TSTP Solution File: SYN950+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN950+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 18:11:13 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 74 ( 26 ~; 21 |; 18 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 46 ( 36 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(resolution,[],[f20,f18]) ).
fof(f18,plain,
! [X0] : sP0(sK1,X0),
inference(resolution,[],[f17,f15]) ).
fof(f15,plain,
! [X2] :
( ~ p(sK2)
| sP0(sK1,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ! [X2] :
( ( ~ p(sK2)
& q(X2) )
| sP0(sK1,X2) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f8,f9]) ).
fof(f9,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p(X1)
& q(X2) )
| sP0(X0,X2) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) )
=> ( ! [X2] :
( ( ~ p(sK2)
& q(X2) )
| sP0(sK1,X2) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ p(X1)
& q(X2) )
| sP0(X0,X2) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X0,X1] :
( ! [X3] :
( ( ~ p(X1)
& q(X3) )
| sP0(X0,X3) )
& ! [X2] :
( p(X2)
| ~ q(X2) ) ),
inference(definition_folding,[],[f3,f4]) ).
fof(f4,plain,
! [X0,X3] :
( ( ~ p(X0)
& p(X3) )
| ~ sP0(X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3,plain,
? [X0,X1] :
( ! [X3] :
( ( ~ p(X1)
& q(X3) )
| ( ~ p(X0)
& p(X3) ) )
& ! [X2] :
( p(X2)
| ~ q(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f17,plain,
! [X0] : p(X0),
inference(subsumption_resolution,[],[f16,f13]) ).
fof(f13,plain,
! [X3] :
( ~ q(X3)
| p(X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0] :
( p(X0)
| q(X0) ),
inference(resolution,[],[f11,f14]) ).
fof(f14,plain,
! [X2] :
( sP0(sK1,X2)
| q(X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f11,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| p(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( ~ p(X0)
& p(X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
! [X0,X3] :
( ( ~ p(X0)
& p(X3) )
| ~ sP0(X0,X3) ),
inference(nnf_transformation,[],[f4]) ).
fof(f20,plain,
! [X0,X1] : ~ sP0(X0,X1),
inference(subsumption_resolution,[],[f12,f17]) ).
fof(f12,plain,
! [X0,X1] :
( ~ p(X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN950+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 01:28:33 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (12189)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (12190)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 % (12195)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39 % (12191)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39 % (12194)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39 % (12196)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)
% 0.16/0.39 % (12193)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39 % (12192)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)
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 % (12194)First to succeed.
% 0.16/0.39 % (12193)Also succeeded, but the first one will report.
% 0.16/0.39 % (12191)Also succeeded, but the first one will report.
% 0.16/0.39 % (12194)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (12194)------------------------------
% 0.16/0.39 % (12194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.39 % (12194)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (12194)Memory used [KB]: 743
% 0.16/0.39 % (12194)Time elapsed: 0.003 s
% 0.16/0.39 % (12194)Instructions burned: 2 (million)
% 0.16/0.39 % (12194)------------------------------
% 0.16/0.39 % (12194)------------------------------
% 0.16/0.39 % (12189)Success in time 0.018 s
%------------------------------------------------------------------------------