TSTP Solution File: CSR147+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 05:03:46 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 30
% Syntax : Number of formulae : 90 ( 34 unt; 0 def)
% Number of atoms : 228 ( 28 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 244 ( 106 ~; 105 |; 6 &)
% ( 17 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 18 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 51 ( 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f50,f55,f60,f65,f70,f75,f80,f85,f89,f94,f101,f105,f115,f121,f128,f134,f137]) ).
fof(f137,plain,
( ~ spl1_7
| ~ spl1_8
| ~ spl1_6
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f116,f113,f67,f77,f72]) ).
fof(f72,plain,
( spl1_7
<=> s__age(geoff,n48) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f77,plain,
( spl1_8
<=> s__age(jim,n54) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f67,plain,
( spl1_6
<=> greater(n54,n48) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f113,plain,
( spl1_14
<=> ! [X0,X1] :
( ~ s__age(geoff,X0)
| ~ s__age(jim,X1)
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f116,plain,
( ~ s__age(jim,n54)
| ~ s__age(geoff,n48)
| ~ spl1_6
| ~ spl1_14 ),
inference(resolution,[],[f114,f69]) ).
fof(f69,plain,
( greater(n54,n48)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f114,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| ~ s__age(jim,X1)
| ~ s__age(geoff,X0) )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f134,plain,
( spl1_17
| ~ spl1_4
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f110,f103,f57,f131]) ).
fof(f131,plain,
( spl1_17
<=> sK0 = s__siblingFn(s__siblingFn(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f57,plain,
( spl1_4
<=> s__Human(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f103,plain,
( spl1_13
<=> ! [X0] :
( ~ s__Human(X0)
| s__siblingFn(s__siblingFn(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f110,plain,
( sK0 = s__siblingFn(s__siblingFn(sK0))
| ~ spl1_4
| ~ spl1_13 ),
inference(resolution,[],[f104,f59]) ).
fof(f59,plain,
( s__Human(sK0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f104,plain,
( ! [X0] :
( ~ s__Human(X0)
| s__siblingFn(s__siblingFn(X0)) = X0 )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f128,plain,
( spl1_16
| ~ spl1_2
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f107,f103,f47,f125]) ).
fof(f125,plain,
( spl1_16
<=> geoff = s__siblingFn(s__siblingFn(geoff)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
fof(f47,plain,
( spl1_2
<=> s__Human(geoff) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f107,plain,
( geoff = s__siblingFn(s__siblingFn(geoff))
| ~ spl1_2
| ~ spl1_13 ),
inference(resolution,[],[f104,f49]) ).
fof(f49,plain,
( s__Human(geoff)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f121,plain,
( spl1_15
| ~ spl1_3
| ~ spl1_9
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f111,f103,f82,f52,f118]) ).
fof(f118,plain,
( spl1_15
<=> jim = s__siblingFn(geoff) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f52,plain,
( spl1_3
<=> s__Human(jim) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f82,plain,
( spl1_9
<=> geoff = s__siblingFn(jim) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f111,plain,
( jim = s__siblingFn(geoff)
| ~ spl1_3
| ~ spl1_9
| ~ spl1_13 ),
inference(forward_demodulation,[],[f108,f84]) ).
fof(f84,plain,
( geoff = s__siblingFn(jim)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f108,plain,
( jim = s__siblingFn(s__siblingFn(jim))
| ~ spl1_3
| ~ spl1_13 ),
inference(resolution,[],[f104,f54]) ).
fof(f54,plain,
( s__Human(jim)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f115,plain,
( ~ spl1_3
| spl1_5
| spl1_1
| spl1_14
| ~ spl1_9
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f106,f99,f82,f113,f42,f62,f52]) ).
