TSTP Solution File: LAT274-2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:15 EDT 2023
% Result : Unsatisfiable 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 15
% Syntax : Number of clauses : 71 ( 17 unt; 36 nHn; 49 RR)
% Number of literals : 192 ( 10 equ; 65 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 123 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( c_in(c_Pair(X3,X4,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)
| c_in(v_sko__4mk(X4,X1,v_r),X1,t_a)
| X1 = c_emptyset
| ~ c_lessequals(X1,X2,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
v_S != c_emptyset,
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_conjecture_3) ).
cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_conjecture_1) ).
cnf(cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0,axiom,
( c_in(X1,c_Tarski_Ointerval(X4,X5,X2,X3),X3)
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_conjecture_4) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2,axiom,
( c_in(c_Pair(X1,X4,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X4,X2,v_r),X2,t_a)
| X2 = c_emptyset
| ~ c_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,X3,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_conjecture_6) ).
cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1,axiom,
( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( c_in(c_Pair(X3,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,X1,t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,axiom,
( c_in(c_Pair(X4,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X2,X4,v_r),X2,t_a)
| X2 = c_emptyset
| ~ c_in(c_Pair(v_sko__4mk(X1,X2,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,X3,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3,axiom,
( c_in(c_Pair(X1,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| ~ c_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(X3,X2,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,X4,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.UiEOIoTnIX/E---3.1_1891.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3) ).
cnf(c_0_15,axiom,
( c_in(c_Pair(X3,X4,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)
| c_in(v_sko__4mk(X4,X1,v_r),X1,t_a)
| X1 = c_emptyset
| ~ c_lessequals(X1,X2,tc_set(t_a)) ),
cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0 ).
cnf(c_0_16,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
cls_conjecture_2 ).
cnf(c_0_17,negated_conjecture,
v_S != c_emptyset,
cls_conjecture_3 ).
cnf(c_0_18,axiom,
( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a) ),
cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0 ).
cnf(c_0_19,negated_conjecture,
c_in(v_b,v_A,t_a),
cls_conjecture_1 ).
cnf(c_0_20,axiom,
( c_in(X1,c_Tarski_Ointerval(X4,X5,X2,X3),X3)
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)) ),
cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0 ).
cnf(c_0_21,negated_conjecture,
( c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X2,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X2,v_r,v_b),X2,t_a)
| ~ c_Tarski_OisLub(X2,v_cl,X1,t_a) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
cls_conjecture_4 ).
cnf(c_0_24,axiom,
( c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0 ).
cnf(c_0_25,negated_conjecture,
( c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)
| c_in(v_sko__4mk(X2,v_S,v_r),v_S,t_a)
| c_in(X2,c_Tarski_Ointerval(v_r,X1,X3,t_a),t_a)
| ~ c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,axiom,
( c_in(c_Pair(X1,X4,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X4,X2,v_r),X2,t_a)
| X2 = c_emptyset
| ~ c_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,X3,tc_set(t_a)) ),
cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2 ).
cnf(c_0_28,negated_conjecture,
( c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X2,v_S,v_r),v_S,t_a)
| ~ c_in(c_Pair(X1,v_sko__4mj(v_S,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_16]),c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( c_in(c_Pair(v_a,v_sko__4mj(v_S,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
cls_conjecture_6 ).
cnf(c_0_33,negated_conjecture,
( c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_34,axiom,
( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1 ).
cnf(c_0_35,axiom,
( c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0 ).
cnf(c_0_36,negated_conjecture,
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(X1,c_Tarski_Ointerval(v_r,v_a,X2,t_a),t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)
| ~ c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X2,v_cl,X1,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X2,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_38,negated_conjecture,
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
inference(spm,[status(thm)],[c_0_35,c_0_16]) ).
cnf(c_0_39,negated_conjecture,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_37,c_0_23]) ).
cnf(c_0_41,negated_conjecture,
( c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_43,negated_conjecture,
( c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( c_in(c_Pair(v_a,v_sko__4mj(v_S,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_28,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_32]) ).
cnf(c_0_46,negated_conjecture,
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(X1,c_Tarski_Ointerval(v_r,v_a,X2,t_a),t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)
| ~ c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_45]) ).
cnf(c_0_47,axiom,
( c_in(c_Pair(X3,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,X1,t_a) ),
cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0 ).
cnf(c_0_48,negated_conjecture,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_42]),c_0_32]) ).
cnf(c_0_49,axiom,
( c_in(c_Pair(X4,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X2,X4,v_r),X2,t_a)
| X2 = c_emptyset
| ~ c_in(c_Pair(v_sko__4mk(X1,X2,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,X3,tc_set(t_a)) ),
cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1 ).
cnf(c_0_50,negated_conjecture,
( c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)
| ~ c_in(c_Pair(v_sko__4mk(X2,v_S,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_16]),c_0_17]) ).
cnf(c_0_52,negated_conjecture,
c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(spm,[status(thm)],[c_0_50,c_0_23]) ).
cnf(c_0_53,negated_conjecture,
( c_in(c_Pair(X1,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,negated_conjecture,
( c_in(v_L,c_Tarski_Ointerval(v_r,X1,X2,t_a),t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)
| ~ c_in(c_Pair(v_L,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_53]) ).
cnf(c_0_55,axiom,
( c_in(c_Pair(X1,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| ~ c_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(X3,X2,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,X4,tc_set(t_a)) ),
cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3 ).
cnf(c_0_56,negated_conjecture,
( c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_57,negated_conjecture,
( c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X1,v_sko__4mj(v_S,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(X2,v_S,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_16]),c_0_17]) ).
