TSTP Solution File: KRS143+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS143+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Mon May 20 23:22:17 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 10 unt; 0 def)
% Number of atoms : 263 ( 34 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 278 ( 95 ~; 112 |; 46 &)
% ( 5 <=>; 17 =>; 0 <=; 3 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 95 ( 62 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f137,plain,
$false,
inference(subsumption_resolution,[],[f134,f135]) ).
fof(f135,plain,
~ xsd_string(sK2),
inference(unit_resulting_resolution,[],[f130,f66]) ).
fof(f66,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f130,plain,
xsd_integer(sK2),
inference(unit_resulting_resolution,[],[f125,f84]) ).
fof(f84,plain,
( ~ sP1
| xsd_integer(sK2) ),
inference(duplicate_literal_removal,[],[f83]) ).
fof(f83,plain,
( xsd_integer(sK2)
| ~ sP1
| xsd_integer(sK2) ),
inference(resolution,[],[f56,f67]) ).
fof(f67,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f56,plain,
( ~ xsd_string(sK2)
| xsd_integer(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f42,f43]) ).
fof(f43,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ~ sP1 ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
( ? [X4] :
( ( xsd_integer(X4)
| ~ xsd_string(X4) )
& ( ~ xsd_integer(X4)
| xsd_string(X4) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ? [X4] :
( xsd_string(X4)
<~> ~ xsd_integer(X4) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f125,plain,
sP1,
inference(unit_resulting_resolution,[],[f124,f92]) ).
fof(f92,plain,
( sK3(sK5) != sK4(sK5)
| sP1 ),
inference(resolution,[],[f91,f59]) ).
fof(f59,plain,
! [X0] :
( ~ sP0(X0)
| sK3(X0) != sK4(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( sK3(X0) != sK4(X0)
& rp(X0,sK4(X0))
& rp(X0,sK3(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f45,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
=> ( sK3(X0) != sK4(X0)
& rp(X0,sK4(X0))
& rp(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f91,plain,
( sP0(sK5)
| sP1 ),
inference(subsumption_resolution,[],[f90,f62]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f90,plain,
( sP0(sK5)
| sP1
| ~ cowlThing(sK6) ),
inference(subsumption_resolution,[],[f89,f63]) ).
fof(f63,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f15]) ).
fof(f89,plain,
( sP0(sK5)
| sP1
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(duplicate_literal_removal,[],[f88]) ).
fof(f88,plain,
( sP0(sK5)
| sP1
| cowlNothing(sK6)
| ~ cowlThing(sK6)
| sP1 ),
inference(resolution,[],[f61,f87]) ).
fof(f87,plain,
( rp(sK5,sK7(sK5))
| sP1 ),
inference(resolution,[],[f86,f65]) ).
fof(f65,plain,
! [X0] :
( ~ cc(X0)
| rp(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( rp(X0,sK7(X0))
| ~ cc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f23,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
=> rp(X0,sK7(X0)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( cc(X0)
=> ? [X1] : rp(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3] :
( cc(X3)
=> ? [X4] : rp(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f86,plain,
( cc(sK5)
| sP1 ),
inference(subsumption_resolution,[],[f85,f63]) ).
fof(f85,plain,
( sP1
| cowlNothing(sK6)
| cc(sK5) ),
inference(resolution,[],[f60,f62]) ).
fof(f60,plain,
( ~ cowlThing(sK6)
| sP1
| cowlNothing(sK6)
| cc(sK5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( ( sP0(sK5)
| ! [X1] : ~ rp(sK5,X1) )
& cc(sK5) )
| sP1
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f48,f50,f49]) ).
fof(f49,plain,
( ? [X0] :
( ( sP0(X0)
| ! [X1] : ~ rp(X0,X1) )
& cc(X0) )
=> ( ( sP0(sK5)
| ! [X1] : ~ rp(sK5,X1) )
& cc(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
=> ( cowlNothing(sK6)
| ~ cowlThing(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X0] :
( ( sP0(X0)
| ! [X1] : ~ rp(X0,X1) )
& cc(X0) )
| sP1
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
( ? [X0] :
( ( sP0(X0)
| ! [X3] : ~ rp(X0,X3) )
& cc(X0) )
| sP1
| ? [X5] :
( cowlNothing(X5)
| ~ cowlThing(X5) ) ),
inference(definition_folding,[],[f20,f39,f38]) ).
