%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP027+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 : 600s
% DateTime : Thu Jul 21 21:25:29 EDT 2022
% Result : Theorem 0.44s 1.62s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 130 ( 18 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 153 ( 59 ~; 55 |; 20 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_tsp_2) ).
fof(dt_k3_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',dt_k3_tex_4) ).
fof(dt_k1_tops_1,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',dt_k1_tops_1) ).
fof(t59_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)))
=> k3_tex_4(X1,k1_tops_1(X1,X2)) = k1_tops_1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t59_tex_4) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).
fof(t6_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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_tsp_2) ).
fof(fc6_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v3_pre_topc(k1_tops_1(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc6_tops_1) ).
fof(c_0_7,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)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
inference(assume_negation,[status(cth)],[t8_tsp_2]) ).
fof(c_0_8,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k3_tex_4(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_tex_4])])]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k1_tops_1(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k3_tex_4(X3,k1_tops_1(X3,X4)) = k1_tops_1(X3,X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t59_tex_4])])])])])]) ).
fof(c_0_11,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)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])]) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
cnf(c_0_13,plain,
( m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_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_8]) ).
cnf(c_0_14,plain,
( m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(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_9]) ).
cnf(c_0_15,plain,
( k3_tex_4(X1,k1_tops_1(X1,X2)) = k1_tops_1(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v1_tsp_2(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v3_pre_topc(X6,X4)
| X6 = k3_tex_4(X4,k5_subset_1(u1_struct_0(X4),X5,X6)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t6_tsp_2])])])])])]) ).
cnf(c_0_21,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_tex_4(X1,k1_tops_1(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(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_23,negated_conjecture,
k3_tex_4(esk1_0,k1_tops_1(esk1_0,esk3_0)) = k1_tops_1(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_24,plain,
( X1 = k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1))
| v3_struct_0(X2)
| ~ v3_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_pre_topc(k1_tops_1(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])]) ).
cnf(c_0_28,negated_conjecture,
k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,plain,
( k5_subset_1(X1,X2,X3) = k5_subset_1(X4,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(X4)) ),
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(k1_tops_1(esk1_0,esk3_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_22,c_0_16]),c_0_23]),c_0_18])]),c_0_19]) ).
cnf(c_0_31,negated_conjecture,
( k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,X1)) = X1
| ~ v3_pre_topc(X1,esk1_0)
| ~ m1_subset_1(X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_17]),c_0_18]),c_0_26])]),c_0_19]) ).
cnf(c_0_32,plain,
( v3_pre_topc(k1_tops_1(X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( k3_tex_4(esk1_0,k5_subset_1(X1,esk2_0,k1_tops_1(esk1_0,esk3_0))) != k1_tops_1(esk1_0,esk3_0)
| ~ m1_subset_1(k1_tops_1(esk1_0,esk3_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_26])]) ).
cnf(c_0_34,negated_conjecture,
( k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(esk1_0,X1))) = k1_tops_1(esk1_0,X1)
| ~ m1_subset_1(k1_tops_1(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,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_17]),c_0_18])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30]),c_0_26]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP027+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun May 29 04:25:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.44/1.62 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.44/1.62 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.44/1.62 # Preprocessing time : 0.091 s
% 0.44/1.62
% 0.44/1.62 # Proof found!
% 0.44/1.62 # SZS status Theorem
% 0.44/1.62 # SZS output start CNFRefutation
% See solution above
% 0.44/1.62 # Proof object total steps : 36
% 0.44/1.62 # Proof object clause steps : 21
% 0.44/1.62 # Proof object formula steps : 15
% 0.44/1.62 # Proof object conjectures : 16
% 0.44/1.62 # Proof object clause conjectures : 13
% 0.44/1.62 # Proof object formula conjectures : 3
% 0.44/1.62 # Proof object initial clauses used : 13
% 0.44/1.62 # Proof object initial formulas used : 7
% 0.44/1.62 # Proof object generating inferences : 8
% 0.44/1.62 # Proof object simplifying inferences : 23
% 0.44/1.62 # Training examples: 0 positive, 0 negative
% 0.44/1.62 # Parsed axioms : 3589
% 0.44/1.62 # Removed by relevancy pruning/SinE : 3488
% 0.44/1.62 # Initial clauses : 169
% 0.44/1.62 # Removed in clause preprocessing : 0
% 0.44/1.62 # Initial clauses in saturation : 169
% 0.44/1.62 # Processed clauses : 4054
% 0.44/1.62 # ...of these trivial : 125
% 0.44/1.62 # ...subsumed : 2683
% 0.44/1.62 # ...remaining for further processing : 1246
% 0.44/1.62 # Other redundant clauses eliminated : 4
% 0.44/1.62 # Clauses deleted for lack of memory : 0
% 0.44/1.62 # Backward-subsumed : 41
% 0.44/1.62 # Backward-rewritten : 65
% 0.44/1.62 # Generated clauses : 24855
% 0.44/1.62 # ...of the previous two non-trivial : 19046
% 0.44/1.62 # Contextual simplify-reflections : 3362
% 0.44/1.62 # Paramodulations : 24842
% 0.44/1.62 # Factorizations : 0
% 0.44/1.62 # Equation resolutions : 13
% 0.44/1.62 # Current number of processed clauses : 1136
% 0.44/1.62 # Positive orientable unit clauses : 230
% 0.44/1.62 # Positive unorientable unit clauses: 0
% 0.44/1.62 # Negative unit clauses : 15
% 0.44/1.62 # Non-unit-clauses : 891
% 0.44/1.62 # Current number of unprocessed clauses: 13671
% 0.44/1.62 # ...number of literals in the above : 73686
% 0.44/1.62 # Current number of archived formulas : 0
% 0.44/1.62 # Current number of archived clauses : 106
% 0.44/1.62 # Clause-clause subsumption calls (NU) : 309020
% 0.44/1.62 # Rec. Clause-clause subsumption calls : 123805
% 0.44/1.62 # Non-unit clause-clause subsumptions : 5804
% 0.44/1.62 # Unit Clause-clause subsumption calls : 3153
% 0.44/1.62 # Rewrite failures with RHS unbound : 0
% 0.44/1.62 # BW rewrite match attempts : 4113
% 0.44/1.62 # BW rewrite match successes : 31
% 0.44/1.62 # Condensation attempts : 0
% 0.44/1.62 # Condensation successes : 0
% 0.44/1.62 # Termbank termtop insertions : 1017096
% 0.44/1.62
% 0.44/1.62 # -------------------------------------------------
% 0.44/1.62 # User time : 0.709 s
% 0.44/1.62 # System time : 0.013 s
% 0.44/1.62 # Total time : 0.722 s
% 0.44/1.62 # Maximum resident set size: 24012 pages
%------------------------------------------------------------------------------