TSTP Solution File: SWV151+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV151+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 : n017.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 18:55:39 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% 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 : 88 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 30 ~; 20 |; 16 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 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 : 11 ( 11 usr; 7 con; 0-3 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(f964,plain,
$false,
inference(subsumption_resolution,[],[f959,f489]) ).
fof(f489,plain,
! [X0] : ~ gt(X0,X0),
inference(literal_reordering,[],[f346]) ).
fof(f346,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f959,plain,
gt(n0,n0),
inference(backward_demodulation,[],[f808,f951]) ).
fof(f951,plain,
n0 = sK10,
inference(subsumption_resolution,[],[f950,f458]) ).
fof(f458,plain,
leq(n0,sK10),
inference(literal_reordering,[],[f282]) ).
fof(f282,plain,
leq(n0,sK10),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( leq(n0,sK10)
& n1 != sum(n0,n4,a_select3(q,sK10,tptp_sum_index))
& leq(sK10,tptp_minus_1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f127,f191]) ).
fof(f191,plain,
( ? [X0] :
( leq(n0,X0)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1) )
=> ( leq(n0,sK10)
& n1 != sum(n0,n4,a_select3(q,sK10,tptp_sum_index))
& leq(sK10,tptp_minus_1) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0] :
( leq(n0,X0)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(n0,X0)
& leq(X0,tptp_minus_1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ( leq(n0,X0)
& leq(X0,tptp_minus_1) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13] :
( ( leq(X13,tptp_minus_1)
& leq(n0,X13) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13] :
( ( leq(X13,tptp_minus_1)
& leq(n0,X13) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0001) ).
fof(f950,plain,
( n0 = sK10
| ~ leq(n0,sK10) ),
inference(resolution,[],[f535,f823]) ).
fof(f823,plain,
leq(sK10,n0),
inference(resolution,[],[f808,f558]) ).
fof(f558,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(literal_reordering,[],[f367]) ).
fof(f367,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X1,X0] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,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/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f535,plain,
! [X0] :
( ~ leq(X0,n0)
| n0 = X0
| ~ leq(n0,X0) ),
inference(literal_reordering,[],[f308]) ).
fof(f308,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f164]) ).
fof(f164,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/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f808,plain,
gt(n0,sK10),
inference(forward_demodulation,[],[f806,f496]) ).
fof(f496,plain,
n0 = plus(tptp_minus_1,n1),
inference(literal_reordering,[],[f388]) ).
fof(f388,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f242,f260]) ).
fof(f260,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f242,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f806,plain,
gt(plus(tptp_minus_1,n1),sK10),
inference(resolution,[],[f431,f484]) ).
fof(f484,plain,
leq(sK10,tptp_minus_1),
inference(literal_reordering,[],[f280]) ).
fof(f280,plain,
leq(sK10,tptp_minus_1),
inference(cnf_transformation,[],[f192]) ).
fof(f431,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(plus(X0,n1),X1) ),
inference(literal_reordering,[],[f391]) ).
fof(f391,plain,
! [X0,X1] :
( gt(plus(X0,n1),X1)
| ~ leq(X1,X0) ),
inference(definition_unfolding,[],[f247,f260]) ).
fof(f247,plain,
! [X0,X1] :
( gt(succ(X0),X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ~ gt(succ(X0),X1) )
& ( gt(succ(X0),X1)
| ~ leq(X1,X0) ) ),
inference(rectify,[],[f178]) ).
fof(f178,plain,
! [X1,X0] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV151+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:28:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (18841)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)
% 0.21/0.51 % (18842)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)
% 0.21/0.51 % (18826)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (18833)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)
% 0.21/0.52 % (18826)Instruction limit reached!
% 0.21/0.52 % (18826)------------------------------
% 0.21/0.52 % (18826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (18825)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)
% 0.21/0.52 % (18834)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)
% 0.21/0.52 % (18826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (18826)Termination reason: Unknown
% 0.21/0.52 % (18826)Termination phase: Function definition elimination
% 0.21/0.52
% 0.21/0.52 % (18826)Memory used [KB]: 1151
% 0.21/0.52 % (18826)Time elapsed: 0.006 s
% 0.21/0.52 % (18826)Instructions burned: 7 (million)
% 0.21/0.52 % (18826)------------------------------
% 0.21/0.52 % (18826)------------------------------
% 0.21/0.53 % (18848)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)
% 0.21/0.54 % (18846)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)
% 0.21/0.54 % (18847)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 % (18824)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 % (18819)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)
% 0.21/0.54 % (18821)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 % (18822)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 % (18823)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (18836)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (18840)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 % (18837)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (18838)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)
% 0.21/0.55 % (18820)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)
% 0.21/0.55 % (18839)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 % (18832)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 % (18829)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (18827)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (18830)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)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 % (18844)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56 % (18831)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.56 % (18843)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 % (18845)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 % (18833)First to succeed.
% 0.21/0.56 % (18833)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (18833)------------------------------
% 0.21/0.56 % (18833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18833)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (18833)Memory used [KB]: 6396
% 0.21/0.56 % (18833)Time elapsed: 0.018 s
% 0.21/0.56 % (18833)Instructions burned: 25 (million)
% 0.21/0.56 % (18833)------------------------------
% 0.21/0.56 % (18833)------------------------------
% 0.21/0.56 % (18818)Success in time 0.207 s
%------------------------------------------------------------------------------