TSTP Solution File: LAT274-2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Thu Aug 31 06:17:16 EDT 2023
% Result : Unsatisfiable 2.52s 1.07s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of clauses : 69 ( 13 unt; 28 nHn; 50 RR)
% Number of literals : 226 ( 63 equ; 114 neg)
% Maximal clause size : 7 ( 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 : 135 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_lessequals(X0,X1,tc_set(t_a))
| X0 = c_emptyset
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a) ),
file('/export/starexec/sandbox/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(c_50,plain,
( ~ c_in(c_Pair(v_sko__4mk(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X2,tc_set(t_a))
| X1 = c_emptyset
| c_in(c_Pair(X3,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a) ),
file('/export/starexec/sandbox/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(c_51,plain,
( ~ c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X2,tc_set(t_a))
| X1 = c_emptyset
| c_in(c_Pair(X0,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X3,X1,v_r),X1,t_a) ),
file('/export/starexec/sandbox/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(c_52,plain,
( ~ c_in(c_Pair(v_sko__4mk(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X2,v_sko__4mj(X1,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X3,tc_set(t_a))
| X1 = c_emptyset
| c_in(c_Pair(X2,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/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_53,plain,
( ~ c_lessequals(X0,c_Tarski_Ointerval(X1,X2,X3,X4),tc_set(X4))
| ~ c_in(X5,X0,X4)
| c_in(c_Pair(X2,X5,X4,X4),X1,tc_prod(X4,X4)) ),
file('/export/starexec/sandbox/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(c_54,plain,
( ~ c_lessequals(X0,c_Tarski_Ointerval(X1,X2,X3,X4),tc_set(X4))
| ~ c_in(X5,X0,X4)
| c_in(c_Pair(X5,X3,X4,X4),X1,tc_prod(X4,X4)) ),
file('/export/starexec/sandbox/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(c_55,plain,
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2))
| c_in(X1,c_Tarski_Ointerval(X3,X0,X4,X2),X2) ),
file('/export/starexec/sandbox/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(c_56,plain,
( ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(X2,X0,t_a)
| c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/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(c_57,plain,
( ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(X2,v_A,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X0,v_r,X2),X0,t_a) ),
file('/export/starexec/sandbox/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(c_58,plain,
( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X1),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X0,v_cl,X2,t_a)
| ~ c_in(X1,v_A,t_a)
| c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/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(c_59,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_60,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_61,negated_conjecture,
c_emptyset != v_S,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_62,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_63,negated_conjecture,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_253,plain,
( X0 != v_S
| X1 != v_L
| t_a != t_a
| v_cl != v_cl
| ~ c_in(X2,v_A,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X0,v_r,X2),X0,t_a) ),
inference(resolution_lifted,[status(thm)],[c_57,c_62]) ).
cnf(c_254,plain,
( ~ c_in(X0,v_A,t_a)
| c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a) ),
inference(unflattening,[status(thm)],[c_253]) ).
cnf(c_265,plain,
( X0 != v_S
| X1 != v_L
| t_a != t_a
| v_cl != v_cl
| ~ c_in(X2,X0,t_a)
| c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution_lifted,[status(thm)],[c_56,c_62]) ).
cnf(c_266,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(unflattening,[status(thm)],[c_265]) ).
cnf(c_274,plain,
( X0 != v_S
| X1 != v_L
| t_a != t_a
| v_cl != v_cl
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X2),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution_lifted,[status(thm)],[c_58,c_62]) ).
cnf(c_275,plain,
( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,X0),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(unflattening,[status(thm)],[c_274]) ).
cnf(c_294,plain,
( c_Tarski_Ointerval(v_r,v_a,v_b,t_a) != X1
| tc_set(t_a) != tc_set(t_a)
| X0 != v_S
| X0 = c_emptyset
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a) ),
inference(resolution_lifted,[status(thm)],[c_49,c_60]) ).
cnf(c_295,plain,
( v_S = c_emptyset
| c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a) ),
inference(unflattening,[status(thm)],[c_294]) ).
cnf(c_309,plain,
( c_Tarski_Ointerval(v_r,v_a,v_b,t_a) != X1
| tc_set(t_a) != tc_set(t_a)
| X0 != v_S
| ~ c_in(c_Pair(X2,v_sko__4mj(X0,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X0 = c_emptyset
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a) ),
inference(resolution_lifted,[status(thm)],[c_51,c_60]) ).
cnf(c_310,plain,
( ~ c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| v_S = c_emptyset
| c_in(c_Pair(X0,X1,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) ),
inference(unflattening,[status(thm)],[c_309]) ).
