%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG040-2 : 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 29.95s 30.21s
% Output : Proof 29.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 18 unt; 0 nHn; 24 RR)
% Number of literals : 36 ( 0 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity1,axiom,
( sum(V1,V2,V4)
| ~ product(X,V3,V4)
| ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ),
file('theBenchmark.p',distributivity1) ).
cnf(product_symmetry,hypothesis,
( product(B,A,C)
| ~ product(A,B,C) ),
file('theBenchmark.p',product_symmetry) ).
cnf(b_plus_c,negated_conjecture,
sum(b,c,d),
file('theBenchmark.p',b_plus_c) ).
cnf(d_plus_a,negated_conjecture,
product(d,a,additive_identity),
file('theBenchmark.p',d_plus_a) ).
cnf(b_plus_a,negated_conjecture,
product(b,a,l),
file('theBenchmark.p',b_plus_a) ).
cnf(c_plus_a,negated_conjecture,
product(c,a,n),
file('theBenchmark.p',c_plus_a) ).
cnf(prove_equation,negated_conjecture,
~ sum(l,n,additive_identity),
file('theBenchmark.p',prove_equation) ).
cnf(t1,plain,
~ sum(l,n,additive_identity),
inference(start,[status(thm),parent(0:0)],[prove_equation]) ).
cnf(t2,plain,
( ~ product(a,c,n)
| ~ sum(b,c,d)
| ~ product(a,d,additive_identity)
| ~ product(a,b,l)
| sum(l,n,additive_identity) ),
inference(extension,[status(thm),parent(t1:1)],[distributivity1]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ product(b,a,l)
| product(a,b,l) ),
inference(extension,[status(thm),parent(t2:2)],[product_symmetry]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
product(b,a,l),
inference(extension,[status(thm),parent(t4:2)],[b_plus_a]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ product(d,a,additive_identity)
| product(a,d,additive_identity) ),
inference(extension,[status(thm),parent(t2:3)],[product_symmetry]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
product(d,a,additive_identity),
inference(extension,[status(thm),parent(t8:2)],[d_plus_a]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
sum(b,c,d),
inference(extension,[status(thm),parent(t2:4)],[b_plus_c]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:4]) ).
cnf(t14,plain,
( ~ product(c,a,n)
| product(a,c,n) ),
inference(extension,[status(thm),parent(t2:5)],[product_symmetry]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:5]) ).
cnf(t16,plain,
product(c,a,n),
inference(extension,[status(thm),parent(t14:2)],[c_plus_a]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN 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
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 20:44:27 UTC 2026
% 0.08/0.35 % CPUTime :
% 29.95/30.21 % SZS status Unsatisfiable for theBenchmark
% 29.95/30.21 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------