%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN039-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 09:26:39 PM UTC 2025
% Result : Unsatisfiable 4.78s 0.99s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_5)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
( q(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1))
| s(f1(X0,X1),X3) ),
inference(cnf,[status(esa)],[c_5]) ).
cnf(l0,plain,
( q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(16,plain,
( ~ q(X0,X0)
| ~ p(X1,X1)
| q(f1(X1,X2),X0) ),
inference(cnf,[status(esa)],[c_17]) ).
cnf(l2,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ p(f1(X2_86,X1_86),f1(X2_86,X1_86))
| q(f1(f1(X2_86,X1_86),X2_2),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(1,plain,
( ~ s(X0,f1(X0,X1))
| q(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) ),
inference(cnf,[status(esa)],[c_2]) ).
cnf(l78,plain,
( ~ s(X2_86,f1(X2_86,X1_86))
| q(f1(X2_86,X1_86),f1(X1_86,f1(X2_86,X1_86)))
| p(f1(X2_86,X1_86),f1(X2_86,X1_86)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(24,plain,
( ~ q(X0,X0)
| ~ q(X1,f1(X2,X1))
| s(X3,X2) ),
inference(cnf,[status(esa)],[c_25]) ).
cnf(l8,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ q(f1(f1(X2_86,X1_86),X2_2),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(f1(X2_86,X1_86),f1(X2_86,X1_86)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(10,plain,
( ~ p(X0,X0)
| ~ s(X0,f1(X0,X1))
| q(f1(X0,X1),X2) ),
inference(cnf,[status(esa)],[c_11]) ).
cnf(l1,plain,
( ~ p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)))
| q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(20,plain,
( ~ s(X0,f1(X0,X1))
| ~ s(X1,X1)
| s(X2,X0) ),
inference(cnf,[status(esa)],[c_21]) ).
cnf(l5,plain,
( ~ s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)))
| ~ s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43))
| s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4))) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l40,plain,
( ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)))
| ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4))))
| s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l26,plain,
( ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43))
| ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)))
| s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(13,plain,
( ~ p(X0,X0)
| q(f1(X0,X1),X2)
| s(f1(X0,X1),X3) ),
inference(cnf,[status(esa)],[c_14]) ).
cnf(l44,plain,
( ~ p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)))
| s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(2,plain,
( ~ s(X0,f1(X0,X1))
| ~ s(X1,X1)
| p(f1(X0,X1),f1(X0,X1)) ),
inference(cnf,[status(esa)],[c_3]) ).
cnf(l71,plain,
( ~ s(X2_72,f1(X2_72,f1(X2_86,X1_86)))
| ~ s(f1(X2_86,X1_86),f1(X2_86,X1_86))
| p(f1(X2_72,f1(X2_86,X1_86)),f1(X2_72,f1(X2_86,X1_86))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l4,plain,
( ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)))
| ~ p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(25,plain,
( ~ q(X0,X0)
| q(f1(X1,X2),X0)
| s(X3,X1) ),
inference(cnf,[status(esa)],[c_26]) ).
cnf(l80,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| q(f1(f1(X2_86,X1_86),X2_2),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(X2_86,f1(X2_86,X1_86)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(17,plain,
( ~ q(X0,X0)
| ~ p(X1,X1)
| ~ s(X2,X2) ),
inference(cnf,[status(esa)],[c_18]) ).
cnf(l74,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ p(f1(X2_72,f1(X2_86,X1_86)),f1(X2_72,f1(X2_86,X1_86)))
| ~ s(f1(X2_86,X1_86),f1(X2_86,X1_86)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l59,plain,
( ~ p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4))))
| s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l85,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ q(f1(f1(X2_86,X1_86),X2_2),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(X2_86,f1(X2_86,X1_86)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l79,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ q(f1(X2_86,X1_86),f1(X1_86,f1(X2_86,X1_86)))
| s(X1_86,X1_86) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(26,plain,
( ~ q(X0,X0)
| ~ s(X1,X1)
| s(X2,X3) ),
inference(cnf,[status(esa)],[c_27]) ).
cnf(l72,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ s(f1(X2_86,X1_86),f1(X2_86,X1_86))
| s(X2_72,f1(X2_72,f1(X2_86,X1_86))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l42,plain,
( ~ p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)))
| s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l3,plain,
( ~ s(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(8,plain,
( ~ q(X0,X0)
| ~ s(X1,X1)
| p(f1(X2,X1),f1(X2,X1)) ),
inference(cnf,[status(esa)],[c_9]) ).
cnf(l86,plain,
( ~ q(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ s(X1_86,X1_86)
| p(f1(X2_86,X1_86),f1(X2_86,X1_86)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
( ~ s(X0,X0)
| p(f1(X1,X0),f1(X1,X0))
| s(f1(X1,X0),X2) ),
inference(cnf,[status(esa)],[c_6]) ).
cnf(l7,plain,
( ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| p(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| s(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l64,plain,
( ~ p(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| q(f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| s(f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l66,plain,
( ~ s(f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l43,plain,
( ~ p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43))
| s(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X1_43)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l6,plain,
( ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)))
| ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)))
| s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l83,plain,
( ~ q(f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),X2_4)))
| ~ p(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l68,plain,
( ~ q(f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l12,plain,
( ~ p(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| q(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l17,plain,
( ~ s(X2_30,f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| p(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l30,plain,
( ~ s(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| s(X2_30,f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l16,plain,
( ~ q(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ p(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l35,plain,
( ~ s(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))))
| ~ s(f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))
| p(f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_30,f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2))),f1(f1(X2_86,X1_86),f1(f1(X2_86,X1_86),X2_2)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l78,l8,l1,l5,l40,l26,l44,l71,l4,l80,l74,l59,l85,l79,l72,l42,l3,l86,l7,l64,l66,l43,l6,l83,l68,l12,l17,l30,l16,l35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN039-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:27:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.19/0.49 % launching worker at depth: 11
% 4.78/0.99 % SZS status Theorem for theBenchmark
% 4.78/0.99 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------