%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN712-1 : 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 : n012.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 0.18s 0.46s
% Output : Proof 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 22 unt; 0 nHn; 30 RR)
% Number of literals : 54 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 32 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p32_20,negated_conjecture,
p32(X92,X92),
file('theBenchmark.p',p32_20) ).
cnf(p2_28,negated_conjecture,
p2(X44,X44),
file('theBenchmark.p',p2_28) ).
cnf(p32_53,negated_conjecture,
( ~ p32(X92,X94)
| ~ p32(X92,X93)
| p32(X93,X94) ),
file('theBenchmark.p',p32_53) ).
cnf(not_p62_67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('theBenchmark.p',not_p62_67) ).
cnf(p62_69,negated_conjecture,
( ~ p32(X201,X200)
| ~ p62(X202,X201)
| ~ p4(X202,X199)
| p62(X199,X200) ),
file('theBenchmark.p',p62_69) ).
cnf(p4_82,negated_conjecture,
( ~ p3(X124,X126)
| ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ),
file('theBenchmark.p',p4_82) ).
cnf(p62_97,negated_conjecture,
( ~ p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204)
| p62(X203,X204) ),
file('theBenchmark.p',p62_97) ).
cnf(p62_98,negated_conjecture,
( ~ p62(X203,X204)
| p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204) ),
file('theBenchmark.p',p62_98) ).
cnf(p62_99,negated_conjecture,
( ~ p62(f23(f25(f27(f29(f31(c74,X24),X25),X26),X27),X28),X29)
| p62(X24,X29) ),
file('theBenchmark.p',p62_99) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('theBenchmark.p',p62_100) ).
cnf(p3_104,negated_conjecture,
p3(f16(f19(f21(c70,f8(f11(f13(c65,X24),X25),X26)),X27),X28),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X24),X25),X26),X27),X28)),f43(f45(f47(f49(f51(c75,X24),X25),X26),X27),X28)),f53(f55(f57(f59(f61(c76,X24),X25),X26),X27),X28))),
file('theBenchmark.p',p3_104) ).
cnf(t1,plain,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
inference(start,[status(thm),parent(0:0)],[not_p62_67]) ).
cnf(t2,plain,
( ~ p62(c66,c69)
| p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69) ),
inference(extension,[status(thm),parent(t1:1)],[p62_98]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69)
| p62(c66,c69) ),
inference(extension,[status(thm),parent(t2:2)],[p62_99]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69)
| p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69) ),
inference(extension,[status(thm),parent(t4:2)],[p62_97]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))))
| ~ p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69)
| ~ p32(c69,c69)
| p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69) ),
inference(extension,[status(thm),parent(t6:2)],[p62_69]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p32(c69,c69)
| ~ p32(c69,c69)
| p32(c69,c69) ),
inference(extension,[status(thm),parent(t8:2)],[p32_53]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p32(c69,c69),
inference(extension,[status(thm),parent(t10:2)],[p32_20]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p32(c69,c69),
inference(extension,[status(thm),parent(t10:3)],[p32_20]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
inference(extension,[status(thm),parent(t8:3)],[p62_100]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).
cnf(t18,plain,
( ~ p2(c64,c64)
| ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72)))
| p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72)))) ),
inference(extension,[status(thm),parent(t8:4)],[p4_82]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t8:4]) ).
cnf(t20,plain,
p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),
inference(extension,[status(thm),parent(t18:2)],[p3_104]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p2(c64,c64),
inference(extension,[status(thm),parent(t18:3)],[p2_28]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.01 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 07:07:08 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------