TSTP Solution File: SYN328+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN328+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.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 : Sat Sep 2 14:25:28 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 46 ( 6 avg)
% Number of connectives : 284 ( 98 ~; 97 |; 62 &)
% ( 12 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 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 : 45 (; 33 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,plain,
$false,
inference(resolution,[],[f69,f63]) ).
fof(f63,plain,
! [X3] : big_f(X3),
inference(resolution,[],[f55,f10]) ).
fof(f10,plain,
! [X0] :
( ~ big_g(sK0(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ( ~ big_h(sK1(X0))
| ~ big_g(sK1(X0))
| ~ big_f(sK1(X0)) )
& ( big_h(sK0(X0))
| ( ~ big_g(sK0(X0))
& big_f(sK0(X0)) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(sK0(X0))
& ( big_g(sK0(X0))
| ~ big_f(sK0(X0)) ) ) )
& ( big_h(sK0(X0))
| ~ big_f(sK0(X0))
| ~ big_g(X0) )
& ( big_g(X0)
| ( ~ big_h(sK0(X0))
& big_f(sK0(X0)) ) )
& ( big_g(sK0(X0))
| ~ big_f(sK0(X0))
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(sK0(X0))
& big_f(sK0(X0)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1,X2] :
( ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) )
& ( big_h(X1)
| ( ~ big_g(X1)
& big_f(X1) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(X1)
& ( big_g(X1)
| ~ big_f(X1) ) ) )
& ( big_h(X1)
| ~ big_f(X1)
| ~ big_g(X0) )
& ( big_g(X0)
| ( ~ big_h(X1)
& big_f(X1) ) )
& ( big_g(X1)
| ~ big_f(X1)
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(X1)
& big_f(X1) ) ) )
=> ( ( ~ big_h(sK1(X0))
| ~ big_g(sK1(X0))
| ~ big_f(sK1(X0)) )
& ( big_h(sK0(X0))
| ( ~ big_g(sK0(X0))
& big_f(sK0(X0)) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(sK0(X0))
& ( big_g(sK0(X0))
| ~ big_f(sK0(X0)) ) ) )
& ( big_h(sK0(X0))
| ~ big_f(sK0(X0))
| ~ big_g(X0) )
& ( big_g(X0)
| ( ~ big_h(sK0(X0))
& big_f(sK0(X0)) ) )
& ( big_g(sK0(X0))
| ~ big_f(sK0(X0))
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(sK0(X0))
& big_f(sK0(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X0] :
? [X1,X2] :
( ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) )
& ( big_h(X1)
| ( ~ big_g(X1)
& big_f(X1) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(X1)
& ( big_g(X1)
| ~ big_f(X1) ) ) )
& ( big_h(X1)
| ~ big_f(X1)
| ~ big_g(X0) )
& ( big_g(X0)
| ( ~ big_h(X1)
& big_f(X1) ) )
& ( big_g(X1)
| ~ big_f(X1)
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(X1)
& big_f(X1) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X0] :
? [X1,X2] :
( ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) )
& ( big_h(X1)
| ( ~ big_g(X1)
& big_f(X1) )
| ~ big_h(X0) )
& ( big_h(X0)
| ( ~ big_h(X1)
& ( big_g(X1)
| ~ big_f(X1) ) ) )
& ( big_h(X1)
| ~ big_f(X1)
| ~ big_g(X0) )
& ( big_g(X0)
| ( ~ big_h(X1)
& big_f(X1) ) )
& ( big_g(X1)
| ~ big_f(X1)
| ~ big_f(X0) )
& ( big_f(X0)
| ( ~ big_g(X1)
& big_f(X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
! [X0] :
? [X1,X2] :
( ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) )
& ( ( big_h(X1)
| ( ~ big_g(X1)
& big_f(X1) ) )
<=> big_h(X0) )
& ( ( big_h(X1)
| ~ big_f(X1) )
<=> big_g(X0) )
& ( ( big_g(X1)
| ~ big_f(X1) )
<=> big_f(X0) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0] :
? [X1,X2] :
( ( ~ big_h(X2)
| ~ big_g(X2)
| ~ big_f(X2) )
& ( ( big_h(X1)
| ( ~ big_g(X1)
& big_f(X1) ) )
<=> big_h(X0) )
& ( ( big_h(X1)
| ~ big_f(X1) )
<=> big_g(X0) )
& ( ( big_g(X1)
| ~ big_f(X1) )
<=> big_f(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1,X2] :
( ( ( big_f(X1)
=> big_g(X1) )
<=> big_f(X0) )
=> ( ( ( big_f(X1)
=> big_h(X1) )
<=> big_g(X0) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_h(X2)
& big_g(X2)
& big_f(X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
! [X1,X2] :
( ( ( big_f(X1)
=> big_g(X1) )
<=> big_f(X0) )
=> ( ( ( big_f(X1)
=> big_h(X1) )
<=> big_g(X0) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_h(X2)
& big_g(X2)
& big_f(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6AimUQOcmb/Vampire---4.8_19868',church_46_12_3) ).
