%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS002-1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 : Thu Jul 24 08:46:30 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_1)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
e(exist),
inference(cnf,[status(esa)],[clause_1]) ).
cnf(l0,plain,
e(exist),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
( ~ e(X0)
| ~ r(X0,X1)
| d(X1) ),
inference(cnf,[status(esa)],[clause_15]) ).
cnf(l1,plain,
( ~ e(exist)
| ~ r(exist,u4r2(exist))
| d(u4r2(exist)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
( ~ e(X0)
| r(X0,u4r2(X0)) ),
inference(cnf,[status(esa)],[clause_14]) ).
cnf(l2,plain,
( ~ e(exist)
| r(exist,u4r2(exist)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(7,plain,
( ~ d(X0)
| s1most(X0) ),
inference(cnf,[status(esa)],[clause_8]) ).
cnf(l3,plain,
( ~ d(u4r2(exist))
| s1most(u4r2(exist)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( ~ s(X0,X1)
| ~ s(X0,X2)
| ~ s1most(X0)
| equalish(X1,X2) ),
inference(cnf,[status(esa)],[clause_10]) ).
cnf(l4,plain,
( ~ s(u4r2(exist),u1r2(u4r2(exist)))
| ~ s(u4r2(exist),u1r1(u4r2(exist)))
| ~ s1most(u4r2(exist))
| equalish(u1r2(u4r2(exist)),u1r1(u4r2(exist))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(4,plain,
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
inference(cnf,[status(esa)],[clause_5]) ).
cnf(l5,plain,
( ~ s2least(u4r2(exist))
| s(u4r2(exist),u1r1(u4r2(exist))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
inference(cnf,[status(esa)],[clause_6]) ).
cnf(l8,plain,
( ~ s2least(u4r2(exist))
| s(u4r2(exist),u1r2(u4r2(exist))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( ~ c(X0)
| s2least(X0) ),
inference(cnf,[status(esa)],[clause_2]) ).
cnf(l12,plain,
( ~ c(u4r2(exist))
| s2least(u4r2(exist)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(15,plain,
( ~ e(X0)
| ~ r(X0,X1)
| c(X1) ),
inference(cnf,[status(esa)],[clause_16]) ).
cnf(l13,plain,
( ~ e(exist)
| ~ r(exist,u4r2(exist))
| c(u4r2(exist)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l6,plain,
( ~ c(u4r2(exist))
| s2least(u4r2(exist)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
( ~ e(exist)
| ~ r(exist,u4r2(exist))
| c(u4r2(exist)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(3,plain,
( ~ s2least(X0)
| ~ equalish(u1r2(X0),u1r1(X0)) ),
inference(cnf,[status(esa)],[clause_4]) ).
cnf(l7,plain,
( ~ s2least(u4r2(exist))
| ~ equalish(u1r2(u4r2(exist)),u1r1(u4r2(exist))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l15,plain,
( ~ e(exist)
| r(exist,u4r2(exist)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l16,plain,
( ~ e(exist)
| r(exist,u4r2(exist)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l11,plain,
( ~ c(u4r2(exist))
| s2least(u4r2(exist)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l18,plain,
( ~ e(exist)
| ~ r(exist,u4r2(exist))
| c(u4r2(exist)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l19,plain,
( ~ e(exist)
| r(exist,u4r2(exist)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l8,l12,l13,l6,l9,l7,l15,l16,l11,l18,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS002-1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Jul 20 21:59:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------