%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN558-1 : 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 : n019.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 09:10:35 AM UTC 2026
% Result : Unsatisfiable 3.73s 4.29s
% Output : Proof 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 169 ( 138 unt; 0 nHn; 165 RR)
% Number of literals : 261 ( 0 equ; 94 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 28 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0),
file('theBenchmark.p',p2_1) ).
cnf(p4_2,negated_conjecture,
p4(X8,X8),
file('theBenchmark.p',p4_2) ).
cnf(p6_3,negated_conjecture,
p6(c7,f3(X21)),
file('theBenchmark.p',p6_3) ).
cnf(p5_4,negated_conjecture,
p5(c7,c10,c9),
file('theBenchmark.p',p5_4) ).
cnf(p5_5,negated_conjecture,
p5(c7,c10,c8),
file('theBenchmark.p',p5_5) ).
cnf(p5_6,negated_conjecture,
p5(c7,X21,f3(X21)),
file('theBenchmark.p',p5_6) ).
cnf(not_p5_8,negated_conjecture,
( ~ p5(c7,c9,X26)
| ~ p5(c7,c8,X26) ),
file('theBenchmark.p',not_p5_8) ).
cnf(p2_9,negated_conjecture,
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
file('theBenchmark.p',p2_9) ).
cnf(p4_10,negated_conjecture,
( ~ p4(X8,X10)
| ~ p4(X8,X9)
| p4(X9,X10) ),
file('theBenchmark.p',p4_10) ).
cnf(p5_11,negated_conjecture,
( ~ p5(X11,X14,X13)
| ~ p5(X11,X12,X14)
| p5(X11,X12,X13) ),
file('theBenchmark.p',p5_11) ).
cnf(p6_12,negated_conjecture,
( ~ p2(X24,X23)
| ~ p6(X25,X24)
| ~ p4(X25,X22)
| p6(X22,X23) ),
file('theBenchmark.p',p6_12) ).
cnf(p2_13,negated_conjecture,
( ~ p5(c7,X5,X3)
| ~ p5(c7,X5,X4)
| ~ p6(c7,X3)
| ~ p6(c7,X4)
| p2(X3,X4) ),
file('theBenchmark.p',p2_13) ).
cnf(p5_14,negated_conjecture,
( ~ p5(X20,X18,X19)
| ~ p4(X20,X15)
| ~ p2(X19,X17)
| ~ p2(X18,X16)
| p5(X15,X16,X17) ),
file('theBenchmark.p',p5_14) ).
cnf(t1,plain,
( ~ p5(c7,c9,f3(c8))
| ~ p5(c7,c8,f3(c8)) ),
inference(start,[status(thm),parent(0:0)],[not_p5_8]) ).
cnf(t2,plain,
( ~ p2(c8,c8)
| ~ p2(f3(c8),f3(c8))
| ~ p4(c7,c7)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c8,f3(c8)) ),
inference(extension,[status(thm),parent(t1:1)],[p5_14]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(c8,c8)
| ~ p2(f3(c8),f3(c8))
| ~ p4(c7,c7)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c8,f3(c8)) ),
inference(extension,[status(thm),parent(t2:2)],[p5_14]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(c8,c8)
| ~ p2(f3(c8),f3(c8))
| ~ p4(c7,c7)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c8,f3(c8)) ),
inference(extension,[status(thm),parent(t4:2)],[p5_14]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p5(c7,c8,f3(c8)),
inference(extension,[status(thm),parent(t6:2)],[p5_6]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t6:3)],[p4_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
p2(f3(c8),f3(c8)),
inference(extension,[status(thm),parent(t6:4)],[p2_1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t6:5)],[p2_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).
cnf(t16,plain,
( ~ p4(c7,c7)
| ~ p4(c7,c7)
| p4(c7,c7) ),
inference(extension,[status(thm),parent(t4:3)],[p4_10]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:3]) ).
cnf(t18,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t16:2)],[p4_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t16:3)],[p4_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
( ~ p6(c7,f3(c8))
| ~ p6(c7,f3(c8))
| ~ p5(c7,c8,f3(c8))
| ~ p5(c7,c8,f3(c8))
| p2(f3(c8),f3(c8)) ),
inference(extension,[status(thm),parent(t4:4)],[p2_13]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t4:4]) ).
