TSTP Solution File: GRP407-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : GRP407-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n018.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 : Sat Jul 16 09:13:54 EDT 2022

% Result   : Unsatisfiable 0.95s 1.35s
% Output   : CNFRefutation 0.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP407-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14  % Command  : fiesta-wrapper %s
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 13 17:38:43 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.95/1.35  Theorem Proved.
% 0.95/1.35  % SZS status Unsatisfiable
% 0.95/1.35  % SZS output start CNFRefutation
% 0.95/1.35  [1=axiom,[],
% 0.95/1.35  			multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(X11),multiply(inverse(X11),X11))))) 	= X12].
% 0.95/1.35  [2=axiom,[],
% 0.95/1.35  			thtop(X10,X10) 	= thmfalse].
% 0.95/1.35  [3=axiom,[],
% 0.95/1.35  			thtop(multiply(multiply(inverse(b2),b2),a2),a2) 	= thmtrue].
% 0.95/1.35  [4=param(1,1),[],
% 0.95/1.35  			inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X12)),X13)),X11)),multiply(inverse(X13),multiply(inverse(X13),X13)))) 	= multiply(X10,inverse(multiply(inverse(X11),multiply(inverse(X12),multiply(inverse(X12),X12)))))].
% 0.95/1.35  [5=param(1,4),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),multiply(inverse(X11),multiply(inverse(X11),X11)))))) 	= X12].
% 0.95/1.35  [6=param(5,4),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X12,inverse(multiply(inverse(X13),multiply(inverse(X14),multiply(inverse(X14),X14))))))) 	= multiply(inverse(multiply(inverse(multiply(X12,X14)),X11)),X13)].
% 0.95/1.35  [7=param(6,1),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) 	= multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),X12))].
% 0.95/1.35  [12=param(7,6),[1],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) 	= multiply(inverse(multiply(X13,X11)),multiply(X13,X12))].
% 0.95/1.35  [13=param(12,1),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),X12) 	= multiply(inverse(multiply(X13,X11)),multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(X10,X14)),X12)),multiply(inverse(X14),multiply(inverse(X14),X14))))))].
% 0.95/1.35  [14=param(1,12),[],
% 0.95/1.35  			multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X13))),multiply(inverse(X12),multiply(inverse(X12),X12))))) 	= multiply(X10,X13)].
% 0.95/1.35  [15=param(1,12),[],
% 0.95/1.35  			multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,X12))),X13)),multiply(inverse(multiply(X11,X12)),multiply(inverse(multiply(X14,X12)),multiply(X14,X12)))))) 	= X13].
% 0.95/1.35  [16=param(5,12),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(multiply(X12,X13)),multiply(X12,multiply(inverse(X11),X11)))))) 	= multiply(inverse(X11),X13)].
% 0.95/1.35  [23=param(1,16),[],
% 0.95/1.35  			multiply(X10,inverse(multiply(inverse(multiply(inverse(X11),X12)),multiply(inverse(X11),multiply(inverse(X11),X11))))) 	= multiply(X10,inverse(multiply(inverse(multiply(X13,X12)),multiply(X13,multiply(inverse(X11),X11)))))].
% 0.95/1.35  [26=param(1,14),[1],
% 0.95/1.35  			inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X10))),multiply(inverse(X12),multiply(inverse(X12),X12)))) 	= X10].
% 0.95/1.35  [27=param(6,13),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(multiply(X13,X11)),X14)) 	= multiply(inverse(multiply(inverse(multiply(X10,X15)),X12)),multiply(inverse(multiply(X13,X15)),X14))].
% 0.95/1.35  [29=param(1,26),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,multiply(inverse(multiply(X10,X12)),multiply(inverse(multiply(X10,X12)),multiply(X10,X12)))))) 	= multiply(inverse(X11),multiply(inverse(X11),X11))].
% 0.95/1.35  [31=param(26,12),[],
% 0.95/1.35  			inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,X12))),multiply(X10,X13))),multiply(inverse(multiply(X11,X12)),multiply(inverse(multiply(X14,X12)),multiply(X14,X12))))) 	= X13].
% 0.95/1.35  [32=param(26,16),[],
% 0.95/1.35  			inverse(multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X10),multiply(inverse(X10),X10)))) 	= inverse(multiply(inverse(multiply(X12,X11)),multiply(X12,multiply(inverse(X10),X10))))].
