TSTP Solution File: CSR023+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CSR023+1 : TPTP v8.1.0. Bugfixed 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 : n010.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 15:58:33 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 17 unt; 0 def)
% Number of atoms : 229 ( 104 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 258 ( 84 ~; 90 |; 72 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f722,plain,
$false,
inference(subsumption_resolution,[],[f720,f301]) ).
fof(f301,plain,
~ holdsAt(spinning,n3),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
~ holdsAt(spinning,n3),
inference(flattening,[],[f49]) ).
fof(f49,negated_conjecture,
~ holdsAt(spinning,n3),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
holdsAt(spinning,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',spinning_3) ).
fof(f720,plain,
holdsAt(spinning,n3),
inference(resolution,[],[f609,f491]) ).
fof(f491,plain,
initiates(pull,spinning,n2),
inference(resolution,[],[f264,f431]) ).
fof(f431,plain,
sP2(spinning,n2,pull),
inference(resolution,[],[f315,f347]) ).
fof(f347,plain,
happens(push,n2),
inference(resolution,[],[f204,f307]) ).
fof(f307,plain,
sP1(n2,push),
inference(equality_resolution,[],[f306]) ).
fof(f306,plain,
! [X1] :
( sP1(n2,X1)
| push != X1 ),
inference(equality_resolution,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( sP1(X0,X1)
| n2 != X0
| push != X1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( n0 != X0
| push != X1 )
& ( pull != X1
| n2 != X0 )
& ( n2 != X0
| push != X1 )
& ~ sP0(X1,X0) ) )
& ( ( n0 = X0
& push = X1 )
| ( pull = X1
& n2 = X0 )
| ( n2 = X0
& push = X1 )
| sP0(X1,X0)
| ~ sP1(X0,X1) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( n0 != X0
| push != X1 )
& ( pull != X1
| n2 != X0 )
& ( n2 != X0
| push != X1 )
& ~ sP0(X1,X0) ) )
& ( ( n0 = X0
& push = X1 )
| ( pull = X1
& n2 = X0 )
| ( n2 = X0
& push = X1 )
| sP0(X1,X0)
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ( ( n0 = X0
& push = X1 )
| ( pull = X1
& n2 = X0 )
| ( n2 = X0
& push = X1 )
| sP0(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f204,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ happens(X0,X1) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X1,X0] :
( ( happens(X1,X0)
| ~ sP1(X0,X1) )
& ( sP1(X0,X1)
| ~ happens(X1,X0) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( happens(X1,X0)
<=> sP1(X0,X1) ),
inference(definition_folding,[],[f51,f105,f104]) ).
fof(f104,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( pull = X1
& n1 = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f51,plain,
! [X1,X0] :
( happens(X1,X0)
<=> ( ( n0 = X0
& push = X1 )
| ( pull = X1
& n2 = X0 )
| ( n2 = X0
& push = X1 )
| ( pull = X1
& n1 = X0 ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X3] :
( happens(X3,X4)
<=> ( ( n1 = X4
& pull = X3 )
| ( push = X3
& n0 = X4 )
| ( pull = X3
& n2 = X4 )
| ( push = X3
& n2 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f315,plain,
! [X1] :
( ~ happens(push,X1)
| sP2(spinning,X1,pull) ),
inference(equality_resolution,[],[f314]) ).
fof(f314,plain,
! [X2,X1] :
( sP2(spinning,X1,X2)
| ~ happens(push,X1)
| pull != X2 ),
inference(equality_resolution,[],[f260]) ).
fof(f260,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| spinning != X0
| ~ happens(push,X1)
| pull != X2 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| spinning != X0
| ~ happens(push,X1)
| pull != X2 )
& ( ( spinning = X0
& happens(push,X1)
& pull = X2 )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| spinning != X1
| ~ happens(push,X0)
| pull != X2 )
& ( ( spinning = X1
& happens(push,X0)
& pull = X2 )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| spinning != X1
| ~ happens(push,X0)
| pull != X2 )
& ( ( spinning = X1
& happens(push,X0)
& pull = X2 )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ( spinning = X1
& happens(push,X0)
& pull = X2 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X2,X1)
| initiates(X1,X0,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ( initiates(X1,X0,X2)
| ( ( happens(pull,X2)
| push != X1
| forwards != X0 )
& ~ sP3(X1,X2,X0)
& ~ sP2(X0,X2,X1) ) )
& ( ( ~ happens(pull,X2)
& push = X1
& forwards = X0 )
| sP3(X1,X2,X0)
| sP2(X0,X2,X1)
| ~ initiates(X1,X0,X2) ) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X1,X2,X0] :
( ( initiates(X2,X1,X0)
| ( ( happens(pull,X0)
| push != X2
| forwards != X1 )
& ~ sP3(X2,X0,X1)
& ~ sP2(X1,X0,X2) ) )
& ( ( ~ happens(pull,X0)
& push = X2
& forwards = X1 )
| sP3(X2,X0,X1)
| sP2(X1,X0,X2)
| ~ initiates(X2,X1,X0) ) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X1,X2,X0] :
( ( initiates(X2,X1,X0)
| ( ( happens(pull,X0)
| push != X2
| forwards != X1 )
& ~ sP3(X2,X0,X1)
& ~ sP2(X1,X0,X2) ) )
& ( ( ~ happens(pull,X0)
& push = X2
& forwards = X1 )
| sP3(X2,X0,X1)
| sP2(X1,X0,X2)
| ~ initiates(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X1,X2,X0] :
( initiates(X2,X1,X0)
<=> ( ( ~ happens(pull,X0)
& push = X2
& forwards = X1 )
| sP3(X2,X0,X1)
| sP2(X1,X0,X2) ) ),
inference(definition_folding,[],[f60,f108,f107]) ).
