%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG116+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 8.13s 1.35s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 30 ( 13 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 21 ( 7 ~; 4 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 0 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(175,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sK52)
| ~ aElement0(sK53)
| xu != sdtpldt0(sdtasdt0(xa,sK52),sdtasdt0(xb,sK53)) ),
inference(instantiation,[status(thm)],[175]) ).
fof(m__2456,plain,
( ? [W0] :
( aElement0(W0)
& sdtasdt0(xa,W0) = xk )
& aElementOf0(xk,slsdtgt0(xa))
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xb,W0) = xl )
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2456) ).
cnf(172,plain,
sdtasdt0(xb,sK53) = xl,
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l36,plain,
sdtasdt0(xb,sK53) = xl,
inference(instantiation,[status(thm)],[172]) ).
cnf(169,plain,
sdtasdt0(xa,sK52) = xk,
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l32,plain,
sdtasdt0(xa,sK52) = xk,
inference(instantiation,[status(thm)],[169]) ).
cnf(174,plain,
xu = sdtpldt0(xk,xl),
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l59,plain,
xu = sdtpldt0(xk,xl),
inference(instantiation,[status(thm)],[174]) ).
cnf(168,plain,
aElement0(sK52),
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l2,plain,
aElement0(sK52),
inference(instantiation,[status(thm)],[168]) ).
cnf(171,plain,
aElement0(sK53),
inference(cnf,[status(esa)],[m__2456]) ).
cnf(l1,plain,
aElement0(sK53),
inference(instantiation,[status(thm)],[171]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l36,l32,l59,l2,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG116+4 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n028.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 18:05:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 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: 1
% 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
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.40 % launching worker at depth: 11
% 8.13/1.35 % SZS status Theorem for theBenchmark
% 8.13/1.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------