%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM630+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Fri Jul 25 12:28:43 PM UTC 2025
% Result : Theorem 84.14s 10.93s
% Output : CNFRefutation 84.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 24 unt; 0 def)
% Number of atoms : 58 ( 21 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 38 ( 13 ~; 10 |; 10 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(226,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(instantiation,[status(thm)],[226]) ).
fof(m__4151,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,W0))
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& ! [W1] :
( ( aSet0(W1)
& aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
cnf(179,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf,[status(esa)],[m__4151]) ).
cnf(l2,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[179]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(7,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l5,plain,
( ~ aSet0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ aSubsetOf0(xP,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| aSet0(xP) ),
inference(instantiation,[status(thm)],[7]) ).
fof(m__5208,plain,
aSubsetOf0(xP,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5208) ).
cnf(216,plain,
aSubsetOf0(xP,xO),
inference(cnf,[status(esa)],[m__5208]) ).
cnf(l37,plain,
aSubsetOf0(xP,xO),
inference(instantiation,[status(thm)],[216]) ).
fof(m__4891,plain,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
cnf(198,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l45,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[198]) ).
cnf(l70,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[198]) ).
cnf(197,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l75,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
fof(m__5309,plain,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
cnf(220,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf,[status(esa)],[m__5309]) ).
cnf(l9,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[220]) ).
fof(m__5164,plain,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
cnf(212,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf,[status(esa)],[m__5164]) ).
cnf(l80,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(instantiation,[status(thm)],[212]) ).
fof(m__5585,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5585) ).
cnf(224,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(cnf,[status(esa)],[m__5585]) ).
cnf(l48,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(instantiation,[status(thm)],[224]) ).
cnf(l54,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(instantiation,[status(thm)],[212]) ).
fof(m__5599,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5599) ).
cnf(225,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(cnf,[status(esa)],[m__5599]) ).
cnf(l64,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(instantiation,[status(thm)],[225]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l5,l37,l45,l70,l75,l9,l80,l48,l54,l64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM630+1 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n017.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 : Mon Jul 21 13:18:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.19/0.44 % launching worker at depth: 11
% 10.76/1.72 % launching worker at depth: 12
% 84.14/10.93 % SZS status Theorem for theBenchmark
% 84.14/10.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------