%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT286+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 : n026.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 62.90s 39.15s
% Output : CNFRefutation 63.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 112 ( 4 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 126 ( 48 ~; 42 |; 21 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_lopclset,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)
& v4_pre_topc(X2,X1) )
=> r2_hidden(X2,k1_lopclset(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_lopclset) ).
fof(fc5_pre_topc,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> v4_pre_topc(k2_pre_topc(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',fc5_pre_topc) ).
fof(fc8_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v3_pre_topc(k2_pre_topc(X1),X1)
& v4_pre_topc(k2_pre_topc(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc8_tops_1) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t13_lopclset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(dt_k2_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> m1_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_k2_pre_topc) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_l1_pre_topc) ).
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)))
=> ( ( v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) )
=> r2_hidden(X2,k1_lopclset(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t4_lopclset]) ).
fof(c_0_9,plain,
! [X1214,X1215] :
( v3_struct_0(X1214)
| ~ v2_pre_topc(X1214)
| ~ l1_pre_topc(X1214)
| ~ m1_subset_1(X1215,k1_zfmisc_1(u1_struct_0(X1214)))
| ~ v3_pre_topc(X1215,X1214)
| ~ v4_pre_topc(X1215,X1214)
| r2_hidden(X1215,k1_lopclset(X1214)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_10,plain,
! [X1128] :
( ~ v2_pre_topc(X1128)
| ~ l1_pre_topc(X1128)
| v4_pre_topc(k2_pre_topc(X1128),X1128) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_pre_topc])]) ).
fof(c_0_11,plain,
! [X1152] :
( ( v3_pre_topc(k2_pre_topc(X1152),X1152)
| ~ v2_pre_topc(X1152)
| ~ l1_pre_topc(X1152) )
& ( v4_pre_topc(k2_pre_topc(X1152),X1152)
| ~ v2_pre_topc(X1152)
| ~ l1_pre_topc(X1152) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_tops_1])])]) ).
fof(c_0_12,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_13,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_14,plain,
! [X1681,X1682] :
( ~ r2_hidden(X1681,X1682)
| m1_subset_1(X1681,X1682) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_15,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X2,X1)
| ~ v4_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( v4_pre_topc(k2_pre_topc(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( v3_pre_topc(k2_pre_topc(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,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_12])])]) ).
fof(c_0_19,plain,
! [X1125] :
( v3_struct_0(X1125)
| ~ v2_pre_topc(X1125)
| ~ l1_pre_topc(X1125)
| u1_struct_0(k6_lopclset(X1125)) = k1_lopclset(X1125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_20,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| r2_hidden(k2_pre_topc(X1),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
fof(c_0_22,plain,
! [X1151] :
( ~ l1_struct_0(X1151)
| m1_subset_1(k2_pre_topc(X1151),k1_zfmisc_1(u1_struct_0(X1151))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_pre_topc])]) ).
fof(c_0_23,plain,
! [X1628] :
( ~ l1_pre_topc(X1628)
| l1_struct_0(X1628) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_24,negated_conjecture,
~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,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_19]) ).
cnf(c_0_26,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( m1_subset_1(k2_pre_topc(X1),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
( m1_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,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_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_33,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_29,c_0_30,c_0_31,c_0_32,c_0_28,c_0_26,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT286+3 : 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 : n026.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 : Mon May 4 20:59:55 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 62.90/39.15 % Version : CSE_E---1.7
% 62.90/39.15 % Problem : theBenchmark.p
% 62.90/39.15 % SZS status Theorem for theBenchmark.p
% 62.90/39.15 % SZS output start CNFRefutation
% See solution above
% 63.07/39.37 % Total time : 30.866s
%------------------------------------------------------------------------------