TSTP Solution File: PHI013+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PHI013+1 : TPTP v8.2.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 May 21 02:18:57 EDT 2024
% Result : Theorem 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 62 ( 18 unt; 0 def)
% Number of atoms : 216 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 248 ( 94 ~; 83 |; 50 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 80 ( 67 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,plain,
$false,
inference(unit_resulting_resolution,[],[f133,f95,f97,f187,f62,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ is_the(X1,X0)
| exemplifies_property(X0,X1)
| ~ object(X1)
| ~ property(X0)
| ~ sP12(X0) ),
inference(general_splitting,[],[f67,f91_D]) ).
fof(f91,plain,
! [X2,X0] :
( ~ is_the(X2,X0)
| ~ object(X2)
| sP12(X0) ),
inference(cnf_transformation,[],[f91_D]) ).
fof(f91_D,plain,
! [X0] :
( ! [X2] :
( ~ is_the(X2,X0)
| ~ object(X2) )
<=> ~ sP12(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f67,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ property(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ is_the(X2,X0)
| ~ object(X2) )
| ~ property(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ~ property(X0) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ~ property(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( property(X0)
=> ( ? [X1] :
( is_the(X1,X0)
& object(X1) )
=> ! [X2] :
( object(X2)
=> ( is_the(X2,X0)
=> exemplifies_property(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
fof(f62,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f187,plain,
~ exemplifies_property(none_greater,god),
inference(unit_resulting_resolution,[],[f99,f185,f77]) ).
fof(f77,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| sP4(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ exemplifies_property(none_greater,X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> sP4(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f185,plain,
~ sP4(god),
inference(unit_resulting_resolution,[],[f177,f80]) ).
fof(f80,plain,
! [X0] :
( ~ sP4(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( sP4(X0)
| ~ sP3(X0)
| ~ exemplifies_property(conceivable,X0) )
& ( ( sP3(X0)
& exemplifies_property(conceivable,X0) )
| ~ sP4(X0) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( sP4(X0)
| ~ sP3(X0)
| ~ exemplifies_property(conceivable,X0) )
& ( ( sP3(X0)
& exemplifies_property(conceivable,X0) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( sP4(X0)
<=> ( sP3(X0)
& exemplifies_property(conceivable,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f177,plain,
~ sP3(god),
inference(unit_resulting_resolution,[],[f152,f151,f150,f82]) ).
fof(f82,plain,
! [X2,X0] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ object(X2)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( sP3(X0)
| ( exemplifies_property(conceivable,sK10(X0))
& exemplifies_relation(greater_than,sK10(X0),X0)
& object(sK10(X0)) ) )
& ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
| ~ sP3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f56,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK10(X0))
& exemplifies_relation(greater_than,sK10(X0),X0)
& object(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ( sP3(X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) )
& ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
| ~ sP3(X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( sP3(X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) )
& ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
| ~ sP3(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( sP3(X0)
<=> ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f150,plain,
exemplifies_relation(greater_than,sK9(god),god),
inference(unit_resulting_resolution,[],[f148,f74]) ).
fof(f74,plain,
! [X0] :
( ~ sP2(X0)
| exemplifies_relation(greater_than,sK9(X0),X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( exemplifies_property(conceivable,sK9(X0))
& exemplifies_relation(greater_than,sK9(X0),X0)
& object(sK9(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f49,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK9(X0))
& exemplifies_relation(greater_than,sK9(X0),X0)
& object(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f148,plain,
sP2(god),
inference(unit_resulting_resolution,[],[f97,f61,f62,f76]) ).
fof(f76,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| sP2(X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sP2(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(definition_folding,[],[f24,f31]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( object(X0)
=> ( ( ~ exemplifies_property(existence,X0)
& is_the(X0,none_greater) )
=> ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4] :
( object(X4)
=> ( ( ~ exemplifies_property(existence,X4)
& is_the(X4,none_greater) )
=> ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X4)
& object(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f61,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f10]) ).
fof(f10,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(f151,plain,
exemplifies_property(conceivable,sK9(god)),
inference(unit_resulting_resolution,[],[f148,f75]) ).
fof(f75,plain,
! [X0] :
( ~ sP2(X0)
| exemplifies_property(conceivable,sK9(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f152,plain,
object(sK9(god)),
inference(unit_resulting_resolution,[],[f148,f73]) ).
fof(f73,plain,
! [X0] :
( ~ sP2(X0)
| object(sK9(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f99,plain,
sP5(god),
inference(unit_resulting_resolution,[],[f97,f86]) ).
fof(f86,plain,
! [X0] :
( ~ object(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( sP5(X0)
| ~ object(X0) ),
inference(definition_folding,[],[f25,f35,f34,f33]) ).
fof(f25,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
& exemplifies_property(conceivable,X0) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X4] :
( object(X4)
=> ( exemplifies_property(none_greater,X4)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X4)
& object(X1) )
& exemplifies_property(conceivable,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f97,plain,
object(god),
inference(unit_resulting_resolution,[],[f62,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( object(X0)
& property(X1) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X0] :
( is_the(X4,X0)
=> ( object(X4)
& property(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f95,plain,
property(none_greater),
inference(unit_resulting_resolution,[],[f62,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f133,plain,
sP12(none_greater),
inference(unit_resulting_resolution,[],[f97,f62,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : PHI013+1 : TPTP v8.2.0. Released v7.2.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat May 18 14:43:23 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (22141)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (22144)WARNING: value z3 for option sas not known
% 0.16/0.32 % (22142)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 % (22145)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (22147)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)
% 0.16/0.32 % (22148)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)
% 0.16/0.32 % (22146)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)
% 0.16/0.32 % (22144)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)
% 0.16/0.32 % (22143)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (22148)First to succeed.
% 0.16/0.32 TRYING [4]
% 0.16/0.32 TRYING [4]
% 0.16/0.32 % (22148)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22141"
% 0.16/0.32 TRYING [1]
% 0.16/0.32 % (22144)Also succeeded, but the first one will report.
% 0.16/0.32 TRYING [2]
% 0.16/0.32 % (22147)Also succeeded, but the first one will report.
% 0.16/0.32 % (22148)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (22148)------------------------------
% 0.16/0.33 % (22148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (22148)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (22148)Memory used [KB]: 888
% 0.16/0.33 % (22148)Time elapsed: 0.004 s
% 0.16/0.33 % (22148)Instructions burned: 8 (million)
% 0.16/0.33 % (22141)Success in time 0.006 s
%------------------------------------------------------------------------------