TSTP Solution File: NUM610+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM610+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 : n013.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 18:06:07 EDT 2022
% Result : Theorem 0.19s 0.61s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 63 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 13 |; 18 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 22 ( 14 !; 8 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_36,type,
sQ75_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_37,type,
sQ76_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_38,type,
sQ77_eqProxy: ( $real * $real ) > $o ).
fof(f1727,plain,
$false,
inference(subsumption_resolution,[],[f1726,f1723]) ).
fof(f1723,plain,
~ aElementOf0(sK25,xQ),
inference(resolution,[],[f1021,f1188]) ).
fof(f1188,plain,
~ aElementOf0(sK25,xO),
inference(literal_reordering,[],[f529]) ).
fof(f529,plain,
~ aElementOf0(sK25,xO),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
( ~ aSubsetOf0(xP,xO)
& ~ aElementOf0(sK25,xO)
& aElementOf0(sK25,xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f256,f314]) ).
fof(f314,plain,
( ? [X0] :
( ~ aElementOf0(X0,xO)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK25,xO)
& aElementOf0(sK25,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ~ aSubsetOf0(xP,xO)
& ? [X0] :
( ~ aElementOf0(X0,xO)
& aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xO) )
| aSubsetOf0(xP,xO) ),
inference(negated_conjecture,[],[f108]) ).
fof(f108,conjecture,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xO) )
| aSubsetOf0(xP,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1021,plain,
! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(literal_reordering,[],[f944]) ).
fof(f944,plain,
! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f519]) ).
fof(f519,plain,
( ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& slcrc0 != xQ
& aElementOf0(sK73,xQ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f517,f518]) ).
fof(f518,plain,
( ? [X1] : aElementOf0(X1,xQ)
=> aElementOf0(sK73,xQ) ),
introduced(choice_axiom,[]) ).
fof(f517,plain,
( ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& slcrc0 != xQ
& ? [X1] : aElementOf0(X1,xQ) ),
inference(rectify,[],[f277]) ).
fof(f277,plain,
( ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) )
& slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ) ),
inference(flattening,[],[f276]) ).
fof(f276,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ)
& ! [X1] :
( aElementOf0(X1,xO)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) ) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
( ~ ( slcrc0 = xQ
| ~ ? [X0] : aElementOf0(X0,xQ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(f1726,plain,
aElementOf0(sK25,xQ),
inference(resolution,[],[f1207,f1255]) ).
fof(f1255,plain,
aElementOf0(sK25,xP),
inference(literal_reordering,[],[f528]) ).
fof(f528,plain,
aElementOf0(sK25,xP),
inference(cnf_transformation,[],[f315]) ).
fof(f1207,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(literal_reordering,[],[f610]) ).
fof(f610,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) )
& aSubsetOf0(xP,xQ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,axiom,
( aSubsetOf0(xP,xQ)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM610+3 : 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
% 0.13/0.34 % Computer : n013.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 07:17:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (12315)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)
% 0.19/0.57 % (12307)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)
% 0.19/0.58 % (12323)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)
% 0.19/0.59 % (12305)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.59 % (12326)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.59 % (12301)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)
% 0.19/0.60 % (12304)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)
% 0.19/0.60 % (12314)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.60 % (12318)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.60 % (12315)First to succeed.
% 0.19/0.61 % (12324)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)
% 0.19/0.61 % (12302)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)
% 0.19/0.61 % (12315)Refutation found. Thanks to Tanya!
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.61 % (12315)------------------------------
% 0.19/0.61 % (12315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (12315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (12315)Termination reason: Refutation
% 0.19/0.61
% 0.19/0.61 % (12315)Memory used [KB]: 7036
% 0.19/0.61 % (12315)Time elapsed: 0.028 s
% 0.19/0.61 % (12315)Instructions burned: 33 (million)
% 0.19/0.61 % (12315)------------------------------
% 0.19/0.61 % (12315)------------------------------
% 0.19/0.61 % (12299)Success in time 0.259 s
%------------------------------------------------------------------------------