%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN577-1 : 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 : n005.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 09:10:37 AM UTC 2026
% Result : Unsatisfiable 0.67s 0.91s
% Output : Proof 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 80 ( 63 unt; 0 nHn; 79 RR)
% Number of literals : 121 ( 0 equ; 43 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0),
file('theBenchmark.p',p2_1) ).
cnf(p7_5,negated_conjecture,
p7(c9,c10),
file('theBenchmark.p',p7_5) ).
cnf(p2_7,negated_conjecture,
p2(f3(c12,c11),c15),
file('theBenchmark.p',p2_7) ).
cnf(p2_8,negated_conjecture,
p2(f4(c16,c14),c18),
file('theBenchmark.p',p2_8) ).
cnf(p2_9,negated_conjecture,
p2(f4(c15,c14),c17),
file('theBenchmark.p',p2_9) ).
cnf(p2_10,negated_conjecture,
p2(f3(c12,c13),c16),
file('theBenchmark.p',p2_10) ).
cnf(p2_11,negated_conjecture,
p2(f5(f6(c9),c19),c17),
file('theBenchmark.p',p2_11) ).
cnf(p2_12,negated_conjecture,
p2(f5(f6(c9),c20),c18),
file('theBenchmark.p',p2_12) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
file('theBenchmark.p',p2_14) ).
cnf(p7_16,negated_conjecture,
( ~ p2(X26,X24)
| ~ p7(X26,X27)
| ~ p2(X27,X25)
| p7(X24,X25) ),
file('theBenchmark.p',p7_16) ).
cnf(not_p7_20,negated_conjecture,
( ~ p2(f4(X33,c14),f5(f6(X34),c20))
| ~ p2(f4(X32,c14),f5(f6(X34),c19))
| ~ p2(c16,X33)
| ~ p2(c15,X32)
| ~ p7(X34,c10) ),
file('theBenchmark.p',not_p7_20) ).
cnf(t1,plain,
( ~ p2(c15,c15)
| ~ p2(c16,c16)
| ~ p2(f4(c15,c14),f5(f6(c9),c19))
| ~ p2(f4(c16,c14),f5(f6(c9),c20))
| ~ p7(c9,c10) ),
inference(start,[status(thm),parent(0:0)],[not_p7_20]) ).
cnf(t2,plain,
( ~ p2(c10,c10)
| ~ p7(c9,c10)
| ~ p2(c9,c9)
| p7(c9,c10) ),
inference(extension,[status(thm),parent(t1:1)],[p7_16]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(c9,c9)
| ~ p2(c9,c9)
| p2(c9,c9) ),
inference(extension,[status(thm),parent(t2:2)],[p2_14]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
p2(c9,c9),
inference(extension,[status(thm),parent(t4:2)],[p2_1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p2(c9,c9),
inference(extension,[status(thm),parent(t4:3)],[p2_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ p2(c10,c10)
| ~ p7(c9,c10)
| ~ p2(c9,c9)
| p7(c9,c10) ),
inference(extension,[status(thm),parent(t2:3)],[p7_16]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
p2(c9,c9),
inference(extension,[status(thm),parent(t10:2)],[p2_1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p7(c9,c10),
inference(extension,[status(thm),parent(t10:3)],[p7_5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
p2(c10,c10),
inference(extension,[status(thm),parent(t10:4)],[p2_1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:4]) ).
cnf(t18,plain,
p2(c10,c10),
inference(extension,[status(thm),parent(t2:4)],[p2_1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:4]) ).
cnf(t20,plain,
( ~ p2(c18,f4(c16,c14))
| ~ p2(c18,f5(f6(c9),c20))
| p2(f4(c16,c14),f5(f6(c9),c20)) ),
inference(extension,[status(thm),parent(t1:2)],[p2_14]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t1:2]) ).
cnf(t22,plain,
( ~ p2(f5(f6(c9),c20),c18)
| ~ p2(f5(f6(c9),c20),f5(f6(c9),c20))
| p2(c18,f5(f6(c9),c20)) ),
inference(extension,[status(thm),parent(t20:2)],[p2_14]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p2(f5(f6(c9),c20),f5(f6(c9),c20)),
inference(extension,[status(thm),parent(t22:2)],[p2_1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p2(f5(f6(c9),c20),c18),
inference(extension,[status(thm),parent(t22:3)],[p2_12]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
( ~ p2(f4(c16,c14),c18)
| ~ p2(f4(c16,c14),f4(c16,c14))
| p2(c18,f4(c16,c14)) ),
inference(extension,[status(thm),parent(t20:3)],[p2_14]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:3]) ).
