%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT287+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 : n021.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 04:37:55 PM UTC 2026
% Result : Theorem 5.64s 5.20s
% Output : CNFRefutation 5.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 162 ( 8 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 196 ( 74 ~; 62 |; 45 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 36 ( 1 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k1_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_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(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(fc1_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_xboole_0(k1_pre_topc(X1))
& v4_pre_topc(k1_pre_topc(X1),X1)
& v1_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v5_membered(k1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc1_tops_1) ).
fof(fc7_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_xboole_0(k1_pre_topc(X1))
& v3_pre_topc(k1_pre_topc(X1),X1)
& v4_pre_topc(k1_pre_topc(X1),X1)
& v1_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v5_membered(k1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc7_tops_1) ).
fof(d2_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> k1_pre_topc(X1) = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',d2_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(t4_subset_1,axiom,
! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',t4_subset_1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k1_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_lopclset])]) ).
fof(c_0_10,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_11,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ m1_subset_1(k1_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_9])])]) ).
fof(c_0_12,plain,
! [X1255] :
( v3_struct_0(X1255)
| ~ v2_pre_topc(X1255)
| ~ l1_pre_topc(X1255)
| u1_struct_0(k6_lopclset(X1255)) = k1_lopclset(X1255) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
~ m1_subset_1(k1_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,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_12]) ).
cnf(c_0_15,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,plain,
! [X1949,X1950] :
( ~ r2_hidden(X1949,X1950)
| m1_subset_1(X1949,X1950) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_19,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]) ).
cnf(c_0_20,negated_conjecture,
~ m1_subset_1(k1_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_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_21,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,plain,
! [X1581,X1582] :
( v3_struct_0(X1581)
| ~ v2_pre_topc(X1581)
| ~ l1_pre_topc(X1581)
| ~ m1_subset_1(X1582,k1_zfmisc_1(u1_struct_0(X1581)))
| ~ v3_pre_topc(X1582,X1581)
| ~ v4_pre_topc(X1582,X1581)
| r2_hidden(X1582,k1_lopclset(X1581)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_23,negated_conjecture,
~ r2_hidden(k1_pre_topc(esk1_0),k1_lopclset(esk1_0)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,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_22]) ).
fof(c_0_25,plain,
! [X1265] :
( ( v1_xboole_0(k1_pre_topc(X1265))
| ~ v2_pre_topc(X1265)
| ~ l1_pre_topc(X1265) )
& ( v4_pre_topc(k1_pre_topc(X1265),X1265)
| ~ v2_pre_topc(X1265)
| ~ l1_pre_topc(X1265) )
& ( v1_membered(k1_pre_topc(X1265))
| ~ v2_pre_topc(X1265)
| ~ l1_pre_topc(X1265) )
& ( v2_membered(k1_pre_topc(X1265))
| ~ v2_pre_topc(X1265)
| ~ l1_pre_topc(X1265) )
& ( v3_membered(k1_pre_topc(X1265))
| ~ v2_pre_topc(X1265)
| ~ l1_pre_topc(X1265) )
& ( v4_membered(k1_pre_topc(X1265))
| ~ v2_pre_topc(X1265)
| ~ l1_pre_topc(X1265) )
& ( v5_membered(k1_pre_topc(X1265))
| ~ v2_pre_topc(X1265)
| ~ l1_pre_topc(X1265) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_tops_1])])]) ).
cnf(c_0_26,negated_conjecture,
( ~ v3_pre_topc(k1_pre_topc(esk1_0),esk1_0)
| ~ v4_pre_topc(k1_pre_topc(esk1_0),esk1_0)
| ~ m1_subset_1(k1_pre_topc(esk1_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(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_27,plain,
( v4_pre_topc(k1_pre_topc(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_28,plain,
! [X1267] :
( ( v1_xboole_0(k1_pre_topc(X1267))
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) )
& ( v3_pre_topc(k1_pre_topc(X1267),X1267)
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) )
& ( v4_pre_topc(k1_pre_topc(X1267),X1267)
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) )
& ( v1_membered(k1_pre_topc(X1267))
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) )
& ( v2_membered(k1_pre_topc(X1267))
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) )
& ( v3_membered(k1_pre_topc(X1267))
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) )
& ( v4_membered(k1_pre_topc(X1267))
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) )
& ( v5_membered(k1_pre_topc(X1267))
| ~ v2_pre_topc(X1267)
| ~ l1_pre_topc(X1267) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_tops_1])])]) ).
fof(c_0_29,plain,
! [X1259] :
( ~ l1_struct_0(X1259)
| k1_pre_topc(X1259) = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_pre_topc])]) ).
fof(c_0_30,plain,
! [X1825] :
( ~ l1_pre_topc(X1825)
| l1_struct_0(X1825) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_31,negated_conjecture,
( ~ v3_pre_topc(k1_pre_topc(esk1_0),esk1_0)
| ~ m1_subset_1(k1_pre_topc(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_26,c_0_27]),c_0_15]),c_0_16])]) ).
cnf(c_0_32,plain,
( v3_pre_topc(k1_pre_topc(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( k1_pre_topc(X1) = k1_xboole_0
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_35,plain,
! [X1853] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1853)),
inference(variable_rename,[status(thm)],[t4_subset_1]) ).
cnf(c_0_36,negated_conjecture,
~ m1_subset_1(k1_pre_topc(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_31,c_0_32]),c_0_15]),c_0_16])]) ).
cnf(c_0_37,plain,
( k1_pre_topc(X1) = k1_xboole_0
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT287+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
% 0.15/0.32 % Computer : n021.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 21:03:11 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 5.64/5.20 % Version : CSE_E---1.7
% 5.64/5.20 % Problem : theBenchmark.p
% 5.64/5.20 % SZS status Theorem for theBenchmark.p
% 5.64/5.20 % SZS output start CNFRefutation
% See solution above
% 5.64/5.21 % Total time : 4.562s
%------------------------------------------------------------------------------