%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM835+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 0.09s 15.50s
% Output : CNFRefutation 0.09s
% 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,
! [X3,X4] :
( m(X4)
<=> ( ? [X6] : X4 = vplus(X3,X6)
| ? [X5] : X3 = vplus(X4,X5)
| X3 = X4 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
fof(c_0_2,plain,
! [X33,X34,X37,X38,X39,X40] :
( ( m(X38)
| X38 != vplus(X37,X40) )
& ( m(X38)
| X37 != vplus(X38,X39) )
& ( m(X38)
| X37 != X38 )
& ( X34 = vplus(X33,esk2_2(X33,X34))
| X33 = vplus(X34,esk1_2(X33,X34))
| X33 = X34
| ~ m(X34) ) ),
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,
! [X19,X20] :
( vd151 != vd165
& vd151 != vplus(vd165,X20)
& vd165 != vplus(vd151,X19) ),
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,esk2_2(X2,X1))
| X2 = vplus(X1,esk1_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,esk1_2(X1,X2)) = X1
| vplus(X1,esk2_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+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/15.43 % CPULimit : 300
% 0.09/15.43 % WCLimit : 300
% 0.09/15.43 % DateTime : Mon Sep 21 03:13:10 UTC 2026
% 0.09/15.43 % CPUTime :
% 0.09/15.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/15.47 Running first-order theorem proving
% 0.09/15.47 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
% 0.09/15.50 % Version: 3.5.1
% 0.09/15.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/15.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/15.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/15.50 % Starting new_bool_3 with 300s (1) cores
% 0.09/15.50 % Starting new_bool_1 with 300s (1) cores
% 0.09/15.50 % Starting sh5l with 300s (1) cores
% 0.09/15.50 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 19856 completed with status 0
% 0.09/15.50 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.09/15.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/15.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/15.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/15.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/15.50 % No SInE strategy applied
% 0.09/15.50 % Search class: FGUSM-FFMF21-SFFFFFNN
% 0.09/15.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/15.50 % Starting SubtermCWHack with 136s (1) cores
% 0.09/15.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/15.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/15.50 % Starting new_bool_3 with 136s (1) cores
% 0.09/15.50 % Starting new_bool_1 with 136s (1) cores
% 0.09/15.50 % new_bool_3 with pid 19866 completed with status 0
% 0.09/15.50 % Result found by new_bool_3
% 0.09/15.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/15.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/15.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/15.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/15.50 % No SInE strategy applied
% 0.09/15.50 % Search class: FGUSM-FFMF21-SFFFFFNN
% 0.09/15.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/15.50 % Starting SubtermCWHack with 136s (1) cores
% 0.09/15.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/15.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/15.50 % Starting new_bool_3 with 136s (1) cores
% 0.09/15.50 % Preprocessing time : 0.001 s
% 0.09/15.50 % Presaturation interreduction done
% 0.09/15.50
% 0.09/15.50 % Proof found!
% 0.09/15.50 % SZS status Theorem
% 0.09/15.50 % SZS output start CNFRefutation
% See solution above
% 0.09/15.50 % Parsed axioms : 24
% 0.09/15.50 % Removed by relevancy pruning/SinE : 0
% 0.09/15.50 % Initial clauses : 30
% 0.09/15.50 % Removed in clause preprocessing : 7
% 0.09/15.50 % Initial clauses in saturation : 23
% 0.09/15.50 % Processed clauses : 50
% 0.09/15.50 % ...of these trivial : 10
% 0.09/15.50 % ...subsumed : 15
% 0.09/15.50 % ...remaining for further processing : 25
% 0.09/15.50 % Other redundant clauses eliminated : 5
% 0.09/15.50 % Clauses deleted for lack of memory : 0
% 0.09/15.50 % Backward-subsumed : 0
% 0.09/15.50 % Backward-rewritten : 0
% 0.09/15.50 % Generated clauses : 56
% 0.09/15.50 % ...of the previous two non-redundant : 47
% 0.09/15.50 % ...aggressively subsumed : 0
% 0.09/15.50 % Contextual simplify-reflections : 0
% 0.09/15.50 % Paramodulations : 51
% 0.09/15.50 % Factorizations : 0
% 0.09/15.50 % NegExts : 0
% 0.09/15.50 % Equation resolutions : 5
% 0.09/15.50 % Disequality decompositions : 0
% 0.09/15.50 % Total rewrite steps : 29
% 0.09/15.50 % ...of those cached : 12
% 0.09/15.50 % Propositional unsat checks : 0
% 0.09/15.50 % Propositional check models : 0
% 0.09/15.50 % Propositional check unsatisfiable : 0
% 0.09/15.50 % Propositional clauses : 0
% 0.09/15.50 % Propositional clauses after purity: 0
% 0.09/15.50 % Propositional unsat core size : 0
% 0.09/15.50 % Propositional preprocessing time : 0.000
% 0.09/15.50 % Propositional encoding time : 0.000
% 0.09/15.50 % Propositional solver time : 0.000
% 0.09/15.50 % Success case prop preproc time : 0.000
% 0.09/15.50 % Success case prop encoding time : 0.000
% 0.09/15.50 % Success case prop solver time : 0.000
% 0.09/15.50 % Current number of processed clauses : 15
% 0.09/15.50 % Positive orientable unit clauses : 2
% 0.09/15.50 % Positive unorientable unit clauses: 1
% 0.09/15.50 % Negative unit clauses : 10
% 0.09/15.50 % Non-unit-clauses : 2
% 0.09/15.50 % Current number of unprocessed clauses: 21
% 0.09/15.50 % ...number of literals in the above : 23
% 0.09/15.50 % Current number of archived formulas : 0
% 0.09/15.50 % Current number of archived clauses : 10
% 0.09/15.50 % Clause-clause subsumption calls (NU) : 0
% 0.09/15.50 % Rec. Clause-clause subsumption calls : 0
% 0.09/15.50 % Non-unit clause-clause subsumptions : 0
% 0.09/15.50 % Unit Clause-clause subsumption calls : 11
% 0.09/15.50 % Rewrite failures with RHS unbound : 0
% 0.09/15.50 % BW rewrite match attempts : 10
% 0.09/15.50 % BW rewrite match successes : 10
% 0.09/15.50 % Condensation attempts : 0
% 0.09/15.50 % Condensation successes : 0
% 0.09/15.50 % Termbank termtop insertions : 2094
% 0.09/15.50 % Search garbage collected termcells : 276
% 0.09/15.50
% 0.09/15.50 % -------------------------------------------------
% 0.09/15.50 % User time : 0.005 s
% 0.09/15.50 % System time : 0.003 s
% 0.09/15.50 % Total time : 0.008 s
% 0.09/15.50 % Maximum resident set size: 3652 pages
% 0.09/15.50
% 0.09/15.50 % -------------------------------------------------
% 0.09/15.50 % User time : 0.013 s
% 0.09/15.50 % System time : 0.012 s
% 0.09/15.50 % Total time : 0.026 s
% 0.09/15.50 % Maximum resident set size: 4608 pages
% 0.09/15.50 % E exiting
%------------------------------------------------------------------------------