%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ064-1 : 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 : n026.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 02:02:29 PM UTC 2026
% Result : Unsatisfiable 219.99s 32.39s
% Output : CNFRefutation 219.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 84 ( 56 unt; 0 nHn; 57 RR)
% Number of literals : 132 ( 60 equ; 55 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 149 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
c_inter(c_union(v_a,v_t,t_a),v_u,t_a) = c_emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Relation_OImage__diag_0,axiom,
c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2) = c_inter(X1,X3,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Relation_OImage__diag_0) ).
cnf(cls_Set_ODiff__Compl_0,axiom,
c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)) = c_inter(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__Compl_0) ).
cnf(cls_Set_OCompl__Un_0,axiom,
c_uminus(c_union(X1,X2,X3),tc_set(X3)) = c_inter(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__Un_0) ).
cnf(cls_Set_ODiff__disjoint_0,axiom,
c_inter(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_emptyset,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__disjoint_0) ).
cnf(cls_Set_Odouble__complement_0,axiom,
c_uminus(c_uminus(X1,tc_set(X2)),tc_set(X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_Odouble__complement_0) ).
cnf(cls_Set_OUn__Diff__cancel2_0,axiom,
c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__Diff__cancel2_0) ).
cnf(cls_Set_OUn__empty__left_0,axiom,
c_union(c_emptyset,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty__left_0) ).
cnf(cls_Set_OUn__assoc_0,axiom,
c_union(c_union(X1,X2,X3),X4,X3) = c_union(X1,c_union(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__assoc_0) ).
cnf(cls_Mutil_Otiling_OUn_0,axiom,
( c_inter(X1,X4,X3) != c_emptyset
| ~ c_in(X4,c_Mutil_Otiling(X2,X3),tc_set(X3))
| ~ c_in(X1,X2,tc_set(X3))
| c_in(c_union(X1,X4,X3),c_Mutil_Otiling(X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Mutil_Otiling_OUn_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_inter(v_t,v_u,t_a) != c_emptyset
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Set_OUn__absorb_0,axiom,
c_union(X1,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__absorb_0) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(c_union(c_union(v_a,v_t,t_a),v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OCompl__Diff__eq_0,axiom,
c_uminus(c_minus(X1,X2,tc_set(X3)),tc_set(X3)) = c_union(c_uminus(X1,tc_set(X3)),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__Diff__eq_0) ).
cnf(cls_Set_OInt__subset__iff_2,axiom,
( ~ c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__subset__iff_2) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_a,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_ODiff__eq__empty__iff_1,axiom,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_minus(X1,X2,tc_set(X3)) = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__eq__empty__iff_1) ).
cnf(cls_Set_ODiff__cancel_0,axiom,
c_minus(X1,X1,tc_set(X2)) = c_emptyset,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__cancel_0) ).
cnf(cls_Set_ODiff__eq__empty__iff_0,axiom,
( c_minus(X1,X2,tc_set(X3)) != c_emptyset
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__eq__empty__iff_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_inter(v_a,v_t,t_a) = c_emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OUn__subset__iff_0,axiom,
( ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
| c_lessequals(X1,X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__subset__iff_0) ).
cnf(c_0_22,negated_conjecture,
c_inter(c_union(v_a,v_t,t_a),v_u,t_a) = c_emptyset,
cls_conjecture_4 ).
cnf(c_0_23,axiom,
c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2) = c_inter(X1,X3,X2),
cls_Relation_OImage__diag_0 ).
cnf(c_0_24,axiom,
c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)) = c_inter(X1,X2,X3),
cls_Set_ODiff__Compl_0 ).
cnf(c_0_25,axiom,
c_uminus(c_union(X1,X2,X3),tc_set(X3)) = c_inter(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3),
cls_Set_OCompl__Un_0 ).
cnf(c_0_26,negated_conjecture,
c_Relation_OImage(c_Relation_Odiag(c_union(v_a,v_t,t_a),t_a),v_u,t_a,t_a) = c_emptyset,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)) = c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),
inference(rw,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_28,axiom,
c_inter(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_emptyset,
cls_Set_ODiff__disjoint_0 ).
