TSTP Solution File: SWV388+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV388+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n012.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 18:56:41 EDT 2022
% Result : Theorem 1.20s 0.53s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 48 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 29 ~; 7 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 24 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f234,plain,
$false,
inference(subsumption_resolution,[],[f233,f204]) ).
fof(f204,plain,
check_cpq(sF4),
inference(definition_folding,[],[f166,f203,f201]) ).
fof(f201,plain,
sF3 = triple(sK0,sK1,sK2),
introduced(function_definition,[]) ).
fof(f203,plain,
findmin_cpq_eff(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f166,plain,
check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
& check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f125,f126]) ).
fof(f126,plain,
( ? [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
& check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ok(findmin_cpq_eff(triple(X0,X1,X2))) )
=> ( ~ check_cpq(triple(sK0,sK1,sK2))
& check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
& check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
? [X2,X1,X0] :
( ~ check_cpq(triple(X2,X1,X0))
& check_cpq(findmin_cpq_eff(triple(X2,X1,X0)))
& ok(findmin_cpq_eff(triple(X2,X1,X0))) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
? [X0,X2,X1] :
( check_cpq(findmin_cpq_eff(triple(X2,X1,X0)))
& ok(findmin_cpq_eff(triple(X2,X1,X0)))
& ~ check_cpq(triple(X2,X1,X0)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
~ ! [X0,X2,X1] :
( ~ check_cpq(triple(X2,X1,X0))
=> ( ~ check_cpq(findmin_cpq_eff(triple(X2,X1,X0)))
| ~ ok(findmin_cpq_eff(triple(X2,X1,X0))) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X2,X1,X0] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X2,X1,X0] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_co) ).
fof(f233,plain,
~ check_cpq(sF4),
inference(forward_demodulation,[],[f232,f203]) ).
fof(f232,plain,
~ check_cpq(findmin_cpq_eff(sF3)),
inference(subsumption_resolution,[],[f230,f202]) ).
fof(f202,plain,
~ check_cpq(sF3),
inference(definition_folding,[],[f167,f201]) ).
fof(f167,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f127]) ).
fof(f230,plain,
( check_cpq(sF3)
| ~ check_cpq(findmin_cpq_eff(sF3)) ),
inference(superposition,[],[f172,f201]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X0)))
| check_cpq(triple(X1,X2,X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X0)))
| check_cpq(triple(X1,X2,X0)) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X2,X0] :
( ~ check_cpq(findmin_cpq_eff(triple(X2,X0,X1)))
| check_cpq(triple(X2,X0,X1)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ check_cpq(triple(X2,X0,X1))
=> ~ check_cpq(findmin_cpq_eff(triple(X2,X0,X1))) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X2,X0] :
( ~ check_cpq(triple(X0,X1,X2))
=> ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_l34) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV388+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:20:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (5534)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)
% 1.20/0.52 % (5545)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)
% 1.20/0.52 % (5541)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.20/0.52 % (5528)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.20/0.52 % (5534)First to succeed.
% 1.20/0.53 % (5531)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.20/0.53 % (5530)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.20/0.53 % (5520)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)
% 1.20/0.53 % (5526)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.20/0.53 % (5543)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.20/0.53 % (5542)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)
% 1.20/0.53 % (5540)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.20/0.53 % (5521)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)
% 1.20/0.53 % (5533)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)
% 1.20/0.53 % (5519)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)
% 1.20/0.53 % (5522)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)
% 1.20/0.53 % (5534)Refutation found. Thanks to Tanya!
% 1.20/0.53 % SZS status Theorem for theBenchmark
% 1.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.20/0.53 % (5534)------------------------------
% 1.20/0.53 % (5534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.53 % (5534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.53 % (5534)Termination reason: Refutation
% 1.20/0.53
% 1.20/0.53 % (5534)Memory used [KB]: 1151
% 1.20/0.53 % (5534)Time elapsed: 0.114 s
% 1.20/0.53 % (5534)Instructions burned: 6 (million)
% 1.20/0.53 % (5534)------------------------------
% 1.20/0.53 % (5534)------------------------------
% 1.20/0.53 % (5518)Success in time 0.174 s
%------------------------------------------------------------------------------