TSTP Solution File: RNG087+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG087+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 : n024.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 18:15:45 EDT 2022
% Result : Theorem 0.38s 0.71s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 76 ( 20 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 74 ( 17 ~; 9 |; 46 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 28 ( 6 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(subsumption_resolution,[],[f195,f154]) ).
fof(f154,plain,
aElementOf0(sK8,xJ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(sK6,xI)
& aElementOf0(sK5,xJ)
& xx = sdtpldt0(sK6,sK5)
& aElement0(xz)
& aElementOf0(sK7,xI)
& aElementOf0(sK8,xJ)
& xy = sdtpldt0(sK7,sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f96,f98,f97]) ).
fof(f97,plain,
( ? [X0,X1] :
( aElementOf0(X1,xI)
& aElementOf0(X0,xJ)
& sdtpldt0(X1,X0) = xx )
=> ( aElementOf0(sK6,xI)
& aElementOf0(sK5,xJ)
& xx = sdtpldt0(sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& xy = sdtpldt0(X2,X3) )
=> ( aElementOf0(sK7,xI)
& aElementOf0(sK8,xJ)
& xy = sdtpldt0(sK7,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( aElementOf0(X1,xI)
& aElementOf0(X0,xJ)
& sdtpldt0(X1,X0) = xx )
& aElement0(xz)
& ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& xy = sdtpldt0(X2,X3) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
( aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( aElementOf0(X3,xI)
& aElementOf0(X2,xJ)
& xx = sdtpldt0(X3,X2) )
& aElement0(xz)
& ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xy ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xy )
& ? [X1,X0] :
( aElementOf0(X0,xI)
& sdtpldt0(X0,X1) = xx
& aElementOf0(X1,xJ) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
fof(f195,plain,
~ aElementOf0(sK8,xJ),
inference(subsumption_resolution,[],[f194,f155]) ).
fof(f155,plain,
aElementOf0(sK7,xI),
inference(cnf_transformation,[],[f99]) ).
fof(f194,plain,
( ~ aElementOf0(sK7,xI)
| ~ aElementOf0(sK8,xJ) ),
inference(trivial_inequality_removal,[],[f193]) ).
fof(f193,plain,
( xy != xy
| ~ aElementOf0(sK8,xJ)
| ~ aElementOf0(sK7,xI) ),
inference(superposition,[],[f181,f153]) ).
fof(f153,plain,
xy = sdtpldt0(sK7,sK8),
inference(cnf_transformation,[],[f99]) ).
fof(f181,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xy
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sdtpldt0(X0,X1) != xy ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xJ)
| sdtpldt0(X1,X0) != xy ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ? [X1,X0] :
( aElementOf0(X0,xJ)
& aElementOf0(X1,xI)
& sdtpldt0(X1,X0) = xy ),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ? [X1,X0] :
( aElementOf0(X0,xI)
& sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
? [X1,X0] :
( aElementOf0(X0,xI)
& sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG087+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % 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 : n024.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 12:07:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 ipcrm: permission denied for id (669777920)
% 0.13/0.37 ipcrm: permission denied for id (669810697)
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% 0.38/0.70 % (302)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 (2998ds/75Mi)
% 0.38/0.70 % (32767)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 0.38/0.70 % (32762)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.38/0.70 % (315)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 0.38/0.70 % (32762)Instruction limit reached!
% 0.38/0.70 % (32762)------------------------------
% 0.38/0.70 % (32762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.38/0.71 % (310)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 (2998ds/467Mi)
% 0.38/0.71 % (32762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.38/0.71 % (32762)Termination reason: Unknown
% 0.38/0.71 % (32762)Termination phase: Saturation
% 0.38/0.71
% 0.38/0.71 % (32762)Memory used [KB]: 5628
% 0.38/0.71 % (32762)Time elapsed: 0.110 s
% 0.38/0.71 % (32762)Instructions burned: 8 (million)
% 0.38/0.71 % (32762)------------------------------
% 0.38/0.71 % (32762)------------------------------
% 0.38/0.71 % (307)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 (2998ds/176Mi)
% 0.38/0.71 % (302)First to succeed.
% 0.38/0.71 % (315)Also succeeded, but the first one will report.
% 0.38/0.71 % (302)Refutation found. Thanks to Tanya!
% 0.38/0.71 % SZS status Theorem for theBenchmark
% 0.38/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.71 % (302)------------------------------
% 0.38/0.71 % (302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.38/0.71 % (302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.38/0.71 % (302)Termination reason: Refutation
% 0.38/0.71
% 0.38/0.71 % (302)Memory used [KB]: 1023
% 0.38/0.71 % (302)Time elapsed: 0.122 s
% 0.38/0.71 % (302)Instructions burned: 6 (million)
% 0.38/0.71 % (302)------------------------------
% 0.38/0.71 % (302)------------------------------
% 0.38/0.71 % (32589)Success in time 0.353 s
%------------------------------------------------------------------------------