TSTP Solution File: NUM835+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n021.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 18:02:30 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 65 ( 51 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 71 ( 25 ~; 28 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 33 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f259,plain,
$false,
inference(subsumption_resolution,[],[f244,f155]) ).
fof(f155,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( vd165 != vd151
& ! [X0] : vd165 != vplus(vd151,X0)
& ! [X1] : vd151 != vplus(vd165,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X1] : vd151 = vplus(vd165,X1)
| ? [X0] : vd165 = vplus(vd151,X0)
| vd165 = vd151 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X1] : vd151 = vplus(vd165,X1)
| ? [X0] : vd165 = vplus(vd151,X0)
| vd165 = vd151 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
fof(f244,plain,
vd165 = vplus(vd151,sK2(vd151,vd165)),
inference(unit_resulting_resolution,[],[f220,f156,f154,f176]) ).
fof(f176,plain,
! [X0,X1] :
( vplus(X1,sK1(X0,X1)) = X0
| X0 = X1
| ~ m(X0)
| vplus(X0,sK2(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( X0 = X1
| vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK2(X0,X1)) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X4] : vplus(X1,X4) != X0
& ! [X5] : vplus(X0,X5) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f126,f128,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] : vplus(X1,X2) = X0
| ? [X3] : vplus(X0,X3) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X4] : vplus(X1,X4) != X0
& ! [X5] : vplus(X0,X5) != X1 ) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] : vplus(X1,X2) = X0
| ? [X3] : vplus(X0,X3) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X2] : vplus(X1,X2) != X0
& ! [X3] : vplus(X0,X3) != X1 ) ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] : vplus(X1,X2) = X0
| ? [X3] : vplus(X0,X3) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X2] : vplus(X1,X2) != X0
& ! [X3] : vplus(X0,X3) != X1 ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] : vplus(X1,X2) = X0
| ? [X3] : vplus(X0,X3) = X1 )
<=> m(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X4] :
( m(X5)
<=> ( X4 = X5
| ? [X7] : vplus(X4,X7) = X5
| ? [X6] : vplus(X5,X6) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
fof(f154,plain,
! [X1] : vd151 != vplus(vd165,X1),
inference(cnf_transformation,[],[f83]) ).
fof(f156,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f83]) ).
fof(f220,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( m(X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n021.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 08:56:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (16420)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (16427)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)
% 0.20/0.51 % (16433)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)
% 0.20/0.52 % (16441)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)
% 0.20/0.52 % (16427)First to succeed.
% 0.20/0.52 % (16447)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)
% 0.20/0.52 % (16441)Also succeeded, but the first one will report.
% 0.20/0.52 % (16427)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16427)------------------------------
% 0.20/0.52 % (16427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16427)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16427)Memory used [KB]: 6140
% 0.20/0.52 % (16427)Time elapsed: 0.112 s
% 0.20/0.52 % (16427)Instructions burned: 5 (million)
% 0.20/0.52 % (16427)------------------------------
% 0.20/0.52 % (16427)------------------------------
% 0.20/0.52 % (16418)Success in time 0.17 s
%------------------------------------------------------------------------------