TSTP Solution File: BOO014-4 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n029.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 : Thu Jul 14 23:38:48 EDT 2022
% Result : Unsatisfiable 1.27s 1.70s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n029.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 : Wed Jun 1 22:09:01 EDT 2022
% 0.18/0.34 % CPUTime :
% 1.27/1.70 Theorem Proved.
% 1.27/1.70 % SZS status Unsatisfiable
% 1.27/1.70 % SZS output start CNFRefutation
% 1.27/1.70 [1=axiom,[],
% 1.27/1.70 multiply(X10,inverse(X10)) = additive_identity].
% 1.27/1.70 [2=axiom,[],
% 1.27/1.70 add(X10,inverse(X10)) = multiplicative_identity].
% 1.27/1.70 [3=axiom,[],
% 1.27/1.70 multiply(X10,multiplicative_identity) = X10].
% 1.27/1.70 [4=axiom,[],
% 1.27/1.70 add(X10,additive_identity) = X10].
% 1.27/1.70 [5=axiom,[],
% 1.27/1.70 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))].
% 1.27/1.70 [6=axiom,[],
% 1.27/1.70 add(X10,multiply(X11,X12)) = multiply(add(X10,X11),add(X10,X12))].
% 1.27/1.70 [7=demod(5),[6],
% 1.27/1.70 multiply(add(multiply(X10,X11),X10),add(multiply(X10,X11),X12)) = multiply(X10,add(X11,X12))].
% 1.27/1.70 [8=axiom,[],
% 1.27/1.70 multiply(X10,X11) = multiply(X11,X10)].
% 1.27/1.70 [9=axiom,[],
% 1.27/1.70 add(X10,X11) = add(X11,X10)].
% 1.27/1.70 [10=demod(7),[9,6],
% 1.27/1.70 multiply(multiply(add(X10,X10),add(X10,X11)),add(multiply(X10,X11),X12)) = multiply(X10,add(X11,X12))].
% 1.27/1.70 [11=axiom,[],
% 1.27/1.70 thtop(X10,X10) = thmfalse].
% 1.27/1.70 [12=axiom,[9,8],
% 1.27/1.70 thtop(inverse(add(b,a)),multiply(inverse(b),inverse(a))) = thmtrue].
% 1.27/1.70 [13=param(9,4),[],
% 1.27/1.70 add(additive_identity,X10) = X10].
% 1.27/1.70 [14=param(13,2),[],
% 1.27/1.70 inverse(additive_identity) = multiplicative_identity].
% 1.27/1.70 [15=param(6,1),[4],
% 1.27/1.70 multiply(add(X10,X11),add(X10,inverse(X11))) = X10].
% 1.27/1.70 [16=param(6,3),[],
% 1.27/1.70 multiply(add(X10,X11),add(X10,multiplicative_identity)) = add(X10,X11)].
% 1.27/1.70 [17=param(6,9),[],
% 1.27/1.70 multiply(add(X10,X11),add(X10,X12)) = add(multiply(X11,X12),X10)].
% 1.27/1.70 [18=param(8,3),[],
% 1.27/1.70 multiply(multiplicative_identity,X10) = X10].
% 1.27/1.70 [19=param(10,1),[2,3,13],
% 1.27/1.70 multiply(X10,add(inverse(X10),X11)) = multiply(add(X10,X10),X11)].
% 1.27/1.70 [20=param(10,3),[16],
% 1.27/1.70 multiply(add(X10,X10),add(X10,X11)) = multiply(X10,add(multiplicative_identity,X11))].
% 1.27/1.70 [27=param(15,2),[18],
% 1.27/1.70 add(X10,inverse(inverse(X10))) = X10].
% 1.27/1.70 [28=param(15,2),[3],
% 1.27/1.70 add(X10,X10) = X10].
% 1.27/1.70 [31=demod(20),[28],
% 1.27/1.70 multiply(X10,add(X10,X11)) = multiply(X10,add(multiplicative_identity,X11))].
% 1.27/1.70 [33=demod(19),[28],
% 1.27/1.70 multiply(X10,add(inverse(X10),X11)) = multiply(X10,X11)].
% 1.27/1.70 [34=demod(10),[28],
% 1.27/1.70 multiply(multiply(X10,add(X10,X11)),add(multiply(X10,X11),X12)) = multiply(X10,add(X11,X12))].
