TSTP Solution File: ARI065_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI065_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 : n020.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 15:47:21 EDT 2022
% Result : Theorem 1.61s 0.58s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 17 unt; 2 typ; 0 def)
% Number of atoms : 29 ( 28 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 : 4 ( 1 avg)
% Number arithmetic : 88 ( 0 atm; 34 fun; 36 num; 18 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 : 18 ( 16 !; 2 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sF1: $int ).
tff(f223,plain,
$false,
inference(subsumption_resolution,[],[f222,f19]) ).
tff(f19,plain,
3 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 3 != sK0 )
& ( 5 = $sum(2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( ( 3 != X0 )
& ( $sum(2,X0) = 5 ) )
=> ( ( 3 != sK0 )
& ( 5 = $sum(2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( ( 3 != X0 )
& ( $sum(2,X0) = 5 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(2,X0) = 5 )
=> ( 3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(2,X0) = 5 )
=> ( 3 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum2_only_3_5) ).
tff(f222,plain,
3 = sK0,
inference(evaluation,[],[f217]) ).
tff(f217,plain,
$sum(5,$uminus(2)) = sK0,
inference(superposition,[],[f155,f161]) ).
tff(f161,plain,
! [X1: $int] : ( $sum(2,$sum(X1,sK0)) = $sum(5,X1) ),
inference(superposition,[],[f138,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f138,plain,
! [X10: $int] : ( $sum(2,$sum(sK0,X10)) = $sum(5,X10) ),
inference(superposition,[],[f4,f22]) ).
tff(f22,plain,
5 = $sum(2,sK0),
inference(backward_demodulation,[],[f20,f21]) ).
tff(f21,plain,
5 = sF1,
inference(definition_folding,[],[f18,f20]) ).
tff(f18,plain,
5 = $sum(2,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f20,plain,
$sum(2,sK0) = sF1,
introduced(function_definition,[]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f155,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f135,f29]) ).
tff(f29,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f3,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f135,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ARI065=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 29 15:22:00 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.23/0.50 % (8467)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.23/0.50 % (8475)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.23/0.51 % (8467)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.51 % (8467)Terminated due to inappropriate strategy.
% 0.23/0.51 % (8467)------------------------------
% 0.23/0.51 % (8467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.51 % (8467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.52 % (8467)Termination reason: Inappropriate
% 0.23/0.52
% 0.23/0.52 % (8467)Memory used [KB]: 895
% 0.23/0.52 % (8467)Time elapsed: 0.004 s
% 0.23/0.52 % (8467)Instructions burned: 1 (million)
% 0.23/0.52 % (8467)------------------------------
% 0.23/0.52 % (8467)------------------------------
% 0.23/0.54 % (8459)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)
% 0.23/0.55 % (8454)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.23/0.55 % (8450)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)
% 0.23/0.55 % (8450)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.55 % (8450)Terminated due to inappropriate strategy.
% 0.23/0.55 % (8450)------------------------------
% 0.23/0.55 % (8450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55 % (8450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55 % (8450)Termination reason: Inappropriate
% 0.23/0.55
% 0.23/0.55 % (8450)Memory used [KB]: 895
% 0.23/0.55 % (8450)Time elapsed: 0.001 s
% 0.23/0.55 % (8450)------------------------------
% 0.23/0.55 % (8450)------------------------------
% 0.23/0.55 % (8451)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)
% 0.23/0.55 % (8456)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)
% 0.23/0.55 % (8456)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.55 % (8456)Terminated due to inappropriate strategy.
% 0.23/0.55 % (8456)------------------------------
% 0.23/0.55 % (8456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55 % (8456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55 % (8456)Termination reason: Inappropriate
% 0.23/0.55
% 0.23/0.55 % (8456)Memory used [KB]: 895
% 0.23/0.55 % (8456)Time elapsed: 0.001 s
% 0.23/0.55 % (8456)------------------------------
% 0.23/0.55 % (8456)------------------------------
% 0.23/0.55 % (8462)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.23/0.55 % (8463)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.38/0.55 % (8453)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)
% 1.38/0.55 % (8465)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 1.38/0.55 % (8461)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)
% 1.38/0.56 % (8455)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)
% 1.38/0.56 % (8473)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 1.38/0.56 % (8478)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.38/0.56 % (8458)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.38/0.56 % (8472)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)
% 1.38/0.56 % (8457)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.38/0.56 % (8458)Instruction limit reached!
% 1.38/0.56 % (8458)------------------------------
% 1.38/0.56 % (8458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (8458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (8458)Termination reason: Unknown
% 1.38/0.56 % (8458)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (8458)Memory used [KB]: 5373
% 1.38/0.56 % (8458)Time elapsed: 0.139 s
% 1.38/0.56 % (8458)Instructions burned: 3 (million)
% 1.38/0.56 % (8458)------------------------------
% 1.38/0.56 % (8458)------------------------------
% 1.38/0.56 % (8466)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.38/0.56 % (8464)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)
% 1.38/0.56 % (8477)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 1.38/0.56 % (8474)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.38/0.57 % (8479)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)
% 1.38/0.57 % (8468)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.38/0.57 % (8469)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)
% 1.38/0.57 % (8470)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)
% 1.61/0.57 % (8452)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)
% 1.61/0.57 % (8471)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.61/0.58 % (8476)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)
% 1.61/0.58 % (8465)First to succeed.
% 1.61/0.58 % (8457)Instruction limit reached!
% 1.61/0.58 % (8457)------------------------------
% 1.61/0.58 % (8457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.58 % (8465)Refutation found. Thanks to Tanya!
% 1.61/0.58 % SZS status Theorem for theBenchmark
% 1.61/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.58 % (8465)------------------------------
% 1.61/0.58 % (8465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.58 % (8465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.58 % (8465)Termination reason: Refutation
% 1.61/0.58
% 1.61/0.58 % (8465)Memory used [KB]: 1023
% 1.61/0.58 % (8465)Time elapsed: 0.160 s
% 1.61/0.58 % (8465)Instructions burned: 10 (million)
% 1.61/0.58 % (8465)------------------------------
% 1.61/0.58 % (8465)------------------------------
% 1.61/0.58 % (8449)Success in time 0.205 s
%------------------------------------------------------------------------------