TSTP Solution File: NUM851+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:37:09 EDT 2022
% Result : Theorem 0.21s 1.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 42 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 8 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 89 ( 5 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(20, 0), 0)',axiom,
! [X87] :
( X87 != v1
=> X87 = vsucc(vskolem2(X87)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(20, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X85,X86] :
( vplus(X85,vsucc(X86)) = vsucc(vplus(X85,X86))
& vplus(X85,v1) = vsucc(X85) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X77,X78] : vplus(X78,X77) = vplus(X77,X78),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(61, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X93] : vsucc(X93) != v1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X72,X73] :
( X72 != X73
=> ! [X74] : vplus(X74,X72) != vplus(X74,X73) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(81, 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X82,X83,X84] : vplus(vplus(X82,X83),X84) = vplus(X82,vplus(X83,X84)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(33, 0), 0)') ).
fof('ass(cond(281, 0), 0)',axiom,
! [X4,X5,X6] : vmul(X4,vplus(X5,X6)) = vplus(vmul(X4,X5),vmul(X4,X6)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(281, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X12,X13] :
( vmul(X12,vsucc(X13)) = vplus(vmul(X12,X13),X12)
& vmul(X12,v1) = X12 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof('holds(conseq_conjunct1(conseq(302)), 474, 0)',axiom,
vd470 = vplus(vd471,vd473),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct1(conseq(302)), 474, 0)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X7,X8] : vmul(X7,X8) = vmul(X8,X7),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(270, 0), 0)') ).
fof('ass(cond(253, 0), 0)',axiom,
! [X11] : vmul(v1,X11) = X11,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(253, 0), 0)') ).
fof('holds(conseq_conjunct2(conseq(302)), 475, 1)',conjecture,
vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).
fof(c_0_12,plain,
! [X88] :
( X88 = v1
| X88 = vsucc(vskolem2(X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(c_0_13,plain,
! [X87,X88,X87] :
( vplus(X87,vsucc(X88)) = vsucc(vplus(X87,X88))
& vplus(X87,v1) = vsucc(X87) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))'])])]) ).
cnf(c_0_14,plain,
( X1 = vsucc(vskolem2(X1))
| X1 = v1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X79,X80] : vplus(X80,X79) = vplus(X79,X80),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_17,plain,
! [X94] : vsucc(X94) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(c_0_18,plain,
! [X75,X76,X77] :
( X75 = X76
| vplus(X77,X75) != vplus(X77,X76) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])])])]) ).
cnf(c_0_19,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X85,X86,X87] : vplus(vplus(X85,X86),X87) = vplus(X85,vplus(X86,X87)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
fof(c_0_23,plain,
! [X7,X8,X9] : vmul(X7,vplus(X8,X9)) = vplus(vmul(X7,X8),vmul(X7,X9)),
inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).
fof(c_0_24,plain,
! [X14,X15,X14] :
( vmul(X14,vsucc(X15)) = vplus(vmul(X14,X15),X14)
& vmul(X14,v1) = X14 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))'])])]) ).
cnf(c_0_25,plain,
( X2 = X3
| vplus(X1,X2) != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( vplus(v1,vskolem2(X1)) = X1
| X1 = v1 ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_28,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( X1 = vskolem2(X2)
| X2 = v1
| vplus(v1,X1) != X2 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
vplus(v1,X1) != v1,
inference(spm,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_33,plain,
vplus(vmul(X1,vplus(X2,X3)),X4) = vplus(vmul(X1,X2),vplus(vmul(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
vd470 = vplus(vd471,vd473),
inference(split_conjunct,[status(thm)],['holds(conseq_conjunct1(conseq(302)), 474, 0)']) ).
fof(c_0_35,plain,
! [X9,X10] : vmul(X9,X10) = vmul(X10,X9),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
cnf(c_0_36,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[c_0_30,c_0_15]) ).
fof(c_0_37,plain,
! [X12] : vmul(v1,X12) = X12,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
cnf(c_0_38,plain,
vskolem2(vplus(v1,X1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_31]),c_0_32]) ).
