TSTP Solution File: SET831-2 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET831-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:20:51 EDT 2024
% Result : Unsatisfiable 0.15s 0.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of clauses : 87 ( 20 unt; 21 nHn; 72 RR)
% Number of literals : 196 ( 33 equ; 92 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 : 129 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OIntE_0,axiom,
( c_in(X1,X3,X4)
| ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_Set_OIntE_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(v_X,v_Z,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_conjecture_1) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OIntE_1,axiom,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_Set_OIntE_1) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_Set_OsubsetD_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(v_X,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_conjecture_0) ).
cnf(cls_Set_OIntI_0,axiom,
( c_in(X1,c_inter(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_Set_OIntI_0) ).
cnf(cls_conjecture_5,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(X1,v_X,tc_set(t_a))
| ~ c_lessequals(X1,v_Z,tc_set(t_a))
| ~ c_lessequals(X1,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_conjecture_5) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_conjecture_3) ).
cnf(cls_conjecture_2,negated_conjecture,
( 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))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_conjecture_2) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.sZonG0zxUs/E---3.1_13664.p',cls_conjecture_4) ).
cnf(c_0_13,plain,
( c_in(X1,X3,X4)
| ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_OIntE_0]) ).
cnf(c_0_14,plain,
( c_in(X1,X3,X4)
| ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
c_0_13 ).
cnf(c_0_15,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(v_X,v_Z,tc_set(t_a)) ),
cls_conjecture_1 ).
cnf(c_0_16,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).
cnf(c_0_17,negated_conjecture,
( c_in(X1,v_Z,t_a)
| c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_in(X1,v_X,t_a) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_19,plain,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_OIntE_1]) ).
cnf(c_0_20,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetD_0]) ).
cnf(c_0_21,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
( c_in(c_Main_OsubsetI__1(v_X,X1,t_a),v_Z,t_a)
| c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_X,X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
c_0_19 ).
cnf(c_0_24,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(v_X,v_Y,tc_set(t_a)) ),
cls_conjecture_0 ).
cnf(c_0_25,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
c_0_20 ).
cnf(c_0_26,negated_conjecture,
c_lessequals(v_X,v_Z,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( c_in(X1,c_inter(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OIntI_0]) ).
cnf(c_0_28,negated_conjecture,
( c_in(X1,v_Y,t_a)
| c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_in(X1,v_X,t_a) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( c_in(X1,v_Z,t_a)
| ~ c_in(X1,v_X,t_a) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( c_in(X1,c_inter(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
c_0_27 ).
cnf(c_0_31,negated_conjecture,
( c_in(c_Main_OsubsetI__1(v_X,X1,t_a),v_Y,t_a)
| c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_X,X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_32,negated_conjecture,
( c_lessequals(X1,v_Z,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_Z,t_a),v_X,t_a) ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_33,plain,
( c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),X4,X3),X1,X3)
| c_lessequals(c_inter(X1,X2,X3),X4,tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_34,plain,
( c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X1,c_inter(X2,X3,X4),X4),X2,X4)
| ~ c_in(c_Main_OsubsetI__1(X1,c_inter(X2,X3,X4),X4),X3,X4) ),
inference(spm,[status(thm)],[c_0_21,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
c_lessequals(v_X,v_Y,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_21,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(X1,v_X,tc_set(t_a))
| ~ c_lessequals(X1,v_Z,tc_set(t_a))
| ~ c_lessequals(X1,v_Y,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_37,negated_conjecture,
c_lessequals(c_inter(v_X,X1,t_a),v_Z,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).
cnf(c_0_39,plain,
( c_lessequals(X1,c_inter(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,c_inter(X1,X2,X3),X3),X2,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_18]) ).
cnf(c_0_40,negated_conjecture,
( c_in(X1,v_Y,t_a)
| ~ c_in(X1,v_X,t_a) ),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(X1,v_X,tc_set(t_a))
| ~ c_lessequals(X1,v_Z,tc_set(t_a))
| ~ c_lessequals(X1,v_Y,tc_set(t_a)) ),
c_0_36 ).
cnf(c_0_42,plain,
c_lessequals(c_inter(X1,X2,X3),X1,tc_set(X3)),
inference(spm,[status(thm)],[c_0_21,c_0_33]) ).
cnf(c_0_43,plain,
( c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),X4,X3),X2,X3)
| c_lessequals(c_inter(X1,X2,X3),X4,tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_44,negated_conjecture,
( c_in(X1,v_Z,t_a)
| ~ c_in(X1,c_inter(v_X,X2,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_45,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
c_0_38 ).
