%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT274-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:05:56 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.49s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of clauses : 66 ( 15 unt; 29 nHn; 51 RR)
% Number of literals : 200 ( 19 equ; 94 neg)
% Maximal clause size : 5 ( 3 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 : 158 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
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_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_lessequals(X2,X3,tc_set(t_a))
| ~ c_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(v_sko__4mk(X4,X2,v_r),X2,t_a)
| c_in(c_Pair(X1,X4,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_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/benchmark/theBenchmark.p',cls_conjecture_2) ).
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_lessequals(X1,X2,tc_set(t_a))
| X1 = c_emptyset
| c_in(v_sko__4mk(X4,X1,v_r),X1,t_a)
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)
| c_in(c_Pair(X3,X4,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_3,negated_conjecture,
v_S != c_emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
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_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_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(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| c_in(X1,c_Tarski_Ointerval(X4,X5,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_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(X3,v_A,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_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(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X3,v_A,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_conjecture_4,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
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/benchmark/theBenchmark.p',cls_conjecture_6) ).
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(X3,X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(c_Pair(X3,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_lessequals(X2,X3,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(X1,X2,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(v_sko__4mj(X2,X4,v_r),X2,t_a)
| c_in(c_Pair(X4,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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_lessequals(X2,X4,tc_set(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_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(c_Pair(X1,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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,plain,
( ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)) ),
inference(fof_simplification,[status(thm)],[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_16,plain,
( ~ c_lessequals(X2,X3,tc_set(t_a))
| ~ c_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(v_sko__4mk(X4,X2,v_r),X2,t_a)
| c_in(c_Pair(X1,X4,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(fof_simplification,[status(thm)],[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_17,plain,
( ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)) ),
c_0_15 ).
cnf(c_0_18,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_19,plain,
( ~ c_lessequals(X1,X2,tc_set(t_a))
| X1 = c_emptyset
| c_in(v_sko__4mk(X4,X1,v_r),X1,t_a)
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)
| c_in(c_Pair(X3,X4,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(fof_simplification,[status(thm)],[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_20,negated_conjecture,
v_S != c_emptyset,
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_21,plain,
( ~ c_lessequals(X2,X3,tc_set(t_a))
| ~ c_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(v_sko__4mk(X4,X2,v_r),X2,t_a)
| c_in(c_Pair(X1,X4,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
( ~ c_in(X1,v_S,t_a)
| c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( ~ c_lessequals(X1,X2,tc_set(t_a))
| X1 = c_emptyset
| c_in(v_sko__4mk(X4,X1,v_r),X1,t_a)
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)
| c_in(c_Pair(X3,X4,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
c_0_19 ).
cnf(c_0_24,negated_conjecture,
v_S != c_emptyset,
c_0_20 ).
cnf(c_0_25,plain,
( ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3)) ),
inference(fof_simplification,[status(thm)],[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_26,plain,
( ~ c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| c_in(X1,c_Tarski_Ointerval(X4,X5,X2,X3),X3) ),
inference(fof_simplification,[status(thm)],[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_27,negated_conjecture,
( ~ c_lessequals(X1,X3,tc_set(t_a))
| ~ c_in(v_sko__4mj(X1,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mk(X2,X1,v_r),X1,t_a)
| c_in(c_Pair(v_a,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X1 = c_emptyset ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( 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)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_24]) ).
cnf(c_0_29,plain,
( ~ c_in(X3,v_A,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(fof_simplification,[status(thm)],[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_30,plain,
( ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X3,v_A,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(fof_simplification,[status(thm)],[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_31,plain,
( ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3)) ),
c_0_25 ).
cnf(c_0_32,plain,
( ~ c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| c_in(X1,c_Tarski_Ointerval(X4,X5,X2,X3),X3) ),
c_0_26 ).
cnf(c_0_33,negated_conjecture,
( c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_18]),c_0_24]),c_0_28]) ).
cnf(c_0_34,plain,
( ~ c_in(X3,v_A,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
c_0_29 ).
cnf(c_0_35,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
cls_conjecture_4 ).
cnf(c_0_36,plain,
( ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X3,v_A,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
c_0_30 ).
cnf(c_0_37,negated_conjecture,
( ~ c_in(X1,v_S,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_31,c_0_18]) ).
cnf(c_0_38,negated_conjecture,
c_in(v_b,v_A,t_a),
cls_conjecture_1 ).
