TSTP Solution File: SWV152+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV152+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 : n027.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 18:55:40 EDT 2022
% Result : Theorem 1.72s 0.58s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 20 unt; 0 def)
% Number of atoms : 100 ( 28 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 35 ~; 24 |; 18 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 48 ( 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f750,plain,
$false,
inference(resolution,[],[f735,f500]) ).
fof(f500,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[],[f486,f403]) ).
fof(f403,plain,
n0 = plus(n1,tptp_minus_1),
inference(definition_unfolding,[],[f335,f269]) ).
fof(f269,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f335,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(f486,plain,
! [X0] : ~ leq(plus(n1,X0),X0),
inference(resolution,[],[f408,f318]) ).
fof(f318,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(f408,plain,
! [X0,X1] :
( gt(plus(n1,X0),X1)
| ~ leq(X1,X0) ),
inference(definition_unfolding,[],[f343,f269]) ).
fof(f343,plain,
! [X0,X1] :
( gt(succ(X0),X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ~ gt(succ(X0),X1) )
& ( gt(succ(X0),X1)
| ~ leq(X1,X0) ) ),
inference(rectify,[],[f220]) ).
fof(f220,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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f735,plain,
leq(n0,tptp_minus_1),
inference(backward_demodulation,[],[f332,f729]) ).
fof(f729,plain,
n0 = sK23,
inference(resolution,[],[f693,f332]) ).
fof(f693,plain,
( ~ leq(sK23,tptp_minus_1)
| n0 = sK23 ),
inference(forward_demodulation,[],[f688,f443]) ).
fof(f443,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f396,f403]) ).
fof(f396,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f257,f379,f269]) ).
fof(f379,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f257,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f688,plain,
( n0 = sK23
| ~ leq(sK23,minus(n0,n1)) ),
inference(resolution,[],[f682,f417]) ).
fof(f417,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ leq(X1,minus(X0,n1)) ),
inference(definition_unfolding,[],[f390,f379]) ).
fof(f390,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ leq(X1,pred(X0)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( ( leq(X1,pred(X0))
| ~ gt(X0,X1) )
& ( gt(X0,X1)
| ~ leq(X1,pred(X0)) ) ),
inference(rectify,[],[f241]) ).
fof(f241,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/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f682,plain,
( ~ gt(n0,sK23)
| n0 = sK23 ),
inference(resolution,[],[f652,f345]) ).
fof(f345,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( 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(f652,plain,
( ~ leq(sK23,n0)
| n0 = sK23 ),
inference(resolution,[],[f337,f333]) ).
fof(f333,plain,
leq(n0,sK23),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( leq(n0,sK23)
& leq(sK23,tptp_minus_1)
& n1 != sum(n0,n4,a_select3(q,sK23,tptp_sum_index)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f141,f216]) ).
fof(f216,plain,
( ? [X0] :
( leq(n0,X0)
& leq(X0,tptp_minus_1)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
=> ( leq(n0,sK23)
& leq(sK23,tptp_minus_1)
& n1 != sum(n0,n4,a_select3(q,sK23,tptp_sum_index)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
? [X0] :
( leq(n0,X0)
& leq(X0,tptp_minus_1)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index)) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(n0,X0)
& leq(X0,tptp_minus_1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,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(n0,X13)
& leq(X13,tptp_minus_1) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13] :
( ( leq(n0,X13)
& leq(X13,tptp_minus_1) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0002) ).
fof(f337,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f332,plain,
leq(sK23,tptp_minus_1),
inference(cnf_transformation,[],[f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV152+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.13 % 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 : n027.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 19:19:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (22193)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)
% 0.20/0.51 % (22202)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (22184)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)
% 0.20/0.51 % (22188)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (22199)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)
% 0.20/0.52 % (22185)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)
% 0.20/0.52 % (22194)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (22206)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)
% 0.20/0.53 % (22196)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (22208)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (22211)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)
% 0.20/0.53 % (22198)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)
% 0.20/0.53 % (22212)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (22186)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)
% 0.20/0.53 % (22187)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)
% 0.20/0.53 % (22200)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)
% 0.20/0.53 % (22213)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)
% 0.20/0.53 % (22210)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)
% 0.20/0.53 % (22190)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)
% 0.20/0.53 % (22189)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)
% 0.20/0.54 % (22207)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)
% 0.20/0.54 % (22191)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (22203)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)
% 0.20/0.54 % (22201)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (22191)Instruction limit reached!
% 0.20/0.54 % (22191)------------------------------
% 0.20/0.54 % (22191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (22191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (22191)Termination reason: Unknown
% 0.20/0.54 % (22191)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (22191)Memory used [KB]: 1151
% 0.20/0.54 % (22191)Time elapsed: 0.005 s
% 0.20/0.54 % (22191)Instructions burned: 9 (million)
% 0.20/0.54 % (22191)------------------------------
% 0.20/0.54 % (22191)------------------------------
% 0.20/0.54 % (22204)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)
% 0.20/0.54 % (22205)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (22209)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (22195)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (22197)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (22192)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (22192)Instruction limit reached!
% 0.20/0.55 % (22192)------------------------------
% 0.20/0.55 % (22192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (22192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (22192)Termination reason: Unknown
% 0.20/0.55 % (22192)Termination phase: Preprocessing 1
% 0.20/0.55
% 0.20/0.55 % (22192)Memory used [KB]: 895
% 0.20/0.55 % (22192)Time elapsed: 0.002 s
% 0.20/0.55 % (22192)Instructions burned: 2 (million)
% 0.20/0.55 % (22192)------------------------------
% 0.20/0.55 % (22192)------------------------------
% 0.20/0.56 % (22193)First to succeed.
% 1.72/0.57 TRYING [1]
% 1.72/0.58 TRYING [2]
% 1.72/0.58 % (22193)Refutation found. Thanks to Tanya!
% 1.72/0.58 % SZS status Theorem for theBenchmark
% 1.72/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58 % (22193)------------------------------
% 1.72/0.58 % (22193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (22193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (22193)Termination reason: Refutation
% 1.72/0.58
% 1.72/0.58 % (22193)Memory used [KB]: 1663
% 1.72/0.58 % (22193)Time elapsed: 0.147 s
% 1.72/0.58 % (22193)Instructions burned: 30 (million)
% 1.72/0.58 % (22193)------------------------------
% 1.72/0.58 % (22193)------------------------------
% 1.72/0.58 % (22183)Success in time 0.224 s
%------------------------------------------------------------------------------