TSTP Solution File: SWV165+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV165+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 : n003.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 18:55:42 EDT 2022
% Result : Theorem 1.60s 0.58s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 19 unt; 3 typ; 0 def)
% Number of atoms : 86 ( 21 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 70 ( 28 ~; 18 |; 15 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 37 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_11,type,
sQ33_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_12,type,
sQ34_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_13,type,
sQ35_eqProxy: ( $real * $real ) > $o ).
fof(f923,plain,
$false,
inference(subsumption_resolution,[],[f919,f471]) ).
fof(f471,plain,
! [X0] : ~ gt(X0,X0),
inference(literal_reordering,[],[f337]) ).
fof(f337,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f919,plain,
gt(n0,n0),
inference(backward_demodulation,[],[f792,f915]) ).
fof(f915,plain,
n0 = sK18,
inference(subsumption_resolution,[],[f913,f469]) ).
fof(f469,plain,
leq(n0,sK18),
inference(literal_reordering,[],[f314]) ).
fof(f314,plain,
leq(n0,sK18),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( leq(n0,sK18)
& leq(sK18,tptp_minus_1)
& uninit != init ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f131,f207]) ).
fof(f207,plain,
( ? [X0] :
( leq(n0,X0)
& leq(X0,tptp_minus_1)
& uninit != init )
=> ( leq(n0,sK18)
& leq(sK18,tptp_minus_1)
& uninit != init ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
? [X0] :
( leq(n0,X0)
& leq(X0,tptp_minus_1)
& uninit != init ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
? [X0] :
( uninit != init
& leq(n0,X0)
& leq(X0,tptp_minus_1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
~ ! [X0] :
( ( leq(n0,X0)
& leq(X0,tptp_minus_1) )
=> uninit = init ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13] :
( ( leq(X13,tptp_minus_1)
& leq(n0,X13) )
=> uninit = init ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13] :
( ( leq(X13,tptp_minus_1)
& leq(n0,X13) )
=> uninit = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0001) ).
fof(f913,plain,
( n0 = sK18
| ~ leq(n0,sK18) ),
inference(resolution,[],[f485,f796]) ).
fof(f796,plain,
leq(sK18,n0),
inference(resolution,[],[f792,f538]) ).
fof(f538,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(literal_reordering,[],[f347]) ).
fof(f347,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X1,X0] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X1,X0] :
( gt(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f485,plain,
! [X0] :
( ~ leq(X0,n0)
| n0 = X0
| ~ leq(n0,X0) ),
inference(literal_reordering,[],[f336]) ).
fof(f336,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f792,plain,
gt(n0,sK18),
inference(forward_demodulation,[],[f790,f560]) ).
fof(f560,plain,
n0 = plus(tptp_minus_1,n1),
inference(literal_reordering,[],[f392]) ).
fof(f392,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f254,f343]) ).
fof(f343,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f254,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f790,plain,
gt(plus(tptp_minus_1,n1),sK18),
inference(resolution,[],[f420,f553]) ).
fof(f553,plain,
leq(sK18,tptp_minus_1),
inference(literal_reordering,[],[f313]) ).
fof(f313,plain,
leq(sK18,tptp_minus_1),
inference(cnf_transformation,[],[f208]) ).
fof(f420,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(plus(X0,n1),X1) ),
inference(literal_reordering,[],[f414]) ).
fof(f414,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f384,f343]) ).
fof(f384,plain,
! [X0,X1] :
( gt(succ(X0),X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( ( gt(succ(X0),X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ gt(succ(X0),X1) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( gt(succ(X0),X1)
<=> leq(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV165+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 30 19:05:07 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.22/0.48 % (11513)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)
% 0.22/0.48 % (11518)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.50 % (11537)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)
% 0.22/0.50 % (11526)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.51 % (11529)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.51 % (11534)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)
% 0.22/0.52 % (11521)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.52 % (11508)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)
% 0.22/0.53 % (11527)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)
% 0.22/0.53 % (11517)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)
% 0.22/0.54 % (11519)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)
% 0.22/0.55 % (11530)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)
% 0.22/0.55 % (11512)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.55 % (11522)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)
% 0.22/0.55 % (11511)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)
% 0.22/0.55 % (11510)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)
% 0.22/0.55 % (11515)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.55 % (11516)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.56 % (11516)Instruction limit reached!
% 0.22/0.56 % (11516)------------------------------
% 0.22/0.56 % (11516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (11516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (11516)Termination reason: Unknown
% 0.22/0.56 % (11516)Termination phase: Preprocessing 1
% 0.22/0.56
% 0.22/0.56 % (11516)Memory used [KB]: 895
% 0.22/0.56 % (11516)Time elapsed: 0.002 s
% 0.22/0.56 % (11516)Instructions burned: 2 (million)
% 0.22/0.56 % (11516)------------------------------
% 0.22/0.56 % (11516)------------------------------
% 1.45/0.56 % (11536)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.45/0.56 % (11515)Instruction limit reached!
% 1.45/0.56 % (11515)------------------------------
% 1.45/0.56 % (11515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (11514)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)
% 1.45/0.56 % (11531)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)
% 1.45/0.56 % (11524)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)
% 1.45/0.56 % (11515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (11515)Termination reason: Unknown
% 1.45/0.56 % (11515)Termination phase: Function definition elimination
% 1.45/0.56
% 1.45/0.56 % (11515)Memory used [KB]: 1151
% 1.45/0.56 % (11515)Time elapsed: 0.005 s
% 1.45/0.56 % (11515)Instructions burned: 7 (million)
% 1.45/0.56 % (11515)------------------------------
% 1.45/0.56 % (11515)------------------------------
% 1.45/0.56 % (11535)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)
% 1.45/0.56 % (11528)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)
% 1.45/0.56 % (11509)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)
% 1.45/0.56 % (11533)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.56 TRYING [1]
% 1.45/0.57 % (11532)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.57 % (11534)First to succeed.
% 1.45/0.57 % (11525)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.57 % (11523)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)
% 1.60/0.58 % (11527)Also succeeded, but the first one will report.
% 1.60/0.58 % (11534)Refutation found. Thanks to Tanya!
% 1.60/0.58 % SZS status Theorem for theBenchmark
% 1.60/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.58 % (11534)------------------------------
% 1.60/0.58 % (11534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 % (11534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58 % (11534)Termination reason: Refutation
% 1.60/0.58
% 1.60/0.58 % (11534)Memory used [KB]: 6396
% 1.60/0.58 % (11534)Time elapsed: 0.025 s
% 1.60/0.58 % (11534)Instructions burned: 23 (million)
% 1.60/0.58 % (11534)------------------------------
% 1.60/0.58 % (11534)------------------------------
% 1.60/0.58 % (11507)Success in time 0.209 s
%------------------------------------------------------------------------------