TSTP Solution File: SWV174+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV174+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 : 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 18:55:43 EDT 2022
% Result : Theorem 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 167 ( 31 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 193 ( 54 ~; 44 |; 75 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 53 ( 45 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f630,plain,
$false,
inference(subsumption_resolution,[],[f629,f330]) ).
fof(f330,plain,
leq(n0,sK23),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ! [X1] :
( ~ leq(X1,n4)
| init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& gt(pv10,sK24)
& init != a_select3(q_init,sK24,sK23)
& leq(n0,sK23)
& leq(sK24,n135299)
& leq(sK23,n4)
& leq(n0,sK24)
& ! [X4] :
( ~ leq(n0,X4)
| init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f221,f222]) ).
fof(f222,plain,
( ? [X2,X3] :
( gt(pv10,X3)
& init != a_select3(q_init,X3,X2)
& leq(n0,X2)
& leq(X3,n135299)
& leq(X2,n4)
& leq(n0,X3) )
=> ( gt(pv10,sK24)
& init != a_select3(q_init,sK24,sK23)
& leq(n0,sK23)
& leq(sK24,n135299)
& leq(sK23,n4)
& leq(n0,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ! [X1] :
( ~ leq(X1,n4)
| init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& ? [X2,X3] :
( gt(pv10,X3)
& init != a_select3(q_init,X3,X2)
& leq(n0,X2)
& leq(X3,n135299)
& leq(X2,n4)
& leq(n0,X3) )
& ! [X4] :
( ~ leq(n0,X4)
| init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4) ) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ! [X1] :
( ~ leq(X1,n4)
| init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& ? [X4,X3] :
( gt(pv10,X3)
& init != a_select3(q_init,X3,X4)
& leq(n0,X4)
& leq(X3,n135299)
& leq(X4,n4)
& leq(n0,X3) )
& ! [X2] :
( ~ leq(n0,X2)
| init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4) ) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(X3,n135299)
& leq(n0,X3)
& leq(X4,n4)
& leq(n0,X4) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X0] :
( ! [X1] :
( init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
~ ( ( ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select3(center_init,X2,n0) )
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,pred(pv10)) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select3(q_init,X0,X1) ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X3,X4] :
( ( leq(X3,n135299)
& leq(n0,X3)
& leq(X4,n4)
& leq(n0,X4) )
=> ( gt(pv10,X3)
=> init = a_select3(q_init,X3,X4) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X19,X20] :
( ( leq(n0,X20)
& leq(X19,n135299)
& leq(n0,X19)
& leq(X20,n4) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X19,X20] :
( ( leq(n0,X20)
& leq(X19,n135299)
& leq(n0,X19)
& leq(X20,n4) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0046) ).
fof(f629,plain,
~ leq(n0,sK23),
inference(subsumption_resolution,[],[f625,f331]) ).
fof(f331,plain,
init != a_select3(q_init,sK24,sK23),
inference(cnf_transformation,[],[f223]) ).
fof(f625,plain,
( init = a_select3(q_init,sK24,sK23)
| ~ leq(n0,sK23) ),
inference(resolution,[],[f618,f328]) ).
fof(f328,plain,
leq(sK23,n4),
inference(cnf_transformation,[],[f223]) ).
fof(f618,plain,
! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select3(q_init,sK24,X0) ),
inference(subsumption_resolution,[],[f617,f327]) ).
fof(f327,plain,
leq(n0,sK24),
inference(cnf_transformation,[],[f223]) ).
fof(f617,plain,
! [X0] :
( init = a_select3(q_init,sK24,X0)
| ~ leq(n0,sK24)
| ~ leq(n0,X0)
| ~ leq(X0,n4) ),
inference(resolution,[],[f602,f419]) ).
fof(f419,plain,
! [X0,X1] :
( ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| init = a_select3(q_init,X0,X1) ),
inference(definition_unfolding,[],[f333,f380]) ).
fof(f380,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f333,plain,
! [X0,X1] :
( ~ leq(X1,n4)
| init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f602,plain,
leq(sK24,minus(pv10,n1)),
inference(resolution,[],[f412,f332]) ).
fof(f332,plain,
gt(pv10,sK24),
inference(cnf_transformation,[],[f223]) ).
fof(f412,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,minus(X0,n1)) ),
inference(definition_unfolding,[],[f284,f380]) ).
fof(f284,plain,
! [X0,X1] :
( leq(X1,pred(X0))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( leq(X1,pred(X0))
| ~ gt(X0,X1) )
& ( gt(X0,X1)
| ~ leq(X1,pred(X0)) ) ),
inference(rectify,[],[f198]) ).
fof(f198,plain,
! [X1,X0] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SWV174+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.14 % 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 : n002.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 19:17:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (12571)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (12569)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)
% 0.21/0.53 % (12563)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)
% 0.21/0.53 % (12571)Instruction limit reached!
% 0.21/0.53 % (12571)------------------------------
% 0.21/0.53 % (12571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (12571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (12571)Termination reason: Unknown
% 0.21/0.53 % (12571)Termination phase: Preprocessing 2
% 0.21/0.53
% 0.21/0.53 % (12571)Memory used [KB]: 1023
% 0.21/0.53 % (12571)Time elapsed: 0.003 s
% 0.21/0.53 % (12571)Instructions burned: 2 (million)
% 0.21/0.53 % (12571)------------------------------
% 0.21/0.53 % (12571)------------------------------
% 0.21/0.53 % (12564)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)
% 0.21/0.54 % (12566)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)
% 0.21/0.54 % (12567)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (12568)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)
% 0.21/0.54 % (12579)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)
% 0.21/0.54 % (12565)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)
% 0.21/0.54 % (12577)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)
% 0.21/0.54 % (12573)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (12582)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (12583)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.55 % (12584)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (12578)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)
% 0.21/0.55 % (12581)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (12585)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)
% 0.21/0.55 % (12575)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55 % (12574)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)
% 0.21/0.55 % (12586)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)
% 0.21/0.55 % (12576)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (12580)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (12591)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56 % (12590)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.56 % (12592)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.56 % (12570)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 % (12572)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)
% 0.21/0.56 % (12587)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56 % (12589)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)
% 0.21/0.56 % (12588)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.57 TRYING [1]
% 0.21/0.57 TRYING [2]
% 0.21/0.58 % (12585)First to succeed.
% 0.21/0.58 % (12585)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Theorem for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (12585)------------------------------
% 0.21/0.58 % (12585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (12585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (12585)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (12585)Memory used [KB]: 1407
% 0.21/0.58 % (12585)Time elapsed: 0.179 s
% 0.21/0.58 % (12585)Instructions burned: 20 (million)
% 0.21/0.58 % (12585)------------------------------
% 0.21/0.58 % (12585)------------------------------
% 0.21/0.58 % (12562)Success in time 0.224 s
%------------------------------------------------------------------------------