TSTP Solution File: ARI201_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI201_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_sat --cores 0 -t %d %s
% Computer : n019.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 15:47:37 EDT 2022
% Result : Theorem 1.54s 0.59s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 64 ( 9 atm; 20 fun; 14 num; 21 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 19 !; 2 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(f164,plain,
$false,
inference(resolution,[],[f144,f15]) ).
tff(f15,plain,
! [X0: $rat] : ~ $less(X0,-13/4),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: $rat] : ~ $less(X0,-13/4),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less(X0,-13/4),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : $less(X0,-13/4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_12) ).
tff(f144,plain,
! [X18: $rat] : $less(-13/4,X18),
inference(superposition,[],[f57,f93]) ).
tff(f93,plain,
! [X2: $rat,X3: $rat] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f75,f20]) ).
tff(f20,plain,
! [X0: $rat] : ( $sum(0/1,X0) = X0 ),
inference(superposition,[],[f5,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f75,plain,
! [X2: $rat,X3: $rat] : ( $sum(0/1,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f57,plain,
! [X0: $rat] : $less(-13/4,$sum(1/1,X0)),
inference(superposition,[],[f34,f3]) ).
tff(f34,plain,
! [X0: $rat] : $less(-13/4,$sum(X0,1/1)),
inference(resolution,[],[f12,f15]) ).
tff(f12,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,$sum(X0,1/1)) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI201=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:28:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (5706)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.55 % (5706)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (5706)Terminated due to inappropriate strategy.
% 0.20/0.55 % (5706)------------------------------
% 0.20/0.55 % (5706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5706)Termination reason: Inappropriate
% 0.20/0.55
% 0.20/0.55 % (5706)Memory used [KB]: 895
% 0.20/0.55 % (5706)Time elapsed: 0.003 s
% 0.20/0.55 % (5706)Instructions burned: 2 (million)
% 0.20/0.55 % (5706)------------------------------
% 0.20/0.55 % (5706)------------------------------
% 0.20/0.56 % (5720)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 1.54/0.57 % (5712)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.54/0.57 % (5729)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.54/0.58 % (5729)First to succeed.
% 1.54/0.58 % (5721)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.54/0.58 % (5713)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.54/0.58 % (5705)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)
% 1.54/0.59 % (5704)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.54/0.59 % (5729)Refutation found. Thanks to Tanya!
% 1.54/0.59 % SZS status Theorem for theBenchmark
% 1.54/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.59 % (5729)------------------------------
% 1.54/0.59 % (5729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (5729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (5729)Termination reason: Refutation
% 1.54/0.59
% 1.54/0.59 % (5729)Memory used [KB]: 5500
% 1.54/0.59 % (5729)Time elapsed: 0.151 s
% 1.54/0.59 % (5729)Instructions burned: 7 (million)
% 1.54/0.59 % (5729)------------------------------
% 1.54/0.59 % (5729)------------------------------
% 1.54/0.59 % (5699)Success in time 0.237 s
%------------------------------------------------------------------------------