%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN582-1 : 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 : n016.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 09:10:38 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.62s
% Output : Proof 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of clauses : 107 ( 76 unt; 2 nHn; 104 RR)
% Number of literals : 170 ( 0 equ; 63 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_1,negated_conjecture,
p7(X34,X34),
file('theBenchmark.p',p7_1) ).
cnf(p2_2,negated_conjecture,
p2(X18,X18),
file('theBenchmark.p',p2_2) ).
cnf(p5_3,negated_conjecture,
p5(X31,X31),
file('theBenchmark.p',p5_3) ).
cnf(p12_4,negated_conjecture,
p12(c18,c14),
file('theBenchmark.p',p12_4) ).
cnf(p2_5,negated_conjecture,
p2(c13,c18),
file('theBenchmark.p',p2_5) ).
cnf(p2_6,negated_conjecture,
p2(f3(c18),f8(f9(c17))),
file('theBenchmark.p',p2_6) ).
cnf(p11_7,negated_conjecture,
p11(f4(f6(c15,c13)),c16),
file('theBenchmark.p',p11_7) ).
cnf(not_p11_9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('theBenchmark.p',not_p11_9) ).
cnf(p11_11,negated_conjecture,
( ~ p2(X11,X12)
| p11(X11,X12) ),
file('theBenchmark.p',p11_11) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X23,X24)
| p2(f4(X23),f4(X24)) ),
file('theBenchmark.p',p2_14) ).
cnf(p2_15,negated_conjecture,
( ~ p7(X29,X30)
| p2(f8(X29),f8(X30)) ),
file('theBenchmark.p',p2_15) ).
cnf(p12_16,negated_conjecture,
( ~ p11(X11,X12)
| p2(X11,X12)
| p12(X11,X12) ),
file('theBenchmark.p',p12_16) ).
cnf(p7_17,negated_conjecture,
( ~ p7(X34,X36)
| ~ p7(X34,X35)
| p7(X35,X36) ),
file('theBenchmark.p',p7_17) ).
cnf(p2_18,negated_conjecture,
( ~ p2(X18,X20)
| ~ p2(X18,X19)
| p2(X19,X20) ),
file('theBenchmark.p',p2_18) ).
cnf(p11_21,negated_conjecture,
( ~ p11(X9,X10)
| ~ p2(X10,X8)
| ~ p2(X9,X7)
| p11(X7,X8) ),
file('theBenchmark.p',p11_21) ).
cnf(p12_22,negated_conjecture,
( ~ p12(X16,X17)
| ~ p2(X17,X15)
| ~ p2(X16,X14)
| p12(X14,X15) ),
file('theBenchmark.p',p12_22) ).
cnf(p2_23,negated_conjecture,
( ~ p5(X25,X27)
| ~ p2(X26,X28)
| p2(f6(X25,X26),f6(X27,X28)) ),
file('theBenchmark.p',p2_23) ).
cnf(p11_25,negated_conjecture,
( ~ p2(f3(X13),f8(f9(c17)))
| ~ p12(c13,X13)
| ~ p12(X13,c14)
| p11(f4(f6(c15,X13)),c16) ),
file('theBenchmark.p',p11_25) ).
cnf(t1,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(start,[status(thm),parent(0:0)],[not_p11_9]) ).
cnf(t2,plain,
( ~ p12(c18,c14)
| ~ p12(c13,c18)
| ~ p2(f3(c18),f8(f9(c17)))
| p11(f4(f6(c15,c18)),c16) ),
inference(extension,[status(thm),parent(t1:1)],[p11_25]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f8(f9(c17)),f3(c18))
| ~ p2(f8(f9(c17)),f8(f9(c17)))
| p2(f3(c18),f8(f9(c17))) ),
inference(extension,[status(thm),parent(t2:2)],[p2_18]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(f8(f9(c17)),f8(f9(c17)))
| ~ p2(f8(f9(c17)),f8(f9(c17)))
| p2(f8(f9(c17)),f8(f9(c17))) ),
inference(extension,[status(thm),parent(t4:2)],[p2_18]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p2(f8(f9(c17)),f8(f9(c17)))
| ~ p2(f8(f9(c17)),f8(f9(c17)))
| p2(f8(f9(c17)),f8(f9(c17))) ),
inference(extension,[status(thm),parent(t6:2)],[p2_18]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p2(f3(c18),f8(f9(c17)))
| ~ p2(f3(c18),f8(f9(c17)))
| p2(f8(f9(c17)),f8(f9(c17))) ),
inference(extension,[status(thm),parent(t8:2)],[p2_18]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p2(f3(c18),f8(f9(c17))),
inference(extension,[status(thm),parent(t10:2)],[p2_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p2(f3(c18),f8(f9(c17))),
inference(extension,[status(thm),parent(t10:3)],[p2_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
( ~ p7(f9(c17),f9(c17))
| p2(f8(f9(c17)),f8(f9(c17))) ),
inference(extension,[status(thm),parent(t8:3)],[p2_15]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).
