TSTP Solution File: ARI705_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI705_1 : TPTP v8.1.0. Released v6.3.0.
% 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 : n025.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 15:49:02 EDT 2022
% Result : Theorem 1.90s 0.59s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 31 ( 27 unt; 4 typ; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 124 ( 0 atm; 74 fun; 29 num; 21 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 : 9 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
c: $int ).
tff(func_def_3,type,
b: $int ).
tff(f347,plain,
$false,
inference(subsumption_resolution,[],[f341,f51]) ).
tff(f51,plain,
! [X1: $int] : ( 0 = $product(0,X1) ),
inference(superposition,[],[f18,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X1,X0) = $product(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_154,[]) ).
tff(f341,plain,
0 != $product(0,$product(d,$product(c,b))),
inference(evaluation,[],[f332]) ).
tff(f332,plain,
0 != $product(2,$product(d,$product(c,$product(0,b)))),
inference(backward_demodulation,[],[f162,f322]) ).
tff(f322,plain,
a = 0,
inference(forward_demodulation,[],[f303,f28]) ).
tff(f28,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f303,plain,
a = $sum($uminus($product(d,d)),$product(d,d)),
inference(superposition,[],[f262,f23]) ).
tff(f23,plain,
$product(d,d) = $sum($product(d,d),a),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(d,d) = $sum($product(d,d),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
tff(f262,plain,
! [X18: $int,X19: $int] : ( $sum($uminus(X18),$sum(X18,X19)) = X19 ),
inference(forward_demodulation,[],[f239,f32]) ).
tff(f32,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f4,f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f239,plain,
! [X18: $int,X19: $int] : ( $sum(0,X19) = $sum($uminus(X18),$sum(X18,X19)) ),
inference(superposition,[],[f5,f28]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f162,plain,
0 != $product(2,$product(d,$product(c,$product(a,b)))),
inference(superposition,[],[f27,f15]) ).
tff(f27,plain,
0 != $product($product(d,$product(c,$product(a,b))),2),
inference(forward_demodulation,[],[f26,f16]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),X2) = $product(X0,$product(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f26,plain,
0 != $product($product($product(d,c),$product(a,b)),2),
inference(forward_demodulation,[],[f24,f16]) ).
tff(f24,plain,
$product($product($product($product(d,c),a),b),2) != 0,
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
$product($product($product($product(d,c),a),b),2) != 0,
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ( ~ $product($product($product($product(d,c),a),b),2) )
= 0 ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
$product($product($product($product(d,c),a),b),2) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI705=1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 16:06:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.51 % (2321)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (2320)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (2322)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (2329)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 (2999ds/75Mi)
% 0.19/0.54 % (2322)Instruction limit reached!
% 0.19/0.54 % (2322)------------------------------
% 0.19/0.54 % (2322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2322)Termination reason: Unknown
% 0.19/0.54 % (2322)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (2322)Memory used [KB]: 895
% 0.19/0.54 % (2322)Time elapsed: 0.003 s
% 0.19/0.54 % (2322)Instructions burned: 2 (million)
% 0.19/0.54 % (2322)------------------------------
% 0.19/0.54 % (2322)------------------------------
% 0.19/0.54 % (2321)Instruction limit reached!
% 0.19/0.54 % (2321)------------------------------
% 0.19/0.54 % (2321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2321)Termination reason: Unknown
% 0.19/0.54 % (2321)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (2321)Memory used [KB]: 5500
% 0.19/0.54 % (2321)Time elapsed: 0.124 s
% 0.19/0.54 % (2321)Instructions burned: 7 (million)
% 0.19/0.54 % (2321)------------------------------
% 0.19/0.54 % (2321)------------------------------
% 0.19/0.54 % (2320)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.54 % (2320)Terminated due to inappropriate strategy.
% 0.19/0.54 % (2320)------------------------------
% 0.19/0.54 % (2320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2320)Termination reason: Inappropriate
% 0.19/0.54
% 0.19/0.54 % (2320)Memory used [KB]: 895
% 0.19/0.54 % (2320)Time elapsed: 0.004 s
% 0.19/0.54 % (2320)Instructions burned: 1 (million)
% 0.19/0.54 % (2320)------------------------------
% 0.19/0.54 % (2320)------------------------------
% 0.19/0.54 % (2337)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 (2999ds/467Mi)
% 0.19/0.54 % (2338)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (2336)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 (2999ds/498Mi)
% 0.19/0.54 % (2330)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 (2999ds/99Mi)
% 0.19/0.55 % (2335)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (2323)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 (2999ds/51Mi)
% 0.19/0.55 % (2328)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 (2999ds/68Mi)
% 0.19/0.55 % (2331)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (2318)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (2331)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.55 % (2331)Terminated due to inappropriate strategy.
% 0.19/0.55 % (2331)------------------------------
% 0.19/0.55 % (2331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (2331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (2331)Termination reason: Inappropriate
% 0.19/0.55
% 0.19/0.55 % (2331)Memory used [KB]: 895
% 0.19/0.55 % (2331)Time elapsed: 0.005 s
% 0.19/0.55 % (2331)Instructions burned: 2 (million)
% 0.19/0.55 % (2331)------------------------------
% 0.19/0.55 % (2331)------------------------------
% 0.19/0.56 % (2319)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 (2999ds/48Mi)
% 0.19/0.56 % (2315)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (2327)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (2325)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (2326)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56 % (2332)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (2342)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (2314)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 (2999ds/191324Mi)
% 0.19/0.56 % (2317)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (2341)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 (2999ds/177Mi)
% 0.19/0.56 % (2339)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 % (2316)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 (2999ds/37Mi)
% 0.19/0.57 % (2343)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 (2999ds/355Mi)
% 0.19/0.57 % (2314)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.57 % (2314)Terminated due to inappropriate strategy.
% 0.19/0.57 % (2314)------------------------------
% 0.19/0.57 % (2314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (2314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (2314)Termination reason: Inappropriate
% 0.19/0.57
% 0.19/0.57 % (2314)Memory used [KB]: 895
% 0.19/0.57 % (2314)Time elapsed: 0.002 s
% 0.19/0.57 % (2314)Instructions burned: 1 (million)
% 0.19/0.57 % (2314)------------------------------
% 0.19/0.57 % (2314)------------------------------
% 0.19/0.57 % (2340)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 (2999ds/68Mi)
% 0.19/0.57 % (2333)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 (2999ds/100Mi)
% 0.19/0.58 % (2324)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.90/0.59 % (2315)First to succeed.
% 1.90/0.59 % (2334)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 (2999ds/176Mi)
% 1.90/0.59 % (2315)Refutation found. Thanks to Tanya!
% 1.90/0.59 % SZS status Theorem for theBenchmark
% 1.90/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.59 % (2315)------------------------------
% 1.90/0.59 % (2315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.59 % (2315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.59 % (2315)Termination reason: Refutation
% 1.90/0.59
% 1.90/0.59 % (2315)Memory used [KB]: 5628
% 1.90/0.59 % (2315)Time elapsed: 0.119 s
% 1.90/0.59 % (2315)Instructions burned: 16 (million)
% 1.90/0.59 % (2315)------------------------------
% 1.90/0.59 % (2315)------------------------------
% 1.90/0.59 % (2313)Success in time 0.247 s
%------------------------------------------------------------------------------