%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN566-1 : 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 09:10:36 AM UTC 2026
% Result : Unsatisfiable 1.66s 1.93s
% Output : Proof 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of clauses : 116 ( 83 unt; 0 nHn; 112 RR)
% Number of literals : 182 ( 0 equ; 68 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p9_1,negated_conjecture,
p9(X25,X25),
file('theBenchmark.p',p9_1) ).
cnf(p2_2,negated_conjecture,
p2(X4,X4),
file('theBenchmark.p',p2_2) ).
cnf(p3_3,negated_conjecture,
p3(X11,X11),
file('theBenchmark.p',p3_3) ).
cnf(p7_4,negated_conjecture,
p7(X16,X16),
file('theBenchmark.p',p7_4) ).
cnf(p10_5,negated_conjecture,
p10(c15,c11),
file('theBenchmark.p',p10_5) ).
cnf(p8_6,negated_conjecture,
p8(c12,c13),
file('theBenchmark.p',p8_6) ).
cnf(p2_7,negated_conjecture,
p2(c14,f6(c15)),
file('theBenchmark.p',p2_7) ).
cnf(p3_8,negated_conjecture,
p3(c13,f4(c14)),
file('theBenchmark.p',p3_8) ).
cnf(p3_9,negated_conjecture,
( ~ p2(X14,X15)
| p3(f4(X14),f4(X15)) ),
file('theBenchmark.p',p3_9) ).
cnf(p2_10,negated_conjecture,
( ~ p2(X7,X8)
| p2(f5(X7),f5(X8)) ),
file('theBenchmark.p',p2_10) ).
cnf(p9_12,negated_conjecture,
( ~ p9(X25,X27)
| ~ p9(X25,X26)
| p9(X26,X27) ),
file('theBenchmark.p',p9_12) ).
cnf(p2_13,negated_conjecture,
( ~ p2(X4,X6)
| ~ p2(X4,X5)
| p2(X5,X6) ),
file('theBenchmark.p',p2_13) ).
cnf(p3_14,negated_conjecture,
( ~ p3(X11,X13)
| ~ p3(X11,X12)
| p3(X12,X13) ),
file('theBenchmark.p',p3_14) ).
cnf(p8_16,negated_conjecture,
( ~ p8(X19,f4(f6(X20)))
| p8(X19,f4(f5(X20))) ),
file('theBenchmark.p',p8_16) ).
cnf(p10_17,negated_conjecture,
( ~ p10(X2,X3)
| ~ p9(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
file('theBenchmark.p',p10_17) ).
cnf(p8_18,negated_conjecture,
( ~ p3(X23,X22)
| ~ p8(X24,X23)
| ~ p7(X24,X21)
| p8(X21,X22) ),
file('theBenchmark.p',p8_18) ).
cnf(not_p10_19,negated_conjecture,
( ~ p2(X29,f5(X28))
| ~ p3(X30,f4(X29))
| ~ p8(c12,X30)
| ~ p10(X28,c11) ),
file('theBenchmark.p',not_p10_19) ).
cnf(t1,plain,
( ~ p8(c12,f4(f5(c15)))
| ~ p3(f4(f5(c15)),f4(f5(c15)))
| ~ p2(f5(c15),f5(c15))
| ~ p10(c15,c11) ),
inference(start,[status(thm),parent(0:0)],[not_p10_19]) ).
cnf(t2,plain,
( ~ p2(c15,c15)
| ~ p9(c11,c11)
| ~ p10(c15,c11)
| p10(c15,c11) ),
inference(extension,[status(thm),parent(t1:1)],[p10_17]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(c15,c15)
| ~ p9(c11,c11)
| ~ p10(c15,c11)
| p10(c15,c11) ),
inference(extension,[status(thm),parent(t2:2)],[p10_17]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(c15,c15)
| ~ p9(c11,c11)
| ~ p10(c15,c11)
| p10(c15,c11) ),
inference(extension,[status(thm),parent(t4:2)],[p10_17]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p10(c15,c11),
inference(extension,[status(thm),parent(t6:2)],[p10_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p9(c11,c11),
inference(extension,[status(thm),parent(t6:3)],[p9_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t6:4)],[p2_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
( ~ p9(c11,c11)
| ~ p9(c11,c11)
| p9(c11,c11) ),
inference(extension,[status(thm),parent(t4:3)],[p9_12]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t4:3]) ).
cnf(t16,plain,
p9(c11,c11),
inference(extension,[status(thm),parent(t14:2)],[p9_1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
p9(c11,c11),
inference(extension,[status(thm),parent(t14:3)],[p9_1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
( ~ p2(c15,c15)
| ~ p2(c15,c15)
| p2(c15,c15) ),
inference(extension,[status(thm),parent(t4:4)],[p2_13]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t4:4]) ).
cnf(t22,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t20:2)],[p2_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t20:3)],[p2_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
p9(c11,c11),
inference(extension,[status(thm),parent(t2:3)],[p9_1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:3]) ).
cnf(t28,plain,
( ~ p2(c15,c15)
| ~ p2(c15,c15)
| p2(c15,c15) ),
inference(extension,[status(thm),parent(t2:4)],[p2_13]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:4]) ).
cnf(t30,plain,
( ~ p2(c15,c15)
| ~ p2(c15,c15)
| p2(c15,c15) ),
inference(extension,[status(thm),parent(t28:2)],[p2_13]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t30:2)],[p2_2]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t30:3)],[p2_2]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t28:3)],[p2_2]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t28:3]) ).
cnf(t38,plain,
( ~ p2(f5(c15),f5(c15))
| ~ p2(f5(c15),f5(c15))
| p2(f5(c15),f5(c15)) ),
inference(extension,[status(thm),parent(t1:2)],[p2_13]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t1:2]) ).
