TSTP Solution File: NUM430+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM430+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n029.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 17:59:29 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 5 unt; 0 def)
% Number of atoms : 178 ( 39 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 196 ( 68 ~; 59 |; 57 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 58 ( 44 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f580,plain,
$false,
inference(avatar_sat_refutation,[],[f546,f568,f579]) ).
fof(f579,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| spl4_2 ),
inference(subsumption_resolution,[],[f576,f104]) ).
fof(f104,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
( aInteger0(xq)
& aInteger0(xb)
& aInteger0(xc)
& aInteger0(xa)
& sz00 != xq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(f576,plain,
( ~ aInteger0(xc)
| spl4_2 ),
inference(resolution,[],[f575,f87]) ).
fof(f87,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f575,plain,
( ~ aInteger0(smndt0(xc))
| spl4_2 ),
inference(subsumption_resolution,[],[f573,f105]) ).
fof(f105,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f22]) ).
fof(f573,plain,
( ~ aInteger0(xb)
| ~ aInteger0(smndt0(xc))
| spl4_2 ),
inference(resolution,[],[f545,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X1,X0)) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X1,X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f545,plain,
( ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| spl4_2 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl4_2
<=> aInteger0(sdtpldt0(xb,smndt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f568,plain,
( ~ spl4_2
| spl4_1 ),
inference(avatar_split_clause,[],[f567,f539,f543]) ).
fof(f539,plain,
( spl4_1
<=> aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f567,plain,
( ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| spl4_1 ),
inference(subsumption_resolution,[],[f565,f120]) ).
fof(f120,plain,
aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aInteger0(sK1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK2)
& aInteger0(sK2)
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f30,f81,f80]) ).
fof(f80,plain,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) )
=> ( aInteger0(sK1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X1] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1)
& aInteger0(X1) )
=> ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK2)
& aInteger0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X1] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1)
& aInteger0(X1) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
fof(f565,plain,
( ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| spl4_1 ),
inference(resolution,[],[f541,f94]) ).
fof(f94,plain,
! [X0,X1] :
( aInteger0(sK0(X0,X1))
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( ( sz00 != X1
& sdtasdt0(X1,sK0(X0,X1)) = X0
& aInteger0(sK0(X0,X1))
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| sz00 = X1
| ! [X3] :
( sdtasdt0(X1,X3) != X0
| ~ aInteger0(X3) )
| ~ aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
=> ( sdtasdt0(X1,sK0(X0,X1)) = X0
& aInteger0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( ( sz00 != X1
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| sz00 = X1
| ! [X3] :
( sdtasdt0(X1,X3) != X0
| ~ aInteger0(X3) )
| ~ aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( ( sz00 != X1
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| sz00 = X1
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| ~ aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( ( sz00 != X1
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| sz00 = X1
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| ~ aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( sz00 != X1
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1) )
<=> aDivisorOf0(X1,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( ( sz00 != X1
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& aInteger0(X1) )
<=> aDivisorOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(f541,plain,
( ~ aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq))
| spl4_1 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f546,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f537,f543,f539]) ).
fof(f537,plain,
( ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq)) ),
inference(subsumption_resolution,[],[f536,f120]) ).
fof(f536,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc))) ),
inference(resolution,[],[f158,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| sQ3_eqProxy(sdtasdt0(X1,sK0(X0,X1)),X0)
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f95,f132]) ).
fof(f132,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f95,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f158,plain,
! [X0] :
( ~ sQ3_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f126,f132]) ).
fof(f126,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM430+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:41:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (4403)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)
% 0.19/0.50 % (4406)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)
% 0.19/0.50 % (4410)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (4403)First to succeed.
% 0.19/0.50 % (4413)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)
% 0.19/0.50 % (4418)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51 % (4399)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)
% 0.19/0.51 % (4394)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (4397)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (4395)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)
% 0.19/0.51 % (4395)Instruction limit reached!
% 0.19/0.51 % (4395)------------------------------
% 0.19/0.51 % (4395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4395)Termination reason: Unknown
% 0.19/0.51 % (4395)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (4395)Memory used [KB]: 1407
% 0.19/0.51 % (4395)Time elapsed: 0.002 s
% 0.19/0.51 % (4395)Instructions burned: 3 (million)
% 0.19/0.51 % (4395)------------------------------
% 0.19/0.51 % (4395)------------------------------
% 0.19/0.51 % (4403)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (4403)------------------------------
% 0.19/0.51 % (4403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4403)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (4403)Memory used [KB]: 6140
% 0.19/0.51 % (4403)Time elapsed: 0.107 s
% 0.19/0.51 % (4403)Instructions burned: 8 (million)
% 0.19/0.51 % (4403)------------------------------
% 0.19/0.51 % (4403)------------------------------
% 0.19/0.51 % (4392)Success in time 0.169 s
%------------------------------------------------------------------------------