fof(f62,plain,
( spl1_5
<=> s__has_seen_more(geoff,jim) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f42,plain,
( spl1_1
<=> s__more_experienced(jim,geoff) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f99,plain,
( spl1_12
<=> ! [X2,X0,X1] :
( s__has_seen_more(s__siblingFn(X0),X0)
| s__more_experienced(X0,s__siblingFn(X0))
| ~ greater(X1,X2)
| ~ s__age(s__siblingFn(X0),X2)
| ~ s__age(X0,X1)
| ~ s__Human(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f106,plain,
( ! [X0,X1] :
( ~ s__age(geoff,X0)
| s__more_experienced(jim,geoff)
| ~ greater(X1,X0)
| s__has_seen_more(geoff,jim)
| ~ s__age(jim,X1)
| ~ s__Human(jim) )
| ~ spl1_9
| ~ spl1_12 ),
inference(superposition,[],[f100,f84]) ).
fof(f100,plain,
( ! [X2,X0,X1] :
( ~ s__age(s__siblingFn(X0),X2)
| s__more_experienced(X0,s__siblingFn(X0))
| ~ greater(X1,X2)
| s__has_seen_more(s__siblingFn(X0),X0)
| ~ s__age(X0,X1)
| ~ s__Human(X0) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f105,plain,
( spl1_13
| ~ spl1_10
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f97,f92,f87,f103]) ).
fof(f87,plain,
( spl1_10
<=> ! [X0] :
( s__Human(s__siblingFn(X0))
| ~ s__Human(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f92,plain,
( spl1_11
<=> ! [X1] :
( s__siblingFn(s__siblingFn(X1)) = X1
| ~ s__Human(X1)
| ~ s__Human(s__siblingFn(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f97,plain,
( ! [X0] :
( ~ s__Human(X0)
| s__siblingFn(s__siblingFn(X0)) = X0 )
| ~ spl1_10
| ~ spl1_11 ),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f95,plain,
( ! [X0] :
( ~ s__Human(X0)
| s__siblingFn(s__siblingFn(X0)) = X0
| ~ s__Human(X0) )
| ~ spl1_10
| ~ spl1_11 ),
inference(resolution,[],[f93,f88]) ).
fof(f88,plain,
( ! [X0] :
( s__Human(s__siblingFn(X0))
| ~ s__Human(X0) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f93,plain,
( ! [X1] :
( ~ s__Human(s__siblingFn(X1))
| ~ s__Human(X1)
| s__siblingFn(s__siblingFn(X1)) = X1 )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f101,plain,
spl1_12,
inference(avatar_split_clause,[],[f38,f99]) ).
fof(f38,plain,
! [X2,X0,X1] :
( s__has_seen_more(s__siblingFn(X0),X0)
| s__more_experienced(X0,s__siblingFn(X0))
| ~ greater(X1,X2)
| ~ s__age(s__siblingFn(X0),X2)
| ~ s__age(X0,X1)
| ~ s__Human(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( s__has_seen_more(s__siblingFn(X0),X0)
| s__more_experienced(X0,s__siblingFn(X0))
| ~ greater(X1,X2)
| ~ s__age(s__siblingFn(X0),X2)
| ~ s__age(X0,X1)
| ~ s__Human(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( s__has_seen_more(s__siblingFn(X0),X0)
| s__more_experienced(X0,s__siblingFn(X0))
| ~ greater(X1,X2)
| ~ s__age(s__siblingFn(X0),X2)
| ~ s__age(X0,X1)
| ~ s__Human(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( s__Human(X0)
=> ( ( greater(X1,X2)
& s__age(s__siblingFn(X0),X2)
& s__age(X0,X1) )
=> ( s__has_seen_more(s__siblingFn(X0),X0)
| s__more_experienced(X0,s__siblingFn(X0)) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X3] :
( s__Human(X1)
=> ( ( greater(X2,X3)
& s__age(s__siblingFn(X1),X3)
& s__age(X1,X2) )
=> ( s__has_seen_more(s__siblingFn(X1),X1)
| s__more_experienced(X1,s__siblingFn(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',experience) ).
fof(f94,plain,
spl1_11,
inference(avatar_split_clause,[],[f40,f92]) ).
