TSTP Solution File: SYN328+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN328+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 : n012.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 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 2
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 236 ( 0 equ)
% Maximal formula atoms : 46 ( 6 avg)
% Number of connectives : 298 ( 98 ~; 99 |; 64 &)
% ( 15 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 51 ( 38 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(subsumption_resolution,[],[f127,f108]) ).
fof(f108,plain,
! [X0] : big_g(X0),
inference(subsumption_resolution,[],[f104,f99]) ).
fof(f99,plain,
! [X0] :
( ~ big_g(sK1(X0))
| big_g(X0) ),
inference(subsumption_resolution,[],[f97,f11]) ).
fof(f11,plain,
! [X0] :
( ~ big_h(sK1(X0))
| big_g(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ( big_g(sK1(X0))
| ~ big_f(sK1(X0))
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(sK1(X0))
& big_f(sK1(X0)) ) )
& ( big_h(sK1(X0))
| ( ~ big_g(sK1(X0))
& big_f(sK1(X0)) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(sK1(X0))
& ( big_g(sK1(X0))
| ~ big_f(sK1(X0)) ) ) )
& ( ~ big_f(sK1(X0))
| big_h(sK1(X0))
| ~ big_g(X0) )
& ( big_g(X0)
| ( big_f(sK1(X0))
& ~ big_h(sK1(X0)) ) )
& ( ~ big_g(sK0(X0))
| ~ big_h(sK0(X0))
| ~ big_f(sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
fof(f8,plain,
! [X0] :
( ? [X1,X2] :
( ( big_g(X2)
| ~ big_f(X2)
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(X2)
& big_f(X2) ) )
& ( big_h(X2)
| ( ~ big_g(X2)
& big_f(X2) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(X2)
& ( big_g(X2)
| ~ big_f(X2) ) ) )
& ( ~ big_f(X2)
| big_h(X2)
| ~ big_g(X0) )
& ( big_g(X0)
| ( big_f(X2)
& ~ big_h(X2) ) )
& ( ~ big_g(X1)
| ~ big_h(X1)
| ~ big_f(X1) ) )
=> ( ( big_g(sK1(X0))
| ~ big_f(sK1(X0))
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(sK1(X0))
& big_f(sK1(X0)) ) )
& ( big_h(sK1(X0))
| ( ~ big_g(sK1(X0))
& big_f(sK1(X0)) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(sK1(X0))
& ( big_g(sK1(X0))
| ~ big_f(sK1(X0)) ) ) )
& ( ~ big_f(sK1(X0))
| big_h(sK1(X0))
| ~ big_g(X0) )
& ( big_g(X0)
| ( big_f(sK1(X0))
& ~ big_h(sK1(X0)) ) )
& ( ~ big_g(sK0(X0))
| ~ big_h(sK0(X0))
| ~ big_f(sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X0] :
? [X1,X2] :
( ( big_g(X2)
| ~ big_f(X2)
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(X2)
& big_f(X2) ) )
& ( big_h(X2)
| ( ~ big_g(X2)
& big_f(X2) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(X2)
& ( big_g(X2)
| ~ big_f(X2) ) ) )
& ( ~ big_f(X2)
| big_h(X2)
| ~ big_g(X0) )
& ( big_g(X0)
| ( big_f(X2)
& ~ big_h(X2) ) )
& ( ~ big_g(X1)
| ~ big_h(X1)
| ~ big_f(X1) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
! [X0] :
? [X1,X2] :
( ( big_g(X2)
| ~ big_f(X2)
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(X2)
& big_f(X2) ) )
& ( big_h(X2)
| ( ~ big_g(X2)
& big_f(X2) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(X2)
& ( big_g(X2)
| ~ big_f(X2) ) ) )
& ( ~ big_f(X2)
| big_h(X2)
| ~ big_g(X0) )
& ( big_g(X0)
| ( big_f(X2)
& ~ big_h(X2) ) )
& ( ~ big_g(X1)
| ~ big_h(X1)
| ~ big_f(X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0] :
? [X1,X2] :
( ( ( big_g(X2)
| ~ big_f(X2) )
<=> big_f(X0) )
& ( ( big_h(X2)
| ( ~ big_g(X2)
& big_f(X2) ) )
<=> big_h(X0) )
& ( ( ~ big_f(X2)
| big_h(X2) )
<=> big_g(X0) )
& ( ~ big_g(X1)
| ~ big_h(X1)
| ~ big_f(X1) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
! [X0] :
? [X2,X1] :
( ( ~ big_g(X1)
| ~ big_h(X1)
| ~ big_f(X1) )
& ( ( big_h(X2)
| ( ~ big_g(X2)
& big_f(X2) ) )
<=> big_h(X0) )
& ( ( ~ big_f(X2)
| big_h(X2) )
<=> big_g(X0) )
& ( ( big_g(X2)
| ~ big_f(X2) )
<=> big_f(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ? [X0] :
! [X2,X1] :
( ( ( big_f(X2)
=> big_g(X2) )
<=> big_f(X0) )
=> ( ( ( big_f(X2)
=> big_h(X2) )
<=> big_g(X0) )
=> ( ( ( ( big_f(X2)
=> big_g(X2) )
=> big_h(X2) )
<=> big_h(X0) )
=> ( big_f(X1)
& big_h(X1)
& big_g(X1) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X2,X1] :
( ( big_f(X0)
<=> ( big_f(X1)
=> big_g(X1) ) )
=> ( ( ( big_f(X1)
=> big_h(X1) )
<=> big_g(X0) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_g(X2)
& big_h(X2)
& big_f(X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
! [X2,X1] :
( ( big_f(X0)
<=> ( big_f(X1)
=> big_g(X1) ) )
=> ( ( ( big_f(X1)
=> big_h(X1) )
<=> big_g(X0) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_g(X2)
& big_h(X2)
& big_f(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
fof(f97,plain,
! [X0] :
( big_g(X0)
| ~ big_g(sK1(X0))
| big_h(sK1(X0)) ),
inference(resolution,[],[f38,f15]) ).
