TSTP Solution File: NUM835+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n023.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 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 79 ( 65 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 85 ( 30 ~; 35 |; 16 &)
% ( 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 : 57 ( 39 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f237,plain,
$false,
inference(subsumption_resolution,[],[f236,f156]) ).
fof(f156,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ! [X0] : vd165 != vplus(vd151,X0)
& vd165 != vd151
& ! [X1] : vd151 != vplus(vd165,X1) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
( ! [X1] : vd165 != vplus(vd151,X1)
& vd165 != vd151
& ! [X0] : vd151 != vplus(vd165,X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
~ ( vd165 = vd151
| ? [X0] : vd151 = vplus(vd165,X0)
| ? [X1] : vd165 = vplus(vd151,X1) ),
inference(rectify,[],[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/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
fof(f236,plain,
vd165 = vd151,
inference(subsumption_resolution,[],[f235,f157]) ).
fof(f157,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(cnf_transformation,[],[f122]) ).
fof(f235,plain,
( vd165 = vplus(vd151,sK1(vd151,vd165))
| vd165 = vd151 ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X1] :
( vd151 != X1
| vd165 = vplus(X1,sK1(X1,vd165))
| vd165 = X1 ),
inference(superposition,[],[f155,f228]) ).
fof(f228,plain,
! [X2,X1] :
( vplus(X2,sK0(X1,X2)) = X1
| vplus(X1,sK1(X1,X2)) = X2
| X1 = X2 ),
inference(resolution,[],[f149,f211]) ).
fof(f211,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X4] :
( m(X1)
| vplus(X1,X4) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( X0 = X1
| vplus(X1,sK0(X0,X1)) = X0
| vplus(X0,sK1(X0,X1)) = X1
| ~ m(X1) )
& ( m(X1)
| ( X0 != X1
& ! [X4] : vplus(X1,X4) != X0
& ! [X5] : vplus(X0,X5) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f117,f119,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
=> vplus(X1,sK0(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK1(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] : vplus(X1,X2) = X0
| ? [X3] : vplus(X0,X3) = X1
| ~ m(X1) )
& ( m(X1)
| ( X0 != X1
& ! [X4] : vplus(X1,X4) != X0
& ! [X5] : vplus(X0,X5) != X1 ) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ( X0 = X1
| ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0 ) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X1,X0] :
( ( X0 = X1
| ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X2] : vplus(X0,X2) != X1
& ! [X3] : vplus(X1,X3) != X0 ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ( X0 = X1
| ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0 )
<=> m(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X4] :
( ( ? [X6] : vplus(X5,X6) = X4
| X4 = X5
| ? [X7] : vplus(X4,X7) = X5 )
<=> m(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
fof(f149,plain,
! [X0,X1] :
( ~ m(X1)
| vplus(X0,sK1(X0,X1)) = X1
| vplus(X1,sK0(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f120]) ).
fof(f155,plain,
! [X1] : vd151 != vplus(vd165,X1),
inference(cnf_transformation,[],[f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.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 09:20:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (22158)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (22175)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)
% 0.20/0.51 % (22157)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)
% 0.20/0.51 % (22149)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)
% 0.20/0.51 % (22166)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (22159)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (22149)First to succeed.
% 0.20/0.52 % (22149)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 % (22149)------------------------------
% 0.20/0.52 % (22149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (22149)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (22149)Memory used [KB]: 1023
% 0.20/0.52 % (22149)Time elapsed: 0.105 s
% 0.20/0.52 % (22149)Instructions burned: 4 (million)
% 0.20/0.52 % (22149)------------------------------
% 0.20/0.52 % (22149)------------------------------
% 0.20/0.52 % (22144)Success in time 0.16 s
%------------------------------------------------------------------------------