TSTP Solution File: NUM475+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM475+2 : 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 : n026.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 18:05:20 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 84 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 32 ~; 28 |; 15 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f449,plain,
$false,
inference(avatar_sat_refutation,[],[f321,f443]) ).
fof(f443,plain,
~ spl5_9,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl5_9 ),
inference(unit_resulting_resolution,[],[f180,f181,f310,f198,f233,f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X2
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X0)
| X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X0,X2] :
( ~ aNaturalNumber0(X1)
| X0 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1)
& sdtpldt0(X1,X0) != sdtpldt0(X1,X2) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X2,X1,X0] :
( X0 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1)
& sdtpldt0(X1,X0) != sdtpldt0(X1,X2) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X2,X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1)
| sdtpldt0(X1,X0) = sdtpldt0(X1,X2) )
=> X0 = X2 ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f233,plain,
sdtpldt0(xm,xn) = sdtpldt0(xm,sdtasdt0(xl,xr)),
inference(backward_demodulation,[],[f175,f161]) ).
fof(f161,plain,
xm = sdtasdt0(xl,xp),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
( aNaturalNumber0(xp)
& xp = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f175,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1459) ).
fof(f198,plain,
xn != sdtasdt0(xl,xr),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
xn != sdtasdt0(xl,xr),
inference(flattening,[],[f43]) ).
fof(f43,negated_conjecture,
xn != sdtasdt0(xl,xr),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
xn = sdtasdt0(xl,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f310,plain,
( aNaturalNumber0(sdtasdt0(xl,xr))
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl5_9
<=> aNaturalNumber0(sdtasdt0(xl,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f181,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f180,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f321,plain,
spl5_9,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| spl5_9 ),
inference(unit_resulting_resolution,[],[f179,f160,f311,f149]) ).
fof(f149,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f311,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,xr))
| spl5_9 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f160,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( aNaturalNumber0(xr)
& xr = sdtmndt0(xq,xp)
& xq = sdtpldt0(xp,xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).
fof(f179,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM475+2 : 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 : n026.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 06:52:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (31068)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)
% 0.19/0.46 % (31060)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (31044)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)
% 0.19/0.51 % (31050)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (31052)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (31049)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (31070)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (31064)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)
% 0.19/0.52 % (31059)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (31046)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (31051)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (31056)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)
% 0.19/0.52 % (31047)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)
% 0.19/0.53 % (31045)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)
% 0.19/0.53 % (31043)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)
% 0.19/0.53 % (31042)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)
% 0.19/0.53 % (31053)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (31050)Instruction limit reached!
% 0.19/0.53 % (31050)------------------------------
% 0.19/0.53 % (31050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31050)Termination reason: Unknown
% 0.19/0.53 % (31050)Termination phase: Preprocessing 1
% 0.19/0.53
% 0.19/0.53 % (31050)Memory used [KB]: 895
% 0.19/0.53 % (31050)Time elapsed: 0.003 s
% 0.19/0.53 % (31050)Instructions burned: 2 (million)
% 0.19/0.53 % (31050)------------------------------
% 0.19/0.53 % (31050)------------------------------
% 0.19/0.53 % (31062)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)
% 0.19/0.53 % (31063)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (31065)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)
% 0.19/0.53 % (31066)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (31054)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (31048)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)
% 0.19/0.54 % (31069)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (31055)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (31057)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)
% 0.19/0.54 % (31067)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (31071)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)
% 0.19/0.54 % (31049)Instruction limit reached!
% 0.19/0.54 % (31049)------------------------------
% 0.19/0.54 % (31049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (31049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (31049)Termination reason: Unknown
% 0.19/0.54 % (31049)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (31049)Memory used [KB]: 5628
% 0.19/0.54 % (31049)Time elapsed: 0.097 s
% 0.19/0.54 % (31049)Instructions burned: 8 (million)
% 0.19/0.54 % (31049)------------------------------
% 0.19/0.54 % (31049)------------------------------
% 0.19/0.54 % (31061)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)
% 0.19/0.54 % (31058)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)
% 0.19/0.55 % (31068)Instruction limit reached!
% 0.19/0.55 % (31068)------------------------------
% 0.19/0.55 % (31068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (31043)First to succeed.
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (31043)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (31043)------------------------------
% 0.19/0.55 % (31043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (31043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (31043)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (31043)Memory used [KB]: 5756
% 0.19/0.55 % (31043)Time elapsed: 0.149 s
% 0.19/0.55 % (31043)Instructions burned: 16 (million)
% 0.19/0.55 % (31043)------------------------------
% 0.19/0.55 % (31043)------------------------------
% 0.19/0.55 % (31041)Success in time 0.206 s
%------------------------------------------------------------------------------