TSTP Solution File: LCL109-2 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n003.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 10:33:27 EDT 2022
% Result : Unsatisfiable 22.20s 22.56s
% Output : CNFRefutation 22.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL109-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : fiesta-wrapper %s
% 0.12/0.34 % Computer : n003.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 : 600
% 0.12/0.34 % DateTime : Sat Jul 2 23:10:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 22.20/22.56 Theorem Proved.
% 22.20/22.56 % SZS status Unsatisfiable
% 22.20/22.56 % SZS output start CNFRefutation
% 22.20/22.56 [1=axiom,[],
% 22.20/22.56 implies(implies(not(X10),not(X11)),implies(X11,X10)) = truth].
% 22.20/22.56 [2=axiom,[],
% 22.20/22.56 implies(implies(X10,X11),X11) = implies(implies(X11,X10),X10)].
% 22.20/22.56 [3=axiom,[],
% 22.20/22.56 implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12))) = truth].
% 22.20/22.56 [4=axiom,[],
% 22.20/22.56 implies(truth,X10) = X10].
% 22.20/22.56 [5=axiom,[],
% 22.20/22.56 thtop(X10,X10) = thmfalse].
% 22.20/22.56 [6=axiom,[2],
% 22.20/22.56 thtop(implies(implies(implies(b,a),implies(a,b)),implies(a,b)),truth) = thmtrue].
% 22.20/22.56 [8=param(1,4),[],
% 22.20/22.56 implies(implies(not(X10),not(truth)),X10) = truth].
% 22.20/22.56 [11=param(2,4),[],
% 22.20/22.56 implies(implies(X10,truth),truth) = implies(X10,X10)].
% 22.20/22.56 [12=param(2,8),[],
% 22.20/22.56 implies(implies(not(truth),not(not(truth))),not(not(truth))) = truth].
% 22.20/22.56 [13=param(2,8),[4],
% 22.20/22.56 implies(implies(X10,implies(not(X10),not(truth))),implies(not(X10),not(truth))) = X10].
% 22.20/22.56 [17=param(3,1),[4],
% 22.20/22.56 implies(implies(implies(X10,X11),X12),implies(implies(not(X11),not(X10)),X12)) = truth].
% 22.20/22.56 [19=param(3,1),[4],
% 22.20/22.56 implies(implies(X10,implies(not(X11),not(X12))),implies(X10,implies(X12,X11))) = truth].
% 22.20/22.56 [21=param(3,4),[4],
% 22.20/22.56 implies(X10,implies(implies(X10,X11),X11)) = truth].
% 22.20/22.56 [22=param(3,4),[],
% 22.20/22.56 implies(implies(X10,truth),implies(X11,implies(X10,X11))) = truth].
% 22.20/22.56 [25=param(3,8),[4],
% 22.20/22.56 implies(implies(X10,implies(not(X11),not(truth))),implies(X10,X11)) = truth].
% 22.20/22.56 [33=param(3,21),[4],
% 22.20/22.56 implies(implies(implies(implies(X10,X11),X11),X12),implies(X10,X12)) = truth].
% 22.20/22.56 [36=param(21,4),[4],
% 22.20/22.56 implies(X10,X10) = truth].
% 22.20/22.56 [41=demod(11),[36],
% 22.20/22.56 implies(implies(X10,truth),truth) = truth].
% 22.20/22.56 [53=param(21,41),[],
% 22.20/22.56 implies(X10,truth) = truth].
% 22.20/22.56 [54=demod(22),[53,4],
% 22.20/22.56 implies(X10,implies(X11,X10)) = truth].
% 22.20/22.56 [65=param(17,8),[4],
% 22.20/22.56 implies(implies(not(not(truth)),not(not(X10))),X10) = truth].
% 22.20/22.56 [85=param(19,54),[4],
% 22.20/22.56 implies(not(X10),implies(X10,X11)) = truth].
% 22.20/22.56 [87=param(3,85),[4],
% 22.20/22.56 implies(implies(X10,not(X11)),implies(X10,implies(X11,X12))) = truth].
