%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP024+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 : n031.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 11.40s 10.42s
% Output : CNFRefutation 11.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 19 unt; 0 def)
% Number of atoms : 195 ( 26 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 237 ( 92 ~; 78 |; 40 &)
% ( 6 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 1 sgn 45 !; 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(t2_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)
=> v1_tops_1(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(t64_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)))
=> k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+405.ax',t64_tex_4) ).
fof(t5_tex_2,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_tex_2(X2,k1_zfmisc_1(X1))
<=> X2 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+387.ax',t5_tex_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(d2_tops_3,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tops_1(X2,X1)
<=> k6_pre_topc(X1,X2) = u1_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+370.ax',d2_tops_3) ).
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(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(fc3_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ~ v1_xboole_0(k6_pre_topc(X1,X2))
& v4_pre_topc(k6_pre_topc(X1,X2),X1)
& ~ v1_tex_2(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+405.ax',fc3_tex_4) ).
fof(c_0_10,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_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)))
=> ( v1_tsp_2(X2,X1)
=> v1_tops_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t2_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)))
=> k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t64_tex_4]) ).
fof(c_0_13,plain,
! [X1465,X1466] :
( ( v1_tsp_1(X1466,X1465)
| ~ v1_tsp_2(X1466,X1465)
| ~ m1_subset_1(X1466,k1_zfmisc_1(u1_struct_0(X1465)))
| v3_struct_0(X1465)
| ~ v2_pre_topc(X1465)
| ~ l1_pre_topc(X1465) )
& ( k3_tex_4(X1465,X1466) = u1_struct_0(X1465)
| ~ v1_tsp_2(X1466,X1465)
| ~ m1_subset_1(X1466,k1_zfmisc_1(u1_struct_0(X1465)))
| v3_struct_0(X1465)
| ~ v2_pre_topc(X1465)
| ~ l1_pre_topc(X1465) )
& ( ~ v1_tsp_1(X1466,X1465)
| k3_tex_4(X1465,X1466) != u1_struct_0(X1465)
| v1_tsp_2(X1466,X1465)
| ~ m1_subset_1(X1466,k1_zfmisc_1(u1_struct_0(X1465)))
| v3_struct_0(X1465)
| ~ v2_pre_topc(X1465)
| ~ l1_pre_topc(X1465) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_14,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)
& ~ v1_tops_1(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_15,plain,
! [X2602,X2603] :
( ( ~ v1_tex_2(X2603,k1_zfmisc_1(X2602))
| X2603 != X2602
| ~ m1_subset_1(X2603,k1_zfmisc_1(X2602)) )
& ( X2603 = X2602
| v1_tex_2(X2603,k1_zfmisc_1(X2602))
| ~ m1_subset_1(X2603,k1_zfmisc_1(X2602)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tex_2])])]) ).
fof(c_0_16,plain,
! [X1816,X1817] :
( ( ~ m1_subset_1(X1816,k1_zfmisc_1(X1817))
| r1_tarski(X1816,X1817) )
& ( ~ r1_tarski(X1816,X1817)
| m1_subset_1(X1816,k1_zfmisc_1(X1817)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_17,plain,
! [X1793] : r1_tarski(X1793,X1793),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_18,plain,
! [X2762,X2763] :
( v3_struct_0(X2762)
| ~ v2_pre_topc(X2762)
| ~ l1_pre_topc(X2762)
| ~ m1_subset_1(X2763,k1_zfmisc_1(u1_struct_0(X2762)))
| k6_pre_topc(X2762,k3_tex_4(X2762,X2763)) = k6_pre_topc(X2762,X2763) ),
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,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,plain,
( ~ v1_tex_2(X1,k1_zfmisc_1(X2))
| X1 != X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_28,plain,
! [X1397,X1398] :
( ( ~ v1_tops_1(X1398,X1397)
| k6_pre_topc(X1397,X1398) = u1_struct_0(X1397)
| ~ m1_subset_1(X1398,k1_zfmisc_1(u1_struct_0(X1397)))
| ~ l1_pre_topc(X1397) )
& ( k6_pre_topc(X1397,X1398) != u1_struct_0(X1397)
| v1_tops_1(X1398,X1397)
| ~ m1_subset_1(X1398,k1_zfmisc_1(u1_struct_0(X1397)))
| ~ l1_pre_topc(X1397) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tops_3])])])]) ).
