%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN590-1 : 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 : n026.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 09:10:39 AM UTC 2026
% Result : Unsatisfiable 1.35s 1.68s
% Output : Proof 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 49 ( 29 unt; 0 nHn; 47 RR)
% Number of literals : 78 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c16_is_p11_3,negated_conjecture,
p11(c16),
file('theBenchmark.p',c16_is_p11_3) ).
cnf(p2_5,negated_conjecture,
p2(X14,X14),
file('theBenchmark.p',p2_5) ).
cnf(p3_6,negated_conjecture,
p3(X19,X19),
file('theBenchmark.p',p3_6) ).
cnf(p3_8,negated_conjecture,
p3(f4(c16),f6(c15)),
file('theBenchmark.p',p3_8) ).
cnf(p11_9,negated_conjecture,
( ~ p11(X4)
| p11(f9(X4)) ),
file('theBenchmark.p',p11_9) ).
cnf(p12_11,negated_conjecture,
( ~ p10(f6(X5),f6(X6))
| p12(X5,X6) ),
file('theBenchmark.p',p12_11) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X17,X18)
| p2(f9(X17),f9(X18)) ),
file('theBenchmark.p',p2_14) ).
cnf(p3_15,negated_conjecture,
( ~ p2(X22,X23)
| p3(f4(X22),f4(X23)) ),
file('theBenchmark.p',p3_15) ).
cnf(p3_18,negated_conjecture,
( ~ p11(X24)
| p3(f4(X24),f6(f8(X24))) ),
file('theBenchmark.p',p3_18) ).
cnf(p10_19,negated_conjecture,
( ~ p11(X4)
| p10(f4(f9(X4)),f4(X4)) ),
file('theBenchmark.p',p10_19) ).
cnf(p3_24,negated_conjecture,
( ~ p3(X19,X21)
| ~ p3(X19,X20)
| p3(X20,X21) ),
file('theBenchmark.p',p3_24) ).
cnf(not_p11_25,negated_conjecture,
( ~ p3(f4(X34),f6(X35))
| ~ p12(X35,c15)
| ~ p11(X34) ),
file('theBenchmark.p',not_p11_25) ).
cnf(p10_26,negated_conjecture,
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
file('theBenchmark.p',p10_26) ).
cnf(t1,plain,
( ~ p12(f8(f9(c16)),c15)
| ~ p3(f4(f9(c16)),f6(f8(f9(c16))))
| ~ p11(f9(c16)) ),
inference(start,[status(thm),parent(0:0)],[not_p11_25]) ).
cnf(t2,plain,
( ~ p11(c16)
| p11(f9(c16)) ),
inference(extension,[status(thm),parent(t1:1)],[p11_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p11(c16),
inference(extension,[status(thm),parent(t2:2)],[c16_is_p11_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p3(f4(f9(c16)),f4(f9(c16)))
| ~ p3(f4(f9(c16)),f6(f8(f9(c16))))
| p3(f4(f9(c16)),f6(f8(f9(c16)))) ),
inference(extension,[status(thm),parent(t1:2)],[p3_24]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
( ~ p11(f9(c16))
| p3(f4(f9(c16)),f6(f8(f9(c16)))) ),
inference(extension,[status(thm),parent(t6:2)],[p3_18]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p11(c16)
| p11(f9(c16)) ),
inference(extension,[status(thm),parent(t8:2)],[p11_9]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p11(c16),
inference(extension,[status(thm),parent(t10:2)],[c16_is_p11_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ p2(f9(c16),f9(c16))
| p3(f4(f9(c16)),f4(f9(c16))) ),
inference(extension,[status(thm),parent(t6:3)],[p3_15]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).
cnf(t16,plain,
( ~ p2(c16,c16)
| p2(f9(c16),f9(c16)) ),
inference(extension,[status(thm),parent(t14:2)],[p2_14]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
p2(c16,c16),
inference(extension,[status(thm),parent(t16:2)],[p2_5]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(l3,lemma,
p3(f4(f9(c16)),f6(f8(f9(c16)))),
inference(lemma,[status(cth),parent(t1:2),below(0:0)],[t1:2]) ).
cnf(t20,plain,
( ~ p10(f6(f8(f9(c16))),f6(c15))
| p12(f8(f9(c16)),c15) ),
inference(extension,[status(thm),parent(t1:3)],[p12_11]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t1:3]) ).
cnf(t22,plain,
( ~ p3(f4(f9(c16)),f6(f8(f9(c16))))
| ~ p3(f4(c16),f6(c15))
| ~ p10(f4(f9(c16)),f4(c16))
| p10(f6(f8(f9(c16))),f6(c15)) ),
inference(extension,[status(thm),parent(t20:2)],[p10_26]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ p11(c16)
| p10(f4(f9(c16)),f4(c16)) ),
inference(extension,[status(thm),parent(t22:2)],[p10_19]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p11(c16),
inference(extension,[status(thm),parent(t24:2)],[c16_is_p11_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ p3(f4(c16),f4(c16))
| ~ p3(f4(c16),f6(c15))
| p3(f4(c16),f6(c15)) ),
inference(extension,[status(thm),parent(t22:3)],[p3_24]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t22:3]) ).
cnf(t30,plain,
p3(f4(c16),f6(c15)),
inference(extension,[status(thm),parent(t28:2)],[p3_8]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
p3(f4(c16),f4(c16)),
inference(extension,[status(thm),parent(t28:3)],[p3_6]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(t34,plain,
p3(f4(f9(c16)),f6(f8(f9(c16)))),
inference(lemma_extension,[status(thm),parent(t22:4)],[l3:1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t22:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN590-1 : 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
% 0.08/0.37 % Computer : n026.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 07:08:06 UTC 2026
% 0.08/0.37 % CPUTime :
% 1.35/1.68 % SZS status Unsatisfiable for theBenchmark
% 1.35/1.68 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------