TSTP Solution File: GRP022-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n020.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 : Fri Sep 1 15:38:22 EDT 2023
% Result : Unsatisfiable 0.23s 0.42s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(trivial_inequality_removal,[],[f43]) ).
fof(f43,plain,
a != a,
inference(superposition,[],[f6,f37]) ).
fof(f37,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f29,f4]) ).
fof(f4,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Dd4PG1AHOS/Vampire---4.8_9845',right_identity) ).
fof(f29,plain,
! [X2] : inverse(inverse(X2)) = multiply(X2,identity),
inference(superposition,[],[f22,f5]) ).
fof(f5,axiom,
! [X0] : identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.Dd4PG1AHOS/Vampire---4.8_9845',right_inverse) ).
fof(f22,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),X3)) = X3,
inference(forward_demodulation,[],[f14,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Dd4PG1AHOS/Vampire---4.8_9845',left_identity) ).
fof(f14,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f5]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.Dd4PG1AHOS/Vampire---4.8_9845',associativity) ).
fof(f6,axiom,
a != inverse(inverse(a)),
file('/export/starexec/sandbox2/tmp/tmp.Dd4PG1AHOS/Vampire---4.8_9845',prove_inverse_of_inverse_is_original) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.37 % Computer : n020.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Aug 30 17:29:58 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.23/0.41 % (9962)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41 % (9963)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.41 % (9966)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.41 % (9964)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.41 % (9967)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 Vampire---4 for (531ds/0Mi)
% 0.23/0.41 % (9965)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 Vampire---4 for (569ds/0Mi)
% 0.23/0.41 % (9968)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 Vampire---4 for (522ds/0Mi)
% 0.23/0.41 % (9969)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 Vampire---4 for (497ds/0Mi)
% 0.23/0.41 TRYING [1]
% 0.23/0.41 TRYING [1]
% 0.23/0.41 TRYING [2]
% 0.23/0.41 TRYING [2]
% 0.23/0.41 TRYING [3]
% 0.23/0.41 % (9969)First to succeed.
% 0.23/0.41 TRYING [3]
% 0.23/0.41 % (9968)Also succeeded, but the first one will report.
% 0.23/0.41 TRYING [1]
% 0.23/0.41 TRYING [4]
% 0.23/0.41 TRYING [2]
% 0.23/0.42 % (9969)Refutation found. Thanks to Tanya!
% 0.23/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.42 % (9969)------------------------------
% 0.23/0.42 % (9969)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.42 % (9969)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.42 % (9969)Termination reason: Refutation
% 0.23/0.42
% 0.23/0.42 % (9969)Memory used [KB]: 895
% 0.23/0.42 % (9969)Time elapsed: 0.004 s
% 0.23/0.42 % (9969)------------------------------
% 0.23/0.42 % (9969)------------------------------
% 0.23/0.42 % (9962)Success in time 0.041 s
% 0.23/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------