cnf(t18,plain,
p7(f9(c17),f9(c17)),
inference(extension,[status(thm),parent(t16:2)],[p7_1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ p7(f9(c17),f9(c17))
| p2(f8(f9(c17)),f8(f9(c17))) ),
inference(extension,[status(thm),parent(t6:3)],[p2_15]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:3]) ).
cnf(t22,plain,
( ~ p7(f9(c17),f9(c17))
| ~ p7(f9(c17),f9(c17))
| p7(f9(c17),f9(c17)) ),
inference(extension,[status(thm),parent(t20:2)],[p7_17]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p7(f9(c17),f9(c17)),
inference(extension,[status(thm),parent(t22:2)],[p7_1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p7(f9(c17),f9(c17)),
inference(extension,[status(thm),parent(t22:3)],[p7_1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(l3,lemma,
p2(f8(f9(c17)),f8(f9(c17))),
inference(lemma,[status(cth),parent(t4:2),below(t2:2)],[t4:2]) ).
cnf(t28,plain,
( ~ p2(f8(f9(c17)),f8(f9(c17)))
| ~ p2(f8(f9(c17)),f3(c18))
| p2(f8(f9(c17)),f3(c18)) ),
inference(extension,[status(thm),parent(t4:3)],[p2_18]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t4:3]) ).
cnf(t30,plain,
( ~ p2(f8(f9(c17)),f8(f9(c17)))
| ~ p2(f8(f9(c17)),f3(c18))
| p2(f8(f9(c17)),f3(c18)) ),
inference(extension,[status(thm),parent(t28:2)],[p2_18]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ p2(f3(c18),f8(f9(c17)))
| ~ p2(f3(c18),f3(c18))
| p2(f8(f9(c17)),f3(c18)) ),
inference(extension,[status(thm),parent(t30:2)],[p2_18]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
p2(f3(c18),f3(c18)),
inference(extension,[status(thm),parent(t32:2)],[p2_2]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p2(f3(c18),f8(f9(c17))),
inference(extension,[status(thm),parent(t32:3)],[p2_6]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
( ~ p7(f9(c17),f9(c17))
| p2(f8(f9(c17)),f8(f9(c17))) ),
inference(extension,[status(thm),parent(t30:3)],[p2_15]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t30:3]) ).
cnf(t40,plain,
p7(f9(c17),f9(c17)),
inference(extension,[status(thm),parent(t38:2)],[p7_1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
p2(f8(f9(c17)),f8(f9(c17))),
inference(lemma_extension,[status(thm),parent(t28:3)],[l3:1]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t28:3]) ).
cnf(t44,plain,
( p2(c13,c18)
| ~ p11(c13,c18)
| p12(c13,c18) ),
inference(extension,[status(thm),parent(t2:3)],[p12_16]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t2:3]) ).
cnf(t46,plain,
( ~ p2(c13,c18)
| p11(c13,c18) ),
inference(extension,[status(thm),parent(t44:2)],[p11_11]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
p2(c13,c18),
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,
( ~ p5(c15,c15)
| p2(f6(c15,c13),f6(c15,c18))
| ~ p2(c13,c18) ),
inference(extension,[status(thm),parent(t44:3)],[p2_23]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t44:3]) ).