fof(f20,plain,
( ? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& cc(X0) )
| ? [X4] :
( xsd_string(X4)
<~> ~ xsd_integer(X4) )
| ? [X5] :
( cowlNothing(X5)
| ~ cowlThing(X5) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
( ? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& cc(X0) )
| ? [X4] :
( xsd_string(X4)
<~> ~ xsd_integer(X4) )
| ? [X5] :
( cowlNothing(X5)
| ~ cowlThing(X5) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ( ! [X0] :
( cc(X0)
=> ( ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 )
& ? [X3] : rp(X0,X3) ) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X5] :
( ~ cowlNothing(X5)
& cowlThing(X5) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ( ! [X3] :
( cc(X3)
=> ( ! [X4,X5] :
( ( rp(X3,X5)
& rp(X3,X4) )
=> X4 = X5 )
& ? [X4] : rp(X3,X4) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
( ! [X3] :
( cc(X3)
=> ( ! [X4,X5] :
( ( rp(X3,X5)
& rp(X3,X4) )
=> X4 = X5 )
& ? [X4] : rp(X3,X4) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f61,plain,
! [X1] :
( ~ rp(sK5,X1)
| sP0(sK5)
| sP1
| cowlNothing(sK6)
| ~ cowlThing(sK6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f124,plain,
sK3(sK5) = sK4(sK5),
inference(forward_demodulation,[],[f123,f119]) ).
fof(f119,plain,
sK3(sK5) = sK7(sK5),
inference(subsumption_resolution,[],[f118,f111]) ).
fof(f111,plain,
( xsd_integer(sK2)
| sK3(sK5) = sK7(sK5) ),
inference(resolution,[],[f108,f84]) ).
fof(f108,plain,
( sP1
| sK3(sK5) = sK7(sK5) ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
( sK3(sK5) = sK7(sK5)
| sP1
| sP1 ),
inference(resolution,[],[f102,f94]) ).
fof(f94,plain,
( rp(sK5,sK3(sK5))
| sP1 ),
inference(resolution,[],[f91,f57]) ).
fof(f57,plain,
! [X0] :
( ~ sP0(X0)
| rp(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f102,plain,
! [X0] :
( ~ rp(sK5,X0)
| sK7(sK5) = X0
| sP1 ),
inference(subsumption_resolution,[],[f99,f86]) ).
fof(f99,plain,
! [X0] :
( sK7(sK5) = X0
| ~ rp(sK5,X0)
| ~ cc(sK5)
| sP1 ),
inference(resolution,[],[f64,f87]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ rp(X0,X2)
| X1 = X2
| ~ rp(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
| ~ cc(X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( cc(X0)
=> ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3] :
( cc(X3)
=> ! [X4,X5] :
( ( rp(X3,X5)
& rp(X3,X4) )
=> X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f118,plain,
( sK3(sK5) = sK7(sK5)
| ~ xsd_integer(sK2) ),
inference(resolution,[],[f114,f66]) ).
fof(f114,plain,
( xsd_string(sK2)
| sK3(sK5) = sK7(sK5) ),
inference(subsumption_resolution,[],[f113,f108]) ).
fof(f113,plain,
( sK3(sK5) = sK7(sK5)
| xsd_string(sK2)
| ~ sP1 ),
inference(resolution,[],[f111,f55]) ).
fof(f55,plain,
( ~ xsd_integer(sK2)
| xsd_string(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f123,plain,
sK4(sK5) = sK7(sK5),
inference(subsumption_resolution,[],[f122,f112]) ).
fof(f112,plain,
( xsd_integer(sK2)
| sK4(sK5) = sK7(sK5) ),
inference(resolution,[],[f109,f84]) ).
fof(f109,plain,
( sP1
| sK4(sK5) = sK7(sK5) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f106,plain,
( sK4(sK5) = sK7(sK5)
| sP1
| sP1 ),
inference(resolution,[],[f102,f93]) ).
fof(f93,plain,
( rp(sK5,sK4(sK5))
| sP1 ),
inference(resolution,[],[f91,f58]) ).
fof(f58,plain,
! [X0] :
( ~ sP0(X0)
| rp(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f122,plain,
( sK4(sK5) = sK7(sK5)
| ~ xsd_integer(sK2) ),
inference(resolution,[],[f116,f66]) ).
fof(f116,plain,
( xsd_string(sK2)
| sK4(sK5) = sK7(sK5) ),
inference(subsumption_resolution,[],[f115,f109]) ).
fof(f115,plain,
( sK4(sK5) = sK7(sK5)
| xsd_string(sK2)
| ~ sP1 ),
inference(resolution,[],[f112,f55]) ).
fof(f134,plain,
xsd_string(sK2),
inference(unit_resulting_resolution,[],[f125,f130,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS143+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 21:56:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (24341)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (24346)WARNING: value z3 for option sas not known
% 0.14/0.37 % (24345)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (24347)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (24348)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)
% 0.14/0.37 % (24349)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)
% 0.14/0.37 % (24350)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)
% 0.14/0.37 % (24346)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (24344)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (24350)First to succeed.
% 0.14/0.38 % (24348)Also succeeded, but the first one will report.
% 0.14/0.38 % (24347)Also succeeded, but the first one will report.
% 0.14/0.38 % (24350)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24341"
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (24346)Also succeeded, but the first one will report.
% 0.14/0.38 % (24350)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (24350)------------------------------
% 0.14/0.38 % (24350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (24350)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (24350)Memory used [KB]: 770
% 0.14/0.38 % (24350)Time elapsed: 0.006 s
% 0.14/0.38 % (24350)Instructions burned: 6 (million)
% 0.14/0.38 % (24341)Success in time 0.02 s
%------------------------------------------------------------------------------