%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO013-3 : 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 : n021.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 : Thu Jul 24 10:39:59 AM UTC 2025
% Result : Unsatisfiable 8.41s 1.39s
% Output : CNFRefutation 8.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sum_to_multiplicative_identity1)
% Comments :
%------------------------------------------------------------------------------
cnf(23,plain,
sum(x,y,multiplicative_identity),
inference(cnf,[status(esa)],[sum_to_multiplicative_identity1]) ).
cnf(l0,plain,
sum(x,y,multiplicative_identity),
inference(instantiation,[status(thm)],[23]) ).
cnf(15,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ product(X2,X4,X6)
| sum(X5,X1,X6) ),
inference(cnf,[status(esa)],[distributivity8]) ).
cnf(l1,plain,
( ~ sum(x,y,multiplicative_identity)
| ~ sum(z,y,add(y,z))
| ~ product(x,z,additive_identity)
| ~ product(multiplicative_identity,add(y,z),z)
| sum(additive_identity,y,z) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(26,plain,
product(x,z,additive_identity),
inference(cnf,[status(esa)],[product_to_additive_identity2]) ).
cnf(l21,plain,
product(x,z,additive_identity),
inference(instantiation,[status(thm)],[26]) ).
cnf(20,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[addition_is_well_defined]) ).
cnf(l6,plain,
( ~ sum(additive_identity,y,y)
| ~ sum(additive_identity,y,z)
| y = z ),
inference(instantiation,[status(thm)],[20]) ).
cnf(4,plain,
sum(additive_identity,X0,X0),
inference(cnf,[status(esa)],[additive_identity1]) ).
cnf(l11,plain,
sum(additive_identity,y,y),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_of_addition]) ).
cnf(l17,plain,
( ~ sum(y,z,add(y,z))
| sum(z,y,add(y,z)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(14,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ sum(X5,X1,X6)
| ~ product(X0,X3,X5)
| product(X2,X4,X6) ),
inference(cnf,[status(esa)],[distributivity7]) ).
cnf(l2,plain,
( ~ sum(x,z,multiplicative_identity)
| ~ sum(y,z,add(y,z))
| ~ sum(additive_identity,z,z)
| ~ product(x,y,additive_identity)
| product(multiplicative_identity,add(y,z),z) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(0,plain,
sum(X0,X1,add(X0,X1)),
inference(cnf,[status(esa)],[closure_of_addition]) ).
cnf(l26,plain,
sum(y,z,add(y,z)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
sum(additive_identity,z,z),
inference(instantiation,[status(thm)],[4]) ).
cnf(27,plain,
y != z,
inference(cnf,[status(esa)],[prove_both_inverse_are_equal]) ).
cnf(l9,plain,
y != z,
inference(instantiation,[status(thm)],[27]) ).
cnf(24,plain,
sum(x,z,multiplicative_identity),
inference(cnf,[status(esa)],[sum_to_multiplicative_identity2]) ).
cnf(l4,plain,
sum(x,z,multiplicative_identity),
inference(instantiation,[status(thm)],[24]) ).
cnf(l7,plain,
sum(y,z,add(y,z)),
inference(instantiation,[status(thm)],[0]) ).
cnf(25,plain,
product(x,y,additive_identity),
inference(cnf,[status(esa)],[product_to_additive_identity1]) ).
cnf(l5,plain,
product(x,y,additive_identity),
inference(instantiation,[status(thm)],[25]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l21,l6,l11,l17,l2,l26,l3,l9,l4,l7,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO013-3 : 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 : n021.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 : Sun Jul 20 04:42:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 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: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 8.41/1.39 % SZS status Theorem for theBenchmark
% 8.41/1.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------