%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP026+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 : n019.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 153.89s 35.53s
% Output : CNFRefutation 153.89s
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t5_tsp_2) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc2_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)))
=> 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,
! [X232,X233,X234] :
( X234 = k3_tex_4(X232,k5_subset_1(u1_struct_0(X232),X233,X234))
| ~ v4_pre_topc(X234,X232)
| ~ m1_subset_1(X234,k1_zfmisc_1(u1_struct_0(X232)))
| ~ v1_tsp_2(X233,X232)
| ~ m1_subset_1(X233,k1_zfmisc_1(u1_struct_0(X232)))
| ~ l1_pre_topc(X232)
| ~ v2_pre_topc(X232)
| v3_struct_0(X232) ),
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,
! [X156,X157] :
( m1_subset_1(k6_pre_topc(X156,X157),k1_zfmisc_1(u1_struct_0(X156)))
| ~ m1_subset_1(X157,k1_zfmisc_1(u1_struct_0(X156)))
| ~ l1_pre_topc(X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])])]) ).
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)
| m1_subset_1(k6_pre_topc(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,
! [X866,X867] :
( v4_pre_topc(k6_pre_topc(X866,X867),X866)
| ~ m1_subset_1(X867,k1_zfmisc_1(u1_struct_0(X866)))
| ~ l1_pre_topc(X866)
| ~ v2_pre_topc(X866) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])])]) ).
cnf(c_0_21,negated_conjecture,
~ v4_pre_topc(k6_pre_topc(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)
| v4_pre_topc(k6_pre_topc(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
% 0.00/0.05 % Problem : TOP026+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n019.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 12:40:09 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.51 Running first-order theorem proving
% 0.20/0.52 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
% 153.89/35.53 % Version: 3.5.1
% 153.89/35.53 % Preprocessing class: FMLLMLLLSSSNFFN.
% 153.89/35.53 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 153.89/35.53 % Starting new_bool_3 with 891s (3) cores
% 153.89/35.53 % Starting new_bool_1 with 891s (3) cores
% 153.89/35.53 % Starting sh5l with 297s (1) cores
% 153.89/35.53 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 153.89/35.53 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2579784 completed with status 0
% 153.89/35.53 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 153.89/35.53 % Preprocessing class: FMLLMLLLSSSNFFN.
% 153.89/35.53 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 153.89/35.53 % Starting new_bool_3 with 891s (3) cores
% 153.89/35.53 % Starting new_bool_1 with 891s (3) cores
% 153.89/35.53 % Starting sh5l with 297s (1) cores
% 153.89/35.53 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 153.89/35.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 153.89/35.53 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 153.89/35.53 % Search class: FGHSM-SMLM31-DFFFFFNN
% 153.89/35.53 % Scheduled 7 strats onto 1 cores with 297 seconds (297 total)
% 153.89/35.53 % Starting SubtermCWHack with 27s (1) cores
% 153.89/35.53 % SubtermCWHack with pid 2579785 completed with status 8
% 153.89/35.53 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 153.89/35.53 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2580413 completed with status 0
% 153.89/35.53 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 153.89/35.53 % Preprocessing class: FMLLMLLLSSSNFFN.
% 153.89/35.53 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 153.89/35.53 % Starting new_bool_3 with 891s (3) cores
% 153.89/35.53 % Starting new_bool_1 with 891s (3) cores
% 153.89/35.53 % Starting sh5l with 297s (1) cores
% 153.89/35.53 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 153.89/35.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 153.89/35.53 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 153.89/35.53 % Search class: FGHSM-SMLM31-DFFFFFNN
% 153.89/35.53 % Scheduled 7 strats onto 1 cores with 297 seconds (297 total)
% 153.89/35.53 % Starting SubtermCWHack with 27s (1) cores
% 153.89/35.53 % SubtermCWHack with pid 2579785 completed with status 8
% 153.89/35.53 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 153.89/35.53 % Preprocessing time : 0.106 s
% 153.89/35.53
% 153.89/35.53 % Proof found!
