TSTP Solution File: FLD031-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : 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 : Wed Aug 30 22:37:39 EDT 2023
% Result : Unsatisfiable 0.23s 0.53s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 118 ( 64 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2308,plain,
$false,
inference(subsumption_resolution,[],[f14,f2300]) ).
fof(f2300,plain,
~ defined(multiplicative_identity),
inference(resolution,[],[f2291,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',a_is_defined) ).
fof(f2291,plain,
( ~ defined(a)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f2273,f21]) ).
fof(f21,axiom,
! [X0] :
( equalish(X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',reflexivity_of_equality) ).
fof(f2273,plain,
( ~ equalish(multiplicative_identity,multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[],[f2240,f29]) ).
fof(f29,axiom,
equalish(a,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',a_equals_multiplicative_identity_2) ).
fof(f2240,plain,
! [X2] :
( ~ equalish(a,X2)
| ~ equalish(X2,multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[],[f2221,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',symmetry_of_equality) ).
fof(f2221,plain,
! [X3] :
( ~ equalish(X3,a)
| ~ defined(a)
| ~ equalish(X3,multiplicative_identity) ),
inference(resolution,[],[f2153,f22]) ).
fof(f2153,plain,
! [X0] :
( ~ equalish(multiplicative_identity,X0)
| ~ defined(a)
| ~ equalish(X0,a) ),
inference(resolution,[],[f2118,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',transitivity_of_equality) ).
fof(f2118,plain,
( ~ equalish(multiplicative_identity,a)
| ~ defined(a) ),
inference(resolution,[],[f2111,f32]) ).
fof(f32,plain,
~ equalish(additive_identity,a),
inference(resolution,[],[f22,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',a_not_equal_to_additive_identity_3) ).
fof(f2111,plain,
( equalish(additive_identity,a)
| ~ equalish(multiplicative_identity,a)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f2110]) ).
fof(f2110,plain,
( equalish(additive_identity,a)
| ~ equalish(multiplicative_identity,a)
| equalish(additive_identity,a)
| ~ defined(a) ),
inference(forward_literal_rewriting,[],[f2109,f22]) ).
fof(f2109,plain,
( ~ equalish(multiplicative_identity,a)
| equalish(additive_identity,a)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(duplicate_literal_removal,[],[f2108]) ).
fof(f2108,plain,
( ~ equalish(multiplicative_identity,a)
| equalish(additive_identity,a)
| ~ defined(a)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(resolution,[],[f2071,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',well_definedness_of_multiplicative_inverse) ).
fof(f2071,plain,
( ~ defined(multiplicative_inverse(a))
| ~ equalish(multiplicative_identity,a)
| equalish(additive_identity,a)
| ~ defined(a) ),
inference(forward_literal_rewriting,[],[f2070,f22]) ).
fof(f2070,plain,
( ~ equalish(multiplicative_identity,a)
| ~ defined(multiplicative_inverse(a))
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(forward_literal_rewriting,[],[f2065,f22]) ).
fof(f2065,plain,
( ~ defined(multiplicative_inverse(a))
| ~ equalish(a,multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(resolution,[],[f524,f75]) ).
fof(f75,plain,
! [X0] :
( equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0)))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(forward_literal_rewriting,[],[f7,f22]) ).
fof(f7,axiom,
! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity) ),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',existence_of_inverse_multiplication) ).
fof(f524,plain,
! [X4] :
( ~ equalish(multiplicative_identity,multiply(X4,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X4,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f523]) ).
fof(f523,plain,
! [X4] :
( ~ equalish(multiplicative_identity,multiply(X4,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X4,multiplicative_identity)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f178,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',compatibility_of_equality_and_multiplication) ).
fof(f178,plain,
! [X0] :
( ~ equalish(X0,multiply(multiplicative_identity,multiplicative_inverse(a)))
| ~ equalish(multiplicative_identity,X0)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f82,f23]) ).
fof(f82,plain,
( ~ equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a)) ),
inference(forward_literal_rewriting,[],[f80,f22]) ).
fof(f80,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f47,f39]) ).
fof(f39,plain,
! [X0] :
( equalish(X0,multiply(multiplicative_identity,X0))
| ~ defined(X0) ),
inference(forward_literal_rewriting,[],[f6,f22]) ).
fof(f6,axiom,
! [X0] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',existence_of_identity_multiplication) ).
fof(f47,plain,
! [X3] :
( ~ equalish(multiplicative_inverse(a),X3)
| ~ equalish(X3,multiplicative_identity) ),
inference(resolution,[],[f23,f31]) ).
fof(f31,axiom,
~ equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',multiplicative_inverses_not_equal) ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281',well_definedness_of_multiplicative_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 00:08:49 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.hPUEZdfeWv/Vampire---4.8_14281
% 0.15/0.37 % (14567)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (14583)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.43 % (14582)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43 % (14591)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43 % (14592)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.43 % (14588)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43 % (14589)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.44 % (14590)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.53 % (14583)First to succeed.
% 0.23/0.53 % (14583)Refutation found. Thanks to Tanya!
% 0.23/0.53 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.53 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.53 % (14583)------------------------------
% 0.23/0.53 % (14583)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.53 % (14583)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.53 % (14583)Termination reason: Refutation
% 0.23/0.53
% 0.23/0.53 % (14583)Memory used [KB]: 2046
% 0.23/0.53 % (14583)Time elapsed: 0.097 s
% 0.23/0.53 % (14583)------------------------------
% 0.23/0.53 % (14583)------------------------------
% 0.23/0.54 % (14567)Success in time 0.156 s
% 0.23/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------