cnf(t40,plain,
( ~ p2(f5(c15),f5(c15))
| ~ p2(f5(c15),f5(c15))
| p2(f5(c15),f5(c15)) ),
inference(extension,[status(thm),parent(t38:2)],[p2_13]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ p2(f5(c15),f5(c15))
| ~ p2(f5(c15),f5(c15))
| p2(f5(c15),f5(c15)) ),
inference(extension,[status(thm),parent(t40:2)],[p2_13]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
p2(f5(c15),f5(c15)),
inference(extension,[status(thm),parent(t42:2)],[p2_2]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
p2(f5(c15),f5(c15)),
inference(extension,[status(thm),parent(t42:3)],[p2_2]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
( ~ p2(c15,c15)
| p2(f5(c15),f5(c15)) ),
inference(extension,[status(thm),parent(t40:3)],[p2_10]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t40:3]) ).
cnf(t50,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t48:2)],[p2_2]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ p2(c15,c15)
| p2(f5(c15),f5(c15)) ),
inference(extension,[status(thm),parent(t38:3)],[p2_10]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t38:3]) ).
cnf(t54,plain,
( ~ p2(c15,c15)
| ~ p2(c15,c15)
| p2(c15,c15) ),
inference(extension,[status(thm),parent(t52:2)],[p2_13]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t54:2)],[p2_2]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
p2(c15,c15),
inference(extension,[status(thm),parent(t54:3)],[p2_2]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
cnf(t60,plain,
( ~ p3(f4(f5(c15)),f4(f5(c15)))
| ~ p3(f4(f5(c15)),f4(f5(c15)))
| p3(f4(f5(c15)),f4(f5(c15))) ),
inference(extension,[status(thm),parent(t1:3)],[p3_14]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t1:3]) ).
cnf(t62,plain,
( ~ p3(f4(f5(c15)),f4(f5(c15)))
| ~ p3(f4(f5(c15)),f4(f5(c15)))
| p3(f4(f5(c15)),f4(f5(c15))) ),
inference(extension,[status(thm),parent(t60:2)],[p3_14]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
( ~ p3(f4(f5(c15)),f4(f5(c15)))
| ~ p3(f4(f5(c15)),f4(f5(c15)))
| p3(f4(f5(c15)),f4(f5(c15))) ),
inference(extension,[status(thm),parent(t62:2)],[p3_14]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
p3(f4(f5(c15)),f4(f5(c15))),
inference(extension,[status(thm),parent(t64:2)],[p3_3]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
p3(f4(f5(c15)),f4(f5(c15))),
inference(extension,[status(thm),parent(t64:3)],[p3_3]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t64:3]) ).
cnf(t70,plain,
( ~ p2(f5(c15),f5(c15))
| p3(f4(f5(c15)),f4(f5(c15))) ),
inference(extension,[status(thm),parent(t62:3)],[p3_9]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t62:3]) ).
cnf(t72,plain,
p2(f5(c15),f5(c15)),
inference(extension,[status(thm),parent(t70:2)],[p2_2]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
( ~ p2(f5(c15),f5(c15))
| p3(f4(f5(c15)),f4(f5(c15))) ),
inference(extension,[status(thm),parent(t60:3)],[p3_9]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t60:3]) ).
cnf(t76,plain,
( ~ p2(f5(c15),f5(c15))
| ~ p2(f5(c15),f5(c15))
| p2(f5(c15),f5(c15)) ),
inference(extension,[status(thm),parent(t74:2)],[p2_13]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
p2(f5(c15),f5(c15)),
inference(extension,[status(thm),parent(t76:2)],[p2_2]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
p2(f5(c15),f5(c15)),
inference(extension,[status(thm),parent(t76:3)],[p2_2]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t76:3]) ).
cnf(t82,plain,
( ~ p8(c12,f4(f6(c15)))
| p8(c12,f4(f5(c15))) ),
inference(extension,[status(thm),parent(t1:4)],[p8_16]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t1:4]) ).
cnf(t84,plain,
( ~ p7(c12,c12)
| ~ p8(c12,f4(c14))
| ~ p3(f4(c14),f4(f6(c15)))
| p8(c12,f4(f6(c15))) ),
inference(extension,[status(thm),parent(t82:2)],[p8_18]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
( ~ p2(c14,f6(c15))
| p3(f4(c14),f4(f6(c15))) ),
inference(extension,[status(thm),parent(t84:2)],[p3_9]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
p2(c14,f6(c15)),
inference(extension,[status(thm),parent(t86:2)],[p2_7]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
( ~ p7(c12,c12)
| ~ p8(c12,c13)
| ~ p3(c13,f4(c14))
| p8(c12,f4(c14)) ),
inference(extension,[status(thm),parent(t84:3)],[p8_18]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t84:3]) ).
cnf(t92,plain,
p3(c13,f4(c14)),
inference(extension,[status(thm),parent(t90:2)],[p3_8]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
p8(c12,c13),
inference(extension,[status(thm),parent(t90:3)],[p8_6]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t90:3]) ).
cnf(t96,plain,
p7(c12,c12),
inference(extension,[status(thm),parent(t90:4)],[p7_4]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t90:4]) ).
cnf(t98,plain,
p7(c12,c12),
inference(extension,[status(thm),parent(t84:4)],[p7_4]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t84:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN566-1 : 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
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 07:06:29 UTC 2026
% 0.07/0.35 % CPUTime :
% 1.66/1.93 % SZS status Unsatisfiable for theBenchmark
% 1.66/1.93 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------