TSTP Solution File: SYN366+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN366+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 : n016.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 19:26:24 EDT 2022
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 80 ( 24 ~; 14 |; 24 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 53 ( 40 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(unit_resulting_resolution,[],[f21,f11,f15]) ).
fof(f15,plain,
! [X0,X1] :
( big_r(X1,X1)
| ~ big_r(X1,X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ! [X0,X1] :
( ( big_r(X1,X0)
| ~ big_r(X1,X1) )
& ( big_r(X1,X1)
| ~ big_r(X1,X0) ) )
& big_r(sK0,sK0)
& ! [X3,X4] :
( ( big_r(X3,X4)
| ~ big_r(X4,X4) )
& ( big_r(X4,X4)
| ~ big_r(X3,X4) ) )
& ~ big_r(sK1,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).
fof(f8,plain,
( ? [X2] : big_r(X2,X2)
=> big_r(sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X5] : ~ big_r(X5,X5)
=> ~ big_r(sK1,sK1) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ! [X0,X1] :
( ( big_r(X1,X0)
| ~ big_r(X1,X1) )
& ( big_r(X1,X1)
| ~ big_r(X1,X0) ) )
& ? [X2] : big_r(X2,X2)
& ! [X3,X4] :
( ( big_r(X3,X4)
| ~ big_r(X4,X4) )
& ( big_r(X4,X4)
| ~ big_r(X3,X4) ) )
& ? [X5] : ~ big_r(X5,X5) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
( ! [X3,X2] :
( ( big_r(X2,X3)
| ~ big_r(X2,X2) )
& ( big_r(X2,X2)
| ~ big_r(X2,X3) ) )
& ? [X4] : big_r(X4,X4)
& ! [X0,X1] :
( ( big_r(X0,X1)
| ~ big_r(X1,X1) )
& ( big_r(X1,X1)
| ~ big_r(X0,X1) ) )
& ? [X5] : ~ big_r(X5,X5) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( ! [X3,X2] :
( big_r(X2,X3)
<=> big_r(X2,X2) )
& ? [X4] : big_r(X4,X4)
& ! [X0,X1] :
( big_r(X0,X1)
<=> big_r(X1,X1) )
& ? [X5] : ~ big_r(X5,X5) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X5] : ~ big_r(X5,X5)
& ? [X4] : big_r(X4,X4)
& ! [X3,X2] :
( big_r(X2,X3)
<=> big_r(X2,X2) )
& ! [X0,X1] :
( big_r(X0,X1)
<=> big_r(X1,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X3,X2] :
( big_r(X2,X3)
<=> big_r(X2,X2) )
& ! [X0,X1] :
( big_r(X0,X1)
<=> big_r(X1,X1) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X3,X2] :
( big_r(X2,X2)
<=> big_r(X3,X2) )
& ! [X0,X1] :
( big_r(X0,X1)
<=> big_r(X0,X0) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X3,X2] :
( big_r(X2,X2)
<=> big_r(X3,X2) )
& ! [X0,X1] :
( big_r(X0,X1)
<=> big_r(X0,X0) ) )
=> ( ? [X4] : big_r(X4,X4)
=> ! [X5] : big_r(X5,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2117) ).
fof(f11,plain,
~ big_r(sK1,sK1),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X0] : big_r(X0,sK0),
inference(unit_resulting_resolution,[],[f14,f13]) ).
fof(f13,plain,
! [X3,X4] :
( big_r(X3,X4)
| ~ big_r(X4,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
big_r(sK0,sK0),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN366+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 30 22:11:01 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.45 % (30843)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.45 % (30836)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.46 % (30844)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.47 % (30835)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.47 % (30852)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.47 % (30836)First to succeed.
% 0.16/0.48 % (30836)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (30836)------------------------------
% 0.16/0.48 % (30836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (30836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (30836)Termination reason: Refutation
% 0.16/0.48
% 0.16/0.48 % (30836)Memory used [KB]: 5884
% 0.16/0.48 % (30836)Time elapsed: 0.105 s
% 0.16/0.48 % (30836)Instructions burned: 1 (million)
% 0.16/0.48 % (30836)------------------------------
% 0.16/0.48 % (30836)------------------------------
% 0.16/0.48 % (30828)Success in time 0.16 s
%------------------------------------------------------------------------------