%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO013-1 : 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 : n028.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 10:39:58 AM UTC 2025
% Result : Unsatisfiable 5.98s 1.11s
% Output : CNFRefutation 5.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sum_to_multiplicative_identity1)
% Comments :
%------------------------------------------------------------------------------
cnf(22,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)],[22]) ).
cnf(11,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X0,X6,X3)
| ~ product(X1,X6,X4)
| product(X2,X6,X5) ),
inference(cnf,[status(esa)],[distributivity4]) ).
cnf(l1,plain,
( ~ sum(x,y,multiplicative_identity)
| ~ sum(additive_identity,multiply(z,y),y)
| ~ product(x,z,additive_identity)
| ~ product(y,z,multiply(z,y))
| product(multiplicative_identity,z,y) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(25,plain,
product(x,z,additive_identity),
inference(cnf,[status(esa)],[product_to_additive_identity2]) ).
cnf(l23,plain,
product(x,z,additive_identity),
inference(instantiation,[status(thm)],[25]) ).
cnf(21,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[multiplication_is_well_defined]) ).
cnf(l6,plain,
( ~ product(multiplicative_identity,z,y)
| ~ product(multiplicative_identity,z,z)
| y = z ),
inference(instantiation,[status(thm)],[21]) ).
cnf(26,plain,
y != z,
inference(cnf,[status(esa)],[prove_both_inverse_are_equal]) ).
cnf(l9,plain,
y != z,
inference(instantiation,[status(thm)],[26]) ).
cnf(6,plain,
product(multiplicative_identity,X0,X0),
inference(cnf,[status(esa)],[multiplicative_identity1]) ).
cnf(l10,plain,
product(multiplicative_identity,z,z),
inference(instantiation,[status(thm)],[6]) ).
cnf(10,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X3,X6)
| sum(X4,X5,X6) ),
inference(cnf,[status(esa)],[distributivity3]) ).
cnf(l15,plain,
( ~ sum(x,z,multiplicative_identity)
| ~ product(x,y,additive_identity)
| ~ product(z,y,multiply(z,y))
| ~ product(multiplicative_identity,y,y)
| sum(additive_identity,multiply(z,y),y) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l18,plain,
product(multiplicative_identity,y,y),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_of_multiplication]) ).
cnf(l2,plain,
( ~ product(z,y,multiply(z,y))
| product(y,z,multiply(z,y)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[closure_of_multiplication]) ).
cnf(l17,plain,
product(z,y,multiply(z,y)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
product(z,y,multiply(z,y)),
inference(instantiation,[status(thm)],[1]) ).
cnf(24,plain,
product(x,y,additive_identity),
inference(cnf,[status(esa)],[product_to_additive_identity1]) ).
cnf(l16,plain,
product(x,y,additive_identity),
inference(instantiation,[status(thm)],[24]) ).
cnf(23,plain,
sum(x,z,multiplicative_identity),
inference(cnf,[status(esa)],[sum_to_multiplicative_identity2]) ).
cnf(l19,plain,
sum(x,z,multiplicative_identity),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l23,l6,l9,l10,l15,l18,l2,l17,l4,l16,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO013-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 04:41:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 5.98/1.11 % SZS status Theorem for theBenchmark
% 5.98/1.11 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------