TSTP Solution File: GRP008-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 05:52:17 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(resolution,[],[f85,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f85,plain,
~ product(identity,j(identity),j(identity)),
inference(resolution,[],[f83,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f83,plain,
( ~ product(j(identity),identity,j(identity))
| ~ product(identity,j(identity),j(identity)) ),
inference(forward_demodulation,[],[f82,f79]) ).
fof(f79,plain,
j(identity) = h(identity),
inference(resolution,[],[f78,f12]) ).
fof(f12,axiom,
~ q(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_q) ).
fof(f78,plain,
( q(identity)
| j(identity) = h(identity) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f74,plain,
( j(identity) = h(identity)
| q(identity)
| j(identity) = h(identity) ),
inference(resolution,[],[f41,f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f41,plain,
( product(identity,j(identity),h(identity))
| j(identity) = h(identity)
| q(identity) ),
inference(resolution,[],[f14,f10]) ).
fof(f10,axiom,
! [X6] :
( product(j(X6),X6,h(X6))
| product(X6,j(X6),h(X6))
| q(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning3) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f82,plain,
( ~ product(j(identity),identity,j(identity))
| ~ product(identity,j(identity),h(identity)) ),
inference(backward_demodulation,[],[f68,f79]) ).
fof(f68,plain,
( ~ product(j(identity),identity,h(identity))
| ~ product(identity,j(identity),h(identity)) ),
inference(resolution,[],[f11,f12]) ).
fof(f11,axiom,
! [X6] :
( q(X6)
| ~ product(X6,j(X6),h(X6))
| ~ product(j(X6),X6,h(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:44:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.35 % (10456)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (10459)WARNING: value z3 for option sas not known
% 0.21/0.37 % (10460)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (10457)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (10459)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 % (10458)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 % (10462)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 % (10461)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 % (10463)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]
% 0.21/0.38 % (10462)First to succeed.
% 0.21/0.38 % (10462)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10456"
% 0.21/0.38 % (10459)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (10462)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (10462)------------------------------
% 0.21/0.38 % (10462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (10462)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (10462)Memory used [KB]: 789
% 0.21/0.38 % (10462)Time elapsed: 0.006 s
% 0.21/0.38 % (10462)Instructions burned: 5 (million)
% 0.21/0.38 % (10456)Success in time 0.011 s
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