TSTP Solution File: NUM514+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM514+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 18:00:15 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 41 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 7 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f596,plain,
$false,
inference(subsumption_resolution,[],[f595,f397]) ).
fof(f397,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2613) ).
fof(f595,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(trivial_inequality_removal,[],[f594]) ).
fof(f594,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| sF23 != sF23 ),
inference(superposition,[],[f421,f592]) ).
fof(f592,plain,
sF23 = sF24(sdtsldt0(xk,xr)),
inference(forward_demodulation,[],[f591,f418]) ).
fof(f418,plain,
sdtasdt0(sF22,xm) = sF23,
introduced(function_definition,[]) ).
fof(f591,plain,
sdtasdt0(sF22,xm) = sF24(sdtsldt0(xk,xr)),
inference(forward_demodulation,[],[f590,f417]) ).
fof(f417,plain,
sdtsldt0(xn,xr) = sF22,
introduced(function_definition,[]) ).
fof(f590,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sF24(sdtsldt0(xk,xr)),
inference(forward_demodulation,[],[f399,f420]) ).
fof(f420,plain,
! [X0] : sdtasdt0(xp,X0) = sF24(X0),
introduced(function_definition,[]) ).
fof(f399,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f421,plain,
! [X0] :
( sF23 != sF24(X0)
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f251,f418,f417,f420]) ).
fof(f251,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,negated_conjecture,
~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
| ? [X0] :
( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM514+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 07:12:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (7281)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)
% 0.19/0.48 % (7292)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)
% 0.19/0.48 % (7283)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)
% 0.19/0.49 % (7273)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49 % (7268)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49 % (7280)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.49 % (7272)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)
% 0.19/0.49 % (7275)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)
% 0.19/0.50 % (7283)Instruction limit reached!
% 0.19/0.50 % (7283)------------------------------
% 0.19/0.50 % (7283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7283)Termination reason: Unknown
% 0.19/0.50 % (7283)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (7283)Memory used [KB]: 6140
% 0.19/0.50 % (7283)Time elapsed: 0.007 s
% 0.19/0.50 % (7283)Instructions burned: 7 (million)
% 0.19/0.50 % (7283)------------------------------
% 0.19/0.50 % (7283)------------------------------
% 0.19/0.50 % (7280)Instruction limit reached!
% 0.19/0.50 % (7280)------------------------------
% 0.19/0.50 % (7280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7299)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.50 % (7272)Instruction limit reached!
% 0.19/0.50 % (7272)------------------------------
% 0.19/0.50 % (7272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7272)Termination reason: Unknown
% 0.19/0.50 % (7272)Termination phase: Property scanning
% 0.19/0.50 % (7273)Instruction limit reached!
% 0.19/0.50 % (7273)------------------------------
% 0.19/0.50 % (7273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7282)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)
% 0.19/0.51 % (7291)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51
% 0.19/0.51 % (7272)Memory used [KB]: 1663
% 0.19/0.51 % (7272)Time elapsed: 0.008 s
% 0.19/0.51 % (7272)Instructions burned: 13 (million)
% 0.19/0.51 % (7272)------------------------------
% 0.19/0.51 % (7272)------------------------------
% 0.19/0.51 % (7273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7273)Termination reason: Unknown
% 0.19/0.51 % (7273)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (7273)Memory used [KB]: 1791
% 0.19/0.51 % (7273)Time elapsed: 0.106 s
% 0.19/0.51 % (7273)Instructions burned: 16 (million)
% 0.19/0.51 % (7273)------------------------------
% 0.19/0.51 % (7273)------------------------------
% 0.19/0.51 % (7268)First to succeed.
% 0.19/0.51 % (7268)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 % (7268)------------------------------
% 0.19/0.51 % (7268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7268)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (7268)Memory used [KB]: 6268
% 0.19/0.51 % (7268)Time elapsed: 0.095 s
% 0.19/0.51 % (7268)Instructions burned: 13 (million)
% 0.19/0.51 % (7268)------------------------------
% 0.19/0.51 % (7268)------------------------------
% 0.19/0.51 % (7259)Success in time 0.168 s
%------------------------------------------------------------------------------