TSTP Solution File: SYN732+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n004.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 19:39:24 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 35 ( 13 ~; 5 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 35 ( 23 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,plain,
$false,
inference(subsumption_resolution,[],[f9,f10]) ).
fof(f10,plain,
! [X0,X1] : ~ p(X0,X1),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X0] :
( ! [X1] :
( ~ q(X1,X0)
& ~ p(X0,X1) )
& p(sK0(X0),X0) )
& ! [X3] :
( ! [X4] : q(X4,X3)
| ~ p(sK1(X3),X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f6,f5]) ).
fof(f5,plain,
! [X0] :
( ? [X2] : p(X2,X0)
=> p(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X3] :
( ? [X5] : ~ p(X5,X3)
=> ~ p(sK1(X3),X3) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
( ! [X0] :
( ! [X1] :
( ~ q(X1,X0)
& ~ p(X0,X1) )
& ? [X2] : p(X2,X0) )
& ! [X3] :
( ! [X4] : q(X4,X3)
| ? [X5] : ~ p(X5,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,plain,
( ! [X3] :
( ! [X5] :
( ~ q(X5,X3)
& ~ p(X3,X5) )
& ? [X4] : p(X4,X3) )
& ! [X0] :
( ! [X2] : q(X2,X0)
| ? [X1] : ~ p(X1,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ! [X1] : p(X1,X0)
=> ! [X2] : q(X2,X0) )
=> ? [X3] :
( ? [X4] : p(X4,X3)
=> ? [X5] :
( p(X3,X5)
| q(X5,X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( ! [X1] : p(X1,X0)
=> ! [X2] : q(X2,X0) )
=> ? [X3] :
( ? [X4] : p(X4,X3)
=> ? [X5] :
( p(X3,X5)
| q(X5,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x3411) ).
fof(f9,plain,
! [X0] : p(sK0(X0),X0),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n004.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 22:15:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (22687)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.52 % (22679)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52 % (22687)First to succeed.
% 0.19/0.52 % (22671)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.52 % (22671)Also succeeded, but the first one will report.
% 0.19/0.52 % (22672)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53 % (22695)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (22687)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (22687)------------------------------
% 0.19/0.53 % (22687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22687)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (22687)Memory used [KB]: 5373
% 0.19/0.53 % (22687)Time elapsed: 0.003 s
% 0.19/0.53 % (22687)Instructions burned: 1 (million)
% 0.19/0.53 % (22687)------------------------------
% 0.19/0.53 % (22687)------------------------------
% 0.19/0.53 % (22665)Success in time 0.179 s
%------------------------------------------------------------------------------