cnf(c_0_39,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(X1,v_S,v_r),v_S,t_a)
| c_in(X1,c_Tarski_Ointerval(v_r,v_a,X2,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( ~ c_in(X1,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X1),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_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_42,plain,
( ~ c_in(X3,X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(c_Pair(X3,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(fof_simplification,[status(thm)],[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_43,negated_conjecture,
( ~ c_in(v_sko__4mi(X2,v_r,v_b),v_S,t_a)
| ~ c_Tarski_OisLub(X2,v_cl,X1,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_44,negated_conjecture,
( ~ c_in(X1,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X1),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
c_0_41 ).
cnf(c_0_46,plain,
( ~ c_lessequals(X2,X3,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(X1,X2,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(v_sko__4mj(X2,X4,v_r),X2,t_a)
| c_in(c_Pair(X4,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(fof_simplification,[status(thm)],[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_47,plain,
( ~ c_in(X3,X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(c_Pair(X3,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
c_0_42 ).
cnf(c_0_48,negated_conjecture,
( ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_38])]),c_0_45]) ).
cnf(c_0_49,plain,
( ~ c_lessequals(X2,X4,tc_set(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_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(c_Pair(X1,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(fof_simplification,[status(thm)],[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_50,plain,
( ~ c_lessequals(X2,X3,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(X1,X2,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(v_sko__4mj(X2,X4,v_r),X2,t_a)
| c_in(c_Pair(X4,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
c_0_46 ).
cnf(c_0_51,negated_conjecture,
( ~ c_in(X1,v_S,t_a)
| c_in(c_Pair(X1,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_52,negated_conjecture,
( ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)
| 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,v_b,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_53,plain,
( ~ c_lessequals(X2,X4,tc_set(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_in(c_Pair(X1,v_sko__4mj(X2,X1,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X2 = c_emptyset
| c_in(c_Pair(X1,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
c_0_49 ).
cnf(c_0_54,negated_conjecture,
( ~ c_lessequals(X1,X3,tc_set(t_a))
| ~ c_in(v_sko__4mk(v_L,X1,v_r),v_S,t_a)
| c_in(v_sko__4mj(X1,X2,v_r),X1,t_a)
| c_in(c_Pair(X2,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X1 = c_emptyset ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,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_52,c_0_35]),c_0_45]) ).
cnf(c_0_56,negated_conjecture,
( ~ c_lessequals(X1,X3,tc_set(t_a))
| ~ c_in(v_sko__4mj(X1,v_a,v_r),v_S,t_a)
| ~ c_in(c_Pair(v_sko__4mk(X2,X1,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_a,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X1 = c_emptyset ),
inference(spm,[status(thm)],[c_0_53,c_0_22]) ).
cnf(c_0_57,negated_conjecture,
( ~ c_lessequals(v_S,X2,tc_set(t_a))
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)
| c_in(c_Pair(X1,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_24]) ).
cnf(c_0_58,negated_conjecture,
( ~ c_lessequals(X1,X2,tc_set(t_a))
| ~ c_in(v_sko__4mk(v_L,X1,v_r),v_S,t_a)
| ~ c_in(v_sko__4mj(X1,v_a,v_r),v_S,t_a)
| c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X1 = c_emptyset ),
inference(spm,[status(thm)],[c_0_56,c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)
| c_in(c_Pair(X1,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_57,c_0_18]) ).
cnf(c_0_60,negated_conjecture,
( ~ c_lessequals(v_S,X1,tc_set(t_a))
| c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_24]),c_0_59]) ).
cnf(c_0_61,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_60,c_0_18]) ).
cnf(c_0_62,negated_conjecture,
( ~ c_in(c_Pair(v_L,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_63,negated_conjecture,
( ~ c_in(X1,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X1),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_62,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
( ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_63]),c_0_38])]),c_0_45]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_64]),c_0_35])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 20 23:24:06 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.21/0.49 % Version: 3.5.1
% 0.21/0.49 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.49 % Starting sh5l with 300s (1) cores
% 0.21/0.49 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3619977 completed with status 0
% 0.21/0.49 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.21/0.49 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.49 % No SInE strategy applied
% 0.21/0.49 % Search class: FGUSF-FFMS32-SFFFFFNN
% 0.21/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.49 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.49 % Starting new_bool_3 with 136s (1) cores
% 0.21/0.49 % Starting new_bool_1 with 136s (1) cores
% 0.21/0.49 % SubtermCWHack with pid 3619981 completed with status 0
% 0.21/0.49 % Result found by SubtermCWHack
% 0.21/0.49 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.49 % No SInE strategy applied
% 0.21/0.49 % Search class: FGUSF-FFMS32-SFFFFFNN
% 0.21/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.49 % Preprocessing time : 0.001 s
% 0.21/0.49
% 0.21/0.49 % Proof found!
