%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN631-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:10:45 AM UTC 2026
% Result : Unsatisfiable 75.26s 75.60s
% Output : Proof 75.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of clauses : 230 ( 162 unt; 0 nHn; 212 RR)
% Number of literals : 356 ( 0 equ; 128 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 67 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0),
file('theBenchmark.p',p10_1) ).
cnf(p9_2,negated_conjecture,
p9(X74,X74),
file('theBenchmark.p',p9_2) ).
cnf(p6_4,negated_conjecture,
p6(X62,X62),
file('theBenchmark.p',p6_4) ).
cnf(p5_5,negated_conjecture,
p5(X37,X37),
file('theBenchmark.p',p5_5) ).
cnf(p12_8,negated_conjecture,
p12(X5,X5),
file('theBenchmark.p',p12_8) ).
cnf(p5_11,negated_conjecture,
p5(f16(f18(X44,X45)),X45),
file('theBenchmark.p',p5_11) ).
cnf(p23_12,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
file('theBenchmark.p',p23_12) ).
cnf(not_p23_13,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
file('theBenchmark.p',not_p23_13) ).
cnf(p10_15,negated_conjecture,
( ~ p9(X3,X4)
| p10(f11(X3),f11(X4)) ),
file('theBenchmark.p',p10_15) ).
cnf(p5_17,negated_conjecture,
( ~ p6(X40,X41)
| p5(f14(X40),f14(X41)) ),
file('theBenchmark.p',p5_17) ).
cnf(p5_18,negated_conjecture,
( ~ p5(X42,X43)
| p5(f16(X42),f16(X43)) ),
file('theBenchmark.p',p5_18) ).
cnf(p10_21,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('theBenchmark.p',p10_21) ).
cnf(p9_22,negated_conjecture,
( ~ p9(X74,X76)
| ~ p9(X74,X75)
| p9(X75,X76) ),
file('theBenchmark.p',p9_22) ).
cnf(p6_24,negated_conjecture,
( ~ p6(X62,X64)
| ~ p6(X62,X63)
| p6(X63,X64) ),
file('theBenchmark.p',p6_24) ).
cnf(p5_25,negated_conjecture,
( ~ p5(X37,X39)
| ~ p5(X37,X38)
| p5(X38,X39) ),
file('theBenchmark.p',p5_25) ).
cnf(p23_29,negated_conjecture,
( ~ p10(X27,X26)
| ~ p23(X28,X27)
| ~ p12(X28,X25)
| p23(X25,X26) ),
file('theBenchmark.p',p23_29) ).
cnf(p12_32,negated_conjecture,
( ~ p5(X9,X11)
| ~ p5(X8,X10)
| p12(f13(X8,X9),f13(X10,X11)) ),
file('theBenchmark.p',p12_32) ).
cnf(p5_33,negated_conjecture,
( ~ p5(X51,X53)
| ~ p5(X50,X52)
| p5(f18(X50,X51),f18(X52,X53)) ),
file('theBenchmark.p',p5_33) ).
cnf(p5_34,negated_conjecture,
( ~ p23(f13(X30,X31),f11(f15(X29)))
| p5(X30,f18(f20(c29),f19(X29,X30,X31))) ),
file('theBenchmark.p',p5_34) ).
cnf(p23_35,negated_conjecture,
( ~ p23(f13(X30,X31),f11(f15(X29)))
| p23(f13(f19(X29,X30,X31),X31),f11(X29)) ),
file('theBenchmark.p',p23_35) ).
cnf(p5_38,negated_conjecture,
( ~ p5(X55,X58)
| ~ p9(X54,X57)
| ~ p5(X56,X59)
| p5(f19(X54,X55,X56),f19(X57,X58,X59)) ),
file('theBenchmark.p',p5_38) ).
cnf(t1,plain,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
inference(start,[status(thm),parent(0:0)],[not_p23_13]) ).
