TSTP Solution File: ARI695_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI695_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 15:46:54 EDT 2022
% Result : Theorem 2.08s 0.65s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 20 unt; 2 typ; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number arithmetic : 167 ( 0 atm; 94 fun; 62 num; 11 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $int ).
tff(func_def_1,type,
c: $int ).
tff(f53,plain,
$false,
inference(trivial_inequality_removal,[],[f52]) ).
tff(f52,plain,
0 != 0,
inference(backward_demodulation,[],[f31,f49]) ).
tff(f49,plain,
! [X1: $int] : ( 0 = $product(0,X1) ),
inference(superposition,[],[f18,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X1,X0) = $product(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_154,[]) ).
tff(f31,plain,
0 != $product(0,d),
inference(evaluation,[],[f30]) ).
tff(f30,plain,
0 != $product(-1,$product(d,0)),
inference(forward_demodulation,[],[f29,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f29,plain,
0 != $product(-1,$product(d,$sum(c,$uminus(c)))),
inference(evaluation,[],[f28]) ).
tff(f28,plain,
0 != $product(-1,$product(d,$sum($sum(2,c),$sum(-2,$uminus(c))))),
inference(forward_demodulation,[],[f27,f19]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f27,plain,
0 != $product(-1,$sum($product(d,$sum(2,c)),$product(d,$sum(-2,$uminus(c))))),
inference(backward_demodulation,[],[f26,f19]) ).
tff(f26,plain,
0 != $sum($product(-1,$product(d,$sum(2,c))),$product(-1,$product(d,$sum(-2,$uminus(c))))),
inference(backward_demodulation,[],[f25,f16]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),X2) = $product(X0,$product(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f25,plain,
0 != $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum(-2,$uminus(c))))),
inference(evaluation,[],[f23]) ).
tff(f23,plain,
0 != $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c))))),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
0 != $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c))))),
inference(flattening,[],[f3]) ).
tff(f3,plain,
( ( ~ 0 )
= $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c))))) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
( ( ~ $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$difference($product(-1,2),c)))) )
= 0 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
$sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$difference($product(-1,2),c)))) = 0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI695=1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 15:59:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.56 % (28473)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.58 % (28473)Instruction limit reached!
% 0.20/0.58 % (28473)------------------------------
% 0.20/0.58 % (28473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28473)Termination reason: Unknown
% 0.20/0.58 % (28473)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (28473)Memory used [KB]: 895
% 0.20/0.58 % (28473)Time elapsed: 0.005 s
% 0.20/0.58 % (28473)Instructions burned: 2 (million)
% 0.20/0.58 % (28473)------------------------------
% 0.20/0.58 % (28473)------------------------------
% 0.20/0.58 % (28471)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.20/0.58 % (28485)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.58 % (28479)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.58 % (28471)Refutation not found, incomplete strategy% (28471)------------------------------
% 0.20/0.58 % (28471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28479)Instruction limit reached!
% 0.20/0.58 % (28479)------------------------------
% 0.20/0.58 % (28479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28485)Instruction limit reached!
% 0.20/0.58 % (28485)------------------------------
% 0.20/0.58 % (28485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28479)Termination reason: Unknown
% 0.20/0.58 % (28479)Termination phase: Property scanning
% 0.20/0.58
% 0.20/0.58 % (28479)Memory used [KB]: 895
% 0.20/0.58 % (28479)Time elapsed: 0.004 s
% 0.20/0.58 % (28479)Instructions burned: 2 (million)
% 0.20/0.58 % (28479)------------------------------
% 0.20/0.58 % (28479)------------------------------
% 0.20/0.58 % (28485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28485)Termination reason: Unknown
% 0.20/0.58 % (28485)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (28485)Memory used [KB]: 5373
% 0.20/0.58 % (28485)Time elapsed: 0.004 s
% 0.20/0.58 % (28485)Instructions burned: 2 (million)
% 0.20/0.58 % (28485)------------------------------
% 0.20/0.58 % (28485)------------------------------
% 0.20/0.58 % (28471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28471)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (28471)Memory used [KB]: 5500
% 0.20/0.58 % (28471)Time elapsed: 0.150 s
% 0.20/0.58 % (28471)Instructions burned: 3 (million)
% 0.20/0.58 % (28471)------------------------------
% 0.20/0.58 % (28471)------------------------------
% 0.20/0.59 % (28484)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.59 % (28489)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.59 % (28481)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.20/0.59 % (28489)Refutation not found, incomplete strategy% (28489)------------------------------
% 0.20/0.59 % (28489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (28481)Refutation not found, incomplete strategy% (28481)------------------------------
% 0.20/0.60 % (28481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (28489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (28489)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60
% 0.20/0.60 % (28489)Memory used [KB]: 5373
% 0.20/0.60 % (28489)Time elapsed: 0.162 s
% 0.20/0.60 % (28489)Instructions burned: 1 (million)
% 0.20/0.60 % (28489)------------------------------
% 0.20/0.60 % (28489)------------------------------
% 0.20/0.60 % (28481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (28481)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60
% 0.20/0.60 % (28481)Memory used [KB]: 5500
% 0.20/0.60 % (28481)Time elapsed: 0.162 s
% 0.20/0.60 % (28481)Instructions burned: 3 (million)
% 0.20/0.60 % (28481)------------------------------
% 0.20/0.60 % (28481)------------------------------
% 0.20/0.62 % (28486)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.62 % (28486)Instruction limit reached!