cnf(c_0_29,plain,
c_uminus(c_union(X1,X2,X3),tc_set(X3)) = c_Relation_OImage(c_Relation_Odiag(c_uminus(X1,tc_set(X3)),X3),c_uminus(X2,tc_set(X3)),X3,X3),
inference(rw,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_30,axiom,
c_uminus(c_uminus(X1,tc_set(X2)),tc_set(X2)) = X1,
cls_Set_Odouble__complement_0 ).
cnf(c_0_31,axiom,
c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
cls_Set_OUn__Diff__cancel2_0 ).
cnf(c_0_32,negated_conjecture,
c_minus(c_union(v_a,v_t,t_a),c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_emptyset,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,axiom,
c_union(c_emptyset,X1,X2) = X1,
cls_Set_OUn__empty__left_0 ).
cnf(c_0_34,axiom,
c_union(c_union(X1,X2,X3),X4,X3) = c_union(X1,c_union(X2,X4,X3),X3),
cls_Set_OUn__assoc_0 ).
cnf(c_0_35,plain,
c_Relation_OImage(c_Relation_Odiag(X1,X3),c_minus(X2,X1,tc_set(X3)),X3,X3) = c_emptyset,
inference(rw,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_36,plain,
c_uminus(c_union(X1,X2,X3),tc_set(X3)) = c_minus(c_uminus(X1,tc_set(X3)),X2,tc_set(X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_27]),c_0_30]) ).
cnf(c_0_37,negated_conjecture,
c_union(v_a,c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a),t_a) = c_uminus(v_u,tc_set(t_a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
c_minus(X1,c_uminus(c_minus(X2,X1,tc_set(X3)),tc_set(X3)),tc_set(X3)) = c_emptyset,
inference(rw,[status(thm)],[c_0_35,c_0_27]) ).
cnf(c_0_39,negated_conjecture,
c_minus(c_uminus(v_a,tc_set(t_a)),c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a),tc_set(t_a)) = v_u,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_30]) ).
cnf(c_0_40,plain,
( c_inter(X1,X4,X3) != c_emptyset
| ~ c_in(X4,c_Mutil_Otiling(X2,X3),tc_set(X3))
| ~ c_in(X1,X2,tc_set(X3))
| c_in(c_union(X1,X4,X3),c_Mutil_Otiling(X2,X3),tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Mutil_Otiling_OUn_0]) ).
cnf(c_0_41,negated_conjecture,
( ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_inter(v_t,v_u,t_a) != c_emptyset
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_42,negated_conjecture,
c_minus(c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a),c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_emptyset,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,axiom,
c_union(X1,X1,X2) = X1,
cls_Set_OUn__absorb_0 ).
cnf(c_0_44,negated_conjecture,
~ c_in(c_union(c_union(v_a,v_t,t_a),v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_45,plain,
( c_inter(X1,X4,X3) != c_emptyset
| ~ c_in(X4,c_Mutil_Otiling(X2,X3),tc_set(X3))
| ~ c_in(X1,X2,tc_set(X3))
| c_in(c_union(X1,X4,X3),c_Mutil_Otiling(X2,X3),tc_set(X3)) ),
c_0_40 ).
cnf(c_0_46,negated_conjecture,
( ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_inter(v_t,v_u,t_a) != c_emptyset
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
c_0_41 ).
cnf(c_0_47,negated_conjecture,
c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a) = c_uminus(v_u,tc_set(t_a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_42]),c_0_33]),c_0_34]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
~ c_in(c_union(c_union(v_a,v_t,t_a),v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
c_0_44 ).
cnf(c_0_49,plain,
( ~ c_in(X4,c_Mutil_Otiling(X2,X3),tc_set(X3))
| ~ c_in(X1,X2,tc_set(X3))
| c_Relation_OImage(c_Relation_Odiag(X1,X3),X4,X3,X3) != c_emptyset
| c_in(c_union(X1,X4,X3),c_Mutil_Otiling(X2,X3),tc_set(X3)) ),
inference(rw,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_50,negated_conjecture,
( ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_u,t_a,t_a) != c_emptyset
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(rw,[status(thm)],[c_0_46,c_0_23]) ).
