TSTP Solution File: NUM423+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.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 : Wed Aug 31 18:05:02 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 49 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 17 ~; 12 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(subsumption_resolution,[],[f177,f142]) ).
fof(f142,plain,
sz00 != sF2,
inference(subsumption_resolution,[],[f141,f99]) ).
fof(f99,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f141,plain,
( ~ aInteger0(sz00)
| sz00 != sF2 ),
inference(superposition,[],[f106,f127]) ).
fof(f127,plain,
sz00 = sdtasdt0(xq,sz00),
inference(resolution,[],[f79,f78]) ).
fof(f78,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( aInteger0(xq)
& sz00 != xq
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__671) ).
fof(f79,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f106,plain,
! [X0] :
( sdtasdt0(xq,X0) != sF2
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f85,f105,f104]) ).
fof(f104,plain,
smndt0(xa) = sF1,
introduced(function_definition,[]) ).
fof(f105,plain,
sF2 = sdtpldt0(xa,sF1),
introduced(function_definition,[]) ).
fof(f85,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa))
| ~ aInteger0(X0) )
& ~ sdteqdtlpzmzozddtrp0(xa,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,negated_conjecture,
~ ( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa)) )
| sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa)) )
| sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f177,plain,
sz00 = sF2,
inference(backward_demodulation,[],[f105,f176]) ).
fof(f176,plain,
sz00 = sdtpldt0(xa,sF1),
inference(forward_demodulation,[],[f173,f104]) ).
fof(f173,plain,
sz00 = sdtpldt0(xa,smndt0(xa)),
inference(resolution,[],[f88,f76]) ).
fof(f76,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f20]) ).
fof(f88,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtpldt0(X0,smndt0(X0))
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(X0,smndt0(X0))
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:30:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (18207)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (18223)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (18206)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (18215)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (18207)Instruction limit reached!
% 0.20/0.55 % (18207)------------------------------
% 0.20/0.55 % (18207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18207)Termination reason: Unknown
% 0.20/0.55 % (18207)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (18207)Memory used [KB]: 895
% 0.20/0.55 % (18207)Time elapsed: 0.004 s
% 0.20/0.55 % (18207)Instructions burned: 2 (million)
% 0.20/0.55 % (18207)------------------------------
% 0.20/0.55 % (18207)------------------------------
% 0.20/0.56 % (18206)Instruction limit reached!
% 0.20/0.56 % (18206)------------------------------
% 0.20/0.56 % (18206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (18222)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (18214)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.57 % (18214)First to succeed.
% 0.20/0.57 % (18206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (18206)Termination reason: Unknown
% 0.20/0.57 % (18206)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (18206)Memory used [KB]: 5500
% 0.20/0.57 % (18206)Time elapsed: 0.129 s
% 0.20/0.57 % (18206)Instructions burned: 8 (million)
% 0.20/0.57 % (18206)------------------------------
% 0.20/0.57 % (18206)------------------------------
% 0.20/0.57 % (18222)Also succeeded, but the first one will report.
% 0.20/0.57 % (18214)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (18214)------------------------------
% 0.20/0.57 % (18214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (18214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (18214)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (18214)Memory used [KB]: 1023
% 0.20/0.57 % (18214)Time elapsed: 0.144 s
% 0.20/0.57 % (18214)Instructions burned: 6 (million)
% 0.20/0.57 % (18214)------------------------------
% 0.20/0.57 % (18214)------------------------------
% 0.20/0.57 % (18198)Success in time 0.214 s
%------------------------------------------------------------------------------