TSTP Solution File: LCL138-1 by Fiesta---2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : LCL138-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n008.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 10:33:39 EDT 2022
% Result : Unsatisfiable 143.34s 143.73s
% Output : CNFRefutation 143.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL138-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : fiesta-wrapper %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 3 05:24:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 143.34/143.73 Theorem Proved.
% 143.34/143.73 % SZS status Unsatisfiable
% 143.34/143.73 % SZS output start CNFRefutation
% 143.34/143.73 [1=axiom,[],
% 143.34/143.73 implies(implies(not(X10),not(X11)),implies(X11,X10)) = truth].
% 143.34/143.73 [2=axiom,[],
% 143.34/143.73 implies(implies(X10,X11),X11) = implies(implies(X11,X10),X10)].
% 143.34/143.73 [3=axiom,[],
% 143.34/143.73 implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12))) = truth].
% 143.34/143.73 [4=axiom,[],
% 143.34/143.73 implies(truth,X10) = X10].
% 143.34/143.73 [5=axiom,[],
% 143.34/143.73 thtop(X10,X10) = thmfalse].
% 143.34/143.73 [6=axiom,[],
% 143.34/143.73 thtop(implies(x,implies(y,z)),implies(y,implies(x,z))) = thmtrue].
% 143.34/143.73 [8=param(1,4),[],
% 143.34/143.73 implies(implies(not(X10),not(truth)),X10) = truth].
% 143.34/143.73 [11=param(2,4),[],
% 143.34/143.73 implies(implies(X10,truth),truth) = implies(X10,X10)].
% 143.34/143.73 [12=param(2,8),[],
% 143.34/143.73 implies(implies(not(truth),not(not(truth))),not(not(truth))) = truth].
% 143.34/143.73 [13=param(2,8),[4],
% 143.34/143.73 implies(implies(X10,implies(not(X10),not(truth))),implies(not(X10),not(truth))) = X10].
% 143.34/143.73 [17=param(3,1),[4],
% 143.34/143.73 implies(implies(implies(X10,X11),X12),implies(implies(not(X11),not(X10)),X12)) = truth].
% 143.34/143.73 [19=param(3,1),[4],
% 143.34/143.73 implies(implies(X10,implies(not(X11),not(X12))),implies(X10,implies(X12,X11))) = truth].
% 143.34/143.73 [21=param(3,4),[4],
% 143.34/143.73 implies(X10,implies(implies(X10,X11),X11)) = truth].
% 143.34/143.73 [22=param(3,4),[],
% 143.34/143.73 implies(implies(X10,truth),implies(X11,implies(X10,X11))) = truth].
% 143.34/143.73 [25=param(3,8),[4],
% 143.34/143.73 implies(implies(X10,implies(not(X11),not(truth))),implies(X10,X11)) = truth].
% 143.34/143.73 [33=param(3,21),[4],
% 143.34/143.73 implies(implies(implies(implies(X10,X11),X11),X12),implies(X10,X12)) = truth].
% 143.34/143.73 [36=param(21,4),[4],
% 143.34/143.73 implies(X10,X10) = truth].
% 143.34/143.73 [41=demod(11),[36],
% 143.34/143.73 implies(implies(X10,truth),truth) = truth].
% 143.34/143.73 [53=param(21,41),[],
% 143.34/143.73 implies(X10,truth) = truth].
% 143.34/143.73 [54=demod(22),[53,4],
% 143.34/143.73 implies(X10,implies(X11,X10)) = truth].
% 143.34/143.73 [56=param(3,54),[4],
% 143.34/143.73 implies(implies(X10,X11),implies(X10,implies(X12,X11))) = truth].
% 143.34/143.73 [65=param(17,8),[4],
% 143.34/143.73 implies(implies(not(not(truth)),not(not(X10))),X10) = truth].
% 143.34/143.73 [74=param(3,56),[4],
% 143.34/143.73 implies(implies(implies(X10,implies(X11,X12)),X13),implies(implies(X10,X12),X13)) = truth].
