%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN650-1 : 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 09:10:47 AM UTC 2026
% Result : Unsatisfiable 23.25s 23.58s
% Output : Proof 23.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 24
% Syntax : Number of clauses : 184 ( 133 unt; 6 nHn; 178 RR)
% Number of literals : 301 ( 0 equ; 117 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 63 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_2,negated_conjecture,
p8(X54,X54),
file('theBenchmark.p',p8_2) ).
cnf(p2_5,negated_conjecture,
p2(X12,X12),
file('theBenchmark.p',p2_5) ).
cnf(p22_8,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('theBenchmark.p',p22_8) ).
cnf(p23_9,negated_conjecture,
( ~ p2(X30,X29)
| ~ p23(X30)
| p23(X29) ),
file('theBenchmark.p',p23_9) ).
cnf(p24_10,negated_conjecture,
p24(c33,f20(f11(c29,f12(c27,c30)))),
file('theBenchmark.p',p24_10) ).
cnf(p8_12,negated_conjecture,
( ~ p8(X67,X68)
| p8(f16(X67),f16(X68)) ),
file('theBenchmark.p',p8_12) ).
cnf(p2_16,negated_conjecture,
( ~ p2(X19,X20)
| p2(f3(X19),f3(X20)) ),
file('theBenchmark.p',p2_16) ).
cnf(p8_18,negated_conjecture,
( ~ p8(X54,X56)
| ~ p8(X54,X55)
| p8(X55,X56) ),
file('theBenchmark.p',p8_18) ).
cnf(p2_21,negated_conjecture,
( ~ p2(X12,X14)
| ~ p2(X12,X13)
| p2(X13,X14) ),
file('theBenchmark.p',p2_21) ).
cnf(not_p8_24,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
file('theBenchmark.p',not_p8_24) ).
cnf(p25_25,negated_conjecture,
( ~ p25(X42,X43)
| ~ p8(X43,X41)
| ~ p8(X42,X40)
| p25(X40,X41) ),
file('theBenchmark.p',p25_25) ).
cnf(p22_26,negated_conjecture,
( ~ p2(X27,X25)
| ~ p22(X27,X28)
| ~ p2(X28,X26)
| p22(X25,X26) ),
file('theBenchmark.p',p22_26) ).
cnf(p10_28,negated_conjecture,
( ~ p2(X4,X6)
| ~ p2(X3,X5)
| p10(f12(X3,X4),f12(X5,X6)) ),
file('theBenchmark.p',p10_28) ).
cnf(p6_32,negated_conjecture,
( ~ p2(X47,X49)
| ~ p10(X48,X50)
| p6(f11(X47,X48),f11(X49,X50)) ),
file('theBenchmark.p',p6_32) ).
cnf(p2_33,negated_conjecture,
( ~ p8(X16,X18)
| ~ p6(X15,X17)
| p2(f18(X15,X16),f18(X17,X18)) ),
file('theBenchmark.p',p2_33) ).
cnf(f18_is_not_p23_34,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
file('theBenchmark.p',f18_is_not_p23_34) ).
cnf(p8_35,negated_conjecture,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('theBenchmark.p',p8_35) ).
cnf(p24_37,negated_conjecture,
( ~ p22(f3(f4(f5(c26))),X32)
| p24(f9(f11(X31,f12(X32,X33)),c31,X34),f20(f11(X31,f12(X32,X33)))) ),
file('theBenchmark.p',p24_37) ).
cnf(p8_38,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('theBenchmark.p',p8_38) ).
cnf(p25_40,negated_conjecture,
( ~ p24(X35,f20(f11(X31,f12(X32,X33))))
| ~ p22(f3(f4(f5(c26))),X32)
| p25(f16(f17(X34,f9(f11(X31,f12(X32,X33)),c31,X34))),f16(f17(X34,X35))) ),
file('theBenchmark.p',p25_40) ).
cnf(p8_42,negated_conjecture,
( ~ p24(X35,f20(f11(X31,f12(X32,X33))))
| ~ p23(f18(f11(X31,f12(X32,X33)),X35))
| ~ p22(f3(f4(f5(c26))),X32)
| p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33))))
| p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) ),
file('theBenchmark.p',p8_42) ).
