TSTP Solution File: SYN986+1.001 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN986+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 18:11:19 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 9 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,plain,
$false,
inference(subsumption_resolution,[],[f15,f10]) ).
fof(f10,plain,
! [X0] : r(X0,zero,succ(X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r(X0,zero,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
fof(f15,plain,
~ r(zero,zero,succ(zero)),
inference(resolution,[],[f14,f9]) ).
fof(f9,plain,
! [X0,X1] :
( ~ r(zero,X0,X1)
| ~ r(zero,zero,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ~ r(zero,X0,X1)
| ~ r(zero,zero,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ? [X0,X1] :
( r(zero,X0,X1)
& r(zero,zero,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X3,X4] :
( r(zero,X3,X4)
& r(zero,zero,X3) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X3,X4] :
( r(zero,X3,X4)
& r(zero,zero,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ck) ).
fof(f14,plain,
! [X0] : r(X0,succ(zero),succ(succ(X0))),
inference(resolution,[],[f13,f10]) ).
fof(f13,plain,
! [X0,X1] :
( ~ r(X0,zero,X1)
| r(X0,succ(zero),succ(X1)) ),
inference(resolution,[],[f11,f10]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ r(X2,X1,X3)
| r(X0,succ(X1),X3)
| ~ r(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( r(X0,succ(X1),X3)
| ~ r(X2,X1,X3)
| ~ r(X0,X1,X2) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X0,X1,X2,X3] :
( r(X0,succ(X1),X3)
| ~ r(X2,X1,X3)
| ~ r(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( r(X0,X1,X2)
=> ( r(X2,X1,X3)
=> r(X0,succ(X1),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN986+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.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 : Tue Apr 30 01:53:42 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (27298)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (27301)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)
% 0.15/0.38 % (27302)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (27303)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (27300)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (27304)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (27305)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)
% 0.15/0.38 % (27299)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (27303)First to succeed.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (27304)Also succeeded, but the first one will report.
% 0.15/0.38 % (27299)Also succeeded, but the first one will report.
% 0.15/0.38 % (27303)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (27303)------------------------------
% 0.15/0.38 % (27303)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (27303)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (27303)Memory used [KB]: 759
% 0.15/0.38 % (27303)Time elapsed: 0.003 s
% 0.15/0.38 % (27303)Instructions burned: 2 (million)
% 0.15/0.38 % (27303)------------------------------
% 0.15/0.38 % (27303)------------------------------
% 0.15/0.38 % (27298)Success in time 0.019 s
%------------------------------------------------------------------------------