%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN585-1 : 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 : n005.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 09:10:38 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.47s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 18 unt; 5 nHn; 24 RR)
% Number of literals : 43 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_2,negated_conjecture,
p11(X8,X8),
file('theBenchmark.p',p11_2) ).
cnf(not_p2_6,negated_conjecture,
~ p2(c12,f3(c13)),
file('theBenchmark.p',not_p2_6) ).
cnf(p11_7,negated_conjecture,
p11(c18,f9(c12,c14)),
file('theBenchmark.p',p11_7) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
file('theBenchmark.p',not_p11_12) ).
cnf(p11_13,negated_conjecture,
( ~ p11(X9,X11)
| p11(X9,f8(X10,X11)) ),
file('theBenchmark.p',p11_13) ).
cnf(p11_16,negated_conjecture,
( ~ p11(X14,X13)
| ~ p11(X12,X14)
| p11(X12,X13) ),
file('theBenchmark.p',p11_16) ).
cnf(p11_25,negated_conjecture,
( ~ p11(f9(X17,X15),f9(X17,X16))
| p2(X17,f3(c13))
| p11(X15,X16) ),
file('theBenchmark.p',p11_25) ).
cnf(p2_26,negated_conjecture,
( ~ p11(X15,X16)
| p11(f9(X17,X15),f9(X17,X16))
| p2(X17,f3(c13)) ),
file('theBenchmark.p',p2_26) ).
cnf(t1,plain,
~ p2(c12,f3(c13)),
inference(start,[status(thm),parent(0:0)],[not_p2_6]) ).
cnf(t2,plain,
( ~ p11(f9(c12,c14),f9(c12,f8(c16,c14)))
| p11(c14,f8(c16,c14))
| p2(c12,f3(c13)) ),
inference(extension,[status(thm),parent(t1:1)],[p11_25]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( p11(f9(c12,c14),f9(c12,f8(c16,c14)))
| p2(c12,f3(c13))
| ~ p11(c14,f8(c16,c14)) ),
inference(extension,[status(thm),parent(t2:2)],[p2_26]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
$false,
inference(reduction,[status(thm),parent(t4:2)],[t4:2,t1:1]) ).
cnf(t7,plain,
( ~ p11(c18,f9(c12,c14))
| p11(c18,f9(c12,f8(c16,c14)))
| ~ p11(f9(c12,c14),f9(c12,f8(c16,c14))) ),
inference(extension,[status(thm),parent(t4:3)],[p11_16]) ).
cnf(t8,plain,
$false,
inference(connection,[status(thm),parent(t7:1)],[t7:1,t4:3]) ).
cnf(t9,plain,
~ p11(c18,f9(c12,f8(c16,c14))),
inference(extension,[status(thm),parent(t7:2)],[not_p11_12]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t7:2]) ).
cnf(t11,plain,
p11(c18,f9(c12,c14)),
inference(extension,[status(thm),parent(t7:3)],[p11_7]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t7:3]) ).
cnf(t13,plain,
( ~ p11(c14,f8(c16,c14))
| p2(c12,f3(c13))
| p11(f9(c12,c14),f9(c12,f8(c16,c14))) ),
inference(extension,[status(thm),parent(t2:3)],[p2_26]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t2:3]) ).
cnf(t15,plain,
$false,
inference(reduction,[status(thm),parent(t13:2)],[t13:2,t1:1]) ).
cnf(t16,plain,
( ~ p11(c14,c14)
| p11(c14,f8(c16,c14)) ),
inference(extension,[status(thm),parent(t13:3)],[p11_13]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t13:3]) ).
cnf(t18,plain,
p11(c14,c14),
inference(extension,[status(thm),parent(t16:2)],[p11_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 07:05:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------