ocomb_OK,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),c_Comb_Ocomb_Oop_A_D_D(X2,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1))) != c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25]) ).
cnf(c_0_53,plain,
v_sko__uTE(X1,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1)) = X1,
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(X1,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X2))) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_43]) ).
cnf(c_0_55,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1) != c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_43]),c_0_53]) ).
cnf(c_0_56,negated_conjecture,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb))) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb),
inference(spm,[status(thm)],[c_0_54,c_0_15]) ).
cnf(c_0_57,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_58,plain,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1))) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),
inference(spm,[status(thm)],[c_0_54,c_0_28]) ).
cnf(c_0_59,negated_conjecture,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) != c_Comb_Ocomb_Oop_A_D_D(X2,X1)
| v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb)) = X1 ),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( c_in(c_Pair(v_xb,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(spm,[status(thm)],[c_0_28,c_0_57]) ).
cnf(c_0_61,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1) != c_Comb_Ocomb_Oop_A_D_D(X4,X3)
| v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1)) = X3 ),
inference(spm,[status(thm)],[c_0_46,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb)) = v_xb,
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_63,negated_conjecture,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_60]),c_0_43])]) ).
cnf(c_0_64,plain,
v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1)) = X1,
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_65,negated_conjecture,
~ c_in(c_Pair(v_x,v_xb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_66,negated_conjecture,
v_xb = v_x,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL106-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:14:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.57 % Version: 3.5.1
% 0.68/0.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.68/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.68/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.68/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.68/0.57 % Starting sh5l with 300s (1) cores
% 0.68/0.57 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3484063 completed with status 0
% 0.68/0.57 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.68/0.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.68/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.68/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.68/0.57 % No SInE strategy applied
% 0.68/0.57 % Search class: FGHSS-FFMF32-MFFFFFNN
% 0.68/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.68/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.68/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.68/0.57 % Starting new_bool_3 with 136s (1) cores
% 0.68/0.57 % Starting new_bool_1 with 136s (1) cores
% 0.68/0.57 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3484069 completed with status 0
% 0.68/0.57 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.68/0.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.68/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.68/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.68/0.57 % No SInE strategy applied
% 0.68/0.57 % Search class: FGHSS-FFMF32-MFFFFFNN
% 0.68/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.68/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.68/0.57 % Preprocessing time : 0.001 s
% 0.68/0.57 % Presaturation interreduction done
% 0.68/0.57
% 0.68/0.57 % Proof found!
% 0.68/0.57 % SZS status Unsatisfiable
% 0.68/0.57 % SZS output start CNFRefutation
% See solution above
% 0.68/0.57 % Parsed axioms : 12
% 0.68/0.57 % Removed by relevancy pruning/SinE : 0
% 0.68/0.57 % Initial clauses : 12
% 0.68/0.57 % Removed in clause preprocessing : 0
% 0.68/0.57 % Initial clauses in saturation : 12
% 0.68/0.57 % Processed clauses : 334
% 0.68/0.57 % ...of these trivial : 0
% 0.68/0.57 % ...subsumed : 138
% 0.68/0.57 % ...remaining for further processing : 196
% 0.68/0.57 % Other redundant clauses eliminated : 0
% 0.68/0.57 % Clauses deleted for lack of memory : 0
% 0.68/0.57 % Backward-subsumed : 76
% 0.68/0.57 % Backward-rewritten : 26
% 0.68/0.57 % Generated clauses : 1799
% 0.68/0.57 % ...of the previous two non-redundant : 1734
% 0.68/0.57 % ...aggressively subsumed : 0
% 0.68/0.57 % Contextual simplify-reflections : 2
% 0.68/0.57 % Paramodulations : 1779
% 0.68/0.57 % Factorizations : 0
% 0.68/0.57 % NegExts : 0
% 0.68/0.57 % Equation resolutions : 20
% 0.68/0.57 % Disequality decompositions : 0
% 0.68/0.57 % Total rewrite steps : 459
% 0.68/0.57 % ...of those cached : 383
% 0.68/0.57 % Propositional unsat checks : 0
% 0.68/0.57 % Propositional check models : 0
% 0.68/0.57 % Propositional check unsatisfiable : 0
% 0.68/0.57 % Propositional clauses : 0
% 0.68/0.57 % Propositional clauses after purity: 0
% 0.68/0.57 % Propositional unsat core size : 0
% 0.68/0.57 % Propositional preprocessing time : 0.000
% 0.68/0.57 % Propositional encoding time : 0.000
% 0.68/0.57 % Propositional solver time : 0.000
% 0.68/0.57 % Success case prop preproc time : 0.000
% 0.68/0.57 % Success case prop encoding time : 0.000
% 0.68/0.57 % Success case prop solver time : 0.000
% 0.68/0.57 % Current number of processed clauses : 82
% 0.68/0.57 % Positive orientable unit clauses : 9
% 0.68/0.57 % Positive unorientable unit clauses: 0
% 0.68/0.57 % Negative unit clauses : 2
% 0.68/0.57 % Non-unit-clauses : 71
% 0.68/0.57 % Current number of unprocessed clauses: 1364
% 0.68/0.57 % ...number of literals in the above : 6687
% 0.68/0.57 % Current number of archived formulas : 0
% 0.68/0.57 % Current number of archived clauses : 114
% 0.68/0.57 % Clause-clause subsumption calls (NU) : 6078
% 0.68/0.57 % Rec. Clause-clause subsumption calls : 1791
% 0.68/0.57 % Non-unit clause-clause subsumptions : 188
% 0.68/0.57 % Unit Clause-clause subsumption calls : 150
% 0.68/0.57 % Rewrite failures with RHS unbound : 0
% 0.68/0.57 % BW rewrite match attempts : 38
% 0.68/0.57 % BW rewrite match successes : 13
% 0.68/0.57 % Condensation attempts : 0
% 0.68/0.57 % Condensation successes : 0
% 0.68/0.57 % Termbank termtop insertions : 85015
% 0.68/0.57 % Search garbage collected termcells : 25
% 0.68/0.57
% 0.68/0.57 % -------------------------------------------------
% 0.68/0.57 % User time : 0.092 s
% 0.68/0.57 % System time : 0.007 s
% 0.68/0.57 % Total time : 0.099 s
% 0.68/0.57 % Maximum resident set size: 3592 pages
% 0.68/0.57
% 0.68/0.57 % -------------------------------------------------
% 0.68/0.57 % User time : 0.614 s
% 0.68/0.57 % System time : 0.044 s
% 0.68/0.57 % Total time : 0.659 s
% 0.68/0.57 % Maximum resident set size: 4608 pages
% 0.68/0.57 % E exiting
%------------------------------------------------------------------------------