TSTP Solution File: KRS110+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS110+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_uns --cores 0 -t %d %s
% Computer : n004.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 17:29:43 EDT 2022
% Result : Unsatisfiable 1.67s 0.58s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 4 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 203 ( 73 ~; 63 |; 50 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 93 ( 66 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f259,plain,
$false,
inference(resolution,[],[f257,f190]) ).
fof(f190,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
cUnsatisfiable(i2003_11_14_17_21_12565),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f257,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f255,f239]) ).
fof(f239,plain,
! [X0] :
( cp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f171,f180]) ).
fof(f180,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cp(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp(X0)
| ! [X1] :
( ~ rinvS(X0,X1)
| ~ cp(X1) ) )
& ( ( cp(X0)
& rinvS(X0,sK2(X0))
& cp(sK2(X0)) )
| ~ ca_Ax2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f136,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X2] :
( rinvS(X0,X2)
& cp(X2) )
=> ( rinvS(X0,sK2(X0))
& cp(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp(X0)
| ! [X1] :
( ~ rinvS(X0,X1)
| ~ cp(X1) ) )
& ( ( cp(X0)
& ? [X2] :
( rinvS(X0,X2)
& cp(X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp(X0)
| ! [X1] :
( ~ rinvS(X0,X1)
| ~ cp(X1) ) )
& ( ( cp(X0)
& ? [X1] :
( rinvS(X0,X1)
& cp(X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp(X0)
| ! [X1] :
( ~ rinvS(X0,X1)
| ~ cp(X1) ) )
& ( ( cp(X0)
& ? [X1] :
( rinvS(X0,X1)
& cp(X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cp(X0)
& ? [X1] :
( rinvS(X0,X1)
& cp(X1) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3] :
( ( cp(X3)
& ? [X4] :
( cp(X4)
& rinvS(X3,X4) ) )
<=> ca_Ax2(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f171,plain,
! [X0] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rs(X0,X1)
| cpxcomp(X1) )
& rs(X0,sK0(X0))
& ca_Ax2(sK0(X0)) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ( rs(X0,sK1(X0))
& ~ cpxcomp(sK1(X0)) )
| ! [X4] :
( ~ rs(X0,X4)
| ~ ca_Ax2(X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f127,f129,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X2] :
( rs(X0,X2)
& ca_Ax2(X2) )
=> ( rs(X0,sK0(X0))
& ca_Ax2(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X3] :
( rs(X0,X3)
& ~ cpxcomp(X3) )
=> ( rs(X0,sK1(X0))
& ~ cpxcomp(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rs(X0,X1)
| cpxcomp(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax2(X2) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ? [X3] :
( rs(X0,X3)
& ~ cpxcomp(X3) )
| ! [X4] :
( ~ rs(X0,X4)
| ~ ca_Ax2(X4) ) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rs(X0,X1)
| cpxcomp(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax2(X2) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ? [X1] :
( rs(X0,X1)
& ~ cpxcomp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax2(X2) ) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( ( ! [X1] :
( ~ rs(X0,X1)
| cpxcomp(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax2(X2) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ? [X1] :
( rs(X0,X1)
& ~ cpxcomp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax2(X2) ) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( ! [X1] :
( ~ rs(X0,X1)
| cpxcomp(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax2(X2) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( ? [X2] :
( rs(X0,X2)
& ca_Ax2(X2) )
& ! [X1] :
( rs(X0,X1)
=> cpxcomp(X1) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3] :
( ( ! [X4] :
( rs(X3,X4)
=> cpxcomp(X4) )
& ? [X4] :
( rs(X3,X4)
& ca_Ax2(X4) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f255,plain,
! [X0] :
( ~ cp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f251,f242]) ).
fof(f242,plain,
! [X0] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(resolution,[],[f185,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) )
& ( cp(X0)
| ra_Px1(X0,sK4(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f149,f150]) ).
fof(f150,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) )
& ( cp(X0)
| ? [X2] : ra_Px1(X0,X2) ) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) )
& ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
<=> cp(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ~ ? [X4] : ra_Px1(X3,X4)
<=> cp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f185,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f142,f143]) ).
fof(f143,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> cpxcomp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f251,plain,
! [X0] :
( cpxcomp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f250,plain,
! [X0] :
( cpxcomp(sK0(X0))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f173,f172]) ).
fof(f172,plain,
! [X0] :
( rs(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f173,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| cpxcomp(X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS110+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:30:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.54 % (8906)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.41/0.56 % (8929)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.41/0.56 % (8906)Refutation not found, incomplete strategy% (8906)------------------------------
% 1.41/0.56 % (8906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (8906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (8906)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.56
% 1.41/0.56 % (8906)Memory used [KB]: 5884
% 1.41/0.56 % (8906)Time elapsed: 0.003 s
% 1.41/0.56 % (8906)Instructions burned: 1 (million)
% 1.41/0.56 % (8906)------------------------------
% 1.41/0.56 % (8906)------------------------------
% 1.41/0.56 % (8901)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.41/0.56 % (8901)Refutation not found, incomplete strategy% (8901)------------------------------
% 1.41/0.56 % (8901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (8901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (8901)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.56
% 1.41/0.56 % (8901)Memory used [KB]: 5884
% 1.41/0.56 % (8901)Time elapsed: 0.003 s
% 1.41/0.56 % (8901)Instructions burned: 2 (million)
% 1.41/0.56 % (8901)------------------------------
% 1.41/0.56 % (8901)------------------------------
% 1.41/0.57 % (8914)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.57 % (8929)Refutation not found, incomplete strategy% (8929)------------------------------
% 1.41/0.57 % (8929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57 % (8929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (8929)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.57
% 1.41/0.57 % (8929)Memory used [KB]: 5884
% 1.41/0.57 % (8929)Time elapsed: 0.003 s
% 1.41/0.57 % (8929)Instructions burned: 1 (million)
% 1.41/0.57 % (8929)------------------------------
% 1.41/0.57 % (8929)------------------------------
% 1.41/0.57 % (8922)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.67/0.57 % (8922)First to succeed.
% 1.67/0.58 % (8909)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.67/0.58 % (8914)Instruction limit reached!
% 1.67/0.58 % (8914)------------------------------
% 1.67/0.58 % (8914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (8914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (8914)Termination reason: Unknown
% 1.67/0.58 % (8914)Termination phase: Saturation
% 1.67/0.58
% 1.67/0.58 % (8914)Memory used [KB]: 1535
% 1.67/0.58 % (8914)Time elapsed: 0.005 s
% 1.67/0.58 % (8914)Instructions burned: 3 (million)
% 1.67/0.58 % (8914)------------------------------
% 1.67/0.58 % (8914)------------------------------
% 1.67/0.58 % (8922)Refutation found. Thanks to Tanya!
% 1.67/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.58 % (8922)------------------------------
% 1.67/0.58 % (8922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (8922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (8922)Termination reason: Refutation
% 1.67/0.58
% 1.67/0.58 % (8922)Memory used [KB]: 6012
% 1.67/0.58 % (8922)Time elapsed: 0.149 s
% 1.67/0.58 % (8922)Instructions burned: 3 (million)
% 1.67/0.58 % (8922)------------------------------
% 1.67/0.58 % (8922)------------------------------
% 1.67/0.58 % (8899)Success in time 0.218 s
%------------------------------------------------------------------------------