%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN603-1 : 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 : n012.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 09:10:41 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : Proof 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of clauses : 114 ( 83 unt; 0 nHn; 113 RR)
% Number of literals : 179 ( 0 equ; 67 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
p2(X18,X18),
file('theBenchmark.p',p2_2) ).
cnf(p15_3,negated_conjecture,
p15(c22,c21),
file('theBenchmark.p',p15_3) ).
cnf(p2_5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('theBenchmark.p',p2_5) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(c16)),c17),
file('theBenchmark.p',p2_6) ).
cnf(p2_9,negated_conjecture,
( ~ p2(X35,X36)
| p2(f5(X35),f5(X36)) ),
file('theBenchmark.p',p2_9) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X18,X20)
| ~ p2(X18,X19)
| p2(X19,X20) ),
file('theBenchmark.p',p2_14) ).
cnf(p15_18,negated_conjecture,
( ~ p15(X15,X16)
| ~ p2(X16,X14)
| ~ p2(X15,X13)
| p15(X13,X14) ),
file('theBenchmark.p',p15_18) ).
cnf(p2_19,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
file('theBenchmark.p',p2_19) ).
cnf(p2_20,negated_conjecture,
( ~ p2(X50,X52)
| ~ p2(X49,X51)
| p2(f9(X49,X50),f9(X51,X52)) ),
file('theBenchmark.p',p2_20) ).
cnf(p2_21,negated_conjecture,
( ~ p2(X38,X40)
| ~ p2(X37,X39)
| p2(f6(X37,X38),f6(X39,X40)) ),
file('theBenchmark.p',p2_21) ).
cnf(p2_22,negated_conjecture,
( ~ p2(X42,X44)
| ~ p2(X41,X43)
| p2(f7(X41,X42),f7(X43,X44)) ),
file('theBenchmark.p',p2_22) ).
cnf(p2_23,negated_conjecture,
( ~ p2(X46,X48)
| ~ p2(X45,X47)
| p2(f8(X45,X46),f8(X47,X48)) ),
file('theBenchmark.p',p2_23) ).
cnf(not_p15_26,negated_conjecture,
( ~ p2(f7(f8(c21,X53),c20),f6(f5(f4(c16)),c17))
| ~ p2(X53,f9(c20,X54))
| ~ p15(X53,c21) ),
file('theBenchmark.p',not_p15_26) ).
cnf(t1,plain,
( ~ p2(f9(c20,c23),f9(c20,c23))
| ~ p2(f7(f8(c21,f9(c20,c23)),c20),f6(f5(f4(c16)),c17))
| ~ p15(f9(c20,c23),c21) ),
inference(start,[status(thm),parent(0:0)],[not_p15_26]) ).
cnf(t2,plain,
( ~ p2(f9(c20,c23),f9(c20,c23))
| ~ p2(c21,c21)
| ~ p15(f9(c20,c23),c21)
| p15(f9(c20,c23),c21) ),
inference(extension,[status(thm),parent(t1:1)],[p15_18]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f9(c20,c23),f9(c20,c23))
| ~ p2(c21,c21)
| ~ p15(f9(c20,c23),c21)
| p15(f9(c20,c23),c21) ),
inference(extension,[status(thm),parent(t2:2)],[p15_18]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(f9(c20,c23),f9(c20,c23))
| ~ p2(c21,c21)
| ~ p15(f9(c20,c23),c21)
| p15(f9(c20,c23),c21) ),
inference(extension,[status(thm),parent(t4:2)],[p15_18]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p2(c22,f9(c20,c23))
| ~ p2(c21,c21)
| ~ p15(c22,c21)
| p15(f9(c20,c23),c21) ),
inference(extension,[status(thm),parent(t6:2)],[p15_18]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p15(c22,c21),
inference(extension,[status(thm),parent(t8:2)],[p15_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t8:3)],[p2_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
p2(c22,f9(c20,c23)),
inference(extension,[status(thm),parent(t8:4)],[p2_5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).
