%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP028+4 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 : Tue May 5 05:56:39 PM UTC 2026
% Result : Theorem 63.55s 62.54s
% Output : CNFRefutation 63.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 14 unt; 0 def)
% Number of atoms : 375 ( 33 equ)
% Maximal formula atoms : 194 ( 7 avg)
% Number of connectives : 553 ( 230 ~; 229 |; 70 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-4 aty)
% Number of variables : 91 ( 6 sgn 52 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t8_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d10_xboole_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).
fof(rc2_tex_2,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_tex_2(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+387.ax',rc2_tex_2) ).
fof(t10_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).
fof(t9_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(d8_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ~ ( r2_hidden(X3,X2)
& r2_hidden(X4,X2)
& X3 != X4
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& r2_hidden(X3,X5)
& ~ r2_hidden(X4,X5) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& ~ r2_hidden(X3,X5)
& r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+406.ax',d8_tsp_1) ).
fof(c_0_10,plain,
! [X1549,X1550] :
( ~ v1_xboole_0(X1549)
| X1549 = X1550
| ~ v1_xboole_0(X1550) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_11,plain,
v1_xboole_0(esk87_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_12,plain,
! [X941,X942] :
( ( r1_tarski(X941,X942)
| X941 != X942 )
& ( r1_tarski(X942,X941)
| X941 != X942 )
& ( ~ r1_tarski(X941,X942)
| ~ r1_tarski(X942,X941)
| X941 = X942 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(c_0_13,plain,
! [X963,X964] :
( ( ~ m1_subset_1(X963,k1_zfmisc_1(X964))
| r1_tarski(X963,X964) )
& ( ~ r1_tarski(X963,X964)
| m1_subset_1(X963,k1_zfmisc_1(X964)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_14,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
v1_xboole_0(esk87_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X902] :
( m1_subset_1(esk6_1(X902),k1_zfmisc_1(X902))
& v1_xboole_0(esk6_1(X902)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_17,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( X1 = esk87_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
v1_xboole_0(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_tex_2(X2,k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[rc2_tex_2]) ).
cnf(c_0_22,plain,
( X1 = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
m1_subset_1(esk6_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
esk6_1(X1) = esk87_0,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_tsp_2])]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).
fof(c_0_27,plain,
! [X927,X928,X929] :
( ~ r2_hidden(X927,X928)
| ~ m1_subset_1(X928,k1_zfmisc_1(X929))
| ~ v1_xboole_0(X929) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_28,plain,
! [X1340] :
( m1_subset_1(esk59_1(X1340),k1_zfmisc_1(X1340))
& ~ v1_tex_2(esk59_1(X1340),k1_zfmisc_1(X1340)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])]) ).
cnf(c_0_29,plain,
( X1 = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_30,plain,
m1_subset_1(esk87_0,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_31,negated_conjecture,
! [X865] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ( ~ m1_subset_1(X865,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X865,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_32,plain,
! [X894,X895] :
( ( m1_subset_1(esk3_2(X894,X895),k1_zfmisc_1(u1_struct_0(X894)))
| ~ v1_tsp_1(X895,X894)
| ~ m1_subset_1(X895,k1_zfmisc_1(u1_struct_0(X894)))
| v3_struct_0(X894)
| ~ v2_pre_topc(X894)
| ~ l1_pre_topc(X894) )
& ( r1_tarski(X895,esk3_2(X894,X895))
| ~ v1_tsp_1(X895,X894)
| ~ m1_subset_1(X895,k1_zfmisc_1(u1_struct_0(X894)))
| v3_struct_0(X894)
| ~ v2_pre_topc(X894)
| ~ l1_pre_topc(X894) )
& ( v1_tsp_2(esk3_2(X894,X895),X894)
| ~ v1_tsp_1(X895,X894)
| ~ m1_subset_1(X895,k1_zfmisc_1(u1_struct_0(X894)))
| v3_struct_0(X894)
| ~ v2_pre_topc(X894)
| ~ l1_pre_topc(X894) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
cnf(c_0_33,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
m1_subset_1(esk59_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( X1 = esk87_0
| ~ m1_subset_1(X1,k1_zfmisc_1(esk87_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ~ ( r2_hidden(X3,X2)
& r2_hidden(X4,X2)
& X3 != X4
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& r2_hidden(X3,X5)
& ~ r2_hidden(X4,X5) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& ~ r2_hidden(X3,X5)
& r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_tsp_1]) ).
