TSTP Solution File: LCL155-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Wed May 31 12:18:25 EDT 2023
% Result : Unsatisfiable 0.17s 0.42s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : or(X,Y) = implies(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : or(X,Y) = or(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : and(X,Y) = not(or(not(X),not(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : and(X,Y) = and(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : xor(X,Y) = or(and(X,not(Y)),and(not(X),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
xor(x,x) != falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0,X1] : or(X0,X1) = or(X1,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f33,plain,
not(truth) = falsehood,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
xor(x,x) != falsehood,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f50,plain,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(X1,not(X0))),
inference(paramodulation,[status(thm)],[f27,f28]) ).
fof(f106,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f33,f22]) ).
fof(f107,plain,
! [X0] : or(X0,truth) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f24,f106]) ).
fof(f116,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f119,plain,
! [X0] : or(X0,not(X0)) = implies(implies(not(X0),truth),truth),
inference(paramodulation,[status(thm)],[f22,f116]) ).
fof(f120,plain,
! [X0] : or(X0,not(X0)) = implies(or(X0,truth),truth),
inference(forward_demodulation,[status(thm)],[f22,f119]) ).
fof(f121,plain,
! [X0] : or(X0,not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[status(thm)],[f107,f120]) ).
fof(f303,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f304,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f303]) ).
fof(f329,plain,
! [X0,X1] : implies(or(X0,not(X1)),implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f22,f21]) ).
fof(f331,plain,
! [X0] : implies(implies(falsehood,not(X0)),implies(X0,truth)) = truth,
inference(paramodulation,[status(thm)],[f106,f329]) ).
fof(f335,plain,
! [X0] : implies(or(X0,falsehood),implies(truth,X0)) = truth,
inference(paramodulation,[status(thm)],[f33,f329]) ).
fof(f336,plain,
! [X0] : implies(or(X0,falsehood),X0) = truth,
inference(forward_demodulation,[status(thm)],[f18,f335]) ).
fof(f452,plain,
implies(implies(falsehood,falsehood),implies(truth,truth)) = truth,
inference(paramodulation,[status(thm)],[f33,f331]) ).
fof(f453,plain,
implies(implies(falsehood,falsehood),truth) = truth,
inference(forward_demodulation,[status(thm)],[f18,f452]) ).
fof(f454,plain,
or(falsehood,not(falsehood)) = truth,
inference(forward_demodulation,[status(thm)],[f121,f453]) ).
fof(f474,plain,
implies(truth,implies(falsehood,falsehood)) = truth,
inference(paramodulation,[status(thm)],[f454,f329]) ).
fof(f475,plain,
implies(falsehood,falsehood) = truth,
inference(forward_demodulation,[status(thm)],[f18,f474]) ).
fof(f496,plain,
! [X0] : implies(implies(X0,falsehood),implies(truth,implies(X0,falsehood))) = truth,
inference(paramodulation,[status(thm)],[f475,f19]) ).
fof(f497,plain,
! [X0] : implies(implies(X0,falsehood),implies(X0,falsehood)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f496]) ).
fof(f522,plain,
! [X0] : implies(implies(X0,X0),truth) = truth,
inference(paramodulation,[status(thm)],[f497,f19]) ).
fof(f670,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f304]) ).
fof(f671,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f18,f670]) ).
fof(f689,plain,
! [X0] : implies(implies(X0,truth),implies(implies(X0,X0),truth)) = truth,
inference(paramodulation,[status(thm)],[f116,f304]) ).
fof(f690,plain,
! [X0] : implies(implies(X0,truth),truth) = truth,
inference(forward_demodulation,[status(thm)],[f522,f689]) ).
fof(f722,plain,
! [X0] : or(X0,not(X0)) = truth,
inference(paramodulation,[status(thm)],[f22,f671]) ).
fof(f777,plain,
! [X0] : and(X0,not(X0)) = not(truth),
inference(paramodulation,[status(thm)],[f722,f25]) ).
fof(f778,plain,
! [X0] : and(X0,not(X0)) = falsehood,
inference(forward_demodulation,[status(thm)],[f33,f777]) ).
fof(f830,plain,
! [X0] : xor(X0,X0) = or(and(X0,not(X0)),falsehood),
inference(paramodulation,[status(thm)],[f778,f50]) ).
fof(f831,plain,
! [X0] : xor(X0,X0) = or(falsehood,and(X0,not(X0))),
inference(forward_demodulation,[status(thm)],[f24,f830]) ).
fof(f832,plain,
! [X0] : xor(X0,X0) = or(falsehood,falsehood),
inference(forward_demodulation,[status(thm)],[f778,f831]) ).
fof(f864,plain,
or(falsehood,falsehood) != falsehood,
inference(backward_demodulation,[status(thm)],[f832,f34]) ).
fof(f937,plain,
! [X0] : implies(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f690,f304]) ).
fof(f959,plain,
! [X0] : or(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f22,f937]) ).
fof(f960,plain,
! [X0] : implies(falsehood,X0) = truth,
inference(forward_demodulation,[status(thm)],[f107,f959]) ).
fof(f1001,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f960,f20]) ).
fof(f1002,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = X0,
inference(forward_demodulation,[status(thm)],[f18,f1001]) ).
fof(f1295,plain,
implies(truth,falsehood) = or(falsehood,falsehood),
inference(paramodulation,[status(thm)],[f336,f1002]) ).
fof(f1296,plain,
falsehood = or(falsehood,falsehood),
inference(forward_demodulation,[status(thm)],[f18,f1295]) ).
fof(f1297,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1296,f864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n031.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 10:07:37 EDT 2023
% 0.17/0.32 % CPUTime :
% 0.17/0.33 % Drodi V3.5.1
% 0.17/0.42 % Refutation found
% 0.17/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.44 % Elapsed time: 0.115436 seconds
% 0.17/0.44 % CPU time: 0.260578 seconds
% 0.17/0.44 % Memory used: 6.743 MB
%------------------------------------------------------------------------------