TSTP Solution File: ARI259_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI259_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n029.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 15:45:46 EDT 2022
% Result : Theorem 1.55s 0.63s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 16 unt; 1 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 89 ( 0 atm; 39 fun; 37 num; 13 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 ( 1 usr; 8 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(f213,plain,
$false,
inference(subsumption_resolution,[],[f212,f17]) ).
tff(f17,plain,
23/4 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 10/1 = $sum(17/4,sK0) )
& ( 23/4 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
& ( 23/4 != X0 ) )
=> ( ( 10/1 = $sum(17/4,sK0) )
& ( 23/4 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
& ( 23/4 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
=> ( 23/4 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
=> ( 23/4 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_14) ).
tff(f212,plain,
23/4 = sK0,
inference(evaluation,[],[f211]) ).
tff(f211,plain,
$uminus(-23/4) = sK0,
inference(superposition,[],[f13,f195]) ).
tff(f195,plain,
$uminus(sK0) = -23/4,
inference(superposition,[],[f5,f170]) ).
tff(f170,plain,
$sum($uminus(sK0),0/1) = -23/4,
inference(evaluation,[],[f159]) ).
tff(f159,plain,
$sum($uminus(sK0),0/1) = $sum(-10/1,$uminus(-17/4)),
inference(superposition,[],[f29,f7]) ).
tff(f7,plain,
! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
introduced(theory_axiom_145,[]) ).
tff(f29,plain,
! [X2: $rat] : ( $sum($uminus(sK0),$sum(-17/4,X2)) = $sum(-10/1,X2) ),
inference(superposition,[],[f4,f23]) ).
tff(f23,plain,
-10/1 = $sum($uminus(sK0),-17/4),
inference(evaluation,[],[f19]) ).
tff(f19,plain,
$uminus(10/1) = $sum($uminus(sK0),$uminus(17/4)),
inference(superposition,[],[f6,f18]) ).
tff(f18,plain,
10/1 = $sum(17/4,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f6,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_144,[]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f13,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI259=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.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 15:40:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.55/0.58 % (18272)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)
% 1.55/0.59 % (18288)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)
% 1.55/0.60 % (18280)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)
% 1.55/0.61 % (18289)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)
% 1.55/0.61 % (18281)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)
% 1.55/0.61 % (18273)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)
% 1.55/0.61 % (18281)Instruction limit reached!
% 1.55/0.61 % (18281)------------------------------
% 1.55/0.61 % (18281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.61 % (18281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.61 % (18281)Termination reason: Unknown
% 1.55/0.61 % (18281)Termination phase: Saturation
% 1.55/0.61
% 1.55/0.61 % (18281)Memory used [KB]: 5373
% 1.55/0.61 % (18281)Time elapsed: 0.110 s
% 1.55/0.61 % (18281)Instructions burned: 2 (million)
% 1.55/0.61 % (18281)------------------------------
% 1.55/0.61 % (18281)------------------------------
% 1.55/0.62 % (18269)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.55/0.62 % (18269)Instruction limit reached!
% 1.55/0.62 % (18269)------------------------------
% 1.55/0.62 % (18269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (18269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (18269)Termination reason: Unknown
% 1.55/0.62 % (18269)Termination phase: Including theory axioms
% 1.55/0.62
% 1.55/0.62 % (18269)Memory used [KB]: 895
% 1.55/0.62 % (18269)Time elapsed: 0.002 s
% 1.55/0.62 % (18269)Instructions burned: 2 (million)
% 1.55/0.62 % (18269)------------------------------
% 1.55/0.62 % (18269)------------------------------
% 1.55/0.62 % (18267)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.55/0.62 % (18266)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)
% 1.55/0.63 % (18273)First to succeed.
% 1.55/0.63 % (18271)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.55/0.63 % (18268)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.55/0.63 % (18270)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.55/0.63 % (18273)Refutation found. Thanks to Tanya!
% 1.55/0.63 % SZS status Theorem for theBenchmark
% 1.55/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.63 % (18273)------------------------------
% 1.55/0.63 % (18273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.63 % (18273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.63 % (18273)Termination reason: Refutation
% 1.55/0.63
% 1.55/0.63 % (18273)Memory used [KB]: 5628
% 1.55/0.63 % (18273)Time elapsed: 0.129 s
% 1.55/0.63 % (18273)Instructions burned: 8 (million)
% 1.55/0.63 % (18273)------------------------------
% 1.55/0.63 % (18273)------------------------------
% 1.55/0.63 % (18265)Success in time 0.27 s
%------------------------------------------------------------------------------