%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP027+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %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 : 300s
% DateTime : Tue May 5 05:56:38 PM UTC 2026
% Result : Theorem 13.54s 11.34s
% Output : CNFRefutation 13.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 85 ( 8 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 96 ( 34 ~; 25 |; 17 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_tsp_2) ).
fof(t6_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_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_tsp_2) ).
fof(fc6_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v3_pre_topc(k1_tops_1(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc6_tops_1) ).
fof(dt_k1_tops_1,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',dt_k1_tops_1) ).
fof(c_0_4,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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_tsp_2])]) ).
fof(c_0_5,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_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t6_tsp_2]) ).
fof(c_0_6,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X1998,X1999,X2000] :
( v3_struct_0(X1998)
| ~ v2_pre_topc(X1998)
| ~ l1_pre_topc(X1998)
| ~ m1_subset_1(X1999,k1_zfmisc_1(u1_struct_0(X1998)))
| ~ v1_tsp_2(X1999,X1998)
| ~ m1_subset_1(X2000,k1_zfmisc_1(u1_struct_0(X1998)))
| ~ v3_pre_topc(X2000,X1998)
| X2000 = k3_tex_4(X1998,k5_subset_1(u1_struct_0(X1998),X1999,X2000)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,negated_conjecture,
k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( v3_struct_0(X1)
| X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_15,plain,
! [X1872,X1873] :
( ~ v2_pre_topc(X1872)
| ~ l1_pre_topc(X1872)
| ~ m1_subset_1(X1873,k1_zfmisc_1(u1_struct_0(X1872)))
| v3_pre_topc(k1_tops_1(X1872,X1873),X1872) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])]) ).
cnf(c_0_16,negated_conjecture,
( ~ v3_pre_topc(k1_tops_1(esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k1_tops_1(esk1_0,esk3_0),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_17,plain,
( v3_pre_topc(k1_tops_1(X1,X2),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_19,plain,
! [X1908,X1909] :
( ~ l1_pre_topc(X1908)
| ~ m1_subset_1(X1909,k1_zfmisc_1(u1_struct_0(X1908)))
| m1_subset_1(k1_tops_1(X1908,X1909),k1_zfmisc_1(u1_struct_0(X1908))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).
cnf(c_0_20,negated_conjecture,
~ m1_subset_1(k1_tops_1(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]),c_0_12]),c_0_18])]) ).
cnf(c_0_21,plain,
( m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : TOP027+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.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 04:55:42 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 13.54/11.34 % Version : CSE_E---1.7
% 13.54/11.34 % Problem : theBenchmark.p
% 13.54/11.34 % SZS status Theorem for theBenchmark.p
% 13.54/11.34 % SZS output start CNFRefutation
% See solution above
% 13.54/11.35 % Total time : 10.558s
%------------------------------------------------------------------------------