%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN615-1 : 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 : n006.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 09:10:43 AM UTC 2026
% Result : Unsatisfiable 0.30s 0.57s
% Output : Proof 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of clauses : 251 ( 180 unt; 0 nHn; 247 RR)
% Number of literals : 393 ( 0 equ; 144 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p13_1,negated_conjecture,
p13(X0,X0),
file('theBenchmark.p',p13_1) ).
cnf(p7_2,negated_conjecture,
p7(X43,X43),
file('theBenchmark.p',p7_2) ).
cnf(p2_3,negated_conjecture,
p2(X18,X18),
file('theBenchmark.p',p2_3) ).
cnf(p15_4,negated_conjecture,
p15(X7,X7),
file('theBenchmark.p',p15_4) ).
cnf(p2_5,negated_conjecture,
p2(c26,f3(c22)),
file('theBenchmark.p',p2_5) ).
cnf(p19_7,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('theBenchmark.p',p19_7) ).
cnf(p20_8,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('theBenchmark.p',p20_8) ).
cnf(p2_10,negated_conjecture,
( ~ p2(X29,X30)
| p2(f3(X29),f3(X30)) ),
file('theBenchmark.p',p2_10) ).
cnf(p2_11,negated_conjecture,
( ~ p2(X31,X32)
| p2(f4(X31),f4(X32)) ),
file('theBenchmark.p',p2_11) ).
cnf(p2_12,negated_conjecture,
( ~ p2(X33,X34)
| p2(f5(X33),f5(X34)) ),
file('theBenchmark.p',p2_12) ).
cnf(p2_14,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('theBenchmark.p',p2_14) ).
cnf(p7_16,negated_conjecture,
( ~ p7(X43,X45)
| ~ p7(X43,X44)
| p7(X44,X45) ),
file('theBenchmark.p',p7_16) ).
cnf(p2_17,negated_conjecture,
( ~ p2(X18,X20)
| ~ p2(X18,X19)
| p2(X19,X20) ),
file('theBenchmark.p',p2_17) ).
cnf(p20_19,negated_conjecture,
( ~ p2(X41,X39)
| ~ p20(X41,X42)
| ~ p2(X42,X40)
| p20(X39,X40) ),
file('theBenchmark.p',p20_19) ).
cnf(p19_20,negated_conjecture,
( ~ p19(X16,X17)
| ~ p2(X17,X15)
| ~ p2(X16,X14)
| p19(X14,X15) ),
file('theBenchmark.p',p19_20) ).
cnf(p13_21,negated_conjecture,
( ~ p2(X3,X5)
| ~ p15(X4,X6)
| p13(f16(X3,X4),f16(X5,X6)) ),
file('theBenchmark.p',p13_21) ).
cnf(p7_22,negated_conjecture,
( ~ p7(X59,X61)
| ~ p7(X58,X60)
| p7(f9(X58,X59),f9(X60,X61)) ),
file('theBenchmark.p',p7_22) ).
cnf(p7_23,negated_conjecture,
( ~ p7(X55,X57)
| ~ p7(X54,X56)
| p7(f8(X54,X55),f8(X56,X57)) ),
file('theBenchmark.p',p7_23) ).
cnf(p7_24,negated_conjecture,
( ~ p7(X46,X48)
| ~ p2(X47,X49)
| p7(f10(X46,X47),f10(X48,X49)) ),
file('theBenchmark.p',p7_24) ).
cnf(p2_25,negated_conjecture,
( ~ p2(X36,X38)
| ~ p2(X35,X37)
| p2(f6(X35,X36),f6(X37,X38)) ),
file('theBenchmark.p',p2_25) ).
cnf(p2_27,negated_conjecture,
( ~ p7(X22,X24)
| ~ p13(X21,X23)
| p2(f14(X21,X22),f14(X23,X24)) ),
file('theBenchmark.p',p2_27) ).
cnf(p15_28,negated_conjecture,
( ~ p2(X11,X13)
| ~ p2(X10,X12)
| p15(f17(X10,X11),f17(X12,X13)) ),
file('theBenchmark.p',p15_28) ).
cnf(p7_29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('theBenchmark.p',p7_29) ).
