TSTP Solution File: GRP573-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n014.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 15:55:55 EDT 2023
% Result : Unsatisfiable 0.24s 0.45s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 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 : 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 : 22 (; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,plain,
$false,
inference(subsumption_resolution,[],[f152,f16]) ).
fof(f16,plain,
identity != inverse(identity),
inference(superposition,[],[f5,f14]) ).
fof(f14,plain,
! [X1] : inverse(identity) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.dHLWFaAGCn/Vampire---4.8_29757',inverse) ).
fof(f9,plain,
! [X1] : double_divide(identity,identity) = multiply(inverse(X1),X1),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.dHLWFaAGCn/Vampire---4.8_29757',identity) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/tmp/tmp.dHLWFaAGCn/Vampire---4.8_29757',multiply) ).
fof(f5,axiom,
identity != multiply(inverse(a1),a1),
file('/export/starexec/sandbox/tmp/tmp.dHLWFaAGCn/Vampire---4.8_29757',prove_these_axioms_1) ).
fof(f152,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f141,f4]) ).
fof(f141,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f99,f131]) ).
fof(f131,plain,
identity = inverse(inverse(inverse(inverse(identity)))),
inference(forward_demodulation,[],[f119,f4]) ).
fof(f119,plain,
double_divide(identity,inverse(identity)) = inverse(inverse(inverse(inverse(identity)))),
inference(superposition,[],[f104,f4]) ).
fof(f104,plain,
! [X0] : inverse(inverse(X0)) = double_divide(double_divide(inverse(identity),X0),inverse(identity)),
inference(superposition,[],[f83,f99]) ).
fof(f83,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(inverse(X3),inverse(X2))),inverse(identity)) = X3,
inference(forward_demodulation,[],[f73,f3]) ).
fof(f73,plain,
! [X2,X3] : double_divide(double_divide(inverse(X2),double_divide(double_divide(X3,identity),inverse(X2))),inverse(identity)) = X3,
inference(superposition,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/tmp/tmp.dHLWFaAGCn/Vampire---4.8_29757',single_axiom) ).
fof(f99,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f92,f3]) ).
fof(f92,plain,
! [X0] : double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(superposition,[],[f83,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38 % Computer : n014.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Wed Aug 30 17:22:14 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.44 % (30026)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (30044)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.24/0.44 % (30043)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.24/0.44 % (30046)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.24/0.44 % (30045)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)
% 0.24/0.44 % (30047)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)
% 0.24/0.44 % (30048)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)
% 0.24/0.44 % (30049)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)
% 0.24/0.44 TRYING [1]
% 0.24/0.44 TRYING [2]
% 0.24/0.44 TRYING [1]
% 0.24/0.44 TRYING [2]
% 0.24/0.44 TRYING [3]
% 0.24/0.45 % (30049)First to succeed.
% 0.24/0.45 TRYING [3]
% 0.24/0.45 TRYING [4]
% 0.24/0.45 % (30049)Refutation found. Thanks to Tanya!
% 0.24/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.24/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.45 % (30049)------------------------------
% 0.24/0.45 % (30049)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.45 % (30049)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.45 % (30049)Termination reason: Refutation
% 0.24/0.45
% 0.24/0.45 % (30049)Memory used [KB]: 1023
% 0.24/0.45 % (30049)Time elapsed: 0.007 s
% 0.24/0.45 % (30049)------------------------------
% 0.24/0.45 % (30049)------------------------------
% 0.24/0.45 % (30026)Success in time 0.066 s
% 0.24/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------