cnf(t24,plain,
p5(c7,c8,f3(c8)),
inference(extension,[status(thm),parent(t22:2)],[p5_6]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p5(c7,c8,f3(c8)),
inference(extension,[status(thm),parent(t22:3)],[p5_6]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
p6(c7,f3(c8)),
inference(extension,[status(thm),parent(t22:4)],[p6_3]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t22:4]) ).
cnf(l14,lemma,
p6(c7,f3(c8)),
inference(lemma,[status(cth),parent(t22:4),below(t4:4)],[t22:4]) ).
cnf(t30,plain,
p6(c7,f3(c8)),
inference(lemma_extension,[status(thm),parent(t22:5)],[l14:1]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:5]) ).
cnf(t32,plain,
( ~ p2(c8,c8)
| ~ p2(c8,c8)
| p2(c8,c8) ),
inference(extension,[status(thm),parent(t4:5)],[p2_9]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t4:5]) ).
cnf(t34,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t32:2)],[p2_1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t32:3)],[p2_1]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t2:3)],[p4_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:3]) ).
cnf(l18,lemma,
p4(c7,c7),
inference(lemma,[status(cth),parent(t2:3),below(t1:1)],[t2:3]) ).
cnf(t40,plain,
( ~ p6(c7,f3(c8))
| ~ p6(c7,f3(c8))
| ~ p5(c7,c8,f3(c8))
| ~ p5(c7,c8,f3(c8))
| p2(f3(c8),f3(c8)) ),
inference(extension,[status(thm),parent(t2:4)],[p2_13]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:4]) ).
cnf(t42,plain,
( ~ p2(c8,c8)
| ~ p2(f3(c8),f3(c8))
| ~ p4(c7,c7)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c8,f3(c8)) ),
inference(extension,[status(thm),parent(t40:2)],[p5_14]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
p5(c7,c8,f3(c8)),
inference(extension,[status(thm),parent(t42:2)],[p5_6]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
p4(c7,c7),
inference(lemma_extension,[status(thm),parent(t42:3)],[l18:1]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
p2(f3(c8),f3(c8)),
inference(extension,[status(thm),parent(t42:4)],[p2_1]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t42:4]) ).
cnf(t50,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t42:5)],[p2_1]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t42:5]) ).
cnf(t52,plain,
( ~ p2(c8,c8)
| ~ p2(f3(c8),f3(c8))
| ~ p4(c7,c7)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c8,f3(c8)) ),
inference(extension,[status(thm),parent(t40:3)],[p5_14]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t40:3]) ).
cnf(t54,plain,
p5(c7,c8,f3(c8)),
inference(extension,[status(thm),parent(t52:2)],[p5_6]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
p4(c7,c7),
inference(lemma_extension,[status(thm),parent(t52:3)],[l18:1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
p2(f3(c8),f3(c8)),
inference(extension,[status(thm),parent(t52:4)],[p2_1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t52:4]) ).
cnf(t60,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t52:5)],[p2_1]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:5]) ).
cnf(t62,plain,
( ~ p4(c7,c7)
| ~ p6(c7,f3(c8))
| ~ p2(f3(c8),f3(c8))
| p6(c7,f3(c8)) ),
inference(extension,[status(thm),parent(t40:4)],[p6_12]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t40:4]) ).
cnf(t64,plain,
p2(f3(c8),f3(c8)),
inference(extension,[status(thm),parent(t62:2)],[p2_1]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
p6(c7,f3(c8)),
inference(extension,[status(thm),parent(t62:3)],[p6_3]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t62:3]) ).
cnf(t68,plain,
p4(c7,c7),
inference(lemma_extension,[status(thm),parent(t62:4)],[l18:1]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t62:4]) ).
cnf(l28,lemma,
p6(c7,f3(c8)),
inference(lemma,[status(cth),parent(t40:4),below(t2:4)],[t40:4]) ).
cnf(t70,plain,
p6(c7,f3(c8)),
inference(lemma_extension,[status(thm),parent(t40:5)],[l28:1]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t40:5]) ).
