%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG006-2 : 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 : 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 1.88s 0.54s
% Output : CNFRefutation 1.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_times_bS_Ic_is_aPb_S__IaPc)
% Comments :
%------------------------------------------------------------------------------
cnf(35,plain,
~ product(a,bS_Ic,aPb_S_IaPc),
inference(cnf,[status(esa)],[prove_a_times_bS_Ic_is_aPb_S__IaPc]) ).
cnf(l0,plain,
~ product(a,bS_Ic,aPb_S_IaPc),
inference(instantiation,[status(thm)],[35]) ).
cnf(21,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X6,X0,X3)
| ~ product(X6,X1,X4)
| product(X6,X2,X5) ),
inference(cnf,[status(esa)],[distributivity2]) ).
cnf(l1,plain,
( ~ sum(b,additive_inverse(c),bS_Ic)
| ~ sum(add(additive_identity,aPb),additive_inverse(aPc),aPb_S_IaPc)
| ~ product(a,b,add(additive_identity,aPb))
| ~ product(a,additive_inverse(c),additive_inverse(aPc))
| product(a,bS_Ic,aPb_S_IaPc) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(23,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(l2,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(additive_identity,aPb,add(additive_identity,aPb))
| ~ product(additive_identity,b,additive_identity)
| ~ product(a,b,aPb)
| product(a,b,add(additive_identity,aPb)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(9,plain,
sum(additive_identity,X0,X0),
inference(cnf,[status(esa)],[additive_identity1]) ).
cnf(l5,plain,
sum(additive_identity,a,a),
inference(instantiation,[status(thm)],[9]) ).
cnf(26,plain,
product(additive_identity,X0,additive_identity),
inference(cnf,[status(esa)],[multiplicative_identity1]) ).
cnf(l15,plain,
product(additive_identity,b,additive_identity),
inference(instantiation,[status(thm)],[26]) ).
cnf(12,plain,
sum(X0,X1,add(X0,X1)),
inference(cnf,[status(esa)],[closure_of_addition]) ).
cnf(l7,plain,
sum(additive_identity,aPb,add(additive_identity,aPb)),
inference(instantiation,[status(thm)],[12]) ).
cnf(32,plain,
product(a,b,aPb),
inference(cnf,[status(esa)],[a_times_b]) ).
cnf(l16,plain,
product(a,b,aPb),
inference(instantiation,[status(thm)],[32]) ).
cnf(28,plain,
( ~ product(X0,X1,X2)
| product(X0,additive_inverse(X1),additive_inverse(X2)) ),
inference(cnf,[status(esa)],[product_lemma1]) ).
cnf(l17,plain,
( ~ product(a,c,aPc)
| product(a,additive_inverse(c),additive_inverse(aPc)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(33,plain,
product(a,c,aPc),
inference(cnf,[status(esa)],[a_times_c]) ).
cnf(l18,plain,
product(a,c,aPc),
inference(instantiation,[status(thm)],[33]) ).
cnf(16,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(l3,plain,
( ~ sum(additive_identity,aPb,add(additive_identity,aPb))
| ~ sum(additive_identity,aPb_S_IaPc,aPb_S_IaPc)
| ~ sum(aPb,additive_inverse(aPc),aPb_S_IaPc)
| sum(add(additive_identity,aPb),additive_inverse(aPc),aPb_S_IaPc) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l6,plain,
sum(additive_identity,aPb_S_IaPc,aPb_S_IaPc),
inference(instantiation,[status(thm)],[9]) ).
cnf(l8,plain,
sum(additive_identity,aPb,add(additive_identity,aPb)),
inference(instantiation,[status(thm)],[12]) ).
cnf(31,plain,
sum(b,additive_inverse(c),bS_Ic),
inference(cnf,[status(esa)],[b_plus_inverse_c]) ).
cnf(l4,plain,
sum(b,additive_inverse(c),bS_Ic),
inference(instantiation,[status(thm)],[31]) ).
cnf(34,plain,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(cnf,[status(esa)],[aPb_plus_IaPc]) ).
cnf(l12,plain,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(instantiation,[status(thm)],[34]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l15,l7,l16,l17,l18,l3,l6,l8,l4,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : RNG006-2 : TPTP v9.0.0. Released v1.0.0.
% 0.05/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Computer : n019.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Jul 21 17:20:49 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % launching worker at depth: 1
% 0.10/0.31 % launching worker at depth: 6
% 0.10/0.31 % launching worker at depth: 3
% 0.10/0.31 % launching worker at depth: 4
% 0.10/0.31 % launching worker at depth: 5
% 0.10/0.31 % launching worker at depth: 7
% 0.10/0.31 % launching worker at depth: 2
% 0.10/0.31 % launching worker at depth: 8
% 0.10/0.31 % launching worker at depth: 9
% 0.10/0.31 % launching worker at depth: 10
% 1.88/0.54 % SZS status Theorem for theBenchmark
% 1.88/0.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------