TSTP Solution File: LCL026-10 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : LCL026-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n009.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 : 600s
% DateTime : Sun Jul 17 10:32:59 EDT 2022
% Result : Unsatisfiable 2.14s 2.59s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL026-10 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 13:47:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.14/2.59 Theorem Proved.
% 2.14/2.59 % SZS status Unsatisfiable
% 2.14/2.59 % SZS output start CNFRefutation
% 2.14/2.59 [1=axiom,[],
% 2.14/2.59 is_a_theorem(implies(implies(X10,implies(X11,X12)),implies(implies(X10,X11),implies(X10,X12)))) = true].
% 2.14/2.59 [2=axiom,[],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,falsehood),falsehood),X10)) = true].
% 2.14/2.59 [3=axiom,[],
% 2.14/2.59 is_a_theorem(implies(X10,implies(X11,X10))) = true].
% 2.14/2.59 [4=axiom,[],
% 2.14/2.59 ifeq(is_a_theorem(implies(X10,X11)),true,ifeq(is_a_theorem(X10),true,is_a_theorem(X11),true),true) = true].
% 2.14/2.59 [5=axiom,[],
% 2.14/2.59 ifeq(X10,X10,X11,X12) = X11].
% 2.14/2.59 [6=axiom,[],
% 2.14/2.59 thtop(X10,X10) = thmfalse].
% 2.14/2.59 [7=axiom,[],
% 2.14/2.59 thtop(is_a_theorem(implies(implies(implies(a,b),a),a)),true) = thmtrue].
% 2.14/2.59 [9=param(4,3),[5],
% 2.14/2.59 ifeq(is_a_theorem(X10),true,is_a_theorem(implies(X11,X10)),true) = true].
% 2.14/2.59 [10=param(4,3),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(implies(X10,implies(X11,X10)),X12)),true,is_a_theorem(X12),true) = true].
% 2.14/2.59 [12=param(9,2),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(implies(implies(X11,falsehood),falsehood),X11))) = true].
% 2.14/2.59 [14=param(9,3),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(X11,implies(X12,X11)))) = true].
% 2.14/2.59 [21=param(10,1),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,X11),implies(X10,X10))) = true].
% 2.14/2.59 [25=param(10,21),[5],
% 2.14/2.59 is_a_theorem(implies(X10,X10)) = true].
% 2.14/2.59 [27=param(4,25),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(implies(X10,X10),X11)),true,is_a_theorem(X11),true) = true].
% 2.14/2.59 [34=param(27,1),[5],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,X11),X10),implies(implies(X10,X11),X11))) = true].
% 2.14/2.59 [42=param(4,14),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(implies(X10,implies(X11,implies(X12,X11))),X13)),true,is_a_theorem(X13),true) = true].
% 2.14/2.59 [47=param(9,34),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(implies(implies(X11,X12),X11),implies(implies(X11,X12),X12)))) = true].
% 2.14/2.59 [52=param(42,1),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,X11),implies(X10,implies(X12,X11)))) = true].
% 2.14/2.59 [53=param(42,34),[5],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,implies(X11,X10)),X12),X12)) = true].
% 2.14/2.59 [55=param(4,52),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(X10,X11)),true,is_a_theorem(implies(X10,implies(X12,X11))),true) = true].
% 2.14/2.59 [57=param(10,52),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(X11,implies(X12,X10)))) = true].
% 2.14/2.59 [70=param(4,57),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(implies(X10,implies(X11,implies(X12,X10))),X13)),true,is_a_theorem(X13),true) = true].
% 2.14/2.59 [83=param(55,53),[5],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,implies(X11,X10)),X12),implies(X13,X12))) = true].
% 2.14/2.59 [108=param(4,83),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(implies(X10,implies(X11,X10)),X12)),true,is_a_theorem(implies(X13,X12)),true) = true].
% 2.14/2.59 [128=param(4,1),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(X10,implies(X11,X12))),true,is_a_theorem(implies(implies(X10,X11),implies(X10,X12))),true) = true].
% 2.14/2.59 [246=param(128,12),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,implies(implies(X11,falsehood),falsehood)),implies(X10,X11))) = true].
% 2.14/2.59 [248=param(128,47),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,implies(implies(X11,X12),X11)),implies(X10,implies(implies(X11,X12),X12)))) = true].
% 2.14/2.59 [291=param(4,246),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(X10,implies(implies(X11,falsehood),falsehood))),true,is_a_theorem(implies(X10,X11)),true) = true].
% 2.14/2.59 [298=param(108,246),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(falsehood,X11))) = true].
% 2.14/2.59 [308=param(128,298),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,falsehood),implies(X10,X11))) = true].
% 2.14/2.59 [318=param(9,308),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(implies(X11,falsehood),implies(X11,X12)))) = true].
% 2.14/2.59 [366=param(128,318),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,implies(X11,falsehood)),implies(X10,implies(X11,X12)))) = true].
% 2.14/2.59 [482=param(4,366),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(X10,implies(X11,falsehood))),true,is_a_theorem(implies(X10,implies(X11,X12))),true) = true].
% 2.14/2.59 [1053=param(70,248),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(implies(implies(X11,X10),X12),X12))) = true].
% 2.14/2.59 [1054=param(108,248),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(X11,implies(implies(X11,X12),X12)))) = true].
% 2.14/2.59 [1087=param(128,1054),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,X11),implies(X10,implies(implies(X11,X12),X12)))) = true].
% 2.14/2.59 [1099=param(128,1053),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,implies(implies(X11,X10),X12)),implies(X10,X12))) = true].
% 2.14/2.59 [1109=param(4,1099),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(X10,implies(implies(X11,X10),X12))),true,is_a_theorem(implies(X10,X12)),true) = true].
% 2.14/2.59 [1124=param(4,1087),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(X10,X11)),true,is_a_theorem(implies(X10,implies(implies(X11,X12),X12))),true) = true].
% 2.14/2.59 [1316=param(291,34),[5],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,falsehood),X10),X10)) = true].
% 2.14/2.59 [1355=param(4,1316),[5],
% 2.14/2.59 ifeq(is_a_theorem(implies(implies(X10,falsehood),X10)),true,is_a_theorem(X10),true) = true].
% 2.14/2.59 [1816=param(482,1099),[5],
% 2.14/2.59 is_a_theorem(implies(implies(X10,implies(implies(X11,X10),falsehood)),implies(X10,X12))) = true].
% 2.14/2.59 [1965=param(9,1816),[5],
% 2.14/2.59 is_a_theorem(implies(X10,implies(implies(X11,implies(implies(X12,X11),falsehood)),implies(X11,X13)))) = true].
% 2.14/2.59 [2396=param(1109,1965),[5],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,X11),falsehood),implies(X11,X12))) = true].
% 2.14/2.59 [2410=param(1124,2396),[5],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,X11),falsehood),implies(implies(implies(X11,X12),X13),X13))) = true].
% 2.14/2.59 [3324=param(1355,2410),[5],
% 2.14/2.59 is_a_theorem(implies(implies(implies(X10,X11),X10),X10)) = true].
% 2.14/2.59 [3330=param(7,3324),[6],
% 2.14/2.59 thmtrue = thmfalse].
% 2.14/2.59 % SZS output end CNFRefutation
% 2.14/2.59 Space: 41842 KB
%------------------------------------------------------------------------------