TSTP Solution File: PUZ001+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ001+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 : n004.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 : Sun May 5 08:49:30 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 22 unt; 0 def)
% Number of atoms : 94 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 32 ~; 29 |; 4 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 36 ( 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(subsumption_resolution,[],[f116,f29]) ).
fof(f29,plain,
~ killed(agatha,agatha),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
~ killed(agatha,agatha),
inference(flattening,[],[f15]) ).
fof(f15,negated_conjecture,
~ killed(agatha,agatha),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
killed(agatha,agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55) ).
fof(f116,plain,
killed(agatha,agatha),
inference(superposition,[],[f43,f112]) ).
fof(f112,plain,
agatha = sK1,
inference(subsumption_resolution,[],[f104,f65]) ).
fof(f65,plain,
~ killed(butler,agatha),
inference(unit_resulting_resolution,[],[f59,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( killed(X0,X1)
=> ~ richer(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_5) ).
fof(f59,plain,
richer(butler,agatha),
inference(superposition,[],[f50,f56]) ).
fof(f56,plain,
butler = sK0(butler),
inference(unit_resulting_resolution,[],[f52,f35]) ).
fof(f35,plain,
! [X0] :
( hates(agatha,X0)
| butler = X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( hates(agatha,X0)
| butler = X0 ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( butler != X0
=> hates(agatha,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_7) ).
fof(f52,plain,
~ hates(agatha,sK0(butler)),
inference(unit_resulting_resolution,[],[f39,f38]) ).
fof(f38,plain,
! [X0] :
( ~ hates(agatha,X0)
| hates(butler,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( hates(agatha,X0)
=> hates(butler,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_9) ).
fof(f39,plain,
! [X0] : ~ hates(X0,sK0(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] : ~ hates(X0,sK0(X0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] : ~ hates(X0,X1)
=> ~ hates(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
! [X0] :
? [X1] : ~ hates(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_10) ).
fof(f50,plain,
richer(sK0(butler),agatha),
inference(unit_resulting_resolution,[],[f39,f36]) ).
fof(f36,plain,
! [X0] :
( richer(X0,agatha)
| hates(butler,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( hates(butler,X0)
| richer(X0,agatha) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ~ richer(X0,agatha)
=> hates(butler,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_8) ).
fof(f104,plain,
( killed(butler,agatha)
| agatha = sK1 ),
inference(superposition,[],[f43,f101]) ).
fof(f101,plain,
( butler = sK1
| agatha = sK1 ),
inference(subsumption_resolution,[],[f94,f51]) ).
fof(f51,plain,
~ hates(charles,agatha),
inference(unit_resulting_resolution,[],[f44,f37]) ).
fof(f37,plain,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( hates(agatha,X0)
=> ~ hates(charles,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_6) ).
fof(f44,plain,
hates(agatha,agatha),
inference(unit_resulting_resolution,[],[f33,f35]) ).
fof(f33,plain,
agatha != butler,
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_11) ).
fof(f94,plain,
( hates(charles,agatha)
| agatha = sK1
| butler = sK1 ),
inference(superposition,[],[f78,f93]) ).
fof(f93,plain,
( charles = sK1
| agatha = sK1
| butler = sK1 ),
inference(resolution,[],[f34,f42]) ).
fof(f42,plain,
lives(sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( killed(sK1,agatha)
& lives(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f27]) ).
fof(f27,plain,
( ? [X0] :
( killed(X0,agatha)
& lives(X0) )
=> ( killed(sK1,agatha)
& lives(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
( killed(X0,agatha)
& lives(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_1) ).
fof(f34,plain,
! [X0] :
( ~ lives(X0)
| butler = X0
| agatha = X0
| charles = X0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( charles = X0
| butler = X0
| agatha = X0
| ~ lives(X0) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0] :
( charles = X0
| butler = X0
| agatha = X0
| ~ lives(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( lives(X0)
=> ( charles = X0
| butler = X0
| agatha = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_3) ).
fof(f78,plain,
hates(sK1,agatha),
inference(unit_resulting_resolution,[],[f43,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ killed(X0,X1)
| hates(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( killed(X0,X1)
=> hates(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_4) ).
fof(f43,plain,
killed(sK1,agatha),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : PUZ001+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 18:02:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % (25167)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (25170)WARNING: value z3 for option sas not known
% 0.13/0.38 % (25169)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (25172)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (25171)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (25170)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (25173)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (25174)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [5]
% 0.13/0.38 % (25174)First to succeed.
% 0.13/0.38 TRYING [6]
% 0.13/0.38 % (25173)Also succeeded, but the first one will report.
% 0.13/0.38 % (25172)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (25174)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25167"
% 0.13/0.38 % (25171)Also succeeded, but the first one will report.
% 0.13/0.38 % (25170)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [4]
% 0.13/0.38 % (25174)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (25174)------------------------------
% 0.13/0.38 % (25174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (25174)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (25174)Memory used [KB]: 761
% 0.13/0.38 % (25174)Time elapsed: 0.004 s
% 0.13/0.38 % (25174)Instructions burned: 5 (million)
% 0.13/0.38 % (25167)Success in time 0.018 s
%------------------------------------------------------------------------------