%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG112+4 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 03:02:56 PM UTC 2025
% Result : Theorem 241.12s 30.59s
% Output : CNFRefutation 241.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 57 ( 25 unt; 0 def)
% Number of atoms : 162 ( 58 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 179 ( 74 ~; 64 |; 35 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 86 ( 39 sgn 6 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 )
| aElementOf0(W0,xI) )
& W0 != sz00
& ! [W1] :
( ( ? [W2,W3] :
( aElementOf0(W2,slsdtgt0(xa))
& aElementOf0(W3,slsdtgt0(xb))
& sdtpldt0(W2,W3) = W1 )
& aElementOf0(W1,xI)
& W1 != sz00 )
=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 )
| aElementOf0(W0,xI) )
& W0 != sz00
& ! [W1] :
( ( ? [W2,W3] :
( aElementOf0(W2,slsdtgt0(xa))
& aElementOf0(W3,slsdtgt0(xb))
& sdtpldt0(W2,W3) = W1 )
& aElementOf0(W1,xI)
& W1 != sz00 )
=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(164,plain,
( sdtpldt0(X0,X1) != X2
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb))
| X2 = sz00
| sP9(X2) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( sdtpldt0(sK51(sK43),sK52(sK43)) != sK50(sK43)
| ~ aElementOf0(sK51(sK43),slsdtgt0(xa))
| ~ aElementOf0(sK52(sK43),slsdtgt0(xb))
| sK50(sK43) = sz00
| sP9(sK50(sK43)) ),
inference(instantiation,[status(thm)],[164]) ).
fof(m__2351,plain,
! [W0] :
( ( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 )
| aElementOf0(W0,xI) )
& W0 != sz00 )
=> ? [W1] :
( ? [W2,W3] :
( aElementOf0(W2,slsdtgt0(xa))
& aElementOf0(W3,slsdtgt0(xb))
& sdtpldt0(W2,W3) = W1 )
& aElementOf0(W1,xI)
& W1 != sz00
& ! [W2] :
( ( ( ? [W3,W4] :
( aElementOf0(W3,slsdtgt0(xa))
& aElementOf0(W4,slsdtgt0(xb))
& sdtpldt0(W3,W4) = W2 )
| aElementOf0(W2,xI) )
& W2 != sz00 )
=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2351) ).
cnf(161,plain,
( sdtpldt0(sK51(X0),sK52(X0)) = sK50(X0)
| ~ sP8(X1,X2,X0,X3) ),
inference(cnf,[status(esa)],[m__2351]) ).
cnf(l2,plain,
( sdtpldt0(sK51(sK43),sK52(sK43)) = sK50(sK43)
| ~ sP8(X3_13,X4_13,sK43,X5_13) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(155,plain,
( sdtpldt0(X0,X1) != X2
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb))
| X2 = sz00
| sP8(X3,X4,X2,X5) ),
inference(cnf,[status(esa)],[m__2351]) ).
cnf(l13,plain,
( sdtpldt0(sK48,sK49) != sK43
| ~ aElementOf0(sK48,slsdtgt0(xa))
| ~ aElementOf0(sK49,slsdtgt0(xb))
| sK43 = sz00
| sP8(X3_13,X4_13,sK43,X5_13) ),
inference(instantiation,[status(thm)],[155]) ).
cnf(162,plain,
( aElementOf0(sK52(X0),slsdtgt0(xb))
| ~ sP8(X1,X2,X0,X3) ),
inference(cnf,[status(esa)],[m__2351]) ).
cnf(l20,plain,
( aElementOf0(sK52(sK43),slsdtgt0(xb))
| ~ sP8(X3_52,X4_52,sK43,X5_52) ),
inference(instantiation,[status(thm)],[162]) ).