cnf(not_p19_30,negated_conjecture,
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p20(X63,f6(f3(f4(f5(c22))),c21))
| ~ p19(X62,f3(f4(f5(c22)))) ),
file('theBenchmark.p',not_p19_30) ).
cnf(t1,plain,
( ~ p20(c24,f6(f3(f4(f5(c22))),c21))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p19(c23,f3(f4(f5(c22)))) ),
inference(start,[status(thm),parent(0:0)],[not_p19_30]) ).
cnf(t2,plain,
( ~ p2(c23,c23)
| ~ p2(f3(f4(f5(c22))),f3(f4(f5(c22))))
| ~ p19(c23,f3(f4(f5(c22))))
| p19(c23,f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t1:1)],[p19_20]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(c23,c23)
| ~ p2(f3(f4(f5(c22))),f3(f4(f5(c22))))
| ~ p19(c23,f3(f4(f5(c22))))
| p19(c23,f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t2:2)],[p19_20]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(c23,c23)
| ~ p2(f3(f4(f5(c22))),f3(f4(f5(c22))))
| ~ p19(c23,f3(f4(f5(c22))))
| p19(c23,f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t4:2)],[p19_20]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p2(c23,c23)
| ~ p2(f3(f4(f5(c22))),f3(f4(f5(c22))))
| ~ p19(c23,f3(f4(f5(c22))))
| p19(c23,f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t6:2)],[p19_20]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p19(c23,f3(f4(f5(c22)))),
inference(extension,[status(thm),parent(t8:2)],[p19_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p2(f3(f4(f5(c22))),f3(f4(f5(c22)))),
inference(extension,[status(thm),parent(t8:3)],[p2_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t8:4)],[p2_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).
cnf(t16,plain,
( ~ p2(f4(f5(c22)),f4(f5(c22)))
| p2(f3(f4(f5(c22))),f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t6:3)],[p2_10]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:3]) ).
cnf(t18,plain,
p2(f4(f5(c22)),f4(f5(c22))),
inference(extension,[status(thm),parent(t16:2)],[p2_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t6:4)],[p2_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:4]) ).
cnf(t22,plain,
( ~ p2(f4(f5(c22)),f4(f5(c22)))
| p2(f3(f4(f5(c22))),f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t4:3)],[p2_10]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t4:3]) ).
cnf(t24,plain,
( ~ p2(f5(c22),f5(c22))
| p2(f4(f5(c22)),f4(f5(c22))) ),
inference(extension,[status(thm),parent(t22:2)],[p2_11]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p2(f5(c22),f5(c22)),
inference(extension,[status(thm),parent(t24:2)],[p2_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t4:4)],[p2_3]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t4:4]) ).
cnf(t30,plain,
( ~ p2(f4(f5(c22)),f4(f5(c22)))
| p2(f3(f4(f5(c22))),f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t2:3)],[p2_10]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t2:3]) ).
cnf(t32,plain,
( ~ p2(f5(c22),f5(c22))
| p2(f4(f5(c22)),f4(f5(c22))) ),
inference(extension,[status(thm),parent(t30:2)],[p2_11]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ p2(c22,c22)
| p2(f5(c22),f5(c22)) ),
inference(extension,[status(thm),parent(t32:2)],[p2_12]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p2(c22,c22),
inference(extension,[status(thm),parent(t34:2)],[p2_3]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t2:4)],[p2_3]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:4]) ).
cnf(t40,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(extension,[status(thm),parent(t1:2)],[p7_16]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t1:2]) ).
cnf(t42,plain,
( ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(extension,[status(thm),parent(t40:2)],[p7_23]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
( ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))
| p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))) ),
inference(extension,[status(thm),parent(t42:2)],[p7_23]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ p7(f11(c24),f11(c24))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c27),f10(f11(f3(f4(f5(c22)))),c27))
| p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))) ),
inference(extension,[status(thm),parent(t44:2)],[p7_22]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
p7(f10(f11(f3(f4(f5(c22)))),c27),f10(f11(f3(f4(f5(c22)))),c27)),
inference(extension,[status(thm),parent(t46:2)],[p7_2]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
p7(f11(c24),f11(c24)),
inference(extension,[status(thm),parent(t46:3)],[p7_2]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t46:3]) ).
