%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP027+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:53:52 PM UTC 2026
% Result : Theorem 150.58s 33.23s
% Output : CNFRefutation 150.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 92 ( 9 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 104 ( 36 ~; 25 |; 19 &)
% ( 0 <=>; 24 =>; 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 : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_tsp_2,conjecture,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(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/sandbox2/benchmark/theBenchmark.p',t8_tsp_2) ).
fof(t6_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(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/sandbox2/benchmark/theBenchmark.p',t6_tsp_2) ).
fof(dt_k1_tops_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_pre_topc(X1) )
=> m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',dt_k1_tops_1) ).
fof(fc6_tops_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_pre_topc(X1)
& v2_pre_topc(X1) )
=> v3_pre_topc(k1_tops_1(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc6_tops_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(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_5,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(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(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(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)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t6_tsp_2]) ).
fof(c_0_7,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)))
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& l1_pre_topc(esk1_0)
& v2_pre_topc(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X309,X310,X311] :
( X311 = k3_tex_4(X309,k5_subset_1(u1_struct_0(X309),X310,X311))
| ~ v3_pre_topc(X311,X309)
| ~ m1_subset_1(X311,k1_zfmisc_1(u1_struct_0(X309)))
| ~ v1_tsp_2(X310,X309)
| ~ m1_subset_1(X310,k1_zfmisc_1(u1_struct_0(X309)))
| ~ l1_pre_topc(X309)
| ~ v2_pre_topc(X309)
| v3_struct_0(X309) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_9,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_7]) ).
cnf(c_0_10,plain,
( ~ v3_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X166,X167] :
( m1_subset_1(k1_tops_1(X166,X167),k1_zfmisc_1(u1_struct_0(X166)))
| ~ m1_subset_1(X167,k1_zfmisc_1(u1_struct_0(X166)))
| ~ l1_pre_topc(X166) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ m1_subset_1(k1_tops_1(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v3_pre_topc(k1_tops_1(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_18,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_20,plain,
! [X131,X132] :
( v3_pre_topc(k1_tops_1(X131,X132),X131)
| ~ m1_subset_1(X132,k1_zfmisc_1(u1_struct_0(X131)))
| ~ l1_pre_topc(X131)
| ~ v2_pre_topc(X131) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])])]) ).
cnf(c_0_21,negated_conjecture,
~ v3_pre_topc(k1_tops_1(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_13]),c_0_19])]) ).
cnf(c_0_22,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_pre_topc(k1_tops_1(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,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_21,c_0_22]),c_0_12]),c_0_13]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP027+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:46:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 150.58/33.23 % Version: 3.5.1
% 150.58/33.23 % Preprocessing class: FMLLMLLLSSSNFFN.
% 150.58/33.23 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 150.58/33.23 % Starting new_bool_3 with 897s (3) cores
% 150.58/33.23 % Starting new_bool_1 with 897s (3) cores
% 150.58/33.23 % Starting sh5l with 299s (1) cores
% 150.58/33.23 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 150.58/33.23 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 3134177 completed with status 0
% 150.58/33.23 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 150.58/33.23 % Preprocessing class: FMLLMLLLSSSNFFN.
% 150.58/33.23 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 150.58/33.23 % Starting new_bool_3 with 897s (3) cores
% 150.58/33.23 % Starting new_bool_1 with 897s (3) cores
% 150.58/33.23 % Starting sh5l with 299s (1) cores
% 150.58/33.23 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 150.58/33.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 150.58/33.23 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 150.58/33.23 % Search class: FGHSM-SMLM31-DFFFFFNN
% 150.58/33.23 % Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 150.58/33.23 % Starting SubtermCWHack with 27s (1) cores
% 150.58/33.23 % SubtermCWHack with pid 3134178 completed with status 8
% 150.58/33.23 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 150.58/33.23 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 3134652 completed with status 0
% 150.58/33.23 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 150.58/33.23 % Preprocessing class: FMLLMLLLSSSNFFN.
% 150.58/33.23 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 150.58/33.23 % Starting new_bool_3 with 897s (3) cores
% 150.58/33.23 % Starting new_bool_1 with 897s (3) cores
% 150.58/33.23 % Starting sh5l with 299s (1) cores
% 150.58/33.23 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 150.58/33.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 150.58/33.23 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 150.58/33.23 % Search class: FGHSM-SMLM31-DFFFFFNN
% 150.58/33.23 % Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 150.58/33.23 % Starting SubtermCWHack with 27s (1) cores
% 150.58/33.23 % SubtermCWHack with pid 3134178 completed with status 8
% 150.58/33.23 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 150.58/33.23 % Preprocessing time : 0.110 s
% 150.58/33.23
% 150.58/33.23 % Proof found!