fof(f15,plain,
! [X0] :
( ~ big_h(sK1(X0))
| big_h(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
! [X2] :
( big_h(sK1(sK1(X2)))
| ~ big_g(sK1(X2))
| big_g(X2) ),
inference(resolution,[],[f31,f13]) ).
fof(f13,plain,
! [X0] :
( ~ big_f(sK1(X0))
| ~ big_g(X0)
| big_h(sK1(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X1] :
( big_f(sK1(sK1(X1)))
| big_g(X1) ),
inference(resolution,[],[f28,f11]) ).
fof(f28,plain,
! [X0] :
( big_h(X0)
| big_f(sK1(X0)) ),
inference(resolution,[],[f25,f15]) ).
fof(f25,plain,
! [X0] :
( big_h(X0)
| big_f(X0) ),
inference(subsumption_resolution,[],[f23,f19]) ).
fof(f19,plain,
! [X0] :
( ~ big_g(sK1(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X0] :
( big_h(X0)
| big_g(sK1(X0))
| big_f(X0) ),
inference(resolution,[],[f14,f18]) ).
fof(f18,plain,
! [X0] :
( big_f(sK1(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0] :
( ~ big_f(sK1(X0))
| big_g(sK1(X0))
| big_h(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f104,plain,
! [X0] :
( big_g(sK1(X0))
| big_g(X0) ),
inference(resolution,[],[f99,f39]) ).
fof(f39,plain,
! [X0] :
( big_g(sK1(sK1(X0)))
| big_g(X0) ),
inference(subsumption_resolution,[],[f36,f12]) ).
fof(f12,plain,
! [X0] :
( big_f(sK1(X0))
| big_g(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] :
( big_g(X0)
| ~ big_f(sK1(X0))
| big_g(sK1(sK1(X0))) ),
inference(resolution,[],[f31,f20]) ).
fof(f20,plain,
! [X0] :
( ~ big_f(sK1(X0))
| ~ big_f(X0)
| big_g(sK1(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
! [X2] : ~ big_g(sK0(X2)),
inference(subsumption_resolution,[],[f126,f114]) ).
fof(f114,plain,
! [X2] : big_f(X2),
inference(resolution,[],[f108,f19]) ).
fof(f126,plain,
! [X2] :
( ~ big_f(sK0(X2))
| ~ big_g(sK0(X2)) ),
inference(resolution,[],[f122,f10]) ).
fof(f10,plain,
! [X0] :
( ~ big_h(sK0(X0))
| ~ big_f(sK0(X0))
| ~ big_g(sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
! [X0] : big_h(X0),
inference(resolution,[],[f121,f15]) ).
fof(f121,plain,
! [X2] : big_h(sK1(X2)),
inference(subsumption_resolution,[],[f118,f108]) ).
fof(f118,plain,
! [X2] :
( big_h(sK1(X2))
| ~ big_g(X2) ),
inference(resolution,[],[f114,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:42:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (9087)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)
% 0.19/0.49 % (9087)First to succeed.
% 0.19/0.50 % (9075)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (9095)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)
% 0.19/0.50 % (9084)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (9080)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (9087)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (9087)------------------------------
% 0.19/0.50 % (9087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9087)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (9087)Memory used [KB]: 5884
% 0.19/0.50 % (9087)Time elapsed: 0.097 s
% 0.19/0.50 % (9087)Instructions burned: 3 (million)
% 0.19/0.50 % (9087)------------------------------
% 0.19/0.50 % (9087)------------------------------
% 0.19/0.50 % (9071)Success in time 0.162 s
%------------------------------------------------------------------------------