%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG037-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:02:42 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_sum_is_additive_identity)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
~ sum(c,d,additive_identity),
inference(cnf,[status(esa)],[prove_sum_is_additive_identity]) ).
cnf(l0,plain,
~ sum(c,d,additive_identity),
inference(instantiation,[status(thm)],[28]) ).
cnf(15,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_of_addition]) ).
cnf(l1,plain,
( ~ sum(d,c,additive_identity)
| sum(c,d,additive_identity) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(18,plain,
( ~ sum(X0,X1,X2)
| ~ product(X3,X0,X4)
| ~ product(X3,X1,X5)
| ~ product(X3,X2,X6)
| sum(X4,X5,X6) ),
inference(cnf,[status(esa)],[distributivity1]) ).
cnf(l2,plain,
( ~ sum(b,additive_inverse(b),additive_identity)
| ~ product(a,b,d)
| ~ product(a,additive_inverse(b),c)
| ~ product(a,additive_identity,additive_identity)
| sum(d,c,additive_identity) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(27,plain,
product(a,additive_inverse(b),c),
inference(cnf,[status(esa)],[a_inverse_times_b]) ).
cnf(l4,plain,
product(a,additive_inverse(b),c),
inference(instantiation,[status(thm)],[27]) ).
cnf(25,plain,
product(X0,additive_identity,additive_identity),
inference(cnf,[status(esa)],[multiplicative_identity2]) ).
cnf(l6,plain,
product(a,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[25]) ).
cnf(12,plain,
sum(X0,additive_inverse(X0),additive_identity),
inference(cnf,[status(esa)],[additive_inverse2]) ).
cnf(l3,plain,
sum(b,additive_inverse(b),additive_identity),
inference(instantiation,[status(thm)],[12]) ).
cnf(26,plain,
product(a,b,d),
inference(cnf,[status(esa)],[a_times_b]) ).
cnf(l5,plain,
product(a,b,d),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l6,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG037-2 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 17:39:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------