cnf(t52,plain,
( ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25))
| ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
| p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))) ),
inference(extension,[status(thm),parent(t44:3)],[p7_24]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t44:3]) ).
cnf(t54,plain,
p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))),
inference(extension,[status(thm),parent(t52:2)],[p7_2]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
inference(extension,[status(thm),parent(t52:3)],[p2_14]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
( ~ p2(c23,c23)
| ~ p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22)))))
| p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)) ),
inference(extension,[status(thm),parent(t42:3)],[p7_24]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t42:3]) ).
cnf(t60,plain,
( ~ p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22)))))
| ~ p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22)))))
| p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22))))) ),
inference(extension,[status(thm),parent(t58:2)],[p7_16]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22))))),
inference(extension,[status(thm),parent(t60:2)],[p7_2]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22))))),
inference(extension,[status(thm),parent(t60:3)],[p7_2]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
( ~ p2(c23,c23)
| ~ p2(c23,c23)
| p2(c23,c23) ),
inference(extension,[status(thm),parent(t58:3)],[p2_17]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t58:3]) ).
cnf(t68,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t66:2)],[p2_3]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t66:3)],[p2_3]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t66:3]) ).
cnf(t72,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25) ),
inference(extension,[status(thm),parent(t40:3)],[p7_16]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t40:3]) ).
cnf(t74,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25) ),
inference(extension,[status(thm),parent(t72:2)],[p7_16]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(c25,c25)
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25) ),
inference(extension,[status(thm),parent(t74:2)],[p7_16]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
p7(c25,c25),
inference(extension,[status(thm),parent(t76:2)],[p7_2]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(extension,[status(thm),parent(t76:3)],[p7_29]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t76:3]) ).
cnf(t82,plain,
( ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(extension,[status(thm),parent(t74:3)],[p7_23]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t74:3]) ).
cnf(t84,plain,
p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),
inference(extension,[status(thm),parent(t82:2)],[p7_2]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)),
inference(extension,[status(thm),parent(t82:3)],[p7_2]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t82:3]) ).
cnf(t88,plain,
( ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(extension,[status(thm),parent(t72:3)],[p7_23]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t72:3]) ).
cnf(t90,plain,
( ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),c26))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))
| p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))) ),
inference(extension,[status(thm),parent(t88:2)],[p7_23]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),
inference(extension,[status(thm),parent(t90:2)],[p7_2]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),c26)),
inference(extension,[status(thm),parent(t90:3)],[p7_2]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t90:3]) ).
cnf(t96,plain,
( ~ p2(c23,c23)
| ~ p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22)))))
| p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)) ),
inference(extension,[status(thm),parent(t88:3)],[p7_24]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t88:3]) ).
cnf(t98,plain,
p7(f12(f11(f3(f5(c22)))),f12(f11(f3(f5(c22))))),
inference(extension,[status(thm),parent(t96:2)],[p7_2]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t96:3)],[p2_3]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t96:3]) ).
cnf(t102,plain,
( ~ p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f14(f16(c28,f17(c21,c27)),c25))
| ~ p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f3(c22))
| p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22)) ),
inference(extension,[status(thm),parent(t1:3)],[p2_17]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t1:3]) ).
cnf(t104,plain,
( ~ p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))))
| ~ p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f3(c22))
| p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f3(c22)) ),
inference(extension,[status(thm),parent(t102:2)],[p2_17]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t102:2]) ).
cnf(t106,plain,
( ~ p2(f14(f16(c28,f17(c21,c27)),c25),f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f3(c22)) ),
inference(extension,[status(thm),parent(t104:2)],[p2_17]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t104:2]) ).
cnf(t108,plain,
( ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25))
| ~ p2(c26,f3(c22))
| p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22)) ),
inference(extension,[status(thm),parent(t106:2)],[p2_17]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t106:2]) ).
cnf(t110,plain,
p2(c26,f3(c22)),
inference(extension,[status(thm),parent(t108:2)],[p2_5]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t108:2]) ).
cnf(t112,plain,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
inference(extension,[status(thm),parent(t108:3)],[p2_14]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t108:3]) ).
cnf(t114,plain,
( ~ p13(f16(c28,f17(c21,c27)),f16(c28,f17(c21,c27)))
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| p2(f14(f16(c28,f17(c21,c27)),c25),f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))) ),
inference(extension,[status(thm),parent(t106:3)],[p2_27]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t106:3]) ).
