%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN688-1 : 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 : n001.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 09:10:52 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of clauses : 61 ( 44 unt; 0 nHn; 59 RR)
% Number of literals : 95 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c34_is_p27_1,negated_conjecture,
p27(c34),
file('theBenchmark.p',c34_is_p27_1) ).
cnf(c43_is_p27_2,negated_conjecture,
p27(c43),
file('theBenchmark.p',c43_is_p27_2) ).
cnf(p10_5,negated_conjecture,
p10(X0,X0),
file('theBenchmark.p',p10_5) ).
cnf(p18_10,negated_conjecture,
p18(X18,X18),
file('theBenchmark.p',p18_10) ).
cnf(not_p25_16,negated_conjecture,
~ p25(f17(c43),c34),
file('theBenchmark.p',not_p25_16) ).
cnf(p27_17,negated_conjecture,
( ~ p27(X23)
| p27(f17(X23)) ),
file('theBenchmark.p',p27_17) ).
cnf(p28_18,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('theBenchmark.p',p28_18) ).
cnf(p18_25,negated_conjecture,
( ~ p10(X21,X22)
| p18(f19(X21),f19(X22)) ),
file('theBenchmark.p',p18_25) ).
cnf(p18_31,negated_conjecture,
( ~ p27(X23)
| p18(f19(f17(X23)),f20(f19(X23))) ),
file('theBenchmark.p',p18_31) ).
cnf(p18_37,negated_conjecture,
( ~ p18(X18,X20)
| ~ p18(X18,X19)
| p18(X19,X20) ),
file('theBenchmark.p',p18_37) ).
cnf(p25_40,negated_conjecture,
( ~ p28(f19(X56),f19(X57))
| ~ p27(X57)
| ~ p27(X56)
| p25(X56,X57) ),
file('theBenchmark.p',p25_40) ).
cnf(p28_44,negated_conjecture,
( ~ p18(X68,X66)
| ~ p28(X68,X69)
| ~ p18(X69,X67)
| p28(X66,X67) ),
file('theBenchmark.p',p28_44) ).
cnf(t1,plain,
~ p25(f17(c43),c34),
inference(start,[status(thm),parent(0:0)],[not_p25_16]) ).
cnf(t2,plain,
( ~ p27(f17(c43))
| ~ p27(c34)
| ~ p28(f19(f17(c43)),f19(c34))
| p25(f17(c43),c34) ),
inference(extension,[status(thm),parent(t1:1)],[p25_40]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p18(f19(c34),f19(c34))
| ~ p28(f20(f19(c43)),f19(c34))
| ~ p18(f20(f19(c43)),f19(f17(c43)))
| p28(f19(f17(c43)),f19(c34)) ),
inference(extension,[status(thm),parent(t2:2)],[p28_44]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p18(f19(f17(c43)),f20(f19(c43)))
| ~ p18(f19(f17(c43)),f19(f17(c43)))
| p18(f20(f19(c43)),f19(f17(c43))) ),
inference(extension,[status(thm),parent(t4:2)],[p18_37]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p18(f19(f17(c43)),f19(f17(c43)))
| ~ p18(f19(f17(c43)),f19(f17(c43)))
| p18(f19(f17(c43)),f19(f17(c43))) ),
inference(extension,[status(thm),parent(t6:2)],[p18_37]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p18(f19(f17(c43)),f19(f17(c43))),
inference(extension,[status(thm),parent(t8:2)],[p18_10]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p18(f19(f17(c43)),f19(f17(c43))),
inference(extension,[status(thm),parent(t8:3)],[p18_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( ~ p27(c43)
| p18(f19(f17(c43)),f20(f19(c43))) ),
inference(extension,[status(thm),parent(t6:3)],[p18_31]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).
cnf(t16,plain,
p27(c43),
inference(extension,[status(thm),parent(t14:2)],[c43_is_p27_2]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ p18(f19(c34),f19(c34))
| ~ p28(f20(f19(c43)),f19(c34))
| ~ p18(f20(f19(c43)),f20(f19(c43)))
| p28(f20(f19(c43)),f19(c34)) ),
inference(extension,[status(thm),parent(t4:3)],[p28_44]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:3]) ).
cnf(t20,plain,
( ~ p18(f20(f19(c43)),f20(f19(c43)))
| ~ p18(f20(f19(c43)),f20(f19(c43)))
| p18(f20(f19(c43)),f20(f19(c43))) ),
inference(extension,[status(thm),parent(t18:2)],[p18_37]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p18(f20(f19(c43)),f20(f19(c43))),
inference(extension,[status(thm),parent(t20:2)],[p18_10]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p18(f20(f19(c43)),f20(f19(c43))),
inference(extension,[status(thm),parent(t20:3)],[p18_10]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( ~ p18(f19(c34),f19(c34))
| ~ p28(f20(f19(c43)),f19(c34))
| ~ p18(f20(f19(c43)),f20(f19(c43)))
| p28(f20(f19(c43)),f19(c34)) ),
inference(extension,[status(thm),parent(t18:3)],[p28_44]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:3]) ).
cnf(t28,plain,
p18(f20(f19(c43)),f20(f19(c43))),
inference(extension,[status(thm),parent(t26:2)],[p18_10]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
p28(f20(f19(c43)),f19(c34)),
inference(extension,[status(thm),parent(t26:3)],[p28_18]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
p18(f19(c34),f19(c34)),
inference(extension,[status(thm),parent(t26:4)],[p18_10]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t26:4]) ).
cnf(t34,plain,
( ~ p18(f19(c34),f19(c34))
| ~ p18(f19(c34),f19(c34))
| p18(f19(c34),f19(c34)) ),
inference(extension,[status(thm),parent(t18:4)],[p18_37]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t18:4]) ).
cnf(t36,plain,
p18(f19(c34),f19(c34)),
inference(extension,[status(thm),parent(t34:2)],[p18_10]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p18(f19(c34),f19(c34)),
inference(extension,[status(thm),parent(t34:3)],[p18_10]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
( ~ p10(c34,c34)
| p18(f19(c34),f19(c34)) ),
inference(extension,[status(thm),parent(t4:4)],[p18_25]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t4:4]) ).
cnf(t42,plain,
p10(c34,c34),
inference(extension,[status(thm),parent(t40:2)],[p10_5]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
p27(c34),
inference(extension,[status(thm),parent(t2:3)],[c34_is_p27_1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t2:3]) ).
cnf(t46,plain,
( ~ p27(c43)
| p27(f17(c43)) ),
inference(extension,[status(thm),parent(t2:4)],[p27_17]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t2:4]) ).
cnf(t48,plain,
p27(c43),
inference(extension,[status(thm),parent(t46:2)],[c43_is_p27_2]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN688-1 : 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
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 07:12:41 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------