%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP026+4 : 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 : n027.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 57.99s 55.92s
% Output : CNFRefutation 57.99s
% 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(t7_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)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(t5_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)))
=> ( v4_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',t5_tsp_2) ).
fof(fc2_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v4_pre_topc(k6_pre_topc(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc2_tops_1) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).
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)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_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)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_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)))
& k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(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,
! [X2032,X2033,X2034] :
( v3_struct_0(X2032)
| ~ v2_pre_topc(X2032)
| ~ l1_pre_topc(X2032)
| ~ m1_subset_1(X2033,k1_zfmisc_1(u1_struct_0(X2032)))
| ~ v1_tsp_2(X2033,X2032)
| ~ m1_subset_1(X2034,k1_zfmisc_1(u1_struct_0(X2032)))
| ~ v4_pre_topc(X2034,X2032)
| X2034 = k3_tex_4(X2032,k5_subset_1(u1_struct_0(X2032),X2033,X2034)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,negated_conjecture,
k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(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)))
| ~ v4_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,
! [X2666,X2667] :
( ~ v2_pre_topc(X2666)
| ~ l1_pre_topc(X2666)
| ~ m1_subset_1(X2667,k1_zfmisc_1(u1_struct_0(X2666)))
| v4_pre_topc(k6_pre_topc(X2666,X2667),X2666) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])]) ).
cnf(c_0_16,negated_conjecture,
( ~ v4_pre_topc(k6_pre_topc(esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_pre_topc(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,
( v4_pre_topc(k6_pre_topc(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,
! [X1956,X1957] :
( ~ l1_pre_topc(X1956)
| ~ m1_subset_1(X1957,k1_zfmisc_1(u1_struct_0(X1956)))
| m1_subset_1(k6_pre_topc(X1956,X1957),k1_zfmisc_1(u1_struct_0(X1956))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
cnf(c_0_20,negated_conjecture,
~ m1_subset_1(k6_pre_topc(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(k6_pre_topc(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
% 0.11/0.14 % Problem : TOP026+4 : TPTP v9.2.1. Released v3.4.0.
% 0.11/0.14 % 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
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue May 5 09:56:40 EDT 2026
% 0.15/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 57.99/55.92 % Version : CSE_E---1.7
% 57.99/55.92 % Problem : theBenchmark.p
% 57.99/55.92 % SZS status Theorem for theBenchmark.p
% 57.99/55.92 % SZS output start CNFRefutation
% See solution above
% 57.99/55.93 % Total time : 55.099s
%------------------------------------------------------------------------------