TSTP Solution File: NUM841+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : 300s
% DateTime : Tue Apr 30 20:35:54 EDT 2024
% Result : Theorem 8.13s 1.44s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 79 ( 22 unt; 0 def)
% Number of atoms : 148 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 131 ( 62 ~; 58 |; 1 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(vd347,vd348),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(vd344,vd345),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Vd328,Vd329,Vd330] :
( greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
=> greater(Vd328,Vd329) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Vd301,Vd302,Vd303] :
( greater(Vd301,Vd302)
=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Vd262,Vd263,Vd265] :
( ( less(Vd263,Vd265)
& less(Vd262,Vd263) )
=> less(Vd262,Vd265) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Vd208,Vd209] :
( greater(Vd208,Vd209)
=> less(Vd209,Vd208) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Vd203,Vd204] :
( Vd203 = Vd204
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [Vd203,Vd204] :
( Vd203 != Vd204
| ~ greater(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f51,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f52,plain,
greater(vd347,vd348),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f53,plain,
greater(vd344,vd345),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f60,plain,
! [Vd328,Vd329,Vd330] :
( ~ greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
| greater(Vd328,Vd329) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f61,plain,
! [Vd328,Vd329] :
( ! [Vd330] : ~ greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
| greater(Vd328,Vd329) ),
inference(miniscoping,[status(esa)],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ greater(vplus(X0,X1),vplus(X2,X1))
| greater(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f69,plain,
! [Vd301,Vd302,Vd303] :
( ~ greater(Vd301,Vd302)
| greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f70,plain,
! [Vd301,Vd302] :
( ~ greater(Vd301,Vd302)
| ! [Vd303] : greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
inference(miniscoping,[status(esa)],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f80,plain,
! [Vd262,Vd263,Vd265] :
( ~ less(Vd263,Vd265)
| ~ less(Vd262,Vd263)
| less(Vd262,Vd265) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f81,plain,
! [Vd262,Vd265] :
( ! [Vd263] :
( ~ less(Vd263,Vd265)
| ~ less(Vd262,Vd263) )
| less(Vd262,Vd265) ),
inference(miniscoping,[status(esa)],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f97,plain,
! [Vd226,Vd227] :
( ~ less(Vd226,Vd227)
| greater(Vd227,Vd226) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f98,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
! [Vd208,Vd209] :
( ~ greater(Vd208,Vd209)
| less(Vd209,Vd208) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f100,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f103,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f126,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f144,plain,
! [X0] : ~ greater(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f104]) ).
fof(f156,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| greater(X1,X0) ),
inference(resolution,[status(thm)],[f101,f98]) ).
fof(f165,plain,
greater(vplus(vd347,vd345),vplus(vd345,vd348)),
inference(forward_demodulation,[status(thm)],[f126,f49]) ).
fof(f167,plain,
( spl0_0
<=> vplus(vd345,vd348) = vplus(vd344,vd347) ),
introduced(split_symbol_definition) ).
fof(f168,plain,
( vplus(vd345,vd348) = vplus(vd344,vd347)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( spl0_1
<=> greater(vplus(vd345,vd348),vplus(vd344,vd347)) ),
introduced(split_symbol_definition) ).
fof(f171,plain,
( greater(vplus(vd345,vd348),vplus(vd344,vd347))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( vplus(vd345,vd348) = vplus(vd344,vd347)
| greater(vplus(vd345,vd348),vplus(vd344,vd347)) ),
inference(resolution,[status(thm)],[f156,f47]) ).
fof(f174,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f173,f167,f170]) ).
fof(f176,plain,
( greater(vplus(vd347,vd345),vplus(vd344,vd347))
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f168,f165]) ).
fof(f198,plain,
( less(vplus(vd344,vd347),vplus(vd345,vd348))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f171,f100]) ).
fof(f203,plain,
greater(vplus(vd344,vd347),vplus(vd347,vd345)),
inference(forward_demodulation,[status(thm)],[f126,f51]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ~ greater(vplus(X0,X1),vplus(X2,X0))
| greater(X1,X2) ),
inference(paramodulation,[status(thm)],[f126,f62]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| less(vplus(X1,X2),vplus(X0,X2)) ),
inference(resolution,[status(thm)],[f71,f100]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X2,X1)) ),
inference(paramodulation,[status(thm)],[f126,f71]) ).
fof(f383,plain,
! [X0,X1,X2] :
( ~ greater(vplus(X0,X1),vplus(X0,X2))
| greater(X1,X2) ),
inference(paramodulation,[status(thm)],[f126,f206]) ).
fof(f395,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| ~ greater(vplus(X1,X2),vplus(X0,X2)) ),
inference(resolution,[status(thm)],[f210,f103]) ).
fof(f526,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(resolution,[status(thm)],[f395,f214]) ).
fof(f546,plain,
~ greater(vd345,vd344),
inference(resolution,[status(thm)],[f526,f53]) ).
fof(f547,plain,
~ greater(vd348,vd347),
inference(resolution,[status(thm)],[f526,f52]) ).
fof(f548,plain,
( spl0_6
<=> vd344 = vd345 ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( vd344 = vd345
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_7
<=> greater(vd344,vd345) ),
introduced(split_symbol_definition) ).
fof(f554,plain,
( vd344 = vd345
| greater(vd344,vd345) ),
inference(resolution,[status(thm)],[f546,f156]) ).
fof(f555,plain,
( spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f554,f548,f551]) ).
fof(f560,plain,
( greater(vplus(vd344,vd347),vplus(vd347,vd344))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f549,f203]) ).
fof(f561,plain,
( greater(vplus(vd344,vd347),vplus(vd344,vd347))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f126,f560]) ).
fof(f562,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f144]) ).
fof(f563,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f1589,plain,
( greater(vd345,vd344)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f176,f206]) ).
fof(f1590,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1589,f546]) ).
fof(f1591,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f1590]) ).
fof(f1631,plain,
! [X0] :
( ~ less(vplus(vd345,vd348),X0)
| less(vplus(vd344,vd347),X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f198,f82]) ).
fof(f1733,plain,
! [X0] :
( less(vplus(vd344,vd347),vplus(X0,vd348))
| ~ greater(X0,vd345)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f1631,f210]) ).
fof(f6500,plain,
( spl0_50
<=> greater(vd348,vd347) ),
introduced(split_symbol_definition) ).
fof(f6501,plain,
( greater(vd348,vd347)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f6500]) ).
fof(f6562,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f6501,f547]) ).
fof(f6563,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f6562]) ).
fof(f7109,plain,
! [X0] :
( ~ greater(X0,vd345)
| greater(vplus(X0,vd348),vplus(vd344,vd347))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f1733,f98]) ).
fof(f7244,plain,
( ~ greater(vd344,vd345)
| greater(vd348,vd347)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f7109,f383]) ).
fof(f7245,plain,
( ~ spl0_7
| spl0_50
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f7244,f551,f6500,f170]) ).
fof(f7283,plain,
$false,
inference(sat_refutation,[status(thm)],[f174,f555,f563,f1591,f6563,f7245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n009.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 20:52:56 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 8.13/1.44 % Refutation found
% 8.13/1.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.13/1.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.69/1.48 % Elapsed time: 1.119033 seconds
% 8.69/1.48 % CPU time: 8.746389 seconds
% 8.69/1.48 % Total memory used: 135.120 MB
% 8.69/1.48 % Net memory used: 131.889 MB
%------------------------------------------------------------------------------