TSTP Solution File: NUM633+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM633+1 : 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 18:06:14 EDT 2022
% Result : Theorem 1.52s 0.56s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 106 ( 30 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 124 ( 47 ~; 30 |; 37 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 38 ( 29 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f646,plain,
$false,
inference(subsumption_resolution,[],[f645,f627]) ).
fof(f627,plain,
sdtlpdtrp0(xc,sK19(sF30,xO)) != sF30,
inference(resolution,[],[f605,f626]) ).
fof(f626,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| sdtlpdtrp0(xc,sK19(X0,xO)) != X0 ),
inference(subsumption_resolution,[],[f625,f549]) ).
fof(f549,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f625,plain,
! [X0] :
( sdtlpdtrp0(xc,sK19(X0,xO)) != X0
| ~ isCountable0(xO)
| ~ aElementOf0(X0,xT) ),
inference(resolution,[],[f354,f480]) ).
fof(f480,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| sdtlpdtrp0(xc,sK19(X0,X1)) != X0
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ( sdtlpdtrp0(xc,sK19(X0,X1)) != X0
& aElementOf0(sK19(X0,X1),slbdtsldtrb0(X1,xK)) )
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1) ) )
& ! [X3] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3)
& slcrc0 != X3
& aSubsetOf0(X3,szNzAzT0)
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f318,f319]) ).
fof(f319,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
=> ( sdtlpdtrp0(xc,sK19(X0,X1)) != X0
& aElementOf0(sK19(X0,X1),slbdtsldtrb0(X1,xK)) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
( ! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1) ) )
& ! [X3] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3)
& slcrc0 != X3
& aSubsetOf0(X3,szNzAzT0)
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
( ! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) != X1
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2) ) )
& ! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0)
& aElementOf0(X0,szDzozmdt0(xc)) )
| ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
~ ( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0)
& aElementOf0(X0,szDzozmdt0(xc)) ) )
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,xS)
& isCountable0(X2)
& ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
inference(rectify,[],[f100]) ).
fof(f100,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0)
& aElementOf0(X0,szDzozmdt0(xc)) ) )
=> ? [X0] :
( aElementOf0(X0,xT)
& ? [X1] :
( isCountable0(X1)
& ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& aSubsetOf0(X1,xS) ) ) ),
inference(negated_conjecture,[],[f99]) ).
fof(f99,conjecture,
( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0)
& aElementOf0(X0,szDzozmdt0(xc)) ) )
=> ? [X0] :
( aElementOf0(X0,xT)
& ? [X1] :
( isCountable0(X1)
& ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& aSubsetOf0(X1,xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f354,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f605,plain,
aElementOf0(sF30,xT),
inference(forward_demodulation,[],[f536,f597]) ).
fof(f597,plain,
szDzizrdt0(xd) = sF30,
introduced(function_definition,[]) ).
fof(f536,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f94]) ).
fof(f94,axiom,
( aElementOf0(szDzizrdt0(xd),xT)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f645,plain,
sdtlpdtrp0(xc,sK19(sF30,xO)) = sF30,
inference(resolution,[],[f644,f605]) ).
fof(f644,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| sF30 = sdtlpdtrp0(xc,sK19(X0,xO)) ),
inference(resolution,[],[f643,f599]) ).
fof(f599,plain,
! [X3] :
( ~ aElementOf0(X3,sF31)
| sF30 = sdtlpdtrp0(xc,X3) ),
inference(definition_folding,[],[f478,f598,f597]) ).
fof(f598,plain,
slbdtsldtrb0(xO,xK) = sF31,
introduced(function_definition,[]) ).
fof(f478,plain,
! [X3] :
( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3)
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ),
inference(cnf_transformation,[],[f320]) ).
fof(f643,plain,
! [X0] :
( aElementOf0(sK19(X0,xO),sF31)
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f642,f549]) ).
fof(f642,plain,
! [X0] :
( aElementOf0(sK19(X0,xO),sF31)
| ~ isCountable0(xO)
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f641,f354]) ).
fof(f641,plain,
! [X0] :
( aElementOf0(sK19(X0,xO),sF31)
| ~ aSubsetOf0(xO,xS)
| ~ isCountable0(xO)
| ~ aElementOf0(X0,xT) ),
inference(superposition,[],[f479,f598]) ).
fof(f479,plain,
! [X0,X1] :
( aElementOf0(sK19(X0,X1),slbdtsldtrb0(X1,xK))
| ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) ),
inference(cnf_transformation,[],[f320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM633+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 07:49:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (19832)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)
% 0.21/0.51 % (19848)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)
% 0.21/0.51 % (19840)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)
% 0.21/0.53 % (19843)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)
% 1.29/0.53 % (19835)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)
% 1.29/0.53 % (19826)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)
% 1.29/0.53 % (19821)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)
% 1.29/0.54 % (19825)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.54 % (19827)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)
% 1.29/0.54 % (19836)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)
% 1.29/0.54 % (19822)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)
% 1.29/0.54 % (19847)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)
% 1.29/0.54 % (19824)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)
% 1.29/0.54 % (19850)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)
% 1.29/0.54 % (19823)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)
% 1.29/0.54 % (19845)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.29/0.55 % (19849)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.55 % (19842)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.29/0.55 % (19839)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.55 % (19841)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)
% 1.29/0.55 % (19829)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.55 % (19830)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)
% 1.29/0.55 % (19829)Instruction limit reached!
% 1.29/0.55 % (19829)------------------------------
% 1.29/0.55 % (19829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.55 % (19829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.55 % (19829)Termination reason: Unknown
% 1.29/0.55 % (19829)Termination phase: Preprocessing 3
% 1.29/0.55
% 1.29/0.55 % (19829)Memory used [KB]: 1151
% 1.29/0.55 % (19829)Time elapsed: 0.003 s
% 1.29/0.55 % (19829)Instructions burned: 3 (million)
% 1.29/0.55 % (19829)------------------------------
% 1.29/0.55 % (19829)------------------------------
% 1.29/0.55 % (19834)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.55 % (19833)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.29/0.55 % (19838)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.56 % (19837)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)
% 1.52/0.56 % (19831)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.56 % (19848)First to succeed.
% 1.52/0.56 % (19844)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)
% 1.52/0.56 % (19848)Refutation found. Thanks to Tanya!
% 1.52/0.56 % SZS status Theorem for theBenchmark
% 1.52/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56 % (19848)------------------------------
% 1.52/0.56 % (19848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (19848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (19848)Termination reason: Refutation
% 1.52/0.56
% 1.52/0.56 % (19848)Memory used [KB]: 1407
% 1.52/0.56 % (19848)Time elapsed: 0.144 s
% 1.52/0.56 % (19848)Instructions burned: 19 (million)
% 1.52/0.56 % (19848)------------------------------
% 1.52/0.56 % (19848)------------------------------
% 1.52/0.56 % (19820)Success in time 0.201 s
%------------------------------------------------------------------------------