cnf(t52,plain,
( p2(f4(f6(c15,c13)),f4(f6(c15,c18)))
| ~ p2(f6(c15,c13),f6(c15,c18)) ),
inference(extension,[status(thm),parent(t50:2)],[p2_14]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( ~ p11(f4(f6(c15,c13)),c16)
| ~ p2(c16,c16)
| p11(f4(f6(c15,c18)),c16)
| ~ p2(f4(f6(c15,c13)),f4(f6(c15,c18))) ),
inference(extension,[status(thm),parent(t52:2)],[p11_21]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
$false,
inference(reduction,[status(thm),parent(t54:2)],[t54:2,t1:1]) ).
cnf(t57,plain,
p2(c16,c16),
inference(extension,[status(thm),parent(t54:3)],[p2_2]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t54:3]) ).
cnf(t59,plain,
p11(f4(f6(c15,c13)),c16),
inference(extension,[status(thm),parent(t54:4)],[p11_7]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t54:4]) ).
cnf(t61,plain,
p5(c15,c15),
inference(extension,[status(thm),parent(t50:3)],[p5_3]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t50:3]) ).
cnf(t63,plain,
( ~ p2(c18,c18)
| ~ p2(c14,c14)
| ~ p12(c18,c14)
| p12(c18,c14) ),
inference(extension,[status(thm),parent(t2:4)],[p12_22]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t2:4]) ).
cnf(t65,plain,
( ~ p2(c18,c18)
| ~ p2(c14,c14)
| ~ p12(c18,c14)
| p12(c18,c14) ),
inference(extension,[status(thm),parent(t63:2)],[p12_22]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t63:2]) ).
cnf(t67,plain,
( ~ p2(c18,c18)
| ~ p2(c14,c14)
| ~ p12(c18,c14)
| p12(c18,c14) ),
inference(extension,[status(thm),parent(t65:2)],[p12_22]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t65:2]) ).
cnf(t69,plain,
( ~ p2(c18,c18)
| ~ p2(c14,c14)
| ~ p12(c18,c14)
| p12(c18,c14) ),
inference(extension,[status(thm),parent(t67:2)],[p12_22]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t67:2]) ).
cnf(t71,plain,
p12(c18,c14),
inference(extension,[status(thm),parent(t69:2)],[p12_4]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t69:2]) ).
cnf(t73,plain,
p2(c14,c14),
inference(extension,[status(thm),parent(t69:3)],[p2_2]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t69:3]) ).
cnf(t75,plain,
p2(c18,c18),
inference(extension,[status(thm),parent(t69:4)],[p2_2]) ).
cnf(t76,plain,
$false,
inference(connection,[status(thm),parent(t75:1)],[t75:1,t69:4]) ).
cnf(t77,plain,
p2(c14,c14),
inference(extension,[status(thm),parent(t67:3)],[p2_2]) ).
cnf(t78,plain,
$false,
inference(connection,[status(thm),parent(t77:1)],[t77:1,t67:3]) ).
cnf(t79,plain,
p2(c18,c18),
inference(extension,[status(thm),parent(t67:4)],[p2_2]) ).
cnf(t80,plain,
$false,
inference(connection,[status(thm),parent(t79:1)],[t79:1,t67:4]) ).
cnf(t81,plain,
p2(c14,c14),
inference(extension,[status(thm),parent(t65:3)],[p2_2]) ).
cnf(t82,plain,
$false,
inference(connection,[status(thm),parent(t81:1)],[t81:1,t65:3]) ).
cnf(t83,plain,
p2(c18,c18),
inference(extension,[status(thm),parent(t65:4)],[p2_2]) ).
cnf(t84,plain,
$false,
inference(connection,[status(thm),parent(t83:1)],[t83:1,t65:4]) ).
cnf(t85,plain,
p2(c14,c14),
inference(extension,[status(thm),parent(t63:3)],[p2_2]) ).
cnf(t86,plain,
$false,
inference(connection,[status(thm),parent(t85:1)],[t85:1,t63:3]) ).
cnf(t87,plain,
p2(c18,c18),
inference(extension,[status(thm),parent(t63:4)],[p2_2]) ).
cnf(t88,plain,
$false,
inference(connection,[status(thm),parent(t87:1)],[t87:1,t63:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN582-1 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 07:10:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.31/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.62 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------