%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM844+1 : 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 : n002.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 01:50:49 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 16 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(266, 415, 3)',conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 3)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X75,X76] :
( vplus(X75,v1) = vsucc(X75)
& vplus(X75,vsucc(X76)) = vsucc(vplus(X75,X76)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X67,X68] : vplus(X68,X67) = vplus(X67,X68),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X72,X73,X74] : vplus(vplus(X72,X73),X74) = vplus(X72,vplus(X73,X74)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(c_0_4,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(assume_negation,[status(cth)],['holds(266, 415, 3)']) ).
fof(c_0_5,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X192,X193] :
( vplus(X192,v1) = vsucc(X192)
& vplus(X192,vsucc(X193)) = vsucc(vplus(X192,X193)) ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))']) ).
fof(c_0_8,plain,
! [X184,X185] : vplus(X185,X184) = vplus(X184,X185),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_9,plain,
! [X189,X190,X191] : vplus(vplus(X189,X190),X191) = vplus(X189,vplus(X190,X191)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(c_0_10,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) != vplus(vmul(vd411,vd413),vplus(vplus(vd411,v1),vd413)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_15,plain,
vplus(X1,X2) = vplus(X2,X1),
c_0_12 ).
cnf(c_0_16,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(ar,[status(thm)],[c_0_14,c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM844+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:15:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.41 % Version: 3.5.1
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.41 % Starting sh5l with 300s (1) cores
% 0.12/0.41 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2304265 completed with status 0
% 0.12/0.41 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.41 % No SInE strategy applied
% 0.12/0.41 % Search class: FGHSM-FFMM21-MFFFFFNN
% 0.12/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.41 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.12/0.41 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.12/0.41 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.41 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2304272 completed with status 0
% 0.12/0.41 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.41 % No SInE strategy applied
% 0.12/0.41 % Search class: FGHSM-FFMM21-MFFFFFNN
% 0.12/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.41 % Preprocessing time : 0.002 s
% 0.12/0.41 % Presaturation interreduction done
% 0.12/0.41
% 0.12/0.41 % Proof found!
% 0.12/0.41 % SZS status Theorem
% 0.12/0.41 % SZS output start CNFRefutation
% See solution above
% 0.12/0.41 % Parsed axioms : 54
% 0.12/0.41 % Removed by relevancy pruning/SinE : 0
% 0.12/0.41 % Initial clauses : 64
% 0.12/0.41 % Removed in clause preprocessing : 3
% 0.12/0.41 % Initial clauses in saturation : 61
% 0.12/0.41 % Processed clauses : 5
% 0.12/0.41 % ...of these trivial : 0
% 0.12/0.41 % ...subsumed : 0
% 0.12/0.41 % ...remaining for further processing : 4
% 0.12/0.41 % Other redundant clauses eliminated : 0
% 0.12/0.41 % Clauses deleted for lack of memory : 0
% 0.12/0.41 % Backward-subsumed : 0
% 0.12/0.41 % Backward-rewritten : 0
% 0.12/0.41 % Generated clauses : 0
% 0.12/0.41 % ...of the previous two non-redundant : 0
% 0.12/0.41 % ...aggressively subsumed : 0
% 0.12/0.41 % Contextual simplify-reflections : 0
% 0.12/0.41 % Paramodulations : 0
% 0.12/0.41 % Factorizations : 0
% 0.12/0.41 % NegExts : 0
% 0.12/0.41 % Equation resolutions : 0
% 0.12/0.41 % Disequality decompositions : 0
% 0.12/0.41 % Total rewrite steps : 0
% 0.12/0.41 % ...of those cached : 0
% 0.12/0.41 % Propositional unsat checks : 0
% 0.12/0.41 % Propositional check models : 0
% 0.12/0.41 % Propositional check unsatisfiable : 0
% 0.12/0.41 % Propositional clauses : 0
% 0.12/0.41 % Propositional clauses after purity: 0
% 0.12/0.41 % Propositional unsat core size : 0
% 0.12/0.41 % Propositional preprocessing time : 0.000
% 0.12/0.41 % Propositional encoding time : 0.000
% 0.12/0.41 % Propositional solver time : 0.000
% 0.12/0.41 % Success case prop preproc time : 0.000
% 0.12/0.41 % Success case prop encoding time : 0.000
% 0.12/0.41 % Success case prop solver time : 0.000
% 0.12/0.41 % Current number of processed clauses : 4
% 0.12/0.41 % Positive orientable unit clauses : 3
% 0.12/0.41 % Positive unorientable unit clauses: 0
% 0.12/0.41 % Negative unit clauses : 1
% 0.12/0.41 % Non-unit-clauses : 0
% 0.12/0.41 % Current number of unprocessed clauses: 56
% 0.12/0.41 % ...number of literals in the above : 109
% 0.12/0.41 % Current number of archived formulas : 0
% 0.12/0.41 % Current number of archived clauses : 1
% 0.12/0.41 % Clause-clause subsumption calls (NU) : 0
% 0.12/0.41 % Rec. Clause-clause subsumption calls : 0
% 0.12/0.41 % Non-unit clause-clause subsumptions : 0
% 0.12/0.41 % Unit Clause-clause subsumption calls : 0
% 0.12/0.41 % Rewrite failures with RHS unbound : 0
% 0.12/0.41 % BW rewrite match attempts : 0
% 0.12/0.41 % BW rewrite match successes : 0
% 0.12/0.41 % Condensation attempts : 0
% 0.12/0.41 % Condensation successes : 0
% 0.12/0.41 % Termbank termtop insertions : 3619
% 0.12/0.41 % Search garbage collected termcells : 667
% 0.12/0.41
% 0.12/0.41 % -------------------------------------------------
% 0.12/0.41 % User time : 0.005 s
% 0.12/0.41 % System time : 0.005 s
% 0.12/0.41 % Total time : 0.010 s
% 0.12/0.41 % Maximum resident set size: 3716 pages
% 0.12/0.41
% 0.12/0.41 % -------------------------------------------------
% 0.12/0.41 % User time : 0.014 s
% 0.12/0.41 % System time : 0.014 s
% 0.12/0.41 % Total time : 0.028 s
% 0.12/0.41 % Maximum resident set size: 4864 pages
% 0.12/0.41 % E exiting
%------------------------------------------------------------------------------