TSTP Solution File: GRP446-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP446-1 : 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 : n008.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 12:07:00 EDT 2024
% Result : Unsatisfiable 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 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 : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f647,plain,
$false,
inference(trivial_inequality_removal,[],[f631]) ).
fof(f631,plain,
a2 != a2,
inference(superposition,[],[f51,f613]) ).
fof(f613,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f597,f324]) ).
fof(f324,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f130,f214]) ).
fof(f214,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f132,f5]) ).
fof(f5,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f132,plain,
! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
inference(forward_demodulation,[],[f131,f14]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f131,plain,
! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
inference(forward_demodulation,[],[f109,f5]) ).
fof(f109,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X0,X0)),X2))) = X1,
inference(superposition,[],[f49,f3]) ).
fof(f49,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f48,f3]) ).
fof(f48,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f130,plain,
! [X0,X1] : divide(X1,inverse(multiply(inverse(X1),X0))) = X0,
inference(forward_demodulation,[],[f108,f14]) ).
fof(f108,plain,
! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f49,f3]) ).
fof(f597,plain,
! [X0,X1] : inverse(divide(inverse(X0),divide(X1,X1))) = X0,
inference(superposition,[],[f132,f561]) ).
fof(f561,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f539,f324]) ).
fof(f539,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X1)) = multiply(X2,divide(X0,X0)),
inference(superposition,[],[f14,f364]) ).
fof(f364,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(superposition,[],[f300,f3]) ).
fof(f300,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f214,f214]) ).
fof(f51,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f4,f27]) ).
fof(f27,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f15,f14]) ).
fof(f15,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
inference(superposition,[],[f14,f3]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP446-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 04:33:12 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (4578)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (4581)WARNING: value z3 for option sas not known
% 0.15/0.36 % (4581)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)
% 0.21/0.37 % (4579)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (4580)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (4582)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (4583)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)
% 0.21/0.37 % (4584)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)
% 0.21/0.37 % (4585)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 % (4581)First to succeed.
% 0.21/0.37 % (4581)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (4581)------------------------------
% 0.21/0.37 % (4581)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (4581)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (4581)Memory used [KB]: 1007
% 0.21/0.37 % (4581)Time elapsed: 0.012 s
% 0.21/0.37 % (4581)Instructions burned: 34 (million)
% 0.21/0.37 % (4581)------------------------------
% 0.21/0.37 % (4581)------------------------------
% 0.21/0.37 % (4578)Success in time 0.021 s
%------------------------------------------------------------------------------