%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM853+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 : n006.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 01:50:51 PM UTC 2026
% Result : Theorem 0.69s 0.54s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 16 unt; 0 def)
% Number of atoms : 66 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 24 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X67,X68] :
( ~ less(X67,X68)
| ~ greater(X67,X68) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X65,X66] :
( greater(X65,X66)
=> less(X66,X65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X14,X15] : vmul(X14,X15) = vmul(X15,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof('holds(antec(307), 489, 0)',axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).
fof('ass(cond(299, 0), 2)',axiom,
! [X1,X6,X7] :
( greater(X6,X7)
=> greater(vmul(X6,X1),vmul(X7,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof('holds(conseq(307), 490, 0)',conjecture,
greater(vd486,vd488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X63,X64] :
( less(X63,X64)
=> greater(X64,X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X67,X68] :
( less(X67,X68)
| greater(X67,X68)
| X67 = X68 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X67,X68] :
( ~ greater(X67,X68)
| X67 != X68 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(c_0_9,plain,
! [X67,X68] :
( ~ less(X67,X68)
| ~ greater(X67,X68) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(c_0_10,plain,
! [X185,X186] :
( ~ less(X185,X186)
| ~ greater(X185,X186) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
fof(c_0_11,plain,
! [X179,X180] :
( less(X180,X179)
| ~ greater(X179,X180) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])])]) ).
fof(c_0_12,plain,
! [X116,X117] : vmul(X116,X117) = vmul(X117,X116),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
cnf(c_0_13,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(split_conjunct,[status(thm)],['holds(antec(307), 489, 0)']) ).
cnf(c_0_16,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X107,X108,X109] :
( greater(vmul(X108,X107),vmul(X109,X107))
| ~ greater(X108,X109) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 2)'])])]) ).
fof(c_0_18,negated_conjecture,
~ greater(vd486,vd488),
inference(assume_negation,[status(cth)],['holds(conseq(307), 490, 0)']) ).
cnf(c_0_19,plain,
( ~ greater(X2,X1)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
greater(vmul(vd486,vd487),vmul(vd487,vd488)),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ greater(X1,X2)
| greater(vmul(X1,X3),vmul(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X177,X178] :
( greater(X178,X177)
| ~ less(X177,X178) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])])]) ).
fof(c_0_23,plain,
! [X181,X182] :
( less(X181,X182)
| greater(X181,X182)
| X181 = X182 ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(c_0_24,negated_conjecture,
~ greater(vd486,vd488),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X67,X68] :
( ~ greater(X67,X68)
| X67 != X68 ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
cnf(c_0_26,plain,
~ greater(vmul(vd487,vd488),vmul(vd486,vd487)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( ~ greater(X2,X3)
| greater(vmul(X1,X2),vmul(X3,X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_28,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( less(X1,X2)
| greater(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,negated_conjecture,
~ greater(vd486,vd488),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X187,X188] :
( ~ greater(X187,X188)
| X187 != X188 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).
cnf(c_0_32,plain,
~ greater(vd488,vd486),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( greater(X2,X1)
| greater(X1,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
~ greater(vd486,vd488),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
vd488 = vd486,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_37,plain,
~ greater(X1,X1),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_38,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_36]),c_0_16]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM853+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:13:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.69/0.54 % Version: 3.5.1
% 0.69/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.69/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.69/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.69/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.69/0.54 % Starting sh5l with 300s (1) cores
% 0.69/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1880375 completed with status 0
% 0.69/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.69/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.69/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.69/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.69/0.54 % No SInE strategy applied
% 0.69/0.54 % Search class: FGHSM-FFMF21-SFFFFFNN
% 0.69/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.69/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.69/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.69/0.54 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.69/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.69/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.69/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1880382 completed with status 0
% 0.69/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.69/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.69/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.69/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.69/0.54 % No SInE strategy applied
% 0.69/0.54 % Search class: FGHSM-FFMF21-SFFFFFNN
% 0.69/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.69/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.69/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.69/0.54 % Preprocessing time : 0.002 s
% 0.69/0.54 % Presaturation interreduction done
% 0.69/0.54
% 0.69/0.54 % Proof found!
