TSTP Solution File: PHI013+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.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 : Wed Aug 31 18:08:24 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 9 unt; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 265 ( 101 ~; 99 |; 48 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 77 ( 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(resolution,[],[f120,f46]) ).
fof(f46,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(f120,plain,
! [X0] : ~ is_the(X0,none_greater),
inference(subsumption_resolution,[],[f119,f115]) ).
fof(f115,plain,
~ exemplifies_property(none_greater,god),
inference(subsumption_resolution,[],[f114,f53]) ).
fof(f53,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(f114,plain,
( exemplifies_property(existence,god)
| ~ exemplifies_property(none_greater,god) ),
inference(resolution,[],[f113,f46]) ).
fof(f113,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(subsumption_resolution,[],[f112,f102]) ).
fof(f102,plain,
! [X0] :
( exemplifies_property(conceivable,sK0(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(subsumption_resolution,[],[f43,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ is_the(X1,X0)
| object(X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( object(X1)
& property(X0) )
| ~ is_the(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( object(X0)
& property(X1) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X0] :
( is_the(X4,X0)
=> ( property(X0)
& object(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f43,plain,
! [X0] :
( exemplifies_property(conceivable,sK0(X0))
| exemplifies_property(existence,X0)
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| ( object(sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& exemplifies_property(conceivable,sK0(X0)) )
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
=> ( object(sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& exemplifies_property(conceivable,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( object(X0)
=> ( ( ~ exemplifies_property(existence,X0)
& is_the(X0,none_greater) )
=> ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4] :
( object(X4)
=> ( ( is_the(X4,none_greater)
& ~ exemplifies_property(existence,X4) )
=> ? [X1] :
( exemplifies_relation(greater_than,X1,X4)
& object(X1)
& exemplifies_property(conceivable,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f112,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| exemplifies_property(existence,X0)
| ~ exemplifies_property(conceivable,sK0(X0))
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f111,f93]) ).
fof(f93,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| object(sK0(X0)) ),
inference(subsumption_resolution,[],[f45,f52]) ).
fof(f45,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| ~ object(X0)
| object(sK0(X0))
| exemplifies_property(existence,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f111,plain,
! [X0] :
( ~ exemplifies_property(conceivable,sK0(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(sK0(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f108,f52]) ).
fof(f108,plain,
! [X0] :
( ~ exemplifies_property(conceivable,sK0(X0))
| ~ object(sK0(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(resolution,[],[f54,f107]) ).
fof(f107,plain,
! [X0] :
( exemplifies_relation(greater_than,sK0(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f44,f52]) ).
fof(f44,plain,
! [X0] :
( exemplifies_relation(greater_than,sK0(X0),X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X2,X0] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X0)
| ~ object(X2)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( object(sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& exemplifies_property(conceivable,sK2(X0)) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f34,f35]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
=> ( object(sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& exemplifies_property(conceivable,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( object(X0)
=> ( ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& object(X1)
& exemplifies_relation(greater_than,X1,X0) )
& exemplifies_property(conceivable,X0) )
<=> exemplifies_property(none_greater,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X4] :
( object(X4)
=> ( ( exemplifies_property(conceivable,X4)
& ~ ? [X1] :
( object(X1)
& exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X4) ) )
<=> exemplifies_property(none_greater,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f119,plain,
! [X0] :
( exemplifies_property(none_greater,god)
| ~ is_the(X0,none_greater) ),
inference(resolution,[],[f118,f46]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ is_the(X2,X0)
| ~ is_the(X1,X0)
| exemplifies_property(X0,X2) ),
inference(subsumption_resolution,[],[f117,f52]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| ~ is_the(X2,X0)
| ~ object(X2)
| exemplifies_property(X0,X2) ),
inference(subsumption_resolution,[],[f116,f52]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X2)
| exemplifies_property(X0,X2)
| ~ is_the(X2,X0) ),
inference(subsumption_resolution,[],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ is_the(X1,X0)
| property(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f50,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X1)
| ~ property(X0)
| ~ is_the(X1,X0)
| ~ object(X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0) )
| ~ property(X0)
| ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0) )
| ~ 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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 10:16:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (14903)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (14902)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (14922)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (14911)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (14904)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (14920)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (14905)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (14899)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (14899)Refutation not found, incomplete strategy% (14899)------------------------------
% 0.19/0.51 % (14899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14919)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (14898)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (14912)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (14905)First to succeed.
% 0.19/0.51 % (14909)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (14899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14899)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (14899)Memory used [KB]: 5500
% 0.19/0.51 % (14899)Time elapsed: 0.108 s
% 0.19/0.51 % (14899)Instructions burned: 3 (million)
% 0.19/0.51 % (14899)------------------------------
% 0.19/0.51 % (14899)------------------------------
% 0.19/0.51 % (14910)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (14914)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (14905)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (14905)------------------------------
% 0.19/0.51 % (14905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14905)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (14905)Memory used [KB]: 5500
% 0.19/0.51 % (14905)Time elapsed: 0.073 s
% 0.19/0.51 % (14905)Instructions burned: 3 (million)
% 0.19/0.51 % (14905)------------------------------
% 0.19/0.51 % (14905)------------------------------
% 0.19/0.51 % (14896)Success in time 0.169 s
%------------------------------------------------------------------------------