% 0.95/1.35  [33=param(5,29),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(X12)))),multiply(inverse(X11),multiply(inverse(X11),X11))) 	= X12].
% 0.95/1.35  [35=param(29,12),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,multiply(inverse(multiply(X10,X12)),multiply(inverse(multiply(X13,X12)),multiply(X13,X12)))))) 	= multiply(inverse(X11),multiply(inverse(X11),X11))].
% 0.95/1.35  [36=param(15,7),[],
% 0.95/1.35  			multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(inverse(multiply(X11,X12)),X12))),X13)),multiply(inverse(multiply(X14,X12)),multiply(X14,multiply(X11,X12)))))) 	= X13].
% 0.95/1.35  [38=param(35,7),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),inverse(multiply(X11,multiply(inverse(multiply(X13,X11)),multiply(X13,multiply(X10,X11)))))) 	= multiply(inverse(X12),multiply(inverse(X12),X12))].
% 0.95/1.35  [39=param(35,13),[35],
% 0.95/1.35  			multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(multiply(inverse(multiply(inverse(X12),multiply(inverse(X12),X12))),multiply(inverse(X12),multiply(inverse(X12),X12)))))) 	= multiply(inverse(X10),multiply(inverse(X10),X10))].
% 0.95/1.35  [50=param(1,31),[35],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(inverse(multiply(X10,X11)),multiply(X10,X11))) 	= multiply(inverse(multiply(X10,X11)),multiply(inverse(multiply(X12,X11)),multiply(X12,X11)))].
% 0.95/1.35  [54=param(16,50),[16],
% 0.95/1.35  			multiply(inverse(X10),multiply(inverse(multiply(X11,X12)),multiply(X11,X12))) 	= multiply(inverse(X10),multiply(inverse(multiply(X13,X12)),multiply(X13,X12)))].
% 0.95/1.35  [56=param(54,26),[26],
% 0.95/1.35  			multiply(X10,multiply(inverse(multiply(X11,X12)),multiply(X11,X12))) 	= multiply(X10,multiply(inverse(multiply(X13,X12)),multiply(X13,X12)))].
% 0.95/1.35  [60=param(56,33),[33],
% 0.95/1.35  			multiply(X10,multiply(inverse(X11),X11)) 	= multiply(X10,multiply(inverse(multiply(X12,multiply(inverse(X13),multiply(inverse(X13),X13)))),multiply(X12,multiply(inverse(X13),multiply(inverse(X13),X13)))))].
% 0.95/1.35  [63=param(39,23),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(multiply(X12,multiply(inverse(X13),X13))),multiply(X12,multiply(inverse(X13),X13)))))) 	= multiply(inverse(X11),multiply(inverse(X11),X11))].
% 0.95/1.35  [66=param(1,60),[1],
% 0.95/1.35  			multiply(inverse(multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11)))),multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11)))) 	= multiply(inverse(X12),X12)].
% 0.95/1.35  [70=param(26,66),[],
% 0.95/1.35  			inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11)))),multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11))))),multiply(inverse(X12),multiply(inverse(X12),X12)))) 	= X12].
% 0.95/1.35  [71=param(32,66),[70],
% 0.95/1.35  			inverse(multiply(inverse(multiply(X11,X10)),multiply(X11,multiply(inverse(X10),X10)))) 	= X10].
% 0.95/1.35  [73=param(5,71),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,X11)) 	= multiply(inverse(X11),X11)].
% 0.95/1.35  [77=demod(66),[73,73,73],
% 0.95/1.35  			multiply(inverse(X10),X10) 	= multiply(inverse(X11),X11)].
% 0.95/1.35  [81=demod(63),[73,73],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),X12)))) 	= multiply(inverse(X11),multiply(inverse(X11),X11))].
% 0.95/1.35  [100=param(1,77),[],
% 0.95/1.35  			multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X11),X11)),X12)),multiply(inverse(X10),multiply(inverse(X10),X10))))) 	= X12].
% 0.95/1.35  [101=param(1,77),[],
% 0.95/1.35  			multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(X11),multiply(inverse(X13),X13))))) 	= X12].