cnf(p8_43,negated_conjecture,
( ~ p25(f16(f17(X34,X35)),f16(f17(X34,f21(X31,X32,X33,X34,X35))))
| ~ p24(X35,f20(f11(X31,f12(X32,X33))))
| ~ p23(f18(f11(X31,f12(X32,X33)),X35))
| ~ p22(f3(f4(f5(c26))),X32)
| p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) ),
file('theBenchmark.p',p8_43) ).
cnf(p8_44,negated_conjecture,
( ~ p24(X35,f20(f11(X31,f12(X32,X33))))
| ~ p22(f3(f4(f5(c26))),X32)
| p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34)))
| p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33))))
| p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) ),
file('theBenchmark.p',p8_44) ).
cnf(p8_45,negated_conjecture,
( ~ p25(f16(f17(X34,X35)),f16(f17(X34,f21(X31,X32,X33,X34,X35))))
| ~ p24(X35,f20(f11(X31,f12(X32,X33))))
| ~ p22(f3(f4(f5(c26))),X32)
| p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34)))
| p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) ),
file('theBenchmark.p',p8_45) ).
cnf(t1,plain,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
inference(start,[status(thm),parent(0:0)],[not_p8_24]) ).
cnf(t2,plain,
( p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30))))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(c33,f20(f11(c29,f12(c27,c30))))
| p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)) ),
inference(extension,[status(thm),parent(t1:1)],[p8_44]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p24(c33,f20(f11(c29,f12(c27,c30)))),
inference(extension,[status(thm),parent(t2:2)],[p24_10]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
p24(c33,f20(f11(c29,f12(c27,c30)))),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
( ~ p2(c27,c27)
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p22(f3(f4(f5(c26))),c27) ),
inference(extension,[status(thm),parent(t2:3)],[p22_26]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t6:2)],[p2_21]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t8:2)],[p2_21]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t10:2)],[p2_21]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p2(f3(f4(f5(c26))),f3(f4(f5(c26)))),
inference(extension,[status(thm),parent(t12:2)],[p2_5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p2(f3(f4(f5(c26))),f3(f4(f5(c26)))),
inference(extension,[status(thm),parent(t12:3)],[p2_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ p2(f4(f5(c26)),f4(f5(c26)))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t10:3)],[p2_16]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
cnf(t20,plain,
p2(f4(f5(c26)),f4(f5(c26))),
inference(extension,[status(thm),parent(t18:2)],[p2_5]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ p2(f4(f5(c26)),f4(f5(c26)))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t8:3)],[p2_16]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t8:3]) ).
cnf(t24,plain,
( ~ p2(f4(f5(c26)),f4(f5(c26)))
| ~ p2(f4(f5(c26)),f4(f5(c26)))
| p2(f4(f5(c26)),f4(f5(c26))) ),
inference(extension,[status(thm),parent(t22:2)],[p2_21]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p2(f4(f5(c26)),f4(f5(c26))),
inference(extension,[status(thm),parent(t24:2)],[p2_5]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p2(f4(f5(c26)),f4(f5(c26))),
inference(extension,[status(thm),parent(t24:3)],[p2_5]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ p2(c27,c27)
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p22(f3(f4(f5(c26))),c27) ),
inference(extension,[status(thm),parent(t6:3)],[p22_26]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t6:3]) ).
cnf(t32,plain,
( ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t30:2)],[p2_21]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t32:2)],[p2_21]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p2(f3(f4(f5(c26))),f3(f4(f5(c26)))),
inference(extension,[status(thm),parent(t34:2)],[p2_5]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p2(f3(f4(f5(c26))),f3(f4(f5(c26)))),
inference(extension,[status(thm),parent(t34:3)],[p2_5]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
( ~ p2(f4(f5(c26)),f4(f5(c26)))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t32:3)],[p2_16]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t32:3]) ).
cnf(t42,plain,
p2(f4(f5(c26)),f4(f5(c26))),
inference(extension,[status(thm),parent(t40:2)],[p2_5]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
( ~ p2(c27,c27)
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p22(f3(f4(f5(c26))),c27) ),
inference(extension,[status(thm),parent(t30:3)],[p22_26]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t30:3]) ).
