%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN564-1 : 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 : n015.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 0.66s 0.95s
% Output : Proof 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 59 ( 43 unt; 0 nHn; 55 RR)
% Number of literals : 90 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X9,X9),
file('theBenchmark.p',p2_1) ).
cnf(p2_3,negated_conjecture,
p2(f5(f7(X18)),f5(X18)),
file('theBenchmark.p',p2_3) ).
cnf(p4_4,negated_conjecture,
p4(f8(X38,X39),f6(X38,f7(X39))),
file('theBenchmark.p',p4_4) ).
cnf(p2_6,negated_conjecture,
( ~ p4(X16,X17)
| p2(f5(X16),f5(X17)) ),
file('theBenchmark.p',p2_6) ).
cnf(p2_8,negated_conjecture,
( ~ p2(X9,X11)
| ~ p2(X9,X10)
| p2(X10,X11) ),
file('theBenchmark.p',p2_8) ).
cnf(p10_10,negated_conjecture,
p10(f5(X7),f3(f5(f6(X7,X8)),f5(X8))),
file('theBenchmark.p',p10_10) ).
cnf(not_p10_11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
file('theBenchmark.p',not_p10_11) ).
cnf(p10_13,negated_conjecture,
( ~ p10(X4,f3(X5,X6))
| p10(f9(X4,X6),X5) ),
file('theBenchmark.p',p10_13) ).
cnf(p10_14,negated_conjecture,
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
file('theBenchmark.p',p10_14) ).
cnf(p2_17,negated_conjecture,
( ~ p2(X20,X22)
| ~ p2(X19,X21)
| p2(f9(X19,X20),f9(X21,X22)) ),
file('theBenchmark.p',p2_17) ).
cnf(t1,plain,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
inference(start,[status(thm),parent(0:0)],[not_p10_11]) ).
cnf(t2,plain,
( ~ p2(f9(f5(c11),f5(c12)),f9(f5(c11),f5(c12)))
| ~ p2(f5(f6(c11,f7(c12))),f5(f8(c11,c12)))
| ~ p10(f9(f5(c11),f5(c12)),f5(f6(c11,f7(c12))))
| p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))) ),
inference(extension,[status(thm),parent(t1:1)],[p10_14]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f9(f5(c11),f5(f7(c12))),f9(f5(c11),f5(c12)))
| ~ p2(f5(f6(c11,f7(c12))),f5(f6(c11,f7(c12))))
| ~ p10(f9(f5(c11),f5(f7(c12))),f5(f6(c11,f7(c12))))
| p10(f9(f5(c11),f5(c12)),f5(f6(c11,f7(c12)))) ),
inference(extension,[status(thm),parent(t2:2)],[p10_14]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p10(f5(c11),f3(f5(f6(c11,f7(c12))),f5(f7(c12))))
| p10(f9(f5(c11),f5(f7(c12))),f5(f6(c11,f7(c12)))) ),
inference(extension,[status(thm),parent(t4:2)],[p10_13]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p10(f5(c11),f3(f5(f6(c11,f7(c12))),f5(f7(c12)))),
inference(extension,[status(thm),parent(t6:2)],[p10_10]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p2(f5(f7(f6(c11,f7(c12)))),f5(f6(c11,f7(c12))))
| ~ p2(f5(f7(f6(c11,f7(c12)))),f5(f6(c11,f7(c12))))
| p2(f5(f6(c11,f7(c12))),f5(f6(c11,f7(c12)))) ),
inference(extension,[status(thm),parent(t4:3)],[p2_8]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
cnf(t12,plain,
p2(f5(f7(f6(c11,f7(c12)))),f5(f6(c11,f7(c12)))),
inference(extension,[status(thm),parent(t10:2)],[p2_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p2(f5(f7(f6(c11,f7(c12)))),f5(f6(c11,f7(c12)))),
inference(extension,[status(thm),parent(t10:3)],[p2_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
( ~ p2(f5(c11),f5(c11))
| ~ p2(f5(f7(c12)),f5(c12))
| p2(f9(f5(c11),f5(f7(c12))),f9(f5(c11),f5(c12))) ),
inference(extension,[status(thm),parent(t4:4)],[p2_17]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:4]) ).
