%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET831-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Thu Sep 24 02:18:39 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of clauses : 84 ( 21 unt; 29 nHn; 62 RR)
% Number of literals : 190 ( 34 equ; 83 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 140 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OIntE_1,axiom,
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OIntE_0,axiom,
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_lessequals(X1,v_Y,tc_set(t_a))
| ~ c_lessequals(X1,v_Z,tc_set(t_a))
| c_lessequals(X1,v_X,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Set_OIntI_0,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| c_in(X1,c_inter(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_4,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_0_13,plain,
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X2,X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_OIntE_1]) ).
cnf(c_0_14,plain,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetD_0]) ).
cnf(c_0_15,plain,
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_OIntE_0]) ).
cnf(c_0_16,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).
cnf(c_0_17,plain,
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X2,X4) ),
c_0_13 ).
cnf(c_0_18,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_19,negated_conjecture,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
cls_conjecture_0 ).
cnf(c_0_20,plain,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
c_0_14 ).
cnf(c_0_21,plain,
( ~ c_in(X1,c_inter(X2,X3,X4),X4)
| c_in(X1,X3,X4) ),
c_0_15 ).
cnf(c_0_22,negated_conjecture,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
cls_conjecture_1 ).
cnf(c_0_23,negated_conjecture,
( ~ c_lessequals(X1,v_Y,tc_set(t_a))
| ~ c_lessequals(X1,v_Z,tc_set(t_a))
| c_lessequals(X1,v_X,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_24,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
c_0_16 ).
cnf(c_0_25,plain,
( c_lessequals(c_inter(X1,X2,X3),X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),X4,X3),X1,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,plain,
( ~ c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| c_in(X1,c_inter(X4,X2,X3),X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OIntI_0]) ).
cnf(c_0_27,negated_conjecture,
( ~ c_in(X1,v_X,t_a)
| c_lessequals(v_X,v_Y,tc_set(t_a))
| c_in(X1,v_Y,t_a) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_28,plain,
( ~ c_lessequals(X1,X4,tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X4,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_29,negated_conjecture,
( ~ c_in(X1,v_X,t_a)
| c_lessequals(v_X,v_Z,tc_set(t_a))
| c_in(X1,v_Z,t_a) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( ~ c_lessequals(X1,v_Y,tc_set(t_a))
| ~ c_lessequals(X1,v_Z,tc_set(t_a))
| c_lessequals(X1,v_X,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
c_0_23 ).
cnf(c_0_31,plain,
c_lessequals(c_inter(X1,X2,X3),X1,tc_set(X3)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
( c_lessequals(c_inter(X1,X2,X3),X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),X4,X3),X2,X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_33,plain,
( ~ c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| c_in(X1,c_inter(X4,X2,X3),X3) ),
c_0_26 ).
cnf(c_0_34,negated_conjecture,
( c_lessequals(v_X,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X1,t_a),v_Y,t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_18]),c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_36,negated_conjecture,
( c_lessequals(v_X,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X1,t_a),v_Z,t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_28]) ).
cnf(c_0_37,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).
cnf(c_0_38,negated_conjecture,
( ~ c_lessequals(c_inter(v_Y,X1,t_a),v_Z,tc_set(t_a))
| c_lessequals(c_inter(v_Y,X1,t_a),v_X,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
c_lessequals(c_inter(X1,X2,X3),X2,tc_set(X3)),
inference(spm,[status(thm)],[c_0_24,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(v_X,X1,t_a),X2,t_a)
| c_lessequals(v_X,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X1,t_a),c_inter(v_Y,X2,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_42,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
c_0_35 ).
cnf(c_0_43,negated_conjecture,
c_lessequals(v_X,v_Z,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_24,c_0_36]) ).
cnf(c_0_44,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
c_0_37 ).
cnf(c_0_45,negated_conjecture,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( c_lessequals(v_X,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,X1,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_40,c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
c_0_41 ).
cnf(c_0_48,negated_conjecture,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) != v_X
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_49,negated_conjecture,
c_lessequals(v_X,v_Y,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
cnf(c_0_50,negated_conjecture,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_24,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) != v_X
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_43])]) ).
cnf(c_0_53,negated_conjecture,
( c_inter(v_Y,v_Z,t_a) != v_X
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_54,negated_conjecture,
c_inter(v_Y,v_Z,t_a) = v_X,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_55,negated_conjecture,
( c_inter(v_Y,v_Z,t_a) != v_X
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_49])]) ).
