TSTP Solution File: FLD031-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD031-1 : 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 : n022.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 14:28:05 EDT 2023
% Result : Unsatisfiable 1.69s 0.66s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 27 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 (; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8117,plain,
$false,
inference(subsumption_resolution,[],[f8116,f32]) ).
fof(f32,plain,
equalish(multiplicative_identity,a),
inference(resolution,[],[f22,f29]) ).
fof(f29,axiom,
equalish(a,multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',a_equals_multiplicative_identity_2) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',symmetry_of_equality) ).
fof(f8116,plain,
~ equalish(multiplicative_identity,a),
inference(subsumption_resolution,[],[f8102,f31]) ).
fof(f31,axiom,
~ equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',multiplicative_inverses_not_equal) ).
fof(f8102,plain,
( equalish(multiplicative_inverse(a),multiplicative_identity)
| ~ equalish(multiplicative_identity,a) ),
inference(resolution,[],[f600,f1890]) ).
fof(f1890,plain,
! [X19] :
( equalish(multiply(X19,multiplicative_inverse(a)),multiplicative_identity)
| ~ equalish(X19,a) ),
inference(subsumption_resolution,[],[f1889,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',a_is_defined) ).
fof(f1889,plain,
! [X19] :
( ~ equalish(X19,a)
| equalish(multiply(X19,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(a) ),
inference(subsumption_resolution,[],[f1870,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',a_not_equal_to_additive_identity_3) ).
fof(f1870,plain,
! [X19] :
( ~ equalish(X19,a)
| equalish(multiply(X19,multiplicative_inverse(a)),multiplicative_identity)
| equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f391,f7]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',existence_of_inverse_multiplication) ).
fof(f391,plain,
! [X21,X22,X20] :
( ~ equalish(multiply(X21,multiplicative_inverse(a)),X22)
| ~ equalish(X20,X21)
| equalish(multiply(X20,multiplicative_inverse(a)),X22) ),
inference(resolution,[],[f106,f42]) ).
fof(f42,plain,
defined(multiplicative_inverse(a)),
inference(subsumption_resolution,[],[f41,f28]) ).
fof(f41,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(resolution,[],[f15,f30]) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',well_definedness_of_multiplicative_inverse) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ defined(X2)
| ~ equalish(X0,X1)
| ~ equalish(multiply(X1,X2),X3)
| equalish(multiply(X0,X2),X3) ),
inference(resolution,[],[f25,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',compatibility_of_equality_and_multiplication) ).
fof(f600,plain,
! [X10] :
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),X10)
| equalish(multiplicative_inverse(a),X10) ),
inference(resolution,[],[f47,f42]) ).
fof(f47,plain,
! [X6,X7] :
( ~ defined(X6)
| equalish(X6,X7)
| ~ equalish(multiply(multiplicative_identity,X6),X7) ),
inference(resolution,[],[f23,f36]) ).
fof(f36,plain,
! [X0] :
( equalish(X0,multiply(multiplicative_identity,X0))
| ~ defined(X0) ),
inference(resolution,[],[f6,f22]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.iX5V47GKrk/Vampire---4.8_20320',existence_of_identity_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n022.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 16:48:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.42 % (20519)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (20527)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.43 % (20528)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (20530)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 % (20529)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)
% 0.21/0.43 % (20531)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.43 % (20532)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.43 % (20533)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)
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.46 TRYING [4]
% 0.21/0.46 TRYING [4]
% 0.21/0.46 TRYING [4]
% 0.21/0.48 TRYING [5]
% 0.21/0.50 TRYING [5]
% 0.21/0.51 TRYING [5]
% 0.21/0.51 TRYING [5]
% 1.01/0.57 TRYING [6]
% 1.01/0.60 TRYING [6]
% 1.01/0.60 TRYING [6]
% 1.01/0.62 TRYING [6]
% 1.69/0.66 % (20532)First to succeed.
% 1.69/0.66 % (20532)Refutation found. Thanks to Tanya!
% 1.69/0.66 % SZS status Unsatisfiable for Vampire---4
% 1.69/0.66 % SZS output start Proof for Vampire---4
% See solution above
% 1.69/0.66 % (20532)------------------------------
% 1.69/0.66 % (20532)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.69/0.66 % (20532)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.69/0.66 % (20532)Termination reason: Refutation
% 1.69/0.66
% 1.69/0.66 % (20532)Memory used [KB]: 9850
% 1.69/0.66 % (20532)Time elapsed: 0.236 s
% 1.69/0.66 % (20532)------------------------------
% 1.69/0.66 % (20532)------------------------------
% 1.69/0.66 % (20519)Success in time 0.296 s
% 1.69/0.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------