TSTP Solution File: KRS086+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS086+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 07:19:29 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 132 ( 11 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 153 ( 57 ~; 43 |; 42 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 75 ( 54 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(resolution,[],[f146,f71]) ).
fof(f71,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f146,plain,
~ cUnsatisfiable(i2003_11_14_17_19_42328),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_42328)
| ~ cUnsatisfiable(i2003_11_14_17_19_42328) ),
inference(resolution,[],[f143,f81]) ).
fof(f81,plain,
! [X0] :
( cp1(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp1(X1)
| ! [X2] :
( ! [X3] :
( cp1(X3)
| ~ rf(X2,X3) )
| ~ rinvF(X1,X2) )
| ~ rf(X0,X1) ) )
& ( ( cp1(sK0(X0))
& ~ cp1(sK2(X0))
& rf(sK1(X0),sK2(X0))
& rinvF(sK0(X0),sK1(X0))
& rf(X0,sK0(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f64,f67,f66,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X4] :
( cp1(X4)
& ? [X5] :
( ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) )
& rinvF(X4,X5) )
& rf(X0,X4) )
=> ( cp1(sK0(X0))
& ? [X5] :
( ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) )
& rinvF(sK0(X0),X5) )
& rf(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ? [X5] :
( ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) )
& rinvF(sK0(X0),X5) )
=> ( ? [X6] :
( ~ cp1(X6)
& rf(sK1(X0),X6) )
& rinvF(sK0(X0),sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ? [X6] :
( ~ cp1(X6)
& rf(sK1(X0),X6) )
=> ( ~ cp1(sK2(X0))
& rf(sK1(X0),sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp1(X1)
| ! [X2] :
( ! [X3] :
( cp1(X3)
| ~ rf(X2,X3) )
| ~ rinvF(X1,X2) )
| ~ rf(X0,X1) ) )
& ( ? [X4] :
( cp1(X4)
& ? [X5] :
( ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) )
& rinvF(X4,X5) )
& rf(X0,X4) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ cp1(X1)
| ! [X2] :
( ! [X3] :
( cp1(X3)
| ~ rf(X2,X3) )
| ~ rinvF(X1,X2) )
| ~ rf(X0,X1) ) )
& ( ? [X1] :
( cp1(X1)
& ? [X2] :
( ? [X3] :
( ~ cp1(X3)
& rf(X2,X3) )
& rinvF(X1,X2) )
& rf(X0,X1) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( cp1(X1)
& ? [X2] :
( ? [X3] :
( ~ cp1(X3)
& rf(X2,X3) )
& rinvF(X1,X2) )
& rf(X0,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ? [X4] :
( cp1(X4)
& ? [X5] :
( ? [X6] :
( ~ cp1(X6)
& rf(X5,X6) )
& rinvF(X4,X5) )
& rf(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f143,plain,
( ~ cp1(sK0(i2003_11_14_17_19_42328))
| ~ cUnsatisfiable(i2003_11_14_17_19_42328) ),
inference(superposition,[],[f80,f138]) ).
fof(f138,plain,
sK0(i2003_11_14_17_19_42328) = sK2(i2003_11_14_17_19_42328),
inference(resolution,[],[f137,f71]) ).
fof(f137,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_42328)
| sK0(i2003_11_14_17_19_42328) = sK2(i2003_11_14_17_19_42328) ),
inference(resolution,[],[f135,f78]) ).
fof(f78,plain,
! [X0] :
( rinvF(sK0(X0),sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f135,plain,
! [X0] :
( ~ rinvF(X0,sK1(i2003_11_14_17_19_42328))
| sK2(i2003_11_14_17_19_42328) = X0 ),
inference(resolution,[],[f132,f91]) ).
fof(f91,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f132,plain,
! [X0] :
( ~ rf(sK1(i2003_11_14_17_19_42328),X0)
| sK2(i2003_11_14_17_19_42328) = X0 ),
inference(resolution,[],[f120,f71]) ).
fof(f120,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| sK2(X0) = X1
| ~ rf(sK1(X0),X1) ),
inference(resolution,[],[f117,f79]) ).
fof(f79,plain,
! [X0] :
( rf(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(resolution,[],[f74,f72]) ).
fof(f72,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X7,X8] :
( ( rf(X3,X8)
& rf(X3,X7) )
=> X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f80,plain,
! [X0] :
( ~ cp1(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS086+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:53:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8045)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8048)WARNING: value z3 for option sas not known
% 0.15/0.38 % (8049)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (8051)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 % (8047)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 % (8050)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 % (8046)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (8048)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 % (8052)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 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 % (8051)First to succeed.
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (8051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8045"
% 0.15/0.38 % (8048)Also succeeded, but the first one will report.
% 0.15/0.38 % (8052)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (8051)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (8051)------------------------------
% 0.15/0.38 % (8051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (8051)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (8051)Memory used [KB]: 849
% 0.15/0.38 % (8051)Time elapsed: 0.006 s
% 0.15/0.38 % (8051)Instructions burned: 6 (million)
% 0.15/0.38 % (8045)Success in time 0.022 s
%------------------------------------------------------------------------------