TSTP Solution File: NUM549+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM549+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 : n006.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 18:05:45 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 106 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 43 ~; 40 |; 8 &)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 21 ( 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f591,plain,
$false,
inference(avatar_sat_refutation,[],[f326,f331,f349,f498,f561,f586]) ).
fof(f586,plain,
( ~ spl11_3
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f585,plain,
( $false
| ~ spl11_3
| ~ spl11_19 ),
inference(trivial_inequality_removal,[],[f571]) ).
fof(f571,plain,
( sz00 != sz00
| ~ spl11_3
| ~ spl11_19 ),
inference(superposition,[],[f221,f568]) ).
fof(f568,plain,
( sz00 = xk
| ~ spl11_3
| ~ spl11_19 ),
inference(forward_demodulation,[],[f564,f330]) ).
fof(f330,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl11_3
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f564,plain,
( xk = sbrdtbr0(slcrc0)
| ~ spl11_19 ),
inference(superposition,[],[f186,f493]) ).
fof(f493,plain,
( slcrc0 = xQ
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl11_19
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f186,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( aSet0(xQ)
& xk = sbrdtbr0(xQ)
& isFinite0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f221,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( aSet0(xT)
& aSet0(xS)
& sz00 != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f561,plain,
( spl11_19
| ~ spl11_4
| spl11_20 ),
inference(avatar_split_clause,[],[f560,f495,f335,f491]) ).
fof(f335,plain,
( spl11_4
<=> aSet0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f495,plain,
( spl11_20
<=> aElement0(sK5(xQ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f560,plain,
( ~ aSet0(xQ)
| slcrc0 = xQ
| spl11_20 ),
inference(resolution,[],[f475,f497]) ).
fof(f497,plain,
( ~ aElement0(sK5(xQ))
| spl11_20 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f475,plain,
! [X0] :
( aElement0(sK5(X0))
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f466]) ).
fof(f466,plain,
! [X0] :
( ~ aSet0(X0)
| slcrc0 = X0
| aElement0(sK5(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f234,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f234,plain,
! [X0] :
( aElementOf0(sK5(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f498,plain,
( ~ spl11_4
| spl11_19
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f474,f495,f491,f335]) ).
fof(f474,plain,
( ~ aElement0(sK5(xQ))
| slcrc0 = xQ
| ~ aSet0(xQ) ),
inference(resolution,[],[f234,f174]) ).
fof(f174,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
? [X0] :
( aElement0(X0)
& aElementOf0(X0,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f349,plain,
spl11_4,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| spl11_4 ),
inference(resolution,[],[f337,f187]) ).
fof(f187,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f337,plain,
( ~ aSet0(xQ)
| spl11_4 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f331,plain,
( ~ spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f314,f328,f318]) ).
fof(f318,plain,
( spl11_1
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f314,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f284]) ).
fof(f284,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ aSet0(X0)
| ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f326,plain,
spl11_1,
inference(avatar_split_clause,[],[f297,f318]) ).
fof(f297,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0] :
( slcrc0 != X0
| aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM549+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 06:59:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (23159)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (23176)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)
% 0.19/0.50 % (23163)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)
% 0.19/0.50 % (23167)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)
% 0.19/0.50 % (23162)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (23152)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)
% 0.19/0.50 % (23159)Instruction limit reached!
% 0.19/0.50 % (23159)------------------------------
% 0.19/0.50 % (23159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23159)Termination reason: Unknown
% 0.19/0.50 % (23159)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (23159)Memory used [KB]: 5628
% 0.19/0.50 % (23159)Time elapsed: 0.103 s
% 0.19/0.50 % (23159)Instructions burned: 8 (million)
% 0.19/0.50 % (23159)------------------------------
% 0.19/0.50 % (23159)------------------------------
% 0.19/0.50 % (23163)First to succeed.
% 0.19/0.51 % (23174)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)
% 0.19/0.51 % (23180)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)
% 0.19/0.51 % (23154)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 % (23155)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)
% 0.19/0.51 % (23166)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)
% 0.19/0.51 % (23153)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)
% 0.19/0.52 % (23157)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)
% 0.19/0.52 % (23176)Also succeeded, but the first one will report.
% 0.19/0.52 % (23163)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (23163)------------------------------
% 0.19/0.52 % (23163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23163)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (23163)Memory used [KB]: 5756
% 0.19/0.52 % (23163)Time elapsed: 0.109 s
% 0.19/0.52 % (23163)Instructions burned: 11 (million)
% 0.19/0.52 % (23163)------------------------------
% 0.19/0.52 % (23163)------------------------------
% 0.19/0.52 % (23151)Success in time 0.176 s
%------------------------------------------------------------------------------