TSTP Solution File: ARI695_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n027.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 15:49:00 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 19 unt; 2 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 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 : 165 ( 0 atm; 94 fun; 60 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(f202,plain,
$false,
inference(subsumption_resolution,[],[f201,f44]) ).
tff(f44,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(f201,plain,
0 != $product(0,d),
inference(evaluation,[],[f200]) ).
tff(f200,plain,
0 != $product(-1,$product(d,0)),
inference(forward_demodulation,[],[f199,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f199,plain,
0 != $product(-1,$product(d,$sum(c,$uminus(c)))),
inference(evaluation,[],[f198]) ).
tff(f198,plain,
0 != $product(-1,$product(d,$sum($sum(2,c),$sum(-2,$uminus(c))))),
inference(forward_demodulation,[],[f197,f19]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($product(X0,X1),$product(X0,X2)) = $product(X0,$sum(X1,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f197,plain,
0 != $product(-1,$sum($product(d,$sum(2,c)),$product(d,$sum(-2,$uminus(c))))),
inference(superposition,[],[f137,f19]) ).
tff(f137,plain,
0 != $sum($product(-1,$product(d,$sum(2,c))),$product(-1,$product(d,$sum(-2,$uminus(c))))),
inference(superposition,[],[f25,f16]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,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
% 0.11/0.12 % Problem : ARI695=1 : TPTP v8.1.0. Released v6.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:10:45 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.48 % (28013)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 % (28021)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)
% 0.20/0.51 % (28021)First to succeed.
% 0.20/0.52 % (28021)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 % (28021)------------------------------
% 0.20/0.52 % (28021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28021)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28021)Memory used [KB]: 1023
% 0.20/0.52 % (28021)Time elapsed: 0.099 s
% 0.20/0.52 % (28021)Instructions burned: 11 (million)
% 0.20/0.52 % (28021)------------------------------
% 0.20/0.52 % (28021)------------------------------
% 0.20/0.52 % (28001)Success in time 0.169 s
%------------------------------------------------------------------------------