fof(f108,plain,
! [X2,X0,X1] :
( sP3(X2,X0,X1)
<=> ( pull = X2
& ~ happens(push,X0)
& backwards = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f60,plain,
! [X1,X2,X0] :
( initiates(X2,X1,X0)
<=> ( ( ~ happens(pull,X0)
& push = X2
& forwards = X1 )
| ( pull = X2
& ~ happens(push,X0)
& backwards = X1 )
| ( spinning = X1
& happens(push,X0)
& pull = X2 ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X1,X3] :
( ( ( pull = X3
& backwards = X1
& ~ happens(push,X4) )
| ( forwards = X1
& push = X3
& ~ happens(pull,X4) )
| ( spinning = X1
& pull = X3
& happens(push,X4) ) )
<=> initiates(X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f609,plain,
! [X2] :
( ~ initiates(pull,X2,n2)
| holdsAt(X2,n3) ),
inference(forward_demodulation,[],[f608,f242]) ).
fof(f242,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
n3 = plus(n1,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(f608,plain,
! [X2] :
( ~ initiates(pull,X2,n2)
| holdsAt(X2,plus(n1,n2)) ),
inference(forward_demodulation,[],[f604,f215]) ).
fof(f215,plain,
! [X0,X1] : plus(X1,X0) = plus(X0,X1),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] : plus(X1,X0) = plus(X0,X1),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X8,X9] : plus(X8,X9) = plus(X9,X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f604,plain,
! [X2] :
( holdsAt(X2,plus(n2,n1))
| ~ initiates(pull,X2,n2) ),
inference(resolution,[],[f228,f346]) ).
fof(f346,plain,
happens(pull,n2),
inference(resolution,[],[f204,f305]) ).
fof(f305,plain,
sP1(n2,pull),
inference(equality_resolution,[],[f304]) ).
fof(f304,plain,
! [X0] :
( sP1(X0,pull)
| n2 != X0 ),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( sP1(X0,X1)
| pull != X1
| n2 != X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ happens(X0,X2)
| holdsAt(X1,plus(X2,n1))
| ~ initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ~ initiates(X0,X1,X2)
| holdsAt(X1,plus(X2,n1))
| ~ happens(X0,X2) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ initiates(X2,X0,X1)
| holdsAt(X0,plus(X1,n1))
| ~ happens(X2,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X2,X1,X0] :
( holdsAt(X0,plus(X1,n1))
| ~ happens(X2,X1)
| ~ initiates(X2,X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X2,X1,X0] :
( ( happens(X2,X1)
& initiates(X2,X0,X1) )
=> holdsAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X4,X3] :
( ( happens(X3,X4)
& initiates(X3,X1,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : CSR023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 17:33:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.50 % (9536)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)
% 0.19/0.50 % (9528)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (9520)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (9539)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)
% 0.19/0.51 % (9518)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (9514)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)
% 0.19/0.51 % (9516)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (9520)Instruction limit reached!
% 0.19/0.52 % (9520)------------------------------
% 0.19/0.52 % (9520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9520)Termination reason: Unknown
% 0.19/0.52 % (9520)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (9520)Memory used [KB]: 5628
% 0.19/0.52 % (9520)Time elapsed: 0.075 s
% 0.19/0.52 % (9520)Instructions burned: 7 (million)
% 0.19/0.52 % (9520)------------------------------
% 0.19/0.52 % (9520)------------------------------
% 0.19/0.52 % (9513)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)
% 0.19/0.52 % (9512)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)
% 0.19/0.52 % (9529)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (9515)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)
% 0.19/0.52 % (9534)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (9526)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (9531)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (9528)First to succeed.
% 0.19/0.53 % (9541)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (9528)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (9528)------------------------------
% 0.19/0.53 % (9528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9528)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (9528)Memory used [KB]: 1279
% 0.19/0.53 % (9528)Time elapsed: 0.088 s
% 0.19/0.53 % (9528)Instructions burned: 19 (million)
% 0.19/0.53 % (9528)------------------------------
% 0.19/0.53 % (9528)------------------------------
% 0.19/0.53 % (9508)Success in time 0.194 s
%------------------------------------------------------------------------------