% 143.34/143.73 [85=param(19,54),[4],
% 143.34/143.73 implies(not(X10),implies(X10,X11)) = truth].
% 143.34/143.73 [87=param(3,85),[4],
% 143.34/143.73 implies(implies(X10,not(X11)),implies(X10,implies(X11,X12))) = truth].
% 143.34/143.73 [116=param(25,54),[4],
% 143.34/143.73 implies(not(truth),X10) = truth].
% 143.34/143.73 [118=demod(12),[116,4],
% 143.34/143.73 not(not(truth)) = truth].
% 143.34/143.73 [122=demod(65),[118,4],
% 143.34/143.73 implies(not(not(X10)),X10) = truth].
% 143.34/143.73 [127=param(2,116),[4],
% 143.34/143.73 implies(implies(X10,not(truth)),not(truth)) = X10].
% 143.34/143.73 [131=param(1,122),[4],
% 143.34/143.73 implies(X10,not(not(X10))) = truth].
% 143.34/143.73 [132=param(2,122),[4,131,4],
% 143.34/143.73 not(not(X10)) = X10].
% 143.34/143.73 [134=param(1,132),[],
% 143.34/143.73 implies(implies(X10,not(X11)),implies(X11,not(X10))) = truth].
% 143.34/143.73 [135=param(1,132),[],
% 143.34/143.73 implies(implies(not(X10),X11),implies(not(X11),X10)) = truth].
% 143.34/143.73 [136=param(33,3),[4],
% 143.34/143.73 implies(X10,implies(implies(X11,X12),implies(implies(X10,X11),X12))) = truth].
% 143.34/143.73 [151=param(17,127),[132,4],
% 143.34/143.73 implies(X10,implies(not(X10),not(truth))) = truth].
% 143.34/143.73 [152=demod(13),[151,4],
% 143.34/143.73 implies(not(X10),not(truth)) = X10].
% 143.34/143.73 [154=param(2,152),[116,4],
% 143.34/143.73 implies(X10,not(truth)) = not(X10)].
% 143.34/143.73 [164=param(3,154),[154],
% 143.34/143.73 implies(implies(X10,X11),implies(not(X11),not(X10))) = truth].
% 143.34/143.73 [165=param(17,154),[154],
% 143.34/143.73 implies(not(implies(X10,X11)),not(implies(not(X11),not(X10)))) = truth].
% 143.34/143.73 [230=param(2,164),[4,1,4],
% 143.34/143.73 implies(not(X10),not(X11)) = implies(X11,X10)].
% 143.34/143.73 [237=demod(74),[-230],
% 143.34/143.73 implies(not(implies(implies(X10,X11),X12)),not(implies(implies(X10,implies(X13,X11)),X12))) = truth].
% 143.34/143.73 [247=demod(33),[-230,-230],
% 143.34/143.73 implies(not(implies(X10,X11)),not(implies(implies(not(X12),not(implies(X10,X12))),X11))) = truth].
% 143.34/143.73 [258=demod(2),[-230,-230],
% 143.34/143.73 implies(not(X10),not(implies(X11,X10))) = implies(not(X11),not(implies(X10,X11)))].
% 143.34/143.73 [300=param(230,132),[],
% 143.34/143.73 implies(X10,not(X11)) = implies(X11,not(X10))].
% 143.34/143.73 [301=param(230,132),[],
% 143.34/143.73 implies(not(X10),X11) = implies(not(X11),X10)].
% 143.34/143.73 [303=param(3,230),[],
% 143.34/143.73 implies(implies(X10,X11),implies(implies(not(X12),not(X11)),implies(X10,X12))) = truth].
% 143.34/143.73 [304=param(3,230),[],
% 143.34/143.73 implies(implies(X10,X11),implies(implies(X11,X12),implies(not(X12),not(X10)))) = truth].
% 143.34/143.73 [340=param(87,230),[],
% 143.34/143.73 implies(implies(X10,X11),implies(not(X11),implies(X10,X12))) = truth].
