TSTP Solution File: SWV187+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV187+1 : TPTP v8.1.0. Bugfixed 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 : n015.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 18:55:45 EDT 2022
% Result : Theorem 1.65s 0.59s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 189 ( 49 equ)
% Maximal formula atoms : 24 ( 11 avg)
% Number of connectives : 247 ( 75 ~; 66 |; 72 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 51 ( 47 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f454,plain,
$false,
inference(subsumption_resolution,[],[f453,f368]) ).
fof(f368,plain,
init != a_select2(sigmaold_init,sK23),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( ! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select2(sigmaold_init,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(muold_init,X1) )
| ~ gt(loopcounter,n1) )
& leq(sK23,n4)
& leq(n0,sK23)
& init != a_select2(sigmaold_init,sK23)
& gt(loopcounter,n1)
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( ~ leq(n0,X4)
| init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4) ) )
& ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n4)
| init = a_select3(center_init,X5,n0) )
& ( ! [X6] :
( init = a_select2(rhoold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f233,f234]) ).
fof(f234,plain,
( ? [X2] :
( leq(X2,n4)
& leq(n0,X2)
& init != a_select2(sigmaold_init,X2) )
=> ( leq(sK23,n4)
& leq(n0,sK23)
& init != a_select2(sigmaold_init,sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ( ! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select2(sigmaold_init,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(muold_init,X1) )
| ~ gt(loopcounter,n1) )
& ? [X2] :
( leq(X2,n4)
& leq(n0,X2)
& init != a_select2(sigmaold_init,X2) )
& gt(loopcounter,n1)
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( ~ leq(n0,X4)
| init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4) ) )
& ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n4)
| init = a_select3(center_init,X5,n0) )
& ( ! [X6] :
( init = a_select2(rhoold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
( ( ! [X3] :
( ~ leq(X3,n4)
| ~ leq(n0,X3)
| init = a_select2(sigmaold_init,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(muold_init,X2) )
| ~ gt(loopcounter,n1) )
& ? [X6] :
( leq(X6,n4)
& leq(n0,X6)
& init != a_select2(sigmaold_init,X6) )
& gt(loopcounter,n1)
& ! [X4] :
( ~ leq(X4,n135299)
| ~ leq(n0,X4)
| ! [X5] :
( ~ leq(n0,X5)
| init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4) ) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select3(center_init,X0,n0) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
( ? [X6] :
( init != a_select2(sigmaold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& gt(loopcounter,n1)
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
~ ( ( gt(loopcounter,n1)
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select2(rhoold_init,X1) ) )
& ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select3(center_init,X0,n0) )
& ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(q_init,X4,X5) ) )
& ( gt(loopcounter,n1)
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select2(muold_init,X2) ) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(sigmaold_init,X3) ) ) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(sigmaold_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(center_init,X3,n0) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) ) )
& ( gt(loopcounter,n1)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_init,X19) ) )
& ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(sigmaold_init,X21) ) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(center_init,X3,n0) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) ) )
& ( gt(loopcounter,n1)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_init,X19) ) )
& ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(sigmaold_init,X21) ) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0111) ).
fof(f453,plain,
init = a_select2(sigmaold_init,sK23),
inference(subsumption_resolution,[],[f452,f370]) ).
fof(f370,plain,
leq(sK23,n4),
inference(cnf_transformation,[],[f235]) ).
fof(f452,plain,
( ~ leq(sK23,n4)
| init = a_select2(sigmaold_init,sK23) ),
inference(resolution,[],[f451,f369]) ).
fof(f369,plain,
leq(n0,sK23),
inference(cnf_transformation,[],[f235]) ).
fof(f451,plain,
! [X0] :
( ~ leq(n0,X0)
| init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4) ),
inference(subsumption_resolution,[],[f372,f367]) ).
fof(f367,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f235]) ).
fof(f372,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(sigmaold_init,X0)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV187+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n015.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 19:17:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (27011)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)
% 1.51/0.56 % (27028)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)
% 1.51/0.57 % (27020)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)
% 1.65/0.57 % (27017)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)
% 1.65/0.57 % (27014)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.65/0.57 % (27014)Instruction limit reached!
% 1.65/0.57 % (27014)------------------------------
% 1.65/0.57 % (27014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (27014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (27014)Termination reason: Unknown
% 1.65/0.57 % (27014)Termination phase: Preprocessing 1
% 1.65/0.57
% 1.65/0.57 % (27014)Memory used [KB]: 895
% 1.65/0.57 % (27014)Time elapsed: 0.004 s
% 1.65/0.57 % (27014)Instructions burned: 2 (million)
% 1.65/0.57 % (27014)------------------------------
% 1.65/0.57 % (27014)------------------------------
% 1.65/0.58 % (27007)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)
% 1.65/0.58 % (27029)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)
% 1.65/0.59 % (27006)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)
% 1.65/0.59 % (27028)First to succeed.
% 1.65/0.59 % (27012)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.59 % (27028)Refutation found. Thanks to Tanya!
% 1.65/0.59 % SZS status Theorem for theBenchmark
% 1.65/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.59 % (27028)------------------------------
% 1.65/0.59 % (27028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (27028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (27028)Termination reason: Refutation
% 1.65/0.59
% 1.65/0.59 % (27028)Memory used [KB]: 1279
% 1.65/0.59 % (27028)Time elapsed: 0.147 s
% 1.65/0.59 % (27028)Instructions burned: 12 (million)
% 1.65/0.59 % (27028)------------------------------
% 1.65/0.59 % (27028)------------------------------
% 1.65/0.59 % (27005)Success in time 0.237 s
%------------------------------------------------------------------------------