cnf(c_0_56,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),X4,X3),X5,X3)
| c_lessequals(c_inter(X1,X2,X3),X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),X4,X3),c_inter(X2,X5,X3),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_57,negated_conjecture,
c_lessequals(v_x,v_Z,tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_58,negated_conjecture,
c_lessequals(v_x,v_Y,tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_54])]) ).
cnf(c_0_59,plain,
( c_lessequals(c_inter(c_inter(X1,X2,X3),X4,X3),X5,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_inter(c_inter(X1,X2,X3),X4,X3),X5,X3),X2,X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_60,plain,
( c_lessequals(c_inter(X1,X2,X3),X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),X4,X3),c_inter(X2,X1,X3),X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_25]) ).
cnf(c_0_61,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X4,X3)
| c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),c_inter(X1,X4,X3),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_18]) ).
cnf(c_0_62,negated_conjecture,
( c_lessequals(v_x,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,X1,t_a),v_Z,t_a) ),
inference(spm,[status(thm)],[c_0_28,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( c_lessequals(v_x,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,X1,t_a),v_Y,t_a) ),
inference(spm,[status(thm)],[c_0_28,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_65,plain,
( c_lessequals(c_inter(c_inter(X1,X2,X3),X4,X3),X5,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_inter(c_inter(X1,X2,X3),X4,X3),X5,X3),c_inter(X4,X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_59]) ).
cnf(c_0_66,plain,
c_lessequals(c_inter(X1,X2,X3),c_inter(X2,X1,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_24,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( c_lessequals(v_x,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,X1,t_a),c_inter(v_x,v_Z,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( c_lessequals(v_x,X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,X1,t_a),c_inter(v_x,v_Y,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
c_0_64 ).
cnf(c_0_70,plain,
c_lessequals(c_inter(c_inter(X1,X2,X3),X4,X3),c_inter(X4,X2,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_24,c_0_65]) ).
cnf(c_0_71,plain,
c_inter(X1,X2,X3) = c_inter(X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_66]),c_0_66])]) ).
cnf(c_0_72,negated_conjecture,
c_lessequals(v_x,c_inter(v_x,v_Z,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_24,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
c_lessequals(v_x,c_inter(v_x,v_Y,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_24,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) != v_X ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_43])]) ).
cnf(c_0_75,negated_conjecture,
c_lessequals(c_inter(v_Y,c_inter(X1,v_Z,t_a),t_a),v_X,tc_set(t_a)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_54]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
c_inter(v_x,v_Z,t_a) = v_x,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_72]),c_0_31])]) ).
cnf(c_0_77,negated_conjecture,
c_inter(v_x,v_Y,t_a) = v_x,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_73]),c_0_31])]) ).
cnf(c_0_78,negated_conjecture,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) != v_X ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_49])]) ).
cnf(c_0_79,negated_conjecture,
c_lessequals(c_inter(v_Y,c_inter(v_Z,X1,t_a),t_a),v_X,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_75,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
c_inter(v_Z,v_x,t_a) = v_x,
inference(rw,[status(thm)],[c_0_76,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
c_inter(v_Y,v_x,t_a) = v_x,
inference(rw,[status(thm)],[c_0_77,c_0_71]) ).
cnf(c_0_82,negated_conjecture,
~ c_lessequals(v_x,v_X,tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_54])]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(sr,[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
% 0.00/0.02 % Problem : SET831-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 05:38:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/0.47 % Version: 3.5.1
% 0.14/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.47 % Starting sh5l with 300s (1) cores
% 0.14/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 287489 completed with status 0
% 0.14/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.47 % No SInE strategy applied
% 0.14/0.47 % Search class: FGHSF-FFSF32-SFFFFFNN
% 0.14/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.14/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.47 % new_bool_1 with pid 287497 completed with status 0
% 0.14/0.47 % Result found by new_bool_1
% 0.14/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.47 % No SInE strategy applied
% 0.14/0.47 % Search class: FGHSF-FFSF32-SFFFFFNN
% 0.14/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.14/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.47 % Preprocessing time : 0.001 s
% 0.14/0.47 % Presaturation interreduction done
% 0.14/0.47
% 0.14/0.47 % Proof found!