cnf(c_0_37,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( v1_tsp_2(esk3_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk59_1(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
esk59_1(esk87_0) = esk87_0,
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_44,plain,
! [X1005,X1006,X1007,X1008,X1013,X1014] :
( ( m1_subset_1(esk18_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| m1_subset_1(esk17_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( v3_pre_topc(esk18_4(X1005,X1006,X1007,X1008),X1005)
| m1_subset_1(esk17_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( ~ r2_hidden(X1007,esk18_4(X1005,X1006,X1007,X1008))
| m1_subset_1(esk17_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( r2_hidden(X1008,esk18_4(X1005,X1006,X1007,X1008))
| m1_subset_1(esk17_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( m1_subset_1(esk18_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| v3_pre_topc(esk17_4(X1005,X1006,X1007,X1008),X1005)
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( v3_pre_topc(esk18_4(X1005,X1006,X1007,X1008),X1005)
| v3_pre_topc(esk17_4(X1005,X1006,X1007,X1008),X1005)
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( ~ r2_hidden(X1007,esk18_4(X1005,X1006,X1007,X1008))
| v3_pre_topc(esk17_4(X1005,X1006,X1007,X1008),X1005)
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( r2_hidden(X1008,esk18_4(X1005,X1006,X1007,X1008))
| v3_pre_topc(esk17_4(X1005,X1006,X1007,X1008),X1005)
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( m1_subset_1(esk18_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| r2_hidden(X1007,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( v3_pre_topc(esk18_4(X1005,X1006,X1007,X1008),X1005)
| r2_hidden(X1007,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( ~ r2_hidden(X1007,esk18_4(X1005,X1006,X1007,X1008))
| r2_hidden(X1007,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( r2_hidden(X1008,esk18_4(X1005,X1006,X1007,X1008))
| r2_hidden(X1007,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( m1_subset_1(esk18_4(X1005,X1006,X1007,X1008),k1_zfmisc_1(u1_struct_0(X1005)))
| ~ r2_hidden(X1008,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( v3_pre_topc(esk18_4(X1005,X1006,X1007,X1008),X1005)
| ~ r2_hidden(X1008,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( ~ r2_hidden(X1007,esk18_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1008,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( r2_hidden(X1008,esk18_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1008,esk17_4(X1005,X1006,X1007,X1008))
| ~ r2_hidden(X1007,X1006)
| ~ r2_hidden(X1008,X1006)
| X1007 = X1008
| ~ m1_subset_1(X1008,u1_struct_0(X1005))
| ~ m1_subset_1(X1007,u1_struct_0(X1005))
| ~ v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( m1_subset_1(esk19_2(X1005,X1006),u1_struct_0(X1005))
| v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( m1_subset_1(esk20_2(X1005,X1006),u1_struct_0(X1005))
| v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( r2_hidden(esk19_2(X1005,X1006),X1006)
| v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( r2_hidden(esk20_2(X1005,X1006),X1006)
| v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( esk19_2(X1005,X1006) != esk20_2(X1005,X1006)
| v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( ~ m1_subset_1(X1013,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ v3_pre_topc(X1013,X1005)
| ~ r2_hidden(esk19_2(X1005,X1006),X1013)
| r2_hidden(esk20_2(X1005,X1006),X1013)
| v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) )
& ( ~ m1_subset_1(X1014,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ v3_pre_topc(X1014,X1005)
| r2_hidden(esk19_2(X1005,X1006),X1014)
| ~ r2_hidden(esk20_2(X1005,X1006),X1014)
| v1_tsp_1(X1006,X1005)
| ~ m1_subset_1(X1006,k1_zfmisc_1(u1_struct_0(X1005)))
| ~ l1_pre_topc(X1005) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(esk3_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_46,plain,
( m1_subset_1(esk3_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47,plain,
~ r2_hidden(X1,esk87_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_15])]) ).
cnf(c_0_48,plain,
( r2_hidden(esk19_2(X1,X2),X2)
| v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_50,plain,
( v1_tsp_1(esk87_0,X1)
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_30])]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_30]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : TOP028+4 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 09:56:34 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 63.55/62.54 % Version : CSE_E---1.7
% 63.55/62.54 % Problem : theBenchmark.p
% 63.55/62.54 % SZS status Theorem for theBenchmark.p
% 63.55/62.54 % SZS output start CNFRefutation
% See solution above
% 63.55/62.54 % Total time : 62.189s
%------------------------------------------------------------------------------