TSTP Solution File: FLD006-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD006-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 31 16:05:22 EDT 2022
% Result : Unsatisfiable 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f79]) ).
fof(f79,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f77,f28]) ).
fof(f28,axiom,
~ equalish(additive_inverse(additive_identity),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_not_equal_to_additive_identity_1) ).
fof(f77,plain,
( equalish(additive_inverse(additive_identity),additive_identity)
| ~ spl0_1 ),
inference(resolution,[],[f75,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f75,plain,
( equalish(additive_identity,additive_inverse(additive_identity))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f74,f36]) ).
fof(f36,plain,
( defined(additive_inverse(additive_identity))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_1
<=> defined(additive_inverse(additive_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f74,plain,
( equalish(additive_identity,additive_inverse(additive_identity))
| ~ defined(additive_inverse(additive_identity)) ),
inference(subsumption_resolution,[],[f69,f11]) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f69,plain,
( ~ defined(additive_identity)
| ~ defined(additive_inverse(additive_identity))
| equalish(additive_identity,additive_inverse(additive_identity)) ),
inference(resolution,[],[f44,f31]) ).
fof(f31,plain,
! [X0] :
( equalish(additive_identity,add(X0,additive_inverse(X0)))
| ~ defined(X0) ),
inference(resolution,[],[f3,f22]) ).
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(f44,plain,
! [X2,X3] :
( ~ equalish(X2,add(additive_identity,X3))
| equalish(X2,X3)
| ~ defined(X3) ),
inference(resolution,[],[f23,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(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| equalish(X0,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f51,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f49,f11]) ).
fof(f49,plain,
( ~ defined(additive_identity)
| spl0_1 ),
inference(resolution,[],[f37,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f37,plain,
( ~ defined(additive_inverse(additive_identity))
| spl0_1 ),
inference(avatar_component_clause,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD006-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.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 : Mon Aug 29 20:43:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (20867)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (20859)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.56 % (20867)Refutation not found, incomplete strategy% (20867)------------------------------
% 0.20/0.56 % (20867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20867)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (20867)Memory used [KB]: 5884
% 0.20/0.57 % (20867)Time elapsed: 0.136 s
% 0.20/0.57 % (20867)Instructions burned: 2 (million)
% 0.20/0.57 % (20867)------------------------------
% 0.20/0.57 % (20867)------------------------------
% 0.20/0.57 % (20861)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.57 % (20858)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.58 % (20868)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.58 % (20861)First to succeed.
% 0.20/0.58 % (20861)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (20861)------------------------------
% 0.20/0.58 % (20861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (20861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (20861)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (20861)Memory used [KB]: 5884
% 0.20/0.58 % (20861)Time elapsed: 0.147 s
% 0.20/0.58 % (20861)Instructions burned: 2 (million)
% 0.20/0.58 % (20861)------------------------------
% 0.20/0.58 % (20861)------------------------------
% 0.20/0.58 % (20857)Success in time 0.221 s
%------------------------------------------------------------------------------