%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : TOP026+4 : 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 : n009.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 177.55s 28.37s
% Output : CNFRefutation 177.55s
% 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,
! [X325,X326,X327] :
( X327 = k3_tex_4(X325,k5_subset_1(u1_struct_0(X325),X326,X327))
| ~ v4_pre_topc(X327,X325)
| ~ m1_subset_1(X327,k1_zfmisc_1(u1_struct_0(X325)))
| ~ v1_tsp_2(X326,X325)
| ~ m1_subset_1(X326,k1_zfmisc_1(u1_struct_0(X325)))
| ~ l1_pre_topc(X325)
| ~ v2_pre_topc(X325)
| v3_struct_0(X325) ),
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,
! [X186,X187] :
( v4_pre_topc(k6_pre_topc(X186,X187),X186)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(X186)))
| ~ l1_pre_topc(X186)
| ~ v2_pre_topc(X186) ),
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,
! [X184,X185] :
( m1_subset_1(k6_pre_topc(X184,X185),k1_zfmisc_1(u1_struct_0(X184)))
| ~ m1_subset_1(X185,k1_zfmisc_1(u1_struct_0(X184)))
| ~ l1_pre_topc(X184) ),
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+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 12:40:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 177.55/28.37 % Version: 3.5.1
% 177.55/28.37 % Preprocessing class: FMLLMLLLSSSNFFN.
% 177.55/28.37 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 177.55/28.37 % Starting new_bool_3 with 897s (3) cores
% 177.55/28.37 % Starting new_bool_1 with 897s (3) cores
% 177.55/28.37 % Starting sh5l with 299s (1) cores
% 177.55/28.37 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 177.55/28.37 % new_bool_3 with pid 1761179 completed with status 0
% 177.55/28.37 % Result found by new_bool_3
% 177.55/28.37 % Preprocessing class: FMLLMLLLSSSNFFN.
% 177.55/28.37 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 177.55/28.37 % Starting new_bool_3 with 897s (3) cores
% 177.55/28.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 177.55/28.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 177.55/28.37 % Search class: FGHSM-SMLM31-DFFFFFNN
% 177.55/28.37 % Scheduled 7 strats onto 3 cores with 897 seconds (897 total)
% 177.55/28.37 % Starting SubtermCWHack with 81s (1) cores
% 177.55/28.37 % Starting new_bool_3 with 90s (1) cores
% 177.55/28.37 % Starting SAT001_MinMin_p005000_rr_RG with 89s (1) cores
% 177.55/28.37 % SAT001_MinMin_p005000_rr_RG with pid 1761186 completed with status 0
% 177.55/28.37 % Result found by SAT001_MinMin_p005000_rr_RG
% 177.55/28.37 % Preprocessing class: FMLLMLLLSSSNFFN.
% 177.55/28.37 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 177.55/28.37 % Starting new_bool_3 with 897s (3) cores
% 177.55/28.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 177.55/28.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 177.55/28.37 % Search class: FGHSM-SMLM31-DFFFFFNN
% 177.55/28.37 % Scheduled 7 strats onto 3 cores with 897 seconds (897 total)
% 177.55/28.37 % Starting SubtermCWHack with 81s (1) cores
% 177.55/28.37 % Starting new_bool_3 with 90s (1) cores
% 177.55/28.37 % Starting SAT001_MinMin_p005000_rr_RG with 89s (1) cores
% 177.55/28.37 % Preprocessing time : 0.193 s
% 177.55/28.37 % Presaturation interreduction done
% 177.55/28.37
% 177.55/28.37 % Proof found!
