TSTP Solution File: SWV133+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV133+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_uns --cores 0 -t %d %s
% Computer : n024.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 18:44:17 EDT 2022
% Result : Theorem 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 24 unt; 0 def)
% Number of atoms : 84 ( 14 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 68 ( 20 ~; 5 |; 38 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(subsumption_resolution,[],[f316,f198]) ).
fof(f198,plain,
leq(n2,pv1325),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( leq(n0,s_sworst7)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_sworst7,n3)
& ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& ~ leq(n0,pv1325)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(s_worst7,n3)
& leq(n0,s_worst7)
& leq(s_best7,n3)
& leq(pv1325,n3) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
( ~ leq(n0,pv1325)
& leq(pv1325,n3)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(s_worst7,n3)
& leq(n0,s_sworst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv1325,n3)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(s_worst7,n3)
& leq(n0,s_sworst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv1325,n3)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(s_worst7,n3)
& leq(n0,s_sworst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0003) ).
fof(f316,plain,
~ leq(n2,pv1325),
inference(forward_demodulation,[],[f315,f277]) ).
fof(f277,plain,
n2 = plus(n1,n1),
inference(backward_demodulation,[],[f235,f271]) ).
fof(f271,plain,
n1 = plus(n0,n1),
inference(superposition,[],[f216,f224]) ).
fof(f224,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f187,f140]) ).
fof(f140,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f187,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f216,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f165,f140]) ).
fof(f165,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(f235,plain,
n2 = plus(n1,plus(n0,n1)),
inference(forward_demodulation,[],[f217,f216]) ).
fof(f217,plain,
n2 = plus(n1,plus(n1,n0)),
inference(definition_unfolding,[],[f169,f140,f140]) ).
fof(f169,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f315,plain,
~ leq(plus(n1,n1),pv1325),
inference(unit_resulting_resolution,[],[f314,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ~ leq(plus(n1,X0),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f134,f140]) ).
fof(f134,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f314,plain,
~ gt(pv1325,n1),
inference(unit_resulting_resolution,[],[f313,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,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(f313,plain,
~ leq(n1,pv1325),
inference(forward_demodulation,[],[f312,f271]) ).
fof(f312,plain,
~ leq(plus(n0,n1),pv1325),
inference(forward_demodulation,[],[f297,f216]) ).
fof(f297,plain,
~ leq(plus(n1,n0),pv1325),
inference(unit_resulting_resolution,[],[f244,f205]) ).
fof(f244,plain,
~ gt(pv1325,n0),
inference(unit_resulting_resolution,[],[f200,f150]) ).
fof(f200,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[],[f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV133+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:05:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55 % (25049)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.55 % (25068)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.56 % (25066)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (25052)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.57 % (25058)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (25047)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58 % (25072)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.58 % (25074)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.59 % (25058)First to succeed.
% 0.19/0.59 % (25049)Instruction limit reached!
% 0.19/0.59 % (25049)------------------------------
% 0.19/0.59 % (25049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (25049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (25049)Termination reason: Unknown
% 0.19/0.59 % (25049)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (25049)Memory used [KB]: 1663
% 0.19/0.59 % (25049)Time elapsed: 0.162 s
% 0.19/0.59 % (25049)Instructions burned: 15 (million)
% 0.19/0.59 % (25049)------------------------------
% 0.19/0.59 % (25049)------------------------------
% 0.19/0.59 % (25044)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.59 % (25057)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.59 % (25058)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Theorem for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (25058)------------------------------
% 0.19/0.59 % (25058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (25058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (25058)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (25058)Memory used [KB]: 6140
% 0.19/0.59 % (25058)Time elapsed: 0.159 s
% 0.19/0.59 % (25058)Instructions burned: 9 (million)
% 0.19/0.59 % (25058)------------------------------
% 0.19/0.59 % (25058)------------------------------
% 0.19/0.59 % (25043)Success in time 0.241 s
%------------------------------------------------------------------------------