fof(f40,plain,
! [X1] :
( s__siblingFn(s__siblingFn(X1)) = X1
| ~ s__Human(X1)
| ~ s__Human(s__siblingFn(X1)) ),
inference(equality_resolution,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( s__siblingFn(X0) = X1
| s__siblingFn(X1) != X0
| ~ s__Human(X1)
| ~ s__Human(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( s__siblingFn(X0) = X1
| s__siblingFn(X1) != X0
| ~ s__Human(X1)
| ~ s__Human(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( s__siblingFn(X0) = X1
| s__siblingFn(X1) != X0
| ~ s__Human(X1)
| ~ s__Human(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( s__Human(X1)
& s__Human(X0) )
=> ( s__siblingFn(X1) = X0
=> s__siblingFn(X0) = X1 ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X5] :
( ( s__Human(X5)
& s__Human(X4) )
=> ( s__siblingFn(X5) = X4
=> s__siblingFn(X4) = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sibling_symmetry) ).
fof(f89,plain,
spl1_10,
inference(avatar_split_clause,[],[f36,f87]) ).
fof(f36,plain,
! [X0] :
( s__Human(s__siblingFn(X0))
| ~ s__Human(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( s__Human(s__siblingFn(X0))
| ~ s__Human(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( s__Human(X0)
=> s__Human(s__siblingFn(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sibling_type) ).
fof(f85,plain,
spl1_9,
inference(avatar_split_clause,[],[f35,f82]) ).
fof(f35,plain,
geoff = s__siblingFn(jim),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
geoff = s__siblingFn(jim),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_and_jim) ).
fof(f80,plain,
spl1_8,
inference(avatar_split_clause,[],[f34,f77]) ).
fof(f34,plain,
s__age(jim,n54),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
s__age(jim,n54),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_54) ).
fof(f75,plain,
spl1_7,
inference(avatar_split_clause,[],[f33,f72]) ).
fof(f33,plain,
s__age(geoff,n48),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
s__age(geoff,n48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_48) ).
fof(f70,plain,
spl1_6,
inference(avatar_split_clause,[],[f32,f67]) ).
fof(f32,plain,
greater(n54,n48),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
greater(n54,n48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greater_54_48) ).
fof(f65,plain,
~ spl1_5,
inference(avatar_split_clause,[],[f31,f62]) ).
fof(f31,plain,
~ s__has_seen_more(geoff,jim),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
~ s__has_seen_more(geoff,jim),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_has_seen_more) ).
fof(f60,plain,
spl1_4,
inference(avatar_split_clause,[],[f39,f57]) ).
fof(f39,plain,
s__Human(sK0),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
s__Human(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f26]) ).
fof(f26,plain,
( ? [X0] : s__Human(X0)
=> s__Human(sK0) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] : s__Human(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',human_type) ).
fof(f55,plain,
spl1_3,
inference(avatar_split_clause,[],[f30,f52]) ).
fof(f30,plain,
s__Human(jim),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
s__Human(jim),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_human) ).
fof(f50,plain,
spl1_2,
inference(avatar_split_clause,[],[f29,f47]) ).
fof(f29,plain,
s__Human(geoff),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
s__Human(geoff),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_human) ).
fof(f45,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f28,f42]) ).
fof(f28,plain,
~ s__more_experienced(jim,geoff),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
~ s__more_experienced(jim,geoff),
inference(flattening,[],[f15]) ).
fof(f15,negated_conjecture,
~ s__more_experienced(jim,geoff),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
s__more_experienced(jim,geoff),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_is_experienced) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n009.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 : Fri May 3 20:09:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (23552)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (23555)WARNING: value z3 for option sas not known
% 0.15/0.38 % (23554)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (23553)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (23555)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)
% 0.15/0.38 % (23556)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (23559)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)
% 0.15/0.38 % (23557)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)
% 0.15/0.38 % (23558)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 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 [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (23557)First to succeed.
% 0.15/0.38 % (23559)Also succeeded, but the first one will report.
% 0.15/0.38 % (23555)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 % (23558)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (23557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23552"
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [6]
% 0.15/0.39 TRYING [6]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (23557)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (23557)------------------------------
% 0.15/0.39 % (23557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (23557)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (23557)Memory used [KB]: 787
% 0.15/0.39 % (23557)Time elapsed: 0.006 s
% 0.15/0.39 % (23557)Instructions burned: 5 (million)
% 0.15/0.39 % (23552)Success in time 0.021 s
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