% 1.27/1.70 [36=param(15,9),[],
% 1.27/1.70 multiply(add(X10,X11),add(X11,inverse(X10))) = X11].
% 1.27/1.70 [37=param(15,9),[],
% 1.27/1.70 multiply(add(X10,X11),add(inverse(X11),X10)) = X10].
% 1.27/1.70 [41=param(16,2),[18,2],
% 1.27/1.70 add(X10,multiplicative_identity) = multiplicative_identity].
% 1.27/1.70 [42=param(41,9),[],
% 1.27/1.70 add(multiplicative_identity,X10) = multiplicative_identity].
% 1.27/1.70 [44=demod(31),[42,3],
% 1.27/1.70 multiply(X10,add(X10,X11)) = X10].
% 1.27/1.70 [45=demod(34),[44],
% 1.27/1.70 multiply(X10,add(multiply(X10,X11),X12)) = multiply(X10,add(X11,X12))].
% 1.27/1.70 [51=param(17,9),[],
% 1.27/1.70 multiply(add(X10,X11),add(X11,X12)) = add(multiply(X10,X12),X11)].
% 1.27/1.70 [53=param(17,2),[9,9],
% 1.27/1.70 multiply(add(X10,inverse(multiply(X10,X11))),add(X11,inverse(multiply(X10,X11)))) = multiplicative_identity].
% 1.27/1.70 [59=param(6,44),[],
% 1.27/1.70 multiply(add(X10,X11),add(X10,add(X11,X12))) = add(X10,X11)].
% 1.27/1.70 [60=param(44,9),[],
% 1.27/1.70 multiply(X10,add(X11,X10)) = X10].
% 1.27/1.70 [61=param(44,17),[],
% 1.27/1.70 multiply(multiply(X10,X11),multiply(add(X12,X10),add(X12,X11))) = multiply(X10,X11)].
% 1.27/1.70 [68=param(36,27),[9,2,3],
% 1.27/1.70 inverse(inverse(X10)) = X10].
% 1.27/1.70 [69=param(6,60),[],
% 1.27/1.70 multiply(add(X10,X11),add(X10,add(X12,X11))) = add(X10,X11)].
% 1.27/1.70 [73=param(45,9),[6],
% 1.27/1.70 multiply(X10,multiply(add(X11,X10),add(X11,X12))) = multiply(X10,add(X12,X11))].
% 1.27/1.70 [95=param(51,9),[],
% 1.27/1.70 add(multiply(X10,X12),X11) = multiply(add(X10,X11),add(X12,X11))].
% 1.27/1.70 [101=demod(45),[95],
% 1.27/1.70 multiply(X10,multiply(add(X10,X11),add(X12,X11))) = multiply(X10,add(X12,X11))].
% 1.27/1.70 [104=param(44,95),[],
% 1.27/1.70 multiply(multiply(X10,X11),multiply(add(X10,X12),add(X11,X12))) = multiply(X10,X11)].
% 1.27/1.70 [119=param(59,2),[18,2],
% 1.27/1.70 add(X10,add(inverse(X10),X11)) = multiplicative_identity].
% 1.27/1.70 [122=param(59,28),[9,8,60,9],
% 1.27/1.70 add(X10,add(X10,X11)) = add(X10,X11)].
% 1.27/1.70 [123=param(15,119),[18],
% 1.27/1.70 add(X10,inverse(add(inverse(X10),X11))) = X10].
% 1.27/1.70 [124=param(59,119),[18,119],
% 1.27/1.70 add(X10,add(add(inverse(X10),X11),X12)) = multiplicative_identity].
% 1.27/1.70 [129=param(61,28),[8,44,8],
% 1.27/1.70 multiply(X10,multiply(X11,X10)) = multiply(X11,X10)].
% 1.27/1.70 [134=param(69,2),[18,2],
% 1.27/1.70 add(X10,add(X11,inverse(X10))) = multiplicative_identity].
% 1.27/1.70 [138=param(69,119),[18,119],
% 1.27/1.70 add(X10,add(X11,add(inverse(X10),X12))) = multiplicative_identity].
% 1.27/1.70 [140=param(15,134),[18],
% 1.27/1.70 add(X10,inverse(add(X11,inverse(X10)))) = X10].
% 1.27/1.70 [141=param(59,134),[18,134],
% 1.27/1.70 add(X10,add(add(X11,inverse(X10)),X12)) = multiplicative_identity].