% 143.34/143.73 [374=param(3,135),[4],
% 143.34/143.73 implies(implies(implies(not(X10),X11),X12),implies(implies(not(X11),X10),X12)) = truth].
% 143.34/143.73 [378=param(164,135),[4],
% 143.34/143.73 implies(not(implies(not(X10),X11)),not(implies(not(X11),X10))) = truth].
% 143.34/143.73 [383=param(164,134),[4],
% 143.34/143.73 implies(not(implies(X10,not(X11))),not(implies(X11,not(X10)))) = truth].
% 143.34/143.73 [696=param(258,85),[-230,132,132,4,132,-230,132],
% 143.34/143.73 implies(X10,not(implies(X10,not(implies(X10,X11))))) = implies(X10,X11)].
% 143.34/143.73 [697=param(258,230),[132,132],
% 143.34/143.73 implies(X11,not(implies(not(X10),not(X11)))) = implies(X10,not(implies(X10,X11)))].
% 143.34/143.73 [698=param(697,230),[],
% 143.34/143.73 implies(X10,not(implies(X10,X11))) = implies(X11,not(implies(X11,X10)))].
% 143.34/143.73 [702=param(698,85),[154,132,-230,132],
% 143.34/143.73 implies(implies(X10,X11),not(implies(X10,not(implies(X10,X11))))) = X10].
% 143.34/143.73 [705=param(696,698),[],
% 143.34/143.73 implies(X10,not(implies(X11,not(implies(X11,X10))))) = implies(X10,X11)].
% 143.34/143.73 [707=param(702,698),[],
% 143.34/143.73 implies(implies(X10,X11),not(implies(X11,not(implies(X11,X10))))) = X10].
% 143.34/143.73 [708=param(707,230),[132],
% 143.34/143.73 implies(implies(X11,not(implies(X11,X10))),not(implies(X10,X11))) = X10].
% 143.34/143.73 [767=param(303,300),[132],
% 143.34/143.73 implies(implies(X10,X11),implies(implies(X12,not(X11)),implies(X12,not(X10)))) = truth].
% 143.34/143.73 [776=param(247,304),[132,-230,132,132,4],
% 143.34/143.73 implies(X10,implies(implies(not(implies(X10,X11)),X12),implies(not(X12),X11))) = truth].
% 143.34/143.73 [867=param(247,767),[132,132,-230,-230,132,132,4],
% 143.34/143.73 implies(X10,implies(not(implies(X11,X12)),not(implies(X11,implies(X10,X12))))) = truth].
% 143.34/143.73 [928=param(3,87),[4],
% 143.34/143.73 implies(implies(X10,implies(X11,not(X12))),implies(X10,implies(X11,implies(X12,X13)))) = truth].
% 143.34/143.73 [968=param(705,230),[],
% 143.34/143.73 implies(not(X10),not(implies(not(X11),not(implies(X10,X11))))) = implies(not(X10),not(X11))].
% 143.34/143.73 [1024=param(3,340),[4],
% 143.34/143.73 implies(implies(X10,implies(X11,X12)),implies(X10,implies(not(X12),implies(X11,X13)))) = truth].
% 143.34/143.73 [1030=param(340,136),[4],
% 143.34/143.73 implies(not(implies(implies(X10,X11),implies(implies(X12,X10),X11))),implies(X12,X13)) = truth].
% 143.34/143.73 [1094=param(697,132),[],
% 143.34/143.73 implies(not(X10),not(implies(not(X11),X10))) = implies(X11,not(implies(X11,not(X10))))].
% 143.34/143.73 [1095=param(697,165),[-230,132,4,164,-230,132,4],
% 143.34/143.73 not(implies(not(X10),not(X11))) = not(implies(X11,X10))].
% 143.34/143.73 [1100=param(230,1095),[],
% 143.34/143.73 implies(not(X10),not(implies(X11,X12))) = implies(implies(not(X12),not(X11)),X10)].
% 143.34/143.73 [1102=param(300,1095),[],
% 143.34/143.73 implies(X10,not(implies(X11,X12))) = implies(implies(not(X12),not(X11)),not(X10))].
