TSTP Solution File: ARI701_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI701_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 : n013.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 15:49:01 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 31 ( 24 unt; 7 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 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 45 ( 0 atm; 31 fun; 8 num; 6 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 : 9 ( 7 usr; 8 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $int ).
tff(func_def_1,type,
y: $int ).
tff(func_def_2,type,
a: $int ).
tff(func_def_3,type,
z: $int ).
tff(func_def_4,type,
b: $int ).
tff(func_def_10,type,
sF0: $int ).
tff(func_def_11,type,
sF1: $int ).
tff(f258,plain,
$false,
inference(subsumption_resolution,[],[f257,f32]) ).
tff(f32,plain,
1 != sF1,
inference(definition_folding,[],[f28,f31,f30]) ).
tff(f30,plain,
$product(z,y) = sF0,
introduced(function_definition,[]) ).
tff(f31,plain,
sF1 = $product(sF0,x),
introduced(function_definition,[]) ).
tff(f28,plain,
1 != $product($product(z,y),x),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
1 != $product($product(z,y),x),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
( ( ~ 1 )
= $product($product(z,y),x) ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
1 = $product($product(z,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f257,plain,
1 = sF1,
inference(forward_demodulation,[],[f256,f26]) ).
tff(f26,plain,
$product(a,z) = 1,
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
$product(a,z) = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq3) ).
tff(f256,plain,
$product(a,z) = sF1,
inference(forward_demodulation,[],[f248,f50]) ).
tff(f50,plain,
sF1 = $product(x,b),
inference(backward_demodulation,[],[f44,f49]) ).
tff(f49,plain,
b = sF0,
inference(forward_demodulation,[],[f47,f27]) ).
tff(f27,plain,
$product(y,z) = b,
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
$product(y,z) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).
tff(f47,plain,
$product(y,z) = sF0,
inference(superposition,[],[f30,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $product(X1,X0) = $product(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f44,plain,
$product(x,sF0) = sF1,
inference(superposition,[],[f31,f17]) ).
tff(f248,plain,
$product(a,z) = $product(x,b),
inference(superposition,[],[f124,f27]) ).
tff(f124,plain,
! [X10: $int] : ( $product(x,$product(y,X10)) = $product(a,X10) ),
inference(superposition,[],[f18,f25]) ).
tff(f25,plain,
$product(x,y) = a,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(x,y) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
tff(f18,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),X2) = $product(X0,$product(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI701=1 : TPTP v8.1.0. Released v6.3.0.
% 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
% 0.14/0.35 % Computer : n013.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 15:53:17 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 % (28657)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)
% 0.20/0.50 % (28677)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)
% 0.20/0.50 % (28669)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)
% 0.20/0.50 % (28658)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51 % (28661)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.51 % (28671)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.51 % (28671)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51 % (28671)Terminated due to inappropriate strategy.
% 0.20/0.51 % (28671)------------------------------
% 0.20/0.51 % (28671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28671)Termination reason: Inappropriate
% 0.20/0.51
% 0.20/0.51 % (28671)Memory used [KB]: 895
% 0.20/0.51 % (28671)Time elapsed: 0.003 s
% 0.20/0.51 % (28671)Instructions burned: 1 (million)
% 0.20/0.51 % (28671)------------------------------
% 0.20/0.51 % (28671)------------------------------
% 0.20/0.51 % (28665)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)
% 0.20/0.51 % (28659)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)
% 0.20/0.51 % (28658)First to succeed.
% 0.20/0.52 % (28658)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (28658)------------------------------
% 0.20/0.52 % (28658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28658)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28658)Memory used [KB]: 5500
% 0.20/0.52 % (28658)Time elapsed: 0.116 s
% 0.20/0.52 % (28658)Instructions burned: 11 (million)
% 0.20/0.52 % (28658)------------------------------
% 0.20/0.52 % (28658)------------------------------
% 0.20/0.52 % (28651)Success in time 0.161 s
%------------------------------------------------------------------------------