TSTP Solution File: BOO005-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n016.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 13:43:26 EDT 2023
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 (; 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,plain,
$false,
inference(trivial_inequality_removal,[],[f111]) ).
fof(f111,plain,
multiplicative_identity != multiplicative_identity,
inference(superposition,[],[f41,f96]) ).
fof(f96,plain,
! [X1] : multiplicative_identity = add(multiplicative_identity,X1),
inference(forward_demodulation,[],[f83,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.5bSeB0zvbV/Vampire---4.8_17024',additive_inverse2) ).
fof(f83,plain,
! [X1] : add(inverse(X1),X1) = add(multiplicative_identity,X1),
inference(superposition,[],[f76,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/tmp/tmp.5bSeB0zvbV/Vampire---4.8_17024',multiplicative_id1) ).
fof(f76,plain,
! [X12,X13] : add(multiply(inverse(X12),X13),X12) = add(X13,X12),
inference(forward_demodulation,[],[f63,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.5bSeB0zvbV/Vampire---4.8_17024',multiplicative_id2) ).
fof(f63,plain,
! [X12,X13] : add(multiply(inverse(X12),X13),X12) = multiply(multiplicative_identity,add(X13,X12)),
inference(superposition,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.5bSeB0zvbV/Vampire---4.8_17024',distributivity1) ).
fof(f41,plain,
multiplicative_identity != add(multiplicative_identity,a),
inference(superposition,[],[f15,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.5bSeB0zvbV/Vampire---4.8_17024',commutativity_of_add) ).
fof(f15,axiom,
multiplicative_identity != add(a,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.5bSeB0zvbV/Vampire---4.8_17024',prove_a_plus_1_is_a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 16:44:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.42 % (17267)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (17268)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42 % (17270)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)
% 0.20/0.42 % (17272)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)
% 0.20/0.42 % (17271)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (17269)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42 % (17273)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)
% 0.20/0.42 % (17274)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.43 TRYING [1]
% 0.20/0.43 TRYING [3]
% 0.20/0.43 % (17274)First to succeed.
% 0.20/0.43 % (17273)Also succeeded, but the first one will report.
% 0.20/0.43 TRYING [2]
% 0.20/0.43 % (17274)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43 % (17274)------------------------------
% 0.20/0.43 % (17274)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43 % (17274)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43 % (17274)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (17274)Memory used [KB]: 895
% 0.20/0.43 % (17274)Time elapsed: 0.006 s
% 0.20/0.43 % (17274)------------------------------
% 0.20/0.43 % (17274)------------------------------
% 0.20/0.43 % (17267)Success in time 0.064 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------