fof(c_0_29,plain,
! [X1742,X1743] :
( ~ l1_pre_topc(X1742)
| ~ m1_subset_1(X1743,k1_zfmisc_1(u1_struct_0(X1742)))
| m1_subset_1(k6_pre_topc(X1742,X1743),k1_zfmisc_1(u1_struct_0(X1742))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2)
| ~ 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_18]) ).
cnf(c_0_31,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_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
fof(c_0_32,plain,
! [X2600,X2601] :
( ( ~ v1_tex_2(X2601,X2600)
| X2601 != k3_tarski(X2600)
| ~ m1_subset_1(X2601,X2600) )
& ( X2601 = k3_tarski(X2600)
| v1_tex_2(X2601,X2600)
| ~ m1_subset_1(X2601,X2600) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tex_2])])]) ).
cnf(c_0_33,plain,
( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
~ v1_tops_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,plain,
( v1_tops_1(X2,X1)
| k6_pre_topc(X1,X2) != u1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_37,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ~ v1_xboole_0(k6_pre_topc(X1,X2))
& v4_pre_topc(k6_pre_topc(X1,X2),X1)
& ~ v1_tex_2(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc3_tex_4]) ).
cnf(c_0_38,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_29]) ).
cnf(c_0_39,negated_conjecture,
k6_pre_topc(esk1_0,esk2_0) = k6_pre_topc(esk1_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_30,c_0_31]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_40,plain,
( X1 = k3_tarski(X2)
| v1_tex_2(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
~ v1_tex_2(X1,k1_zfmisc_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
k6_pre_topc(esk1_0,esk2_0) != u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22]),c_0_23])]) ).
fof(c_0_43,plain,
! [X2622,X2623] :
( ( ~ v1_xboole_0(k6_pre_topc(X2622,X2623))
| v3_struct_0(X2622)
| ~ v2_pre_topc(X2622)
| ~ l1_pre_topc(X2622)
| v1_tex_2(X2623,k1_zfmisc_1(u1_struct_0(X2622)))
| ~ m1_subset_1(X2623,k1_zfmisc_1(u1_struct_0(X2622))) )
& ( v4_pre_topc(k6_pre_topc(X2622,X2623),X2622)
| v3_struct_0(X2622)
| ~ v2_pre_topc(X2622)
| ~ l1_pre_topc(X2622)
| v1_tex_2(X2623,k1_zfmisc_1(u1_struct_0(X2622)))
| ~ m1_subset_1(X2623,k1_zfmisc_1(u1_struct_0(X2622))) )
& ( ~ v1_tex_2(k6_pre_topc(X2622,X2623),k1_zfmisc_1(u1_struct_0(X2622)))
| v3_struct_0(X2622)
| ~ v2_pre_topc(X2622)
| ~ l1_pre_topc(X2622)
| v1_tex_2(X2623,k1_zfmisc_1(u1_struct_0(X2622)))
| ~ m1_subset_1(X2623,k1_zfmisc_1(u1_struct_0(X2622))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(k6_pre_topc(esk1_0,u1_struct_0(esk1_0)),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_38,c_0_39]),c_0_22]),c_0_23])]) ).
cnf(c_0_45,plain,
k3_tarski(k1_zfmisc_1(X1)) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
k6_pre_topc(esk1_0,u1_struct_0(esk1_0)) != u1_struct_0(esk1_0),
inference(rw,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tex_2(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(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_43]) ).
cnf(c_0_48,negated_conjecture,
v1_tex_2(k6_pre_topc(esk1_0,u1_struct_0(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_47,c_0_48]),c_0_21]),c_0_22]),c_0_34])]),c_0_41]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : TOP024+3 : TPTP v9.2.1. Released v3.4.0.
% 0.10/0.14 % 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
% 0.16/0.36 % Computer : n031.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue May 5 09:56:40 EDT 2026
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % start to proof: theBenchmark
% 11.40/10.42 % Version : CSE_E---1.7
% 11.40/10.42 % Problem : theBenchmark.p
% 11.40/10.42 % SZS status Theorem for theBenchmark.p
% 11.40/10.42 % SZS output start CNFRefutation
% See solution above
% 11.40/10.43 % Total time : 9.694s
%------------------------------------------------------------------------------