TSTP Solution File: ARI258_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI258_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 : n010.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 15:47:50 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 13 unt; 2 typ; 0 def)
% Number of atoms : 25 ( 24 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 : 68 ( 0 atm; 23 fun; 35 num; 10 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 : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(func_def_8,type,
sF1: $rat ).
tff(f385,plain,
$false,
inference(subsumption_resolution,[],[f375,f17]) ).
tff(f17,plain,
17/4 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 10/1 = $sum(sK0,23/4) )
& ( 17/4 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
& ( 17/4 != X0 ) )
=> ( ( 10/1 = $sum(sK0,23/4) )
& ( 17/4 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
& ( 17/4 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
=> ( 17/4 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
=> ( 17/4 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_13) ).
tff(f375,plain,
17/4 = sK0,
inference(superposition,[],[f322,f5]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f322,plain,
17/4 = $sum(sK0,0/1),
inference(evaluation,[],[f318]) ).
tff(f318,plain,
$sum(10/1,$uminus(23/4)) = $sum(sK0,0/1),
inference(superposition,[],[f115,f7]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f115,plain,
! [X22: $rat] : ( $sum(10/1,X22) = $sum(sK0,$sum(23/4,X22)) ),
inference(superposition,[],[f4,f21]) ).
tff(f21,plain,
10/1 = $sum(sK0,23/4),
inference(backward_demodulation,[],[f19,f20]) ).
tff(f20,plain,
10/1 = sF1,
inference(definition_folding,[],[f18,f19]) ).
tff(f18,plain,
10/1 = $sum(sK0,23/4),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
$sum(sK0,23/4) = sF1,
introduced(function_definition,[]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ARI258=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:23:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (8375)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)
% 0.18/0.49 % (8382)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.49 % (8381)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)
% 0.18/0.50 % (8395)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.18/0.50 % (8383)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.50 % (8379)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 (3000ds/51Mi)
% 0.18/0.51 % (8394)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.18/0.51 % (8370)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.18/0.51 % (8370)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.51 % (8370)Terminated due to inappropriate strategy.
% 0.18/0.51 % (8370)------------------------------
% 0.18/0.51 % (8370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (8370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (8370)Termination reason: Inappropriate
% 0.18/0.51
% 0.18/0.51 % (8370)Memory used [KB]: 895
% 0.18/0.51 % (8370)Time elapsed: 0.002 s
% 0.18/0.51 % (8370)Instructions burned: 1 (million)
% 0.18/0.51 % (8370)------------------------------
% 0.18/0.51 % (8370)------------------------------
% 0.18/0.51 % (8374)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.51 % (8378)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.51 % (8373)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.52 % (8380)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.52 % (8384)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.18/0.52 % (8372)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 (3000ds/37Mi)
% 0.18/0.52 % (8371)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.52 % (8378)Instruction limit reached!
% 0.18/0.52 % (8378)------------------------------
% 0.18/0.52 % (8378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (8378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (8378)Termination reason: Unknown
% 0.18/0.52 % (8378)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (8378)Memory used [KB]: 5373
% 0.18/0.52 % (8378)Time elapsed: 0.126 s
% 0.18/0.52 % (8378)Instructions burned: 3 (million)
% 0.18/0.52 % (8378)------------------------------
% 0.18/0.52 % (8378)------------------------------
% 0.18/0.52 % (8377)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.52 % (8392)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.18/0.52 % (8387)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.18/0.52 % (8377)Instruction limit reached!
% 0.18/0.52 % (8377)------------------------------
% 0.18/0.52 % (8377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (8377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (8377)Termination reason: Unknown
% 0.18/0.52 % (8377)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (8377)Memory used [KB]: 5500
% 0.18/0.52 % (8377)Time elapsed: 0.133 s
% 0.18/0.52 % (8377)Instructions burned: 8 (million)
% 0.18/0.52 % (8377)------------------------------
% 0.18/0.52 % (8377)------------------------------
% 0.18/0.52 % (8387)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.52 % (8387)Terminated due to inappropriate strategy.
% 0.18/0.52 % (8387)------------------------------
% 0.18/0.52 % (8387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (8387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (8387)Termination reason: Inappropriate
% 0.18/0.52
% 0.18/0.52 % (8387)Memory used [KB]: 895
% 0.18/0.52 % (8387)Time elapsed: 0.003 s
% 0.18/0.52 % (8387)Instructions burned: 1 (million)
% 0.18/0.52 % (8387)------------------------------
% 0.18/0.52 % (8387)------------------------------
% 0.18/0.52 % (8399)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)
% 0.18/0.52 % (8388)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.53 % (8389)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)
% 0.18/0.53 % (8394)First to succeed.
% 0.18/0.53 % (8390)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)
% 0.18/0.53 % (8394)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (8394)------------------------------
% 0.18/0.53 % (8394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (8394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (8394)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (8394)Memory used [KB]: 5628
% 0.18/0.53 % (8394)Time elapsed: 0.134 s
% 0.18/0.53 % (8394)Instructions burned: 19 (million)
% 0.18/0.53 % (8394)------------------------------
% 0.18/0.53 % (8394)------------------------------
% 0.18/0.53 % (8369)Success in time 0.188 s
%------------------------------------------------------------------------------