TSTP Solution File: SYN336+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN336+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_sat --cores 0 -t %d %s
% Computer : n001.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 19:37:34 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 57 ( 11 ~; 0 |; 32 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 39 ( 23 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(resolution,[],[f10,f12]) ).
fof(f12,plain,
! [X1] : big_f(X1,sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X2] :
( big_f(X1,sK1(X1,X2))
& big_f(sK0,sK1(X1,X2))
& big_f(X1,sK0)
& big_f(X2,sK1(X1,X2))
& ~ big_f(sK1(X1,X2),X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1,X2] :
? [X3] :
( big_f(X1,X3)
& big_f(X0,X3)
& big_f(X1,X0)
& big_f(X2,X3)
& ~ big_f(X3,X2) )
=> ! [X2,X1] :
? [X3] :
( big_f(X1,X3)
& big_f(sK0,X3)
& big_f(X1,sK0)
& big_f(X2,X3)
& ~ big_f(X3,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X1,X2] :
( ? [X3] :
( big_f(X1,X3)
& big_f(sK0,X3)
& big_f(X1,sK0)
& big_f(X2,X3)
& ~ big_f(X3,X2) )
=> ( big_f(X1,sK1(X1,X2))
& big_f(sK0,sK1(X1,X2))
& big_f(X1,sK0)
& big_f(X2,sK1(X1,X2))
& ~ big_f(sK1(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
! [X1,X2] :
? [X3] :
( big_f(X1,X3)
& big_f(X0,X3)
& big_f(X1,X0)
& big_f(X2,X3)
& ~ big_f(X3,X2) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X0] :
! [X2,X1] :
? [X3] :
( big_f(X2,X3)
& big_f(X0,X3)
& big_f(X2,X0)
& big_f(X1,X3)
& ~ big_f(X3,X1) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X0] :
! [X1,X2] :
? [X3] :
( ~ big_f(X3,X1)
& big_f(X2,X0)
& big_f(X1,X3)
& big_f(X2,X3)
& big_f(X0,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0] :
? [X1,X2] :
! [X3] :
( big_f(X0,X3)
=> ( big_f(X2,X3)
=> ( big_f(X1,X3)
=> ( big_f(X2,X0)
=> big_f(X3,X1) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X2,X1] :
! [X3] :
( big_f(X0,X3)
=> ( big_f(X1,X3)
=> ( big_f(X2,X3)
=> ( big_f(X1,X0)
=> big_f(X3,X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
? [X2,X1] :
! [X3] :
( big_f(X0,X3)
=> ( big_f(X1,X3)
=> ( big_f(X2,X3)
=> ( big_f(X1,X0)
=> big_f(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_1) ).
fof(f10,plain,
! [X2,X1] : ~ big_f(sK1(X1,X2),X2),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN336+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 22:06:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.55 % (15788)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 (3000ds/176Mi)
% 0.21/0.56 % (15780)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.56 % (15784)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.56 % (15796)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.57 % (15796)First to succeed.
% 0.21/0.57 % (15792)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.21/0.57 % (15796)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (15796)------------------------------
% 0.21/0.57 % (15796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (15796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (15796)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (15796)Memory used [KB]: 5373
% 0.21/0.57 % (15796)Time elapsed: 0.148 s
% 0.21/0.57 % (15796)Instructions burned: 2 (million)
% 0.21/0.57 % (15796)------------------------------
% 0.21/0.57 % (15796)------------------------------
% 0.21/0.57 % (15767)Success in time 0.218 s
%------------------------------------------------------------------------------