cnf(t2,plain,
( ~ p12(f13(f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f14(c28)),f13(f16(c27),f14(c28)))
| ~ p23(f13(f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f14(c28)),f11(c24))
| ~ p10(f11(c24),f11(c24))
| p23(f13(f16(c27),f14(c28)),f11(c24)) ),
inference(extension,[status(thm),parent(t1:1)],[p23_29]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p10(f11(c24),f11(c24))
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t2:2)],[p10_21]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p10(f11(c24),f11(c24))
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t4:2)],[p10_21]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p10(f11(c24),f11(c24))
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t6:2)],[p10_21]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p10(f11(c24),f11(c24))
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t8:2)],[p10_21]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p10(f11(c24),f11(c24))
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t10:2)],[p10_21]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p10(f11(c24),f11(c24)),
inference(extension,[status(thm),parent(t12:2)],[p10_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p10(f11(c24),f11(c24)),
inference(extension,[status(thm),parent(t12:3)],[p10_1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ p9(c24,c24)
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t10:3)],[p10_15]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
cnf(t20,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t18:2)],[p9_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ p9(c24,c24)
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t8:3)],[p10_15]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t8:3]) ).
cnf(t24,plain,
( ~ p9(c24,c24)
| ~ p9(c24,c24)
| p9(c24,c24) ),
inference(extension,[status(thm),parent(t22:2)],[p9_22]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t24:2)],[p9_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t24:3)],[p9_2]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ p9(c24,c24)
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t6:3)],[p10_15]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t6:3]) ).
cnf(t32,plain,
( ~ p9(c24,c24)
| ~ p9(c24,c24)
| p9(c24,c24) ),
inference(extension,[status(thm),parent(t30:2)],[p9_22]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ p9(c24,c24)
| ~ p9(c24,c24)
| p9(c24,c24) ),
inference(extension,[status(thm),parent(t32:2)],[p9_22]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t34:2)],[p9_2]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t34:3)],[p9_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t32:3)],[p9_2]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t32:3]) ).
cnf(t42,plain,
( ~ p9(c24,c24)
| p10(f11(c24),f11(c24)) ),
inference(extension,[status(thm),parent(t4:3)],[p10_15]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t4:3]) ).
cnf(t44,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t42:2)],[p9_2]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ p23(f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f11(f15(c24)))
| p23(f13(f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f14(c28)),f11(c24)) ),
inference(extension,[status(thm),parent(t2:3)],[p23_35]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t2:3]) ).
cnf(t48,plain,
( ~ p12(f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)))
| ~ p23(f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p23(f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t46:2)],[p23_29]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
( ~ p10(f11(f15(c24)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t48:2)],[p10_21]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ p10(f11(f15(c24)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t50:2)],[p10_21]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( ~ p10(f11(f15(c24)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t52:2)],[p10_21]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
p10(f11(f15(c24)),f11(f15(c24))),
inference(extension,[status(thm),parent(t54:2)],[p10_1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
p10(f11(f15(c24)),f11(f15(c24))),
inference(extension,[status(thm),parent(t54:3)],[p10_1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
cnf(t60,plain,
( ~ p9(f15(c24),f15(c24))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t52:3)],[p10_15]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:3]) ).
cnf(t62,plain,
p9(f15(c24),f15(c24)),
inference(extension,[status(thm),parent(t60:2)],[p9_2]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
( ~ p9(f15(c24),f15(c24))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t50:3)],[p10_15]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t50:3]) ).
cnf(t66,plain,
( ~ p9(f15(c24),f15(c24))
| ~ p9(f15(c24),f15(c24))
| p9(f15(c24),f15(c24)) ),
inference(extension,[status(thm),parent(t64:2)],[p9_22]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
p9(f15(c24),f15(c24)),
inference(extension,[status(thm),parent(t66:2)],[p9_2]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
p9(f15(c24),f15(c24)),
inference(extension,[status(thm),parent(t66:3)],[p9_2]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t66:3]) ).
cnf(t72,plain,
( ~ p12(f13(c27,f14(c28)),f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)))
| ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p23(f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t48:3)],[p23_29]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t48:3]) ).
