TSTP Solution File: LAT274-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : 600s
% DateTime : Sun Jul 17 06:43:14 EDT 2022
% Result : Unsatisfiable 0.40s 0.60s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of clauses : 40 ( 14 unt; 21 nHn; 32 RR)
% Number of literals : 96 ( 5 equ; 25 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 : 48 ( 6 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_lessequals(X,Y,tc_set(t_a))
| c_in(c_Pair(Z,U,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X,Z,v_r),X,t_a)
| c_in(v_sko__4mk(U,X,v_r),X,t_a)
| X = c_emptyset ),
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(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(v_sko__4mk(X,Y,v_r),X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(Y,Z,tc_set(t_a))
| c_in(c_Pair(U,X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(Y,U,v_r),Y,t_a)
| Y = c_emptyset ),
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(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(X,v_sko__4mj(Y,X,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(Y,Z,tc_set(t_a))
| c_in(c_Pair(X,U,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(U,Y,v_r),Y,t_a)
| Y = c_emptyset ),
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(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(X,v_sko__4mj(Y,X,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(Z,Y,v_r),Z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(Y,U,tc_set(t_a))
| c_in(c_Pair(X,Z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| Y = c_emptyset ),
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(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(X,Y,Z)
| ~ c_lessequals(Y,c_Tarski_Ointerval(U,V,W,Z),tc_set(Z))
| c_in(c_Pair(V,X,Z,Z),U,tc_prod(Z,Z)) ),
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(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(X,Y,Z)
| ~ c_lessequals(Y,c_Tarski_Ointerval(U,V,W,Z),tc_set(Z))
| c_in(c_Pair(X,W,Z,Z),U,tc_prod(Z,Z)) ),
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(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(X,Y,Z,Z),U,tc_prod(Z,Z))
| ~ c_in(c_Pair(V,X,Z,Z),U,tc_prod(Z,Z))
| c_in(X,c_Tarski_Ointerval(U,V,Y,Z),Z) ),
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(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_Tarski_OisLub(X,v_cl,Y,t_a)
| ~ c_in(Z,X,t_a)
| c_in(c_Pair(Z,Y,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(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_Tarski_OisLub(X,v_cl,Y,t_a)
| ~ c_in(Z,v_A,t_a)
| c_in(c_Pair(Y,Z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X,v_r,Z),X,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(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_Tarski_OisLub(X,v_cl,Y,t_a)
| ~ c_in(Z,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X,v_r,Z),Z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(Y,Z,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(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
v_S != c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
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/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(16,plain,
( 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('HYPERRESOLVE',[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,cls_conjecture_4,cls_conjecture_1]) ).
cnf(17,plain,
( c_in(c_Pair(X,Y,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X,v_r),v_S,t_a)
| c_in(v_sko__4mk(Y,v_S,v_r),v_S,t_a) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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,cls_conjecture_2]),cls_conjecture_3]) ).
cnf(19,plain,
( c_in(v_sko__4mj(v_S,X,v_r),v_S,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)
| c_in(v_L,c_Tarski_Ointerval(v_r,X,v_b,t_a),t_a) ),
inference('HYPERRESOLVE',[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_0,17,16]) ).
cnf(24,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,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('HYPERRESOLVE',[status(thm)],[cls_conjecture_6,19]) ).
cnf(27,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| 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('HYPERRESOLVE',[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_0,24,cls_conjecture_4]) ).
cnf(35,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(c_Pair(X,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X,v_r),v_S,t_a) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_1,27,cls_conjecture_2]),cls_conjecture_3]) ).
cnf(40,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),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('FACTOR',[status(thm)],[35]) ).
cnf(46,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_0,40,16]),cls_conjecture_6]) ).
cnf(48,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference('HYPERRESOLVE',[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_0,46,cls_conjecture_2]) ).
cnf(53,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(c_Pair(v_a,X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X,v_S,v_r),v_S,t_a) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_2,48,cls_conjecture_2]),cls_conjecture_3]) ).
cnf(60,plain,
( 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('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_0,53,16]),cls_conjecture_6]) ).
cnf(67,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| 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('HYPERRESOLVE',[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_0,60,cls_conjecture_4]) ).
cnf(77,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),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('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_3,67,48,cls_conjecture_2]),cls_conjecture_3]) ).
cnf(81,plain,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_0,77,16]),cls_conjecture_6]) ).
cnf(82,plain,
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('HYPERRESOLVE',[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_0,81,cls_conjecture_2]) ).
cnf(85,plain,
c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[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_1,82,cls_conjecture_4,cls_conjecture_1]) ).
cnf(88,plain,
~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('UR-RESOLVE',[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_0,85,cls_conjecture_6]) ).
cnf(93,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference('HYPERRESOLVE',[status(thm)],[88,17]) ).
cnf(104,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| 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('HYPERRESOLVE',[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_0,93,cls_conjecture_4]) ).
