TSTP Solution File: SYN327+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN327+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 : 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 19:26:13 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 96 ( 37 ~; 17 |; 32 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 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; 0-1 aty)
% Number of variables : 22 ( 12 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,plain,
$false,
inference(subsumption_resolution,[],[f17,f14]) ).
fof(f14,plain,
! [X1] : big_f(X1,sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X1] :
( big_f(X1,sK0)
& ( ( ~ big_f(sK0,sK1(X1))
& big_f(sK0,X1)
& ( ~ big_f(X1,sK0)
| ~ big_f(sK1(X1),X1) ) )
| ( big_f(sK0,sK1(X1))
& ~ big_f(sK0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f6,f5]) ).
fof(f5,plain,
( ? [X0] :
! [X1] :
? [X2] :
( big_f(X1,X0)
& ( ( ~ big_f(X0,X2)
& big_f(X0,X1)
& ( ~ big_f(X1,X0)
| ~ big_f(X2,X1) ) )
| ( big_f(X0,X2)
& ~ big_f(X0,X1) ) ) )
=> ! [X1] :
? [X2] :
( big_f(X1,sK0)
& ( ( ~ big_f(sK0,X2)
& big_f(sK0,X1)
& ( ~ big_f(X1,sK0)
| ~ big_f(X2,X1) ) )
| ( big_f(sK0,X2)
& ~ big_f(sK0,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X1] :
( ? [X2] :
( big_f(X1,sK0)
& ( ( ~ big_f(sK0,X2)
& big_f(sK0,X1)
& ( ~ big_f(X1,sK0)
| ~ big_f(X2,X1) ) )
| ( big_f(sK0,X2)
& ~ big_f(sK0,X1) ) ) )
=> ( big_f(X1,sK0)
& ( ( ~ big_f(sK0,sK1(X1))
& big_f(sK0,X1)
& ( ~ big_f(X1,sK0)
| ~ big_f(sK1(X1),X1) ) )
| ( big_f(sK0,sK1(X1))
& ~ big_f(sK0,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0] :
! [X1] :
? [X2] :
( big_f(X1,X0)
& ( ( ~ big_f(X0,X2)
& big_f(X0,X1)
& ( ~ big_f(X1,X0)
| ~ big_f(X2,X1) ) )
| ( big_f(X0,X2)
& ~ big_f(X0,X1) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
? [X0] :
! [X1] :
? [X2] :
( ( ( big_f(X0,X2)
& ~ big_f(X0,X1) )
| ( ( ~ big_f(X1,X0)
| ~ big_f(X2,X1) )
& ~ big_f(X0,X2)
& big_f(X0,X1) ) )
& big_f(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X1] :
! [X2] :
( big_f(X1,X0)
=> ( ( big_f(X0,X2)
=> big_f(X0,X1) )
& ( big_f(X0,X1)
=> ( ~ big_f(X0,X2)
=> ( big_f(X2,X1)
& big_f(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
? [X1] :
! [X2] :
( big_f(X1,X0)
=> ( ( big_f(X0,X2)
=> big_f(X0,X1) )
& ( big_f(X0,X1)
=> ( ~ big_f(X0,X2)
=> ( big_f(X2,X1)
& big_f(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_2) ).
fof(f17,plain,
~ big_f(sK0,sK0),
inference(duplicate_literal_removal,[],[f16]) ).
fof(f16,plain,
( ~ big_f(sK0,sK0)
| ~ big_f(sK0,sK0) ),
inference(resolution,[],[f8,f14]) ).
fof(f8,plain,
! [X1] :
( ~ big_f(sK1(X1),X1)
| ~ big_f(sK0,X1)
| ~ big_f(X1,sK0) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 21:39:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (346)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)
% 0.19/0.44 % (338)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)
% 0.19/0.44 % (346)First to succeed.
% 0.19/0.45 % (346)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45 % (346)------------------------------
% 0.19/0.45 % (346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (346)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (346)Memory used [KB]: 5884
% 0.19/0.45 % (346)Time elapsed: 0.059 s
% 0.19/0.45 % (346)Instructions burned: 1 (million)
% 0.19/0.45 % (346)------------------------------
% 0.19/0.45 % (346)------------------------------
% 0.19/0.45 % (330)Success in time 0.102 s
%------------------------------------------------------------------------------