%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN646-1 : 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 : n010.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 09:10:47 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of clauses : 55 ( 43 unt; 0 nHn; 53 RR)
% Number of literals : 84 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 24 ( 6 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_3,negated_conjecture,
p4(X48,X48),
file('theBenchmark.p',p4_3) ).
cnf(p2_5,negated_conjecture,
p2(X16,X16),
file('theBenchmark.p',p2_5) ).
cnf(not_p21_7,negated_conjecture,
~ p21(f17(c25),f17(c22)),
file('theBenchmark.p',not_p21_7) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('theBenchmark.p',p2_9) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('theBenchmark.p',p2_10) ).
cnf(p20_12,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
file('theBenchmark.p',p20_12) ).
cnf(p2_14,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
file('theBenchmark.p',p2_14) ).
cnf(p2_21,negated_conjecture,
( ~ p4(X23,X24)
| p2(f14(X23),f14(X24)) ),
file('theBenchmark.p',p2_21) ).
cnf(p2_28,negated_conjecture,
( ~ p2(X16,X18)
| ~ p2(X16,X17)
| p2(X17,X18) ),
file('theBenchmark.p',p2_28) ).
cnf(p20_32,negated_conjecture,
( ~ p2(X33,X31)
| ~ p20(X33,X34)
| ~ p2(X34,X32)
| p20(X31,X32) ),
file('theBenchmark.p',p20_32) ).
cnf(p2_35,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('theBenchmark.p',p2_35) ).
cnf(p2_36,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('theBenchmark.p',p2_36) ).
cnf(p2_39,negated_conjecture,
p2(f14(f11(c25)),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))),
file('theBenchmark.p',p2_39) ).
cnf(p21_40,negated_conjecture,
( ~ p20(f14(f11(X39)),f14(f11(X40)))
| ~ p2(f13(f11(X39)),f13(f11(X40)))
| ~ p2(f12(f11(X40)),f7(c24))
| ~ p2(f12(f11(X39)),f7(c24))
| p21(f17(X39),f17(X40)) ),
file('theBenchmark.p',p21_40) ).
cnf(t1,plain,
~ p21(f17(c25),f17(c22)),
inference(start,[status(thm),parent(0:0)],[not_p21_7]) ).
cnf(t2,plain,
( ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p20(f14(f11(c25)),f14(f11(c22)))
| p21(f17(c25),f17(c22)) ),
inference(extension,[status(thm),parent(t1:1)],[p21_40]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f14(f11(c22)),f14(f11(c22)))
| ~ p20(f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))),f14(f11(c22)))
| ~ p2(f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))),f14(f11(c25)))
| p20(f14(f11(c25)),f14(f11(c22))) ),
inference(extension,[status(thm),parent(t2:2)],[p20_32]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(f14(f11(c25)),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))
| ~ p2(f14(f11(c25)),f14(f11(c25)))
| p2(f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))),f14(f11(c25))) ),
inference(extension,[status(thm),parent(t4:2)],[p2_28]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p2(f14(f11(c25)),f14(f11(c25))),
inference(extension,[status(thm),parent(t6:2)],[p2_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p2(f14(f11(c25)),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))),
inference(extension,[status(thm),parent(t6:3)],[p2_39]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( ~ p2(f14(f11(c22)),f14(f11(c22)))
| ~ p20(f14(f11(c25)),f14(f11(c22)))
| ~ p2(f14(f11(c25)),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))
| p20(f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))),f14(f11(c22))) ),
inference(extension,[status(thm),parent(t4:3)],[p20_32]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).
cnf(t14,plain,
p2(f14(f11(c25)),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))),
inference(extension,[status(thm),parent(t12:2)],[p2_39]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p20(f14(f11(c25)),f14(f11(c22))),
inference(extension,[status(thm),parent(t12:3)],[p20_12]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
p2(f14(f11(c22)),f14(f11(c22))),
inference(extension,[status(thm),parent(t12:4)],[p2_5]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t12:4]) ).
cnf(t20,plain,
( ~ p4(f11(c22),f11(c22))
| p2(f14(f11(c22)),f14(f11(c22))) ),
inference(extension,[status(thm),parent(t4:4)],[p2_21]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t4:4]) ).
cnf(t22,plain,
p4(f11(c22),f11(c22)),
inference(extension,[status(thm),parent(t20:2)],[p4_3]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22)))
| p2(f13(f11(c25)),f13(f11(c22))) ),
inference(extension,[status(thm),parent(t2:3)],[p2_28]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:3]) ).
cnf(t26,plain,
( ~ p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))
| ~ p2(f13(f11(c23)),f13(f11(c22)))
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))) ),
inference(extension,[status(thm),parent(t24:2)],[p2_28]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p2(f13(f11(c23)),f13(f11(c22))),
inference(extension,[status(thm),parent(t26:2)],[p2_14]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(extension,[status(thm),parent(t26:3)],[p2_35]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( ~ p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))
| ~ p2(f13(f11(c25)),f13(f11(c25)))
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))) ),
inference(extension,[status(thm),parent(t24:3)],[p2_28]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t24:3]) ).
cnf(t34,plain,
p2(f13(f11(c25)),f13(f11(c25))),
inference(extension,[status(thm),parent(t32:2)],[p2_5]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(extension,[status(thm),parent(t32:3)],[p2_36]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
p2(f12(f11(c22)),f7(c24)),
inference(extension,[status(thm),parent(t2:4)],[p2_9]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:4]) ).
cnf(t40,plain,
p2(f12(f11(c25)),f7(c24)),
inference(extension,[status(thm),parent(t2:5)],[p2_10]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 07:06:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------