TSTP Solution File: KLE060+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 : Tue Apr 30 20:24:18 EDT 2024
% Result : Theorem 7.09s 1.28s
% Output : CNFRefutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 74 unt; 0 def)
% Number of atoms : 74 ( 73 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 130 ( 128 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f35,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f36,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f37,plain,
! [X0] : addition(domain(X0),one) = one,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f39,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f40,plain,
? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1)),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
domain(multiplication(domain(sk0_0),sk0_1)) != multiplication(domain(sk0_0),domain(sk0_1)),
inference(skolemization,[status(esa)],[f40]) ).
fof(f42,plain,
domain(multiplication(domain(sk0_0),sk0_1)) != multiplication(domain(sk0_0),domain(sk0_1)),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0] : addition(one,domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f20,f37]) ).
fof(f47,plain,
! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),X2)) = domain(multiplication(X0,multiplication(X1,domain(X2)))),
inference(paramodulation,[status(thm)],[f24,f36]) ).
fof(f48,plain,
! [X0,X1,X2] : domain(multiplication(X0,multiplication(X1,X2))) = domain(multiplication(X0,multiplication(X1,domain(X2)))),
inference(forward_demodulation,[status(thm)],[f24,f47]) ).
fof(f65,plain,
! [X0,X1,X2] : addition(multiplication(X0,multiplication(X1,domain(X2))),multiplication(domain(multiplication(X0,multiplication(X1,X2))),multiplication(X0,multiplication(X1,domain(X2))))) = multiplication(domain(multiplication(X0,multiplication(X1,domain(X2)))),multiplication(X0,multiplication(X1,domain(X2)))),
inference(paramodulation,[status(thm)],[f48,f35]) ).
fof(f66,plain,
! [X0,X1,X2] : addition(multiplication(X0,multiplication(X1,domain(X2))),multiplication(domain(multiplication(X0,multiplication(X1,X2))),multiplication(X0,multiplication(X1,domain(X2))))) = multiplication(domain(multiplication(X0,multiplication(X1,X2))),multiplication(X0,multiplication(X1,domain(X2)))),
inference(forward_demodulation,[status(thm)],[f48,f65]) ).
fof(f1060,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(paramodulation,[status(thm)],[f25,f35]) ).
fof(f1061,plain,
one = multiplication(domain(one),one),
inference(forward_demodulation,[status(thm)],[f43,f1060]) ).
fof(f1062,plain,
one = domain(one),
inference(forward_demodulation,[status(thm)],[f25,f1061]) ).
fof(f1101,plain,
! [X0,X1] : addition(multiplication(one,multiplication(X0,domain(X1))),multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
inference(paramodulation,[status(thm)],[f26,f66]) ).
fof(f1102,plain,
! [X0,X1] : multiplication(addition(one,domain(multiplication(one,multiplication(X0,X1)))),multiplication(X0,domain(X1))) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
inference(forward_demodulation,[status(thm)],[f28,f1101]) ).
fof(f1103,plain,
! [X0,X1] : multiplication(one,multiplication(X0,domain(X1))) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
inference(forward_demodulation,[status(thm)],[f43,f1102]) ).
fof(f1104,plain,
! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(one,multiplication(X0,X1))),multiplication(one,multiplication(X0,domain(X1)))),
inference(forward_demodulation,[status(thm)],[f26,f1103]) ).
fof(f1105,plain,
! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(one,multiplication(X0,domain(X1)))),
inference(forward_demodulation,[status(thm)],[f26,f1104]) ).
fof(f1106,plain,
! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f26,f1105]) ).
fof(f1189,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(paramodulation,[status(thm)],[f26,f36]) ).
fof(f1190,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[status(thm)],[f26,f1189]) ).
fof(f1964,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f27]) ).
fof(f1965,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(forward_demodulation,[status(thm)],[f27,f1964]) ).
fof(f1996,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f1997,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(X0,multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f20,f1996]) ).
fof(f2026,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f3253,plain,
! [X0] : multiplication(X0,domain(one)) = multiplication(domain(X0),multiplication(X0,domain(one))),
inference(paramodulation,[status(thm)],[f25,f1106]) ).
fof(f3254,plain,
! [X0] : multiplication(X0,one) = multiplication(domain(X0),multiplication(X0,domain(one))),
inference(forward_demodulation,[status(thm)],[f1062,f3253]) ).
fof(f3255,plain,
! [X0] : X0 = multiplication(domain(X0),multiplication(X0,domain(one))),
inference(forward_demodulation,[status(thm)],[f25,f3254]) ).
