%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/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 09:09:14 AM UTC 2026
% Result : Unsatisfiable 6.15s 6.41s
% Output : Proof 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 11 unt; 0 nHn; 8 RR)
% Number of literals : 19 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,axiom,
p(g(A,B),A,B),
file('theBenchmark.p',clause1) ).
cnf(clause2,axiom,
p(A,h(A,B),B),
file('theBenchmark.p',clause2) ).
cnf(clause3,axiom,
( p(F,E,C)
| ~ p(A,D,F)
| ~ p(D,E,B)
| ~ p(A,B,C) ),
file('theBenchmark.p',clause3) ).
cnf(prove_something,negated_conjecture,
~ p(k(A),A,k(A)),
file('theBenchmark.p',prove_something) ).
cnf(t1,plain,
~ p(k(h(U_1251,U_1251)),h(U_1251,U_1251),k(h(U_1251,U_1251))),
inference(start,[status(thm),parent(0:0)],[prove_something]) ).
cnf(t2,plain,
( ~ p(U_1251,h(U_1251,U_1251),U_1251)
| ~ p(g(U_1251,k(h(U_1251,U_1251))),U_1251,k(h(U_1251,U_1251)))
| ~ p(g(U_1251,k(h(U_1251,U_1251))),U_1251,k(h(U_1251,U_1251)))
| p(k(h(U_1251,U_1251)),h(U_1251,U_1251),k(h(U_1251,U_1251))) ),
inference(extension,[status(thm),parent(t1:1)],[clause3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p(g(U_1251,k(h(U_1251,U_1251))),U_1251,k(h(U_1251,U_1251))),
inference(extension,[status(thm),parent(t2:2)],[clause1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
p(g(U_1251,k(h(U_1251,U_1251))),U_1251,k(h(U_1251,U_1251))),
inference(extension,[status(thm),parent(t2:3)],[clause1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
p(U_1251,h(U_1251,U_1251),U_1251),
inference(extension,[status(thm),parent(t2:4)],[clause2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.36 % Computer : n015.cluster.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.36 % Memory : 8046.5625MB
% 0.02/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sun Sep 20 06:26:06 UTC 2026
% 0.02/0.36 % CPUTime :
% 6.15/6.41 % SZS status Unsatisfiable for theBenchmark
% 6.15/6.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------