cnf(t72,plain,
( ~ p2(c8,c8)
| ~ p2(c8,c8)
| p2(c8,c8) ),
inference(extension,[status(thm),parent(t2:5)],[p2_9]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t2:5]) ).
cnf(t74,plain,
( ~ p2(c8,c8)
| ~ p2(c8,c8)
| p2(c8,c8) ),
inference(extension,[status(thm),parent(t72:2)],[p2_9]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t74:2)],[p2_1]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t74:3)],[p2_1]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t74:3]) ).
cnf(t80,plain,
p2(c8,c8),
inference(extension,[status(thm),parent(t72:3)],[p2_1]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t72:3]) ).
cnf(t82,plain,
( ~ p2(c9,c9)
| ~ p2(f3(c9),f3(c8))
| ~ p4(c7,c7)
| ~ p5(c7,c9,f3(c9))
| p5(c7,c9,f3(c8)) ),
inference(extension,[status(thm),parent(t1:2)],[p5_14]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t1:2]) ).
cnf(t84,plain,
( ~ p2(c9,c9)
| ~ p2(f3(c9),f3(c9))
| ~ p4(c7,c7)
| ~ p5(c7,c9,f3(c9))
| p5(c7,c9,f3(c9)) ),
inference(extension,[status(thm),parent(t82:2)],[p5_14]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
( ~ p2(c9,c9)
| ~ p2(f3(c9),f3(c9))
| ~ p4(c7,c7)
| ~ p5(c7,c9,f3(c9))
| p5(c7,c9,f3(c9)) ),
inference(extension,[status(thm),parent(t84:2)],[p5_14]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
p5(c7,c9,f3(c9)),
inference(extension,[status(thm),parent(t86:2)],[p5_6]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t86:3)],[p4_2]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t86:3]) ).
cnf(t92,plain,
p2(f3(c9),f3(c9)),
inference(extension,[status(thm),parent(t86:4)],[p2_1]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t86:4]) ).
cnf(t94,plain,
p2(c9,c9),
inference(extension,[status(thm),parent(t86:5)],[p2_1]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t86:5]) ).
cnf(t96,plain,
( ~ p4(c7,c7)
| ~ p4(c7,c7)
| p4(c7,c7) ),
inference(extension,[status(thm),parent(t84:3)],[p4_10]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t84:3]) ).
cnf(t98,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t96:2)],[p4_2]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t96:3)],[p4_2]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t96:3]) ).
cnf(t102,plain,
( ~ p6(c7,f3(c9))
| ~ p6(c7,f3(c9))
| ~ p5(c7,c9,f3(c9))
| ~ p5(c7,c9,f3(c9))
| p2(f3(c9),f3(c9)) ),
inference(extension,[status(thm),parent(t84:4)],[p2_13]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t84:4]) ).
cnf(t104,plain,
p5(c7,c9,f3(c9)),
inference(extension,[status(thm),parent(t102:2)],[p5_6]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t102:2]) ).
cnf(t106,plain,
p5(c7,c9,f3(c9)),
inference(extension,[status(thm),parent(t102:3)],[p5_6]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t102:3]) ).
cnf(t108,plain,
p6(c7,f3(c9)),
inference(extension,[status(thm),parent(t102:4)],[p6_3]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t102:4]) ).
cnf(l49,lemma,
p6(c7,f3(c9)),
inference(lemma,[status(cth),parent(t102:4),below(t84:4)],[t102:4]) ).
cnf(t110,plain,
p6(c7,f3(c9)),
inference(lemma_extension,[status(thm),parent(t102:5)],[l49:1]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t102:5]) ).
cnf(t112,plain,
( ~ p2(c9,c9)
| ~ p2(c9,c9)
| p2(c9,c9) ),
inference(extension,[status(thm),parent(t84:5)],[p2_9]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t84:5]) ).
cnf(t114,plain,
p2(c9,c9),
inference(extension,[status(thm),parent(t112:2)],[p2_1]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(t116,plain,
p2(c9,c9),
inference(extension,[status(thm),parent(t112:3)],[p2_1]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t112:3]) ).
