TSTP Solution File: GRP542-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP542-1 : 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 : 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 16:16:29 EDT 2022
% Result : Unsatisfiable 1.66s 0.58s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 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 : 6 ( 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 : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,plain,
$false,
inference(trivial_inequality_removal,[],[f50]) ).
fof(f50,plain,
a2 != a2,
inference(backward_demodulation,[],[f7,f49]) ).
fof(f49,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
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,identity),divide(identity,X0)) = X0,
inference(superposition,[],[f8,f18]) ).
fof(f18,plain,
! [X0] : identity = divide(divide(identity,divide(identity,X0)),X0),
inference(forward_demodulation,[],[f14,f4]) ).
fof(f14,plain,
! [X0] : identity = divide(divide(identity,divide(divide(identity,identity),X0)),X0),
inference(superposition,[],[f12,f4]) ).
fof(f12,plain,
! [X2,X1] : divide(divide(identity,divide(divide(identity,divide(X1,identity)),X2)),X2) = X1,
inference(backward_demodulation,[],[f1,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f8,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
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] : inverse(X0) = divide(identity,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
% 0.07/0.12 % Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % 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 : n025.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 22:41:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.47/0.56 % (7557)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)
% 1.47/0.56 % (7565)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 1.66/0.57 % (7557)First to succeed.
% 1.66/0.57 % (7549)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 (2999ds/37Mi)
% 1.66/0.58 % (7555)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)
% 1.66/0.58 % (7557)Refutation found. Thanks to Tanya!
% 1.66/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.66/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.58 % (7557)------------------------------
% 1.66/0.58 % (7557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (7557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58 % (7557)Termination reason: Refutation
% 1.66/0.58
% 1.66/0.58 % (7557)Memory used [KB]: 5500
% 1.66/0.58 % (7557)Time elapsed: 0.143 s
% 1.66/0.58 % (7557)Instructions burned: 4 (million)
% 1.66/0.58 % (7557)------------------------------
% 1.66/0.58 % (7557)------------------------------
% 1.66/0.58 % (7540)Success in time 0.228 s
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