% 0.69/0.54 % SZS status Theorem
% 0.69/0.54 % SZS output start CNFRefutation
% See solution above
% 0.69/0.54 % Parsed axioms : 55
% 0.69/0.54 % Removed by relevancy pruning/SinE : 0
% 0.69/0.54 % Initial clauses : 65
% 0.69/0.54 % Removed in clause preprocessing : 3
% 0.69/0.54 % Initial clauses in saturation : 62
% 0.69/0.54 % Processed clauses : 1343
% 0.69/0.54 % ...of these trivial : 31
% 0.69/0.54 % ...subsumed : 911
% 0.69/0.54 % ...remaining for further processing : 401
% 0.69/0.54 % Other redundant clauses eliminated : 98
% 0.69/0.54 % Clauses deleted for lack of memory : 0
% 0.69/0.54 % Backward-subsumed : 16
% 0.69/0.54 % Backward-rewritten : 18
% 0.69/0.54 % Generated clauses : 6562
% 0.69/0.54 % ...of the previous two non-redundant : 6167
% 0.69/0.54 % ...aggressively subsumed : 0
% 0.69/0.54 % Contextual simplify-reflections : 2
% 0.69/0.54 % Paramodulations : 6458
% 0.69/0.54 % Factorizations : 2
% 0.69/0.54 % NegExts : 0
% 0.69/0.54 % Equation resolutions : 102
% 0.69/0.54 % Disequality decompositions : 0
% 0.69/0.54 % Total rewrite steps : 1402
% 0.69/0.54 % ...of those cached : 1044
% 0.69/0.54 % Propositional unsat checks : 0
% 0.69/0.54 % Propositional check models : 0
% 0.69/0.54 % Propositional check unsatisfiable : 0
% 0.69/0.54 % Propositional clauses : 0
% 0.69/0.54 % Propositional clauses after purity: 0
% 0.69/0.54 % Propositional unsat core size : 0
% 0.69/0.54 % Propositional preprocessing time : 0.000
% 0.69/0.54 % Propositional encoding time : 0.000
% 0.69/0.54 % Propositional solver time : 0.000
% 0.69/0.54 % Success case prop preproc time : 0.000
% 0.69/0.54 % Success case prop encoding time : 0.000
% 0.69/0.54 % Success case prop solver time : 0.000
% 0.69/0.54 % Current number of processed clauses : 306
% 0.69/0.54 % Positive orientable unit clauses : 41
% 0.69/0.54 % Positive unorientable unit clauses: 9
% 0.69/0.54 % Negative unit clauses : 60
% 0.69/0.54 % Non-unit-clauses : 196
% 0.69/0.54 % Current number of unprocessed clauses: 4919
% 0.69/0.54 % ...number of literals in the above : 9992
% 0.69/0.54 % Current number of archived formulas : 0
% 0.69/0.54 % Current number of archived clauses : 87
% 0.69/0.54 % Clause-clause subsumption calls (NU) : 5782
% 0.69/0.54 % Rec. Clause-clause subsumption calls : 4433
% 0.69/0.54 % Non-unit clause-clause subsumptions : 302
% 0.69/0.54 % Unit Clause-clause subsumption calls : 2089
% 0.69/0.54 % Rewrite failures with RHS unbound : 0
% 0.69/0.54 % BW rewrite match attempts : 125
% 0.69/0.54 % BW rewrite match successes : 89
% 0.69/0.54 % Condensation attempts : 0
% 0.69/0.54 % Condensation successes : 0
% 0.69/0.54 % Termbank termtop insertions : 52225
% 0.69/0.54 % Search garbage collected termcells : 706
% 0.69/0.54
% 0.69/0.54 % -------------------------------------------------
% 0.69/0.54 % User time : 0.104 s
% 0.69/0.54 % System time : 0.009 s
% 0.69/0.54 % Total time : 0.113 s
% 0.69/0.54 % Maximum resident set size: 3676 pages
% 0.69/0.54
% 0.69/0.54 % -------------------------------------------------
% 0.69/0.54 % User time : 0.482 s
% 0.69/0.54 % System time : 0.047 s
% 0.69/0.54 % Total time : 0.529 s
% 0.69/0.54 % Maximum resident set size: 4608 pages
% 0.69/0.54 % E exiting
%------------------------------------------------------------------------------