% 0.20/0.62 % (28486)------------------------------
% 0.20/0.62 % (28486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (28486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (28486)Termination reason: Unknown
% 0.20/0.62 % (28486)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (28486)Memory used [KB]: 5373
% 0.20/0.62 % (28486)Time elapsed: 0.003 s
% 0.20/0.62 % (28486)Instructions burned: 2 (million)
% 0.20/0.62 % (28486)------------------------------
% 0.20/0.62 % (28486)------------------------------
% 0.20/0.62 % (28482)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.62 % (28482)Instruction limit reached!
% 0.20/0.62 % (28482)------------------------------
% 0.20/0.62 % (28482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (28482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (28482)Termination reason: Unknown
% 0.20/0.62 % (28482)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (28482)Memory used [KB]: 895
% 0.20/0.62 % (28482)Time elapsed: 0.004 s
% 0.20/0.62 % (28482)Instructions burned: 2 (million)
% 0.20/0.62 % (28482)------------------------------
% 0.20/0.62 % (28482)------------------------------
% 0.20/0.62 % (28483)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.62 % (28483)Refutation not found, incomplete strategy% (28483)------------------------------
% 0.20/0.62 % (28483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (28483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (28483)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.62
% 0.20/0.62 % (28483)Memory used [KB]: 5373
% 0.20/0.62 % (28483)Time elapsed: 0.190 s
% 0.20/0.62 % (28483)Instructions burned: 1 (million)
% 0.20/0.62 % (28483)------------------------------
% 0.20/0.62 % (28483)------------------------------
% 0.20/0.62 % (28472)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.20/0.63 % (28498)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.63 % (28493)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.63 % (28472)Instruction limit reached!
% 0.20/0.63 % (28472)------------------------------
% 0.20/0.63 % (28472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63 % (28472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63 % (28492)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.20/0.63 % (28499)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/41Mi)
% 0.20/0.63 % (28493)Refutation not found, incomplete strategy% (28493)------------------------------
% 0.20/0.63 % (28493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63 % (28493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63 % (28493)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.63
% 0.20/0.63 % (28493)Memory used [KB]: 5373
% 0.20/0.63 % (28493)Time elapsed: 0.153 s
% 0.20/0.63 % (28493)Instructions burned: 3 (million)
% 0.20/0.63 % (28493)------------------------------
% 0.20/0.63 % (28493)------------------------------
% 0.20/0.63 % (28487)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/49Mi)
% 0.20/0.63 % (28475)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.20/0.63 % (28476)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 2.08/0.64 % (28474)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 2.08/0.64 % (28470)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 2.08/0.64 % (28480)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 2.08/0.64 % (28477)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 2.08/0.64 % (28494)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/47Mi)
% 2.08/0.64 % (28497)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 2.08/0.64 % (28494)First to succeed.
% 2.08/0.65 % (28496)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 2.08/0.65 % (28497)Refutation not found, incomplete strategy% (28497)------------------------------
% 2.08/0.65 % (28497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.65 % (28472)Termination reason: Unknown
% 2.08/0.65 % (28494)Refutation found. Thanks to Tanya!
% 2.08/0.65 % SZS status Theorem for theBenchmark
% 2.08/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.65 % (28494)------------------------------
% 2.08/0.65 % (28494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.65 % (28494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.65 % (28494)Termination reason: Refutation
% 2.08/0.65
% 2.08/0.65 % (28494)Memory used [KB]: 1023
% 2.08/0.65 % (28494)Time elapsed: 0.214 s
% 2.08/0.65 % (28494)Instructions burned: 4 (million)
% 2.08/0.65 % (28494)------------------------------
% 2.08/0.65 % (28494)------------------------------
% 2.08/0.65 % (28469)Success in time 0.286 s
%------------------------------------------------------------------------------