TSTP Solution File: GRP115-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP115-1 : 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 : n029.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 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,plain,
$false,
inference(subsumption_resolution,[],[f126,f121]) ).
fof(f121,plain,
! [X0,X1] : multiply(X1,multiply(X1,X1)) = multiply(X0,multiply(X0,X0)),
inference(superposition,[],[f85,f85]) ).
fof(f85,plain,
! [X5] : identity = multiply(X5,multiply(X5,X5)),
inference(backward_demodulation,[],[f76,f79]) ).
fof(f79,plain,
! [X2,X1] : multiply(multiply(X1,X2),multiply(X2,X2)) = X1,
inference(backward_demodulation,[],[f64,f78]) ).
fof(f78,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(backward_demodulation,[],[f61,f77]) ).
fof(f77,plain,
! [X2] : multiply(X2,identity) = X2,
inference(backward_demodulation,[],[f41,f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(X3,multiply(multiply(X3,multiply(X3,multiply(X0,multiply(X1,multiply(X2,X2))))),X2)),
inference(superposition,[],[f41,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(f41,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X2,multiply(identity,multiply(X0,X0))))),X0)) = X2,
inference(forward_demodulation,[],[f20,f12]) ).
fof(f20,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X2,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
inference(backward_demodulation,[],[f6,f12]) ).
fof(f61,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[],[f58,f12]) ).
fof(f58,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[],[f18,f12]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(backward_demodulation,[],[f1,f12]) ).
fof(f64,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))) = X1,
inference(forward_demodulation,[],[f63,f12]) ).
fof(f63,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(identity,multiply(X2,X2))))) = X1,
inference(forward_demodulation,[],[f55,f12]) ).
fof(f55,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(identity,X2),multiply(identity,X2))))) = X1,
inference(superposition,[],[f18,f12]) ).
fof(f76,plain,
! [X4,X5] : identity = multiply(X5,multiply(X5,multiply(multiply(X5,X4),multiply(X4,X4)))),
inference(forward_demodulation,[],[f75,f12]) ).
fof(f75,plain,
! [X4,X5] : identity = multiply(X5,multiply(multiply(X5,multiply(X5,X4)),multiply(identity,multiply(X4,X4)))),
inference(forward_demodulation,[],[f67,f12]) ).
fof(f67,plain,
! [X4,X5] : identity = multiply(X5,multiply(multiply(X5,multiply(X5,X4)),multiply(multiply(identity,X4),multiply(identity,X4)))),
inference(superposition,[],[f41,f18]) ).
fof(f126,plain,
! [X0] : multiply(a,multiply(a,a)) != multiply(X0,multiply(X0,X0)),
inference(superposition,[],[f2,f85]) ).
fof(f2,axiom,
identity != multiply(a,multiply(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP115-1 : 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
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:23:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (11324)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)
% 0.20/0.48 % (11341)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.20/0.49 % (11324)First to succeed.
% 0.20/0.49 % (11321)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)
% 0.20/0.50 % (11333)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)
% 0.20/0.50 % (11330)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)
% 0.20/0.50 % (11324)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (11324)------------------------------
% 0.20/0.50 % (11324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (11324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (11324)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (11324)Memory used [KB]: 5628
% 0.20/0.50 % (11324)Time elapsed: 0.103 s
% 0.20/0.50 % (11324)Instructions burned: 12 (million)
% 0.20/0.50 % (11324)------------------------------
% 0.20/0.50 % (11324)------------------------------
% 0.20/0.50 % (11318)Success in time 0.147 s
%------------------------------------------------------------------------------