cnf(t116,plain,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(extension,[status(thm),parent(t114:2)],[p7_29]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t114:2]) ).
cnf(t118,plain,
p13(f16(c28,f17(c21,c27)),f16(c28,f17(c21,c27))),
inference(extension,[status(thm),parent(t114:3)],[p13_1]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t114:3]) ).
cnf(t120,plain,
( ~ p13(f16(c28,f17(c21,c27)),f16(c28,f17(c21,c27)))
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))) ),
inference(extension,[status(thm),parent(t104:3)],[p2_27]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t104:3]) ).
cnf(t122,plain,
( ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(extension,[status(thm),parent(t120:2)],[p7_23]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t120:2]) ).
cnf(t124,plain,
p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),
inference(extension,[status(thm),parent(t122:2)],[p7_2]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t122:2]) ).
cnf(t126,plain,
p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)),
inference(extension,[status(thm),parent(t122:3)],[p7_2]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t122:3]) ).
cnf(t128,plain,
( ~ p15(f17(c21,c27),f17(c21,c27))
| ~ p2(c28,c28)
| p13(f16(c28,f17(c21,c27)),f16(c28,f17(c21,c27))) ),
inference(extension,[status(thm),parent(t120:3)],[p13_21]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t120:3]) ).
cnf(t130,plain,
p2(c28,c28),
inference(extension,[status(thm),parent(t128:2)],[p2_3]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t128:2]) ).
cnf(t132,plain,
p15(f17(c21,c27),f17(c21,c27)),
inference(extension,[status(thm),parent(t128:3)],[p15_4]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t128:3]) ).
cnf(t134,plain,
( ~ p13(f16(c28,f17(c21,c27)),f16(c28,f17(c21,c27)))
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
| p2(f14(f16(c28,f17(c21,c27)),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),f14(f16(c28,f17(c21,c27)),c25)) ),
inference(extension,[status(thm),parent(t102:3)],[p2_27]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t102:3]) ).
cnf(t136,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25) ),
inference(extension,[status(thm),parent(t134:2)],[p7_16]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t134:2]) ).
cnf(t138,plain,
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(c25,c25)
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25) ),
inference(extension,[status(thm),parent(t136:2)],[p7_16]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t136:2]) ).
cnf(t140,plain,
p7(c25,c25),
inference(extension,[status(thm),parent(t138:2)],[p7_2]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t138:2]) ).
cnf(t142,plain,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(extension,[status(thm),parent(t138:3)],[p7_29]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t138:3]) ).
cnf(t144,plain,
( ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(extension,[status(thm),parent(t136:3)],[p7_23]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t136:3]) ).
cnf(t146,plain,
p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),
inference(extension,[status(thm),parent(t144:2)],[p7_2]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t144:2]) ).
cnf(t148,plain,
p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)),
inference(extension,[status(thm),parent(t144:3)],[p7_2]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t144:3]) ).
cnf(t150,plain,
( ~ p15(f17(c21,c27),f17(c21,c27))
| ~ p2(c28,c28)
| p13(f16(c28,f17(c21,c27)),f16(c28,f17(c21,c27))) ),
inference(extension,[status(thm),parent(t134:3)],[p13_21]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t134:3]) ).
cnf(t152,plain,
p2(c28,c28),
inference(extension,[status(thm),parent(t150:2)],[p2_3]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t150:2]) ).
cnf(t154,plain,
( ~ p2(c21,c21)
| ~ p2(c27,c27)
| p15(f17(c21,c27),f17(c21,c27)) ),
inference(extension,[status(thm),parent(t150:3)],[p15_28]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t150:3]) ).
cnf(t156,plain,
p2(c27,c27),
inference(extension,[status(thm),parent(t154:2)],[p2_3]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t154:2]) ).
cnf(t158,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t154:3)],[p2_3]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t154:3]) ).
cnf(t160,plain,
( ~ p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21))
| ~ p20(c24,f6(f3(f4(f5(c22))),c21))
| ~ p2(c24,c24)
| p20(c24,f6(f3(f4(f5(c22))),c21)) ),
inference(extension,[status(thm),parent(t1:4)],[p20_19]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t1:4]) ).
