%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG004-3 : 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 : n019.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 03:02:36 PM UTC 2025
% Result : Unsatisfiable 16.53s 2.43s
% Output : CNFRefutation 16.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_c_equals_d)
% Comments :
%------------------------------------------------------------------------------
cnf(33,plain,
~ equalish(c,d),
inference(cnf,[status(esa)],[prove_c_equals_d]) ).
cnf(l0,plain,
~ equalish(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(27,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[addition_is_well_defined]) ).
cnf(l1,plain,
( ~ sum(additive_identity,d,c)
| ~ sum(additive_identity,d,d)
| equalish(c,d) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(7,plain,
( ~ sum(X0,X1,X2)
| ~ equalish(X2,X3)
| sum(X0,X1,X3) ),
inference(cnf,[status(esa)],[sum_substitution3]) ).
cnf(l2,plain,
( ~ sum(additive_identity,d,add(add(c,additive_identity),additive_identity))
| ~ equalish(add(add(c,additive_identity),additive_identity),c)
| sum(additive_identity,d,c) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(2,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity]) ).
cnf(l59,plain,
( ~ equalish(add(add(c,additive_identity),additive_identity),add(c,additive_identity))
| ~ equalish(add(c,additive_identity),c)
| equalish(add(add(c,additive_identity),additive_identity),c) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l61,plain,
( ~ sum(c,additive_identity,add(c,additive_identity))
| ~ sum(c,additive_identity,c)
| equalish(add(c,additive_identity),c) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l60,plain,
( ~ sum(add(c,additive_identity),additive_identity,add(add(c,additive_identity),additive_identity))
| ~ sum(add(c,additive_identity),additive_identity,add(c,additive_identity))
| equalish(add(add(c,additive_identity),additive_identity),add(c,additive_identity)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(12,plain,
sum(additive_identity,X0,X0),
inference(cnf,[status(esa)],[additive_identity1]) ).
cnf(l3,plain,
sum(additive_identity,d,d),
inference(instantiation,[status(thm)],[12]) ).
cnf(13,plain,
sum(X0,additive_identity,X0),
inference(cnf,[status(esa)],[additive_identity2]) ).
cnf(l64,plain,
sum(add(c,additive_identity),additive_identity,add(c,additive_identity)),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
sum(X0,X1,add(X0,X1)),
inference(cnf,[status(esa)],[closure_of_addition]) ).
cnf(l68,plain,
sum(add(c,additive_identity),additive_identity,add(add(c,additive_identity),additive_identity)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l95,plain,
sum(c,additive_identity,add(c,additive_identity)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l85,plain,
sum(c,additive_identity,c),
inference(instantiation,[status(thm)],[13]) ).
cnf(19,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_of_addition2]) ).
cnf(l63,plain,
( ~ sum(c,multiply(a,additive_inverse(b)),additive_identity)
| ~ sum(c,additive_identity,add(add(c,additive_identity),additive_identity))
| ~ sum(multiply(a,additive_inverse(b)),d,additive_identity)
| sum(additive_identity,d,add(add(c,additive_identity),additive_identity)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(18,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_of_addition1]) ).
cnf(l67,plain,
( ~ sum(c,additive_identity,add(c,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(add(c,additive_identity),additive_identity,add(add(c,additive_identity),additive_identity))
| sum(c,additive_identity,add(add(c,additive_identity),additive_identity)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l71,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[12]) ).
cnf(23,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(l65,plain,
( ~ sum(b,additive_inverse(b),additive_identity)
| ~ product(a,b,c)
| ~ product(a,additive_inverse(b),multiply(a,additive_inverse(b)))
| ~ product(a,additive_identity,additive_identity)
| sum(c,multiply(a,additive_inverse(b)),additive_identity) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(17,plain,
sum(X0,additive_inverse(X0),additive_identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l70,plain,
sum(b,additive_inverse(b),additive_identity),
inference(instantiation,[status(thm)],[17]) ).
cnf(14,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[closure_of_multiplication]) ).
cnf(l73,plain,
product(a,additive_inverse(b),multiply(a,additive_inverse(b))),
inference(instantiation,[status(thm)],[14]) ).
cnf(l69,plain,
sum(c,additive_identity,add(c,additive_identity)),
inference(instantiation,[status(thm)],[15]) ).
cnf(30,plain,
product(X0,additive_identity,additive_identity),
inference(cnf,[status(esa)],[multiplicative_identity2]) ).
cnf(l74,plain,
product(a,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[30]) ).
cnf(31,plain,
product(a,b,c),
inference(cnf,[status(esa)],[a_times_b]) ).
cnf(l72,plain,
product(a,b,c),
inference(instantiation,[status(thm)],[31]) ).
cnf(l78,plain,
sum(add(c,additive_identity),additive_identity,add(add(c,additive_identity),additive_identity)),
inference(instantiation,[status(thm)],[15]) ).
cnf(25,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(l75,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ product(a,additive_inverse(b),multiply(a,additive_inverse(b)))
| ~ product(additive_inverse(a),additive_inverse(b),d)
| ~ product(additive_identity,additive_inverse(b),additive_identity)
| sum(multiply(a,additive_inverse(b)),d,additive_identity) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(32,plain,
product(additive_inverse(a),additive_inverse(b),d),
inference(cnf,[status(esa)],[a_inverse_times_b_inverse]) ).
cnf(l80,plain,
product(additive_inverse(a),additive_inverse(b),d),
inference(instantiation,[status(thm)],[32]) ).
cnf(29,plain,
product(additive_identity,X0,additive_identity),
inference(cnf,[status(esa)],[multiplicative_identity1]) ).
cnf(l79,plain,
product(additive_identity,additive_inverse(b),additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(l76,plain,
product(a,additive_inverse(b),multiply(a,additive_inverse(b))),
inference(instantiation,[status(thm)],[14]) ).
cnf(l77,plain,
sum(a,additive_inverse(a),additive_identity),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l59,l61,l60,l3,l64,l68,l95,l85,l63,l67,l71,l65,l70,l73,l69,l74,l72,l78,l75,l80,l79,l76,l77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG004-3 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 17:19:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 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
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.53 % launching worker at depth: 11
% 16.53/2.43 % SZS status Theorem for theBenchmark
% 16.53/2.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------