cnf(t74,plain,
( ~ p10(f11(f15(c24)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t72:2)],[p10_21]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
( ~ p10(f11(f15(c24)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t74:2)],[p10_21]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
p10(f11(f15(c24)),f11(f15(c24))),
inference(extension,[status(thm),parent(t76:2)],[p10_1]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
p10(f11(f15(c24)),f11(f15(c24))),
inference(extension,[status(thm),parent(t76:3)],[p10_1]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t76:3]) ).
cnf(t82,plain,
( ~ p9(f15(c24),f15(c24))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t74:3)],[p10_15]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t74:3]) ).
cnf(t84,plain,
p9(f15(c24),f15(c24)),
inference(extension,[status(thm),parent(t82:2)],[p9_2]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
( ~ p12(f13(c27,f14(c28)),f13(c27,f14(c28)))
| ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p23(f13(c27,f14(c28)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t72:3)],[p23_29]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t72:3]) ).
cnf(t88,plain,
( ~ p10(f11(f15(c24)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p10(f11(f15(c24)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t86:2)],[p10_21]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
p10(f11(f15(c24)),f11(f15(c24))),
inference(extension,[status(thm),parent(t88:2)],[p10_1]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
p10(f11(f15(c24)),f11(f15(c24))),
inference(extension,[status(thm),parent(t88:3)],[p10_1]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t88:3]) ).
cnf(t94,plain,
( ~ p12(f13(c27,f14(c28)),f13(c27,f14(c28)))
| ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| ~ p10(f11(f15(c24)),f11(f15(c24)))
| p23(f13(c27,f14(c28)),f11(f15(c24))) ),
inference(extension,[status(thm),parent(t86:3)],[p23_29]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t86:3]) ).
cnf(t96,plain,
p10(f11(f15(c24)),f11(f15(c24))),
inference(extension,[status(thm),parent(t94:2)],[p10_1]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
cnf(t98,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(extension,[status(thm),parent(t94:3)],[p23_12]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t94:3]) ).
cnf(t100,plain,
p12(f13(c27,f14(c28)),f13(c27,f14(c28))),
inference(extension,[status(thm),parent(t94:4)],[p12_8]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t94:4]) ).
cnf(t102,plain,
( ~ p5(c27,c27)
| ~ p5(f14(c28),f14(c28))
| p12(f13(c27,f14(c28)),f13(c27,f14(c28))) ),
inference(extension,[status(thm),parent(t86:4)],[p12_32]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t86:4]) ).
cnf(t104,plain,
p5(f14(c28),f14(c28)),
inference(extension,[status(thm),parent(t102:2)],[p5_5]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t102:2]) ).
cnf(t106,plain,
p5(c27,c27),
inference(extension,[status(thm),parent(t102:3)],[p5_5]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t102:3]) ).
cnf(t108,plain,
( ~ p5(c27,f18(f20(c29),f19(c24,c27,f14(c28))))
| ~ p5(f14(c28),f14(c28))
| p12(f13(c27,f14(c28)),f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28))) ),
inference(extension,[status(thm),parent(t72:4)],[p12_32]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t72:4]) ).
cnf(t110,plain,
( ~ p5(f16(f18(U_721,f14(c28))),f14(c28))
| ~ p5(f16(f18(U_721,f14(c28))),f14(c28))
| p5(f14(c28),f14(c28)) ),
inference(extension,[status(thm),parent(t108:2)],[p5_25]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t108:2]) ).
cnf(t112,plain,
p5(f16(f18(U_721,f14(c28))),f14(c28)),
inference(extension,[status(thm),parent(t110:2)],[p5_11]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
p5(f16(f18(U_721,f14(c28))),f14(c28)),
inference(extension,[status(thm),parent(t110:3)],[p5_11]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t110:3]) ).
cnf(t116,plain,
( ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))) ),
inference(extension,[status(thm),parent(t108:3)],[p5_34]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t108:3]) ).
cnf(t118,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(extension,[status(thm),parent(t116:2)],[p23_12]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t116:2]) ).