cnf(c_0_51,negated_conjecture,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
cls_conjecture_3 ).
cnf(c_0_52,negated_conjecture,
c_minus(c_uminus(v_t,tc_set(t_a)),c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = v_u,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_30]) ).
cnf(c_0_53,axiom,
c_uminus(c_minus(X1,X2,tc_set(X3)),tc_set(X3)) = c_union(c_uminus(X1,tc_set(X3)),X2,X3),
cls_Set_OCompl__Diff__eq_0 ).
cnf(c_0_54,plain,
( ~ c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OInt__subset__iff_2]) ).
cnf(c_0_55,negated_conjecture,
~ c_in(c_union(v_a,c_union(v_t,v_u,t_a),t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(rw,[status(thm)],[c_0_48,c_0_34]) ).
cnf(c_0_56,plain,
( ~ c_in(X1,X4,tc_set(X3))
| ~ c_in(X2,c_Mutil_Otiling(X4,X3),tc_set(X3))
| c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)) != c_emptyset
| c_in(c_union(X1,X2,X3),c_Mutil_Otiling(X4,X3),tc_set(X3)) ),
inference(rw,[status(thm)],[c_0_49,c_0_27]) ).
cnf(c_0_57,negated_conjecture,
c_in(v_a,v_A,tc_set(t_a)),
cls_conjecture_0 ).
cnf(c_0_58,plain,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_minus(X1,X2,tc_set(X3)) = c_emptyset ),
inference(fof_simplification,[status(thm)],[cls_Set_ODiff__eq__empty__iff_1]) ).
cnf(c_0_59,negated_conjecture,
( c_Relation_OImage(c_Relation_Odiag(v_t,t_a),v_u,t_a,t_a) != c_emptyset
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_60,negated_conjecture,
c_union(v_u,c_uminus(v_u,tc_set(t_a)),t_a) = c_uminus(c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)),tc_set(t_a)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_53]) ).
cnf(c_0_61,axiom,
c_minus(X1,X1,tc_set(X2)) = c_emptyset,
cls_Set_ODiff__cancel_0 ).
cnf(c_0_62,plain,
( ~ c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3)) ),
c_0_54 ).
cnf(c_0_63,plain,
( c_minus(X1,X2,tc_set(X3)) != c_emptyset
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_ODiff__eq__empty__iff_0]) ).
cnf(c_0_64,negated_conjecture,
c_inter(v_a,v_t,t_a) = c_emptyset,
cls_conjecture_2 ).
cnf(c_0_65,negated_conjecture,
( ~ c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| c_minus(v_a,c_minus(c_uminus(v_t,tc_set(t_a)),v_u,tc_set(t_a)),tc_set(t_a)) != c_emptyset ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_36]),c_0_57])]) ).
cnf(c_0_66,plain,
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_minus(X1,X2,tc_set(X3)) = c_emptyset ),
c_0_58 ).
cnf(c_0_67,negated_conjecture,
( c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) != c_emptyset
| c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
inference(rw,[status(thm)],[c_0_59,c_0_27]) ).
cnf(c_0_68,negated_conjecture,
c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)) = c_emptyset,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_60]),c_0_30]),c_0_61]) ).
cnf(c_0_69,plain,
( ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X1,X4,tc_set(X3))
| c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X4,X3),X2,X3,X3),tc_set(X3)) ),
inference(rw,[status(thm)],[c_0_62,c_0_23]) ).
cnf(c_0_70,plain,
( ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
| c_lessequals(X1,X4,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUn__subset__iff_0]) ).
cnf(c_0_71,plain,
( c_minus(X1,X2,tc_set(X3)) != c_emptyset
| c_lessequals(X1,X2,tc_set(X3)) ),
c_0_63 ).
cnf(c_0_72,negated_conjecture,
c_Relation_OImage(c_Relation_Odiag(v_a,t_a),v_t,t_a,t_a) = c_emptyset,
inference(rw,[status(thm)],[c_0_64,c_0_23]) ).
