%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG040-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 03:02:43 PM UTC 2025
% Result : Unsatisfiable 10.04s 1.60s
% Output : CNFRefutation 10.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named b_plus_c)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
sum(b,c,d),
inference(cnf,[status(esa)],[b_plus_c]) ).
cnf(l0,plain,
sum(b,c,d),
inference(instantiation,[status(thm)],[20]) ).
cnf(11,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(l1,plain,
( ~ sum(b,c,d)
| ~ product(a,b,l)
| ~ product(a,c,n)
| ~ product(a,d,additive_identity)
| sum(l,n,additive_identity) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(19,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[product_symmetry]) ).
cnf(l2,plain,
( ~ product(c,a,n)
| product(a,c,n) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l21,plain,
( ~ product(b,a,l)
| product(a,b,l) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l12,plain,
( ~ product(d,a,additive_identity)
| product(a,d,additive_identity) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(22,plain,
product(b,a,l),
inference(cnf,[status(esa)],[b_plus_a]) ).
cnf(l25,plain,
product(b,a,l),
inference(instantiation,[status(thm)],[22]) ).
cnf(23,plain,
product(c,a,n),
inference(cnf,[status(esa)],[c_plus_a]) ).
cnf(l7,plain,
product(c,a,n),
inference(instantiation,[status(thm)],[23]) ).
cnf(21,plain,
product(d,a,additive_identity),
inference(cnf,[status(esa)],[d_plus_a]) ).
cnf(l13,plain,
product(d,a,additive_identity),
inference(instantiation,[status(thm)],[21]) ).
cnf(24,plain,
~ sum(l,n,additive_identity),
inference(cnf,[status(esa)],[prove_equation]) ).
cnf(l14,plain,
~ sum(l,n,additive_identity),
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l21,l12,l25,l7,l13,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG040-2 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 17:40:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 10.04/1.60 % SZS status Theorem for theBenchmark
% 10.04/1.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------