TSTP Solution File: GRP116-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n024.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 16:14:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(unit_resulting_resolution,[],[f2,f216]) ).
fof(f216,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f215,f113]) ).
fof(f113,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(backward_demodulation,[],[f64,f111]) ).
fof(f111,plain,
! [X2] : multiply(X2,identity) = X2,
inference(superposition,[],[f64,f108]) ).
fof(f108,plain,
! [X2] : identity = multiply(X2,multiply(X2,multiply(X2,identity))),
inference(superposition,[],[f64,f97]) ).
fof(f97,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[],[f92,f65]) ).
fof(f65,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(multiply(X0,X1),multiply(X0,multiply(X1,identity)))),
inference(superposition,[],[f64,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f92,plain,
! [X2,X3] : multiply(identity,identity) = multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X2,multiply(X3,identity)))),
inference(superposition,[],[f64,f31]) ).
fof(f31,plain,
! [X3,X4,X5] : multiply(X3,multiply(X4,X5)) = multiply(multiply(X3,X4),multiply(multiply(identity,identity),X5)),
inference(backward_demodulation,[],[f30,f23]) ).
fof(f23,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,X2),multiply(X2,X2)))))),
inference(backward_demodulation,[],[f5,f12]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2)))))),
inference(superposition,[],[f1,f1]) ).
fof(f30,plain,
! [X3,X4,X5] : multiply(multiply(X3,X4),multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X5,X5),multiply(X5,X5))))))) = multiply(X3,multiply(X4,X5)),
inference(forward_demodulation,[],[f29,f12]) ).
fof(f29,plain,
! [X3,X4,X5] : multiply(X3,multiply(X4,X5)) = multiply(multiply(X3,X4),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X5,X5)),multiply(identity,multiply(X5,X5))))))),
inference(forward_demodulation,[],[f28,f12]) ).
fof(f28,plain,
! [X3,X4,X5] : multiply(X3,multiply(X4,X5)) = multiply(multiply(X3,X4),multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X5,X5))),multiply(identity,multiply(identity,multiply(X5,X5))))))),
inference(forward_demodulation,[],[f17,f12]) ).
fof(f17,plain,
! [X3,X4,X5] : multiply(multiply(X3,X4),multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X5,X5)))),multiply(identity,multiply(identity,multiply(identity,multiply(X5,X5))))))) = multiply(X3,multiply(X4,X5)),
inference(backward_demodulation,[],[f13,f12]) ).
fof(f13,plain,
! [X3,X4,X5] : multiply(X3,multiply(X4,X5)) = multiply(multiply(X3,X4),multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X5),multiply(identity,X5)))),multiply(identity,multiply(identity,multiply(multiply(identity,X5),multiply(identity,X5))))))),
inference(superposition,[],[f6,f6]) ).
fof(f64,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[],[f57,f12]) ).
fof(f57,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[],[f20,f12]) ).
fof(f20,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(backward_demodulation,[],[f1,f12]) ).
fof(f215,plain,
! [X0] : multiply(identity,multiply(identity,multiply(identity,X0))) = multiply(identity,X0),
inference(forward_demodulation,[],[f214,f116]) ).
fof(f116,plain,
! [X3,X4,X5] : multiply(X3,multiply(X3,multiply(multiply(X4,X5),multiply(X5,X5)))) = multiply(X3,multiply(X3,X4)),
inference(backward_demodulation,[],[f67,f111]) ).
fof(f67,plain,
! [X3,X4,X5] : multiply(X3,multiply(X3,multiply(X4,identity))) = multiply(X3,multiply(X3,multiply(multiply(X4,X5),multiply(X5,X5)))),
inference(superposition,[],[f20,f64]) ).
fof(f214,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(X0,X0))))),
inference(forward_demodulation,[],[f197,f12]) ).
fof(f197,plain,
! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(X0,X0))))) = multiply(identity,X0),
inference(superposition,[],[f189,f12]) ).
fof(f189,plain,
! [X2] : multiply(identity,multiply(identity,multiply(multiply(X2,X2),multiply(X2,X2)))) = X2,
inference(forward_demodulation,[],[f177,f111]) ).
fof(f177,plain,
! [X2] : multiply(identity,multiply(identity,multiply(multiply(X2,X2),multiply(X2,X2)))) = multiply(X2,identity),
inference(superposition,[],[f132,f114]) ).
fof(f114,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(multiply(X0,X1),multiply(X0,X1))),
inference(backward_demodulation,[],[f65,f111]) ).
fof(f132,plain,
! [X2,X3] : multiply(identity,multiply(identity,X3)) = multiply(X2,multiply(multiply(X2,X2),X3)),
inference(superposition,[],[f12,f124]) ).
fof(f124,plain,
! [X2] : identity = multiply(X2,multiply(X2,X2)),
inference(backward_demodulation,[],[f108,f111]) ).
fof(f2,axiom,
a != multiply(identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.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 22:16:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (2427)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.20/0.51 % (2419)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.20/0.51 % (2411)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52 % (2417)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/292Mi)
% 0.20/0.52 % (2411)Instruction limit reached!
% 0.20/0.52 % (2411)------------------------------
% 0.20/0.52 % (2411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2411)Termination reason: Unknown
% 0.20/0.52 % (2411)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (2411)Memory used [KB]: 5628
% 0.20/0.52 % (2411)Time elapsed: 0.067 s
% 0.20/0.52 % (2411)Instructions burned: 7 (million)
% 0.20/0.52 % (2411)------------------------------
% 0.20/0.52 % (2411)------------------------------
% 0.20/0.53 % (2423)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.53 % (2430)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.53 % (2407)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.53 % (2408)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/6Mi)
% 0.20/0.53 % (2406)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/10Mi)
% 0.20/0.53 % (2433)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/381Mi)
% 0.20/0.53 % (2434)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.53 % (2419)First to succeed.
% 0.20/0.54 % (2413)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.54 % (2409)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.54 % (2405)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.20/0.54 % (2412)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.20/0.54 % (2414)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.20/0.54 % (2419)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (2419)------------------------------
% 0.20/0.54 % (2419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2419)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (2419)Memory used [KB]: 5756
% 0.20/0.54 % (2419)Time elapsed: 0.082 s
% 0.20/0.54 % (2419)Instructions burned: 23 (million)
% 0.20/0.54 % (2419)------------------------------
% 0.20/0.54 % (2419)------------------------------
% 0.20/0.54 % (2404)Success in time 0.182 s
%------------------------------------------------------------------------------