cnf(t118,plain,
p4(c7,c7),
inference(extension,[status(thm),parent(t82:3)],[p4_2]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t82:3]) ).
cnf(l53,lemma,
p4(c7,c7),
inference(lemma,[status(cth),parent(t82:3),below(t1:2)],[t82:3]) ).
cnf(t120,plain,
( ~ p6(c7,f3(c8))
| ~ p6(c7,f3(c9))
| ~ p5(c7,c10,f3(c8))
| ~ p5(c7,c10,f3(c9))
| p2(f3(c9),f3(c8)) ),
inference(extension,[status(thm),parent(t82:4)],[p2_13]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t82:4]) ).
cnf(t122,plain,
( ~ p5(c7,c10,c9)
| ~ p5(c7,c9,f3(c9))
| p5(c7,c10,f3(c9)) ),
inference(extension,[status(thm),parent(t120:2)],[p5_11]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t120:2]) ).
cnf(t124,plain,
p5(c7,c9,f3(c9)),
inference(extension,[status(thm),parent(t122:2)],[p5_6]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t122:2]) ).
cnf(t126,plain,
p5(c7,c10,c9),
inference(extension,[status(thm),parent(t122:3)],[p5_4]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t122:3]) ).
cnf(t128,plain,
( ~ p5(c7,c10,c8)
| ~ p5(c7,c8,f3(c8))
| p5(c7,c10,f3(c8)) ),
inference(extension,[status(thm),parent(t120:3)],[p5_11]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t120:3]) ).
cnf(t130,plain,
p5(c7,c8,f3(c8)),
inference(extension,[status(thm),parent(t128:2)],[p5_6]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t128:2]) ).
cnf(t132,plain,
p5(c7,c10,c8),
inference(extension,[status(thm),parent(t128:3)],[p5_5]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t128:3]) ).
cnf(t134,plain,
( ~ p4(c7,c7)
| ~ p6(c7,f3(c9))
| ~ p2(f3(c9),f3(c9))
| p6(c7,f3(c9)) ),
inference(extension,[status(thm),parent(t120:4)],[p6_12]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t120:4]) ).
cnf(t136,plain,
p2(f3(c9),f3(c9)),
inference(extension,[status(thm),parent(t134:2)],[p2_1]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t134:2]) ).
cnf(t138,plain,
p6(c7,f3(c9)),
inference(extension,[status(thm),parent(t134:3)],[p6_3]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t134:3]) ).
cnf(t140,plain,
p4(c7,c7),
inference(lemma_extension,[status(thm),parent(t134:4)],[l53:1]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t134:4]) ).
cnf(t142,plain,
( ~ p4(c7,c7)
| ~ p6(c7,f3(c8))
| ~ p2(f3(c8),f3(c8))
| p6(c7,f3(c8)) ),
inference(extension,[status(thm),parent(t120:5)],[p6_12]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t120:5]) ).
cnf(t144,plain,
p2(f3(c8),f3(c8)),
inference(extension,[status(thm),parent(t142:2)],[p2_1]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t142:2]) ).
cnf(t146,plain,
p6(c7,f3(c8)),
inference(extension,[status(thm),parent(t142:3)],[p6_3]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t142:3]) ).
cnf(t148,plain,
p4(c7,c7),
inference(lemma_extension,[status(thm),parent(t142:4)],[l53:1]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t142:4]) ).
cnf(t150,plain,
p2(c9,c9),
inference(extension,[status(thm),parent(t82:5)],[p2_1]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t82:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN558-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.59 % Computer : n019.cluster.edu
% 0.11/0.59 % Model : x86_64 x86_64
% 0.11/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.59 % Memory : 8046.5625MB
% 0.11/0.59 % OS : Linux 6.8.0-71-generic
% 0.11/0.59 % CPULimit : 300
% 0.11/0.59 % WCLimit : 300
% 0.11/0.59 % DateTime : Sun Sep 20 07:04:39 UTC 2026
% 0.11/0.59 % CPUTime :
% 3.73/4.29 % SZS status Unsatisfiable for theBenchmark
% 3.73/4.29 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------