cnf(c_0_46,negated_conjecture,
( c_lessequals(X1,c_inter(X1,v_Y,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,c_inter(X1,v_Y,t_a),t_a),v_X,t_a) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_48,negated_conjecture,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(c_inter(v_Y,X1,t_a),v_X,tc_set(t_a))
| ~ c_lessequals(c_inter(v_Y,X1,t_a),v_Z,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
c_lessequals(c_inter(X1,X2,X3),X2,tc_set(X3)),
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_50,plain,
( c_lessequals(c_inter(X1,X2,X3),c_inter(X2,X4,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(c_inter(X1,X2,X3),c_inter(X2,X4,X3),X3),X4,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_inter(v_X,X1,t_a),X2,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_X,X1,t_a),X2,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_44,c_0_18]) ).
cnf(c_0_52,plain,
( c_inter(X1,X2,X3) = X1
| ~ c_lessequals(X1,c_inter(X1,X2,X3),tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_53,negated_conjecture,
c_lessequals(v_X,c_inter(v_X,v_Y,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_46,c_0_18]) ).
cnf(c_0_54,negated_conjecture,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
c_0_47 ).
cnf(c_0_55,negated_conjecture,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
c_lessequals(c_inter(v_X,X1,t_a),c_inter(X1,v_Z,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
c_inter(v_X,v_Y,t_a) = v_X,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( 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))
| v_X != c_inter(v_Y,v_Z,t_a) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_59,negated_conjecture,
( c_lessequals(v_x,v_Z,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_54,c_0_26])]) ).
cnf(c_0_60,negated_conjecture,
( c_inter(v_Y,v_Z,t_a) = v_X
| ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_45,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( 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))
| v_X != c_inter(v_Y,v_Z,t_a) ),
c_0_58 ).
cnf(c_0_63,negated_conjecture,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) != v_X ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_35])]) ).
cnf(c_0_64,negated_conjecture,
c_inter(v_Y,v_Z,t_a) = v_X,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_65,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_62,c_0_26])]) ).
cnf(c_0_66,negated_conjecture,
c_lessequals(v_x,v_Z,tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_67,negated_conjecture,
( 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_65,c_0_35])]) ).
cnf(c_0_68,negated_conjecture,
( c_in(X1,v_Z,t_a)
| ~ c_in(X1,v_x,t_a) ),
inference(spm,[status(thm)],[c_0_25,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
c_lessequals(v_x,v_Y,tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_64])]) ).
cnf(c_0_70,negated_conjecture,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_71,negated_conjecture,
( c_in(c_Main_OsubsetI__1(v_x,X1,t_a),v_Z,t_a)
| c_lessequals(v_x,X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_68,c_0_18]) ).
cnf(c_0_72,negated_conjecture,
( c_in(X1,v_Y,t_a)
| ~ c_in(X1,v_x,t_a) ),
inference(spm,[status(thm)],[c_0_25,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
c_0_70 ).
cnf(c_0_74,negated_conjecture,
( c_lessequals(c_inter(X1,v_Y,t_a),v_X,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_inter(X1,v_Y,t_a),v_X,t_a),v_Z,t_a) ),
inference(spm,[status(thm)],[c_0_50,c_0_64]) ).
cnf(c_0_75,plain,
( c_in(c_Main_OsubsetI__1(c_inter(c_inter(X1,X2,X3),X4,X3),X5,X3),X2,X3)
| c_lessequals(c_inter(c_inter(X1,X2,X3),X4,X3),X5,tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_33]) ).
cnf(c_0_76,negated_conjecture,
c_lessequals(v_x,c_inter(v_x,v_Z,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_39,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( c_in(c_Main_OsubsetI__1(v_x,X1,t_a),v_Y,t_a)
| c_lessequals(v_x,X1,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_72,c_0_18]) ).
cnf(c_0_78,negated_conjecture,
( c_inter(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_26])]) ).
cnf(c_0_79,negated_conjecture,
c_lessequals(c_inter(c_inter(X1,v_Z,t_a),v_Y,t_a),v_X,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,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_45,c_0_76]),c_0_42])]) ).
cnf(c_0_81,negated_conjecture,
c_lessequals(v_x,c_inter(v_x,v_Y,t_a),tc_set(t_a)),
inference(spm,[status(thm)],[c_0_39,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( c_inter(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_35])]) ).
cnf(c_0_83,negated_conjecture,
c_lessequals(c_inter(v_x,v_Y,t_a),v_X,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,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_45,c_0_81]),c_0_42])]) ).
cnf(c_0_85,negated_conjecture,
~ c_lessequals(v_x,v_X,tc_set(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_64])]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SET831-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n003.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 10:28:50 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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/tmp/tmp.sZonG0zxUs/E---3.1_13664.p
% 0.15/0.47 # Version: 3.1.0
% 0.15/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47 # Starting sh5l with 300s (1) cores
% 0.15/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13742 completed with status 0
% 0.15/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.47 # No SInE strategy applied
% 0.15/0.47 # Search class: FGHSF-FFSF32-SFFFFFNN
% 0.15/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.47 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.47 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.47 # Starting sh5l with 136s (1) cores
% 0.15/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13749 completed with status 0
% 0.15/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.47 # No SInE strategy applied
% 0.15/0.47 # Search class: FGHSF-FFSF32-SFFFFFNN
% 0.15/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.47 # Preprocessing time : 0.001 s
% 0.15/0.47 # Presaturation interreduction done
% 0.15/0.47
% 0.15/0.47 # Proof found!
