TSTP Solution File: GRP544-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : 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 : Fri Sep 1 15:55:51 EDT 2023
% Result : Unsatisfiable 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 42 (; 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f235,plain,
$false,
inference(trivial_inequality_removal,[],[f234]) ).
fof(f234,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f209]) ).
fof(f209,plain,
! [X2,X1] : multiply(X2,X1) = multiply(X1,X2),
inference(forward_demodulation,[],[f201,f95]) ).
fof(f95,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(backward_demodulation,[],[f12,f89]) ).
fof(f89,plain,
! [X1] : multiply(identity,X1) = X1,
inference(superposition,[],[f81,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.K3ATpxACEO/Vampire---4.8_21393',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/tmp/tmp.K3ATpxACEO/Vampire---4.8_21393',multiply) ).
fof(f81,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[],[f71,f3]) ).
fof(f71,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f48,f15]) ).
fof(f15,plain,
identity = multiply(identity,identity),
inference(superposition,[],[f11,f8]) ).
fof(f8,plain,
identity = inverse(identity),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.K3ATpxACEO/Vampire---4.8_21393',identity) ).
fof(f11,plain,
! [X2] : identity = multiply(inverse(X2),X2),
inference(superposition,[],[f6,f4]) ).
fof(f48,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f47,f12]) ).
fof(f47,plain,
! [X0,X1] : divide(inverse(inverse(X0)),divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f40,f3]) ).
fof(f40,plain,
! [X0,X1] : divide(inverse(divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.K3ATpxACEO/Vampire---4.8_21393',single_axiom) ).
fof(f12,plain,
! [X3] : inverse(inverse(X3)) = multiply(identity,X3),
inference(superposition,[],[f6,f3]) ).
fof(f201,plain,
! [X2,X1] : multiply(X1,X2) = multiply(inverse(inverse(X2)),X1),
inference(superposition,[],[f103,f106]) ).
fof(f106,plain,
! [X10,X11] : inverse(X11) = divide(X10,multiply(X10,X11)),
inference(backward_demodulation,[],[f79,f89]) ).
fof(f79,plain,
! [X10,X11] : inverse(X11) = divide(multiply(identity,X10),multiply(X10,X11)),
inference(superposition,[],[f48,f6]) ).
fof(f103,plain,
! [X2,X3] : multiply(inverse(divide(X2,X3)),X2) = X3,
inference(backward_demodulation,[],[f63,f89]) ).
fof(f63,plain,
! [X2,X3] : multiply(inverse(divide(multiply(identity,X2),X3)),X2) = X3,
inference(forward_demodulation,[],[f57,f12]) ).
fof(f57,plain,
! [X2,X3] : multiply(inverse(divide(inverse(inverse(X2)),X3)),X2) = X3,
inference(superposition,[],[f45,f6]) ).
fof(f45,plain,
! [X0,X1] : divide(inverse(divide(inverse(X1),X0)),X1) = X0,
inference(forward_demodulation,[],[f36,f3]) ).
fof(f36,plain,
! [X0,X1] : divide(inverse(divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/tmp/tmp.K3ATpxACEO/Vampire---4.8_21393',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 30 17:26:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.38 % (21564)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.39 % (21573)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)
% 0.19/0.39 % (21566)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.39 % (21570)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.39 % (21567)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.39 % (21571)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)
% 0.19/0.39 % (21568)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)
% 0.19/0.39 % (21574)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)
% 0.19/0.39 TRYING [1]
% 0.19/0.39 TRYING [2]
% 0.19/0.39 TRYING [1]
% 0.19/0.39 TRYING [3]
% 0.19/0.39 TRYING [2]
% 0.19/0.39 % (21573)First to succeed.
% 0.19/0.39 TRYING [4]
% 0.19/0.39 TRYING [3]
% 0.19/0.39 % (21573)Refutation found. Thanks to Tanya!
% 0.19/0.39 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.39 % (21573)------------------------------
% 0.19/0.39 % (21573)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.39 % (21573)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.39 % (21573)Termination reason: Refutation
% 0.19/0.39
% 0.19/0.39 % (21573)Memory used [KB]: 1023
% 0.19/0.39 % (21573)Time elapsed: 0.007 s
% 0.19/0.39 % (21573)------------------------------
% 0.19/0.39 % (21573)------------------------------
% 0.19/0.39 % (21564)Success in time 0.042 s
% 0.19/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------