TSTP Solution File: FLD067-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD067-2 : 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 : n023.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 14:28:14 EDT 2023
% Result : Unsatisfiable 31.69s 4.95s
% Output : Refutation 31.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 20 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f466160,plain,
$false,
inference(subsumption_resolution,[],[f466109,f33]) ).
fof(f33,axiom,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',not_less_or_equal_6) ).
fof(f466109,plain,
less_or_equal(additive_identity,u),
inference(resolution,[],[f7675,f13813]) ).
fof(f13813,plain,
equalish(u,additive_identity),
inference(resolution,[],[f13797,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',symmetry_of_equality) ).
fof(f13797,plain,
equalish(additive_identity,u),
inference(resolution,[],[f13789,f1713]) ).
fof(f1713,plain,
! [X14] :
( ~ equalish(X14,add(b,additive_inverse(a)))
| equalish(X14,u) ),
inference(resolution,[],[f23,f32]) ).
fof(f32,axiom,
equalish(add(b,additive_inverse(a)),u),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',add_equals_u_5) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',transitivity_of_equality) ).
fof(f13789,plain,
equalish(additive_identity,add(b,additive_inverse(a))),
inference(resolution,[],[f13782,f22]) ).
fof(f13782,plain,
equalish(add(b,additive_inverse(a)),additive_identity),
inference(subsumption_resolution,[],[f13781,f7678]) ).
fof(f7678,plain,
less_or_equal(add(b,additive_inverse(a)),additive_identity),
inference(resolution,[],[f7671,f64]) ).
fof(f64,plain,
equalish(u,add(b,additive_inverse(a))),
inference(resolution,[],[f22,f32]) ).
fof(f7671,plain,
! [X1] :
( ~ equalish(u,X1)
| less_or_equal(X1,additive_identity) ),
inference(resolution,[],[f7667,f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| ~ equalish(X0,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',compatibility_of_equality_and_order_relation) ).
fof(f7667,plain,
less_or_equal(u,additive_identity),
inference(subsumption_resolution,[],[f7533,f33]) ).
fof(f7533,plain,
( less_or_equal(u,additive_identity)
| less_or_equal(additive_identity,u) ),
inference(resolution,[],[f2152,f11]) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',well_definedness_of_additive_identity) ).
fof(f2152,plain,
! [X119] :
( ~ defined(X119)
| less_or_equal(u,X119)
| less_or_equal(X119,u) ),
inference(resolution,[],[f18,f30]) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',u_is_defined) ).
fof(f18,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',totality_of_order_relation) ).
fof(f13781,plain,
( ~ less_or_equal(add(b,additive_inverse(a)),additive_identity)
| equalish(add(b,additive_inverse(a)),additive_identity) ),
inference(resolution,[],[f13772,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,X1)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',antisymmetry_of_order_relation) ).
fof(f13772,plain,
less_or_equal(additive_identity,add(b,additive_inverse(a))),
inference(resolution,[],[f4690,f187]) ).
fof(f187,plain,
equalish(add(a,additive_inverse(a)),additive_identity),
inference(resolution,[],[f3,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',a_is_defined) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',existence_of_inverse_addition) ).
fof(f4690,plain,
! [X1] :
( ~ equalish(add(a,additive_inverse(a)),X1)
| less_or_equal(X1,add(b,additive_inverse(a))) ),
inference(resolution,[],[f4598,f26]) ).
fof(f4598,plain,
less_or_equal(add(a,additive_inverse(a)),add(b,additive_inverse(a))),
inference(resolution,[],[f4460,f36]) ).
fof(f36,plain,
defined(additive_inverse(a)),
inference(resolution,[],[f12,f28]) ).
fof(f12,axiom,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',well_definedness_of_additive_inverse) ).
fof(f4460,plain,
! [X10] :
( ~ defined(X10)
| less_or_equal(add(a,X10),add(b,X10)) ),
inference(resolution,[],[f19,f31]) ).
fof(f31,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',less_or_equal_4) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.vcjD6kQMMr/Vampire---4.8_24222',compatibility_of_order_relation_and_addition) ).
fof(f7675,plain,
! [X1] :
( ~ equalish(u,X1)
| less_or_equal(X1,u) ),
inference(resolution,[],[f7666,f26]) ).
fof(f7666,plain,
less_or_equal(u,u),
inference(duplicate_literal_removal,[],[f7665]) ).
fof(f7665,plain,
( less_or_equal(u,u)
| less_or_equal(u,u) ),
inference(resolution,[],[f2152,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : FLD067-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Aug 30 17:08:39 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % (24328)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.39 % (24331)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)
% 0.12/0.39 % (24332)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.12/0.39 % (24334)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.12/0.39 TRYING [1]
% 0.12/0.39 % (24333)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.12/0.39 TRYING [2]
% 0.12/0.39 % (24329)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.12/0.39 % (24330)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.12/0.39 % (24335)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)
% 0.12/0.39 TRYING [3]
% 0.12/0.39 TRYING [1]
% 0.12/0.39 TRYING [1]
% 0.12/0.39 TRYING [2]
% 0.12/0.39 TRYING [2]
% 0.12/0.39 TRYING [1]
% 0.12/0.39 TRYING [2]
% 0.12/0.39 TRYING [3]
% 0.12/0.39 TRYING [3]
% 0.12/0.39 TRYING [3]
% 0.12/0.40 TRYING [4]
% 0.18/0.41 TRYING [4]
% 0.18/0.41 TRYING [4]
% 0.18/0.41 TRYING [4]
% 0.18/0.42 TRYING [5]
% 0.18/0.44 TRYING [5]
% 0.18/0.44 TRYING [5]
% 0.18/0.46 TRYING [5]
% 0.18/0.48 TRYING [6]
% 0.18/0.55 TRYING [6]
% 0.18/0.55 TRYING [6]
% 0.18/0.59 TRYING [6]
% 2.87/0.82 TRYING [7]
% 3.52/0.87 TRYING [7]
% 3.52/0.89 TRYING [7]
% 3.95/0.96 TRYING [7]
% 11.29/2.05 TRYING [8]
% 11.89/2.08 TRYING [8]
% 12.42/2.15 TRYING [8]
% 17.20/2.84 TRYING [8]
% 31.69/4.94 % (24333)First to succeed.
% 31.69/4.95 % (24333)Refutation found. Thanks to Tanya!
% 31.69/4.95 % SZS status Unsatisfiable for Vampire---4
% 31.69/4.95 % SZS output start Proof for Vampire---4
% See solution above
% 31.69/4.95 % (24333)------------------------------
% 31.69/4.95 % (24333)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 31.69/4.95 % (24333)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 31.69/4.95 % (24333)Termination reason: Refutation
% 31.69/4.95
% 31.69/4.95 % (24333)Memory used [KB]: 144688
% 31.69/4.95 % (24333)Time elapsed: 4.555 s
% 31.69/4.95 % (24333)------------------------------
% 31.69/4.95 % (24333)------------------------------
% 31.69/4.95 % (24328)Success in time 4.576 s
% 31.69/4.95 % Vampire---4.8 exiting
%------------------------------------------------------------------------------