TSTP Solution File: SWV048+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV048+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 18:55:21 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 23 unt; 0 def)
% Number of atoms : 77 ( 43 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 77 ( 31 ~; 18 |; 22 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f618,plain,
$false,
inference(trivial_inequality_removal,[],[f615]) ).
fof(f615,plain,
n0 != n0,
inference(superposition,[],[f443,f523]) ).
fof(f523,plain,
! [X0] : n0 = sum(n0,minus(n0,n1),X0),
inference(backward_demodulation,[],[f332,f481]) ).
fof(f481,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f425,f414]) ).
fof(f414,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f298,f306]) ).
fof(f306,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(f298,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(f425,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f352,f313,f306]) ).
fof(f313,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(f352,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(f332,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f443,plain,
n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))),
inference(resolution,[],[f340,f439]) ).
fof(f439,plain,
( ~ true
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
inference(subsumption_resolution,[],[f438,f401]) ).
fof(f401,plain,
leq(pv35,minus(n5,n1)),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& ( ( n0 = pv78
& ~ true )
| ( n0 != pv78
& ( ~ leq(n0,pv35)
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| ~ leq(pv35,minus(n5,n1))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ) ) ) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
( ( ( n0 = pv78
& ~ true )
| ( n0 != pv78
& ( ~ leq(n0,pv35)
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| ~ leq(pv35,minus(n5,n1))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ) ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( n0 = sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(pv35,minus(n5,n1))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& leq(n0,pv35) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( n0 = sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(pv35,minus(n5,n1))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& leq(n0,pv35) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0016) ).
fof(f438,plain,
( n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| ~ leq(pv35,minus(n5,n1))
| ~ true ),
inference(subsumption_resolution,[],[f437,f400]) ).
fof(f400,plain,
leq(n0,pv35),
inference(cnf_transformation,[],[f174]) ).
fof(f437,plain,
( ~ true
| ~ leq(n0,pv35)
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| ~ leq(pv35,minus(n5,n1)) ),
inference(subsumption_resolution,[],[f396,f402]) ).
fof(f402,plain,
pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
inference(cnf_transformation,[],[f174]) ).
fof(f396,plain,
( ~ true
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
inference(cnf_transformation,[],[f174]) ).
fof(f340,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV048+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % 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 : n003.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 18:57:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (32391)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)
% 0.20/0.55 % (32392)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (32407)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)
% 0.20/0.55 % (32392)Instruction limit reached!
% 0.20/0.55 % (32392)------------------------------
% 0.20/0.55 % (32392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32408)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)
% 0.20/0.55 % (32400)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)
% 0.20/0.55 % (32392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32392)Termination reason: Unknown
% 0.20/0.55 % (32392)Termination phase: Function definition elimination
% 0.20/0.55
% 0.20/0.55 % (32392)Memory used [KB]: 1151
% 0.20/0.55 % (32392)Time elapsed: 0.006 s
% 0.20/0.55 % (32392)Instructions burned: 7 (million)
% 0.20/0.55 % (32392)------------------------------
% 0.20/0.55 % (32392)------------------------------
% 0.20/0.56 % (32399)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)
% 0.20/0.58 % (32389)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 % (32407)First to succeed.
% 0.20/0.58 % (32385)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)
% 0.20/0.59 % (32400)Also succeeded, but the first one will report.
% 0.20/0.59 % (32407)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (32407)------------------------------
% 0.20/0.59 % (32407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (32407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (32407)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (32407)Memory used [KB]: 1279
% 0.20/0.59 % (32407)Time elapsed: 0.149 s
% 0.20/0.59 % (32407)Instructions burned: 18 (million)
% 0.20/0.59 % (32407)------------------------------
% 0.20/0.59 % (32407)------------------------------
% 0.20/0.59 % (32384)Success in time 0.241 s
%------------------------------------------------------------------------------