TSTP Solution File: ARI742_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI742_1 : TPTP v8.1.0. Released v7.0.0.
% 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 : 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 15:49:08 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 16 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 32 ( 5 atm; 5 fun; 17 num; 5 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
sqr: $real > $real ).
tff(func_def_2,type,
sqrt: $real > $real ).
tff(f110,plain,
$false,
inference(subsumption_resolution,[],[f109,f48]) ).
tff(f48,plain,
0.0 != sqrt(0.0),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
0.0 != sqrt(0.0),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
( ( ~ 0.0 )
= sqrt(0.0) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
0.0 = sqrt(0.0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sqrt_zero) ).
tff(f109,plain,
0.0 = sqrt(0.0),
inference(evaluation,[],[f107]) ).
tff(f107,plain,
0.0 = sqrt($product(0.0,0.0)),
inference(resolution,[],[f47,f19]) ).
tff(f19,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f47,plain,
! [X0: $real] :
( $less(X0,0.0)
| ( sqrt($product(X0,X0)) = X0 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: $real] :
( ( sqrt($product(X0,X0)) = X0 )
| $less(X0,0.0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: $real] :
( ~ $less(X0,0.0)
=> ( sqrt($product(X0,X0)) = X0 ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,axiom,
! [X0: $real] :
( $lesseq(0.0,X0)
=> ( sqrt($product(X0,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_sqrt) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI742=1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:34:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (6153)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 (2999ds/37Mi)
% 0.20/0.51 % (6160)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (6153)First to succeed.
% 0.20/0.51 % (6168)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (6168)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51 % (6168)Terminated due to inappropriate strategy.
% 0.20/0.51 % (6168)------------------------------
% 0.20/0.51 % (6168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (6168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (6168)Termination reason: Inappropriate
% 0.20/0.51
% 0.20/0.51 % (6168)Memory used [KB]: 895
% 0.20/0.51 % (6168)Time elapsed: 0.003 s
% 0.20/0.51 % (6168)Instructions burned: 2 (million)
% 0.20/0.51 % (6168)------------------------------
% 0.20/0.51 % (6168)------------------------------
% 0.20/0.51 % (6161)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (6153)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 % (6153)------------------------------
% 0.20/0.52 % (6153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (6153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (6153)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (6153)Memory used [KB]: 895
% 0.20/0.52 % (6153)Time elapsed: 0.115 s
% 0.20/0.52 % (6153)Instructions burned: 4 (million)
% 0.20/0.52 % (6153)------------------------------
% 0.20/0.52 % (6153)------------------------------
% 0.20/0.52 % (6150)Success in time 0.167 s
%------------------------------------------------------------------------------