TSTP Solution File: GRP458-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP458-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 12:07:03 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(trivial_inequality_removal,[],[f192]) ).
fof(f192,plain,
a2 != a2,
inference(superposition,[],[f5,f133]) ).
fof(f133,plain,
! [X1] : multiply(identity,X1) = X1,
inference(backward_demodulation,[],[f128,f129]) ).
fof(f129,plain,
! [X0] : divide(multiply(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f105,f128]) ).
fof(f105,plain,
! [X0] : divide(divide(multiply(identity,X0),identity),identity) = X0,
inference(backward_demodulation,[],[f56,f102]) ).
fof(f102,plain,
! [X1] : multiply(identity,divide(X1,identity)) = divide(multiply(identity,X1),identity),
inference(backward_demodulation,[],[f86,f95]) ).
fof(f95,plain,
! [X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = divide(multiply(identity,X1),identity),
inference(superposition,[],[f56,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : divide(X0,X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f86,plain,
! [X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = multiply(identity,divide(X1,identity)),
inference(backward_demodulation,[],[f72,f85]) ).
fof(f85,plain,
! [X0,X1] : multiply(identity,divide(X0,identity)) = divide(divide(identity,divide(X1,X0)),divide(identity,X1)),
inference(forward_demodulation,[],[f73,f7]) ).
fof(f7,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f73,plain,
! [X0,X1] : multiply(identity,multiply(X0,identity)) = divide(divide(identity,divide(X1,X0)),divide(identity,X1)),
inference(superposition,[],[f42,f51]) ).
fof(f51,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[],[f50,f2]) ).
fof(f50,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[],[f39,f2]) ).
fof(f39,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f6,f4]) ).
fof(f42,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[],[f6,f4]) ).
fof(f72,plain,
! [X2,X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = divide(divide(identity,divide(X2,X1)),divide(identity,X2)),
inference(superposition,[],[f42,f6]) ).
fof(f56,plain,
! [X0] : divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(superposition,[],[f51,f7]) ).
fof(f128,plain,
! [X1] : multiply(identity,X1) = divide(multiply(identity,X1),identity),
inference(backward_demodulation,[],[f95,f127]) ).
fof(f127,plain,
! [X0,X1] : multiply(identity,X1) = divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))),
inference(forward_demodulation,[],[f113,f2]) ).
fof(f113,plain,
! [X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = divide(identity,divide(identity,X1)),
inference(superposition,[],[f88,f6]) ).
fof(f88,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f75,f4]) ).
fof(f75,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f42,f4]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP458-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:01:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (30023)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (30026)WARNING: value z3 for option sas not known
% 0.14/0.38 % (30027)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (30024)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (30025)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (30028)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)
% 0.14/0.38 % (30026)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)
% 0.14/0.38 % (30029)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)
% 0.14/0.38 % (30030)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (30029)First to succeed.
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (30026)Also succeeded, but the first one will report.
% 0.14/0.39 % (30029)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (30029)------------------------------
% 0.14/0.39 % (30029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (30029)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (30029)Memory used [KB]: 841
% 0.14/0.39 % (30029)Time elapsed: 0.010 s
% 0.14/0.39 % (30029)Instructions burned: 14 (million)
% 0.14/0.39 % (30029)------------------------------
% 0.14/0.39 % (30029)------------------------------
% 0.14/0.39 % (30023)Success in time 0.026 s
%------------------------------------------------------------------------------