%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:10:46 AM UTC 2026
% Result : Unsatisfiable 0.03s 0.32s
% Output : Proof 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 20 unt; 0 nHn; 26 RR)
% Number of literals : 43 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_4,negated_conjecture,
p4(X36,X36),
file('theBenchmark.p',p4_4) ).
cnf(p4_12,negated_conjecture,
( ~ p4(X39,X40)
| p4(f16(X39),f16(X40)) ),
file('theBenchmark.p',p4_12) ).
cnf(p22_28,negated_conjecture,
( ~ p22(X22,X23)
| ~ p4(X23,X21)
| ~ p4(X22,X20)
| p22(X20,X21) ),
file('theBenchmark.p',p22_28) ).
cnf(p4_32,negated_conjecture,
( ~ p4(X42,X44)
| ~ p4(X41,X43)
| p4(f17(X41,X42),f17(X43,X44)) ),
file('theBenchmark.p',p4_32) ).
cnf(p4_39,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)),
file('theBenchmark.p',p4_39) ).
cnf(p22_40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('theBenchmark.p',p22_40) ).
cnf(not_p22_41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('theBenchmark.p',not_p22_41) ).
cnf(t1,plain,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(start,[status(thm),parent(0:0)],[not_p22_41]) ).
cnf(t2,plain,
( ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))))
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),f16(f17(c27,f5(c25,c26,c27))))
| ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27))))
| p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))) ),
inference(extension,[status(thm),parent(t1:1)],[p22_28]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
inference(extension,[status(thm),parent(t2:2)],[p22_40]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p4(f17(c27,f5(c25,c26,c27)),f17(c27,f5(c25,c26,c27)))
| p4(f16(f17(c27,f5(c25,c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ),
inference(extension,[status(thm),parent(t2:3)],[p4_12]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ p4(c27,c27)
| ~ p4(f5(c25,c26,c27),f5(c25,c26,c27))
| p4(f17(c27,f5(c25,c26,c27)),f17(c27,f5(c25,c26,c27))) ),
inference(extension,[status(thm),parent(t6:2)],[p4_32]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p4(f5(c25,c26,c27),f5(c25,c26,c27)),
inference(extension,[status(thm),parent(t8:2)],[p4_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p4(c27,c27),
inference(extension,[status(thm),parent(t8:3)],[p4_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))
| p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))) ),
inference(extension,[status(thm),parent(t2:4)],[p4_12]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:4]) ).
cnf(t16,plain,
( ~ p4(c27,c27)
| ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27),f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))
| p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))) ),
inference(extension,[status(thm),parent(t14:2)],[p4_32]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27),f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)),
inference(extension,[status(thm),parent(t16:2)],[p4_39]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p4(c27,c27),
inference(extension,[status(thm),parent(t16:3)],[p4_4]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.01 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 20 07:06:07 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.03/0.32 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------