%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.09s 0.42s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 59 ( 42 unt; 0 nHn; 58 RR)
% Number of literals : 93 ( 0 equ; 36 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_4,negated_conjecture,
p2(X31,X31),
file('theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
p2(c25,c28),
file('theBenchmark.p',p2_7) ).
cnf(p2_11,negated_conjecture,
( ~ p2(X50,X51)
| p2(f6(X50),f6(X51)) ),
file('theBenchmark.p',p2_11) ).
cnf(p2_12,negated_conjecture,
( ~ p2(X44,X45)
| p2(f3(X44),f3(X45)) ),
file('theBenchmark.p',p2_12) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X48,X49)
| p2(f5(X48),f5(X49)) ),
file('theBenchmark.p',p2_14) ).
cnf(p2_27,negated_conjecture,
( ~ p2(X41,X43)
| ~ p2(X40,X42)
| p2(f12(X40,X41),f12(X42,X43)) ),
file('theBenchmark.p',p2_27) ).
cnf(p2_28,negated_conjecture,
( ~ p2(X52,X54)
| ~ p2(X53,X55)
| p2(f7(X52,X53),f7(X54,X55)) ),
file('theBenchmark.p',p2_28) ).
cnf(p14_29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('theBenchmark.p',p14_29) ).
cnf(not_p14_30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('theBenchmark.p',not_p14_30) ).
cnf(p14_31,negated_conjecture,
( ~ p14(X10,X11,X12)
| ~ p2(X10,X7)
| ~ p2(X11,X8)
| ~ p2(X12,X9)
| p14(X7,X8,X9) ),
file('theBenchmark.p',p14_31) ).
cnf(t1,plain,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
inference(start,[status(thm),parent(0:0)],[not_p14_30]) ).
cnf(t2,plain,
( ~ p2(f6(c21),f6(c21))
| ~ p2(f3(f5(c20)),f3(f5(c20)))
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21))
| p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)) ),
inference(extension,[status(thm),parent(t1:1)],[p14_31]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f6(c21),f6(c21))
| ~ p2(f3(f5(c20)),f3(f5(c20)))
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c25)))
| ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21))
| p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)) ),
inference(extension,[status(thm),parent(t2:2)],[p14_31]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(f6(c21),f6(c21))
| ~ p2(f3(f5(c20)),f3(f5(c20)))
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c25)))
| ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21))
| p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)) ),
inference(extension,[status(thm),parent(t4:2)],[p14_31]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
inference(extension,[status(thm),parent(t6:2)],[p14_29]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c25))),
inference(extension,[status(thm),parent(t6:3)],[p2_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
p2(f3(f5(c20)),f3(f5(c20))),
inference(extension,[status(thm),parent(t6:4)],[p2_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
p2(f6(c21),f6(c21)),
inference(extension,[status(thm),parent(t6:5)],[p2_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).
cnf(t16,plain,
( ~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c25))
| ~ p2(c22,c22)
| p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c25))) ),
inference(extension,[status(thm),parent(t4:3)],[p2_28]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:3]) ).
cnf(t18,plain,
p2(c22,c22),
inference(extension,[status(thm),parent(t16:2)],[p2_4]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c25)),
inference(extension,[status(thm),parent(t16:3)],[p2_4]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
( ~ p2(f5(c20),f5(c20))
| p2(f3(f5(c20)),f3(f5(c20))) ),
inference(extension,[status(thm),parent(t4:4)],[p2_12]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t4:4]) ).
cnf(t24,plain,
p2(f5(c20),f5(c20)),
inference(extension,[status(thm),parent(t22:2)],[p2_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ p2(c21,c21)
| p2(f6(c21),f6(c21)) ),
inference(extension,[status(thm),parent(t4:5)],[p2_11]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t4:5]) ).
cnf(t28,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t26:2)],[p2_4]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| ~ p2(c22,c22)
| p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
inference(extension,[status(thm),parent(t2:3)],[p2_28]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t2:3]) ).
cnf(t32,plain,
p2(c22,c22),
inference(extension,[status(thm),parent(t30:2)],[p2_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| ~ p2(c25,c28)
| p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28)) ),
inference(extension,[status(thm),parent(t30:3)],[p2_27]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
p2(c25,c28),
inference(extension,[status(thm),parent(t34:2)],[p2_7]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20)))),
inference(extension,[status(thm),parent(t34:3)],[p2_4]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
( ~ p2(f5(c20),f5(c20))
| p2(f3(f5(c20)),f3(f5(c20))) ),
inference(extension,[status(thm),parent(t2:4)],[p2_12]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:4]) ).
cnf(t42,plain,
( ~ p2(c20,c20)
| p2(f5(c20),f5(c20)) ),
inference(extension,[status(thm),parent(t40:2)],[p2_14]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
p2(c20,c20),
inference(extension,[status(thm),parent(t42:2)],[p2_4]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ p2(c21,c21)
| p2(f6(c21),f6(c21)) ),
inference(extension,[status(thm),parent(t2:5)],[p2_11]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t2:5]) ).
cnf(t48,plain,
p2(c21,c21),
inference(extension,[status(thm),parent(t46:2)],[p2_4]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN616-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 07:06:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------