cnf(c_324,plain,
( c_Tarski_Ointerval(v_r,v_a,v_b,t_a) != X1
| tc_set(t_a) != tc_set(t_a)
| X0 != v_S
| ~ c_in(c_Pair(v_sko__4mk(X2,X0,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X0 = c_emptyset
| c_in(c_Pair(X3,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X0,X3,v_r),X0,t_a) ),
inference(resolution_lifted,[status(thm)],[c_50,c_60]) ).
cnf(c_325,plain,
( ~ c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| v_S = c_emptyset
| c_in(c_Pair(X1,X0,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(unflattening,[status(thm)],[c_324]) ).
cnf(c_339,plain,
( c_Tarski_Ointerval(v_r,v_a,v_b,t_a) != X1
| tc_set(t_a) != tc_set(t_a)
| X0 != v_S
| ~ c_in(c_Pair(v_sko__4mk(X2,X0,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X3,v_sko__4mj(X0,X3,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| X0 = c_emptyset
| c_in(c_Pair(X3,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution_lifted,[status(thm)],[c_52,c_60]) ).
cnf(c_340,plain,
( ~ c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,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))
| v_S = c_emptyset
| c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(unflattening,[status(thm)],[c_339]) ).
cnf(c_354,plain,
( c_Tarski_Ointerval(X0,X1,X2,X3) != c_Tarski_Ointerval(v_r,v_a,v_b,t_a)
| tc_set(X3) != tc_set(t_a)
| X4 != v_S
| ~ c_in(X5,X4,X3)
| c_in(c_Pair(X5,X2,X3,X3),X0,tc_prod(X3,X3)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_60]) ).
cnf(c_355,plain,
( c_Tarski_Ointerval(X0,X1,X2,X3) != c_Tarski_Ointerval(v_r,v_a,v_b,t_a)
| tc_set(X3) != tc_set(t_a)
| ~ c_in(X4,v_S,X3)
| c_in(c_Pair(X4,X2,X3,X3),X0,tc_prod(X3,X3)) ),
inference(unflattening,[status(thm)],[c_354]) ).
cnf(c_369,plain,
( c_Tarski_Ointerval(X0,X1,X2,X3) != c_Tarski_Ointerval(v_r,v_a,v_b,t_a)
| tc_set(X3) != tc_set(t_a)
| X4 != v_S
| ~ c_in(X5,X4,X3)
| c_in(c_Pair(X1,X5,X3,X3),X0,tc_prod(X3,X3)) ),
inference(resolution_lifted,[status(thm)],[c_53,c_60]) ).
cnf(c_370,plain,
( c_Tarski_Ointerval(X0,X1,X2,X3) != c_Tarski_Ointerval(v_r,v_a,v_b,t_a)
| tc_set(X3) != tc_set(t_a)
| ~ c_in(X4,v_S,X3)
| c_in(c_Pair(X1,X4,X3,X3),X0,tc_prod(X3,X3)) ),
inference(unflattening,[status(thm)],[c_369]) ).
cnf(c_562,plain,
X0 = X0,
theory(equality) ).
cnf(c_564,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_939,plain,
( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = v_S
| c_in(X0,c_Tarski_Ointerval(v_r,X2,X1,t_a),t_a)
| c_in(v_sko__4mj(v_S,X2,v_r),v_S,t_a)
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_295,c_55]) ).
cnf(c_947,plain,
( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(X0,c_Tarski_Ointerval(v_r,X2,X1,t_a),t_a)
| c_in(v_sko__4mj(v_S,X2,v_r),v_S,t_a)
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_939,c_61]) ).
cnf(c_1136,plain,
( ~ c_in(v_b,v_A,t_a)
| 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(instantiation,[status(thm)],[c_254]) ).
cnf(c_1156,plain,
( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_emptyset = v_S
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_266,c_325]) ).
cnf(c_1159,plain,
( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1156,c_61]) ).
cnf(c_1176,plain,
( c_emptyset != X0
| v_S != X0
| c_emptyset = v_S ),
inference(instantiation,[status(thm)],[c_564]) ).
cnf(c_1184,plain,
( ~ c_in(c_Pair(v_L,X0,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_L,c_Tarski_Ointerval(v_r,X1,X0,t_a),t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_1159,c_55]) ).
cnf(c_1276,plain,
( c_emptyset != c_emptyset
| v_S != c_emptyset
| c_emptyset = v_S ),
inference(instantiation,[status(thm)],[c_1176]) ).