cnf(t120,plain,
( ~ p5(f18(f20(c29),f19(c24,c27,f14(c28))),f18(f20(c29),f19(c24,c27,f14(c28))))
| ~ p5(f14(c28),f14(c28))
| p12(f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f13(f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28))) ),
inference(extension,[status(thm),parent(t48:4)],[p12_32]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t48:4]) ).
cnf(t122,plain,
( ~ p6(c28,c28)
| p5(f14(c28),f14(c28)) ),
inference(extension,[status(thm),parent(t120:2)],[p5_17]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t120:2]) ).
cnf(t124,plain,
( ~ p6(c28,c28)
| ~ p6(c28,c28)
| p6(c28,c28) ),
inference(extension,[status(thm),parent(t122:2)],[p6_24]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t122:2]) ).
cnf(t126,plain,
p6(c28,c28),
inference(extension,[status(thm),parent(t124:2)],[p6_4]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t124:2]) ).
cnf(t128,plain,
p6(c28,c28),
inference(extension,[status(thm),parent(t124:3)],[p6_4]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t124:3]) ).
cnf(t130,plain,
( ~ p5(f20(c29),f20(c29))
| ~ p5(f19(c24,c27,f14(c28)),f19(c24,c27,f14(c28)))
| p5(f18(f20(c29),f19(c24,c27,f14(c28))),f18(f20(c29),f19(c24,c27,f14(c28)))) ),
inference(extension,[status(thm),parent(t120:3)],[p5_33]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t120:3]) ).
cnf(t132,plain,
( ~ p5(f14(c28),f14(c28))
| ~ p9(c24,c24)
| ~ p5(c27,c27)
| p5(f19(c24,c27,f14(c28)),f19(c24,c27,f14(c28))) ),
inference(extension,[status(thm),parent(t130:2)],[p5_38]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t130:2]) ).
cnf(t134,plain,
p5(c27,c27),
inference(extension,[status(thm),parent(t132:2)],[p5_5]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t132:2]) ).
cnf(t136,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t132:3)],[p9_2]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t132:3]) ).
cnf(t138,plain,
p5(f14(c28),f14(c28)),
inference(extension,[status(thm),parent(t132:4)],[p5_5]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t132:4]) ).
cnf(t140,plain,
( ~ p5(f16(f18(U_755,f20(c29))),f20(c29))
| ~ p5(f16(f18(U_755,f20(c29))),f20(c29))
| p5(f20(c29),f20(c29)) ),
inference(extension,[status(thm),parent(t130:3)],[p5_25]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t130:3]) ).
cnf(t142,plain,
p5(f16(f18(U_755,f20(c29))),f20(c29)),
inference(extension,[status(thm),parent(t140:2)],[p5_11]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t140:2]) ).
cnf(t144,plain,
p5(f16(f18(U_755,f20(c29))),f20(c29)),
inference(extension,[status(thm),parent(t140:3)],[p5_11]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t140:3]) ).
cnf(t146,plain,
( ~ p5(f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f16(c27))
| ~ p5(f14(c28),f14(c28))
| p12(f13(f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f14(c28)),f13(f16(c27),f14(c28))) ),
inference(extension,[status(thm),parent(t2:4)],[p12_32]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t2:4]) ).
cnf(t148,plain,
( ~ p6(c28,c28)
| p5(f14(c28),f14(c28)) ),
inference(extension,[status(thm),parent(t146:2)],[p5_17]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t146:2]) ).
cnf(t150,plain,
p6(c28,c28),
inference(extension,[status(thm),parent(t148:2)],[p6_4]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t148:2]) ).
cnf(t152,plain,
( ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)))
| ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(c27))
| p5(f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)),f16(c27)) ),
inference(extension,[status(thm),parent(t146:3)],[p5_25]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t146:3]) ).
cnf(t154,plain,
( ~ p5(f16(c27),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| ~ p5(f16(c27),f16(c27))
| p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(c27)) ),
inference(extension,[status(thm),parent(t152:2)],[p5_25]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t152:2]) ).
cnf(t156,plain,
( ~ p5(f16(c27),f16(c27))
| ~ p5(f16(c27),f16(c27))
| p5(f16(c27),f16(c27)) ),
inference(extension,[status(thm),parent(t154:2)],[p5_25]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t154:2]) ).
