TSTP Solution File: NUM857+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:08:43 EDT 2023
% Result : Theorem 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 56 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 20 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 32 ( 0 sgn; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(conseq(323), 532, 0)',conjecture,
geq(vmul(vd526,vd529),vmul(vd527,vd530)),
file('/export/starexec/sandbox/tmp/tmp.yuIxGLJTHe/E---3.1_22631.p','holds(conseq(323), 532, 0)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X78,X79] :
( geq(X79,X78)
<=> ( greater(X79,X78)
| X79 = X78 ) ),
file('/export/starexec/sandbox/tmp/tmp.yuIxGLJTHe/E---3.1_22631.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('ass(cond(318, 0), 0)',axiom,
! [X1,X2,X3,X4] :
( ( ( greater(X3,X4)
& geq(X1,X2) )
| ( geq(X3,X4)
& greater(X1,X2) ) )
=> greater(vmul(X1,X3),vmul(X2,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.yuIxGLJTHe/E---3.1_22631.p','ass(cond(318, 0), 0)') ).
fof('holds(conjunct2(antec(323)), 531, 0)',axiom,
geq(vd529,vd530),
file('/export/starexec/sandbox/tmp/tmp.yuIxGLJTHe/E---3.1_22631.p','holds(conjunct2(antec(323)), 531, 0)') ).
fof('holds(conjunct1(antec(323)), 528, 0)',axiom,
geq(vd526,vd527),
file('/export/starexec/sandbox/tmp/tmp.yuIxGLJTHe/E---3.1_22631.p','holds(conjunct1(antec(323)), 528, 0)') ).
fof('ass(cond(299, 0), 2)',axiom,
! [X18,X23,X24] :
( greater(X23,X24)
=> greater(vmul(X23,X18),vmul(X24,X18)) ),
file('/export/starexec/sandbox/tmp/tmp.yuIxGLJTHe/E---3.1_22631.p','ass(cond(299, 0), 2)') ).
fof(c_0_6,negated_conjecture,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(323), 532, 0)'])]) ).
fof(c_0_7,plain,
! [X209,X210] :
( ( ~ geq(X210,X209)
| greater(X210,X209)
| X210 = X209 )
& ( ~ greater(X210,X209)
| geq(X210,X209) )
& ( X210 != X209
| geq(X210,X209) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
cnf(c_0_8,negated_conjecture,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X118,X119,X120,X121] :
( ( ~ greater(X120,X121)
| ~ geq(X118,X119)
| greater(vmul(X118,X120),vmul(X119,X121)) )
& ( ~ geq(X120,X121)
| ~ greater(X118,X119)
| greater(vmul(X118,X120),vmul(X119,X121)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(318, 0), 0)'])])]) ).
cnf(c_0_11,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
geq(vd529,vd530),
inference(split_conjunct,[status(thm)],['holds(conjunct2(antec(323)), 531, 0)']) ).
cnf(c_0_13,negated_conjecture,
~ greater(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( greater(vmul(X3,X1),vmul(X4,X2))
| ~ greater(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
geq(vd526,vd527),
inference(split_conjunct,[status(thm)],['holds(conjunct1(antec(323)), 528, 0)']) ).
cnf(c_0_16,plain,
( vd530 = vd529
| greater(vd529,vd530) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
~ greater(vd529,vd530),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,plain,
vd530 = vd529,
inference(sr,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_19,plain,
! [X141,X142,X143] :
( ~ greater(X142,X143)
| greater(vmul(X142,X141),vmul(X143,X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 2)'])]) ).
cnf(c_0_20,negated_conjecture,
~ greater(vmul(vd526,vd529),vmul(vd527,vd529)),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_21,plain,
( greater(vmul(X1,X3),vmul(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
( vd527 = vd526
| greater(vd526,vd527) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ greater(vd526,vd527),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
vd527 = vd526,
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
geq(X1,X1),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_25]),c_0_18]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 14:11:43 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.yuIxGLJTHe/E---3.1_22631.p
% 0.15/0.46 # Version: 3.1pre001
% 0.15/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.46 # Starting sh5l with 300s (1) cores
% 0.15/0.46 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 22708 completed with status 0
% 0.15/0.46 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.46 # No SInE strategy applied
% 0.15/0.46 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.15/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 811s (1) cores
% 0.15/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.46 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.46 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.46 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.15/0.46 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 22719 completed with status 0
% 0.15/0.46 # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.15/0.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.46 # No SInE strategy applied
% 0.15/0.46 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.15/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 811s (1) cores
% 0.15/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.46 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.46 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.46 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.15/0.46 # Preprocessing time : 0.001 s
% 0.15/0.46 # Presaturation interreduction done
% 0.15/0.46
% 0.15/0.46 # Proof found!
