TSTP Solution File: GRP550-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% 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 16:16:30 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,plain,
$false,
inference(trivial_inequality_removal,[],[f70]) ).
fof(f70,plain,
a2 != a2,
inference(superposition,[],[f7,f50]) ).
fof(f50,plain,
! [X1] : divide(identity,divide(identity,X1)) = X1,
inference(backward_demodulation,[],[f15,f48]) ).
fof(f48,plain,
! [X1] : divide(identity,X1) = divide(identity,divide(X1,identity)),
inference(backward_demodulation,[],[f26,f47]) ).
fof(f47,plain,
! [X0] : divide(identity,X0) = divide(divide(identity,X0),identity),
inference(forward_demodulation,[],[f43,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f43,plain,
! [X0] : divide(divide(identity,X0),identity) = divide(divide(identity,identity),X0),
inference(superposition,[],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(forward_demodulation,[],[f19,f12]) ).
fof(f12,plain,
! [X3,X4] : divide(divide(identity,X4),divide(identity,X3)) = divide(X3,X4),
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f19,plain,
! [X0,X1] : divide(X0,divide(divide(identity,X1),divide(identity,divide(X0,identity)))) = X1,
inference(superposition,[],[f9,f15]) ).
fof(f9,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f24,plain,
! [X2] : divide(divide(identity,divide(identity,X2)),identity) = X2,
inference(superposition,[],[f9,f4]) ).
fof(f26,plain,
! [X1] : divide(divide(identity,X1),identity) = divide(identity,divide(X1,identity)),
inference(superposition,[],[f20,f20]) ).
fof(f20,plain,
! [X2] : divide(identity,divide(divide(identity,X2),identity)) = X2,
inference(superposition,[],[f9,f4]) ).
fof(f15,plain,
! [X1] : divide(identity,divide(identity,divide(X1,identity))) = X1,
inference(forward_demodulation,[],[f14,f4]) ).
fof(f14,plain,
! [X1] : divide(identity,divide(divide(identity,identity),divide(X1,identity))) = X1,
inference(backward_demodulation,[],[f8,f11]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),divide(X2,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X0,X1] : divide(identity,divide(divide(divide(X0,identity),X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f7,plain,
a2 != divide(identity,divide(identity,a2)),
inference(backward_demodulation,[],[f6,f4]) ).
fof(f6,plain,
a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)),
inference(definition_unfolding,[],[f5,f2,f2,f3]) ).
fof(f3,axiom,
! [X0] : divide(identity,X0) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % 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 : n029.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 22:43:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (14555)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.51 % (14547)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 (2999ds/321Mi)
% 0.20/0.51 % (14537)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.52 % (14532)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.52 % (14536)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 (2999ds/48Mi)
% 0.20/0.52 % (14547)First to succeed.
% 0.20/0.52 % (14553)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.52 % (14534)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 (2999ds/37Mi)
% 0.20/0.53 % (14533)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 (2999ds/10Mi)
% 0.20/0.53 % (14537)Instruction limit reached!
% 0.20/0.53 % (14537)------------------------------
% 0.20/0.53 % (14537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14547)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (14547)------------------------------
% 0.20/0.53 % (14547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14547)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (14547)Memory used [KB]: 5500
% 0.20/0.53 % (14547)Time elapsed: 0.108 s
% 0.20/0.53 % (14547)Instructions burned: 5 (million)
% 0.20/0.53 % (14547)------------------------------
% 0.20/0.53 % (14547)------------------------------
% 0.20/0.53 % (14529)Success in time 0.171 s
%------------------------------------------------------------------------------