% 0.21/0.49 % SZS status Unsatisfiable
% 0.21/0.49 % SZS output start CNFRefutation
% See solution above
% 0.21/0.49 % Parsed axioms : 15
% 0.21/0.49 % Removed by relevancy pruning/SinE : 0
% 0.21/0.49 % Initial clauses : 15
% 0.21/0.49 % Removed in clause preprocessing : 0
% 0.21/0.49 % Initial clauses in saturation : 15
% 0.21/0.49 % Processed clauses : 269
% 0.21/0.49 % ...of these trivial : 1
% 0.21/0.49 % ...subsumed : 48
% 0.21/0.49 % ...remaining for further processing : 220
% 0.21/0.49 % Other redundant clauses eliminated : 0
% 0.21/0.49 % Clauses deleted for lack of memory : 0
% 0.21/0.49 % Backward-subsumed : 32
% 0.21/0.49 % Backward-rewritten : 8
% 0.21/0.49 % Generated clauses : 1015
% 0.21/0.49 % ...of the previous two non-redundant : 1002
% 0.21/0.49 % ...aggressively subsumed : 0
% 0.21/0.49 % Contextual simplify-reflections : 3
% 0.21/0.49 % Paramodulations : 1005
% 0.21/0.49 % Factorizations : 10
% 0.21/0.49 % NegExts : 0
% 0.21/0.49 % Equation resolutions : 0
% 0.21/0.49 % Disequality decompositions : 0
% 0.21/0.49 % Total rewrite steps : 40
% 0.21/0.49 % ...of those cached : 36
% 0.21/0.49 % Propositional unsat checks : 0
% 0.21/0.49 % Propositional check models : 0
% 0.21/0.49 % Propositional check unsatisfiable : 0
% 0.21/0.49 % Propositional clauses : 0
% 0.21/0.49 % Propositional clauses after purity: 0
% 0.21/0.49 % Propositional unsat core size : 0
% 0.21/0.49 % Propositional preprocessing time : 0.000
% 0.21/0.49 % Propositional encoding time : 0.000
% 0.21/0.49 % Propositional solver time : 0.000
% 0.21/0.49 % Success case prop preproc time : 0.000
% 0.21/0.49 % Success case prop encoding time : 0.000
% 0.21/0.49 % Success case prop solver time : 0.000
% 0.21/0.49 % Current number of processed clauses : 180
% 0.21/0.49 % Positive orientable unit clauses : 5
% 0.21/0.49 % Positive unorientable unit clauses: 0
% 0.21/0.49 % Negative unit clauses : 3
% 0.21/0.49 % Non-unit-clauses : 172
% 0.21/0.49 % Current number of unprocessed clauses: 730
% 0.21/0.49 % ...number of literals in the above : 4087
% 0.21/0.49 % Current number of archived formulas : 0
% 0.21/0.49 % Current number of archived clauses : 40
% 0.21/0.49 % Clause-clause subsumption calls (NU) : 20470
% 0.21/0.49 % Rec. Clause-clause subsumption calls : 2761
% 0.21/0.49 % Non-unit clause-clause subsumptions : 74
% 0.21/0.49 % Unit Clause-clause subsumption calls : 85
% 0.21/0.49 % Rewrite failures with RHS unbound : 0
% 0.21/0.49 % BW rewrite match attempts : 2
% 0.21/0.49 % BW rewrite match successes : 2
% 0.21/0.49 % Condensation attempts : 0
% 0.21/0.49 % Condensation successes : 0
% 0.21/0.49 % Termbank termtop insertions : 36157
% 0.21/0.49 % Search garbage collected termcells : 52
% 0.21/0.49
% 0.21/0.49 % -------------------------------------------------
% 0.21/0.49 % User time : 0.027 s
% 0.21/0.49 % System time : 0.003 s
% 0.21/0.49 % Total time : 0.030 s
% 0.21/0.49 % Maximum resident set size: 3656 pages
% 0.21/0.49
% 0.21/0.49 % -------------------------------------------------
% 0.21/0.49 % User time : 0.100 s
% 0.21/0.49 % System time : 0.016 s
% 0.21/0.49 % Total time : 0.116 s
% 0.21/0.49 % Maximum resident set size: 4864 pages
% 0.21/0.49 % E exiting
%------------------------------------------------------------------------------