cnf(c_0_39,plain,
vplus(X1,vplus(X2,X3)) = vplus(X2,vplus(X3,X1)),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_40,plain,
vplus(vmul(X1,vd471),vplus(vmul(X1,vd473),X2)) = vplus(vmul(X1,vd470),X2),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
vplus(X1,vmul(X1,X2)) = vmul(X1,vplus(X2,v1)),
inference(rw,[status(thm)],[c_0_36,c_0_20]) ).
cnf(c_0_43,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(assume_negation,[status(cth)],['holds(conseq_conjunct2(conseq(302)), 475, 1)']) ).
cnf(c_0_45,plain,
vskolem2(vplus(X1,vplus(X2,v1))) = vplus(X1,X2),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
vplus(vmul(X1,vd471),vplus(vmul(vd473,X1),X2)) = vplus(vmul(X1,vd470),X2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
vskolem2(vplus(X1,v1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_43]),c_0_43]) ).
fof(c_0_48,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
vplus(vmul(X1,vd471),vmul(vd473,X1)) = vmul(X1,vd470),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_50,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,plain,
vplus(vmul(vd473,X1),vmul(X1,vd471)) = vmul(X1,vd470),
inference(spm,[status(thm)],[c_0_20,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vd470,vd469),
inference(rw,[status(thm)],[c_0_50,c_0_34]) ).
cnf(c_0_53,plain,
vplus(vmul(vd471,X1),vmul(vd473,X1)) = vmul(X1,vd470),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_20]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jul 7 20:40:51 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.21/1.39 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.21/1.39 # Preprocessing time : 0.017 s
% 0.21/1.39
% 0.21/1.39 # Proof found!
% 0.21/1.39 # SZS status Theorem
% 0.21/1.39 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 55
% 0.21/1.40 # Proof object clause steps : 31
% 0.21/1.40 # Proof object formula steps : 24
% 0.21/1.40 # Proof object conjectures : 6
% 0.21/1.40 # Proof object clause conjectures : 3
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 12
% 0.21/1.40 # Proof object initial formulas used : 12
% 0.21/1.40 # Proof object generating inferences : 12
% 0.21/1.40 # Proof object simplifying inferences : 14
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 54
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 64
% 0.21/1.40 # Removed in clause preprocessing : 2
% 0.21/1.40 # Initial clauses in saturation : 62
% 0.21/1.40 # Processed clauses : 548
% 0.21/1.40 # ...of these trivial : 38
% 0.21/1.40 # ...subsumed : 312
% 0.21/1.40 # ...remaining for further processing : 198
% 0.21/1.40 # Other redundant clauses eliminated : 33
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 2
% 0.21/1.40 # Backward-rewritten : 6
% 0.21/1.40 # Generated clauses : 7550
% 0.21/1.40 # ...of the previous two non-trivial : 7173
% 0.21/1.40 # Contextual simplify-reflections : 0
% 0.21/1.40 # Paramodulations : 7494
% 0.21/1.40 # Factorizations : 2
% 0.21/1.40 # Equation resolutions : 54
% 0.21/1.40 # Current number of processed clauses : 184
% 0.21/1.40 # Positive orientable unit clauses : 40
% 0.21/1.40 # Positive unorientable unit clauses: 24
% 0.21/1.40 # Negative unit clauses : 41
% 0.21/1.40 # Non-unit-clauses : 79
% 0.21/1.40 # Current number of unprocessed clauses: 6377
% 0.21/1.40 # ...number of literals in the above : 10167
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 9
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 681
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 652
% 0.21/1.40 # Non-unit clause-clause subsumptions : 44
% 0.21/1.40 # Unit Clause-clause subsumption calls : 302
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 354
% 0.21/1.40 # BW rewrite match successes : 92
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 79899
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.107 s
% 0.21/1.40 # System time : 0.010 s
% 0.21/1.40 # Total time : 0.117 s
% 0.21/1.40 # Maximum resident set size: 8856 pages
% 0.21/23.39 eprover: CPU time limit exceeded, terminating
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46 eprover: No such file or directory
%------------------------------------------------------------------------------