%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM841+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 : n003.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 01:50:48 PM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 42 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 9 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(214, 352, 0)',conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(214, 352, 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X47,X48] : vplus(X48,X47) = vplus(X47,X48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X28,X29] :
( greater(X28,X29)
=> less(X29,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('holds(213, 351, 1)',axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(213, 351, 1)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X26,X27] :
( less(X26,X27)
=> greater(X27,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X15,X16,X17] :
( ( less(X15,X16)
& less(X16,X17) )
=> less(X15,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('holds(212, 350, 0)',axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(212, 350, 0)') ).
fof(c_0_7,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(assume_negation,[status(cth)],['holds(214, 352, 0)']) ).
fof(c_0_8,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_9,plain,
! [X144,X145] : vplus(X145,X144) = vplus(X144,X145),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_10,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X103,X104] :
( less(X104,X103)
| ~ greater(X103,X104) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])])]) ).
cnf(c_0_12,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(split_conjunct,[status(thm)],['holds(213, 351, 1)']) ).
cnf(c_0_13,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X101,X102] :
( greater(X102,X101)
| ~ less(X101,X102) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])])]) ).
fof(c_0_16,plain,
! [X90,X91,X92] :
( less(X90,X92)
| ~ less(X90,X91)
| ~ less(X91,X92) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])])]) ).
cnf(c_0_17,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
greater(vplus(vd345,vd347),vplus(vd345,vd348)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_19,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(split_conjunct,[status(thm)],['holds(212, 350, 0)']) ).
cnf(c_0_20,negated_conjecture,
~ greater(vplus(vd347,vd344),vplus(vd345,vd348)),
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_21,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( ~ less(X3,X1)
| ~ less(X1,X2)
| less(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
less(vplus(vd345,vd348),vplus(vd345,vd347)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
greater(vplus(vd347,vd344),vplus(vd345,vd347)),
inference(rw,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_25,negated_conjecture,
~ less(vplus(vd345,vd348),vplus(vd347,vd344)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ less(vplus(vd345,vd347),X1)
| less(vplus(vd345,vd348),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
less(vplus(vd345,vd347),vplus(vd347,vd344)),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM841+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:14:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.44 % Version: 3.5.1
% 0.12/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3276332 completed with status 0
% 0.12/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.44 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.44 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.12/0.44 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.12/0.44 % SubtermCWHack with pid 3276338 completed with status 0
% 0.12/0.44 % Result found by SubtermCWHack
% 0.12/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Preprocessing time : 0.002 s
% 0.12/0.44
% 0.12/0.44 % Proof found!
% 0.12/0.44 % SZS status Theorem
% 0.12/0.44 % SZS output start CNFRefutation
% See solution above
% 0.12/0.44 % Parsed axioms : 45
% 0.12/0.44 % Removed by relevancy pruning/SinE : 0
% 0.12/0.44 % Initial clauses : 53
% 0.12/0.44 % Removed in clause preprocessing : 2
% 0.12/0.44 % Initial clauses in saturation : 51
% 0.12/0.44 % Processed clauses : 374
% 0.12/0.44 % ...of these trivial : 38
% 0.12/0.44 % ...subsumed : 175
% 0.12/0.44 % ...remaining for further processing : 161
% 0.12/0.44 % Other redundant clauses eliminated : 31
% 0.12/0.44 % Clauses deleted for lack of memory : 0
% 0.12/0.44 % Backward-subsumed : 11
% 0.12/0.44 % Backward-rewritten : 21
% 0.12/0.44 % Generated clauses : 897
% 0.12/0.44 % ...of the previous two non-redundant : 739
% 0.12/0.44 % ...aggressively subsumed : 0
% 0.12/0.44 % Contextual simplify-reflections : 0
% 0.12/0.44 % Paramodulations : 861
% 0.12/0.44 % Factorizations : 2
% 0.12/0.44 % NegExts : 0
% 0.12/0.44 % Equation resolutions : 34
% 0.12/0.44 % Disequality decompositions : 0
% 0.12/0.44 % Total rewrite steps : 218
% 0.12/0.44 % ...of those cached : 115
% 0.12/0.44 % Propositional unsat checks : 0
% 0.12/0.44 % Propositional check models : 0
% 0.12/0.44 % Propositional check unsatisfiable : 0
% 0.12/0.44 % Propositional clauses : 0
% 0.12/0.44 % Propositional clauses after purity: 0
% 0.12/0.44 % Propositional unsat core size : 0
% 0.12/0.44 % Propositional preprocessing time : 0.000
% 0.12/0.44 % Propositional encoding time : 0.000
% 0.12/0.44 % Propositional solver time : 0.000
% 0.12/0.44 % Success case prop preproc time : 0.000
% 0.12/0.44 % Success case prop encoding time : 0.000
% 0.12/0.44 % Success case prop solver time : 0.000
% 0.12/0.44 % Current number of processed clauses : 120
% 0.12/0.44 % Positive orientable unit clauses : 34
% 0.12/0.44 % Positive unorientable unit clauses: 1
% 0.12/0.44 % Negative unit clauses : 29
% 0.12/0.44 % Non-unit-clauses : 56
% 0.12/0.44 % Current number of unprocessed clauses: 400
% 0.12/0.44 % ...number of literals in the above : 940
% 0.12/0.44 % Current number of archived formulas : 0
% 0.12/0.44 % Current number of archived clauses : 33
% 0.12/0.44 % Clause-clause subsumption calls (NU) : 213
% 0.12/0.44 % Rec. Clause-clause subsumption calls : 193
% 0.12/0.44 % Non-unit clause-clause subsumptions : 29
% 0.12/0.44 % Unit Clause-clause subsumption calls : 239
% 0.12/0.44 % Rewrite failures with RHS unbound : 0
% 0.12/0.44 % BW rewrite match attempts : 41
% 0.12/0.44 % BW rewrite match successes : 28
% 0.12/0.44 % Condensation attempts : 0
% 0.12/0.44 % Condensation successes : 0
% 0.12/0.44 % Termbank termtop insertions : 8213
% 0.12/0.44 % Search garbage collected termcells : 554
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.018 s
% 0.12/0.44 % System time : 0.006 s
% 0.12/0.44 % Total time : 0.024 s
% 0.12/0.44 % Maximum resident set size: 3696 pages
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.063 s
% 0.12/0.44 % System time : 0.020 s
% 0.12/0.44 % Total time : 0.084 s
% 0.12/0.44 % Maximum resident set size: 4864 pages
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------