fof(m__2228,plain,
? [W0] :
( ! [W1] :
( aElementOf0(W1,slsdtgt0(xa))
<=> ? [W2] :
( aElement0(W2)
& sdtasdt0(xa,W2) = W1 ) )
& ! [W1] :
( aElementOf0(W1,slsdtgt0(xb))
<=> ? [W2] :
( aElement0(W2)
& sdtasdt0(xb,W2) = W1 ) )
& ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 )
& aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& W0 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
cnf(150,plain,
aElementOf0(sK48,slsdtgt0(xa)),
inference(cnf,[status(esa)],[m__2228]) ).
cnf(l180,plain,
aElementOf0(sK48,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[150]) ).
cnf(l52,plain,
( sdtpldt0(sK48,sK49) != sK43
| ~ aElementOf0(sK48,slsdtgt0(xa))
| ~ aElementOf0(sK49,slsdtgt0(xb))
| sK43 = sz00
| sP8(X3_52,X4_52,sK43,X5_52) ),
inference(instantiation,[status(thm)],[155]) ).
cnf(151,plain,
aElementOf0(sK49,slsdtgt0(xb)),
inference(cnf,[status(esa)],[m__2228]) ).
cnf(l331,plain,
aElementOf0(sK49,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[151]) ).
cnf(171,plain,
( aElementOf0(sK54(X0),slsdtgt0(xa))
| ~ sP9(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l11,plain,
( aElementOf0(sK54(sK50(sK43)),slsdtgt0(xa))
| ~ sP9(sK50(sK43)) ),
inference(instantiation,[status(thm)],[171]) ).
cnf(163,plain,
( aElementOf0(sK51(X0),slsdtgt0(xa))
| ~ sP8(X1,X2,X0,X3) ),
inference(cnf,[status(esa)],[m__2351]) ).
cnf(l1,plain,
( aElementOf0(sK51(sK43),slsdtgt0(xa))
| ~ sP8(X3_24,X4_24,sK43,X5_24) ),
inference(instantiation,[status(thm)],[163]) ).
cnf(152,plain,
sdtpldt0(sK48,sK49) = sK43,
inference(cnf,[status(esa)],[m__2228]) ).
cnf(l54,plain,
sdtpldt0(sK48,sK49) = sK43,
inference(instantiation,[status(thm)],[152]) ).
cnf(l62,plain,
aElementOf0(sK48,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[150]) ).
cnf(l221,plain,
aElementOf0(sK49,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[151]) ).
cnf(l101,plain,
sdtpldt0(sK48,sK49) = sK43,
inference(instantiation,[status(thm)],[152]) ).
cnf(l24,plain,
( sdtpldt0(sK48,sK49) != sK43
| ~ aElementOf0(sK48,slsdtgt0(xa))
| ~ aElementOf0(sK49,slsdtgt0(xb))
| sK43 = sz00
| sP8(X3_24,X4_24,sK43,X5_24) ),
inference(instantiation,[status(thm)],[155]) ).
cnf(l51,plain,
sdtpldt0(sK48,sK49) = sK43,
inference(instantiation,[status(thm)],[152]) ).
cnf(l39,plain,
aElementOf0(sK49,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[151]) ).
cnf(l41,plain,
aElementOf0(sK48,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[150]) ).
cnf(158,plain,
( sdtpldt0(X0,X1) != X2
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK50(X3)))
| X2 = sz00
| ~ sP8(X0,X2,X3,X1) ),
inference(cnf,[status(esa)],[m__2351]) ).
cnf(l17,plain,
( sdtpldt0(sK54(sK50(sK43)),sK55(sK50(sK43))) != sK53(sK50(sK43))
| ~ aElementOf0(sK54(sK50(sK43)),slsdtgt0(xa))
| ~ aElementOf0(sK55(sK50(sK43)),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(sK53(sK50(sK43))),sbrdtbr0(sK50(sK43)))
| sK53(sK50(sK43)) = sz00
| ~ sP8(sK54(sK50(sK43)),sK53(sK50(sK43)),sK43,sK55(sK50(sK43))) ),
inference(instantiation,[status(thm)],[158]) ).
cnf(154,plain,
sK43 != sz00,
inference(cnf,[status(esa)],[m__2228]) ).
