TSTP Solution File: LCL156-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed May 31 12:18:25 EDT 2023
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 13
% Syntax : Number of formulae : 81 ( 81 unt; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 112 (; 112 !; 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(f12,axiom,
! [X,Y] : xor(X,Y) = xor(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] : and_star(X,Y) = not(or(not(X),not(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,
and_star(x,truth) != x,
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(f29,plain,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0,X1] : and_star(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f33,plain,
not(truth) = falsehood,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
and_star(x,truth) != x,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f35,plain,
! [X0,X1] : and_star(X0,X1) = and(X0,X1),
inference(forward_demodulation,[status(thm)],[f25,f30]) ).
fof(f42,plain,
and(x,truth) != x,
inference(forward_demodulation,[status(thm)],[f35,f34]) ).
fof(f43,plain,
and(truth,x) != x,
inference(forward_demodulation,[status(thm)],[f27,f42]) ).
fof(f44,plain,
! [X0,X1] : implies(or(X0,not(X1)),implies(X1,X0)) = truth,
inference(backward_demodulation,[status(thm)],[f22,f21]) ).
fof(f47,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f48,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f47]) ).
fof(f52,plain,
! [X0,X1] : implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f56,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f33,f22]) ).
fof(f62,plain,
! [X0] : or(X0,truth) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f24,f56]) ).
fof(f73,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f84,plain,
! [X0,X1] : or(X0,implies(implies(not(X0),X1),X1)) = truth,
inference(paramodulation,[status(thm)],[f22,f48]) ).
fof(f85,plain,
! [X0,X1] : or(X0,implies(or(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f22,f84]) ).
fof(f86,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f48]) ).
fof(f87,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f18,f86]) ).
fof(f114,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[status(thm)],[f87,f73]) ).
fof(f147,plain,
! [X0] : implies(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f114,f48]) ).
fof(f167,plain,
! [X0,X1] : implies(truth,implies(X0,implies(X1,X0))) = truth,
inference(backward_demodulation,[status(thm)],[f147,f52]) ).
fof(f168,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f167]) ).
fof(f169,plain,
! [X0] : or(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f22,f147]) ).
fof(f170,plain,
! [X0] : implies(falsehood,X0) = truth,
inference(forward_demodulation,[status(thm)],[f62,f169]) ).
fof(f213,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f170,f20]) ).
fof(f214,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = X0,
inference(forward_demodulation,[status(thm)],[f18,f213]) ).
fof(f225,plain,
! [X0,X1] : or(X0,implies(X1,not(X0))) = truth,
inference(paramodulation,[status(thm)],[f22,f168]) ).
fof(f228,plain,
! [X0,X1] : implies(X0,or(X1,X0)) = truth,
inference(paramodulation,[status(thm)],[f22,f168]) ).
fof(f252,plain,
! [X0] : or(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f18,f228]) ).
fof(f417,plain,
! [X0,X1] : or(X0,implies(or(X1,X0),X1)) = truth,
inference(paramodulation,[status(thm)],[f24,f85]) ).
fof(f436,plain,
! [X0,X1] : or(implies(X0,not(X1)),implies(truth,X1)) = truth,
inference(paramodulation,[status(thm)],[f225,f417]) ).
fof(f437,plain,
! [X0,X1] : or(implies(X0,not(X1)),X1) = truth,
inference(forward_demodulation,[status(thm)],[f18,f436]) ).
fof(f468,plain,
! [X0] : or(not(X0),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f437]) ).
fof(f720,plain,
! [X0] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(paramodulation,[status(thm)],[f468,f44]) ).
fof(f721,plain,
! [X0] : implies(X0,not(not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f18,f720]) ).
fof(f762,plain,
not(not(truth)) = truth,
inference(paramodulation,[status(thm)],[f18,f721]) ).
fof(f763,plain,
not(falsehood) = truth,
inference(forward_demodulation,[status(thm)],[f33,f762]) ).
fof(f776,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f721,f20]) ).
fof(f777,plain,
! [X0] : implies(or(not(X0),X0),X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f22,f776]) ).
fof(f778,plain,
! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f468,f777]) ).
fof(f779,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f18,f778]) ).
fof(f780,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f18,f779]) ).
fof(f829,plain,
! [X0] : and(X0,falsehood) = not(or(not(X0),truth)),
inference(paramodulation,[status(thm)],[f763,f25]) ).
fof(f830,plain,
! [X0] : and(X0,falsehood) = not(truth),
inference(forward_demodulation,[status(thm)],[f252,f829]) ).
fof(f831,plain,
! [X0] : and(X0,falsehood) = falsehood,
inference(forward_demodulation,[status(thm)],[f33,f830]) ).
fof(f895,plain,
! [X0,X1] : and(X0,not(X1)) = not(or(not(X0),X1)),
inference(paramodulation,[status(thm)],[f780,f25]) ).
fof(f898,plain,
! [X0,X1] : or(not(X0),X1) = implies(X0,X1),
inference(paramodulation,[status(thm)],[f780,f22]) ).
fof(f928,plain,
! [X0,X1] : and(X0,not(X1)) = not(implies(X0,X1)),
inference(backward_demodulation,[status(thm)],[f898,f895]) ).
fof(f936,plain,
! [X0,X1] : xor(X0,X1) = or(not(implies(X0,X1)),and(not(X0),X1)),
inference(backward_demodulation,[status(thm)],[f928,f28]) ).
fof(f937,plain,
! [X0,X1] : xor(X0,X1) = implies(implies(X0,X1),and(not(X0),X1)),
inference(forward_demodulation,[status(thm)],[f898,f936]) ).
fof(f961,plain,
! [X0] : xor(falsehood,X0) = implies(truth,and(not(falsehood),X0)),
inference(paramodulation,[status(thm)],[f170,f937]) ).
fof(f962,plain,
! [X0] : xor(falsehood,X0) = and(not(falsehood),X0),
inference(forward_demodulation,[status(thm)],[f18,f961]) ).
fof(f963,plain,
! [X0] : xor(falsehood,X0) = and(truth,X0),
inference(forward_demodulation,[status(thm)],[f763,f962]) ).
fof(f1000,plain,
! [X0] : xor(X0,falsehood) = implies(implies(X0,falsehood),falsehood),
inference(paramodulation,[status(thm)],[f831,f937]) ).
fof(f1001,plain,
! [X0] : xor(X0,falsehood) = X0,
inference(forward_demodulation,[status(thm)],[f214,f1000]) ).
fof(f1071,plain,
! [X0] : xor(falsehood,X0) = X0,
inference(paramodulation,[status(thm)],[f29,f1001]) ).
fof(f1072,plain,
! [X0] : and(truth,X0) = X0,
inference(forward_demodulation,[status(thm)],[f963,f1071]) ).
fof(f1079,plain,
x != x,
inference(backward_demodulation,[status(thm)],[f1072,f43]) ).
fof(f1080,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n017.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:09:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.048643 seconds
% 0.14/0.40 % CPU time: 0.288598 seconds
% 0.14/0.40 % Memory used: 5.042 MB
%------------------------------------------------------------------------------