cnf(c_1277,plain,
c_emptyset = c_emptyset,
inference(instantiation,[status(thm)],[c_562]) ).
cnf(c_1287,plain,
( tc_set(t_a) != tc_set(t_a)
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(equality_resolution,[status(thm)],[c_355]) ).
cnf(c_1288,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(equality_resolution_simp,[status(thm)],[c_1287]) ).
cnf(c_1292,plain,
( ~ 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(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(global_subsumption_just,[status(thm)],[c_340,c_61,c_340,c_1276,c_1277]) ).
cnf(c_1293,plain,
( ~ c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,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(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(renaming,[status(thm)],[c_1292]) ).
cnf(c_1302,plain,
( ~ c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),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(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_266,c_1293]) ).
cnf(c_1401,plain,
( ~ c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,X1,X0,t_a),t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1184,c_947]) ).
cnf(c_1484,plain,
( tc_set(t_a) != tc_set(t_a)
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(equality_resolution,[status(thm)],[c_370]) ).
cnf(c_1485,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(equality_resolution_simp,[status(thm)],[c_1484]) ).
cnf(c_1503,plain,
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_1288,c_275]) ).
cnf(c_1517,plain,
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1503,c_59]) ).
cnf(c_1588,plain,
( ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_emptyset = v_S
| c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_1485,c_310]) ).
cnf(c_1600,plain,
( ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1588,c_61]) ).
cnf(c_1615,plain,
c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(global_subsumption_just,[status(thm)],[c_1517,c_59,c_1136,c_1517]) ).
cnf(c_1618,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_1615,c_1401]) ).
cnf(c_1705,plain,
( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a)
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_1600,c_55]) ).
cnf(c_2190,plain,
( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a)
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1705,c_947]) ).
cnf(c_2202,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_1615,c_2190]) ).
cnf(c_2207,plain,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference(forward_subsumption_resolution,[status(thm)],[c_2202,c_63]) ).
cnf(c_2450,plain,
c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
inference(superposition,[status(thm)],[c_1618,c_63]) ).
cnf(c_2779,plain,
( ~ c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(global_subsumption_just,[status(thm)],[c_1302,c_1302,c_2207]) ).
cnf(c_2792,plain,
( ~ c_in(v_sko__4mj(v_S,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)) ),
inference(superposition,[status(thm)],[c_1485,c_2779]) ).
cnf(c_2793,plain,
c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_subsumption_resolution,[status(thm)],[c_2792,c_2450]) ).
cnf(c_2801,plain,
( ~ c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X0,t_a),t_a) ),
inference(superposition,[status(thm)],[c_2793,c_55]) ).
cnf(c_2975,plain,
c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
inference(superposition,[status(thm)],[c_1615,c_2801]) ).
cnf(c_2978,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2975,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Aug 24 08:55:24 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.52/1.07 % SZS status Started for theBenchmark.p
% 2.52/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.07
% 2.52/1.07 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.52/1.07
% 2.52/1.07 ------ iProver source info
% 2.52/1.07
% 2.52/1.07 git: date: 2023-05-31 18:12:56 +0000
% 2.52/1.07 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.52/1.07 git: non_committed_changes: false
% 2.52/1.07 git: last_make_outside_of_git: false
% 2.52/1.07
% 2.52/1.07 ------ Parsing...successful
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 2.52/1.07
% 2.52/1.07 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.52/1.07
% 2.52/1.07 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.52/1.07 ------ Proving...
% 2.52/1.07 ------ Problem Properties
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07 clauses 13
% 2.52/1.07 conjectures 3
% 2.52/1.07 EPR 2
% 2.52/1.07 Horn 8
% 2.52/1.07 unary 3
% 2.52/1.07 binary 1
% 2.52/1.07 lits 38
% 2.52/1.07 lits eq 9
% 2.52/1.07 fd_pure 0
% 2.52/1.07 fd_pseudo 0
% 2.52/1.07 fd_cond 0
% 2.52/1.07 fd_pseudo_cond 0
% 2.52/1.07 AC symbols 0
% 2.52/1.07
% 2.52/1.07 ------ Schedule dynamic 5 is on
% 2.52/1.07
% 2.52/1.07 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07 ------
% 2.52/1.07 Current options:
% 2.52/1.07 ------
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07 ------ Proving...
% 2.52/1.07
% 2.52/1.07
% 2.52/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.07
% 2.52/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.52/1.07
% 2.64/1.07
%------------------------------------------------------------------------------