cnf(t162,plain,
( ~ p2(c24,c24)
| ~ p2(c24,c24)
| p2(c24,c24) ),
inference(extension,[status(thm),parent(t160:2)],[p2_17]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t160:2]) ).
cnf(t164,plain,
( ~ p2(c24,c24)
| ~ p2(c24,c24)
| p2(c24,c24) ),
inference(extension,[status(thm),parent(t162:2)],[p2_17]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t162:2]) ).
cnf(t166,plain,
( ~ p2(c24,c24)
| ~ p2(c24,c24)
| p2(c24,c24) ),
inference(extension,[status(thm),parent(t164:2)],[p2_17]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t164:2]) ).
cnf(t168,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t166:2)],[p2_3]) ).
cnf(t169,plain,
$false,
inference(connection,[status(thm),parent(t168:1)],[t168:1,t166:2]) ).
cnf(t170,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t166:3)],[p2_3]) ).
cnf(t171,plain,
$false,
inference(connection,[status(thm),parent(t170:1)],[t170:1,t166:3]) ).
cnf(t172,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t164:3)],[p2_3]) ).
cnf(t173,plain,
$false,
inference(connection,[status(thm),parent(t172:1)],[t172:1,t164:3]) ).
cnf(t174,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t162:3)],[p2_3]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t162:3]) ).
cnf(t176,plain,
( ~ p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21))
| ~ p20(c24,f6(f3(f4(f5(c22))),c21))
| ~ p2(c24,c24)
| p20(c24,f6(f3(f4(f5(c22))),c21)) ),
inference(extension,[status(thm),parent(t160:3)],[p20_19]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t160:3]) ).
cnf(t178,plain,
( ~ p2(c24,c24)
| ~ p2(c24,c24)
| p2(c24,c24) ),
inference(extension,[status(thm),parent(t176:2)],[p2_17]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t176:2]) ).
cnf(t180,plain,
( ~ p2(c24,c24)
| ~ p2(c24,c24)
| p2(c24,c24) ),
inference(extension,[status(thm),parent(t178:2)],[p2_17]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t178:2]) ).
cnf(t182,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t180:2)],[p2_3]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t180:2]) ).
cnf(t184,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t180:3)],[p2_3]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t180:3]) ).
cnf(t186,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t178:3)],[p2_3]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t178:3]) ).
cnf(t188,plain,
( ~ p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21))
| ~ p20(c24,f6(f3(f4(f5(c22))),c21))
| ~ p2(c24,c24)
| p20(c24,f6(f3(f4(f5(c22))),c21)) ),
inference(extension,[status(thm),parent(t176:3)],[p20_19]) ).
cnf(t189,plain,
$false,
inference(connection,[status(thm),parent(t188:1)],[t188:1,t176:3]) ).
cnf(t190,plain,
( ~ p2(c24,c24)
| ~ p2(c24,c24)
| p2(c24,c24) ),
inference(extension,[status(thm),parent(t188:2)],[p2_17]) ).
cnf(t191,plain,
$false,
inference(connection,[status(thm),parent(t190:1)],[t190:1,t188:2]) ).
cnf(t192,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t190:2)],[p2_3]) ).
cnf(t193,plain,
$false,
inference(connection,[status(thm),parent(t192:1)],[t192:1,t190:2]) ).
cnf(t194,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t190:3)],[p2_3]) ).
cnf(t195,plain,
$false,
inference(connection,[status(thm),parent(t194:1)],[t194:1,t190:3]) ).
cnf(t196,plain,
( ~ p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21))
| ~ p20(c24,f6(f3(f4(f5(c22))),c21))
| ~ p2(c24,c24)
| p20(c24,f6(f3(f4(f5(c22))),c21)) ),
inference(extension,[status(thm),parent(t188:3)],[p20_19]) ).
cnf(t197,plain,
$false,
inference(connection,[status(thm),parent(t196:1)],[t196:1,t188:3]) ).
cnf(t198,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t196:2)],[p2_3]) ).
cnf(t199,plain,
$false,
inference(connection,[status(thm),parent(t198:1)],[t198:1,t196:2]) ).
cnf(t200,plain,
p20(c24,f6(f3(f4(f5(c22))),c21)),
inference(extension,[status(thm),parent(t196:3)],[p20_8]) ).