cnf(t18,plain,
p2(f5(f7(c12)),f5(c12)),
inference(extension,[status(thm),parent(t16:2)],[p2_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p2(f5(c11),f5(c11)),
inference(extension,[status(thm),parent(t16:3)],[p2_1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
( ~ p2(f5(f8(c11,c12)),f5(f6(c11,f7(c12))))
| ~ p2(f5(f8(c11,c12)),f5(f8(c11,c12)))
| p2(f5(f6(c11,f7(c12))),f5(f8(c11,c12))) ),
inference(extension,[status(thm),parent(t2:3)],[p2_8]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:3]) ).
cnf(t24,plain,
( ~ p2(f5(f7(f8(c11,c12))),f5(f8(c11,c12)))
| ~ p2(f5(f7(f8(c11,c12))),f5(f8(c11,c12)))
| p2(f5(f8(c11,c12)),f5(f8(c11,c12))) ),
inference(extension,[status(thm),parent(t22:2)],[p2_8]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p2(f5(f7(f8(c11,c12))),f5(f8(c11,c12))),
inference(extension,[status(thm),parent(t24:2)],[p2_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p2(f5(f7(f8(c11,c12))),f5(f8(c11,c12))),
inference(extension,[status(thm),parent(t24:3)],[p2_3]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ p4(f8(c11,c12),f6(c11,f7(c12)))
| p2(f5(f8(c11,c12)),f5(f6(c11,f7(c12)))) ),
inference(extension,[status(thm),parent(t22:3)],[p2_6]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:3]) ).
cnf(t32,plain,
p4(f8(c11,c12),f6(c11,f7(c12))),
inference(extension,[status(thm),parent(t30:2)],[p4_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ p2(f5(c11),f5(c11))
| ~ p2(f5(c12),f5(c12))
| p2(f9(f5(c11),f5(c12)),f9(f5(c11),f5(c12))) ),
inference(extension,[status(thm),parent(t2:4)],[p2_17]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t2:4]) ).
cnf(t36,plain,
( ~ p2(f5(f7(c12)),f5(c12))
| ~ p2(f5(f7(c12)),f5(c12))
| p2(f5(c12),f5(c12)) ),
inference(extension,[status(thm),parent(t34:2)],[p2_8]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p2(f5(f7(c12)),f5(c12)),
inference(extension,[status(thm),parent(t36:2)],[p2_3]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(l19,lemma,
p2(f5(f7(c12)),f5(c12)),
inference(lemma,[status(cth),parent(t36:2),below(t34:2)],[t36:2]) ).
cnf(t40,plain,
p2(f5(f7(c12)),f5(c12)),
inference(lemma_extension,[status(thm),parent(t36:3)],[l19:1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
( ~ p2(f5(f7(c11)),f5(c11))
| ~ p2(f5(f7(c11)),f5(c11))
| p2(f5(c11),f5(c11)) ),
inference(extension,[status(thm),parent(t34:3)],[p2_8]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t34:3]) ).
cnf(t44,plain,
p2(f5(f7(c11)),f5(c11)),
inference(extension,[status(thm),parent(t42:2)],[p2_3]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(l21,lemma,
p2(f5(f7(c11)),f5(c11)),
inference(lemma,[status(cth),parent(t42:2),below(t34:3)],[t42:2]) ).
cnf(t46,plain,
p2(f5(f7(c11)),f5(c11)),
inference(lemma_extension,[status(thm),parent(t42:3)],[l21:1]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % 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 : n015.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 07:08:04 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.66/0.95 % SZS status Unsatisfiable for theBenchmark
% 0.66/0.95 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------