TSTP Solution File: KRS178+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n019.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 17:31:01 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 12 ~; 6 |; 5 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 32 ( 24 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(resolution,[],[f94,f79]) ).
fof(f79,plain,
~ isa(sK20,sK20),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
~ isa(sK20,sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f27,f57]) ).
fof(f57,plain,
( ? [X0] : ~ isa(X0,X0)
=> ~ isa(sK20,sK20) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0] : ~ isa(X0,X0),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] : isa(X0,X0),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] : isa(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_reflexive) ).
fof(f94,plain,
! [X0] : isa(X0,X0),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f93,plain,
! [X0] :
( isa(X0,X0)
| isa(X0,X0) ),
inference(resolution,[],[f72,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ status(sK10(X0,X1),sK11(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( status(sK10(X0,X1),sK11(X0,X1),X1)
& ~ status(sK10(X0,X1),sK11(X0,X1),X0) )
| isa(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f45,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
=> ( status(sK10(X0,X1),sK11(X0,X1),X1)
& ~ status(sK10(X0,X1),sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
| isa(X1,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( isa(X0,X1)
<=> ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f72,plain,
! [X0,X1] :
( status(sK10(X0,X1),sK11(X0,X1),X1)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:38:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (12227)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (12219)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (12216)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (12213)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (12216)First to succeed.
% 0.19/0.50 % (12208)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (12211)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (12214)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (12223)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (12216)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (12216)------------------------------
% 0.19/0.51 % (12216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12216)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (12216)Memory used [KB]: 5500
% 0.19/0.51 % (12216)Time elapsed: 0.107 s
% 0.19/0.51 % (12216)Instructions burned: 2 (million)
% 0.19/0.51 % (12216)------------------------------
% 0.19/0.51 % (12216)------------------------------
% 0.19/0.51 % (12203)Success in time 0.164 s
%------------------------------------------------------------------------------