cnf(c_0_58,negated_conjecture,
( c_in(c_Pair(v_a,v_sko__4mj(v_S,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_28,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_in(c_Pair(v_sko__4mk(X1,v_S,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_32]) ).
cnf(c_0_60,negated_conjecture,
( c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_59,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_in(c_Pair(v_L,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_60]) ).
cnf(c_0_62,negated_conjecture,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_26]),c_0_32]) ).
cnf(c_0_63,negated_conjecture,
c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(spm,[status(thm)],[c_0_38,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_63])]) ).
cnf(c_0_65,negated_conjecture,
( c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(spm,[status(thm)],[c_0_54,c_0_64]) ).
cnf(c_0_66,negated_conjecture,
( c_in(c_Pair(v_a,v_sko__4mj(v_S,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_28,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(X1,v_S,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_66]),c_0_32]) ).
cnf(c_0_68,negated_conjecture,
c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(spm,[status(thm)],[c_0_67,c_0_52]) ).
cnf(c_0_69,negated_conjecture,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a)
| ~ c_in(c_Pair(v_L,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_64]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 11:05:29 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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.UiEOIoTnIX/E---3.1_1891.p
% 0.17/0.46 # Version: 3.1pre001
% 0.17/0.46 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1971 completed with status 0
% 0.17/0.46 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.46 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.46 # No SInE strategy applied
% 0.17/0.46 # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.46 # Starting new_bool_3 with 136s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 136s (1) cores
% 0.17/0.46 # Starting sh5l with 136s (1) cores
% 0.17/0.46 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1976 completed with status 0
% 0.17/0.46 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.46 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.46 # No SInE strategy applied
% 0.17/0.46 # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.17/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.46 # Preprocessing time : 0.001 s
% 0.17/0.46 # Presaturation interreduction done
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Unsatisfiable
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.46 # Parsed axioms : 15
% 0.17/0.46 # Removed by relevancy pruning/SinE : 0
% 0.17/0.46 # Initial clauses : 15
% 0.17/0.46 # Removed in clause preprocessing : 0
% 0.17/0.46 # Initial clauses in saturation : 15
% 0.17/0.46 # Processed clauses : 208
% 0.17/0.46 # ...of these trivial : 2
% 0.17/0.46 # ...subsumed : 14
% 0.17/0.46 # ...remaining for further processing : 192
% 0.17/0.46 # Other redundant clauses eliminated : 0
% 0.17/0.46 # Clauses deleted for lack of memory : 0
% 0.17/0.46 # Backward-subsumed : 23
% 0.17/0.46 # Backward-rewritten : 43
% 0.17/0.46 # Generated clauses : 352
% 0.17/0.46 # ...of the previous two non-redundant : 349
% 0.17/0.46 # ...aggressively subsumed : 0
% 0.17/0.46 # Contextual simplify-reflections : 0
% 0.17/0.46 # Paramodulations : 346
% 0.17/0.46 # Factorizations : 6
% 0.17/0.46 # NegExts : 0
% 0.17/0.46 # Equation resolutions : 0
% 0.17/0.46 # Total rewrite steps : 48
% 0.17/0.46 # Propositional unsat checks : 0
% 0.17/0.46 # Propositional check models : 0
% 0.17/0.46 # Propositional check unsatisfiable : 0
% 0.17/0.46 # Propositional clauses : 0
% 0.17/0.46 # Propositional clauses after purity: 0
% 0.17/0.46 # Propositional unsat core size : 0
% 0.17/0.46 # Propositional preprocessing time : 0.000
% 0.17/0.46 # Propositional encoding time : 0.000
% 0.17/0.46 # Propositional solver time : 0.000
% 0.17/0.46 # Success case prop preproc time : 0.000
% 0.17/0.46 # Success case prop encoding time : 0.000
% 0.17/0.46 # Success case prop solver time : 0.000
% 0.17/0.46 # Current number of processed clauses : 111
% 0.17/0.46 # Positive orientable unit clauses : 19
% 0.17/0.46 # Positive unorientable unit clauses: 0
% 0.17/0.46 # Negative unit clauses : 2
% 0.17/0.46 # Non-unit-clauses : 90
% 0.17/0.46 # Current number of unprocessed clauses: 130
% 0.17/0.46 # ...number of literals in the above : 531
% 0.17/0.46 # Current number of archived formulas : 0
% 0.17/0.46 # Current number of archived clauses : 81
% 0.17/0.46 # Clause-clause subsumption calls (NU) : 5478
% 0.17/0.46 # Rec. Clause-clause subsumption calls : 2073
% 0.17/0.46 # Non-unit clause-clause subsumptions : 28
% 0.17/0.46 # Unit Clause-clause subsumption calls : 623
% 0.17/0.46 # Rewrite failures with RHS unbound : 0
% 0.17/0.46 # BW rewrite match attempts : 17
% 0.17/0.46 # BW rewrite match successes : 7
% 0.17/0.46 # Condensation attempts : 0
% 0.17/0.46 # Condensation successes : 0
% 0.17/0.46 # Termbank termtop insertions : 12537
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.022 s
% 0.17/0.46 # System time : 0.002 s
% 0.17/0.46 # Total time : 0.023 s
% 0.17/0.46 # Maximum resident set size: 1644 pages
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.106 s
% 0.17/0.46 # System time : 0.008 s
% 0.17/0.46 # Total time : 0.115 s
% 0.17/0.46 # Maximum resident set size: 1696 pages
% 0.17/0.46 % E---3.1 exiting
% 0.17/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------