TSTP Solution File: ARI280_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI280_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 : n003.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 15:47:53 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 22 unt; 3 typ; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 107 ( 0 atm; 46 fun; 41 num; 20 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 : 11 ( 3 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 18 !; 2 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(func_def_9,type,
sF1: $rat ).
tff(func_def_10,type,
sF2: $rat ).
tff(f431,plain,
$false,
inference(subsumption_resolution,[],[f430,f18]) ).
tff(f18,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 15/8 = $sum(5/2,$uminus(sK0)) )
& ( 5/8 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat] :
( ( 15/8 = $sum(5/2,$uminus(X0)) )
& ( 5/8 != X0 ) )
=> ( ( 15/8 = $sum(5/2,$uminus(sK0)) )
& ( 5/8 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat] :
( ( 15/8 = $sum(5/2,$uminus(X0)) )
& ( 5/8 != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat] :
( ( 15/8 = $sum(5/2,$uminus(X0)) )
=> ( 5/8 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $difference(5/2,X0) = 15/8 )
=> ( 5/8 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $difference(5/2,X0) = 15/8 )
=> ( 5/8 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_8) ).
tff(f430,plain,
5/8 = sK0,
inference(evaluation,[],[f400]) ).
tff(f400,plain,
$uminus(-5/8) = sK0,
inference(backward_demodulation,[],[f24,f397]) ).
tff(f397,plain,
sF1 = -5/8,
inference(evaluation,[],[f390]) ).
tff(f390,plain,
sF1 = $sum(15/8,$uminus(5/2)),
inference(superposition,[],[f211,f205]) ).
tff(f205,plain,
! [X2: $rat,X3: $rat] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f179,f40]) ).
tff(f40,plain,
! [X0: $rat] : ( $sum(0/1,X0) = X0 ),
inference(superposition,[],[f6,f4]) ).
tff(f4,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f6,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f179,plain,
! [X2: $rat,X3: $rat] : ( $sum(0/1,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f211,plain,
! [X0: $rat] : ( $sum(5/2,$sum(X0,sF1)) = $sum(15/8,X0) ),
inference(superposition,[],[f182,f4]) ).
tff(f182,plain,
! [X10: $rat] : ( $sum(15/8,X10) = $sum(5/2,$sum(sF1,X10)) ),
inference(superposition,[],[f5,f23]) ).
tff(f23,plain,
15/8 = $sum(5/2,sF1),
inference(backward_demodulation,[],[f21,f22]) ).
tff(f22,plain,
15/8 = sF2,
inference(definition_folding,[],[f19,f21,f20]) ).
tff(f20,plain,
sF1 = $uminus(sK0),
introduced(function_definition,[]) ).
tff(f19,plain,
15/8 = $sum(5/2,$uminus(sK0)),
inference(cnf_transformation,[],[f17]) ).
tff(f21,plain,
sF2 = $sum(5/2,sF1),
introduced(function_definition,[]) ).
tff(f24,plain,
$uminus(sF1) = sK0,
inference(superposition,[],[f14,f20]) ).
tff(f14,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI280=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:32:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (17242)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)
% 0.19/0.48 % (17242)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.48 % (17242)Terminated due to inappropriate strategy.
% 0.19/0.48 % (17242)------------------------------
% 0.19/0.48 % (17242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (17242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (17242)Termination reason: Inappropriate
% 0.19/0.49
% 0.19/0.49 % (17242)Memory used [KB]: 895
% 0.19/0.49 % (17242)Time elapsed: 0.004 s
% 0.19/0.49 % (17242)Instructions burned: 1 (million)
% 0.19/0.49 % (17242)------------------------------
% 0.19/0.49 % (17242)------------------------------
% 0.19/0.50 % (17257)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)
% 0.19/0.50 % (17249)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.50 % (17246)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50 % (17244)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)
% 0.19/0.50 % (17243)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)
% 0.19/0.50 % (17245)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)
% 0.19/0.50 % (17264)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)
% 0.19/0.50 % (17252)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (17255)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.51 % (17260)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51 % (17249)Instruction limit reached!
% 0.19/0.51 % (17249)------------------------------
% 0.19/0.51 % (17249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17249)Termination reason: Unknown
% 0.19/0.51 % (17249)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (17249)Memory used [KB]: 5500
% 0.19/0.51 % (17249)Time elapsed: 0.114 s
% 0.19/0.51 % (17249)Instructions burned: 7 (million)
% 0.19/0.51 % (17249)------------------------------
% 0.19/0.51 % (17249)------------------------------
% 0.19/0.51 % (17256)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)
% 0.19/0.51 % (17271)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)
% 0.19/0.51 % (17254)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.51 % (17270)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.52 % (17247)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)
% 0.19/0.52 % (17267)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.52 % (17266)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.52 % (17269)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)
% 0.19/0.52 % (17248)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)
% 0.19/0.52 % (17248)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (17248)Terminated due to inappropriate strategy.
% 0.19/0.52 % (17248)------------------------------
% 0.19/0.52 % (17248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17257)First to succeed.
% 0.19/0.52 % (17268)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)
% 0.19/0.53 % (17263)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.53 % (17257)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (17257)------------------------------
% 0.19/0.53 % (17257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17257)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (17257)Memory used [KB]: 1279
% 0.19/0.53 % (17257)Time elapsed: 0.128 s
% 0.19/0.53 % (17257)Instructions burned: 23 (million)
% 0.19/0.53 % (17257)------------------------------
% 0.19/0.53 % (17257)------------------------------
% 0.19/0.53 % (17241)Success in time 0.184 s
%------------------------------------------------------------------------------