TSTP Solution File: SWV041+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV041+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 : 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 18:43:58 EDT 2022
% Result : Theorem 1.83s 0.61s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 107 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 100 ( 27 ~; 16 |; 42 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f466,plain,
$false,
inference(subsumption_resolution,[],[f462,f152]) ).
fof(f152,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(f462,plain,
gt(n0,n0),
inference(backward_demodulation,[],[f346,f457]) ).
fof(f457,plain,
n0 = sK1,
inference(subsumption_resolution,[],[f272,f353]) ).
fof(f353,plain,
leq(sK1,n0),
inference(resolution,[],[f346,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X1,X0] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,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(f272,plain,
( ~ leq(sK1,n0)
| n0 = sK1 ),
inference(resolution,[],[f215,f176]) ).
fof(f176,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f215,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0)
& leq(n0,sK0)
& leq(n0,sK1)
& init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sK1,sK0)
& leq(sK1,minus(n0,n1))
& leq(sK0,n2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f112,f145,f144]) ).
fof(f144,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0)
& leq(X1,minus(n0,n1)) )
& leq(X0,n2) )
=> ( leq(n0,sK0)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,sK0)
& leq(X1,minus(n0,n1)) )
& leq(sK0,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X1] :
( leq(n0,X1)
& init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,sK0)
& leq(X1,minus(n0,n1)) )
=> ( leq(n0,sK1)
& init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sK1,sK0)
& leq(sK1,minus(n0,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0)
& ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0)
& leq(X1,minus(n0,n1)) )
& leq(X0,n2) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0)
& leq(n0,X1)
& leq(X1,minus(n0,n1)) )
& leq(X0,n2)
& leq(n0,X0) )
& geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,minus(n0,n1)) )
=> init = a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,minus(n0,n1)) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X17,X13) = init ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,minus(n0,n1)) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X17,X13) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0077) ).
fof(f346,plain,
gt(n0,sK1),
inference(resolution,[],[f213,f259]) ).
fof(f259,plain,
! [X0,X1] :
( ~ leq(X1,minus(X0,n1))
| gt(X0,X1) ),
inference(definition_unfolding,[],[f222,f187]) ).
fof(f187,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f222,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ leq(X1,pred(X0)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( leq(X1,pred(X0))
| ~ gt(X0,X1) )
& ( gt(X0,X1)
| ~ leq(X1,pred(X0)) ) ),
inference(rectify,[],[f147]) ).
fof(f147,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/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f213,plain,
leq(sK1,minus(n0,n1)),
inference(cnf_transformation,[],[f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV041+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:57:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.58 % (31154)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.58 % (31171)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)
% 0.20/0.58 % (31163)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)
% 0.20/0.59 % (31155)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)
% 1.83/0.59 % (31163)Instruction limit reached!
% 1.83/0.59 % (31163)------------------------------
% 1.83/0.59 % (31163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59 % (31170)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.83/0.59 % (31163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59 % (31163)Termination reason: Unknown
% 1.83/0.59 % (31163)Termination phase: Function definition elimination
% 1.83/0.59
% 1.83/0.59 % (31163)Memory used [KB]: 1663
% 1.83/0.59 % (31163)Time elapsed: 0.011 s
% 1.83/0.59 % (31163)Instructions burned: 7 (million)
% 1.83/0.59 % (31163)------------------------------
% 1.83/0.59 % (31163)------------------------------
% 1.83/0.60 % (31162)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.60 % (31162)Instruction limit reached!
% 1.83/0.60 % (31162)------------------------------
% 1.83/0.60 % (31162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60 % (31162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60 % (31162)Termination reason: Unknown
% 1.83/0.60 % (31162)Termination phase: Preprocessing 3
% 1.83/0.60
% 1.83/0.60 % (31162)Memory used [KB]: 1663
% 1.83/0.60 % (31162)Time elapsed: 0.003 s
% 1.83/0.60 % (31162)Instructions burned: 4 (million)
% 1.83/0.60 % (31162)------------------------------
% 1.83/0.60 % (31162)------------------------------
% 1.83/0.60 % (31158)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.83/0.60 % (31157)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.83/0.61 % (31168)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.83/0.61 % (31171)First to succeed.
% 1.83/0.61 % (31150)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.61 % (31151)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)
% 1.83/0.61 % (31150)Instruction limit reached!
% 1.83/0.61 % (31150)------------------------------
% 1.83/0.61 % (31150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61 % (31150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61 % (31150)Termination reason: Unknown
% 1.83/0.61 % (31150)Termination phase: Preprocessing 3
% 1.83/0.61
% 1.83/0.61 % (31150)Memory used [KB]: 1663
% 1.83/0.61 % (31150)Time elapsed: 0.003 s
% 1.83/0.61 % (31150)Instructions burned: 4 (million)
% 1.83/0.61 % (31150)------------------------------
% 1.83/0.61 % (31150)------------------------------
% 1.83/0.61 % (31171)Refutation found. Thanks to Tanya!
% 1.83/0.61 % SZS status Theorem for theBenchmark
% 1.83/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.61 % (31171)------------------------------
% 1.97/0.61 % (31171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (31171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (31171)Termination reason: Refutation
% 1.97/0.61
% 1.97/0.61 % (31171)Memory used [KB]: 1791
% 1.97/0.61 % (31171)Time elapsed: 0.104 s
% 1.97/0.61 % (31171)Instructions burned: 21 (million)
% 1.97/0.61 % (31171)------------------------------
% 1.97/0.61 % (31171)------------------------------
% 1.97/0.61 % (31147)Success in time 0.251 s
%------------------------------------------------------------------------------