% 0.15/0.46 # SZS status Theorem
% 0.15/0.46 # SZS output start CNFRefutation
% See solution above
% 0.15/0.46 # Parsed axioms : 61
% 0.15/0.46 # Removed by relevancy pruning/SinE : 0
% 0.15/0.46 # Initial clauses : 72
% 0.15/0.46 # Removed in clause preprocessing : 3
% 0.15/0.46 # Initial clauses in saturation : 69
% 0.15/0.46 # Processed clauses : 599
% 0.15/0.46 # ...of these trivial : 98
% 0.15/0.46 # ...subsumed : 228
% 0.15/0.46 # ...remaining for further processing : 273
% 0.15/0.46 # Other redundant clauses eliminated : 21
% 0.15/0.46 # Clauses deleted for lack of memory : 0
% 0.15/0.46 # Backward-subsumed : 4
% 0.15/0.46 # Backward-rewritten : 9
% 0.15/0.46 # Generated clauses : 2821
% 0.15/0.46 # ...of the previous two non-redundant : 2321
% 0.15/0.46 # ...aggressively subsumed : 0
% 0.15/0.46 # Contextual simplify-reflections : 0
% 0.15/0.46 # Paramodulations : 2790
% 0.15/0.46 # Factorizations : 2
% 0.15/0.46 # NegExts : 0
% 0.15/0.46 # Equation resolutions : 26
% 0.15/0.46 # Total rewrite steps : 1090
% 0.15/0.46 # Propositional unsat checks : 0
% 0.15/0.46 # Propositional check models : 0
% 0.15/0.46 # Propositional check unsatisfiable : 0
% 0.15/0.46 # Propositional clauses : 0
% 0.15/0.46 # Propositional clauses after purity: 0
% 0.15/0.46 # Propositional unsat core size : 0
% 0.15/0.46 # Propositional preprocessing time : 0.000
% 0.15/0.46 # Propositional encoding time : 0.000
% 0.15/0.46 # Propositional solver time : 0.000
% 0.15/0.46 # Success case prop preproc time : 0.000
% 0.15/0.46 # Success case prop encoding time : 0.000
% 0.15/0.46 # Success case prop solver time : 0.000
% 0.15/0.46 # Current number of processed clauses : 189
% 0.15/0.46 # Positive orientable unit clauses : 89
% 0.15/0.46 # Positive unorientable unit clauses: 6
% 0.15/0.46 # Negative unit clauses : 22
% 0.15/0.46 # Non-unit-clauses : 72
% 0.15/0.46 # Current number of unprocessed clauses: 1848
% 0.15/0.46 # ...number of literals in the above : 3137
% 0.15/0.46 # Current number of archived formulas : 0
% 0.15/0.46 # Current number of archived clauses : 76
% 0.15/0.46 # Clause-clause subsumption calls (NU) : 815
% 0.15/0.46 # Rec. Clause-clause subsumption calls : 764
% 0.15/0.46 # Non-unit clause-clause subsumptions : 115
% 0.15/0.46 # Unit Clause-clause subsumption calls : 369
% 0.15/0.46 # Rewrite failures with RHS unbound : 0
% 0.15/0.46 # BW rewrite match attempts : 212
% 0.15/0.46 # BW rewrite match successes : 29
% 0.15/0.46 # Condensation attempts : 0
% 0.15/0.46 # Condensation successes : 0
% 0.15/0.46 # Termbank termtop insertions : 23266
% 0.15/0.46
% 0.15/0.46 # -------------------------------------------------
% 0.15/0.46 # User time : 0.034 s
% 0.15/0.46 # System time : 0.007 s
% 0.15/0.46 # Total time : 0.041 s
% 0.15/0.46 # Maximum resident set size: 2040 pages
% 0.15/0.46
% 0.15/0.46 # -------------------------------------------------
% 0.15/0.46 # User time : 0.172 s
% 0.15/0.46 # System time : 0.019 s
% 0.15/0.46 # Total time : 0.191 s
% 0.15/0.46 # Maximum resident set size: 1796 pages
% 0.15/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------