TSTP Solution File: SYN380+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n012.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 19:26:26 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 : 19 ( 4 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 18 ~; 10 |; 6 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[f15,f18,f20]) ).
fof(f20,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f19]) ).
fof(f19,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f14,f8]) ).
fof(f8,plain,
! [X0] : ~ big_r(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
( ! [X0] : ~ big_r(X0,X0)
& ! [X1,X2] :
( big_r(X1,X2)
| ( ~ big_q(sK0,sK0)
& big_q(X2,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).
fof(f4,plain,
( ? [X3] : ~ big_q(X3,X3)
=> ~ big_q(sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
( ! [X0] : ~ big_r(X0,X0)
& ! [X1,X2] :
( big_r(X1,X2)
| ( ? [X3] : ~ big_q(X3,X3)
& big_q(X2,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : ~ big_r(X0,X0)
=> ? [X2,X1] :
( ( big_q(X2,X1)
=> ! [X3] : big_q(X3,X3) )
& ~ big_r(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] : ~ big_r(X0,X0)
=> ? [X2,X1] :
( ( big_q(X2,X1)
=> ! [X3] : big_q(X3,X3) )
& ~ big_r(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2132) ).
fof(f14,plain,
( ! [X2,X1] : big_r(X1,X2)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl1_2
<=> ! [X2,X1] : big_r(X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f18,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f17]) ).
fof(f17,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f16,f8]) ).
fof(f16,plain,
( big_r(sK0,sK0)
| spl1_1 ),
inference(resolution,[],[f11,f6]) ).
fof(f6,plain,
! [X2,X1] :
( big_q(X2,X1)
| big_r(X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
( ~ big_q(sK0,sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f10,plain,
( spl1_1
<=> big_q(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f15,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f7,f13,f10]) ).
fof(f7,plain,
! [X2,X1] :
( big_r(X1,X2)
| ~ big_q(sK0,sK0) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.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 21:48:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (15156)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (15141)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (15141)First to succeed.
% 0.19/0.50 % (15164)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.50 % (15148)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 Detected maximum model sizes of [1]
% 0.19/0.50 TRYING [1]
% 0.19/0.51 % (15158)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51 % (15142)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (15149)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51 % (15142)Also succeeded, but the first one will report.
% 0.19/0.51 % (15141)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 % (15141)------------------------------
% 0.19/0.51 % (15141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (15141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (15141)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (15141)Memory used [KB]: 5884
% 0.19/0.51 % (15141)Time elapsed: 0.096 s
% 0.19/0.51 % (15141)Instructions burned: 1 (million)
% 0.19/0.51 % (15141)------------------------------
% 0.19/0.51 % (15141)------------------------------
% 0.19/0.51 % (15138)Success in time 0.164 s
%------------------------------------------------------------------------------