TSTP Solution File: BOO003-4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:12:50 EDT 2024
% Result : Unsatisfiable 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
multiply(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
multiply(a,a) != a,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f19,plain,
! [X0] : X0 = multiply(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f29,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(paramodulation,[status(thm)],[f14,f10]) ).
fof(f46,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f55,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f57,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f15,f55]) ).
fof(f66,plain,
! [X0] : add(X0,multiplicative_identity) = add(X0,inverse(X0)),
inference(paramodulation,[status(thm)],[f19,f57]) ).
fof(f98,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f132,plain,
! [X0] : add(X0,multiplicative_identity) = multiplicative_identity,
inference(paramodulation,[status(thm)],[f16,f66]) ).
fof(f155,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f10,f132]) ).
fof(f196,plain,
! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f98]) ).
fof(f219,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f155,f196]) ).
fof(f220,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f219]) ).
fof(f231,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(paramodulation,[status(thm)],[f29,f220]) ).
fof(f324,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f11,f46]) ).
fof(f335,plain,
! [X0] : add(X0,multiply(additive_identity,additive_identity)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f14,f324]) ).
fof(f355,plain,
! [X0] : add(X0,additive_identity) = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f231,f335]) ).
fof(f356,plain,
! [X0] : X0 = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f14,f355]) ).
fof(f357,plain,
$false,
inference(resolution,[status(thm)],[f356,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:06:18 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28 % Elapsed time: 0.012025 seconds
% 0.07/0.28 % CPU time: 0.034075 seconds
% 0.07/0.28 % Total memory used: 3.513 MB
% 0.07/0.28 % Net memory used: 3.492 MB
%------------------------------------------------------------------------------