% 1.27/1.70 [145=param(73,9),[],
% 1.27/1.70 multiply(X10,multiply(add(X11,X10),add(X12,X11))) = multiply(X10,add(X12,X11))].
% 1.27/1.70 [154=param(33,140),[1,68],
% 1.27/1.70 multiply(X10,inverse(add(X11,X10))) = additive_identity].
% 1.27/1.70 [155=param(36,140),[9,33],
% 1.27/1.70 multiply(X10,inverse(add(X11,inverse(X10)))) = inverse(add(X11,inverse(X10)))].
% 1.27/1.70 [161=param(154,6),[],
% 1.27/1.70 multiply(multiply(X10,X11),inverse(multiply(add(X12,X10),add(X12,X11)))) = additive_identity].
% 1.27/1.70 [176=param(37,141),[68,9,3,68],
% 1.27/1.70 add(X10,add(add(X11,X10),X12)) = add(add(X11,X10),X12)].
% 1.27/1.70 [190=param(37,124),[68,9,3,68],
% 1.27/1.70 add(X10,add(add(X10,X11),X12)) = add(add(X10,X11),X12)].
% 1.27/1.70 [197=param(190,9),[176],
% 1.27/1.70 add(add(X10,X11),X12) = add(add(X11,X10),X12)].
% 1.27/1.70 [201=param(190,134),[9],
% 1.27/1.70 add(inverse(X10),add(X10,X11)) = multiplicative_identity].
% 1.27/1.70 [202=param(190,138),[],
% 1.27/1.70 add(add(X10,X11),add(inverse(X10),X12)) = multiplicative_identity].
% 1.27/1.70 [204=param(201,9),[],
% 1.27/1.70 add(inverse(X10),add(X11,X10)) = multiplicative_identity].
% 1.27/1.70 [211=param(15,204),[18],
% 1.27/1.70 add(inverse(X10),inverse(add(X11,X10))) = inverse(X10)].
% 1.27/1.70 [213=param(69,204),[18,204],
% 1.27/1.70 add(inverse(X10),add(X11,add(X12,X10))) = multiplicative_identity].
% 1.27/1.70 [223=param(213,190),[],
% 1.27/1.70 add(add(inverse(X10),X11),add(X12,X10)) = multiplicative_identity].
% 1.27/1.70 [227=param(223,9),[],
% 1.27/1.70 add(add(X10,inverse(X11)),add(X12,X11)) = multiplicative_identity].
% 1.27/1.70 [236=param(15,227),[18],
% 1.27/1.70 add(add(X10,inverse(X11)),inverse(add(X12,X11))) = add(X10,inverse(X11))].
% 1.27/1.70 [368=param(104,122),[60],
% 1.27/1.70 multiply(multiply(X10,X11),add(X10,X12)) = multiply(X10,X11)].
% 1.27/1.70 [561=param(145,123),[8,123],
% 1.27/1.70 multiply(X10,multiply(X11,add(inverse(add(inverse(X11),X12)),X10))) = multiply(X10,X11)].
% 1.27/1.70 [702=param(161,211),[8,44,68,8],
% 1.27/1.70 multiply(X10,multiply(X11,inverse(add(X12,X10)))) = additive_identity].
% 1.27/1.70 [778=param(702,211),[68],
% 1.27/1.70 multiply(inverse(add(X10,X11)),multiply(X12,X11)) = additive_identity].
% 1.27/1.70 [786=param(778,8),[],
% 1.27/1.70 multiply(multiply(X10,X11),inverse(add(X12,X11))) = additive_identity].
% 1.27/1.70 [787=param(778,8),[],
% 1.27/1.70 multiply(inverse(add(X10,X11)),multiply(X11,X12)) = additive_identity].
% 1.27/1.70 [828=param(787,8),[],
% 1.27/1.70 multiply(multiply(X10,X11),inverse(add(X12,X10))) = additive_identity].
% 1.27/1.70 [829=param(787,9),[],
% 1.27/1.70 multiply(inverse(add(X10,X11)),multiply(X10,X12)) = additive_identity].
% 1.27/1.70 [840=param(829,8),[],
% 1.27/1.70 multiply(multiply(X10,X11),inverse(add(X10,X12))) = additive_identity].
% 1.27/1.70 [856=param(840,155),[],
% 1.27/1.70 inverse(add(X10,inverse(multiply(X10,X11)))) = additive_identity].
% 1.27/1.70 [857=param(2,856),[4],
% 1.27/1.70 add(X10,inverse(multiply(X10,X11))) = multiplicative_identity].
