%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP023+1 : 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 : n001.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 05:56:36 PM UTC 2026
% Result : Theorem 4.32s 3.26s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 23 unt; 0 def)
% Number of atoms : 199 ( 45 equ)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 241 ( 97 ~; 99 |; 22 &)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 5 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(free_g1_pre_topc,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3,X4] :
( g1_pre_topc(X1,X2) = g1_pre_topc(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(dt_u1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
fof(t1_tsp_2,conjecture,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& X3 = X4
& v1_tsp_2(X3,X1) )
=> v1_tsp_2(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(t5_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& X3 = X4
& v1_tsp_1(X3,X1) )
=> v1_tsp_1(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).
fof(d4_tsp_2,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_1(X3,X1)
& r1_tarski(X2,X3) )
=> X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(c_0_5,plain,
! [X133,X134,X135,X136] :
( ( X133 = X135
| g1_pre_topc(X133,X134) != g1_pre_topc(X135,X136)
| ~ m1_subset_1(X134,k1_zfmisc_1(k1_zfmisc_1(X133))) )
& ( X134 = X136
| g1_pre_topc(X133,X134) != g1_pre_topc(X135,X136)
| ~ m1_subset_1(X134,k1_zfmisc_1(k1_zfmisc_1(X133))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_pre_topc])])])]) ).
fof(c_0_6,plain,
! [X127] :
( ~ l1_pre_topc(X127)
| m1_subset_1(u1_pre_topc(X127),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X127)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_pre_topc])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& X3 = X4
& v1_tsp_2(X3,X1) )
=> v1_tsp_2(X4,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t1_tsp_2]) ).
cnf(c_0_8,plain,
( X1 = X2
| g1_pre_topc(X3,X1) != g1_pre_topc(X4,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
( l1_pre_topc(esk1_0)
& l1_pre_topc(esk2_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0))
& esk3_0 = esk4_0
& v1_tsp_2(esk3_0,esk1_0)
& ~ v1_tsp_2(esk4_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X158,X159,X160,X161] :
( ~ l1_pre_topc(X158)
| ~ l1_pre_topc(X159)
| ~ m1_subset_1(X160,k1_zfmisc_1(u1_struct_0(X158)))
| ~ m1_subset_1(X161,k1_zfmisc_1(u1_struct_0(X159)))
| g1_pre_topc(u1_struct_0(X158),u1_pre_topc(X158)) != g1_pre_topc(u1_struct_0(X159),u1_pre_topc(X159))
| X160 != X161
| ~ v1_tsp_1(X160,X158)
| v1_tsp_1(X161,X159) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tsp_1])])]) ).
cnf(c_0_12,plain,
( u1_pre_topc(X1) = X2
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(X3,X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
l1_pre_topc(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( v1_tsp_1(X4,X2)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| X3 != X4
| ~ v1_tsp_1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,plain,
! [X120,X121,X122] :
( ( v1_tsp_1(X121,X120)
| ~ v1_tsp_2(X121,X120)
| ~ m1_subset_1(X121,k1_zfmisc_1(u1_struct_0(X120)))
| ~ l1_pre_topc(X120) )
& ( ~ m1_subset_1(X122,k1_zfmisc_1(u1_struct_0(X120)))
| ~ v1_tsp_1(X122,X120)
| ~ r1_tarski(X121,X122)
| X121 = X122
| ~ v1_tsp_2(X121,X120)
| ~ m1_subset_1(X121,k1_zfmisc_1(u1_struct_0(X120)))
| ~ l1_pre_topc(X120) )
& ( m1_subset_1(esk5_2(X120,X121),k1_zfmisc_1(u1_struct_0(X120)))
| ~ v1_tsp_1(X121,X120)
| v1_tsp_2(X121,X120)
| ~ m1_subset_1(X121,k1_zfmisc_1(u1_struct_0(X120)))
| ~ l1_pre_topc(X120) )
& ( v1_tsp_1(esk5_2(X120,X121),X120)
| ~ v1_tsp_1(X121,X120)
| v1_tsp_2(X121,X120)
| ~ m1_subset_1(X121,k1_zfmisc_1(u1_struct_0(X120)))
| ~ l1_pre_topc(X120) )
& ( r1_tarski(X121,esk5_2(X120,X121))
| ~ v1_tsp_1(X121,X120)
| v1_tsp_2(X121,X120)
| ~ m1_subset_1(X121,k1_zfmisc_1(u1_struct_0(X120)))
| ~ l1_pre_topc(X120) )
& ( X121 != esk5_2(X120,X121)
| ~ v1_tsp_1(X121,X120)
| v1_tsp_2(X121,X120)
| ~ m1_subset_1(X121,k1_zfmisc_1(u1_struct_0(X120)))
| ~ l1_pre_topc(X120) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tsp_2])])])])]) ).
