%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG006-1 : 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 : n018.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 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_times_bS_Ic_is_aPb_S__IaPc)
% Comments :
%------------------------------------------------------------------------------
cnf(24,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)],[24]) ).
cnf(12,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(aPb,additive_inverse(aPc),aPb_S_IaPc)
| ~ product(a,b,aPb)
| ~ product(a,additive_inverse(c),additive_inverse(aPc))
| product(a,bS_Ic,aPb_S_IaPc) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(21,plain,
product(a,b,aPb),
inference(cnf,[status(esa)],[a_times_b]) ).
cnf(l4,plain,
product(a,b,aPb),
inference(instantiation,[status(thm)],[21]) ).
cnf(17,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)],[17]) ).
cnf(23,plain,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(cnf,[status(esa)],[aPb_plus_IaPc]) ).
cnf(l3,plain,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(instantiation,[status(thm)],[23]) ).
cnf(20,plain,
sum(b,additive_inverse(c),bS_Ic),
inference(cnf,[status(esa)],[b_plus_inverse_c]) ).
cnf(l2,plain,
sum(b,additive_inverse(c),bS_Ic),
inference(instantiation,[status(thm)],[20]) ).
cnf(22,plain,
product(a,c,aPc),
inference(cnf,[status(esa)],[a_times_c]) ).
cnf(l18,plain,
product(a,c,aPc),
inference(instantiation,[status(thm)],[22]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l17,l3,l2,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG006-1 : 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
% 0.13/0.33 % Computer : n018.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 17:20:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 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
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------