% 0.95/1.35  [106=param(6,77),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(inverse(X12),X12))) 	= multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X13),multiply(inverse(X14),multiply(inverse(X14),X14))))),X14)),X11)),X13)].
% 0.95/1.35  [109=param(7,77),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X12),X12)) 	= multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),X10))].
% 0.95/1.35  [115=param(16,77),[],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X11),X11)),X12)),multiply(inverse(X13),X13))))) 	= multiply(inverse(X11),X12)].
% 0.95/1.35  [152=param(73,71),[73,73],
% 0.95/1.35  			multiply(X10,multiply(inverse(multiply(X11,X10)),multiply(X11,multiply(inverse(X10),X10)))) 	= multiply(inverse(X10),X10)].
% 0.95/1.35  [153=param(73,77),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11)) 	= multiply(inverse(X11),X11)].
% 0.95/1.35  [170=param(7,153),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(inverse(X10),X10)),X11)),multiply(inverse(X12),X12)) 	= multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),multiply(inverse(X12),X12)))].
% 0.95/1.35  [175=param(27,153),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(X13),X13)) 	= multiply(inverse(multiply(inverse(multiply(X10,X14)),X12)),multiply(inverse(multiply(inverse(X11),X14)),multiply(inverse(X13),X13)))].
% 0.95/1.35  [176=param(36,153),[],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(X10,X11)),X11)),inverse(multiply(inverse(multiply(inverse(X12),X12)),multiply(inverse(multiply(X13,X11)),multiply(X13,multiply(X10,X11)))))) 	= multiply(inverse(X12),X12)].
% 0.95/1.35  [178=param(38,153),[152,73,73],
% 0.95/1.35  			multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(inverse(X11),X11))) 	= multiply(inverse(X10),X10)].
% 0.95/1.35  [206=param(36,178),[73,176],
% 0.95/1.35  			multiply(inverse(X10),X10) 	= inverse(multiply(inverse(X11),X11))].
% 0.95/1.35  [211=param(3,206),[],
% 0.95/1.35  			thtop(multiply(inverse(multiply(inverse(X10),X10)),a2),a2) 	= thmtrue].
% 0.95/1.35  [213=param(6,206),[81],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X11),multiply(inverse(X12),multiply(inverse(X12),X12))))),X12)),X10)),X11) 	= multiply(inverse(X10),multiply(inverse(X10),X10))].
% 0.95/1.35  [214=demod(106),[213],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(inverse(X12),X12))) 	= multiply(inverse(X11),multiply(inverse(X11),X11))].
% 0.95/1.35  [215=demod(170),[214],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(inverse(X10),X10)),X11)),multiply(inverse(X12),X12)) 	= multiply(inverse(X11),multiply(inverse(X11),X11))].
% 0.95/1.35  [219=demod(115),[215],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),multiply(inverse(X12),X12))))) 	= multiply(inverse(X11),X12)].
% 0.95/1.35  [236=demod(71),[214],
% 0.95/1.35  			inverse(multiply(inverse(X10),multiply(inverse(X10),X10))) 	= X10].
% 0.95/1.35  [247=demod(219),[236],
% 0.95/1.35  			multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) 	= multiply(inverse(X11),X12)].
% 0.95/1.35  [248=demod(109),[247],
% 0.95/1.35  			multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X12),X12)) 	= multiply(inverse(X11),X10)].
% 0.95/1.35  [251=demod(175),[248,248],
% 0.95/1.35  			multiply(inverse(multiply(inverse(multiply(X11,X13)),X10)),multiply(inverse(X13),X12)) 	= multiply(inverse(X10),multiply(X11,X12))].
% 0.95/1.35  [252=demod(101),[251],
% 0.95/1.35  			multiply(X10,inverse(multiply(inverse(X11),multiply(X10,multiply(inverse(X12),X12))))) 	= X11].
% 0.95/1.35  [253=demod(100),[252],
% 0.95/1.35  			multiply(inverse(multiply(inverse(X10),X10)),X11) 	= X11].
% 0.95/1.35  [302=param(211,253),[2],
% 0.95/1.35  			thmtrue 	= thmfalse].
% 0.95/1.35  % SZS output end CNFRefutation
% 0.95/1.35  Space:    548 KB 
%------------------------------------------------------------------------------