%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN632-1 : 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 : n018.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 09:10:45 AM UTC 2026
% Result : Unsatisfiable 33.89s 34.16s
% Output : Proof 33.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 46 ( 28 unt; 0 nHn; 43 RR)
% Number of literals : 74 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_6,negated_conjecture,
p3(X46,X46),
file('theBenchmark.p',p3_6) ).
cnf(p2_7,negated_conjecture,
p2(X27,X27),
file('theBenchmark.p',p2_7) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X46,X48)
| ~ p3(X46,X47)
| p3(X47,X48) ),
file('theBenchmark.p',p3_17) ).
cnf(p21_23,negated_conjecture,
( ~ p21(X36,X37)
| ~ p4(X36,X34)
| ~ p3(X37,X35)
| p21(X34,X35) ),
file('theBenchmark.p',p21_23) ).
cnf(p21_24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('theBenchmark.p',p21_24) ).
cnf(p4_31,negated_conjecture,
( ~ p3(X57,X59)
| ~ p2(X56,X58)
| p4(f5(X56,X57),f5(X58,X59)) ),
file('theBenchmark.p',p4_31) ).
cnf(p3_33,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44)
| p3(X43,X44) ),
file('theBenchmark.p',p3_33) ).
cnf(p21_34,negated_conjecture,
( ~ p3(X43,X44)
| p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44) ),
file('theBenchmark.p',p21_34) ).
cnf(not_p21_35,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X77),c27)
| ~ p21(f5(c22,c23),X77) ),
file('theBenchmark.p',not_p21_35) ).
cnf(p21_36,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X39)),X38),X40),X41)
| p21(f5(X38,f14(f16(f18(f20(c29,X39),X40),X38),X41)),X41) ),
file('theBenchmark.p',p21_36) ).
cnf(p21_38,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X39)),X38),X40),X41)
| p21(f5(f7(f10(c24,X39),X38),X40),f14(f16(f18(f20(c29,X39),X40),X38),X41)) ),
file('theBenchmark.p',p21_38) ).
cnf(t1,plain,
p2(c22,c22),
inference(start,[status(thm),parent(0:0)],[p2_7]) ).
cnf(t2,plain,
( ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23)
| p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(c22,c23))
| ~ p2(c22,c22) ),
inference(extension,[status(thm),parent(t1:1)],[p4_31]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p3(c27,c27)
| ~ p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27)
| p21(f5(c22,c23),c27)
| ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(c22,c23)) ),
inference(extension,[status(thm),parent(t2:2)],[p21_23]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),c27),c27)
| ~ p21(f5(c22,c23),c27) ),
inference(extension,[status(thm),parent(t4:2)],[not_p21_35]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p3(c27,c27)
| p21(f5(f7(f10(c24,f12(c25,c26)),c22),c27),c27) ),
inference(extension,[status(thm),parent(t6:2)],[p21_34]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p3(c27,c27),
inference(extension,[status(thm),parent(t8:2)],[p3_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27)
| p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27) ),
inference(extension,[status(thm),parent(t4:3)],[p21_36]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).
cnf(t14,plain,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
inference(extension,[status(thm),parent(t12:2)],[p21_24]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p3(c27,c27),
inference(extension,[status(thm),parent(t4:4)],[p3_6]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:4]) ).
cnf(t18,plain,
( ~ p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p3(c23,c23)
| p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23) ),
inference(extension,[status(thm),parent(t2:3)],[p3_17]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).
cnf(t20,plain,
( ~ p3(c23,c23)
| ~ p3(c23,c23)
| p3(c23,c23) ),
inference(extension,[status(thm),parent(t18:2)],[p3_17]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ p3(c23,c23)
| ~ p3(c23,c23)
| p3(c23,c23) ),
inference(extension,[status(thm),parent(t20:2)],[p3_17]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p3(c23,c23),
inference(extension,[status(thm),parent(t22:2)],[p3_6]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p3(c23,c23),
inference(extension,[status(thm),parent(t22:3)],[p3_6]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
p3(c23,c23),
inference(extension,[status(thm),parent(t20:3)],[p3_6]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:3]) ).
cnf(t30,plain,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)) ),
inference(extension,[status(thm),parent(t18:3)],[p3_33]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t18:3]) ).
cnf(t32,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27)
| p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)) ),
inference(extension,[status(thm),parent(t30:2)],[p21_38]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
inference(extension,[status(thm),parent(t32:2)],[p21_24]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN632-1 : 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
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 07:08:11 UTC 2026
% 0.08/0.35 % CPUTime :
% 33.89/34.16 % SZS status Unsatisfiable for theBenchmark
% 33.89/34.16 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------