% 153.89/35.53 % SZS status Theorem
% 153.89/35.53 % SZS output start CNFRefutation
% See solution above
% 153.89/35.53 % Parsed axioms : 34387
% 153.89/35.53 % Removed by relevancy pruning/SinE : 33721
% 153.89/35.53 % Initial clauses : 1630
% 153.89/35.53 % Removed in clause preprocessing : 48
% 153.89/35.53 % Initial clauses in saturation : 1582
% 153.89/35.53 % Processed clauses : 1710
% 153.89/35.53 % ...of these trivial : 27
% 153.89/35.53 % ...subsumed : 122
% 153.89/35.53 % ...remaining for further processing : 1561
% 153.89/35.53 % Other redundant clauses eliminated : 150
% 153.89/35.53 % Clauses deleted for lack of memory : 0
% 153.89/35.53 % Backward-subsumed : 17
% 153.89/35.53 % Backward-rewritten : 20
% 153.89/35.53 % Generated clauses : 37322
% 153.89/35.53 % ...of the previous two non-redundant : 36150
% 153.89/35.53 % ...aggressively subsumed : 0
% 153.89/35.53 % Contextual simplify-reflections : 139
% 153.89/35.53 % Paramodulations : 37155
% 153.89/35.53 % Factorizations : 6
% 153.89/35.53 % NegExts : 0
% 153.89/35.53 % Equation resolutions : 162
% 153.89/35.53 % Disequality decompositions : 0
% 153.89/35.53 % Total rewrite steps : 4441
% 153.89/35.53 % ...of those cached : 3928
% 153.89/35.53 % Propositional unsat checks : 0
% 153.89/35.53 % Propositional check models : 0
% 153.89/35.53 % Propositional check unsatisfiable : 0
% 153.89/35.53 % Propositional clauses : 0
% 153.89/35.53 % Propositional clauses after purity: 0
% 153.89/35.53 % Propositional unsat core size : 0
% 153.89/35.53 % Propositional preprocessing time : 0.000
% 153.89/35.53 % Propositional encoding time : 0.000
% 153.89/35.53 % Propositional solver time : 0.000
% 153.89/35.53 % Success case prop preproc time : 0.000
% 153.89/35.53 % Success case prop encoding time : 0.000
% 153.89/35.53 % Success case prop solver time : 0.000
% 153.89/35.53 % Current number of processed clauses : 1425
% 153.89/35.53 % Positive orientable unit clauses : 112
% 153.89/35.53 % Positive unorientable unit clauses: 2
% 153.89/35.53 % Negative unit clauses : 45
% 153.89/35.53 % Non-unit-clauses : 1266
% 153.89/35.53 % Current number of unprocessed clauses: 36011
% 153.89/35.53 % ...number of literals in the above : 218955
% 153.89/35.53 % Current number of archived formulas : 0
% 153.89/35.53 % Current number of archived clauses : 38
% 153.89/35.53 % Clause-clause subsumption calls (NU) : 1110200
% 153.89/35.53 % Rec. Clause-clause subsumption calls : 85916
% 153.89/35.53 % Non-unit clause-clause subsumptions : 236
% 153.89/35.53 % Unit Clause-clause subsumption calls : 19451
% 153.89/35.53 % Rewrite failures with RHS unbound : 0
% 153.89/35.53 % BW rewrite match attempts : 55
% 153.89/35.53 % BW rewrite match successes : 29
% 153.89/35.53 % Condensation attempts : 0
% 153.89/35.53 % Condensation successes : 0
% 153.89/35.53 % Termbank termtop insertions : 1885086
% 153.89/35.53 % Search garbage collected termcells : 362800
% 153.89/35.53
% 153.89/35.53 % -------------------------------------------------
% 153.89/35.53 % User time : 29.648 s
% 153.89/35.53 % System time : 0.722 s
% 153.89/35.53 % Total time : 30.370 s
% 153.89/35.53 % Maximum resident set size: 69340 pages
% 153.89/35.53
% 153.89/35.53 % -------------------------------------------------
% 153.89/35.53 % User time : 32.781 s
% 153.89/35.53 % System time : 0.865 s
% 153.89/35.53 % Total time : 33.646 s
% 153.89/35.53 % Maximum resident set size: 56832 pages
% 153.89/35.53 % E exiting
%------------------------------------------------------------------------------