%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG125+1 : 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 : n031.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 03:02:58 PM UTC 2025
% Result : Theorem 100.28s 12.94s
% Output : CNFRefutation 100.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 72 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 21 |; 9 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2091,plain,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
cnf(94,plain,
aElement0(xa),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l0,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[94]) ).
fof(mDefDvs,plain,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aElement0(W1)
& doDivides0(W1,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDvs) ).
cnf(75,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ doDivides0(X1,X0)
| aDivisorOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefDvs]) ).
cnf(l1,plain,
( ~ aElement0(xa)
| ~ aElement0(xu)
| ~ doDivides0(xu,xa)
| aDivisorOf0(xu,xa) ),
inference(instantiation,[status(thm)],[75]) ).
cnf(73,plain,
( ~ aElement0(X0)
| ~ aDivisorOf0(X1,X0)
| aElement0(X1) ),
inference(cnf,[status(esa)],[mDefDvs]) ).
cnf(l12,plain,
( ~ aElement0(xa)
| ~ aDivisorOf0(xu,xa)
| aElement0(xu) ),
inference(instantiation,[status(thm)],[73]) ).
fof(m__2479,plain,
~ ~ doDivides0(xu,xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
cnf(113,plain,
doDivides0(xu,xa),
inference(cnf,[status(esa)],[m__2479]) ).
cnf(l2,plain,
doDivides0(xu,xa),
inference(instantiation,[status(thm)],[113]) ).
cnf(l79,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| ~ doDivides0(xu,xb)
| aDivisorOf0(xu,xb) ),
inference(instantiation,[status(thm)],[75]) ).
fof(m__2383,plain,
~ ( aDivisorOf0(xu,xa)
& aDivisorOf0(xu,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
cnf(109,plain,
( ~ aDivisorOf0(xu,xa)
| ~ aDivisorOf0(xu,xb) ),
inference(cnf,[status(esa)],[m__2383]) ).
cnf(l80,plain,
( ~ aDivisorOf0(xu,xa)
| ~ aDivisorOf0(xu,xb) ),
inference(instantiation,[status(thm)],[109]) ).
fof(m__2612,plain,
~ ~ doDivides0(xu,xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
cnf(114,plain,
doDivides0(xu,xb),
inference(cnf,[status(esa)],[m__2612]) ).
cnf(l82,plain,
doDivides0(xu,xb),
inference(instantiation,[status(thm)],[114]) ).
cnf(95,plain,
aElement0(xb),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l83,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
fof(mEOfElem,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
cnf(23,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
cnf(l4,plain,
( ~ aElementOf0(xu,xI)
| ~ aSet0(xI)
| aElement0(xu) ),
inference(instantiation,[status(thm)],[23]) ).
fof(mDefIdeal,plain,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(48,plain,
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
cnf(l43,plain,
( ~ aIdeal0(xI)
| aSet0(xI) ),
inference(instantiation,[status(thm)],[48]) ).
fof(m__2273,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( aElementOf0(W0,xI)
& W0 != sz00 )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
cnf(106,plain,
aElementOf0(xu,xI),
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l22,plain,
aElementOf0(xu,xI),
inference(instantiation,[status(thm)],[106]) ).
fof(m__2174,plain,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
cnf(98,plain,
aIdeal0(xI),
inference(cnf,[status(esa)],[m__2174]) ).
cnf(l76,plain,
aIdeal0(xI),
inference(instantiation,[status(thm)],[98]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l2,l79,l80,l82,l83,l4,l43,l22,l76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG125+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 18:08:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.19/0.42 % launching worker at depth: 10
% 7.17/1.26 % launching worker at depth: 11
% 100.28/12.94 % SZS status Theorem for theBenchmark
% 100.28/12.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------