% 1.27/1.70 [858=demod(53),[857,18],
% 1.27/1.70 add(X10,inverse(multiply(X11,X10))) = multiplicative_identity].
% 1.27/1.70 [863=param(36,858),[9,18],
% 1.27/1.70 add(inverse(X10),inverse(multiply(X11,X10))) = inverse(multiply(X11,X10))].
% 1.27/1.70 [929=param(36,857),[9,18],
% 1.27/1.70 add(inverse(X10),inverse(multiply(X10,X11))) = inverse(multiply(X10,X11))].
% 1.27/1.70 [930=param(37,857),[9,3],
% 1.27/1.70 add(X10,inverse(multiply(inverse(X10),X11))) = inverse(multiply(inverse(X10),X11))].
% 1.27/1.70 [1160=param(786,9),[],
% 1.27/1.70 multiply(multiply(X10,X11),inverse(add(X11,X12))) = additive_identity].
% 1.27/1.70 [1218=param(1160,929),[68],
% 1.27/1.70 multiply(multiply(X10,inverse(X11)),multiply(X11,X12)) = additive_identity].
% 1.27/1.70 [1222=param(1218,8),[],
% 1.27/1.70 multiply(multiply(X10,inverse(X11)),multiply(X12,X11)) = additive_identity].
% 1.27/1.70 [1485=param(15,930),[68,6,2,18],
% 1.27/1.70 multiply(inverse(multiply(inverse(X10),X11)),add(X10,X11)) = X10].
% 1.27/1.70 [1492=param(104,930),[60],
% 1.27/1.70 multiply(multiply(X10,X11),inverse(multiply(inverse(X10),X12))) = multiply(X10,X11)].
% 1.27/1.70 [1512=param(1485,9),[],
% 1.27/1.70 multiply(inverse(multiply(inverse(X10),X11)),add(X11,X10)) = X10].
% 1.27/1.70 [1517=param(1485,863),[68,8],
% 1.27/1.70 multiply(inverse(multiply(X10,X11)),inverse(multiply(X11,inverse(multiply(X10,X11))))) = inverse(X11)].
% 1.27/1.70 [1518=param(1485,929),[68,8],
% 1.27/1.70 multiply(inverse(multiply(X10,X11)),inverse(multiply(X10,inverse(multiply(X10,X11))))) = inverse(X10)].
% 1.27/1.70 [1520=param(1512,123),[68,8,33,8],
% 1.27/1.70 inverse(add(inverse(X10),X11)) = multiply(X10,inverse(multiply(X10,X11)))].
% 1.27/1.70 [1522=demod(561),[1520,95,101],
% 1.27/1.70 multiply(X10,multiply(X11,add(inverse(multiply(X11,X12)),X10))) = multiply(X10,X11)].
% 1.27/1.70 [1532=param(1512,202),[1520,368,3],
% 1.27/1.70 add(inverse(X10),X11) = inverse(multiply(X10,inverse(multiply(X10,X11))))].
% 1.27/1.70 [1551=demod(1522),[1532],
% 1.27/1.70 multiply(X10,multiply(X11,inverse(multiply(multiply(X11,X12),inverse(multiply(multiply(X11,X12),X10)))))) = multiply(X10,X11)].
% 1.27/1.70 [1641=demod(1485),[],
% 1.27/1.70 multiply(inverse(multiply(inverse(X10),X11)),add(X10,X11)) = X10].
% 1.27/1.70 [1685=demod(33),[1532],
% 1.27/1.70 multiply(X10,inverse(multiply(X10,inverse(multiply(X10,X11))))) = multiply(X10,X11)].
% 1.27/1.70 [1772=param(236,197),[1532,1532,828,14,3],
% 1.27/1.70 add(X10,inverse(X11)) = inverse(multiply(X11,inverse(multiply(X11,X10))))].
% 1.27/1.70 [1855=demod(1641),[],
% 1.27/1.70 multiply(inverse(multiply(inverse(X10),X11)),add(X10,X11)) = X10].
% 1.27/1.70 [1899=param(1772,68),[],
% 1.27/1.70 add(X10,X11) = inverse(multiply(inverse(X11),inverse(multiply(inverse(X11),X10))))].
% 1.27/1.70 [1913=demod(1855),[1899],
% 1.27/1.70 multiply(inverse(multiply(inverse(X10),X11)),inverse(multiply(inverse(X11),inverse(multiply(inverse(X11),X10))))) = X10].