% 22.20/22.56 [116=param(25,54),[4],
% 22.20/22.56 implies(not(truth),X10) = truth].
% 22.20/22.56 [118=demod(12),[116,4],
% 22.20/22.56 not(not(truth)) = truth].
% 22.20/22.56 [122=demod(65),[118,4],
% 22.20/22.56 implies(not(not(X10)),X10) = truth].
% 22.20/22.56 [127=param(2,116),[4],
% 22.20/22.56 implies(implies(X10,not(truth)),not(truth)) = X10].
% 22.20/22.56 [131=param(1,122),[4],
% 22.20/22.56 implies(X10,not(not(X10))) = truth].
% 22.20/22.56 [132=param(2,122),[4,131,4],
% 22.20/22.56 not(not(X10)) = X10].
% 22.20/22.56 [134=param(1,132),[],
% 22.20/22.56 implies(implies(X10,not(X11)),implies(X11,not(X10))) = truth].
% 22.20/22.56 [136=param(33,3),[4],
% 22.20/22.56 implies(X10,implies(implies(X11,X12),implies(implies(X10,X11),X12))) = truth].
% 22.20/22.56 [151=param(17,127),[132,4],
% 22.20/22.56 implies(X10,implies(not(X10),not(truth))) = truth].
% 22.20/22.56 [152=demod(13),[151,4],
% 22.20/22.56 implies(not(X10),not(truth)) = X10].
% 22.20/22.56 [154=param(2,152),[116,4],
% 22.20/22.56 implies(X10,not(truth)) = not(X10)].
% 22.20/22.56 [164=param(3,154),[154],
% 22.20/22.56 implies(implies(X10,X11),implies(not(X11),not(X10))) = truth].
% 22.20/22.56 [165=param(17,154),[154],
% 22.20/22.56 implies(not(implies(X10,X11)),not(implies(not(X11),not(X10)))) = truth].
% 22.20/22.56 [230=param(2,164),[4,1,4],
% 22.20/22.56 implies(not(X10),not(X11)) = implies(X11,X10)].
% 22.20/22.56 [247=demod(33),[-230,-230],
% 22.20/22.56 implies(not(implies(X10,X11)),not(implies(implies(not(X12),not(implies(X10,X12))),X11))) = truth].
% 22.20/22.56 [258=demod(2),[-230,-230],
% 22.20/22.56 implies(not(X10),not(implies(X11,X10))) = implies(not(X11),not(implies(X10,X11)))].
% 22.20/22.56 [304=param(3,230),[],
% 22.20/22.56 implies(implies(X10,X11),implies(implies(X11,X12),implies(not(X12),not(X10)))) = truth].
% 22.20/22.56 [305=param(6,230),[258,-230],
% 22.20/22.56 thtop(implies(not(implies(b,a)),not(implies(not(implies(b,a)),not(implies(a,b))))),truth) = thmtrue].
% 22.20/22.56 [347=param(87,230),[],
% 22.20/22.56 implies(implies(X10,X11),implies(not(X11),implies(X10,X12))) = truth].
% 22.20/22.56 [384=param(164,134),[4],
% 22.20/22.56 implies(not(implies(X10,not(X11))),not(implies(X11,not(X10)))) = truth].
% 22.20/22.56 [697=param(258,85),[-230,132,132,4,132,-230,132],
% 22.20/22.56 implies(X10,not(implies(X10,not(implies(X10,X11))))) = implies(X10,X11)].
% 22.20/22.56 [698=param(258,230),[132,132],
% 22.20/22.56 implies(X11,not(implies(not(X10),not(X11)))) = implies(X10,not(implies(X10,X11)))].
% 22.20/22.56 [699=param(698,230),[],
% 22.20/22.56 implies(X10,not(implies(X10,X11))) = implies(X11,not(implies(X11,X10)))].
% 22.20/22.56 [703=param(699,85),[154,132,-230,132],
% 22.20/22.56 implies(implies(X10,X11),not(implies(X10,not(implies(X10,X11))))) = X10].
