%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% 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 : n006.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 08:54:59 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.40s
% Output : Proof 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 14 unt; 0 nHn; 17 RR)
% Number of literals : 27 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiplication_is_well_defined,axiom,
( equalish(U,V)
| ~ product(X,Y,V)
| ~ product(X,Y,U) ),
file('theBenchmark.p',multiplication_is_well_defined) ).
cnf(multiplicative_identity1,axiom,
product(additive_identity,X,additive_identity),
file('theBenchmark.p',multiplicative_identity1) ).
cnf(some_property,hypothesis,
( product(X,h(X,Y),Y)
| ~ equalish(X,additive_identity) ),
file('theBenchmark.p',some_property) ).
cnf(a_times_b,hypothesis,
product(a,b,additive_identity),
file('theBenchmark.p',a_times_b) ).
cnf(a_not_additive_identity,negated_conjecture,
~ equalish(a,additive_identity),
file('theBenchmark.p',a_not_additive_identity) ).
cnf(t1,plain,
~ equalish(a,additive_identity),
inference(start,[status(thm),parent(0:0)],[a_not_additive_identity]) ).
cnf(t2,plain,
( ~ product(additive_identity,h(additive_identity,a),additive_identity)
| ~ product(additive_identity,h(additive_identity,a),a)
| equalish(a,additive_identity) ),
inference(extension,[status(thm),parent(t1:1)],[multiplication_is_well_defined]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ equalish(additive_identity,additive_identity)
| product(additive_identity,h(additive_identity,a),a) ),
inference(extension,[status(thm),parent(t2:2)],[some_property]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ product(a,b,additive_identity)
| ~ product(a,b,additive_identity)
| equalish(additive_identity,additive_identity) ),
inference(extension,[status(thm),parent(t4:2)],[multiplication_is_well_defined]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
product(a,b,additive_identity),
inference(extension,[status(thm),parent(t6:2)],[a_times_b]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(l4,lemma,
product(a,b,additive_identity),
inference(lemma,[status(cth),parent(t6:2),below(t4:2)],[t6:2]) ).
cnf(t10,plain,
product(a,b,additive_identity),
inference(lemma_extension,[status(thm),parent(t6:3)],[l4:1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
product(additive_identity,h(additive_identity,a),additive_identity),
inference(extension,[status(thm),parent(t2:3)],[multiplicative_identity1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 20:44:12 UTC 2026
% 0.02/0.38 % CPUTime :
% 0.02/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------