TSTP Solution File: FLD019-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD019-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Mon May 20 19:56:21 EDT 2024
% Result : Unsatisfiable 8.50s 1.58s
% Output : Refutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 39 ~; 38 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46535,plain,
$false,
inference(avatar_sat_refutation,[],[f26677,f46524]) ).
fof(f46524,plain,
spl0_1647,
inference(avatar_contradiction_clause,[],[f46523]) ).
fof(f46523,plain,
( $false
| spl0_1647 ),
inference(subsumption_resolution,[],[f46495,f15289]) ).
fof(f15289,plain,
( ~ equalish(additive_identity,a)
| spl0_1647 ),
inference(avatar_component_clause,[],[f15287]) ).
fof(f15287,plain,
( spl0_1647
<=> equalish(additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1647])]) ).
fof(f46495,plain,
equalish(additive_identity,a),
inference(resolution,[],[f25645,f933]) ).
fof(f933,plain,
! [X0] :
( ~ equalish(add(a,additive_inverse(a)),X0)
| equalish(additive_identity,X0) ),
inference(resolution,[],[f53,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f53,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(additive_identity,X1)
| ~ equalish(add(X0,additive_inverse(X0)),X1) ),
inference(resolution,[],[f23,f36]) ).
fof(f36,plain,
! [X0] :
( equalish(additive_identity,add(X0,additive_inverse(X0)))
| ~ defined(X0) ),
inference(resolution,[],[f3,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25645,plain,
equalish(add(a,additive_inverse(a)),a),
inference(subsumption_resolution,[],[f25644,f29]) ).
fof(f29,axiom,
equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_equals_additive_identity_2) ).
fof(f25644,plain,
( equalish(add(a,additive_inverse(a)),a)
| ~ equalish(additive_inverse(a),additive_identity) ),
inference(subsumption_resolution,[],[f25607,f28]) ).
fof(f25607,plain,
( equalish(add(a,additive_inverse(a)),a)
| ~ defined(a)
| ~ equalish(additive_inverse(a),additive_identity) ),
inference(resolution,[],[f1773,f1152]) ).
fof(f1152,plain,
! [X0] :
( equalish(add(X0,a),a)
| ~ equalish(X0,additive_identity) ),
inference(subsumption_resolution,[],[f1138,f28]) ).
fof(f1138,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| equalish(add(X0,a),a)
| ~ defined(a) ),
inference(resolution,[],[f463,f2]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f463,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,a),X2)
| ~ equalish(X0,X1)
| equalish(add(X0,a),X2) ),
inference(resolution,[],[f115,f28]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ defined(X2)
| ~ equalish(X0,X1)
| ~ equalish(add(X1,X2),X3)
| equalish(add(X0,X2),X3) ),
inference(resolution,[],[f24,f23]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f1773,plain,
! [X0,X1] :
( ~ equalish(add(additive_inverse(a),X0),X1)
| equalish(add(X0,additive_inverse(a)),X1)
| ~ defined(X0) ),
inference(resolution,[],[f386,f28]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ defined(X1)
| ~ equalish(add(additive_inverse(X1),X0),X2)
| equalish(add(X0,additive_inverse(X1)),X2)
| ~ defined(X0) ),
inference(resolution,[],[f97,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X1,X0),X2)
| equalish(add(X0,X1),X2) ),
inference(resolution,[],[f4,f23]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f26677,plain,
~ spl0_1647,
inference(avatar_contradiction_clause,[],[f26676]) ).
fof(f26676,plain,
( $false
| ~ spl0_1647 ),
inference(subsumption_resolution,[],[f26662,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f26662,plain,
( equalish(a,additive_identity)
| ~ spl0_1647 ),
inference(resolution,[],[f15288,f22]) ).
fof(f15288,plain,
( equalish(additive_identity,a)
| ~ spl0_1647 ),
inference(avatar_component_clause,[],[f15287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : FLD019-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 21:30:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (21567)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (21570)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 theBenchmark for (476ds/0Mi)
% 0.18/0.35 % (21571)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.35 % (21574)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.35 % (21569)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.35 % (21573)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.35 % (21572)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.35 % (21568)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [3]
% 0.18/0.35 TRYING [3]
% 0.18/0.35 TRYING [3]
% 0.18/0.35 TRYING [3]
% 0.18/0.36 TRYING [4]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [4]
% 0.18/0.39 TRYING [5]
% 0.18/0.40 TRYING [5]
% 0.18/0.40 TRYING [5]
% 0.18/0.41 TRYING [5]
% 0.18/0.48 TRYING [6]
% 0.18/0.49 TRYING [6]
% 0.18/0.49 TRYING [6]
% 0.18/0.51 TRYING [6]
% 2.22/0.69 TRYING [7]
% 2.65/0.70 TRYING [7]
% 2.65/0.70 TRYING [7]
% 3.08/0.80 TRYING [7]
% 5.28/1.13 TRYING [8]
% 5.98/1.18 TRYING [8]
% 5.98/1.19 TRYING [8]
% 8.50/1.53 TRYING [8]
% 8.50/1.57 % (21573)First to succeed.
% 8.50/1.58 % (21573)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21567"
% 8.50/1.58 % (21573)Refutation found. Thanks to Tanya!
% 8.50/1.58 % SZS status Unsatisfiable for theBenchmark
% 8.50/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 8.50/1.58 % (21573)------------------------------
% 8.50/1.58 % (21573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.50/1.58 % (21573)Termination reason: Refutation
% 8.50/1.58
% 8.50/1.58 % (21573)Memory used [KB]: 16429
% 8.50/1.58 % (21573)Time elapsed: 1.229 s
% 8.50/1.58 % (21573)Instructions burned: 2437 (million)
% 8.50/1.58 % (21567)Success in time 1.226 s
%------------------------------------------------------------------------------