cnf(t30,plain,
p2(f4(c16,c14),f4(c16,c14)),
inference(extension,[status(thm),parent(t28:2)],[p2_1]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
p2(f4(c16,c14),c18),
inference(extension,[status(thm),parent(t28:3)],[p2_8]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(t34,plain,
( ~ p2(c17,f4(c15,c14))
| ~ p2(c17,f5(f6(c9),c19))
| p2(f4(c15,c14),f5(f6(c9),c19)) ),
inference(extension,[status(thm),parent(t1:3)],[p2_14]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t1:3]) ).
cnf(t36,plain,
( ~ p2(f5(f6(c9),c19),c17)
| ~ p2(f5(f6(c9),c19),f5(f6(c9),c19))
| p2(c17,f5(f6(c9),c19)) ),
inference(extension,[status(thm),parent(t34:2)],[p2_14]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p2(f5(f6(c9),c19),f5(f6(c9),c19)),
inference(extension,[status(thm),parent(t36:2)],[p2_1]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
p2(f5(f6(c9),c19),c17),
inference(extension,[status(thm),parent(t36:3)],[p2_11]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
( ~ p2(f4(c15,c14),c17)
| ~ p2(f4(c15,c14),f4(c15,c14))
| p2(c17,f4(c15,c14)) ),
inference(extension,[status(thm),parent(t34:3)],[p2_14]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t34:3]) ).
cnf(t44,plain,
p2(f4(c15,c14),f4(c15,c14)),
inference(extension,[status(thm),parent(t42:2)],[p2_1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
p2(f4(c15,c14),c17),
inference(extension,[status(thm),parent(t42:3)],[p2_9]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
( ~ p2(f3(c12,c13),c16)
| ~ p2(f3(c12,c13),c16)
| p2(c16,c16) ),
inference(extension,[status(thm),parent(t1:4)],[p2_14]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t1:4]) ).
cnf(t50,plain,
( ~ p2(f3(c12,c13),f3(c12,c13))
| ~ p2(f3(c12,c13),c16)
| p2(f3(c12,c13),c16) ),
inference(extension,[status(thm),parent(t48:2)],[p2_14]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
p2(f3(c12,c13),c16),
inference(extension,[status(thm),parent(t50:2)],[p2_10]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
p2(f3(c12,c13),f3(c12,c13)),
inference(extension,[status(thm),parent(t50:3)],[p2_1]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t50:3]) ).
cnf(l25,lemma,
p2(f3(c12,c13),c16),
inference(lemma,[status(cth),parent(t48:2),below(t1:4)],[t48:2]) ).
cnf(t56,plain,
p2(f3(c12,c13),c16),
inference(lemma_extension,[status(thm),parent(t48:3)],[l25:1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t48:3]) ).
cnf(t58,plain,
( ~ p2(f3(c12,c11),c15)
| ~ p2(f3(c12,c11),c15)
| p2(c15,c15) ),
inference(extension,[status(thm),parent(t1:5)],[p2_14]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t1:5]) ).
cnf(t60,plain,
( ~ p2(f3(c12,c11),f3(c12,c11))
| ~ p2(f3(c12,c11),c15)
| p2(f3(c12,c11),c15) ),
inference(extension,[status(thm),parent(t58:2)],[p2_14]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
p2(f3(c12,c11),c15),
inference(extension,[status(thm),parent(t60:2)],[p2_7]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
p2(f3(c12,c11),f3(c12,c11)),
inference(extension,[status(thm),parent(t60:3)],[p2_1]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(l29,lemma,
p2(f3(c12,c11),c15),
inference(lemma,[status(cth),parent(t58:2),below(t1:5)],[t58:2]) ).
cnf(t66,plain,
p2(f3(c12,c11),c15),
inference(lemma_extension,[status(thm),parent(t58:3)],[l29:1]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t58:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN577-1 : 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
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 07:05:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.67/0.91 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.91 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------