% 143.34/143.73 [1107=param(230,1095),[],
% 143.34/143.73 implies(not(implies(not(X10),not(X11))),not(X12)) = implies(X12,implies(X11,X10))].
% 143.34/143.73 [1112=demod(776),[-1107,132],
% 143.34/143.73 implies(X10,implies(not(implies(not(X11),X12)),not(implies(not(implies(X10,X11)),X12)))) = truth].
% 143.34/143.73 [1119=param(230,1095),[],
% 143.34/143.73 implies(not(X10),not(implies(not(X11),not(X12)))) = implies(implies(X12,X11),X10)].
% 143.34/143.73 [1267=param(708,300),[-1102,-1119,132,1094],
% 143.34/143.73 implies(implies(X10,not(X11)),not(implies(X11,not(implies(X11,not(X10)))))) = X11].
% 143.34/143.73 [1489=param(697,383),[-1119,132,132,4,134,-1119,132,132,4],
% 143.34/143.73 not(implies(X10,not(X11))) = not(implies(X11,not(X10)))].
% 143.34/143.73 [1496=param(230,1489),[],
% 143.34/143.73 implies(not(implies(X10,not(X11))),not(X12)) = implies(X12,implies(X11,not(X10)))].
% 143.34/143.73 [1524=param(697,378),[-1119,132,132,4,135,-1119,132,132,4],
% 143.34/143.73 not(implies(not(X10),X11)) = not(implies(not(X11),X10))].
% 143.34/143.73 [1556=param(230,1524),[],
% 143.34/143.73 implies(not(X10),not(implies(not(X11),X12))) = implies(implies(not(X12),X11),X10)].
% 143.34/143.73 [2663=param(1267,258),[132,-1119,968,-1102,-1100],
% 143.34/143.73 implies(implies(not(X10),not(X11)),not(implies(not(X10),not(implies(X11,X10))))) = not(X10)].
% 143.34/143.73 [3555=param(928,867),[4],
% 143.34/143.73 implies(X10,implies(not(implies(X11,X12)),implies(implies(X11,implies(X10,X12)),X13))) = truth].
% 143.34/143.73 [4042=param(1112,1030),[-230,132,132,4],
% 143.34/143.73 implies(implies(X10,X11),implies(not(implies(implies(X12,X10),X11)),implies(X12,X13))) = truth].
% 143.34/143.73 [4047=param(4042,1496),[132],
% 143.34/143.73 implies(implies(X10,X11),implies(not(implies(X12,not(X13))),implies(implies(X13,X10),X11))) = truth].
% 143.34/143.73 [4072=param(4047,4),[132],
% 143.34/143.73 implies(implies(X10,X11),implies(X12,implies(implies(X12,X10),X11))) = truth].
% 143.34/143.78 [4111=param(4072,1496),[-230,132,132],
% 143.34/143.78 implies(implies(X10,not(X11)),implies(X12,implies(X11,not(implies(X12,X10))))) = truth].
% 143.34/143.78 [4123=param(4111,707),[-1100],
% 143.34/143.78 implies(not(implies(X10,X11)),not(implies(implies(X11,X10),implies(X10,X11)))) = truth].
% 143.34/143.78 [4138=param(4111,1556),[132],
% 143.34/143.78 implies(implies(X10,X11),implies(not(X12),implies(implies(not(X10),X12),X11))) = truth].
% 143.34/143.78 [4147=param(374,4138),[132,4],
% 143.34/143.78 implies(implies(not(X10),X11),implies(not(X12),implies(implies(X11,X12),X10))) = truth].
% 143.34/143.78 [4163=param(4147,300),[132],
% 143.34/143.78 implies(implies(X10,X11),implies(not(X12),implies(X10,not(implies(X11,X12))))) = truth].
% 143.34/143.78 [4175=param(4163,132),[],
% 143.34/143.78 implies(implies(X10,X11),implies(X12,implies(X10,not(implies(X11,not(X12)))))) = truth].
