%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP025+2 : 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 : n016.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 05:56:37 PM UTC 2026
% Result : Theorem 58.61s 34.21s
% Output : CNFRefutation 58.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 24 unt; 0 def)
% Number of atoms : 167 ( 33 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 189 ( 68 ~; 66 |; 31 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_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)
<=> ( v1_tsp_1(X2,X1)
& k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(t7_pcomps_1,axiom,
! [X1] : u1_pre_topc(k2_pcomps_1(X1)) = k1_pcomps_1(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+301.ax',t7_pcomps_1) ).
fof(redefinition_k1_pcomps_1,axiom,
! [X1] : k1_pcomps_1(X1) = k1_zfmisc_1(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+301.ax',redefinition_k1_pcomps_1) ).
fof(t3_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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).
fof(t62_tex_4,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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+405.ax',t62_tex_4) ).
fof(t99_zfmisc_1,axiom,
! [X1] : k3_tarski(k1_zfmisc_1(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t99_zfmisc_1) ).
fof(d2_tex_2,axiom,
! [X1,X2] :
( m1_subset_1(X2,X1)
=> ( v1_tex_2(X2,X1)
<=> X2 != k3_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+387.ax',d2_tex_2) ).
fof(t58_tex_4,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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+405.ax',t58_tex_4) ).
fof(c_0_8,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)
<=> ( v1_tsp_1(X2,X1)
& k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_tsp_2]) ).
fof(c_0_9,plain,
! [X14917] : u1_pre_topc(k2_pcomps_1(X14917)) = k1_pcomps_1(X14917),
inference(variable_rename,[status(thm)],[t7_pcomps_1]) ).
fof(c_0_10,plain,
! [X14919] : k1_pcomps_1(X14919) = k1_zfmisc_1(X14919),
inference(variable_rename,[status(thm)],[redefinition_k1_pcomps_1]) ).
fof(c_0_11,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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t3_tsp_2])]) ).
fof(c_0_12,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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t62_tex_4]) ).
fof(c_0_13,plain,
! [X7777,X7778] :
( ( v1_tsp_1(X7778,X7777)
| ~ v1_tsp_2(X7778,X7777)
| ~ m1_subset_1(X7778,k1_zfmisc_1(u1_struct_0(X7777)))
| v3_struct_0(X7777)
| ~ v2_pre_topc(X7777)
| ~ l1_pre_topc(X7777) )
& ( k3_tex_4(X7777,X7778) = u1_struct_0(X7777)
| ~ v1_tsp_2(X7778,X7777)
| ~ m1_subset_1(X7778,k1_zfmisc_1(u1_struct_0(X7777)))
| v3_struct_0(X7777)
| ~ v2_pre_topc(X7777)
| ~ l1_pre_topc(X7777) )
& ( ~ v1_tsp_1(X7778,X7777)
| k3_tex_4(X7777,X7778) != u1_struct_0(X7777)
| v1_tsp_2(X7778,X7777)
| ~ m1_subset_1(X7778,k1_zfmisc_1(u1_struct_0(X7777)))
| v3_struct_0(X7777)
| ~ v2_pre_topc(X7777)
| ~ l1_pre_topc(X7777) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_14,plain,
u1_pre_topc(k2_pcomps_1(X1)) = k1_pcomps_1(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
k1_pcomps_1(X1) = k1_zfmisc_1(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,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)))
& ( v3_pre_topc(esk2_0,esk1_0)
| v4_pre_topc(esk2_0,esk1_0) )
& v1_tsp_2(esk2_0,esk1_0)
& v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_17,plain,
! [X8854] : k3_tarski(k1_zfmisc_1(X8854)) = X8854,
inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).
fof(c_0_18,plain,
! [X8052,X8053] :
( v3_struct_0(X8052)
| ~ v2_pre_topc(X8052)
| ~ l1_pre_topc(X8052)
| ~ m1_subset_1(X8053,k1_zfmisc_1(u1_struct_0(X8052)))
| ~ v4_pre_topc(X8053,X8052)
| k3_tex_4(X8052,X8053) = X8053 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_19,plain,
( k3_tex_4(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(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_13]) ).
cnf(c_0_20,plain,
u1_pre_topc(k2_pcomps_1(X1)) = k1_zfmisc_1(X1),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X7636,X7637] :
( ( ~ v1_tex_2(X7637,X7636)
| X7637 != k3_tarski(X7636)
| ~ m1_subset_1(X7637,X7636) )
& ( X7637 = k3_tarski(X7636)
| v1_tex_2(X7637,X7636)
| ~ m1_subset_1(X7637,X7636) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tex_2])])]) ).
cnf(c_0_23,negated_conjecture,
v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
k3_tarski(k1_zfmisc_1(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_25,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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t58_tex_4]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = X2
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( k3_tex_4(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X1)))) ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk2_0,u1_pre_topc(k2_pcomps_1(u1_struct_0(esk1_0)))),
inference(rw,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_29,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
( ~ v1_tex_2(X1,X2)
| X1 != k3_tarski(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
v1_tex_2(esk2_0,u1_pre_topc(k2_pcomps_1(u1_struct_0(esk1_0)))),
inference(rw,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_35,plain,
k3_tarski(u1_pre_topc(k2_pcomps_1(X1))) = X1,
inference(rw,[status(thm)],[c_0_24,c_0_20]) ).
fof(c_0_36,plain,
! [X8304,X8305] :
( v3_struct_0(X8304)
| ~ v2_pre_topc(X8304)
| ~ l1_pre_topc(X8304)
| ~ m1_subset_1(X8305,k1_zfmisc_1(u1_struct_0(X8304)))
| ~ v3_pre_topc(X8305,X8304)
| k3_tex_4(X8304,X8305) = X8305 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_37,plain,
( k3_tex_4(X1,X2) = X2
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v4_pre_topc(X2,X1)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X1)))) ),
inference(rw,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_38,negated_conjecture,
k3_tex_4(esk1_0,esk2_0) = 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(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_39,negated_conjecture,
u1_struct_0(esk1_0) != esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_28])]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = X2
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( v3_pre_topc(esk2_0,esk1_0)
| v4_pre_topc(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,negated_conjecture,
~ v4_pre_topc(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[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_28]),c_0_30]),c_0_31])]),c_0_32]),c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
( k3_tex_4(X1,X2) = X2
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X2,X1)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X1)))) ),
inference(rw,[status(thm)],[c_0_40,c_0_20]) ).
cnf(c_0_44,negated_conjecture,
v3_pre_topc(esk2_0,esk1_0),
inference(sr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_28]),c_0_30]),c_0_31])]),c_0_32]),c_0_38]),c_0_44])]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP025+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n016.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 09:55:06 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 58.61/34.21 % Version : CSE_E---1.7
% 58.61/34.21 % Problem : theBenchmark.p
% 58.61/34.21 % SZS status Theorem for theBenchmark.p
% 58.61/34.21 % SZS output start CNFRefutation
% See solution above
% 58.81/34.40 % Total time : 26.686s
%------------------------------------------------------------------------------