cnf(c_0_19,negated_conjecture,
( u1_pre_topc(esk2_0) = X1
| g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_20,negated_conjecture,
~ v1_tsp_2(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( v1_tsp_1(X1,X2)
| g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ v1_tsp_1(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( v1_tsp_1(X1,X2)
| ~ v1_tsp_2(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
v1_tsp_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
u1_pre_topc(esk2_0) = u1_pre_topc(esk1_0),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
( m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v1_tsp_2(X2,X1)
| ~ 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_18]) ).
cnf(c_0_29,negated_conjecture,
~ v1_tsp_2(esk3_0,esk2_0),
inference(rw,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_30,negated_conjecture,
( v1_tsp_1(esk3_0,esk2_0)
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
| ~ v1_tsp_1(esk3_0,X1)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13]),c_0_14])]) ).
cnf(c_0_31,negated_conjecture,
v1_tsp_1(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_32,plain,
( X1 = X2
| g1_pre_topc(X1,X3) != g1_pre_topc(X2,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(u1_pre_topc(esk1_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_27]),c_0_14])]) ).
cnf(c_0_34,negated_conjecture,
g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)),
inference(rw,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_14])]),c_0_29]) ).
cnf(c_0_36,negated_conjecture,
v1_tsp_1(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_31]),c_0_26])]) ).
cnf(c_0_37,negated_conjecture,
( u1_struct_0(esk2_0) = X1
| g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
( r1_tarski(X1,esk5_2(X2,X1))
| v1_tsp_2(X1,X2)
| ~ v1_tsp_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_41,plain,
( v1_tsp_1(esk5_2(X1,X2),X1)
| v1_tsp_2(X2,X1)
| ~ 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_18]) ).
cnf(c_0_42,plain,
( X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_1(X1,X2)
| ~ r1_tarski(X3,X1)
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43,negated_conjecture,
( r1_tarski(esk3_0,esk5_2(esk2_0,esk3_0))
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_22]),c_0_14])]),c_0_29]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( v1_tsp_1(esk5_2(esk2_0,esk3_0),esk2_0)
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_22]),c_0_14])]),c_0_29]) ).
cnf(c_0_46,negated_conjecture,
( X1 = esk3_0
| ~ r1_tarski(esk3_0,X1)
| ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_47,negated_conjecture,
r1_tarski(esk3_0,esk5_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_36])]) ).
cnf(c_0_48,negated_conjecture,
( v1_tsp_1(esk5_2(esk2_0,esk3_0),esk1_0)
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
| ~ v1_tsp_1(esk5_2(esk2_0,esk3_0),X1)
| ~ m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_44]),c_0_26])]) ).
cnf(c_0_49,negated_conjecture,
v1_tsp_1(esk5_2(esk2_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_36])]) ).
cnf(c_0_50,negated_conjecture,
( esk5_2(esk2_0,esk3_0) = esk3_0
| ~ v1_tsp_1(esk5_2(esk2_0,esk3_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_47])]) ).
cnf(c_0_51,negated_conjecture,
v1_tsp_1(esk5_2(esk2_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_40]),c_0_27]),c_0_49]),c_0_44]),c_0_14])]) ).
cnf(c_0_52,plain,
( v1_tsp_2(X1,X2)
| X1 != esk5_2(X2,X1)
| ~ v1_tsp_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53,negated_conjecture,
esk5_2(esk2_0,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_36]),c_0_40]),c_0_24]),c_0_14])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP023+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.17/0.34 % Computer : n001.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 09:54:33 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 4.32/3.26 % Version : CSE_E---1.7
% 4.32/3.26 % Problem : theBenchmark.p
% 4.32/3.26 % SZS status Theorem for theBenchmark.p
% 4.32/3.26 % SZS output start CNFRefutation
% See solution above
% 4.32/3.27 % Total time : 2.375s
%------------------------------------------------------------------------------