TSTP Solution File: KLE003+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE003+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 17:28:42 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 55 ( 33 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 23 ~; 19 |; 3 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 11 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f56,f59,f61]) ).
fof(f61,plain,
( spl1_2
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| spl1_2
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f50,f54]) ).
fof(f54,plain,
( ! [X1] : addition(X1,X1) = X1
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl1_3
<=> ! [X1] : addition(X1,X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f50,plain,
( one != addition(one,one)
| spl1_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl1_2
<=> one = addition(one,one) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f59,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f58,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f57]) ).
fof(f57,plain,
( sK0 != sK0
| spl1_1
| ~ spl1_3 ),
inference(superposition,[],[f46,f54]) ).
fof(f46,plain,
( addition(sK0,sK0) != sK0
| spl1_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl1_1
<=> addition(sK0,sK0) = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f56,plain,
spl1_3,
inference(avatar_split_clause,[],[f37,f53]) ).
fof(f37,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f51,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f31,f48,f44]) ).
fof(f31,plain,
( one != addition(one,one)
| addition(sK0,sK0) != sK0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( addition(sK0,sK0) != sK0
| one != addition(one,one) )
& ( ! [X1] : addition(X1,X1) = X1
| one = addition(one,one) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f24,plain,
( ? [X0] : addition(X0,X0) != X0
=> addition(sK0,sK0) != sK0 ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ( ? [X0] : addition(X0,X0) != X0
| one != addition(one,one) )
& ( ! [X1] : addition(X1,X1) = X1
| one = addition(one,one) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
( ( ? [X0] : addition(X0,X0) != X0
| one != addition(one,one) )
& ( ! [X0] : addition(X0,X0) = X0
| one = addition(one,one) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( one = addition(one,one)
<~> ! [X0] : addition(X0,X0) = X0 ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ( ! [X0] : addition(X0,X0) = X0
<=> one = addition(one,one) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ( one = addition(one,one)
<=> ! [X3] : addition(X3,X3) = X3 ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
( one = addition(one,one)
<=> ! [X3] : addition(X3,X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.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 : Tue Aug 30 00:22:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (27154)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51 % (27147)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (27134)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (27156)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (27154)First to succeed.
% 0.20/0.51 % (27154)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (27154)------------------------------
% 0.20/0.51 % (27154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (27154)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (27154)Memory used [KB]: 5373
% 0.20/0.51 % (27154)Time elapsed: 0.103 s
% 0.20/0.51 % (27154)Instructions burned: 2 (million)
% 0.20/0.51 % (27154)------------------------------
% 0.20/0.51 % (27154)------------------------------
% 0.20/0.51 % (27132)Success in time 0.158 s
%------------------------------------------------------------------------------