TSTP Solution File: ARI690_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI690_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_sat --cores 0 -t %d %s
% Computer : n014.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 15:48:59 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 24 unt; 4 typ; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 61 ( 0 atm; 34 fun; 17 num; 10 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 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
c: $int ).
tff(func_def_1,type,
d: $int ).
tff(func_def_2,type,
a: $int ).
tff(func_def_10,type,
sF0: $int ).
tff(f481,plain,
$false,
inference(subsumption_resolution,[],[f480,f30]) ).
tff(f30,plain,
a != sF0,
inference(definition_folding,[],[f27,f29]) ).
tff(f29,plain,
$product(2,c) = sF0,
introduced(function_definition,[]) ).
tff(f27,plain,
a != $product(2,c),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
a != $product(2,c),
inference(flattening,[],[f4]) ).
tff(f4,negated_conjecture,
( ( ~ a )
= $product(2,c) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
a = $product(2,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f480,plain,
a = sF0,
inference(backward_demodulation,[],[f29,f454]) ).
tff(f454,plain,
a = $product(2,c),
inference(backward_demodulation,[],[f25,f453]) ).
tff(f453,plain,
d = c,
inference(forward_demodulation,[],[f452,f8]) ).
tff(f8,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f452,plain,
d = $sum(c,0),
inference(evaluation,[],[f449]) ).
tff(f449,plain,
$uminus($uminus(d)) = $sum(c,0),
inference(superposition,[],[f239,f10]) ).
tff(f10,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f239,plain,
! [X10: $int] : ( $sum(c,$sum($uminus(d),X10)) = X10 ),
inference(forward_demodulation,[],[f219,f51]) ).
tff(f51,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f6,f8]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f219,plain,
! [X10: $int] : ( $sum(0,X10) = $sum(c,$sum($uminus(d),X10)) ),
inference(superposition,[],[f7,f26]) ).
tff(f26,plain,
0 = $sum(c,$uminus(d)),
inference(cnf_transformation,[],[f5]) ).
tff(f5,plain,
0 = $sum(c,$uminus(d)),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
$difference(c,d) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).
tff(f7,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f25,plain,
$product(2,d) = a,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(2,d) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI690=1 : TPTP v8.1.0. Released v6.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:56:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (18250)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.49 % (18243)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (18265)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.51 % (18251)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51 % (18240)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 % (18266)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.52 % (18241)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.52 % (18261)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.52 % (18242)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 % (18258)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.52 % (18253)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.52 % (18244)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.52 % (18239)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.52 % (18239)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (18239)Terminated due to inappropriate strategy.
% 0.20/0.52 % (18239)------------------------------
% 0.20/0.52 % (18239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18239)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (18239)Memory used [KB]: 895
% 0.20/0.52 % (18239)Time elapsed: 0.002 s
% 0.20/0.52 % (18239)Instructions burned: 1 (million)
% 0.20/0.52 % (18239)------------------------------
% 0.20/0.52 % (18239)------------------------------
% 0.20/0.53 % (18263)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.53 % (18252)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.53 % (18268)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.53 % (18256)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.53 % (18256)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53 % (18256)Terminated due to inappropriate strategy.
% 0.20/0.53 % (18256)------------------------------
% 0.20/0.53 % (18256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18256)Termination reason: Inappropriate
% 0.20/0.53
% 0.20/0.53 % (18256)Memory used [KB]: 895
% 0.20/0.53 % (18256)Time elapsed: 0.001 s
% 0.20/0.53 % (18256)------------------------------
% 0.20/0.53 % (18256)------------------------------
% 0.20/0.53 % (18257)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.53 % (18262)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 (3000ds/467Mi)
% 0.20/0.53 % (18254)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 (3000ds/75Mi)
% 0.20/0.53 % (18247)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.53 % (18243)First to succeed.
% 0.20/0.53 % (18258)Also succeeded, but the first one will report.
% 0.20/0.53 % (18247)Instruction limit reached!
% 0.20/0.53 % (18247)------------------------------
% 0.20/0.53 % (18247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18247)Termination reason: Unknown
% 0.20/0.53 % (18247)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (18247)Memory used [KB]: 5373
% 0.20/0.53 % (18247)Time elapsed: 0.002 s
% 0.20/0.53 % (18247)Instructions burned: 2 (million)
% 0.20/0.53 % (18247)------------------------------
% 0.20/0.53 % (18247)------------------------------
% 0.20/0.53 % (18243)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (18243)------------------------------
% 0.20/0.53 % (18243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18243)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (18243)Memory used [KB]: 5884
% 0.20/0.53 % (18243)Time elapsed: 0.120 s
% 0.20/0.53 % (18243)Instructions burned: 32 (million)
% 0.20/0.53 % (18243)------------------------------
% 0.20/0.53 % (18243)------------------------------
% 0.20/0.53 % (18238)Success in time 0.187 s
%------------------------------------------------------------------------------