cnf(t46,plain,
( ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p2(f3(f4(f5(c26))),f3(f4(f5(c26)))) ),
inference(extension,[status(thm),parent(t44:2)],[p2_21]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
p2(f3(f4(f5(c26))),f3(f4(f5(c26)))),
inference(extension,[status(thm),parent(t46:2)],[p2_5]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
p2(f3(f4(f5(c26))),f3(f4(f5(c26)))),
inference(extension,[status(thm),parent(t46:3)],[p2_5]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t46:3]) ).
cnf(t52,plain,
( ~ p2(c27,c27)
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p2(f3(f4(f5(c26))),f3(f4(f5(c26))))
| p22(f3(f4(f5(c26))),c27) ),
inference(extension,[status(thm),parent(t44:3)],[p22_26]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t44:3]) ).
cnf(t54,plain,
p2(f3(f4(f5(c26))),f3(f4(f5(c26)))),
inference(extension,[status(thm),parent(t52:2)],[p2_5]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
p22(f3(f4(f5(c26))),c27),
inference(extension,[status(thm),parent(t52:3)],[p22_8]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
p2(c27,c27),
inference(extension,[status(thm),parent(t52:4)],[p2_5]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t52:4]) ).
cnf(t60,plain,
( ~ p2(c27,c27)
| ~ p2(c27,c27)
| p2(c27,c27) ),
inference(extension,[status(thm),parent(t44:4)],[p2_21]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t44:4]) ).
cnf(t62,plain,
p2(c27,c27),
inference(extension,[status(thm),parent(t60:2)],[p2_5]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
p2(c27,c27),
inference(extension,[status(thm),parent(t60:3)],[p2_5]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
p2(c27,c27),
inference(extension,[status(thm),parent(t30:4)],[p2_5]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t30:4]) ).
cnf(t68,plain,
p2(c27,c27),
inference(extension,[status(thm),parent(t6:4)],[p2_5]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t6:4]) ).
cnf(l3,lemma,
p22(f3(f4(f5(c26))),c27),
inference(lemma,[status(cth),parent(t2:3),below(t1:1)],[t2:3]) ).
cnf(t70,plain,
( ~ p22(f3(f4(f5(c26))),c27)
| ~ p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,c32,f9(f11(c29,f12(c27,c30)),c31,c32)))))
| ~ p24(f9(f11(c29,f12(c27,c30)),c31,c32),f20(f11(c29,f12(c27,c30))))
| p8(f9(f11(c29,f12(c27,c30)),c31,c32),f9(f11(c29,f12(c27,c30)),c31,c32))
| ~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
inference(extension,[status(thm),parent(t2:4)],[p8_43]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t2:4]) ).
cnf(t72,plain,
( ~ p6(f11(c29,f12(c27,c30)),f11(c29,f12(c27,c30)))
| p2(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)),f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| ~ p8(f9(f11(c29,f12(c27,c30)),c31,c32),f9(f11(c29,f12(c27,c30)),c31,c32)) ),
inference(extension,[status(thm),parent(t70:2)],[p2_33]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
( ~ p2(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)),f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| p2(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)),f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| ~ p2(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)),f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
inference(extension,[status(thm),parent(t72:2)],[p2_21]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
( ~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| ~ p2(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)),f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
inference(extension,[status(thm),parent(t74:2)],[p23_9]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
inference(extension,[status(thm),parent(t76:2)],[f18_is_not_p23_34]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
$false,
inference(reduction,[status(thm),parent(t76:3)],[t76:3,t2:4]) ).
cnf(t81,plain,
$false,
inference(reduction,[status(thm),parent(t74:3)],[t74:3,t72:2]) ).
cnf(t82,plain,
( ~ p10(f12(c27,c30),f12(c27,c30))
| ~ p2(c29,c29)
| p6(f11(c29,f12(c27,c30)),f11(c29,f12(c27,c30))) ),
inference(extension,[status(thm),parent(t72:3)],[p6_32]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t72:3]) ).
cnf(t84,plain,
( ~ p2(c29,c29)
| ~ p2(c29,c29)
| p2(c29,c29) ),
inference(extension,[status(thm),parent(t82:2)],[p2_21]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
p2(c29,c29),
inference(extension,[status(thm),parent(t84:2)],[p2_5]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
p2(c29,c29),
inference(extension,[status(thm),parent(t84:3)],[p2_5]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t84:3]) ).