fof(f3256,plain,
! [X0] : X0 = multiplication(domain(X0),multiplication(X0,one)),
inference(forward_demodulation,[status(thm)],[f1062,f3255]) ).
fof(f3257,plain,
! [X0] : X0 = multiplication(domain(X0),X0),
inference(forward_demodulation,[status(thm)],[f25,f3256]) ).
fof(f3476,plain,
! [X0,X1] : multiplication(domain(X0),addition(X1,X0)) = addition(multiplication(domain(X0),X1),X0),
inference(paramodulation,[status(thm)],[f3257,f27]) ).
fof(f3477,plain,
! [X0,X1] : multiplication(domain(X0),addition(X1,X0)) = addition(X0,multiplication(domain(X0),X1)),
inference(forward_demodulation,[status(thm)],[f20,f3476]) ).
fof(f3770,plain,
! [X0,X1] : multiplication(domain(domain(X0)),domain(addition(X1,X0))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(paramodulation,[status(thm)],[f39,f3477]) ).
fof(f3771,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))),
inference(forward_demodulation,[status(thm)],[f1190,f3770]) ).
fof(f3772,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(forward_demodulation,[status(thm)],[f1190,f3771]) ).
fof(f3773,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = multiplication(domain(X0),addition(domain(X1),one)),
inference(forward_demodulation,[status(thm)],[f1997,f3772]) ).
fof(f3774,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = multiplication(domain(X0),addition(one,domain(X1))),
inference(forward_demodulation,[status(thm)],[f1965,f3773]) ).
fof(f3775,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = multiplication(domain(X0),one),
inference(forward_demodulation,[status(thm)],[f43,f3774]) ).
fof(f3776,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X1,X0))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f25,f3775]) ).
fof(f3948,plain,
! [X0,X1] : domain(multiplication(domain(X0),addition(X1,X0))) = domain(domain(X0)),
inference(paramodulation,[status(thm)],[f3776,f36]) ).
fof(f3949,plain,
! [X0,X1] : domain(addition(X0,multiplication(domain(X0),X1))) = domain(domain(X0)),
inference(forward_demodulation,[status(thm)],[f3477,f3948]) ).
fof(f3950,plain,
! [X0,X1] : domain(addition(X0,multiplication(domain(X0),X1))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f1190,f3949]) ).
fof(f6772,plain,
! [X0,X1] : multiplication(one,X0) = addition(X0,multiplication(domain(X1),X0)),
inference(paramodulation,[status(thm)],[f43,f2026]) ).
fof(f6773,plain,
! [X0,X1] : X0 = addition(X0,multiplication(domain(X1),X0)),
inference(forward_demodulation,[status(thm)],[f26,f6772]) ).
fof(f7132,plain,
! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),domain(X1)) = domain(multiplication(domain(X0),X1)),
inference(paramodulation,[status(thm)],[f6773,f3776]) ).
fof(f7133,plain,
! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = addition(multiplication(domain(X0),X1),multiplication(domain(multiplication(domain(X0),X1)),X1)),
inference(paramodulation,[status(thm)],[f6773,f3477]) ).
fof(f7134,plain,
! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = multiplication(addition(domain(X0),domain(multiplication(domain(X0),X1))),X1),
inference(forward_demodulation,[status(thm)],[f28,f7133]) ).
fof(f7135,plain,
! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = multiplication(domain(addition(X0,multiplication(domain(X0),X1))),X1),
inference(forward_demodulation,[status(thm)],[f39,f7134]) ).
fof(f7136,plain,
! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),X1) = multiplication(domain(X0),X1),
inference(forward_demodulation,[status(thm)],[f3950,f7135]) ).
fof(f7687,plain,
! [X0,X1] : multiplication(domain(multiplication(domain(X0),X1)),domain(X1)) = multiplication(domain(X0),domain(X1)),
inference(paramodulation,[status(thm)],[f36,f7136]) ).
fof(f7688,plain,
! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(forward_demodulation,[status(thm)],[f7132,f7687]) ).
fof(f7946,plain,
multiplication(domain(sk0_0),domain(sk0_1)) != multiplication(domain(sk0_0),domain(sk0_1)),
inference(backward_demodulation,[status(thm)],[f7688,f42]) ).
fof(f7947,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7946]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:54:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 7.09/1.28 % Refutation found
% 7.09/1.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.09/1.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.25/1.32 % Elapsed time: 0.966077 seconds
% 7.25/1.32 % CPU time: 7.455397 seconds
% 7.25/1.32 % Total memory used: 154.713 MB
% 7.25/1.32 % Net memory used: 153.291 MB
%------------------------------------------------------------------------------