TSTP Solution File: NUM427+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n002.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 18:05:04 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 38 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 10 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f335,plain,
$false,
inference(subsumption_resolution,[],[f334,f79]) ).
fof(f79,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( aInteger0(xn)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__747) ).
fof(f334,plain,
~ aInteger0(xn),
inference(resolution,[],[f333,f110]) ).
fof(f110,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f333,plain,
~ aInteger0(smndt0(xn)),
inference(trivial_inequality_removal,[],[f332]) ).
fof(f332,plain,
( ~ aInteger0(smndt0(xn))
| sF3 != sF3 ),
inference(superposition,[],[f128,f207]) ).
fof(f207,plain,
sF4(smndt0(xn)) = sF3,
inference(forward_demodulation,[],[f206,f125]) ).
fof(f125,plain,
sF3 = sdtpldt0(xb,sF2),
introduced(function_definition,[]) ).
fof(f206,plain,
sF4(smndt0(xn)) = sdtpldt0(xb,sF2),
inference(superposition,[],[f131,f124]) ).
fof(f124,plain,
smndt0(xa) = sF2,
introduced(function_definition,[]) ).
fof(f131,plain,
sdtpldt0(xb,smndt0(xa)) = sF4(smndt0(xn)),
inference(forward_demodulation,[],[f100,f127]) ).
fof(f127,plain,
! [X0] : sdtasdt0(xq,X0) = sF4(X0),
introduced(function_definition,[]) ).
fof(f100,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/sandbox/benchmark/theBenchmark.p',m__767) ).
fof(f128,plain,
! [X0] :
( sF3 != sF4(X0)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f118,f125,f124,f127]) ).
fof(f118,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa)) )
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa))) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
( ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa)) )
| sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n002.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 06:43:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (30909)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (30909)First to succeed.
% 0.19/0.49 % (30917)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (30909)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 % (30909)------------------------------
% 0.19/0.51 % (30909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30909)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (30909)Memory used [KB]: 5628
% 0.19/0.51 % (30909)Time elapsed: 0.082 s
% 0.19/0.51 % (30909)Instructions burned: 10 (million)
% 0.19/0.51 % (30909)------------------------------
% 0.19/0.51 % (30909)------------------------------
% 0.19/0.51 % (30895)Success in time 0.159 s
%------------------------------------------------------------------------------