%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN596-1 : 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 : n015.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 09:10:40 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 19 unt; 0 nHn; 23 RR)
% Number of literals : 39 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0),
file('theBenchmark.p',p10_1) ).
cnf(p2_4,negated_conjecture,
p2(X28,X28),
file('theBenchmark.p',p2_4) ).
cnf(p10_15,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('theBenchmark.p',p10_15) ).
cnf(p2_18,negated_conjecture,
( ~ p2(X28,X30)
| ~ p2(X28,X29)
| p2(X29,X30) ),
file('theBenchmark.p',p2_18) ).
cnf(p18_20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('theBenchmark.p',p18_20) ).
cnf(not_p18_21,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('theBenchmark.p',not_p18_21) ).
cnf(p18_23,negated_conjecture,
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
file('theBenchmark.p',p18_23) ).
cnf(p10_28,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('theBenchmark.p',p10_28) ).
cnf(t1,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(start,[status(thm),parent(0:0)],[not_p18_21]) ).
cnf(t2,plain,
( ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p2(c20,c20)
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(extension,[status(thm),parent(t1:1)],[p18_23]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(extension,[status(thm),parent(t2:2)],[p10_15]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(extension,[status(thm),parent(t4:2)],[p10_1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(extension,[status(thm),parent(t4:3)],[p10_28]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ p2(c20,c20)
| ~ p2(c20,c20)
| p2(c20,c20) ),
inference(extension,[status(thm),parent(t2:3)],[p2_18]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
p2(c20,c20),
inference(extension,[status(thm),parent(t10:2)],[p2_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p2(c20,c20),
inference(extension,[status(thm),parent(t10:3)],[p2_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(extension,[status(thm),parent(t2:4)],[p18_20]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 07:08:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------