%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM835+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:50:46 PM UTC 2026
% Result : Theorem 0.14s 10.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 37 ( 28 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 37 ( 13 ~; 18 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof('def(cond(conseq(105), 0), 1)',axiom,
! [X5,X6] :
( m(X6)
<=> ( ? [X8] : X6 = vplus(X5,X8)
| ? [X7] : X5 = vplus(X6,X7)
| X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
fof('dis(case_distinction(conseq(110)))',conjecture,
( vd151 = vd165
| ? [X2] : vd151 = vplus(vd165,X2)
| ? [X1] : vd165 = vplus(vd151,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
fof(c_0_2,plain,
! [X59,X60,X63,X64,X65,X66] :
( ( m(X64)
| X64 != vplus(X63,X66) )
& ( m(X64)
| X63 != vplus(X64,X65) )
& ( m(X64)
| X63 != X64 )
& ( X60 = vplus(X59,esk3_2(X59,X60))
| X59 = vplus(X60,esk2_2(X59,X60))
| X59 = X60
| ~ m(X60) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(105), 0), 1)'])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ( vd151 = vd165
| ? [X2] : vd151 = vplus(vd165,X2)
| ? [X1] : vd165 = vplus(vd151,X1) ),
inference(assume_negation,[status(cth)],['dis(case_distinction(conseq(110)))']) ).
cnf(c_0_4,plain,
( X1 != X2
| m(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X43,X44] :
( vd151 != vd165
& vd151 != vplus(vd165,X44)
& vd165 != vplus(vd151,X43) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( ~ m(X1)
| X1 = vplus(X2,esk3_2(X2,X1))
| X2 = vplus(X1,esk2_2(X2,X1))
| X2 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,plain,
m(X1),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
vd165 != vplus(vd151,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X2 = X1
| vplus(X2,esk2_2(X1,X2)) = X1
| vplus(X1,esk3_2(X1,X2)) = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
vd151 != vplus(vd165,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
vd151 != vd165,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]),c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM835+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n010.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 03:12:50 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.43 Running first-order theorem proving
% 0.14/10.43 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
% 0.14/10.45 % Version: 3.5.1
% 0.14/10.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.45 % Starting sh5l with 300s (1) cores
% 0.14/10.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4104215 completed with status 0
% 0.14/10.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/10.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.45 % No SInE strategy applied
% 0.14/10.45 % Search class: FGHSM-FFMF21-SFFFFFNN
% 0.14/10.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/10.45 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/10.45 % Starting new_bool_3 with 136s (1) cores
% 0.14/10.45 % Starting new_bool_1 with 136s (1) cores
% 0.14/10.45 % new_bool_3 with pid 4104224 completed with status 0
% 0.14/10.45 % Result found by new_bool_3
% 0.14/10.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.45 % No SInE strategy applied
% 0.14/10.45 % Search class: FGHSM-FFMF21-SFFFFFNN
% 0.14/10.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/10.45 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/10.45 % Starting new_bool_3 with 136s (1) cores
% 0.14/10.45 % Preprocessing time : 0.001 s
% 0.14/10.45 % Presaturation interreduction done
% 0.14/10.45
% 0.14/10.45 % Proof found!
% 0.14/10.45 % SZS status Theorem
% 0.14/10.45 % SZS output start CNFRefutation
% See solution above
% 0.14/10.45 % Parsed axioms : 39
% 0.14/10.45 % Removed by relevancy pruning/SinE : 0
% 0.14/10.45 % Initial clauses : 50
% 0.14/10.45 % Removed in clause preprocessing : 11
% 0.14/10.45 % Initial clauses in saturation : 39
% 0.14/10.45 % Processed clauses : 83
% 0.14/10.45 % ...of these trivial : 11
% 0.14/10.45 % ...subsumed : 22
% 0.14/10.45 % ...remaining for further processing : 50
% 0.14/10.45 % Other redundant clauses eliminated : 22
% 0.14/10.45 % Clauses deleted for lack of memory : 0
% 0.14/10.45 % Backward-subsumed : 3
% 0.14/10.45 % Backward-rewritten : 3
% 0.14/10.45 % Generated clauses : 118
% 0.14/10.45 % ...of the previous two non-redundant : 90
% 0.14/10.45 % ...aggressively subsumed : 0
% 0.14/10.45 % Contextual simplify-reflections : 0
% 0.14/10.45 % Paramodulations : 94
% 0.14/10.45 % Factorizations : 0
% 0.14/10.45 % NegExts : 0
% 0.14/10.45 % Equation resolutions : 24
% 0.14/10.45 % Disequality decompositions : 0
% 0.14/10.45 % Total rewrite steps : 38
% 0.14/10.45 % ...of those cached : 14
% 0.14/10.45 % Propositional unsat checks : 0
% 0.14/10.45 % Propositional check models : 0
% 0.14/10.45 % Propositional check unsatisfiable : 0
% 0.14/10.45 % Propositional clauses : 0
% 0.14/10.45 % Propositional clauses after purity: 0
% 0.14/10.45 % Propositional unsat core size : 0
% 0.14/10.45 % Propositional preprocessing time : 0.000
% 0.14/10.45 % Propositional encoding time : 0.000
% 0.14/10.45 % Propositional solver time : 0.000
% 0.14/10.45 % Success case prop preproc time : 0.000
% 0.14/10.45 % Success case prop encoding time : 0.000
% 0.14/10.45 % Success case prop solver time : 0.000
% 0.14/10.45 % Current number of processed clauses : 22
% 0.14/10.45 % Positive orientable unit clauses : 2
% 0.14/10.45 % Positive unorientable unit clauses: 1
% 0.14/10.45 % Negative unit clauses : 11
% 0.14/10.45 % Non-unit-clauses : 8
% 0.14/10.45 % Current number of unprocessed clauses: 48
% 0.14/10.45 % ...number of literals in the above : 72
% 0.14/10.45 % Current number of archived formulas : 0
% 0.14/10.45 % Current number of archived clauses : 20
% 0.14/10.45 % Clause-clause subsumption calls (NU) : 8
% 0.14/10.45 % Rec. Clause-clause subsumption calls : 7
% 0.14/10.45 % Non-unit clause-clause subsumptions : 1
% 0.14/10.45 % Unit Clause-clause subsumption calls : 24
% 0.14/10.45 % Rewrite failures with RHS unbound : 0
% 0.14/10.45 % BW rewrite match attempts : 37
% 0.14/10.45 % BW rewrite match successes : 37
% 0.14/10.45 % Condensation attempts : 0
% 0.14/10.45 % Condensation successes : 0
% 0.14/10.45 % Termbank termtop insertions : 3372
% 0.14/10.45 % Search garbage collected termcells : 531
% 0.14/10.45
% 0.14/10.45 % -------------------------------------------------
% 0.14/10.45 % User time : 0.005 s
% 0.14/10.45 % System time : 0.005 s
% 0.14/10.45 % Total time : 0.010 s
% 0.14/10.45 % Maximum resident set size: 3628 pages
% 0.14/10.45
% 0.14/10.45 % -------------------------------------------------
% 0.14/10.45 % User time : 0.020 s
% 0.14/10.45 % System time : 0.015 s
% 0.14/10.45 % Total time : 0.034 s
% 0.14/10.45 % Maximum resident set size: 4864 pages
% 0.14/10.45 % E exiting
%------------------------------------------------------------------------------