TSTP Solution File: SWV056+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV056+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 : n015.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 18:55:22 EDT 2022
% Result : Theorem 1.20s 0.53s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 18 unt; 0 def)
% Number of atoms : 49 ( 21 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 11 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f456,plain,
$false,
inference(resolution,[],[f453,f295]) ).
fof(f295,plain,
leq(n0,pv25),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) )
& leq(pv25,minus(n5,n1))
& leq(n0,pv25) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
( ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) )
& leq(pv25,minus(n5,n1))
& leq(n0,pv25) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(pv25,minus(n5,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(pv25,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0040) ).
fof(f453,plain,
~ leq(n0,pv25),
inference(resolution,[],[f452,f296]) ).
fof(f296,plain,
leq(pv25,minus(n5,n1)),
inference(cnf_transformation,[],[f148]) ).
fof(f452,plain,
( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25) ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f451,plain,
( ~ leq(pv25,minus(n5,n1))
| n0 != n0
| ~ leq(n0,pv25) ),
inference(forward_demodulation,[],[f450,f271]) ).
fof(f271,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f112]) ).
fof(f112,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(f450,plain,
( ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1))
| n0 != sum(n0,tptp_minus_1,a_select3(q,pv77,pv25)) ),
inference(backward_demodulation,[],[f297,f445]) ).
fof(f445,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f399,f386]) ).
fof(f386,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f263,f273]) ).
fof(f273,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(f263,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(f399,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f299,f262,f273]) ).
fof(f262,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(f299,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(f297,plain,
( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) ),
inference(cnf_transformation,[],[f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV056+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 19:10:21 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 % (9840)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)
% 0.21/0.50 % (9832)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)
% 0.21/0.50 % (9826)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)
% 1.20/0.53 % (9821)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.20/0.53 % (9817)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)
% 1.20/0.53 % (9826)First to succeed.
% 1.20/0.53 % (9826)Refutation found. Thanks to Tanya!
% 1.20/0.53 % SZS status Theorem for theBenchmark
% 1.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.20/0.53 % (9826)------------------------------
% 1.20/0.53 % (9826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.53 % (9826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.53 % (9826)Termination reason: Refutation
% 1.20/0.53
% 1.20/0.53 % (9826)Memory used [KB]: 1407
% 1.20/0.53 % (9826)Time elapsed: 0.121 s
% 1.20/0.53 % (9826)Instructions burned: 22 (million)
% 1.20/0.53 % (9826)------------------------------
% 1.20/0.53 % (9826)------------------------------
% 1.20/0.53 % (9816)Success in time 0.166 s
%------------------------------------------------------------------------------