TSTP Solution File: ALG030-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG030-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:09:02 EDT 2024
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V,U] : ifeq(sorti1(V),true,ifeq(sorti1(U),true,sorti1(op1(U,V)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
op1(sK2_ax3_U,sK1_ax3_V) != op1(sK1_ax3_V,sK2_ax3_U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
sorti1(sK1_ax3_V) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
sorti1(sK2_ax3_U) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V,U] : ifeq2(sorti2(V),true,ifeq2(sorti2(U),true,op2(U,V),op2(V,U)),op2(V,U)) = op2(V,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U] : ifeq(sorti1(U),true,sorti2(h(U)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X,W] : ifeq2(sorti1(X),true,ifeq2(sorti1(W),true,op2(h(W),h(X)),h(op1(W,X))),h(op1(W,X))) = h(op1(W,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X2] : ifeq2(sorti1(X2),true,j(h(X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [Z,Y] : ifeq2(sorti2(Z),true,ifeq2(sorti2(Y),true,op1(j(Y),j(Z)),j(op2(Y,Z))),j(op2(Y,Z))) = j(op2(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : ifeq(sorti1(X0),true,ifeq(sorti1(X1),true,sorti1(op1(X1,X0)),true),true) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
op1(sK2_ax3_U,sK1_ax3_V) != op1(sK1_ax3_V,sK2_ax3_U),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
sorti1(sK1_ax3_V) = true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
sorti1(sK2_ax3_U) = true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0,X1] : ifeq2(sorti2(X0),true,ifeq2(sorti2(X1),true,op2(X1,X0),op2(X0,X1)),op2(X0,X1)) = op2(X0,X1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0] : ifeq(sorti1(X0),true,sorti2(h(X0)),true) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1] : ifeq2(sorti1(X0),true,ifeq2(sorti1(X1),true,op2(h(X1),h(X0)),h(op1(X1,X0))),h(op1(X1,X0))) = h(op1(X1,X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0] : ifeq2(sorti1(X0),true,j(h(X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0,X1] : ifeq2(sorti2(X0),true,ifeq2(sorti2(X1),true,op1(j(X1),j(X0)),j(op2(X1,X0))),j(op2(X1,X0))) = j(op2(X1,X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
! [X0] : ifeq(sorti1(X0),true,ifeq(true,true,sorti1(op1(sK1_ax3_V,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f30,plain,
! [X0] : ifeq(sorti1(X0),true,sorti1(op1(sK1_ax3_V,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f29]) ).
fof(f33,plain,
! [X0] : ifeq2(sorti1(X0),true,ifeq2(true,true,op2(h(sK1_ax3_V),h(X0)),h(op1(sK1_ax3_V,X0))),h(op1(sK1_ax3_V,X0))) = h(op1(sK1_ax3_V,X0)),
inference(paramodulation,[status(thm)],[f20,f24]) ).
fof(f34,plain,
! [X0] : ifeq2(sorti1(X0),true,op2(h(sK1_ax3_V),h(X0)),h(op1(sK1_ax3_V,X0))) = h(op1(sK1_ax3_V,X0)),
inference(forward_demodulation,[status(thm)],[f15,f33]) ).
fof(f37,plain,
ifeq(true,true,sorti2(h(sK1_ax3_V)),true) = true,
inference(paramodulation,[status(thm)],[f20,f23]) ).
fof(f38,plain,
sorti2(h(sK1_ax3_V)) = true,
inference(forward_demodulation,[status(thm)],[f16,f37]) ).
fof(f39,plain,
ifeq2(true,true,j(h(sK1_ax3_V)),sK1_ax3_V) = sK1_ax3_V,
inference(paramodulation,[status(thm)],[f20,f25]) ).
fof(f40,plain,
j(h(sK1_ax3_V)) = sK1_ax3_V,
inference(forward_demodulation,[status(thm)],[f15,f39]) ).
fof(f113,plain,
ifeq2(true,true,op2(h(sK1_ax3_V),h(sK2_ax3_U)),h(op1(sK1_ax3_V,sK2_ax3_U))) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(paramodulation,[status(thm)],[f21,f34]) ).
fof(f114,plain,
op2(h(sK1_ax3_V),h(sK2_ax3_U)) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[status(thm)],[f15,f113]) ).
fof(f117,plain,
ifeq(true,true,sorti1(op1(sK1_ax3_V,sK2_ax3_U)),true) = true,
inference(paramodulation,[status(thm)],[f21,f30]) ).
fof(f118,plain,
sorti1(op1(sK1_ax3_V,sK2_ax3_U)) = true,
inference(forward_demodulation,[status(thm)],[f16,f117]) ).
fof(f127,plain,
ifeq(true,true,sorti2(h(sK2_ax3_U)),true) = true,
inference(paramodulation,[status(thm)],[f21,f23]) ).
fof(f128,plain,
sorti2(h(sK2_ax3_U)) = true,
inference(forward_demodulation,[status(thm)],[f16,f127]) ).
fof(f129,plain,
ifeq2(true,true,j(h(sK2_ax3_U)),sK2_ax3_U) = sK2_ax3_U,
inference(paramodulation,[status(thm)],[f21,f25]) ).