fof(f55,plain,
! [X1] : big_g(X1),
inference(resolution,[],[f53,f13]) ).
fof(f13,plain,
! [X0] :
( ~ big_h(sK0(X0))
| big_g(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0] : big_h(X0),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f50,plain,
! [X0] :
( big_h(X0)
| big_h(X0) ),
inference(resolution,[],[f45,f33]) ).
fof(f33,plain,
! [X0] :
( big_f(sK0(X0))
| big_h(X0) ),
inference(resolution,[],[f30,f16]) ).
fof(f16,plain,
! [X0] :
( ~ big_h(sK0(X0))
| big_h(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X1] :
( big_h(X1)
| big_f(X1) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,plain,
! [X1] :
( big_h(X1)
| big_f(X1)
| big_f(X1) ),
inference(resolution,[],[f25,f9]) ).
fof(f9,plain,
! [X0] :
( big_f(sK0(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X0] :
( ~ big_f(sK0(X0))
| big_h(X0)
| big_f(X0) ),
inference(resolution,[],[f15,f10]) ).
fof(f15,plain,
! [X0] :
( big_g(sK0(X0))
| big_h(X0)
| ~ big_f(sK0(X0)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f45,plain,
! [X0] :
( ~ big_f(sK0(X0))
| big_h(X0) ),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
! [X0] :
( big_h(X0)
| big_h(X0)
| ~ big_f(sK0(X0)) ),
inference(resolution,[],[f41,f15]) ).
fof(f41,plain,
! [X0] :
( ~ big_g(sK0(X0))
| big_h(X0) ),
inference(resolution,[],[f39,f16]) ).
fof(f39,plain,
! [X1] :
( big_h(X1)
| ~ big_g(X1) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
! [X1] :
( big_h(X1)
| ~ big_g(X1)
| big_h(X1) ),
inference(resolution,[],[f33,f21]) ).
fof(f21,plain,
! [X0] :
( ~ big_f(sK0(X0))
| ~ big_g(X0)
| big_h(X0) ),
inference(resolution,[],[f14,f16]) ).
fof(f14,plain,
! [X0] :
( big_h(sK0(X0))
| ~ big_f(sK0(X0))
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f69,plain,
! [X0] : ~ big_f(sK1(X0)),
inference(resolution,[],[f64,f53]) ).
fof(f64,plain,
! [X4] :
( ~ big_h(sK1(X4))
| ~ big_f(sK1(X4)) ),
inference(resolution,[],[f55,f19]) ).
fof(f19,plain,
! [X0] :
( ~ big_g(sK1(X0))
| ~ big_h(sK1(X0))
| ~ big_f(sK1(X0)) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN328+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 15:59:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (20143)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (20173)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.43 % (20175)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.43 % (20174)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (20176)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (20177)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.43 % (20178)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.43 % (20179)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [1,1]
% 0.22/0.43 TRYING [1,1]
% 0.22/0.43 TRYING [2,1]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [2,1]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [3,1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3,1]
% 0.22/0.43 % (20175)First to succeed.
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4,1]
% 0.22/0.43 TRYING [4,1]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 % (20177)Also succeeded, but the first one will report.
% 0.22/0.43 TRYING [5]
% 0.22/0.43 % (20178)Also succeeded, but the first one will report.
% 0.22/0.43 % (20175)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (20175)------------------------------
% 0.22/0.43 % (20175)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (20175)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (20175)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (20175)Memory used [KB]: 5373
% 0.22/0.43 % (20175)Time elapsed: 0.004 s
% 0.22/0.43 % (20175)------------------------------
% 0.22/0.43 % (20175)------------------------------
% 0.22/0.43 % (20143)Success in time 0.062 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------