cnf(t158,plain,
( ~ p5(f16(f18(U_778,f16(c27))),f16(c27))
| ~ p5(f16(f18(U_778,f16(c27))),f16(c27))
| p5(f16(c27),f16(c27)) ),
inference(extension,[status(thm),parent(t156:2)],[p5_25]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t156:2]) ).
cnf(t160,plain,
p5(f16(f18(U_778,f16(c27))),f16(c27)),
inference(extension,[status(thm),parent(t158:2)],[p5_11]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t158:2]) ).
cnf(t162,plain,
p5(f16(f18(U_778,f16(c27))),f16(c27)),
inference(extension,[status(thm),parent(t158:3)],[p5_11]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t158:3]) ).
cnf(t164,plain,
( ~ p5(f16(f18(U_785,f16(c27))),f16(c27))
| ~ p5(f16(f18(U_785,f16(c27))),f16(c27))
| p5(f16(c27),f16(c27)) ),
inference(extension,[status(thm),parent(t156:3)],[p5_25]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t156:3]) ).
cnf(t166,plain,
p5(f16(f18(U_785,f16(c27))),f16(c27)),
inference(extension,[status(thm),parent(t164:2)],[p5_11]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t164:2]) ).
cnf(t168,plain,
p5(f16(f18(U_785,f16(c27))),f16(c27)),
inference(extension,[status(thm),parent(t164:3)],[p5_11]) ).
cnf(t169,plain,
$false,
inference(connection,[status(thm),parent(t168:1)],[t168:1,t164:3]) ).
cnf(t170,plain,
( ~ p5(c27,f18(f20(c29),f19(c24,c27,f14(c28))))
| p5(f16(c27),f16(f18(f20(c29),f19(c24,c27,f14(c28))))) ),
inference(extension,[status(thm),parent(t154:3)],[p5_18]) ).
cnf(t171,plain,
$false,
inference(connection,[status(thm),parent(t170:1)],[t170:1,t154:3]) ).
cnf(t172,plain,
( ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))) ),
inference(extension,[status(thm),parent(t170:2)],[p5_34]) ).
cnf(t173,plain,
$false,
inference(connection,[status(thm),parent(t172:1)],[t172:1,t170:2]) ).
cnf(t174,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(extension,[status(thm),parent(t172:2)],[p23_12]) ).
cnf(t175,plain,
$false,
inference(connection,[status(thm),parent(t174:1)],[t174:1,t172:2]) ).
cnf(t176,plain,
( ~ p5(f19(c24,c27,f14(c28)),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| ~ p5(f19(c24,c27,f14(c28)),f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28)))
| p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28))) ),
inference(extension,[status(thm),parent(t152:3)],[p5_25]) ).
cnf(t177,plain,
$false,
inference(connection,[status(thm),parent(t176:1)],[t176:1,t152:3]) ).
cnf(t178,plain,
( ~ p5(f14(c28),f14(c28))
| ~ p9(c24,c24)
| ~ p5(c27,f18(f20(c29),f19(c24,c27,f14(c28))))
| p5(f19(c24,c27,f14(c28)),f19(c24,f18(f20(c29),f19(c24,c27,f14(c28))),f14(c28))) ),
inference(extension,[status(thm),parent(t176:2)],[p5_38]) ).
cnf(t179,plain,
$false,
inference(connection,[status(thm),parent(t178:1)],[t178:1,t176:2]) ).
cnf(t180,plain,
( ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))) ),
inference(extension,[status(thm),parent(t178:2)],[p5_34]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t178:2]) ).
cnf(t182,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(extension,[status(thm),parent(t180:2)],[p23_12]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t180:2]) ).
cnf(t184,plain,
( ~ p9(c24,c24)
| ~ p9(c24,c24)
| p9(c24,c24) ),
inference(extension,[status(thm),parent(t178:3)],[p9_22]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t178:3]) ).
cnf(t186,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t184:2)],[p9_2]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t184:2]) ).