cnf(t90,plain,
( ~ p2(c27,c27)
| ~ p2(c30,c30)
| p10(f12(c27,c30),f12(c27,c30)) ),
inference(extension,[status(thm),parent(t82:3)],[p10_28]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t82:3]) ).
cnf(t92,plain,
p2(c30,c30),
inference(extension,[status(thm),parent(t90:2)],[p2_5]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
p2(c27,c27),
inference(extension,[status(thm),parent(t90:3)],[p2_5]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t90:3]) ).
cnf(l36,lemma,
~ p8(f9(f11(c29,f12(c27,c30)),c31,c32),f9(f11(c29,f12(c27,c30)),c31,c32)),
inference(lemma,[status(cth),parent(t70:2),below(t2:4)],[t70:2]) ).
cnf(t96,plain,
( ~ p22(f3(f4(f5(c26))),c27)
| p24(f9(f11(c29,f12(c27,c30)),c31,c32),f20(f11(c29,f12(c27,c30)))) ),
inference(extension,[status(thm),parent(t70:3)],[p24_37]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t70:3]) ).
cnf(t98,plain,
p22(f3(f4(f5(c26))),c27),
inference(lemma_extension,[status(thm),parent(t96:2)],[l3:1]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(l49,lemma,
p24(f9(f11(c29,f12(c27,c30)),c31,c32),f20(f11(c29,f12(c27,c30)))),
inference(lemma,[status(cth),parent(t70:3),below(t2:4)],[t70:3]) ).
cnf(t100,plain,
( ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(f21(c29,c27,c30,c32,f9(f11(c29,f12(c27,c30)),c31,c32)),f20(f11(c29,f12(c27,c30))))
| p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,c32,f9(f11(c29,f12(c27,c30)),c31,c32))))) ),
inference(extension,[status(thm),parent(t70:4)],[p25_40]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t70:4]) ).
cnf(t102,plain,
( ~ p24(f9(f11(c29,f12(c27,c30)),c31,c32),f20(f11(c29,f12(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| p8(f9(f11(c29,f12(c27,c30)),c31,c32),f9(f11(c29,f12(c27,c30)),c31,c32))
| p24(f21(c29,c27,c30,c32,f9(f11(c29,f12(c27,c30)),c31,c32)),f20(f11(c29,f12(c27,c30)))) ),
inference(extension,[status(thm),parent(t100:2)],[p8_42]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).
cnf(t104,plain,
~ p8(f9(f11(c29,f12(c27,c30)),c31,c32),f9(f11(c29,f12(c27,c30)),c31,c32)),
inference(lemma_extension,[status(thm),parent(t102:2)],[l36:1]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t102:2]) ).
cnf(t106,plain,
$false,
inference(reduction,[status(thm),parent(t102:3)],[t102:3,t2:4]) ).
cnf(t107,plain,
p22(f3(f4(f5(c26))),c27),
inference(lemma_extension,[status(thm),parent(t102:4)],[l3:1]) ).
cnf(t108,plain,
$false,
inference(connection,[status(thm),parent(t107:1)],[t107:1,t102:4]) ).
cnf(t109,plain,
p24(f9(f11(c29,f12(c27,c30)),c31,c32),f20(f11(c29,f12(c27,c30)))),
inference(lemma_extension,[status(thm),parent(t102:5)],[l49:1]) ).
cnf(t110,plain,
$false,
inference(connection,[status(thm),parent(t109:1)],[t109:1,t102:5]) ).
cnf(t111,plain,
p22(f3(f4(f5(c26))),c27),
inference(lemma_extension,[status(thm),parent(t100:3)],[l3:1]) ).
cnf(t112,plain,
$false,
inference(connection,[status(thm),parent(t111:1)],[t111:1,t100:3]) ).
cnf(t113,plain,
p22(f3(f4(f5(c26))),c27),
inference(lemma_extension,[status(thm),parent(t70:5)],[l3:1]) ).
cnf(t114,plain,
$false,
inference(connection,[status(thm),parent(t113:1)],[t113:1,t70:5]) ).
cnf(l35,lemma,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
inference(lemma,[status(cth),parent(t2:4),below(t1:1)],[t2:4]) ).
