%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : TOP026+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 03:54:14 PM UTC 2026
% Result : Theorem 135.24s 22.63s
% Output : CNFRefutation 135.24s
% 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(t7_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)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(t5_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)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_2) ).
fof(fc2_tops_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_pre_topc(X1)
& v2_pre_topc(X1) )
=> v4_pre_topc(k6_pre_topc(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc2_tops_1) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_pre_topc(X1) )
=> m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).
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)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
inference(assume_negation,[status(cth)],[t7_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)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(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)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_tsp_2]) ).
fof(c_0_7,negated_conjecture,
( k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(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,
! [X267,X268,X269] :
( X269 = k3_tex_4(X267,k5_subset_1(u1_struct_0(X267),X268,X269))
| ~ v4_pre_topc(X269,X267)
| ~ m1_subset_1(X269,k1_zfmisc_1(u1_struct_0(X267)))
| ~ v1_tsp_2(X268,X267)
| ~ m1_subset_1(X268,k1_zfmisc_1(u1_struct_0(X267)))
| ~ l1_pre_topc(X267)
| ~ v2_pre_topc(X267)
| v3_struct_0(X267) ),
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,
k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( ~ v4_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,
! [X164,X165] :
( v4_pre_topc(k6_pre_topc(X164,X165),X164)
| ~ m1_subset_1(X165,k1_zfmisc_1(u1_struct_0(X164)))
| ~ l1_pre_topc(X164)
| ~ v2_pre_topc(X164) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ m1_subset_1(k6_pre_topc(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v4_pre_topc(k6_pre_topc(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)
| ~ v2_pre_topc(X1)
| v4_pre_topc(k6_pre_topc(X1,X2),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,
! [X162,X163] :
( m1_subset_1(k6_pre_topc(X162,X163),k1_zfmisc_1(u1_struct_0(X162)))
| ~ m1_subset_1(X163,k1_zfmisc_1(u1_struct_0(X162)))
| ~ l1_pre_topc(X162) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])])]) ).
cnf(c_0_21,negated_conjecture,
~ m1_subset_1(k6_pre_topc(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]),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)
| m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(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(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP026+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 12:45:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 135.24/22.63 % Version: 3.5.1
% 135.24/22.63 % Preprocessing class: FMLLSMLLSSSNFFN.
% 135.24/22.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 135.24/22.63 % Starting new_bool_3 with 900s (3) cores
% 135.24/22.63 % Starting new_bool_1 with 900s (3) cores
% 135.24/22.63 % Starting sh5l with 300s (1) cores
% 135.24/22.63 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 135.24/22.63 % new_bool_1 with pid 3128769 completed with status 0
% 135.24/22.63 % Result found by new_bool_1
% 135.24/22.63 % Preprocessing class: FMLLSMLLSSSNFFN.
% 135.24/22.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 135.24/22.63 % Starting new_bool_3 with 900s (3) cores
% 135.24/22.63 % Starting new_bool_1 with 900s (3) cores
% 135.24/22.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 135.24/22.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 135.24/22.63 % Search class: FGHSM-SMLM31-MFFFFFNN
% 135.24/22.63 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 135.24/22.63 % Starting SubtermCWHack with 91s (1) cores
% 135.24/22.63 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 541s (1) cores
% 135.24/22.63 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 91s (1) cores
% 135.24/22.63 % C07_19_nc_SAT001_MinMin_p005000_rr with pid 3128774 completed with status 0
% 135.24/22.63 % Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 135.24/22.63 % Preprocessing class: FMLLSMLLSSSNFFN.
% 135.24/22.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 135.24/22.63 % Starting new_bool_3 with 900s (3) cores
% 135.24/22.63 % Starting new_bool_1 with 900s (3) cores
% 135.24/22.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 135.24/22.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 135.24/22.63 % Search class: FGHSM-SMLM31-MFFFFFNN
% 135.24/22.63 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 135.24/22.63 % Starting SubtermCWHack with 91s (1) cores
% 135.24/22.63 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 541s (1) cores
% 135.24/22.63 % Preprocessing time : 0.155 s
% 135.24/22.63 % Presaturation interreduction done
% 135.24/22.63
% 135.24/22.63 % Proof found!
