TSTP Solution File: GRP536-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP536-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Mon May 20 21:31:17 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,plain,
$false,
inference(trivial_inequality_removal,[],[f218]) ).
fof(f218,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f170]) ).
fof(f170,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f157,f42]) ).
fof(f42,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f41,f8]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f7,f6]) ).
fof(f6,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f41,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[],[f31,f6]) ).
fof(f31,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f157,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f148,f69]) ).
fof(f69,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,X0),
inference(superposition,[],[f8,f56]) ).
fof(f56,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f47,f6]) ).
fof(f47,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(superposition,[],[f42,f12]) ).
fof(f12,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f8,f4]) ).
fof(f148,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f127,f8]) ).
fof(f127,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(superposition,[],[f78,f42]) ).
fof(f78,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f72,f35]) ).
fof(f35,plain,
! [X0,X1] : divide(X0,X1) = divide(divide(X0,identity),X1),
inference(superposition,[],[f1,f4]) ).
fof(f72,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(superposition,[],[f65,f1]) ).
fof(f65,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f42,f55]) ).
fof(f55,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f47,f8]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP536-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31 % Computer : n019.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sun May 19 04:38:37 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (27616)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (27619)WARNING: value z3 for option sas not known
% 0.16/0.34 % (27618)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.34 % (27617)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.34 % (27619)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 % (27620)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34 % (27622)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.34 % (27621)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.34 % (27623)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 % (27623)First to succeed.
% 0.16/0.34 % (27623)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27616"
% 0.16/0.34 % (27619)Also succeeded, but the first one will report.
% 0.16/0.34 TRYING [4]
% 0.16/0.34 % (27622)Also succeeded, but the first one will report.
% 0.16/0.34 % (27623)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (27623)------------------------------
% 0.16/0.34 % (27623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (27623)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (27623)Memory used [KB]: 828
% 0.16/0.34 % (27623)Time elapsed: 0.007 s
% 0.16/0.34 % (27623)Instructions burned: 10 (million)
% 0.16/0.34 % (27616)Success in time 0.022 s
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