%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN708-1 : 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 : n008.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 09:10:55 AM UTC 2026
% Result : Unsatisfiable 0.56s 0.86s
% Output : Proof 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 54 ( 38 unt; 0 nHn; 52 RR)
% Number of literals : 86 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c56_is_p38_1,negated_conjecture,
p38(c56),
file('theBenchmark.p',c56_is_p38_1) ).
cnf(p10_3,negated_conjecture,
p10(X0,X0),
file('theBenchmark.p',p10_3) ).
cnf(p16_8,negated_conjecture,
p16(X18,X18),
file('theBenchmark.p',p16_8) ).
cnf(p37_13,negated_conjecture,
p37(f15(c56),c48),
file('theBenchmark.p',p37_13) ).
cnf(p38_15,negated_conjecture,
( ~ p38(X27)
| p38(f15(X27)) ),
file('theBenchmark.p',p38_15) ).
cnf(p16_32,negated_conjecture,
( ~ p10(X25,X26)
| p16(f19(X25),f19(X26)) ),
file('theBenchmark.p',p16_32) ).
cnf(p16_36,negated_conjecture,
( ~ p38(X27)
| p16(f19(f15(X27)),f28(f19(X27))) ),
file('theBenchmark.p',p16_36) ).
cnf(p16_42,negated_conjecture,
( ~ p16(X18,X20)
| ~ p16(X18,X19)
| p16(X19,X20) ),
file('theBenchmark.p',p16_42) ).
cnf(p37_51,negated_conjecture,
( ~ p10(X95,X93)
| ~ p37(X95,X96)
| ~ p10(X96,X94)
| p37(X93,X94) ),
file('theBenchmark.p',p37_51) ).
cnf(p39_52,negated_conjecture,
( ~ p16(X101,X99)
| ~ p39(X101,X102)
| ~ p16(X102,X100)
| p39(X99,X100) ),
file('theBenchmark.p',p39_52) ).
cnf(p39_54,negated_conjecture,
( ~ p37(X91,X92)
| ~ p38(X91)
| ~ p38(X92)
| p39(f19(X91),f19(X92)) ),
file('theBenchmark.p',p39_54) ).
cnf(f11_is_p38_64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('theBenchmark.p',f11_is_p38_64) ).
cnf(p10_66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('theBenchmark.p',p10_66) ).
cnf(not_p39_69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('theBenchmark.p',not_p39_69) ).
cnf(t1,plain,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(start,[status(thm),parent(0:0)],[not_p39_69]) ).
cnf(t2,plain,
( ~ p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p16(f19(f15(c56)),f28(f19(c56)))
| p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(extension,[status(thm),parent(t1:1)],[p39_52]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p16(f19(f15(c56)),f19(f15(c56)))
| ~ p16(f19(f15(c56)),f28(f19(c56)))
| p16(f19(f15(c56)),f28(f19(c56))) ),
inference(extension,[status(thm),parent(t2:2)],[p16_42]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p38(c56)
| p16(f19(f15(c56)),f28(f19(c56))) ),
inference(extension,[status(thm),parent(t4:2)],[p16_36]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p38(c56),
inference(extension,[status(thm),parent(t6:2)],[c56_is_p38_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p16(f19(f15(c56)),f19(f15(c56)))
| ~ p16(f19(f15(c56)),f19(f15(c56)))
| p16(f19(f15(c56)),f19(f15(c56))) ),
inference(extension,[status(thm),parent(t4:3)],[p16_42]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
cnf(t12,plain,
p16(f19(f15(c56)),f19(f15(c56))),
inference(extension,[status(thm),parent(t10:2)],[p16_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p16(f19(f15(c56)),f19(f15(c56))),
inference(extension,[status(thm),parent(t10:3)],[p16_8]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
( ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(f15(c56))
| ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(extension,[status(thm),parent(t2:3)],[p39_54]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:3]) ).
cnf(t18,plain,
( ~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p37(f15(c56),c48)
| ~ p10(f15(c56),f15(c56))
| p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(extension,[status(thm),parent(t16:2)],[p37_51]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p10(f15(c56),f15(c56)),
inference(extension,[status(thm),parent(t18:2)],[p10_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p37(f15(c56),c48),
inference(extension,[status(thm),parent(t18:3)],[p37_13]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(extension,[status(thm),parent(t18:4)],[p10_66]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:4]) ).
cnf(t26,plain,
( ~ p38(c56)
| p38(f15(c56)) ),
inference(extension,[status(thm),parent(t16:3)],[p38_15]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t16:3]) ).
cnf(t28,plain,
p38(c56),
inference(extension,[status(thm),parent(t26:2)],[c56_is_p38_1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(extension,[status(thm),parent(t16:4)],[f11_is_p38_64]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t16:4]) ).
cnf(t32,plain,
( ~ p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(extension,[status(thm),parent(t2:4)],[p16_42]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t2:4]) ).
cnf(t34,plain,
( ~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(extension,[status(thm),parent(t32:2)],[p16_32]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(extension,[status(thm),parent(t34:2)],[p10_66]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(l17,lemma,
p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(lemma,[status(cth),parent(t32:2),below(t2:4)],[t32:2]) ).
cnf(t38,plain,
p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(lemma_extension,[status(thm),parent(t32:3)],[l17:1]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t32:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 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 : n008.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 07:07:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.56/0.86 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.86 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------