TSTP Solution File: ARI742_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n021.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 15:47:03 EDT 2022
% Result : Theorem 1.72s 0.59s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 2 typ; 0 def)
% Number of atoms : 20 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 2 |; 0 &)
% ( 1 <=>; 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 : 34 ( 5 atm; 5 fun; 19 num; 5 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 2 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(f59,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f58]) ).
tff(f58,plain,
spl0_1,
inference(avatar_split_clause,[],[f56,f50]) ).
tff(f50,plain,
( spl0_1
<=> ( 0.0 = sqrt(0.0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f56,plain,
0.0 = sqrt(0.0),
inference(evaluation,[],[f54]) ).
tff(f54,plain,
0.0 = sqrt($product(0.0,0.0)),
inference(resolution,[],[f40,f19]) ).
tff(f19,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f40,plain,
! [X0: $real] :
( $less(X0,0.0)
| ( sqrt($product(X0,X0)) = X0 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: $real] :
( $less(X0,0.0)
| ( sqrt($product(X0,X0)) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,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/sandbox2/benchmark/theBenchmark.p',square_sqrt) ).
tff(f52,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f46,f50]) ).
tff(f46,plain,
0.0 != sqrt(0.0),
inference(cnf_transformation,[],[f32]) ).
tff(f32,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/sandbox2/benchmark/theBenchmark.p',sqrt_zero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI742=1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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 16:31:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (26512)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.56 % (26503)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 (2999ds/50Mi)
% 1.57/0.56 % (26518)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 (2999ds/41Mi)
% 1.57/0.57 % (26496)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 (2999ds/36Mi)
% 1.57/0.57 % (26496)Refutation not found, incomplete strategy% (26496)------------------------------
% 1.57/0.57 % (26496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (26496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (26496)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.57
% 1.57/0.57 % (26496)Memory used [KB]: 5500
% 1.57/0.57 % (26496)Time elapsed: 0.130 s
% 1.57/0.57 % (26496)Instructions burned: 2 (million)
% 1.57/0.57 % (26496)------------------------------
% 1.57/0.57 % (26496)------------------------------
% 1.57/0.57 % (26511)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 (2999ds/46Mi)
% 1.57/0.57 % (26503)Refutation not found, incomplete strategy% (26503)------------------------------
% 1.57/0.57 % (26503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (26503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (26503)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.57
% 1.57/0.57 % (26503)Memory used [KB]: 5500
% 1.57/0.57 % (26503)Time elapsed: 0.138 s
% 1.57/0.57 % (26503)Instructions burned: 3 (million)
% 1.57/0.57 % (26503)------------------------------
% 1.57/0.57 % (26503)------------------------------
% 1.57/0.57 % (26512)Refutation not found, incomplete strategy% (26512)------------------------------
% 1.57/0.57 % (26512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (26512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (26512)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.57
% 1.57/0.57 % (26512)Memory used [KB]: 5500
% 1.57/0.57 % (26512)Time elapsed: 0.136 s
% 1.57/0.57 % (26512)Instructions burned: 3 (million)
% 1.57/0.57 % (26512)------------------------------
% 1.57/0.57 % (26512)------------------------------
% 1.57/0.57 % (26497)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.57/0.57 % (26504)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 (2999ds/2Mi)
% 1.57/0.57 % (26504)Instruction limit reached!
% 1.57/0.57 % (26504)------------------------------
% 1.57/0.57 % (26504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (26504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (26504)Termination reason: Unknown
% 1.57/0.57 % (26504)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (26504)Memory used [KB]: 5500
% 1.57/0.57 % (26504)Time elapsed: 0.002 s
% 1.57/0.57 % (26504)Instructions burned: 3 (million)
% 1.57/0.57 % (26504)------------------------------
% 1.57/0.57 % (26504)------------------------------
% 1.72/0.58 % (26495)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 (2999ds/32Mi)
% 1.72/0.58 % (26489)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 (2999ds/59848Mi)
% 1.72/0.58 % (26511)Refutation not found, incomplete strategy% (26511)------------------------------
% 1.72/0.58 % (26511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (26511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (26511)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.58
% 1.72/0.58 % (26511)Memory used [KB]: 1023
% 1.72/0.58 % (26511)Time elapsed: 0.166 s
% 1.72/0.58 % (26511)Instructions burned: 2 (million)
% 1.72/0.58 % (26511)------------------------------
% 1.72/0.58 % (26511)------------------------------
% 1.72/0.58 % (26508)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 (2999ds/2Mi)
% 1.72/0.58 % (26507)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.72/0.59 % (26518)First to succeed.
% 1.72/0.59 % (26518)Refutation found. Thanks to Tanya!
% 1.72/0.59 % SZS status Theorem for theBenchmark
% 1.72/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.59 % (26518)------------------------------
% 1.72/0.59 % (26518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (26518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (26518)Termination reason: Refutation
% 1.72/0.59
% 1.72/0.59 % (26518)Memory used [KB]: 5500
% 1.72/0.59 % (26518)Time elapsed: 0.174 s
% 1.72/0.59 % (26518)Instructions burned: 3 (million)
% 1.72/0.59 % (26518)------------------------------
% 1.72/0.59 % (26518)------------------------------
% 1.72/0.59 % (26488)Success in time 0.234 s
%------------------------------------------------------------------------------