% 0.15/0.47 # SZS status Unsatisfiable
% 0.15/0.47 # SZS output start CNFRefutation
% See solution above
% 0.15/0.47 # Parsed axioms : 13
% 0.15/0.47 # Removed by relevancy pruning/SinE : 0
% 0.15/0.47 # Initial clauses : 13
% 0.15/0.47 # Removed in clause preprocessing : 0
% 0.15/0.47 # Initial clauses in saturation : 13
% 0.15/0.47 # Processed clauses : 707
% 0.15/0.47 # ...of these trivial : 11
% 0.15/0.47 # ...subsumed : 432
% 0.15/0.47 # ...remaining for further processing : 264
% 0.15/0.47 # Other redundant clauses eliminated : 0
% 0.15/0.47 # Clauses deleted for lack of memory : 0
% 0.15/0.47 # Backward-subsumed : 10
% 0.15/0.47 # Backward-rewritten : 81
% 0.15/0.47 # Generated clauses : 3125
% 0.15/0.47 # ...of the previous two non-redundant : 2200
% 0.15/0.47 # ...aggressively subsumed : 0
% 0.15/0.47 # Contextual simplify-reflections : 2
% 0.15/0.47 # Paramodulations : 3125
% 0.15/0.47 # Factorizations : 0
% 0.15/0.47 # NegExts : 0
% 0.15/0.47 # Equation resolutions : 0
% 0.15/0.47 # Disequality decompositions : 0
% 0.15/0.47 # Total rewrite steps : 1683
% 0.15/0.47 # ...of those cached : 1527
% 0.15/0.47 # Propositional unsat checks : 0
% 0.15/0.47 # Propositional check models : 0
% 0.15/0.47 # Propositional check unsatisfiable : 0
% 0.15/0.47 # Propositional clauses : 0
% 0.15/0.47 # Propositional clauses after purity: 0
% 0.15/0.47 # Propositional unsat core size : 0
% 0.15/0.47 # Propositional preprocessing time : 0.000
% 0.15/0.47 # Propositional encoding time : 0.000
% 0.15/0.47 # Propositional solver time : 0.000
% 0.15/0.47 # Success case prop preproc time : 0.000
% 0.15/0.47 # Success case prop encoding time : 0.000
% 0.15/0.47 # Success case prop solver time : 0.000
% 0.15/0.47 # Current number of processed clauses : 160
% 0.15/0.47 # Positive orientable unit clauses : 49
% 0.15/0.47 # Positive unorientable unit clauses: 0
% 0.15/0.47 # Negative unit clauses : 1
% 0.15/0.47 # Non-unit-clauses : 110
% 0.15/0.47 # Current number of unprocessed clauses: 1340
% 0.15/0.47 # ...number of literals in the above : 3308
% 0.15/0.47 # Current number of archived formulas : 0
% 0.15/0.47 # Current number of archived clauses : 104
% 0.15/0.47 # Clause-clause subsumption calls (NU) : 5090
% 0.15/0.47 # Rec. Clause-clause subsumption calls : 4361
% 0.15/0.47 # Non-unit clause-clause subsumptions : 438
% 0.15/0.47 # Unit Clause-clause subsumption calls : 830
% 0.15/0.47 # Rewrite failures with RHS unbound : 0
% 0.15/0.47 # BW rewrite match attempts : 119
% 0.15/0.47 # BW rewrite match successes : 29
% 0.15/0.47 # Condensation attempts : 0
% 0.15/0.47 # Condensation successes : 0
% 0.15/0.47 # Termbank termtop insertions : 60910
% 0.15/0.47 # Search garbage collected termcells : 41
% 0.15/0.47
% 0.15/0.47 # -------------------------------------------------
% 0.15/0.47 # User time : 0.040 s
% 0.15/0.47 # System time : 0.007 s
% 0.15/0.47 # Total time : 0.046 s
% 0.15/0.47 # Maximum resident set size: 1636 pages
% 0.15/0.47
% 0.15/0.47 # -------------------------------------------------
% 0.15/0.47 # User time : 0.218 s
% 0.15/0.47 # System time : 0.011 s
% 0.15/0.47 # Total time : 0.229 s
% 0.15/0.47 # Maximum resident set size: 1700 pages
% 0.15/0.47 % E---3.1 exiting
% 0.15/0.47 % E exiting
%------------------------------------------------------------------------------