% 135.24/22.63 % SZS status Theorem
% 135.24/22.63 % SZS output start CNFRefutation
% See solution above
% 135.24/22.63 % Parsed axioms : 13482
% 135.24/22.63 % Removed by relevancy pruning/SinE : 11750
% 135.24/22.63 % Initial clauses : 4114
% 135.24/22.63 % Removed in clause preprocessing : 114
% 135.24/22.63 % Initial clauses in saturation : 4000
% 135.24/22.63 % Processed clauses : 29934
% 135.24/22.63 % ...of these trivial : 410
% 135.24/22.63 % ...subsumed : 15539
% 135.24/22.63 % ...remaining for further processing : 13985
% 135.24/22.63 % Other redundant clauses eliminated : 519
% 135.24/22.63 % Clauses deleted for lack of memory : 0
% 135.24/22.63 % Backward-subsumed : 438
% 135.24/22.63 % Backward-rewritten : 195
% 135.24/22.63 % Generated clauses : 114614
% 135.24/22.63 % ...of the previous two non-redundant : 106327
% 135.24/22.63 % ...aggressively subsumed : 0
% 135.24/22.63 % Contextual simplify-reflections : 475
% 135.24/22.63 % Paramodulations : 114029
% 135.24/22.63 % Factorizations : 9
% 135.24/22.63 % NegExts : 0
% 135.24/22.63 % Equation resolutions : 544
% 135.24/22.63 % Disequality decompositions : 0
% 135.24/22.63 % Total rewrite steps : 19768
% 135.24/22.63 % ...of those cached : 17333
% 135.24/22.63 % Propositional unsat checks : 2
% 135.24/22.63 % Propositional check models : 1
% 135.24/22.63 % Propositional check unsatisfiable : 0
% 135.24/22.63 % Propositional clauses : 0
% 135.24/22.63 % Propositional clauses after purity: 0
% 135.24/22.63 % Propositional unsat core size : 0
% 135.24/22.63 % Propositional preprocessing time : 0.000
% 135.24/22.63 % Propositional encoding time : 0.127
% 135.24/22.63 % Propositional solver time : 0.143
% 135.24/22.63 % Success case prop preproc time : 0.000
% 135.24/22.63 % Success case prop encoding time : 0.000
% 135.24/22.63 % Success case prop solver time : 0.000
% 135.24/22.63 % Current number of processed clauses : 9461
% 135.24/22.63 % Positive orientable unit clauses : 1117
% 135.24/22.63 % Positive unorientable unit clauses: 9
% 135.24/22.63 % Negative unit clauses : 2272
% 135.24/22.63 % Non-unit-clauses : 6063
% 135.24/22.63 % Current number of unprocessed clauses: 83360
% 135.24/22.63 % ...number of literals in the above : 353652
% 135.24/22.63 % Current number of archived formulas : 0
% 135.24/22.63 % Current number of archived clauses : 4269
% 135.24/22.63 % Clause-clause subsumption calls (NU) : 18656986
% 135.24/22.63 % Rec. Clause-clause subsumption calls : 4325018
% 135.24/22.63 % Non-unit clause-clause subsumptions : 4511
% 135.24/22.63 % Unit Clause-clause subsumption calls : 2053483
% 135.24/22.63 % Rewrite failures with RHS unbound : 12
% 135.24/22.63 % BW rewrite match attempts : 776
% 135.24/22.63 % BW rewrite match successes : 493
% 135.24/22.63 % Condensation attempts : 0
% 135.24/22.63 % Condensation successes : 0
% 135.24/22.63 % Termbank termtop insertions : 2293106
% 135.24/22.63 % Search garbage collected termcells : 174065
% 135.24/22.63
% 135.24/22.63 % -------------------------------------------------
% 135.24/22.63 % User time : 18.851 s
% 135.24/22.63 % System time : 0.327 s
% 135.24/22.63 % Total time : 19.178 s
% 135.24/22.63 % Maximum resident set size: 33924 pages
% 135.24/22.63
% 135.24/22.63 % -------------------------------------------------
% 135.24/22.63 % User time : 58.293 s
% 135.24/22.63 % System time : 0.897 s
% 135.24/22.63 % Total time : 59.190 s
% 135.24/22.63 % Maximum resident set size: 23040 pages
% 135.24/22.63 % E exiting
%------------------------------------------------------------------------------