TSTP Solution File: SYN957+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN957+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n028.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 19:36:12 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 2 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 34 ( 16 ~; 10 |; 4 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,plain,
$false,
inference(subsumption_resolution,[],[f9,f8]) ).
fof(f8,plain,
! [X1] :
( ~ a(X1,sK0)
| ~ a(X1,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1] :
( ( ~ a(X1,X1)
| ~ a(X1,sK0) )
& ( a(X1,sK0)
| a(X1,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f5,plain,
( ? [X0] :
! [X1] :
( ( ~ a(X1,X1)
| ~ a(X1,X0) )
& ( a(X1,X0)
| a(X1,X1) ) )
=> ! [X1] :
( ( ~ a(X1,X1)
| ~ a(X1,sK0) )
& ( a(X1,sK0)
| a(X1,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0] :
! [X1] :
( ( ~ a(X1,X1)
| ~ a(X1,X0) )
& ( a(X1,X0)
| a(X1,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
? [X0] :
! [X1] :
( ~ a(X1,X1)
<=> a(X1,X0) ),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
! [X1] :
( ~ a(X1,X1)
<=> a(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
! [X1] :
( ~ a(X1,X1)
<=> a(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f9,plain,
a(sK0,sK0),
inference(factoring,[],[f7]) ).
fof(f7,plain,
! [X1] :
( a(X1,X1)
| a(X1,sK0) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN957+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % 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 : n028.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 22:41:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (16677)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 % (16675)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)
% 0.19/0.50 % (16692)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (16684)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (16677)First to succeed.
% 0.19/0.51 % (16677)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 % (16677)------------------------------
% 0.19/0.51 % (16677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16677)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (16677)Memory used [KB]: 5884
% 0.19/0.51 % (16677)Time elapsed: 0.103 s
% 0.19/0.51 % (16677)Instructions burned: 1 (million)
% 0.19/0.51 % (16677)------------------------------
% 0.19/0.51 % (16677)------------------------------
% 0.19/0.51 % (16667)Success in time 0.158 s
%------------------------------------------------------------------------------