cnf(l30,plain,
sK43 != sz00,
inference(instantiation,[status(thm)],[154]) ).
cnf(166,plain,
( iLess0(sbrdtbr0(sK53(X0)),sbrdtbr0(X0))
| ~ sP9(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l97,plain,
( iLess0(sbrdtbr0(sK53(sK50(sK43))),sbrdtbr0(sK50(sK43)))
| ~ sP9(sK50(sK43)) ),
inference(instantiation,[status(thm)],[166]) ).
cnf(169,plain,
( sdtpldt0(sK54(X0),sK55(X0)) = sK53(X0)
| ~ sP9(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l103,plain,
( sdtpldt0(sK54(sK50(sK43)),sK55(sK50(sK43))) = sK53(sK50(sK43))
| ~ sP9(sK50(sK43)) ),
inference(instantiation,[status(thm)],[169]) ).
cnf(167,plain,
( sK53(X0) != sz00
| ~ sP9(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l136,plain,
( sK53(sK50(sK43)) != sz00
| ~ sP9(sK50(sK43)) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(l61,plain,
sK43 != sz00,
inference(instantiation,[status(thm)],[154]) ).
cnf(l144,plain,
( sdtpldt0(sK48,sK49) != sK43
| ~ aElementOf0(sK48,slsdtgt0(xa))
| ~ aElementOf0(sK49,slsdtgt0(xb))
| sK43 = sz00
| sP8(sK54(sK50(sK43)),sK53(sK50(sK43)),sK43,sK55(sK50(sK43))) ),
inference(instantiation,[status(thm)],[155]) ).
cnf(l785,plain,
sK43 != sz00,
inference(instantiation,[status(thm)],[154]) ).
cnf(l531,plain,
sdtpldt0(sK48,sK49) = sK43,
inference(instantiation,[status(thm)],[152]) ).
cnf(l800,plain,
aElementOf0(sK49,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[151]) ).
cnf(l183,plain,
sK43 != sz00,
inference(instantiation,[status(thm)],[154]) ).
cnf(l574,plain,
aElementOf0(sK48,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[150]) ).
cnf(170,plain,
( aElementOf0(sK55(X0),slsdtgt0(xb))
| ~ sP9(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l26,plain,
( aElementOf0(sK55(sK50(sK43)),slsdtgt0(xb))
| ~ sP9(sK50(sK43)) ),
inference(instantiation,[status(thm)],[170]) ).
cnf(l274,plain,
( sdtpldt0(sK48,sK49) != sK43
| ~ aElementOf0(sK48,slsdtgt0(xa))
| ~ aElementOf0(sK49,slsdtgt0(xb))
| sK43 = sz00
| sP8(X1_276,X2_276,sK43,X3_276) ),
inference(instantiation,[status(thm)],[155]) ).
cnf(159,plain,
( sK50(X0) != sz00
| ~ sP8(X1,X2,X0,X3) ),
inference(cnf,[status(esa)],[m__2351]) ).
cnf(l276,plain,
( sK50(sK43) != sz00
| ~ sP8(X1_276,X2_276,sK43,X3_276) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(l277,plain,
sdtpldt0(sK48,sK49) = sK43,
inference(instantiation,[status(thm)],[152]) ).
cnf(l275,plain,
aElementOf0(sK48,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[150]) ).
cnf(l528,plain,
sK43 != sz00,
inference(instantiation,[status(thm)],[154]) ).
cnf(l323,plain,
aElementOf0(sK49,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[151]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l13,l20,l180,l52,l331,l11,l1,l54,l62,l221,l101,l24,l51,l39,l41,l17,l30,l97,l103,l136,l61,l144,l785,l531,l800,l183,l574,l26,l274,l276,l277,l275,l528,l323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG112+4 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 18:03:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.36 % launching worker at depth: 9
% 0.18/0.44 % launching worker at depth: 10
% 7.97/1.33 % launching worker at depth: 11
% 241.12/30.59 % SZS status Theorem for theBenchmark
% 241.12/30.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------