TSTP Solution File: BOO008-4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO008-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:12:53 EDT 2024
% Result : Unsatisfiable 5.31s 1.03s
% Output : CNFRefutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 138 ( 138 !; 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(f8,axiom,
! [X] : multiply(X,inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
add(a,add(b,c)) != add(add(a,b),c),
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(f17,plain,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
add(a,add(b,c)) != add(add(a,b),c),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f19,plain,
add(add(b,c),a) != add(add(a,b),c),
inference(forward_demodulation,[status(thm)],[f10,f18]) ).
fof(f24,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f32,plain,
! [X0] : X0 = multiply(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f40,plain,
inverse(additive_identity) = multiplicative_identity,
inference(paramodulation,[status(thm)],[f24,f16]) ).
fof(f54,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f55,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f32,f54]) ).
fof(f57,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X0,X2)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f61,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f62,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f15,f61]) ).
fof(f64,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f75,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = multiply(multiplicative_identity,add(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f16,f57]) ).
fof(f76,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f10,f75]) ).
fof(f77,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = add(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f32,f76]) ).
fof(f87,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f14,f57]) ).
fof(f88,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f57]) ).
fof(f98,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f87]) ).
fof(f100,plain,
! [X0] : add(X0,multiply(additive_identity,additive_identity)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f24,f87]) ).
fof(f119,plain,
! [X0,X1] : add(X0,multiply(X1,multiply(additive_identity,additive_identity))) = multiply(add(X1,X0),multiply(X0,X0)),
inference(paramodulation,[status(thm)],[f100,f57]) ).
fof(f235,plain,
! [X0] : add(multiply(additive_identity,X0),multiplicative_identity) = add(inverse(additive_identity),X0),
inference(paramodulation,[status(thm)],[f40,f77]) ).
fof(f236,plain,
! [X0] : add(multiply(additive_identity,X0),multiplicative_identity) = add(multiplicative_identity,X0),
inference(forward_demodulation,[status(thm)],[f40,f235]) ).
fof(f368,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f15,f55]) ).
fof(f369,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f16,f368]) ).
fof(f397,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(backward_demodulation,[status(thm)],[f369,f236]) ).
fof(f485,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(paramodulation,[status(thm)],[f17,f62]) ).
fof(f486,plain,
! [X0] : X0 = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f14,f485]) ).
fof(f518,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f486,f64]) ).
fof(f519,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,multiply(X1,additive_identity)),
inference(forward_demodulation,[status(thm)],[f98,f518]) ).
fof(f520,plain,
! [X0] : add(X0,multiply(X0,additive_identity)) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f486,f87]) ).
fof(f546,plain,
! [X0,X1] : add(X0,multiply(X1,multiply(X0,additive_identity))) = multiply(add(X1,X0),multiply(X0,X0)),
inference(paramodulation,[status(thm)],[f520,f57]) ).
fof(f547,plain,
! [X0,X1] : add(X0,multiply(X1,multiply(X0,additive_identity))) = add(X0,multiply(X1,multiply(additive_identity,additive_identity))),
inference(forward_demodulation,[status(thm)],[f119,f546]) ).
fof(f829,plain,
! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f830,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f397,f829]) ).
fof(f831,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f830]) ).
fof(f869,plain,
! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f870,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f369,f869]) ).
fof(f871,plain,
! [X0,X1] : X0 = add(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f15,f870]) ).
fof(f916,plain,
! [X0] : X0 = multiply(X0,X0),
inference(backward_demodulation,[status(thm)],[f831,f520]) ).
fof(f918,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,additive_identity)),
inference(backward_demodulation,[status(thm)],[f831,f519]) ).
fof(f963,plain,
! [X0,X1] : add(X0,multiply(X1,multiply(X0,additive_identity))) = add(X0,multiply(X1,additive_identity)),
inference(backward_demodulation,[status(thm)],[f916,f547]) ).
fof(f964,plain,
! [X0,X1] : add(X0,multiply(X1,multiply(X0,additive_identity))) = X0,
inference(forward_demodulation,[status(thm)],[f918,f963]) ).
fof(f1224,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f916,f13]) ).
fof(f1225,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f871,f1224]) ).
fof(f1253,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(X0,X2))) = multiply(add(X1,X0),X0),
inference(paramodulation,[status(thm)],[f831,f57]) ).
fof(f1256,plain,
! [X0,X1,X2] : add(X0,multiply(X1,multiply(X0,X2))) = multiply(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f831,f12]) ).
fof(f1257,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = multiply(add(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f1253,f1256]) ).
fof(f1267,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
inference(backward_demodulation,[status(thm)],[f1253,f964]) ).
fof(f1268,plain,
! [X0,X1] : X0 = multiply(add(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f1267,f1257]) ).
fof(f1458,plain,
! [X0,X1,X2] : multiply(add(X0,X1),add(X2,X0)) = add(multiply(add(X0,X1),X2),X0),
inference(paramodulation,[status(thm)],[f1268,f13]) ).
fof(f1459,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = add(multiply(add(X0,X1),X2),X0),
inference(forward_demodulation,[status(thm)],[f64,f1458]) ).
fof(f7212,plain,
! [X0,X1,X2] : add(X0,multiply(X1,add(X2,X1))) = add(add(X1,multiply(X0,X2)),X0),
inference(paramodulation,[status(thm)],[f88,f1459]) ).
fof(f7213,plain,
! [X0,X1,X2] : add(X0,X1) = add(add(X1,multiply(X0,X2)),X0),
inference(forward_demodulation,[status(thm)],[f1225,f7212]) ).
fof(f7462,plain,
! [X0,X1,X2] : add(X0,X1) = add(X0,add(X1,multiply(X0,X2))),
inference(paramodulation,[status(thm)],[f10,f7213]) ).
fof(f7507,plain,
! [X0,X1,X2] : add(X0,X1) = add(add(multiply(X0,X2),X1),X0),
inference(paramodulation,[status(thm)],[f10,f7213]) ).
fof(f7758,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X0,X1),add(X2,X0)),
inference(paramodulation,[status(thm)],[f1268,f7462]) ).
fof(f8543,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X1,X2),add(X0,X1)),
inference(paramodulation,[status(thm)],[f1267,f7507]) ).
fof(f8544,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f7758,f8543]) ).
fof(f8545,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f19,f8544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO008-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Mon Apr 29 22:21:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 5.31/1.03 % Refutation found
% 5.31/1.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.31/1.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.31/1.05 % Elapsed time: 0.697913 seconds
% 5.31/1.05 % CPU time: 5.447855 seconds
% 5.31/1.05 % Total memory used: 97.137 MB
% 5.31/1.05 % Net memory used: 94.917 MB
%------------------------------------------------------------------------------