TSTP Solution File: NUM602+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM602+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 14:34:48 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 85 ( 33 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 81 ( 22 ~; 16 |; 39 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 16 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1192,plain,
$false,
inference(subsumption_resolution,[],[f1191,f1021]) ).
fof(f1021,plain,
sP34(xx),
inference(resolution,[],[f792,f663]) ).
fof(f663,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
( aElementOf0(xx,xO)
& xx = sdtlpdtrp0(xe,sK56)
& aElementOf0(sK56,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f98,f362]) ).
fof(f362,plain,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( xx = sdtlpdtrp0(xe,sK56)
& aElementOf0(sK56,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f98,axiom,
( aElementOf0(xx,xO)
& ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5009) ).
fof(f792,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sP34(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
! [X0] :
( sP34(X0)
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(definition_folding,[],[f144,f290]) ).
fof(f290,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ~ sP34(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f144,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ( ~ aElementOf0(X0,xO)
& ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X0] :
( ( aElementOf0(X0,xO)
| ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f1191,plain,
~ sP34(xx),
inference(resolution,[],[f1190,f787]) ).
fof(f787,plain,
! [X0] :
( aElementOf0(sK74(X0),szNzAzT0)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f450]) ).
fof(f450,plain,
! [X0] :
( ( sdtlpdtrp0(xe,sK74(X0)) = X0
& aElementOf0(sK74(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK74(X0))
& aElementOf0(sK74(X0),szNzAzT0) )
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK74])],[f448,f449]) ).
fof(f449,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlpdtrp0(xe,sK74(X0)) = X0
& aElementOf0(sK74(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK74(X0))
& aElementOf0(sK74(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f448,plain,
! [X0] :
( ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szNzAzT0) )
| ~ sP34(X0) ),
inference(rectify,[],[f447]) ).
fof(f447,plain,
! [X0] :
( ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,szNzAzT0) )
| ~ sP34(X0) ),
inference(nnf_transformation,[],[f290]) ).
fof(f1190,plain,
~ aElementOf0(sK74(xx),szNzAzT0),
inference(trivial_inequality_removal,[],[f1189]) ).
fof(f1189,plain,
( xx != xx
| ~ aElementOf0(sK74(xx),szNzAzT0) ),
inference(superposition,[],[f539,f1188]) ).
fof(f1188,plain,
xx = sdtlpdtrp0(xe,sK74(xx)),
inference(resolution,[],[f790,f1021]) ).
fof(f790,plain,
! [X0] :
( ~ sP34(X0)
| sdtlpdtrp0(xe,sK74(X0)) = X0 ),
inference(cnf_transformation,[],[f450]) ).
fof(f539,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f99]) ).
fof(f99,conjecture,
? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM602+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:07:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25439)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (25440)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (25442)WARNING: value z3 for option sas not known
% 0.14/0.38 % (25441)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (25443)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (25444)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (25442)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (25445)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (25446)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.42 % (25442)First to succeed.
% 0.20/0.43 % (25442)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (25442)------------------------------
% 0.20/0.43 % (25442)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.43 % (25442)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (25442)Memory used [KB]: 1708
% 0.20/0.43 % (25442)Time elapsed: 0.042 s
% 0.20/0.43 % (25442)Instructions burned: 45 (million)
% 0.20/0.43 % (25442)------------------------------
% 0.20/0.43 % (25442)------------------------------
% 0.20/0.43 % (25439)Success in time 0.075 s
%------------------------------------------------------------------------------