%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP027+1 : 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 03:53:52 PM UTC 2026
% Result : Theorem 0.27s 0.64s
% Output : CNFRefutation 0.27s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',t6_tsp_2) ).
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/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).
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/sandbox/benchmark/theBenchmark.p',dt_k1_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,
! [X9,X10,X11] :
( X11 = k3_tex_4(X9,k5_subset_1(u1_struct_0(X9),X10,X11))
| ~ v3_pre_topc(X11,X9)
| ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(X9)))
| ~ v1_tsp_2(X10,X9)
| ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
| ~ l1_pre_topc(X9)
| ~ v2_pre_topc(X9)
| v3_struct_0(X9) ),
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,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(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,
v2_pre_topc(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,
! [X28,X29] :
( v3_pre_topc(k1_tops_1(X28,X29),X28)
| ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(X28)))
| ~ l1_pre_topc(X28)
| ~ v2_pre_topc(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_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)
| ~ v2_pre_topc(X1)
| v3_pre_topc(k1_tops_1(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,
! [X26,X27] :
( m1_subset_1(k1_tops_1(X26,X27),k1_zfmisc_1(u1_struct_0(X26)))
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| ~ l1_pre_topc(X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])])]) ).
cnf(c_0_21,negated_conjecture,
~ m1_subset_1(k1_tops_1(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_19]),c_0_13]),c_0_14])]) ).
cnf(c_0_22,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_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_19]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n001.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 12:45:59 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.51 Running first-order theorem proving
% 0.16/0.51 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
% 0.27/0.63 % Version: 3.5.1
% 0.27/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.63 % Starting sh5l with 300s (1) cores
% 0.27/0.63 % new_bool_3 with pid 3129164 completed with status 0
% 0.27/0.63 % Result found by new_bool_3
% 0.27/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.63 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.27/0.63 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.27/0.63 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.63 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.63 % SubtermCWHack with pid 3129167 completed with status 0
% 0.27/0.64 % Result found by SubtermCWHack
% 0.27/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.64 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.27/0.64 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.27/0.64 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.64 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.64 % Preprocessing time : 0.004 s
% 0.27/0.64
% 0.27/0.64 % Proof found!
% 0.27/0.64 % SZS status Theorem
% 0.27/0.64 % SZS output start CNFRefutation
% See solution above
% 0.27/0.64 % Parsed axioms : 79
% 0.27/0.64 % Removed by relevancy pruning/SinE : 27
% 0.27/0.64 % Initial clauses : 142
% 0.27/0.64 % Removed in clause preprocessing : 3
% 0.27/0.64 % Initial clauses in saturation : 139
% 0.27/0.64 % Processed clauses : 810
% 0.27/0.64 % ...of these trivial : 0
% 0.27/0.64 % ...subsumed : 457
% 0.27/0.64 % ...remaining for further processing : 353
% 0.27/0.64 % Other redundant clauses eliminated : 0
% 0.27/0.64 % Clauses deleted for lack of memory : 0
% 0.27/0.64 % Backward-subsumed : 3
% 0.27/0.64 % Backward-rewritten : 2
% 0.27/0.64 % Generated clauses : 1180
% 0.27/0.64 % ...of the previous two non-redundant : 1064
% 0.27/0.64 % ...aggressively subsumed : 0
% 0.27/0.64 % Contextual simplify-reflections : 0
% 0.27/0.64 % Paramodulations : 1180
% 0.27/0.64 % Factorizations : 0
% 0.27/0.64 % NegExts : 0
% 0.27/0.64 % Equation resolutions : 0
% 0.27/0.64 % Disequality decompositions : 0
% 0.27/0.64 % Total rewrite steps : 131
% 0.27/0.64 % ...of those cached : 92
% 0.27/0.64 % Propositional unsat checks : 0
% 0.27/0.64 % Propositional check models : 0
% 0.27/0.64 % Propositional check unsatisfiable : 0
% 0.27/0.64 % Propositional clauses : 0
% 0.27/0.64 % Propositional clauses after purity: 0
% 0.27/0.64 % Propositional unsat core size : 0
% 0.27/0.64 % Propositional preprocessing time : 0.000
% 0.27/0.64 % Propositional encoding time : 0.000
% 0.27/0.64 % Propositional solver time : 0.000
% 0.27/0.64 % Success case prop preproc time : 0.000
% 0.27/0.64 % Success case prop encoding time : 0.000
% 0.27/0.64 % Success case prop solver time : 0.000
% 0.27/0.64 % Current number of processed clauses : 348
% 0.27/0.64 % Positive orientable unit clauses : 21
% 0.27/0.64 % Positive unorientable unit clauses: 2
% 0.27/0.64 % Negative unit clauses : 5
% 0.27/0.64 % Non-unit-clauses : 320
% 0.27/0.64 % Current number of unprocessed clauses: 344
% 0.27/0.64 % ...number of literals in the above : 1789
% 0.27/0.64 % Current number of archived formulas : 0
% 0.27/0.64 % Current number of archived clauses : 5
% 0.27/0.64 % Clause-clause subsumption calls (NU) : 38759
% 0.27/0.64 % Rec. Clause-clause subsumption calls : 21110
% 0.27/0.64 % Non-unit clause-clause subsumptions : 453
% 0.27/0.64 % Unit Clause-clause subsumption calls : 4
% 0.27/0.64 % Rewrite failures with RHS unbound : 16
% 0.27/0.64 % BW rewrite match attempts : 10
% 0.27/0.64 % BW rewrite match successes : 10
% 0.27/0.64 % Condensation attempts : 0
% 0.27/0.64 % Condensation successes : 0
% 0.27/0.64 % Termbank termtop insertions : 24085
% 0.27/0.64 % Search garbage collected termcells : 1488
% 0.27/0.64
% 0.27/0.64 % -------------------------------------------------
% 0.27/0.64 % User time : 0.049 s
% 0.27/0.64 % System time : 0.005 s
% 0.27/0.64 % Total time : 0.054 s
% 0.27/0.64 % Maximum resident set size: 3968 pages
% 0.27/0.64
% 0.27/0.64 % -------------------------------------------------
% 0.27/0.64 % User time : 0.055 s
% 0.27/0.64 % System time : 0.011 s
% 0.27/0.64 % Total time : 0.066 s
% 0.27/0.64 % Maximum resident set size: 4864 pages
% 0.27/0.64 % E exiting
%------------------------------------------------------------------------------