TSTP Solution File: FLD038-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD038-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : 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 : Fri Sep 1 14:28:07 EDT 2023
% Result : Unsatisfiable 0.17s 0.44s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 17 (; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1075,plain,
$false,
inference(subsumption_resolution,[],[f1074,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',a_is_defined) ).
fof(f1074,plain,
~ defined(a),
inference(subsumption_resolution,[],[f1073,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',not_sum_3) ).
fof(f1073,plain,
( sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(subsumption_resolution,[],[f1071,f31]) ).
fof(f31,axiom,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',not_product_5) ).
fof(f1071,plain,
( product(multiplicative_identity,a,b)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f335,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',existence_of_inverse_multiplication) ).
fof(f335,plain,
! [X1] :
( ~ product(multiplicative_inverse(a),X1,multiplicative_identity)
| product(multiplicative_identity,X1,b) ),
inference(subsumption_resolution,[],[f331,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',b_is_defined) ).
fof(f331,plain,
! [X1] :
( ~ product(multiplicative_inverse(a),X1,multiplicative_identity)
| product(multiplicative_identity,X1,b)
| ~ defined(b) ),
inference(resolution,[],[f154,f36]) ).
fof(f36,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',commutativity_multiplication) ).
fof(f154,plain,
! [X21,X22,X20] :
( ~ product(b,X21,X22)
| ~ product(multiplicative_inverse(a),X20,X21)
| product(multiplicative_identity,X20,X22) ),
inference(resolution,[],[f7,f30]) ).
fof(f30,axiom,
product(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',product_4) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X0,X1,X2)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.Lrt9lBdo7x/Vampire---4.8_8358',associativity_multiplication_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : FLD038-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n002.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 17:07:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.17/0.41 % (8471)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.42 % (8472)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.42 % (8473)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.42 % (8474)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.17/0.42 % (8476)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.17/0.42 % (8478)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.42 % (8477)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.42 TRYING [1]
% 0.17/0.42 % (8475)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.17/0.42 TRYING [2]
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.42 TRYING [3]
% 0.17/0.42 TRYING [3]
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.42 TRYING [3]
% 0.17/0.42 TRYING [3]
% 0.17/0.43 TRYING [4]
% 0.17/0.43 TRYING [4]
% 0.17/0.43 TRYING [4]
% 0.17/0.43 TRYING [4]
% 0.17/0.44 % (8477)First to succeed.
% 0.17/0.44 % (8477)Refutation found. Thanks to Tanya!
% 0.17/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.17/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.44 % (8477)------------------------------
% 0.17/0.44 % (8477)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.44 % (8477)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.44 % (8477)Termination reason: Refutation
% 0.17/0.44
% 0.17/0.44 % (8477)Memory used [KB]: 6012
% 0.17/0.44 % (8477)Time elapsed: 0.021 s
% 0.17/0.44 % (8477)------------------------------
% 0.17/0.44 % (8477)------------------------------
% 0.17/0.44 % (8471)Success in time 0.073 s
% 0.17/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------