TSTP Solution File: KRS121+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n002.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 17:30:52 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 7 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 48 ~; 42 |; 11 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 71 ( 63 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233,plain,
$false,
inference(resolution,[],[f232,f162]) ).
fof(f162,plain,
cp1(i2003_11_14_17_21_5199),
inference(resolution,[],[f118,f113]) ).
fof(f113,plain,
cUnsatisfiable(i2003_11_14_17_21_5199),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_5199),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f118,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( ? [X1] :
( rr(X0,X1)
& ca_Vx3(X1) )
& cp1(X0) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( cp1(X3)
& ? [X4] :
( rr(X3,X4)
& ca_Vx3(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f232,plain,
~ cp1(i2003_11_14_17_21_5199),
inference(resolution,[],[f231,f168]) ).
fof(f168,plain,
! [X1] :
( ~ cp1xcomp(X1)
| ~ cp1(X1) ),
inference(resolution,[],[f112,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ ? [X1] : ra_Px1(X0,X1)
<=> cp1(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3] :
( ~ ? [X4] : ra_Px1(X3,X4)
<=> cp1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f112,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cp1xcomp(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> cp1xcomp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f231,plain,
cp1xcomp(i2003_11_14_17_21_5199),
inference(resolution,[],[f230,f182]) ).
fof(f182,plain,
! [X0] :
( ~ ca_Vx3(X0)
| cp1xcomp(X0) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f181,plain,
! [X0] :
( cp1xcomp(X0)
| ~ ca_Vx3(X0)
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f175,f132]) ).
fof(f132,plain,
! [X0] :
( ca_Ax2(sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( rr(X0,X1)
& ca_Ax2(X1) )
<=> ca_Vx3(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ? [X4] :
( rr(X3,X4)
& ca_Ax2(X4) )
<=> ca_Vx3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f175,plain,
! [X1] :
( ~ ca_Ax2(sK4(X1))
| ~ ca_Vx3(X1)
| cp1xcomp(X1) ),
inference(resolution,[],[f120,f171]) ).
fof(f171,plain,
! [X0] :
( rinvR(sK4(X0),X0)
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f133,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( rr(X1,X0)
<=> rinvR(X0,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f133,plain,
! [X0] :
( rr(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f120,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| ~ ca_Ax2(X0)
| cp1xcomp(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ! [X1] :
( ~ rinvR(X0,X1)
| cp1xcomp(X1) )
& cp1(X0) )
<=> ca_Ax2(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cp1(X0)
& ! [X1] :
( rinvR(X0,X1)
=> cp1xcomp(X1) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( ca_Ax2(X3)
<=> ( ! [X4] :
( rinvR(X3,X4)
=> cp1xcomp(X4) )
& cp1(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f230,plain,
ca_Vx3(i2003_11_14_17_21_5199),
inference(resolution,[],[f229,f113]) ).
fof(f229,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ca_Vx3(X0)
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f227,f115]) ).
fof(f115,plain,
! [X0] :
( ca_Vx3(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f227,plain,
! [X0] :
( ~ ca_Vx3(sK2(X0))
| ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ ca_Vx3(sK2(X0))
| ~ ca_Vx3(sK2(X0))
| ca_Vx3(X0) ),
inference(resolution,[],[f210,f132]) ).
fof(f210,plain,
! [X0] :
( ~ ca_Ax2(sK4(sK2(X0)))
| ~ ca_Vx3(sK2(X0))
| ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(resolution,[],[f199,f116]) ).
fof(f116,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f199,plain,
! [X6,X5] :
( ~ rr(X6,X5)
| ~ ca_Vx3(X5)
| ca_Vx3(X6)
| ~ ca_Ax2(sK4(X5)) ),
inference(resolution,[],[f188,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ ca_Ax2(X1)
| ca_Vx3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f188,plain,
! [X2,X3] :
( rr(X2,sK4(X3))
| ~ ca_Vx3(X3)
| ~ rr(X2,X3) ),
inference(resolution,[],[f106,f133]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ rr(X2,X0)
| rr(X1,X0)
| ~ rr(X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ rr(X2,X0)
| ~ rr(X1,X2)
| rr(X1,X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X2,X1,X0] :
( rr(X1,X0)
| ~ rr(X1,X2)
| ~ rr(X2,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X2,X1,X0] :
( ( rr(X1,X2)
& rr(X2,X0) )
=> rr(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X6,X3,X4] :
( ( rr(X4,X6)
& rr(X3,X4) )
=> rr(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:46:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.52 % (859)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (857)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)
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.52 TRYING [3]
% 0.21/0.53 % (884)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (858)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)
% 0.21/0.53 % (860)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (858)Refutation not found, incomplete strategy% (858)------------------------------
% 0.21/0.53 % (858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (858)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (858)Memory used [KB]: 5500
% 0.21/0.53 % (858)Time elapsed: 0.121 s
% 0.21/0.53 % (858)Instructions burned: 3 (million)
% 0.21/0.53 % (858)------------------------------
% 0.21/0.53 % (858)------------------------------
% 0.21/0.53 % (881)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)
% 0.21/0.53 % (860)First to succeed.
% 0.21/0.53 % (871)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (861)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (860)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (860)------------------------------
% 0.21/0.53 % (860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (860)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (860)Memory used [KB]: 5500
% 0.21/0.53 % (860)Time elapsed: 0.124 s
% 0.21/0.53 % (860)Instructions burned: 5 (million)
% 0.21/0.53 % (860)------------------------------
% 0.21/0.53 % (860)------------------------------
% 0.21/0.53 % (855)Success in time 0.18 s
%------------------------------------------------------------------------------