% 0.14/0.47 % SZS status Unsatisfiable
% 0.14/0.47 % SZS output start CNFRefutation
% See solution above
% 0.14/0.47 % Parsed axioms : 13
% 0.14/0.47 % Removed by relevancy pruning/SinE : 0
% 0.14/0.47 % Initial clauses : 13
% 0.14/0.47 % Removed in clause preprocessing : 0
% 0.14/0.47 % Initial clauses in saturation : 13
% 0.14/0.47 % Processed clauses : 1245
% 0.14/0.47 % ...of these trivial : 28
% 0.14/0.47 % ...subsumed : 919
% 0.14/0.47 % ...remaining for further processing : 298
% 0.14/0.47 % Other redundant clauses eliminated : 0
% 0.14/0.47 % Clauses deleted for lack of memory : 0
% 0.14/0.47 % Backward-subsumed : 0
% 0.14/0.47 % Backward-rewritten : 115
% 0.14/0.47 % Generated clauses : 4381
% 0.14/0.47 % ...of the previous two non-redundant : 3179
% 0.14/0.47 % ...aggressively subsumed : 0
% 0.14/0.47 % Contextual simplify-reflections : 2
% 0.14/0.47 % Paramodulations : 4381
% 0.14/0.47 % Factorizations : 0
% 0.14/0.47 % NegExts : 0
% 0.14/0.47 % Equation resolutions : 0
% 0.14/0.47 % Disequality decompositions : 0
% 0.14/0.47 % Total rewrite steps : 1969
% 0.14/0.47 % ...of those cached : 1642
% 0.14/0.47 % Propositional unsat checks : 0
% 0.14/0.47 % Propositional check models : 0
% 0.14/0.47 % Propositional check unsatisfiable : 0
% 0.14/0.47 % Propositional clauses : 0
% 0.14/0.47 % Propositional clauses after purity: 0
% 0.14/0.47 % Propositional unsat core size : 0
% 0.14/0.47 % Propositional preprocessing time : 0.000
% 0.14/0.47 % Propositional encoding time : 0.000
% 0.14/0.47 % Propositional solver time : 0.000
% 0.14/0.47 % Success case prop preproc time : 0.000
% 0.14/0.47 % Success case prop encoding time : 0.000
% 0.14/0.47 % Success case prop solver time : 0.000
% 0.14/0.47 % Current number of processed clauses : 170
% 0.14/0.47 % Positive orientable unit clauses : 65
% 0.14/0.47 % Positive unorientable unit clauses: 1
% 0.14/0.47 % Negative unit clauses : 1
% 0.14/0.47 % Non-unit-clauses : 103
% 0.14/0.47 % Current number of unprocessed clauses: 1757
% 0.14/0.47 % ...number of literals in the above : 3772
% 0.14/0.47 % Current number of archived formulas : 0
% 0.14/0.47 % Current number of archived clauses : 128
% 0.14/0.47 % Clause-clause subsumption calls (NU) : 15440
% 0.14/0.47 % Rec. Clause-clause subsumption calls : 11323
% 0.14/0.47 % Non-unit clause-clause subsumptions : 921
% 0.14/0.47 % Unit Clause-clause subsumption calls : 1858
% 0.14/0.47 % Rewrite failures with RHS unbound : 0
% 0.14/0.47 % BW rewrite match attempts : 467
% 0.14/0.47 % BW rewrite match successes : 155
% 0.14/0.47 % Condensation attempts : 0
% 0.14/0.47 % Condensation successes : 0
% 0.14/0.47 % Termbank termtop insertions : 65697
% 0.14/0.47 % Search garbage collected termcells : 41
% 0.14/0.47
% 0.14/0.47 % -------------------------------------------------
% 0.14/0.47 % User time : 0.040 s
% 0.14/0.47 % System time : 0.006 s
% 0.14/0.47 % Total time : 0.046 s
% 0.14/0.47 % Maximum resident set size: 3584 pages
% 0.14/0.47
% 0.14/0.47 % -------------------------------------------------
% 0.14/0.47 % User time : 0.205 s
% 0.14/0.47 % System time : 0.025 s
% 0.14/0.47 % Total time : 0.230 s
% 0.14/0.47 % Maximum resident set size: 4864 pages
% 0.14/0.47 % E exiting
%------------------------------------------------------------------------------