TSTP Solution File: SWV152+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n013.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 18:44:20 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 71 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 22 ~; 13 |; 15 &)
% ( 2 <=>; 6 =>; 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 : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 30 ( 27 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f306,plain,
$false,
inference(subsumption_resolution,[],[f302,f176]) ).
fof(f176,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(f302,plain,
gt(n0,n0),
inference(backward_demodulation,[],[f250,f297]) ).
fof(f297,plain,
n0 = sK0,
inference(subsumption_resolution,[],[f213,f251]) ).
fof(f251,plain,
leq(sK0,n0),
inference(resolution,[],[f250,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f213,plain,
( n0 = sK0
| ~ leq(sK0,n0) ),
inference(resolution,[],[f182,f141]) ).
fof(f141,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f105]) ).
fof(f105,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(f182,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index))
& leq(sK0,tptp_minus_1)
& leq(n0,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f97,f123]) ).
fof(f123,plain,
( ? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1)
& leq(n0,X0) )
=> ( n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index))
& leq(sK0,tptp_minus_1)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1)
& leq(n0,X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& leq(X0,tptp_minus_1)
& leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ! [X0] :
( ( leq(X0,tptp_minus_1)
& leq(n0,X0) )
=> 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/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0002) ).
fof(f250,plain,
gt(n0,sK0),
inference(forward_demodulation,[],[f249,f203]) ).
fof(f203,plain,
n0 = plus(n1,tptp_minus_1),
inference(definition_unfolding,[],[f169,f146]) ).
fof(f146,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(f169,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(f249,plain,
gt(plus(n1,tptp_minus_1),sK0),
inference(resolution,[],[f183,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(plus(n1,X0),X1) ),
inference(definition_unfolding,[],[f147,f146]) ).
fof(f147,plain,
! [X0,X1] :
( gt(succ(X0),X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ~ gt(succ(X0),X1) )
& ( gt(succ(X0),X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( leq(X1,X0)
<=> gt(succ(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f183,plain,
leq(sK0,tptp_minus_1),
inference(cnf_transformation,[],[f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV152+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
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:00:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 % (19556)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)
% 0.20/0.44 % (19548)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.45 % (19548)Instruction limit reached!
% 0.20/0.45 % (19548)------------------------------
% 0.20/0.45 % (19548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (19548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (19548)Termination reason: Unknown
% 0.20/0.45 % (19548)Termination phase: Function definition elimination
% 0.20/0.45
% 0.20/0.45 % (19548)Memory used [KB]: 1663
% 0.20/0.45 % (19548)Time elapsed: 0.008 s
% 0.20/0.45 % (19548)Instructions burned: 7 (million)
% 0.20/0.45 % (19548)------------------------------
% 0.20/0.45 % (19548)------------------------------
% 0.20/0.45 % (19556)First to succeed.
% 0.20/0.46 % (19556)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (19556)------------------------------
% 0.20/0.46 % (19556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (19556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (19556)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (19556)Memory used [KB]: 1663
% 0.20/0.46 % (19556)Time elapsed: 0.039 s
% 0.20/0.46 % (19556)Instructions burned: 13 (million)
% 0.20/0.46 % (19556)------------------------------
% 0.20/0.46 % (19556)------------------------------
% 0.20/0.46 % (19532)Success in time 0.11 s
%------------------------------------------------------------------------------