cnf(t188,plain,
p9(c24,c24),
inference(extension,[status(thm),parent(t184:3)],[p9_2]) ).
cnf(t189,plain,
$false,
inference(connection,[status(thm),parent(t188:1)],[t188:1,t184:3]) ).
cnf(t190,plain,
( ~ p5(f16(f18(U_814,f14(c28))),f14(c28))
| ~ p5(f16(f18(U_814,f14(c28))),f14(c28))
| p5(f14(c28),f14(c28)) ),
inference(extension,[status(thm),parent(t178:4)],[p5_25]) ).
cnf(t191,plain,
$false,
inference(connection,[status(thm),parent(t190:1)],[t190:1,t178:4]) ).
cnf(t192,plain,
p5(f16(f18(U_814,f14(c28))),f14(c28)),
inference(extension,[status(thm),parent(t190:2)],[p5_11]) ).
cnf(t193,plain,
$false,
inference(connection,[status(thm),parent(t192:1)],[t192:1,t190:2]) ).
cnf(t194,plain,
p5(f16(f18(U_814,f14(c28))),f14(c28)),
inference(extension,[status(thm),parent(t190:3)],[p5_11]) ).
cnf(t195,plain,
$false,
inference(connection,[status(thm),parent(t194:1)],[t194:1,t190:3]) ).
cnf(t196,plain,
( ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28)))
| ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| p5(f19(c24,c27,f14(c28)),f16(f18(f20(c29),f19(c24,c27,f14(c28))))) ),
inference(extension,[status(thm),parent(t176:3)],[p5_25]) ).
cnf(t197,plain,
$false,
inference(connection,[status(thm),parent(t196:1)],[t196:1,t176:3]) ).
cnf(t198,plain,
( ~ p5(f16(f18(U_824,f16(f18(f20(c29),f19(c24,c27,f14(c28)))))),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| ~ p5(f16(f18(U_824,f16(f18(f20(c29),f19(c24,c27,f14(c28)))))),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(f18(f20(c29),f19(c24,c27,f14(c28))))) ),
inference(extension,[status(thm),parent(t196:2)],[p5_25]) ).
cnf(t199,plain,
$false,
inference(connection,[status(thm),parent(t198:1)],[t198:1,t196:2]) ).
cnf(t200,plain,
p5(f16(f18(U_824,f16(f18(f20(c29),f19(c24,c27,f14(c28)))))),f16(f18(f20(c29),f19(c24,c27,f14(c28))))),
inference(extension,[status(thm),parent(t198:2)],[p5_11]) ).
cnf(t201,plain,
$false,
inference(connection,[status(thm),parent(t200:1)],[t200:1,t198:2]) ).
cnf(t202,plain,
p5(f16(f18(U_824,f16(f18(f20(c29),f19(c24,c27,f14(c28)))))),f16(f18(f20(c29),f19(c24,c27,f14(c28))))),
inference(extension,[status(thm),parent(t198:3)],[p5_11]) ).
cnf(t203,plain,
$false,
inference(connection,[status(thm),parent(t202:1)],[t202:1,t198:3]) ).
cnf(t204,plain,
( ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28)))
| p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28))) ),
inference(extension,[status(thm),parent(t196:3)],[p5_25]) ).
cnf(t205,plain,
$false,
inference(connection,[status(thm),parent(t204:1)],[t204:1,t196:3]) ).
cnf(t206,plain,
p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28))),
inference(extension,[status(thm),parent(t204:2)],[p5_11]) ).
cnf(t207,plain,
$false,
inference(connection,[status(thm),parent(t206:1)],[t206:1,t204:2]) ).
cnf(t208,plain,
p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(f18(f20(c29),f19(c24,c27,f14(c28))))),
inference(extension,[status(thm),parent(t204:3)],[p5_5]) ).
cnf(t209,plain,
$false,
inference(connection,[status(thm),parent(t208:1)],[t208:1,t204:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN631-1 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 07:07:44 UTC 2026
% 0.08/0.36 % CPUTime :
% 75.26/75.60 % SZS status Unsatisfiable for theBenchmark
% 75.26/75.60 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------