fof(f130,plain,
j(h(sK2_ax3_U)) = sK2_ax3_U,
inference(forward_demodulation,[status(thm)],[f15,f129]) ).
fof(f190,plain,
ifeq2(true,true,j(h(op1(sK1_ax3_V,sK2_ax3_U))),op1(sK1_ax3_V,sK2_ax3_U)) = op1(sK1_ax3_V,sK2_ax3_U),
inference(paramodulation,[status(thm)],[f118,f25]) ).
fof(f191,plain,
j(h(op1(sK1_ax3_V,sK2_ax3_U))) = op1(sK1_ax3_V,sK2_ax3_U),
inference(forward_demodulation,[status(thm)],[f15,f190]) ).
fof(f306,plain,
ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,op2(h(sK2_ax3_U),h(sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),op2(h(sK1_ax3_V),h(sK2_ax3_U))) = op2(h(sK1_ax3_V),h(sK2_ax3_U)),
inference(paramodulation,[status(thm)],[f114,f22]) ).
fof(f307,plain,
ifeq2(true,true,ifeq2(sorti2(h(sK2_ax3_U)),true,op2(h(sK2_ax3_U),h(sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),op2(h(sK1_ax3_V),h(sK2_ax3_U))) = op2(h(sK1_ax3_V),h(sK2_ax3_U)),
inference(forward_demodulation,[status(thm)],[f38,f306]) ).
fof(f308,plain,
ifeq2(sorti2(h(sK2_ax3_U)),true,op2(h(sK2_ax3_U),h(sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))) = op2(h(sK1_ax3_V),h(sK2_ax3_U)),
inference(forward_demodulation,[status(thm)],[f15,f307]) ).
fof(f309,plain,
ifeq2(true,true,op2(h(sK2_ax3_U),h(sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))) = op2(h(sK1_ax3_V),h(sK2_ax3_U)),
inference(forward_demodulation,[status(thm)],[f128,f308]) ).
fof(f310,plain,
op2(h(sK2_ax3_U),h(sK1_ax3_V)) = op2(h(sK1_ax3_V),h(sK2_ax3_U)),
inference(forward_demodulation,[status(thm)],[f15,f309]) ).
fof(f311,plain,
op2(h(sK2_ax3_U),h(sK1_ax3_V)) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[status(thm)],[f114,f310]) ).
fof(f361,plain,
ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,op1(j(h(sK2_ax3_U)),j(h(sK1_ax3_V))),j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))),j(h(op1(sK1_ax3_V,sK2_ax3_U)))) = j(op2(h(sK2_ax3_U),h(sK1_ax3_V))),
inference(paramodulation,[status(thm)],[f311,f27]) ).
fof(f362,plain,
ifeq2(true,true,ifeq2(sorti2(h(sK2_ax3_U)),true,op1(j(h(sK2_ax3_U)),j(h(sK1_ax3_V))),j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))),j(h(op1(sK1_ax3_V,sK2_ax3_U)))) = j(op2(h(sK2_ax3_U),h(sK1_ax3_V))),
inference(forward_demodulation,[status(thm)],[f38,f361]) ).
fof(f363,plain,
ifeq2(sorti2(h(sK2_ax3_U)),true,op1(j(h(sK2_ax3_U)),j(h(sK1_ax3_V))),j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))) = j(op2(h(sK2_ax3_U),h(sK1_ax3_V))),
inference(forward_demodulation,[status(thm)],[f15,f362]) ).
fof(f364,plain,
ifeq2(true,true,op1(j(h(sK2_ax3_U)),j(h(sK1_ax3_V))),j(op2(h(sK2_ax3_U),h(sK1_ax3_V)))) = j(op2(h(sK2_ax3_U),h(sK1_ax3_V))),
inference(forward_demodulation,[status(thm)],[f128,f363]) ).
fof(f365,plain,
op1(j(h(sK2_ax3_U)),j(h(sK1_ax3_V))) = j(op2(h(sK2_ax3_U),h(sK1_ax3_V))),
inference(forward_demodulation,[status(thm)],[f15,f364]) ).
fof(f366,plain,
op1(sK2_ax3_U,j(h(sK1_ax3_V))) = j(op2(h(sK2_ax3_U),h(sK1_ax3_V))),
inference(forward_demodulation,[status(thm)],[f130,f365]) ).
fof(f367,plain,
op1(sK2_ax3_U,sK1_ax3_V) = j(op2(h(sK2_ax3_U),h(sK1_ax3_V))),
inference(forward_demodulation,[status(thm)],[f40,f366]) ).
fof(f368,plain,
op1(sK2_ax3_U,sK1_ax3_V) = j(h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(forward_demodulation,[status(thm)],[f311,f367]) ).
fof(f369,plain,
op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,sK2_ax3_U),
inference(forward_demodulation,[status(thm)],[f191,f368]) ).
fof(f370,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f369,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG030-10 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:53:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.056585 seconds
% 0.12/0.40 % CPU time: 0.368212 seconds
% 0.12/0.40 % Total memory used: 25.307 MB
% 0.12/0.40 % Net memory used: 25.074 MB
%------------------------------------------------------------------------------