cnf(t16,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t6:3)],[p2_2]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:3]) ).
cnf(t18,plain,
( ~ p2(c20,c20)
| ~ p2(c23,c23)
| p2(f9(c20,c23),f9(c20,c23)) ),
inference(extension,[status(thm),parent(t6:4)],[p2_20]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t6:4]) ).
cnf(t20,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t18:2)],[p2_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p2(c20,c20),
inference(extension,[status(thm),parent(t18:3)],[p2_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t4:3)],[p2_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t4:3]) ).
cnf(t26,plain,
( ~ p2(c20,c20)
| ~ p2(c23,c23)
| p2(f9(c20,c23),f9(c20,c23)) ),
inference(extension,[status(thm),parent(t4:4)],[p2_20]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t4:4]) ).
cnf(t28,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t26:2)],[p2_2]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
p2(c20,c20),
inference(extension,[status(thm),parent(t26:3)],[p2_2]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t2:3)],[p2_2]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t2:3]) ).
cnf(t34,plain,
( ~ p2(c20,c20)
| ~ p2(c23,c23)
| p2(f9(c20,c23),f9(c20,c23)) ),
inference(extension,[status(thm),parent(t2:4)],[p2_20]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t2:4]) ).
cnf(t36,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t34:2)],[p2_2]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p2(c20,c20),
inference(extension,[status(thm),parent(t34:3)],[p2_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
( ~ p2(f6(f5(f4(c16)),c17),f7(f8(c21,f9(c20,c23)),c20))
| ~ p2(f6(f5(f4(c16)),c17),f6(f5(f4(c16)),c17))
| p2(f7(f8(c21,f9(c20,c23)),c20),f6(f5(f4(c16)),c17)) ),
inference(extension,[status(thm),parent(t1:2)],[p2_14]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t1:2]) ).
cnf(t42,plain,
( ~ p2(f5(f4(c16)),f5(f4(c16)))
| ~ p2(c17,c17)
| p2(f6(f5(f4(c16)),c17),f6(f5(f4(c16)),c17)) ),
inference(extension,[status(thm),parent(t40:2)],[p2_21]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
( ~ p2(c17,c17)
| ~ p2(c17,c17)
| p2(c17,c17) ),
inference(extension,[status(thm),parent(t42:2)],[p2_14]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ p2(f3(f4(c16)),c17)
| ~ p2(f3(f4(c16)),c17)
| p2(c17,c17) ),
inference(extension,[status(thm),parent(t44:2)],[p2_14]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
p2(f3(f4(c16)),c17),
inference(extension,[status(thm),parent(t46:2)],[p2_6]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
p2(f3(f4(c16)),c17),
inference(extension,[status(thm),parent(t46:3)],[p2_6]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t46:3]) ).
cnf(t52,plain,
p2(c17,c17),
inference(extension,[status(thm),parent(t44:3)],[p2_2]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t44:3]) ).
cnf(t54,plain,
( ~ p2(f5(f4(c16)),f5(f4(c16)))
| ~ p2(f5(f4(c16)),f5(f4(c16)))
| p2(f5(f4(c16)),f5(f4(c16))) ),
inference(extension,[status(thm),parent(t42:3)],[p2_14]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t42:3]) ).
cnf(t56,plain,
( ~ p2(f5(f4(c16)),f5(f4(c16)))
| ~ p2(f5(f4(c16)),f5(f4(c16)))
| p2(f5(f4(c16)),f5(f4(c16))) ),
inference(extension,[status(thm),parent(t54:2)],[p2_14]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
p2(f5(f4(c16)),f5(f4(c16))),
inference(extension,[status(thm),parent(t56:2)],[p2_2]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
p2(f5(f4(c16)),f5(f4(c16))),
inference(extension,[status(thm),parent(t56:3)],[p2_2]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t56:3]) ).