cnf(c_0_73,negated_conjecture,
( ~ c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))
| ~ c_lessequals(v_a,c_minus(c_uminus(v_t,tc_set(t_a)),v_u,tc_set(t_a)),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_75,plain,
( ~ c_lessequals(X1,X3,tc_set(X4))
| ~ c_lessequals(X1,X2,tc_set(X4))
| c_lessequals(X1,c_minus(X2,c_uminus(X3,tc_set(X4)),tc_set(X4)),tc_set(X4)) ),
inference(rw,[status(thm)],[c_0_69,c_0_27]) ).
cnf(c_0_76,plain,
( ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
| c_lessequals(X1,X4,tc_set(X3)) ),
c_0_70 ).
cnf(c_0_77,negated_conjecture,
c_lessequals(c_union(v_a,v_t,t_a),c_uminus(v_u,tc_set(t_a)),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_71,c_0_32]) ).
cnf(c_0_78,negated_conjecture,
c_minus(v_a,c_uminus(v_t,tc_set(t_a)),tc_set(t_a)) = c_emptyset,
inference(rw,[status(thm)],[c_0_72,c_0_27]) ).
cnf(c_0_79,negated_conjecture,
~ c_lessequals(v_a,c_minus(c_uminus(v_t,tc_set(t_a)),v_u,tc_set(t_a)),tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_80,plain,
( ~ c_lessequals(X1,X2,tc_set(X4))
| ~ c_lessequals(X1,c_uminus(X3,tc_set(X4)),tc_set(X4))
| c_lessequals(X1,c_minus(X2,X3,tc_set(X4)),tc_set(X4)) ),
inference(spm,[status(thm)],[c_0_75,c_0_30]) ).
cnf(c_0_81,negated_conjecture,
c_lessequals(v_a,c_uminus(v_u,tc_set(t_a)),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
c_lessequals(v_a,c_uminus(v_t,tc_set(t_a)),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_71,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ064-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n026.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 21 03:52:22 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 219.99/32.39 % Version: 3.5.1
% 219.99/32.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 219.99/32.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 219.99/32.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 219.99/32.39 % Starting new_bool_3 with 300s (1) cores
% 219.99/32.39 % Starting new_bool_1 with 300s (1) cores
% 219.99/32.39 % Starting sh5l with 300s (1) cores
% 219.99/32.39 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1302444 completed with status 0
% 219.99/32.39 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 219.99/32.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 219.99/32.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 219.99/32.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 219.99/32.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 219.99/32.39 % No SInE strategy applied
% 219.99/32.39 % Search class: FGHSM-SMLM33-DFFFFFNN
% 219.99/32.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 219.99/32.39 % Starting SubtermCWHack with 136s (1) cores
% 219.99/32.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 219.99/32.39 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 219.99/32.39 % Starting SAT001_CA_MinMin_p005000_rr with 136s (1) cores
% 219.99/32.39 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 219.99/32.39 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 1302454 completed with status 0
% 219.99/32.39 % Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 219.99/32.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 219.99/32.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 219.99/32.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 219.99/32.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 219.99/32.39 % No SInE strategy applied
% 219.99/32.39 % Search class: FGHSM-SMLM33-DFFFFFNN
% 219.99/32.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 219.99/32.39 % Starting SubtermCWHack with 136s (1) cores
% 219.99/32.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 219.99/32.39 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 219.99/32.39 % Starting SAT001_CA_MinMin_p005000_rr with 136s (1) cores
% 219.99/32.39 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 219.99/32.39 % Preprocessing time : 0.045 s
% 219.99/32.39 % Presaturation interreduction done
% 219.99/32.39
% 219.99/32.39 % Proof found!
