TSTP Solution File: NUM427+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM427+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 : n001.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 17:59:28 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 39 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 12 |; 5 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,plain,
$false,
inference(avatar_sat_refutation,[],[f187,f190]) ).
fof(f190,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f189,plain,
( $false
| spl2_5 ),
inference(subsumption_resolution,[],[f188,f99]) ).
fof(f99,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn)
& aInteger0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__747) ).
fof(f188,plain,
( ~ aInteger0(xn)
| spl2_5 ),
inference(resolution,[],[f181,f77]) ).
fof(f77,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,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(f181,plain,
( ~ aInteger0(smndt0(xn))
| spl2_5 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl2_5
<=> aInteger0(smndt0(xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f187,plain,
~ spl2_5,
inference(avatar_split_clause,[],[f176,f179]) ).
fof(f176,plain,
~ aInteger0(smndt0(xn)),
inference(trivial_inequality_removal,[],[f174]) ).
fof(f174,plain,
( ~ aInteger0(smndt0(xn))
| sdtpldt0(xb,smndt0(xa)) != sdtpldt0(xb,smndt0(xa)) ),
inference(superposition,[],[f109,f85]) ).
fof(f85,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__767) ).
fof(f109,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X0) )
& ~ sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ( aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X0) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
( aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 06:52:01 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.46 % (30858)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)
% 0.15/0.47 % (30858)Instruction limit reached!
% 0.15/0.47 % (30858)------------------------------
% 0.15/0.47 % (30858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (30867)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)
% 0.15/0.47 % (30859)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)
% 0.15/0.47 % (30858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (30858)Termination reason: Unknown
% 0.15/0.47 % (30858)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (30858)Memory used [KB]: 1407
% 0.15/0.47 % (30858)Time elapsed: 0.003 s
% 0.15/0.47 % (30858)Instructions burned: 3 (million)
% 0.15/0.47 % (30858)------------------------------
% 0.15/0.47 % (30858)------------------------------
% 0.15/0.48 % (30850)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)
% 0.15/0.48 % (30851)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)
% 0.15/0.48 % (30850)First to succeed.
% 0.15/0.48 % (30859)Instruction limit reached!
% 0.15/0.48 % (30859)------------------------------
% 0.15/0.48 % (30859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30850)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (30850)------------------------------
% 0.15/0.48 % (30850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30850)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (30850)Memory used [KB]: 6012
% 0.15/0.48 % (30850)Time elapsed: 0.113 s
% 0.15/0.48 % (30850)Instructions burned: 5 (million)
% 0.15/0.48 % (30850)------------------------------
% 0.15/0.48 % (30850)------------------------------
% 0.15/0.48 % (30843)Success in time 0.173 s
%------------------------------------------------------------------------------