TSTP Solution File: GRP561-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP561-1 : 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 : n011.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 : Sun May 5 06:09:27 EDT 2024
% Result : Unsatisfiable 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f451,plain,
$false,
inference(subsumption_resolution,[],[f450,f129]) ).
fof(f129,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f120,f80]) ).
fof(f80,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(superposition,[],[f68,f64]) ).
fof(f64,plain,
! [X3,X1] : divide(multiply(X3,X1),X3) = X1,
inference(forward_demodulation,[],[f63,f2]) ).
fof(f2,axiom,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f63,plain,
! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f47,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f47,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f7,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f4,f4]) ).
fof(f68,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f4,f64]) ).
fof(f120,plain,
! [X2,X1] : divide(multiply(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f109,f80]) ).
fof(f109,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),multiply(divide(X0,X0),X2)) = X1,
inference(superposition,[],[f8,f80]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f4,f2]) ).
fof(f450,plain,
divide(b1,b1) != divide(a1,a1),
inference(forward_demodulation,[],[f429,f316]) ).
fof(f316,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[],[f10,f269]) ).
fof(f269,plain,
! [X0,X1] : divide(X1,multiply(inverse(X0),X1)) = X0,
inference(superposition,[],[f64,f61]) ).
fof(f61,plain,
! [X3,X1] : multiply(multiply(inverse(X3),X1),X3) = X1,
inference(forward_demodulation,[],[f60,f2]) ).
fof(f60,plain,
! [X3,X1] : multiply(divide(inverse(X3),inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f39,f4]) ).
fof(f39,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(X3),divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f22,f22]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X1,divide(multiply(X0,X1),multiply(X0,X2))) = X2,
inference(superposition,[],[f4,f8]) ).
fof(f429,plain,
multiply(inverse(a1),a1) != divide(b1,b1),
inference(superposition,[],[f3,f316]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP561-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:50:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (21684)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (21685)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (21689)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 TRYING [3]
% 0.14/0.39 % (21687)WARNING: value z3 for option sas not known
% 0.14/0.39 % (21686)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (21688)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (21687)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)
% 0.14/0.39 % (21690)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)
% 0.14/0.39 % (21691)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.41 % (21687)First to succeed.
% 0.14/0.41 % (21691)Also succeeded, but the first one will report.
% 0.14/0.41 % (21687)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21684"
% 0.14/0.42 % (21687)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.42 % (21687)------------------------------
% 0.14/0.42 % (21687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.42 % (21687)Termination reason: Refutation
% 0.14/0.42
% 0.14/0.42 % (21687)Memory used [KB]: 1039
% 0.14/0.42 % (21687)Time elapsed: 0.029 s
% 0.14/0.42 % (21687)Instructions burned: 27 (million)
% 0.14/0.42 % (21684)Success in time 0.057 s
%------------------------------------------------------------------------------