% 150.58/33.23 % SZS status Theorem
% 150.58/33.23 % SZS output start CNFRefutation
% See solution above
% 150.58/33.23 % Parsed axioms : 34388
% 150.58/33.23 % Removed by relevancy pruning/SinE : 33680
% 150.58/33.23 % Initial clauses : 1708
% 150.58/33.23 % Removed in clause preprocessing : 51
% 150.58/33.23 % Initial clauses in saturation : 1657
% 150.58/33.23 % Processed clauses : 1707
% 150.58/33.23 % ...of these trivial : 19
% 150.58/33.23 % ...subsumed : 109
% 150.58/33.23 % ...remaining for further processing : 1579
% 150.58/33.23 % Other redundant clauses eliminated : 150
% 150.58/33.23 % Clauses deleted for lack of memory : 0
% 150.58/33.23 % Backward-subsumed : 3
% 150.58/33.23 % Backward-rewritten : 12
% 150.58/33.23 % Generated clauses : 39450
% 150.58/33.23 % ...of the previous two non-redundant : 38323
% 150.58/33.23 % ...aggressively subsumed : 0
% 150.58/33.23 % Contextual simplify-reflections : 140
% 150.58/33.23 % Paramodulations : 39283
% 150.58/33.23 % Factorizations : 6
% 150.58/33.23 % NegExts : 0
% 150.58/33.23 % Equation resolutions : 162
% 150.58/33.23 % Disequality decompositions : 0
% 150.58/33.23 % Total rewrite steps : 2906
% 150.58/33.23 % ...of those cached : 2425
% 150.58/33.23 % Propositional unsat checks : 0
% 150.58/33.23 % Propositional check models : 0
% 150.58/33.23 % Propositional check unsatisfiable : 0
% 150.58/33.23 % Propositional clauses : 0
% 150.58/33.23 % Propositional clauses after purity: 0
% 150.58/33.23 % Propositional unsat core size : 0
% 150.58/33.23 % Propositional preprocessing time : 0.000
% 150.58/33.23 % Propositional encoding time : 0.000
% 150.58/33.23 % Propositional solver time : 0.000
% 150.58/33.23 % Success case prop preproc time : 0.000
% 150.58/33.23 % Success case prop encoding time : 0.000
% 150.58/33.23 % Success case prop solver time : 0.000
% 150.58/33.23 % Current number of processed clauses : 1465
% 150.58/33.23 % Positive orientable unit clauses : 112
% 150.58/33.23 % Positive unorientable unit clauses: 2
% 150.58/33.23 % Negative unit clauses : 30
% 150.58/33.23 % Non-unit-clauses : 1321
% 150.58/33.23 % Current number of unprocessed clauses: 38272
% 150.58/33.23 % ...number of literals in the above : 236381
% 150.58/33.23 % Current number of archived formulas : 0
% 150.58/33.23 % Current number of archived clauses : 16
% 150.58/33.23 % Clause-clause subsumption calls (NU) : 1169362
% 150.58/33.23 % Rec. Clause-clause subsumption calls : 95343
% 150.58/33.23 % Non-unit clause-clause subsumptions : 234
% 150.58/33.23 % Unit Clause-clause subsumption calls : 9657
% 150.58/33.23 % Rewrite failures with RHS unbound : 0
% 150.58/33.23 % BW rewrite match attempts : 48
% 150.58/33.23 % BW rewrite match successes : 26
% 150.58/33.23 % Condensation attempts : 0
% 150.58/33.23 % Condensation successes : 0
% 150.58/33.23 % Termbank termtop insertions : 1938553
% 150.58/33.23 % Search garbage collected termcells : 364122
% 150.58/33.23
% 150.58/33.23 % -------------------------------------------------
% 150.58/33.23 % User time : 29.741 s
% 150.58/33.23 % System time : 0.681 s
% 150.58/33.23 % Total time : 30.422 s
% 150.58/33.23 % Maximum resident set size: 69548 pages
% 150.58/33.23
% 150.58/33.23 % -------------------------------------------------
% 150.58/33.23 % User time : 31.492 s
% 150.58/33.23 % System time : 0.797 s
% 150.58/33.23 % Total time : 32.290 s
% 150.58/33.23 % Maximum resident set size: 56832 pages
% 150.58/33.23 % E exiting
%------------------------------------------------------------------------------