%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT286+4 : 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 : n019.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 04:37:54 PM UTC 2026
% Result : Theorem 42.75s 40.39s
% Output : CNFRefutation 42.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 111 ( 4 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 127 ( 50 ~; 37 |; 26 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 1 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_lopclset) ).
fof(t13_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_lopclset) ).
fof(redefinition_m2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( m2_subset_1(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_m2_subset_1) ).
fof(t8_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_lopclset) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',fc1_subset_1) ).
fof(dt_k1_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(fc1_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ~ v1_xboole_0(k1_lopclset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lopclset) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t15_lopclset])]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[t13_lopclset]) ).
fof(c_0_9,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( m2_subset_1(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_subset_1]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[t8_lopclset]) ).
fof(c_0_11,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k1_lopclset]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ~ v1_xboole_0(k1_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_lopclset]) ).
fof(c_0_14,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_15,plain,
! [X1352] :
( v3_struct_0(X1352)
| ~ v2_pre_topc(X1352)
| ~ l1_pre_topc(X1352)
| u1_struct_0(k6_lopclset(X1352)) = k1_lopclset(X1352) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_16,plain,
! [X2096,X2097,X2098] :
( ( ~ m2_subset_1(X2098,X2096,X2097)
| m1_subset_1(X2098,X2097)
| v1_xboole_0(X2096)
| v1_xboole_0(X2097)
| ~ m1_subset_1(X2097,k1_zfmisc_1(X2096)) )
& ( ~ m1_subset_1(X2098,X2097)
| m2_subset_1(X2098,X2096,X2097)
| v1_xboole_0(X2096)
| v1_xboole_0(X2097)
| ~ m1_subset_1(X2097,k1_zfmisc_1(X2096)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_17,plain,
! [X1451] :
( v3_struct_0(X1451)
| ~ v2_pre_topc(X1451)
| ~ l1_pre_topc(X1451)
| m2_subset_1(k2_pre_topc(X1451),k1_zfmisc_1(u1_struct_0(X1451)),k1_lopclset(X1451)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_18,plain,
! [X2078] : ~ v1_xboole_0(k1_zfmisc_1(X2078)),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
! [X1442] :
( v3_struct_0(X1442)
| ~ l1_pre_topc(X1442)
| m1_subset_1(k1_lopclset(X1442),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1442)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_20,plain,
! [X1443] :
( v3_struct_0(X1443)
| ~ v2_pre_topc(X1443)
| ~ l1_pre_topc(X1443)
| ~ v1_xboole_0(k1_lopclset(X1443)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_21,negated_conjecture,
~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,plain,
( m1_subset_1(X1,X3)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m2_subset_1(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(k1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
~ m1_subset_1(k2_pre_topc(esk1_0),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_32,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_pre_topc(X1),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT286+4 : 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
% 0.15/0.32 % Computer : n019.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 21:00:04 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 42.75/40.39 % Version : CSE_E---1.7
% 42.75/40.39 % Problem : theBenchmark.p
% 42.75/40.39 % SZS status Theorem for theBenchmark.p
% 42.75/40.39 % SZS output start CNFRefutation
% See solution above
% 42.85/40.40 % Total time : 39.401s
%------------------------------------------------------------------------------