% 177.55/28.37 % SZS status Theorem
% 177.55/28.37 % SZS output start CNFRefutation
% See solution above
% 177.55/28.37 % Parsed axioms : 34387
% 177.55/28.37 % Removed by relevancy pruning/SinE : 31669
% 177.55/28.37 % Initial clauses : 6439
% 177.55/28.37 % Removed in clause preprocessing : 169
% 177.55/28.37 % Initial clauses in saturation : 6270
% 177.55/28.37 % Processed clauses : 43893
% 177.55/28.37 % ...of these trivial : 979
% 177.55/28.37 % ...subsumed : 22468
% 177.55/28.37 % ...remaining for further processing : 20446
% 177.55/28.37 % Other redundant clauses eliminated : 1168
% 177.55/28.37 % Clauses deleted for lack of memory : 0
% 177.55/28.37 % Backward-subsumed : 637
% 177.55/28.37 % Backward-rewritten : 348
% 177.55/28.37 % Generated clauses : 193987
% 177.55/28.37 % ...of the previous two non-redundant : 176498
% 177.55/28.37 % ...aggressively subsumed : 0
% 177.55/28.37 % Contextual simplify-reflections : 648
% 177.55/28.37 % Paramodulations : 192776
% 177.55/28.37 % Factorizations : 3
% 177.55/28.37 % NegExts : 0
% 177.55/28.37 % Equation resolutions : 1210
% 177.55/28.37 % Disequality decompositions : 0
% 177.55/28.37 % Total rewrite steps : 44775
% 177.55/28.37 % ...of those cached : 41830
% 177.55/28.37 % Propositional unsat checks : 5
% 177.55/28.37 % Propositional check models : 2
% 177.55/28.37 % Propositional check unsatisfiable : 0
% 177.55/28.37 % Propositional clauses : 0
% 177.55/28.37 % Propositional clauses after purity: 0
% 177.55/28.37 % Propositional unsat core size : 0
% 177.55/28.37 % Propositional preprocessing time : 0.000
% 177.55/28.37 % Propositional encoding time : 0.518
% 177.55/28.37 % Propositional solver time : 0.545
% 177.55/28.37 % Success case prop preproc time : 0.000
% 177.55/28.37 % Success case prop encoding time : 0.000
% 177.55/28.37 % Success case prop solver time : 0.000
% 177.55/28.37 % Current number of processed clauses : 13442
% 177.55/28.37 % Positive orientable unit clauses : 1613
% 177.55/28.37 % Positive unorientable unit clauses: 8
% 177.55/28.37 % Negative unit clauses : 3414
% 177.55/28.37 % Non-unit-clauses : 8407
% 177.55/28.37 % Current number of unprocessed clauses: 143598
% 177.55/28.37 % ...number of literals in the above : 609856
% 177.55/28.37 % Current number of archived formulas : 0
% 177.55/28.37 % Current number of archived clauses : 6610
% 177.55/28.37 % Clause-clause subsumption calls (NU) : 33773775
% 177.55/28.37 % Rec. Clause-clause subsumption calls : 7771379
% 177.55/28.37 % Non-unit clause-clause subsumptions : 5752
% 177.55/28.37 % Unit Clause-clause subsumption calls : 3448318
% 177.55/28.37 % Rewrite failures with RHS unbound : 0
% 177.55/28.37 % BW rewrite match attempts : 1080
% 177.55/28.37 % BW rewrite match successes : 600
% 177.55/28.37 % Condensation attempts : 0
% 177.55/28.37 % Condensation successes : 0
% 177.55/28.37 % Termbank termtop insertions : 5285912
% 177.55/28.37 % Search garbage collected termcells : 432788
% 177.55/28.37
% 177.55/28.37 % -------------------------------------------------
% 177.55/28.37 % User time : 24.925 s
% 177.55/28.37 % System time : 0.480 s
% 177.55/28.37 % Total time : 25.406 s
% 177.55/28.37 % Maximum resident set size: 74716 pages
% 177.55/28.37
% 177.55/28.37 % -------------------------------------------------
% 177.55/28.37 % User time : 74.799 s
% 177.55/28.37 % System time : 1.605 s
% 177.55/28.37 % Total time : 76.404 s
% 177.55/28.37 % Maximum resident set size: 56320 pages
% 177.55/28.37 % E exiting
%------------------------------------------------------------------------------