TSTP Solution File: NUM505+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM505+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 : n020.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 18:05:30 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 106 ( 24 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 118 ( 46 ~; 39 |; 25 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f695,plain,
$false,
inference(avatar_sat_refutation,[],[f383,f401,f694]) ).
fof(f694,plain,
spl16_5,
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| spl16_5 ),
inference(subsumption_resolution,[],[f692,f340]) ).
fof(f340,plain,
~ sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ~ sdtlseqdt0(xp,xk)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xp,X0) != xk )
& ( xp = xk
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| xp != sdtpldt0(xk,X1) )
& ~ sdtlseqdt0(xk,xp) ) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
( ( xp = xk
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| xp != sdtpldt0(xk,X1) )
& ~ sdtlseqdt0(xk,xp) ) )
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xp,X0) != xk )
& ~ sdtlseqdt0(xp,xk) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
~ ( ~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xk )
| sdtlseqdt0(xp,xk) )
=> ( xp != xk
& ( ? [X1] :
( xp = sdtpldt0(xk,X1)
& aNaturalNumber0(X1) )
| sdtlseqdt0(xk,xp) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,negated_conjecture,
~ ( ~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xk )
| sdtlseqdt0(xp,xk) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X0] :
( aNaturalNumber0(X0)
& xp = sdtpldt0(xk,X0) ) )
& xp != xk ) ),
inference(negated_conjecture,[],[f50]) ).
fof(f50,conjecture,
( ~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xk )
| sdtlseqdt0(xp,xk) )
=> ( ( sdtlseqdt0(xk,xp)
| ? [X0] :
( aNaturalNumber0(X0)
& xp = sdtpldt0(xk,X0) ) )
& xp != xk ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f692,plain,
( sdtlseqdt0(xp,xk)
| spl16_5 ),
inference(subsumption_resolution,[],[f691,f228]) ).
fof(f228,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f691,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,xk)
| spl16_5 ),
inference(subsumption_resolution,[],[f676,f234]) ).
fof(f234,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f676,plain,
( ~ aNaturalNumber0(xk)
| sdtlseqdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| spl16_5 ),
inference(resolution,[],[f226,f378]) ).
fof(f378,plain,
( ~ sdtlseqdt0(xk,xp)
| spl16_5 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl16_5
<=> sdtlseqdt0(xk,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f226,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| ( sdtlseqdt0(X0,X1)
& X0 != X1 )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ( sdtlseqdt0(X0,X1)
& X0 != X1 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X1,X0)
| ( sdtlseqdt0(X0,X1)
& X0 != X1 ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X1,X0) )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f401,plain,
~ spl16_6,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f399,f228]) ).
fof(f399,plain,
( ~ aNaturalNumber0(xp)
| ~ spl16_6 ),
inference(resolution,[],[f247,f390]) ).
fof(f390,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl16_6 ),
inference(backward_demodulation,[],[f340,f382]) ).
fof(f382,plain,
( xp = xk
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl16_6
<=> xp = xk ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f247,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f383,plain,
( ~ spl16_5
| spl16_6 ),
inference(avatar_split_clause,[],[f337,f380,f376]) ).
fof(f337,plain,
( xp = xk
| ~ sdtlseqdt0(xk,xp) ),
inference(cnf_transformation,[],[f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n020.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 06:49:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (16465)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (16476)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (16464)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (16460)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (16478)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (16474)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)
% 0.20/0.52 % (16486)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)
% 0.20/0.52 % (16463)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (16483)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (16475)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (16461)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (16482)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (16465)First to succeed.
% 0.20/0.53 % (16480)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (16462)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)
% 0.20/0.53 % (16489)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (16468)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (16468)Instruction limit reached!
% 0.20/0.53 % (16468)------------------------------
% 0.20/0.53 % (16468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (16468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (16468)Termination reason: Unknown
% 0.20/0.53 % (16468)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (16468)Memory used [KB]: 1023
% 0.20/0.53 % (16481)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (16468)Time elapsed: 0.002 s
% 0.20/0.53 % (16468)Instructions burned: 3 (million)
% 0.20/0.53 % (16468)------------------------------
% 0.20/0.53 % (16468)------------------------------
% 0.20/0.53 % (16479)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (16472)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (16488)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (16466)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16465)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (16465)------------------------------
% 0.20/0.53 % (16465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (16465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (16465)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (16465)Memory used [KB]: 5884
% 0.20/0.53 % (16465)Time elapsed: 0.131 s
% 0.20/0.53 % (16465)Instructions burned: 23 (million)
% 0.20/0.53 % (16465)------------------------------
% 0.20/0.53 % (16465)------------------------------
% 0.20/0.53 % (16459)Success in time 0.177 s
%------------------------------------------------------------------------------