% 219.99/32.39 % SZS status Unsatisfiable
% 219.99/32.39 % SZS output start CNFRefutation
% See solution above
% 219.99/32.39 % Parsed axioms : 2739
% 219.99/32.39 % Removed by relevancy pruning/SinE : 0
% 219.99/32.39 % Initial clauses : 2739
% 219.99/32.39 % Removed in clause preprocessing : 9
% 219.99/32.39 % Initial clauses in saturation : 2730
% 219.99/32.39 % Processed clauses : 81538
% 219.99/32.39 % ...of these trivial : 363
% 219.99/32.39 % ...subsumed : 63574
% 219.99/32.39 % ...remaining for further processing : 17601
% 219.99/32.39 % Other redundant clauses eliminated : 2728
% 219.99/32.39 % Clauses deleted for lack of memory : 0
% 219.99/32.39 % Backward-subsumed : 1566
% 219.99/32.39 % Backward-rewritten : 1388
% 219.99/32.39 % Generated clauses : 450503
% 219.99/32.39 % ...of the previous two non-redundant : 416472
% 219.99/32.39 % ...aggressively subsumed : 0
% 219.99/32.39 % Contextual simplify-reflections : 695
% 219.99/32.39 % Paramodulations : 447681
% 219.99/32.39 % Factorizations : 8
% 219.99/32.39 % NegExts : 0
% 219.99/32.39 % Equation resolutions : 2802
% 219.99/32.39 % Disequality decompositions : 0
% 219.99/32.39 % Total rewrite steps : 275821
% 219.99/32.39 % ...of those cached : 259478
% 219.99/32.39 % Propositional unsat checks : 3
% 219.99/32.39 % Propositional check models : 1
% 219.99/32.39 % Propositional check unsatisfiable : 0
% 219.99/32.39 % Propositional clauses : 0
% 219.99/32.39 % Propositional clauses after purity: 0
% 219.99/32.39 % Propositional unsat core size : 0
% 219.99/32.39 % Propositional preprocessing time : 0.000
% 219.99/32.39 % Propositional encoding time : 0.922
% 219.99/32.39 % Propositional solver time : 0.816
% 219.99/32.39 % Success case prop preproc time : 0.000
% 219.99/32.39 % Success case prop encoding time : 0.000
% 219.99/32.39 % Success case prop solver time : 0.000
% 219.99/32.39 % Current number of processed clauses : 12026
% 219.99/32.39 % Positive orientable unit clauses : 1095
% 219.99/32.39 % Positive unorientable unit clauses: 64
% 219.99/32.39 % Negative unit clauses : 1515
% 219.99/32.39 % Non-unit-clauses : 9352
% 219.99/32.39 % Current number of unprocessed clauses: 329707
% 219.99/32.39 % ...number of literals in the above : 1039567
% 219.99/32.39 % Current number of archived formulas : 0
% 219.99/32.39 % Current number of archived clauses : 5575
% 219.99/32.39 % Clause-clause subsumption calls (NU) : 21858447
% 219.99/32.39 % Rec. Clause-clause subsumption calls : 12946978
% 219.99/32.39 % Non-unit clause-clause subsumptions : 23767
% 219.99/32.39 % Unit Clause-clause subsumption calls : 872268
% 219.99/32.39 % Rewrite failures with RHS unbound : 334
% 219.99/32.39 % BW rewrite match attempts : 3631
% 219.99/32.39 % BW rewrite match successes : 900
% 219.99/32.39 % Condensation attempts : 0
% 219.99/32.39 % Condensation successes : 0
% 219.99/32.39 % Termbank termtop insertions : 11483384
% 219.99/32.39 % Search garbage collected termcells : 3977
% 219.99/32.39
% 219.99/32.39 % -------------------------------------------------
% 219.99/32.39 % User time : 30.625 s
% 219.99/32.39 % System time : 0.629 s
% 219.99/32.39 % Total time : 31.254 s
% 219.99/32.39 % Maximum resident set size: 8468 pages
% 219.99/32.39
% 219.99/32.39 % -------------------------------------------------
% 219.99/32.39 % User time : 153.471 s
% 219.99/32.39 % System time : 3.674 s
% 219.99/32.39 % Total time : 157.144 s
% 219.99/32.39 % Maximum resident set size: 6400 pages
% 219.99/32.39 % E exiting
%------------------------------------------------------------------------------