TSTP Solution File: SYN346+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN346+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Tue Apr 30 18:02:58 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 95 ( 37 ~; 20 |; 30 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 52 ( 30 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(resolution,[],[f14,f10]) ).
fof(f10,plain,
! [X2,X1] : big_f(sK0,sK1(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X2] :
( ( ~ big_f(X2,sK2(X1,X2))
| ~ big_f(sK0,sK2(X1,X2)) )
& ( ~ big_f(X2,sK1(X1,X2))
| ~ big_f(X1,sK1(X1,X2)) )
& big_f(X1,sK2(X1,X2))
& big_f(sK0,sK1(X1,X2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1,X2] :
? [X3,X4] :
( ( ~ big_f(X2,X4)
| ~ big_f(X0,X4) )
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(X1,X4)
& big_f(X0,X3) )
=> ! [X2,X1] :
? [X4,X3] :
( ( ~ big_f(X2,X4)
| ~ big_f(sK0,X4) )
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(X1,X4)
& big_f(sK0,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X1,X2] :
( ? [X4,X3] :
( ( ~ big_f(X2,X4)
| ~ big_f(sK0,X4) )
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(X1,X4)
& big_f(sK0,X3) )
=> ( ( ~ big_f(X2,sK2(X1,X2))
| ~ big_f(sK0,sK2(X1,X2)) )
& ( ~ big_f(X2,sK1(X1,X2))
| ~ big_f(X1,sK1(X1,X2)) )
& big_f(X1,sK2(X1,X2))
& big_f(sK0,sK1(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
! [X1,X2] :
? [X3,X4] :
( ( ~ big_f(X2,X4)
| ~ big_f(X0,X4) )
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(X1,X4)
& big_f(X0,X3) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X1] :
! [X2,X3] :
? [X4,X5] :
( ( ~ big_f(X3,X5)
| ~ big_f(X1,X5) )
& ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& big_f(X2,X5)
& big_f(X1,X4) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X1] :
! [X2,X3] :
? [X4,X5] :
( ( ~ big_f(X3,X5)
| ~ big_f(X1,X5) )
& ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& big_f(X2,X5)
& big_f(X1,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X3,X5)
& big_f(X1,X5) )
| ( big_f(X3,X4)
& big_f(X2,X4) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X3,X5)
& big_f(X1,X5) )
| ( big_f(X3,X4)
& big_f(X2,X4) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X3,X5)
& big_f(X1,X5) )
| ( big_f(X3,X4)
& big_f(X2,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_17_2) ).
fof(f14,plain,
! [X0] : ~ big_f(X0,sK1(X0,sK0)),
inference(resolution,[],[f12,f10]) ).
fof(f12,plain,
! [X2,X1] :
( ~ big_f(X2,sK1(X1,X2))
| ~ big_f(X1,sK1(X1,X2)) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYN346+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 01:46:34 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (30101)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (30102)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 % (30104)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 theBenchmark for (476ds/0Mi)
% 0.22/0.39 % (30103)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (30105)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39 % (30106)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39 % (30107)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39 % (30108)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (30106)First to succeed.
% 0.22/0.39 TRYING [1,1]
% 0.22/0.39 TRYING [1,1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2,2]
% 0.22/0.39 TRYING [2,2]
% 0.22/0.39 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (30103)Refutation not found, incomplete strategy% (30103)------------------------------
% 0.22/0.39 % (30103)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (30103)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39 % (30103)Memory used [KB]: 725
% 0.22/0.39 % (30103)Time elapsed: 0.003 s
% 0.22/0.39 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.39 % (30103)Instructions burned: 3 (million)
% 0.22/0.39 % (30103)------------------------------
% 0.22/0.39 % (30103)------------------------------
% 0.22/0.39 % (30105)Refutation not found, incomplete strategy% (30105)------------------------------
% 0.22/0.39 % (30105)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (30105)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39 % (30105)Memory used [KB]: 725
% 0.22/0.39 % (30105)Time elapsed: 0.003 s
% 0.22/0.39 % (30105)Instructions burned: 3 (million)
% 0.22/0.39 % (30105)------------------------------
% 0.22/0.39 % (30105)------------------------------
% 0.22/0.39 % (30102)Also succeeded, but the first one will report.
% 0.22/0.39 % (30107)Also succeeded, but the first one will report.
% 0.22/0.39 % (30106)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (30106)------------------------------
% 0.22/0.39 % (30106)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (30106)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (30106)Memory used [KB]: 731
% 0.22/0.39 % (30106)Time elapsed: 0.003 s
% 0.22/0.39 % (30106)Instructions burned: 2 (million)
% 0.22/0.39 % (30106)------------------------------
% 0.22/0.39 % (30106)------------------------------
% 0.22/0.39 % (30101)Success in time 0.017 s
%------------------------------------------------------------------------------