cnf(t62,plain,
( ~ p2(f4(c16),f4(c16))
| p2(f5(f4(c16)),f5(f4(c16))) ),
inference(extension,[status(thm),parent(t54:3)],[p2_9]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t54:3]) ).
cnf(t64,plain,
p2(f4(c16),f4(c16)),
inference(extension,[status(thm),parent(t62:2)],[p2_2]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
( ~ p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),c17))
| ~ p2(f7(f8(c21,c22),c20),f7(f8(c21,f9(c20,c23)),c20))
| p2(f6(f5(f4(c16)),c17),f7(f8(c21,f9(c20,c23)),c20)) ),
inference(extension,[status(thm),parent(t40:3)],[p2_14]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t40:3]) ).
cnf(t68,plain,
( ~ p2(f8(c21,c22),f8(c21,f9(c20,c23)))
| ~ p2(c20,c20)
| p2(f7(f8(c21,c22),c20),f7(f8(c21,f9(c20,c23)),c20)) ),
inference(extension,[status(thm),parent(t66:2)],[p2_22]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
( ~ p2(c20,c20)
| ~ p2(c20,c20)
| p2(c20,c20) ),
inference(extension,[status(thm),parent(t68:2)],[p2_14]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
p2(c20,c20),
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(c20,c20),
inference(extension,[status(thm),parent(t70:3)],[p2_2]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
( ~ p2(c21,c21)
| ~ p2(c22,f9(c20,c23))
| p2(f8(c21,c22),f8(c21,f9(c20,c23))) ),
inference(extension,[status(thm),parent(t68:3)],[p2_23]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t68:3]) ).
cnf(t78,plain,
p2(c22,f9(c20,c23)),
inference(extension,[status(thm),parent(t76:2)],[p2_5]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
p2(c21,c21),
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,
( ~ p2(f6(f5(f4(c16)),f3(f4(c16))),f7(f8(c21,c22),c20))
| ~ p2(f6(f5(f4(c16)),f3(f4(c16))),f6(f5(f4(c16)),c17))
| p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),c17)) ),
inference(extension,[status(thm),parent(t66:3)],[p2_14]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t66:3]) ).
cnf(t84,plain,
( ~ p2(f5(f4(c16)),f5(f4(c16)))
| ~ p2(f3(f4(c16)),c17)
| p2(f6(f5(f4(c16)),f3(f4(c16))),f6(f5(f4(c16)),c17)) ),
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(f3(f4(c16)),c17),
inference(extension,[status(thm),parent(t84:2)],[p2_6]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
p2(f5(f4(c16)),f5(f4(c16))),
inference(extension,[status(thm),parent(t84:3)],[p2_2]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t84:3]) ).
cnf(t90,plain,
( ~ p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16))))
| ~ p2(f7(f8(c21,c22),c20),f7(f8(c21,c22),c20))
| p2(f6(f5(f4(c16)),f3(f4(c16))),f7(f8(c21,c22),c20)) ),
inference(extension,[status(thm),parent(t82:3)],[p2_14]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t82:3]) ).
cnf(t92,plain,
p2(f7(f8(c21,c22),c20),f7(f8(c21,c22),c20)),
inference(extension,[status(thm),parent(t90:2)],[p2_2]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
inference(extension,[status(thm),parent(t90:3)],[p2_19]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t90:3]) ).
cnf(t96,plain,
( ~ p2(c20,c20)
| ~ p2(c23,c23)
| p2(f9(c20,c23),f9(c20,c23)) ),
inference(extension,[status(thm),parent(t1:3)],[p2_20]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t1:3]) ).
cnf(t98,plain,
p2(c23,c23),
inference(extension,[status(thm),parent(t96:2)],[p2_2]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
p2(c20,c20),
inference(extension,[status(thm),parent(t96:3)],[p2_2]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t96:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.01 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 07:05:38 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.36 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------