%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN618-1 : 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 09:10:43 AM UTC 2026
% Result : Unsatisfiable 3.05s 3.32s
% Output : Proof 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 78 ( 59 unt; 0 nHn; 76 RR)
% Number of literals : 121 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_3,negated_conjecture,
p5(X34,X34),
file('theBenchmark.p',p5_3) ).
cnf(p2_5,negated_conjecture,
p2(X24,X24),
file('theBenchmark.p',p2_5) ).
cnf(p13_8,negated_conjecture,
p13(c23,c21),
file('theBenchmark.p',p13_8) ).
cnf(p13_9,negated_conjecture,
p13(c19,c23),
file('theBenchmark.p',p13_9) ).
cnf(p2_12,negated_conjecture,
p2(c17,f3(c16)),
file('theBenchmark.p',p2_12) ).
cnf(p5_16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('theBenchmark.p',p5_16) ).
cnf(not_p5_17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('theBenchmark.p',not_p5_17) ).
cnf(p5_22,negated_conjecture,
( ~ p5(X34,X36)
| ~ p5(X34,X35)
| p5(X35,X36) ),
file('theBenchmark.p',p5_22) ).
cnf(p2_24,negated_conjecture,
( ~ p2(X24,X26)
| ~ p2(X24,X25)
| p2(X25,X26) ),
file('theBenchmark.p',p2_24) ).
cnf(p13_28,negated_conjecture,
( ~ p13(X15,X16)
| ~ p5(X16,X14)
| ~ p5(X15,X13)
| p13(X13,X14) ),
file('theBenchmark.p',p13_28) ).
cnf(p5_30,negated_conjecture,
( ~ p5(X41,X43)
| ~ p2(X40,X42)
| p5(f8(X40,X41),f8(X42,X43)) ),
file('theBenchmark.p',p5_30) ).
cnf(p5_31,negated_conjecture,
( ~ p5(f8(c17,X37),f6(f7(c22)))
| ~ p13(c19,X37)
| ~ p13(X37,c21)
| p5(X37,c20) ),
file('theBenchmark.p',p5_31) ).
cnf(t1,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(start,[status(thm),parent(0:0)],[not_p5_17]) ).
cnf(t2,plain,
( ~ p5(f8(c17,c23),f8(f3(c16),c20))
| ~ p5(f8(c17,c23),f6(f7(c22)))
| p5(f8(f3(c16),c20),f6(f7(c22))) ),
inference(extension,[status(thm),parent(t1:1)],[p5_22]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p5(f8(f3(c16),c23),f8(c17,c23))
| ~ p5(f8(f3(c16),c23),f6(f7(c22)))
| p5(f8(c17,c23),f6(f7(c22))) ),
inference(extension,[status(thm),parent(t2:2)],[p5_22]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p5(f8(f3(c16),c23),f8(f3(c16),c23))
| ~ p5(f8(f3(c16),c23),f6(f7(c22)))
| p5(f8(f3(c16),c23),f6(f7(c22))) ),
inference(extension,[status(thm),parent(t4:2)],[p5_22]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p5(f8(f3(c16),c23),f8(f3(c16),c23))
| ~ p5(f8(f3(c16),c23),f6(f7(c22)))
| p5(f8(f3(c16),c23),f6(f7(c22))) ),
inference(extension,[status(thm),parent(t6:2)],[p5_22]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(extension,[status(thm),parent(t8:2)],[p5_16]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p5(f8(f3(c16),c23),f8(f3(c16),c23)),
inference(extension,[status(thm),parent(t8:3)],[p5_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( ~ p2(f3(c16),f3(c16))
| ~ p5(c23,c23)
| p5(f8(f3(c16),c23),f8(f3(c16),c23)) ),
inference(extension,[status(thm),parent(t6:3)],[p5_30]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).
