TSTP Solution File: KRS085+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS085+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 : n007.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 23:21:55 EDT 2024
% Result : Unsatisfiable 0.25s 0.42s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 4 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 195 ( 72 ~; 59 |; 50 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 93 ( 74 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(resolution,[],[f161,f76]) ).
fof(f76,plain,
cUnsatisfiable(i2003_11_14_17_19_39537),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_39537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f161,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(subsumption_resolution,[],[f160,f89]) ).
fof(f89,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ~ sP0(X0) )
& ( ( cp1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ~ sP0(X0) )
& ( ( cp1(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& sP0(X0) ) ),
inference(definition_folding,[],[f32,f63]) ).
fof(f63,plain,
! [X0] :
( sP0(X0)
<=> ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) )
& rr(X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f32,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) )
& rr(X0,X1) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( ? [X2] :
( ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) )
& cp1(X2)
& rr(X1,X2) )
& rr(X0,X1) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp1(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( rinvR(X5,X6)
=> ~ cp1(X6) )
& cp1(X5)
& rr(X4,X5) )
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f160,plain,
! [X0] :
( ~ cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f159,f88]) ).
fof(f88,plain,
! [X0] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f159,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp1(X0) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp1(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f155,f85]) ).
fof(f85,plain,
! [X0,X6] :
( ~ rinvR(sK3(X0),X6)
| ~ cp1(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ! [X2] :
( ( cp1(sK1(X2))
& rinvR(X2,sK1(X2)) )
| ~ cp1(X2)
| ~ rr(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ( ! [X6] :
( ~ cp1(X6)
| ~ rinvR(sK3(X0),X6) )
& cp1(sK3(X0))
& rr(sK2(X0),sK3(X0))
& rr(X0,sK2(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f67,f70,f69,f68]) ).
fof(f68,plain,
! [X2] :
( ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
=> ( cp1(sK1(X2))
& rinvR(X2,sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ cp1(X6)
| ~ rinvR(X5,X6) )
& cp1(X5)
& rr(X4,X5) )
& rr(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ cp1(X6)
| ~ rinvR(X5,X6) )
& cp1(X5)
& rr(sK2(X0),X5) )
& rr(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ cp1(X6)
| ~ rinvR(X5,X6) )
& cp1(X5)
& rr(sK2(X0),X5) )
=> ( ! [X6] :
( ~ cp1(X6)
| ~ rinvR(sK3(X0),X6) )
& cp1(sK3(X0))
& rr(sK2(X0),sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2)
| ~ rr(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ cp1(X6)
| ~ rinvR(X5,X6) )
& cp1(X5)
& rr(X4,X5) )
& rr(X0,X4) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2)
| ~ rr(X1,X2) )
| ~ rr(X0,X1) ) )
& ( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2)
& rr(X1,X2) )
& rr(X0,X1) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f155,plain,
! [X0] :
( rinvR(sK3(X0),X0)
| ~ sP0(X0) ),
inference(resolution,[],[f146,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f146,plain,
! [X0] :
( rr(X0,sK3(X0))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
! [X0] :
( rr(X0,sK3(X0))
| ~ sP0(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f139,f130]) ).
fof(f130,plain,
! [X0] :
( rinvR(sK3(X0),sK2(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f83,f100]) ).
fof(f83,plain,
! [X0] :
( rr(sK2(X0),sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f139,plain,
! [X0,X1] :
( ~ rinvR(X1,sK2(X0))
| rr(X0,X1)
| ~ sP0(X0) ),
inference(resolution,[],[f135,f82]) ).
fof(f82,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ rr(X0,X2)
| rr(X0,X1)
| ~ rinvR(X1,X2) ),
inference(resolution,[],[f109,f99]) ).
fof(f99,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ rr(X1,X2)
| rr(X0,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( rr(X1,X2)
& rr(X0,X1) )
=> rr(X0,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4,X5] :
( ( rr(X4,X5)
& rr(X3,X4) )
=> rr(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : KRS085+1 : TPTP v8.2.0. Released v3.1.0.
% 0.09/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38 % Computer : n007.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sat May 18 22:05:38 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.39 % (29779)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.41 % (29782)WARNING: value z3 for option sas not known
% 0.25/0.41 % (29780)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.25/0.41 % (29782)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)
% 0.25/0.41 % (29784)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)
% 0.25/0.41 % (29781)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.25/0.41 TRYING [1]
% 0.25/0.41 TRYING [2]
% 0.25/0.41 TRYING [3]
% 0.25/0.41 TRYING [4]
% 0.25/0.41 TRYING [1]
% 0.25/0.41 TRYING [2]
% 0.25/0.41 TRYING [3]
% 0.25/0.41 TRYING [5]
% 0.25/0.41 % (29782)First to succeed.
% 0.25/0.41 % (29783)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.25/0.41 TRYING [4]
% 0.25/0.41 % (29782)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29779"
% 0.25/0.42 TRYING [6]
% 0.25/0.42 TRYING [1]
% 0.25/0.42 % (29782)Refutation found. Thanks to Tanya!
% 0.25/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.42 % (29782)------------------------------
% 0.25/0.42 % (29782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.25/0.42 % (29782)Termination reason: Refutation
% 0.25/0.42
% 0.25/0.42 % (29782)Memory used [KB]: 845
% 0.25/0.42 % (29782)Time elapsed: 0.009 s
% 0.25/0.42 % (29782)Instructions burned: 7 (million)
% 0.25/0.42 % (29779)Success in time 0.004 s
%------------------------------------------------------------------------------