cnf(t201,plain,
$false,
inference(connection,[status(thm),parent(t200:1)],[t200:1,t196:3]) ).
cnf(t202,plain,
p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21)),
inference(extension,[status(thm),parent(t196:4)],[p2_3]) ).
cnf(t203,plain,
$false,
inference(connection,[status(thm),parent(t202:1)],[t202:1,t196:4]) ).
cnf(t204,plain,
( ~ p2(f3(f4(f5(c22))),f3(f4(f5(c22))))
| ~ p2(c21,c21)
| p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21)) ),
inference(extension,[status(thm),parent(t188:4)],[p2_25]) ).
cnf(t205,plain,
$false,
inference(connection,[status(thm),parent(t204:1)],[t204:1,t188:4]) ).
cnf(t206,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t204:2)],[p2_3]) ).
cnf(t207,plain,
$false,
inference(connection,[status(thm),parent(t206:1)],[t206:1,t204:2]) ).
cnf(t208,plain,
p2(f3(f4(f5(c22))),f3(f4(f5(c22)))),
inference(extension,[status(thm),parent(t204:3)],[p2_3]) ).
cnf(t209,plain,
$false,
inference(connection,[status(thm),parent(t208:1)],[t208:1,t204:3]) ).
cnf(t210,plain,
( ~ p2(f3(f4(f5(c22))),f3(f4(f5(c22))))
| ~ p2(c21,c21)
| p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21)) ),
inference(extension,[status(thm),parent(t176:4)],[p2_25]) ).
cnf(t211,plain,
$false,
inference(connection,[status(thm),parent(t210:1)],[t210:1,t176:4]) ).
cnf(t212,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t210:2)],[p2_3]) ).
cnf(t213,plain,
$false,
inference(connection,[status(thm),parent(t212:1)],[t212:1,t210:2]) ).
cnf(t214,plain,
( ~ p2(f4(f5(c22)),f4(f5(c22)))
| p2(f3(f4(f5(c22))),f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t210:3)],[p2_10]) ).
cnf(t215,plain,
$false,
inference(connection,[status(thm),parent(t214:1)],[t214:1,t210:3]) ).
cnf(t216,plain,
p2(f4(f5(c22)),f4(f5(c22))),
inference(extension,[status(thm),parent(t214:2)],[p2_3]) ).
cnf(t217,plain,
$false,
inference(connection,[status(thm),parent(t216:1)],[t216:1,t214:2]) ).
cnf(t218,plain,
( ~ p2(f3(f4(f5(c22))),f3(f4(f5(c22))))
| ~ p2(c21,c21)
| p2(f6(f3(f4(f5(c22))),c21),f6(f3(f4(f5(c22))),c21)) ),
inference(extension,[status(thm),parent(t160:4)],[p2_25]) ).
cnf(t219,plain,
$false,
inference(connection,[status(thm),parent(t218:1)],[t218:1,t160:4]) ).
cnf(t220,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t218:2)],[p2_3]) ).
cnf(t221,plain,
$false,
inference(connection,[status(thm),parent(t220:1)],[t220:1,t218:2]) ).
cnf(t222,plain,
( ~ p2(f4(f5(c22)),f4(f5(c22)))
| p2(f3(f4(f5(c22))),f3(f4(f5(c22)))) ),
inference(extension,[status(thm),parent(t218:3)],[p2_10]) ).
cnf(t223,plain,
$false,
inference(connection,[status(thm),parent(t222:1)],[t222:1,t218:3]) ).
cnf(t224,plain,
( ~ p2(f5(c22),f5(c22))
| p2(f4(f5(c22)),f4(f5(c22))) ),
inference(extension,[status(thm),parent(t222:2)],[p2_11]) ).
cnf(t225,plain,
$false,
inference(connection,[status(thm),parent(t224:1)],[t224:1,t222:2]) ).
cnf(t226,plain,
p2(f5(c22),f5(c22)),
inference(extension,[status(thm),parent(t224:2)],[p2_3]) ).
cnf(t227,plain,
$false,
inference(connection,[status(thm),parent(t226:1)],[t226:1,t224:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN615-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n006.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 07:05:42 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.30/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.30/0.57 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------