%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:12:28 PM UTC 2026
% Result : Theorem 0.22s 0.56s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 56 ( 22 ~; 14 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 72 ( 3 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs)) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof('T-Weak-FreeVar-abs-2',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& X9 = X21 )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof('T-Weak-FreeVar-abs-1',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& X9 != X21 )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
fof(c_0_3,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs)) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs']) ).
fof(c_0_4,plain,
! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& X9 = X21 )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-2']) ).
fof(c_0_5,plain,
! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& X9 != X21 )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-1']) ).
fof(c_0_6,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs)) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
! [X317,X318,X319,X320,X321,X322] :
( vtcheck(vbind(X317,X318,X319),vabs(X320,X321,veabs),X322)
| ~ vtcheck(X319,vabs(X320,X321,veabs),X322)
| visFreeVar(X317,vabs(X320,X321,veabs))
| X317 != X320 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X311,X312,X313,X314,X315,X316] :
( vtcheck(vbind(X311,X312,X313),vabs(X314,X315,veabs),X316)
| ~ vtcheck(X313,vabs(X314,X315,veabs),X316)
| visFreeVar(X311,vabs(X314,X315,veabs))
| X311 = X314 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,negated_conjecture,
( ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_10,plain,
( ~ vtcheck(X4,vabs(X2,X3,veabs),X5)
| X1 != X2
| vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
| visFreeVar(X1,vabs(X2,X3,veabs)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ vtcheck(X4,vabs(X2,X3,veabs),X5)
| vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
| visFreeVar(X1,vabs(X2,X3,veabs))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ vtcheck(X3,vabs(X4,X5,veabs),X6)
| visFreeVar(X1,vabs(X4,X5,veabs))
| vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6) ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 14:16:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 0.22/0.56 % Version: 3.5.1
% 0.22/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.56 % Starting sh5l with 300s (1) cores
% 0.22/0.56 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 974630 completed with status 0
% 0.22/0.56 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.22/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.56 % No SInE strategy applied
% 0.22/0.56 % Search class: FGHSF-FSLF32-MFFFFFNN
% 0.22/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.56 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.22/0.56 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.56 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.56 % G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 974639 completed with status 0
% 0.22/0.56 % Result found by G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.22/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.56 % No SInE strategy applied
% 0.22/0.56 % Search class: FGHSF-FSLF32-MFFFFFNN
% 0.22/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.56 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.22/0.56 % Preprocessing time : 0.008 s
% 0.22/0.56 % Presaturation interreduction done
% 0.22/0.56
% 0.22/0.56 % Proof found!
% 0.22/0.56 % SZS status Theorem
% 0.22/0.56 % SZS output start CNFRefutation
% See solution above
% 0.22/0.56 % Parsed axioms : 60
% 0.22/0.56 % Removed by relevancy pruning/SinE : 0
% 0.22/0.56 % Initial clauses : 426
% 0.22/0.56 % Removed in clause preprocessing : 13
% 0.22/0.56 % Initial clauses in saturation : 413
% 0.22/0.56 % Processed clauses : 491
% 0.22/0.56 % ...of these trivial : 0
% 0.22/0.56 % ...subsumed : 40
% 0.22/0.56 % ...remaining for further processing : 451
% 0.22/0.56 % Other redundant clauses eliminated : 29
% 0.22/0.56 % Clauses deleted for lack of memory : 0
% 0.22/0.56 % Backward-subsumed : 1
% 0.22/0.56 % Backward-rewritten : 0
% 0.22/0.56 % Generated clauses : 65
% 0.22/0.56 % ...of the previous two non-redundant : 48
% 0.22/0.56 % ...aggressively subsumed : 0
% 0.22/0.56 % Contextual simplify-reflections : 1
% 0.22/0.56 % Paramodulations : 16
% 0.22/0.56 % Factorizations : 0
% 0.22/0.56 % NegExts : 0
% 0.22/0.56 % Equation resolutions : 60
% 0.22/0.56 % Disequality decompositions : 0
% 0.22/0.56 % Total rewrite steps : 2
% 0.22/0.56 % ...of those cached : 1
% 0.22/0.56 % Propositional unsat checks : 0
% 0.22/0.56 % Propositional check models : 0
% 0.22/0.56 % Propositional check unsatisfiable : 0
% 0.22/0.56 % Propositional clauses : 0
% 0.22/0.56 % Propositional clauses after purity: 0
% 0.22/0.56 % Propositional unsat core size : 0
% 0.22/0.56 % Propositional preprocessing time : 0.000
% 0.22/0.56 % Propositional encoding time : 0.000
% 0.22/0.56 % Propositional solver time : 0.000
% 0.22/0.56 % Success case prop preproc time : 0.000
% 0.22/0.56 % Success case prop encoding time : 0.000
% 0.22/0.56 % Success case prop solver time : 0.000
% 0.22/0.56 % Current number of processed clauses : 60
% 0.22/0.56 % Positive orientable unit clauses : 1
% 0.22/0.56 % Positive unorientable unit clauses: 0
% 0.22/0.56 % Negative unit clauses : 8
% 0.22/0.56 % Non-unit-clauses : 51
% 0.22/0.56 % Current number of unprocessed clauses: 341
% 0.22/0.56 % ...number of literals in the above : 1444
% 0.22/0.56 % Current number of archived formulas : 0
% 0.22/0.56 % Current number of archived clauses : 373
% 0.22/0.56 % Clause-clause subsumption calls (NU) : 38086
% 0.22/0.56 % Rec. Clause-clause subsumption calls : 8408
% 0.22/0.56 % Non-unit clause-clause subsumptions : 42
% 0.22/0.56 % Unit Clause-clause subsumption calls : 9
% 0.22/0.56 % Rewrite failures with RHS unbound : 0
% 0.22/0.56 % BW rewrite match attempts : 0
% 0.22/0.56 % BW rewrite match successes : 0
% 0.22/0.56 % Condensation attempts : 0
% 0.22/0.56 % Condensation successes : 0
% 0.22/0.56 % Termbank termtop insertions : 28481
% 0.22/0.56 % Search garbage collected termcells : 4063
% 0.22/0.56
% 0.22/0.56 % -------------------------------------------------
% 0.22/0.56 % User time : 0.078 s
% 0.22/0.56 % System time : 0.009 s
% 0.22/0.56 % Total time : 0.087 s
% 0.22/0.56 % Maximum resident set size: 4520 pages
% 0.22/0.56
% 0.22/0.56 % -------------------------------------------------
% 0.22/0.56 % User time : 0.268 s
% 0.22/0.56 % System time : 0.036 s
% 0.22/0.56 % Total time : 0.304 s
% 0.22/0.56 % Maximum resident set size: 4608 pages
% 0.22/0.56 % E exiting
%------------------------------------------------------------------------------