% 1.27/1.70 [2445=param(12,1899),[8,68],
% 1.27/1.70 thtop(multiply(inverse(a),inverse(multiply(b,inverse(a)))),multiply(inverse(b),inverse(a))) = thmtrue].
% 1.27/1.70 [2446=param(1685,8),[],
% 1.27/1.70 multiply(X10,inverse(multiply(X10,inverse(multiply(X11,X10))))) = multiply(X10,X11)].
% 1.27/1.70 [2559=param(1492,8),[],
% 1.27/1.70 multiply(inverse(multiply(inverse(X10),X12)),multiply(X10,X11)) = multiply(X10,X11)].
% 1.27/1.70 [2600=param(2559,1517),[68],
% 1.27/1.70 multiply(X10,multiply(multiply(X11,X10),X12)) = multiply(multiply(X11,X10),X12)].
% 1.27/1.70 [2604=param(2600,129),[129],
% 1.27/1.70 multiply(X10,multiply(X11,multiply(X12,X10))) = multiply(X11,multiply(X12,X10))].
% 1.27/1.70 [2620=param(2604,8),[],
% 1.27/1.70 multiply(X10,multiply(X11,multiply(X10,X12))) = multiply(X11,multiply(X12,X10))].
% 1.27/1.70 [2633=param(2559,1518),[68],
% 1.27/1.70 multiply(X10,multiply(multiply(X10,X11),X12)) = multiply(multiply(X10,X11),X12)].
% 1.27/1.70 [2636=param(2633,129),[129],
% 1.27/1.70 multiply(X10,multiply(X11,multiply(X10,X12))) = multiply(X11,multiply(X10,X12))].
% 1.27/1.70 [2637=demod(2620),[2636],
% 1.27/1.70 multiply(X10,multiply(X11,X12)) = multiply(X10,multiply(X12,X11))].
% 1.27/1.70 [2656=param(2637,8),[],
% 1.27/1.70 multiply(X10,multiply(X11,X12)) = multiply(multiply(X12,X11),X10)].
% 1.27/1.70 [2669=param(1551,18),[18,18,3],
% 1.27/1.70 multiply(X10,inverse(multiply(X11,inverse(multiply(X11,X10))))) = X10].
% 1.27/1.70 [2671=param(2669,8),[],
% 1.27/1.70 multiply(X10,inverse(multiply(X11,inverse(multiply(X10,X11))))) = X10].
% 1.27/1.70 [2691=param(1222,2671),[],
% 1.27/1.70 multiply(X10,multiply(X11,multiply(X12,inverse(multiply(X10,X12))))) = additive_identity].
% 1.27/1.70 [2743=param(2691,2633),[],
% 1.27/1.70 multiply(multiply(X10,X11),multiply(X12,inverse(multiply(X10,X12)))) = additive_identity].
% 1.27/1.70 [2753=param(2743,2656),[],
% 1.27/1.70 multiply(multiply(X10,inverse(multiply(X11,X10))),multiply(X12,X11)) = additive_identity].
% 1.27/1.70 [2756=param(1551,2753),[14,3,2446],
% 1.27/1.70 multiply(multiply(X10,X11),multiply(X12,X11)) = multiply(multiply(X10,X11),X12)].
% 1.27/1.70 [2758=param(2756,8),[2756],
% 1.27/1.70 multiply(multiply(X10,X11),X12) = multiply(multiply(X12,X11),X10)].
% 1.27/1.70 [2816=param(2758,2656),[],
% 1.27/1.70 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 1.27/1.70 [2863=demod(1492),[2816],
% 1.27/1.70 multiply(X10,multiply(X11,inverse(multiply(inverse(X10),X12)))) = multiply(X10,X11)].
% 1.27/1.70 [3261=param(2863,1913),[],
% 1.27/1.70 multiply(X10,inverse(multiply(inverse(X11),X10))) = multiply(X10,X11)].
% 1.27/1.70 [3331=param(3261,68),[],
% 1.27/1.70 multiply(X10,inverse(multiply(X11,X10))) = multiply(X10,inverse(X11))].
% 1.27/1.70 [3513=param(2445,3331),[8,11],
% 1.27/1.70 thmtrue = thmfalse].
% 1.27/1.70 % SZS output end CNFRefutation
% 1.27/1.70 Space: 5450 KB
%------------------------------------------------------------------------------