% 143.34/143.78 [4196=param(4175,230),[132],
% 143.34/143.78 implies(implies(X10,X11),implies(X12,implies(implies(X11,not(X12)),not(X10)))) = truth].
% 143.34/143.78 [4213=param(247,4196),[132,-1100,-230,132,132,4],
% 143.34/143.78 implies(X10,implies(X11,implies(not(X12),not(implies(X11,implies(X10,X12)))))) = truth].
% 143.34/143.78 [4277=param(4213,3555),[-230,132,132,4],
% 143.34/143.78 implies(not(implies(X10,X11)),implies(X12,implies(implies(X10,implies(X12,X11)),X13))) = truth].
% 143.34/143.78 [4443=param(968,4123),[-230,132,132,4],
% 143.34/143.78 implies(not(implies(X10,X11)),not(implies(X11,X10))) = implies(X10,X11)].
% 143.34/143.78 [4445=param(4443,230),[],
% 143.34/143.78 implies(implies(X11,X10),implies(X10,X11)) = implies(X10,X11)].
% 143.34/143.78 [4452=param(237,4445),[],
% 143.34/143.78 implies(not(implies(X10,X11)),not(implies(implies(X11,implies(X12,X10)),implies(X10,X11)))) = truth].
% 143.34/143.78 [4603=param(4277,1496),[-230,132,132],
% 143.34/143.78 implies(not(implies(X10,X11)),implies(X12,implies(X13,not(implies(X10,implies(X12,X11)))))) = truth].
% 143.34/143.78 [4626=param(4603,4),[],
% 143.34/143.78 implies(not(implies(X10,X11)),implies(X12,not(implies(X10,implies(X12,X11))))) = truth].
% 143.34/143.78 [4635=param(1024,4626),[132,4],
% 143.34/143.78 implies(not(implies(X10,X11)),implies(implies(X10,implies(X12,X11)),implies(X12,X13))) = truth].
% 143.34/143.78 [4639=param(4213,4635),[-230,132,132,4],
% 143.34/143.78 implies(implies(X10,implies(X11,X12)),implies(not(implies(X10,X12)),implies(X11,X13))) = truth].
% 143.34/143.78 [4642=param(4639,1496),[132],
% 143.34/143.78 implies(implies(X10,implies(X11,X12)),implies(not(implies(X13,not(X11))),implies(X10,X12))) = truth].
% 143.34/143.78 [4650=param(4642,4),[132],
% 143.34/143.78 implies(implies(X10,implies(X11,X12)),implies(X11,implies(X10,X12))) = truth].
% 143.34/143.78 [5234=param(2663,4452),[-1102,4],
% 143.34/143.78 not(implies(implies(X10,implies(X11,X12)),implies(X12,X10))) = not(implies(X12,X10))].
% 143.34/143.78 [5235=param(132,5234),[132],
% 143.34/143.78 implies(implies(X11,implies(X12,X10)),implies(X10,X11)) = implies(X10,X11)].
% 143.34/143.78 [5240=param(5235,301),[],
% 143.34/143.78 implies(implies(X10,implies(not(X11),X12)),implies(X11,X10)) = implies(X11,X10)].
% 143.34/143.78 [5254=param(5240,301),[132],
% 143.34/143.78 implies(implies(X10,implies(X11,X12)),implies(not(X10),X11)) = implies(not(X11),X10)].
% 143.34/143.78 [5259=param(5254,707),[],
% 143.34/143.78 implies(implies(X10,X11),implies(not(X10),implies(X11,X12))) = implies(not(implies(X11,X12)),X10)].
% 143.34/143.78 [5690=param(708,4650),[-1119,132,4,4650,-5259,116,132,4,4],
% 143.34/143.78 implies(not(implies(X10,X11)),not(X12)) = implies(X10,implies(X12,X11))].
% 143.34/143.78 [6416=param(6,5690),[-230,132,132,5],
% 143.34/143.78 thmtrue = thmfalse].
% 143.34/143.78 % SZS output end CNFRefutation
% 143.34/143.78 Space: 731550 KB
%------------------------------------------------------------------------------