cnf(t115,plain,
( ~ p22(f3(f4(f5(c26))),c27)
| p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30)))) ),
inference(extension,[status(thm),parent(t2:5)],[p25_40]) ).
cnf(t116,plain,
$false,
inference(connection,[status(thm),parent(t115:1)],[t115:1,t2:5]) ).
cnf(t117,plain,
( ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33)))
| ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(extension,[status(thm),parent(t115:2)],[p25_25]) ).
cnf(t118,plain,
$false,
inference(connection,[status(thm),parent(t117:1)],[t117:1,t115:2]) ).
cnf(t119,plain,
( p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(c33,f20(f11(c29,f12(c27,c30))))
| p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))
| ~ p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(extension,[status(thm),parent(t117:2)],[p8_45]) ).
cnf(t120,plain,
$false,
inference(connection,[status(thm),parent(t119:1)],[t119:1,t117:2]) ).
cnf(t121,plain,
$false,
inference(reduction,[status(thm),parent(t119:2)],[t119:2,t1:1]) ).
cnf(t122,plain,
p24(c33,f20(f11(c29,f12(c27,c30)))),
inference(lemma_extension,[status(thm),parent(t119:3)],[l2:1]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t119:3]) ).
cnf(t124,plain,
p22(f3(f4(f5(c26))),c27),
inference(lemma_extension,[status(thm),parent(t119:4)],[l3:1]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t119:4]) ).
cnf(t126,plain,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
inference(lemma_extension,[status(thm),parent(t119:5)],[l35:1]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t119:5]) ).
cnf(t128,plain,
( ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(extension,[status(thm),parent(t117:3)],[p8_18]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t117:3]) ).
cnf(t130,plain,
( ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(extension,[status(thm),parent(t128:2)],[p8_18]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t128:2]) ).
cnf(t132,plain,
p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(extension,[status(thm),parent(t130:2)],[p8_2]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t130:2]) ).
cnf(t134,plain,
p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(extension,[status(thm),parent(t130:3)],[p8_2]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t130:3]) ).
cnf(t136,plain,
( ~ p8(f17(c32,f21(c29,c27,c30,c32,c33)),f17(c32,f21(c29,c27,c30,c32,c33)))
| p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(extension,[status(thm),parent(t128:3)],[p8_12]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t128:3]) ).
cnf(t138,plain,
p8(f17(c32,f21(c29,c27,c30,c32,c33)),f17(c32,f21(c29,c27,c30,c32,c33))),
inference(extension,[status(thm),parent(t136:2)],[p8_2]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t136:2]) ).
cnf(t140,plain,
( ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))))
| ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33)))
| p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33))) ),
inference(extension,[status(thm),parent(t117:4)],[p8_18]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t117:4]) ).
cnf(t142,plain,
( ~ p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))))
| ~ p8(f16(f17(c32,c33)),f16(f17(c32,c33)))
| p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33))) ),
inference(extension,[status(thm),parent(t140:2)],[p8_18]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t140:2]) ).
cnf(t144,plain,
p8(f16(f17(c32,c33)),f16(f17(c32,c33))),
inference(extension,[status(thm),parent(t142:2)],[p8_2]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t142:2]) ).
cnf(t146,plain,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
inference(extension,[status(thm),parent(t142:3)],[p8_35]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t142:3]) ).
cnf(t148,plain,
( ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))))
| ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))))
| p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32)))) ),
inference(extension,[status(thm),parent(t140:3)],[p8_18]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t140:3]) ).
cnf(t150,plain,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32)))),
inference(extension,[status(thm),parent(t148:2)],[p8_2]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t148:2]) ).
cnf(t152,plain,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
inference(extension,[status(thm),parent(t148:3)],[p8_38]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t148:3]) ).
cnf(t154,plain,
p22(f3(f4(f5(c26))),c27),
inference(lemma_extension,[status(thm),parent(t115:3)],[l3:1]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t115:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN650-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN 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
% 0.10/0.34 % Computer : n006.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sun Sep 20 07:06:12 UTC 2026
% 0.10/0.34 % CPUTime :
% 23.25/23.58 % SZS status Unsatisfiable for theBenchmark
% 23.25/23.58 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------