% 22.20/22.56 [706=param(697,699),[],
% 22.20/22.56 implies(X10,not(implies(X11,not(implies(X11,X10))))) = implies(X10,X11)].
% 22.20/22.56 [708=param(703,699),[],
% 22.20/22.56 implies(implies(X10,X11),not(implies(X11,not(implies(X11,X10))))) = X10].
% 22.20/22.56 [777=param(247,304),[132,-230,132,132,4],
% 22.20/22.56 implies(X10,implies(implies(not(implies(X10,X11)),X12),implies(not(X12),X11))) = truth].
% 22.20/22.56 [962=param(706,230),[],
% 22.20/22.56 implies(not(X10),not(implies(not(X11),not(implies(X10,X11))))) = implies(not(X10),not(X11))].
% 22.20/22.56 [1028=param(347,136),[4],
% 22.20/22.56 implies(not(implies(implies(X10,X11),implies(implies(X12,X10),X11))),implies(X12,X13)) = truth].
% 22.20/22.56 [1095=param(698,165),[-230,132,4,164,-230,132,4],
% 22.20/22.56 not(implies(not(X10),not(X11))) = not(implies(X11,X10))].
% 22.20/22.56 [1101=param(230,1095),[],
% 22.20/22.56 implies(not(X10),not(implies(X11,X12))) = implies(implies(not(X12),not(X11)),X10)].
% 22.20/22.56 [1108=param(230,1095),[],
% 22.20/22.56 implies(not(implies(not(X10),not(X11))),not(X12)) = implies(X12,implies(X11,X10))].
% 22.20/22.56 [1113=demod(777),[-1108,132],
% 22.20/22.56 implies(X10,implies(not(implies(not(X11),X12)),not(implies(not(implies(X10,X11)),X12)))) = truth].
% 22.20/22.56 [1120=param(230,1095),[],
% 22.20/22.56 implies(not(X10),not(implies(not(X11),not(X12)))) = implies(implies(X12,X11),X10)].
% 22.20/22.56 [1477=param(698,384),[-1120,132,132,4,134,-1120,132,132,4],
% 22.20/22.56 not(implies(X10,not(X11))) = not(implies(X11,not(X10)))].
% 22.20/22.56 [1497=param(230,1477),[],
% 22.20/22.56 implies(not(implies(X10,not(X11))),not(X12)) = implies(X12,implies(X11,not(X10)))].
% 22.20/22.56 [4043=param(1113,1028),[-230,132,132,4],
% 22.20/22.56 implies(implies(X10,X11),implies(not(implies(implies(X12,X10),X11)),implies(X12,X13))) = truth].
% 22.20/22.56 [4048=param(4043,1497),[132],
% 22.20/22.56 implies(implies(X10,X11),implies(not(implies(X12,not(X13))),implies(implies(X13,X10),X11))) = truth].
% 22.20/22.56 [4076=param(4048,4),[132],
% 22.20/22.56 implies(implies(X10,X11),implies(X12,implies(implies(X12,X10),X11))) = truth].
% 22.20/22.56 [4115=param(4076,1497),[-230,132,132],
% 22.20/22.56 implies(implies(X10,not(X11)),implies(X12,implies(X11,not(implies(X12,X10))))) = truth].
% 22.20/22.56 [4127=param(4115,708),[-1101],
% 22.20/22.56 implies(not(implies(X10,X11)),not(implies(implies(X11,X10),implies(X10,X11)))) = truth].
% 22.20/22.56 [4444=param(962,4127),[-230,132,132,4],
% 22.20/22.56 implies(not(implies(X10,X11)),not(implies(X11,X10))) = implies(X10,X11)].
% 22.20/22.56 [4451=param(305,4444),[36,5],
% 22.20/22.56 thmtrue = thmfalse].
% 22.20/22.56 % SZS output end CNFRefutation
% 22.20/22.56 Space: 144173 KB
%------------------------------------------------------------------------------