cnf(112,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(c_Pair(X,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X,v_r),v_S,t_a) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_1,104,cls_conjecture_2]),cls_conjecture_3]) ).
cnf(121,plain,
c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
inference('HYPERRESOLVE',[status(thm)],[88,112]) ).
cnf(123,plain,
c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[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_0,121,cls_conjecture_2]) ).
cnf(127,plain,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference('UR-RESOLVE',[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_2,123,cls_conjecture_2,88,cls_conjecture_3]) ).
cnf(129,plain,
~ 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('UR-RESOLVE',[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_3,123,cls_conjecture_2,88,cls_conjecture_3]) ).
cnf(135,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[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_0,127,cls_conjecture_4]),129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 05:41:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T05:41:30
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-30T05:41:30
% 0.40/0.60
% 0.40/0.60
% 0.40/0.60 #||
% 0.40/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.60 % SZS output start Refutation
% See solution above
% 0.40/0.60 ||#
% 0.40/0.60
% 0.40/0.60 ; Summary of computation:
% 0.40/0.60 ; 203 formulas have been input or derived (from 77 formulas).
% 0.40/0.60 ; 135 (67%) were retained. Of these,
% 0.40/0.60 ; 78 (58%) were simplified or subsumed later,
% 0.40/0.60 ; 57 (42%) are still being kept.
% 0.40/0.60 ;
% 0.40/0.60 ; Run time in seconds excluding printing time:
% 0.40/0.60 ; 0.006 5% Read assertion file (1 call)
% 0.40/0.60 ; 0.000 0% Assert (15 calls)
% 0.40/0.60 ; 0.025 21% Process new row (194 calls)
% 0.40/0.60 ; 0.012 10% Resolution (152 calls)
% 0.40/0.60 ; 0.001 1% Paramodulation (76 calls)
% 0.40/0.60 ; 0.001 1% Factoring (45 calls)
% 0.40/0.60 ; 0.000 0% Condensing (138 calls)
% 0.40/0.60 ; 0.021 18% Forward subsumption (138 calls)
% 0.40/0.60 ; 0.014 12% Backward subsumption (108 calls)
% 0.40/0.60 ; 0.002 2% Clause clause subsumption (164 calls)
% 0.40/0.60 ; 0.007 6% Forward simplification (171 calls)
% 0.40/0.60 ; 0.004 3% Backward simplification (135 calls)
% 0.40/0.60 ; 0.003 3% Ordering (209 calls)
% 0.40/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.60 ; 0.000 0% Purity testing (1 call)
% 0.40/0.60 ; 0.023 19% Other
% 0.40/0.60 ; 0.119 Total
% 0.40/0.60 ; 0.124 Real time
% 0.40/0.60 ;
% 0.40/0.60 ; Term-hash-array has 203 terms in all.
% 0.40/0.60 ; Feature-vector-row-index has 30 entries (51 at peak, 108 added, 78 deleted).
% 0.40/0.60 ; Feature-vector-row-index has 408 nodes (706 at peak, 1,634 added, 1,226 deleted).
% 0.40/0.60 ; Retrieved 149 possibly forward subsuming rows in 138 calls.
% 0.40/0.60 ; Retrieved 75 possibly backward subsumed rows in 108 calls.
% 0.40/0.60 ; Path-index has 168 entries (169 at peak, 316 added, 148 deleted).
% 0.40/0.60 ; Path-index has 456 nodes (456 at peak, 624 added, 168 deleted).
% 0.40/0.60 ; Trie-index has 168 entries (169 at peak, 316 added, 148 deleted).
% 0.40/0.60 ; Trie-index has 636 nodes (636 at peak, 1,354 added, 718 deleted).
% 0.40/0.60 ; Retrieved 32 generalization terms in 514 calls.
% 0.40/0.60 ; Retrieved 26 instance terms in 26 calls.
% 0.40/0.60 ; Retrieved 1,976 unifiable terms in 1,087 calls.
% 0.40/0.60 ;
% 0.40/0.60 ; The agenda of rows to process has 3 entries:
% 0.40/0.60 ; 3 with value 38
% 0.40/0.60 ; The agenda of rows to give has 16 entries:
% 0.40/0.60 ; 1 with value (4 34) 2 with value (4 38) 2 with value (4 53)
% 0.40/0.60 ; 1 with value (4 36) 1 with value (4 42) 5 with value (4 56)
% 0.40/0.60 ; 1 with value (4 37) 3 with value (4 49)
% 0.40/0.60 Evaluation took:
% 0.40/0.60 0.125 seconds of real time
% 0.40/0.60 0.109568 seconds of user run time
% 0.40/0.60 0.01513 seconds of system run time
% 0.40/0.60 0 calls to %EVAL
% 0.40/0.60 0 page faults and
% 0.40/0.60 11,277,584 bytes consed.
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-30T05:41:30
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 *
%------------------------------------------------------------------------------