TSTP Solution File: NUM835+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM835+2 : 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_sat --cores 0 -t %d %s
% Computer : n011.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 18:06:54 EDT 2022
% Result : Theorem 1.44s 0.54s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 73 ( 59 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 77 ( 26 ~; 33 |; 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 : 52 ( 36 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(subsumption_resolution,[],[f141,f92]) ).
fof(f92,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ! [X0] : vd165 != vplus(vd151,X0)
& vd165 != vd151
& ! [X1] : vd151 != vplus(vd165,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( vd165 = vd151
| ? [X0] : vd165 = vplus(vd151,X0)
| ? [X1] : vd151 = vplus(vd165,X1) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( vd165 = vd151
| ? [X0] : vd165 = vplus(vd151,X0)
| ? [X1] : vd151 = vplus(vd165,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
fof(f141,plain,
vd165 = vd151,
inference(subsumption_resolution,[],[f140,f93]) ).
fof(f93,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f140,plain,
( vd165 = vplus(vd151,sK0(vd151,vd165))
| vd165 = vd151 ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X0] :
( vd151 != X0
| vd165 = X0
| vd165 = vplus(X0,sK0(X0,vd165)) ),
inference(superposition,[],[f91,f133]) ).
fof(f133,plain,
! [X0,X1] :
( vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK0(X0,X1)) = X1
| X0 = X1 ),
inference(subsumption_resolution,[],[f79,f124]) ).
fof(f124,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( m(X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( m(X0)
| ( X0 != X1
& ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0 ) )
& ( X0 = X1
| vplus(X0,sK0(X0,X1)) = X1
| vplus(X1,sK1(X0,X1)) = X0
| ~ m(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f71,f73,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X4] : vplus(X0,X4) = X1
=> vplus(X0,sK0(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X5] : vplus(X1,X5) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1] :
( ( m(X0)
| ( X0 != X1
& ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0 ) )
& ( X0 = X1
| ? [X4] : vplus(X0,X4) = X1
| ? [X5] : vplus(X1,X5) = X0
| ~ m(X0) ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( m(X0)
| ( X0 != X1
& ! [X3] : vplus(X0,X3) != X1
& ! [X2] : vplus(X1,X2) != X0 ) )
& ( X0 = X1
| ? [X3] : vplus(X0,X3) = X1
| ? [X2] : vplus(X1,X2) = X0
| ~ m(X0) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( m(X0)
| ( X0 != X1
& ! [X3] : vplus(X0,X3) != X1
& ! [X2] : vplus(X1,X2) != X0 ) )
& ( X0 = X1
| ? [X3] : vplus(X0,X3) = X1
| ? [X2] : vplus(X1,X2) = X0
| ~ m(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( m(X0)
<=> ( X0 = X1
| ? [X3] : vplus(X0,X3) = X1
| ? [X2] : vplus(X1,X2) = X0 ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X2] :
( ( ? [X5] : vplus(X2,X5) = X3
| X2 = X3
| ? [X4] : vplus(X3,X4) = X2 )
<=> m(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
fof(f79,plain,
! [X0,X1] :
( X0 = X1
| vplus(X0,sK0(X0,X1)) = X1
| ~ m(X0)
| vplus(X1,sK1(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f74]) ).
fof(f91,plain,
! [X1] : vd151 != vplus(vd165,X1),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 08:56:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.25/0.52 % (3861)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.25/0.53 % (3856)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.53 % (3875)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)
% 1.25/0.53 % (3854)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.25/0.53 % (3867)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)
% 1.25/0.53 % (3873)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.25/0.53 % (3866)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.53 % (3877)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.54 % (3880)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.44/0.54 % (3865)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.54 % (3855)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.44/0.54 % (3857)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.54 % (3855)First to succeed.
% 1.44/0.54 % (3860)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.54 % (3871)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.54 % (3858)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.44/0.54 % (3855)Refutation found. Thanks to Tanya!
% 1.44/0.54 % SZS status Theorem for theBenchmark
% 1.44/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.54 % (3855)------------------------------
% 1.44/0.54 % (3855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (3855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (3855)Termination reason: Refutation
% 1.44/0.54
% 1.44/0.54 % (3855)Memory used [KB]: 1023
% 1.44/0.54 % (3855)Time elapsed: 0.134 s
% 1.44/0.54 % (3855)Instructions burned: 3 (million)
% 1.44/0.54 % (3855)------------------------------
% 1.44/0.54 % (3855)------------------------------
% 1.44/0.54 % (3852)Success in time 0.182 s
%------------------------------------------------------------------------------