cnf(t16,plain,
p5(c23,c23),
inference(extension,[status(thm),parent(t14:2)],[p5_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
p2(f3(c16),f3(c16)),
inference(extension,[status(thm),parent(t14:3)],[p2_5]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
( ~ p2(f3(c16),c17)
| ~ p5(c23,c23)
| p5(f8(f3(c16),c23),f8(c17,c23)) ),
inference(extension,[status(thm),parent(t4:3)],[p5_30]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t4:3]) ).
cnf(t22,plain,
( ~ p5(c23,c23)
| ~ p5(c23,c23)
| p5(c23,c23) ),
inference(extension,[status(thm),parent(t20:2)],[p5_22]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p5(c23,c23),
inference(extension,[status(thm),parent(t22:2)],[p5_3]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p5(c23,c23),
inference(extension,[status(thm),parent(t22:3)],[p5_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
( ~ p2(c17,f3(c16))
| ~ p2(c17,c17)
| p2(f3(c16),c17) ),
inference(extension,[status(thm),parent(t20:3)],[p2_24]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:3]) ).
cnf(t30,plain,
p2(c17,c17),
inference(extension,[status(thm),parent(t28:2)],[p2_5]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
p2(c17,f3(c16)),
inference(extension,[status(thm),parent(t28:3)],[p2_12]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(l2,lemma,
p5(f8(c17,c23),f6(f7(c22))),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t34,plain,
( ~ p2(c17,f3(c16))
| ~ p5(c23,c20)
| p5(f8(c17,c23),f8(f3(c16),c20)) ),
inference(extension,[status(thm),parent(t2:3)],[p5_30]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t2:3]) ).
cnf(t36,plain,
( ~ p13(c23,c21)
| ~ p13(c19,c23)
| ~ p5(f8(c17,c23),f6(f7(c22)))
| p5(c23,c20) ),
inference(extension,[status(thm),parent(t34:2)],[p5_31]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p5(f8(c17,c23),f6(f7(c22))),
inference(lemma_extension,[status(thm),parent(t36:2)],[l2:1]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ p5(c19,c19)
| ~ p5(c23,c23)
| ~ p13(c19,c23)
| p13(c19,c23) ),
inference(extension,[status(thm),parent(t36:3)],[p13_28]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
p13(c19,c23),
inference(extension,[status(thm),parent(t40:2)],[p13_9]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
p5(c23,c23),
inference(extension,[status(thm),parent(t40:3)],[p5_3]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:3]) ).
cnf(t46,plain,
p5(c19,c19),
inference(extension,[status(thm),parent(t40:4)],[p5_3]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t40:4]) ).
cnf(t48,plain,
( ~ p5(c23,c23)
| ~ p5(c21,c21)
| ~ p13(c23,c21)
| p13(c23,c21) ),
inference(extension,[status(thm),parent(t36:4)],[p13_28]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t36:4]) ).
cnf(t50,plain,
p13(c23,c21),
inference(extension,[status(thm),parent(t48:2)],[p13_8]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
p5(c21,c21),
inference(extension,[status(thm),parent(t48:3)],[p5_3]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t48:3]) ).
cnf(t54,plain,
p5(c23,c23),
inference(extension,[status(thm),parent(t48:4)],[p5_3]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t48:4]) ).
cnf(t56,plain,
( ~ p2(c17,c17)
| ~ p2(c17,f3(c16))
| p2(c17,f3(c16)) ),
inference(extension,[status(thm),parent(t34:3)],[p2_24]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t34:3]) ).
cnf(t58,plain,
( ~ p2(c17,c17)
| ~ p2(c17,f3(c16))
| p2(c17,f3(c16)) ),
inference(extension,[status(thm),parent(t56:2)],[p2_24]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
p2(c17,f3(c16)),
inference(extension,[status(thm),parent(t58:2)],[p2_12]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
p2(c17,c17),
inference(extension,[status(thm),parent(t58:3)],[p2_5]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t58:3]) ).
cnf(t64,plain,
p2(c17,c17),
inference(extension,[status(thm),parent(t56:3)],[p2_5]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t56:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN618-1 : 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 07:06:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 3.05/3.32 % SZS status Unsatisfiable for theBenchmark
% 3.05/3.32 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------