TSTP Solution File: SYO607+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 21 19:22:49 EDT 2022

% Result   : Theorem 178.33s 178.61s
% Output   : Refutation 178.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n023.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 : Fri Jul  8 20:18:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 178.33/178.61  # Version:  1.3
% 178.33/178.61  # SZS status Theorem
% 178.33/178.61  # SZS output start CNFRefutation
% 178.33/178.61  fof(nc6,conjecture,(((?[A]:(g_false_only(a,A)&(?[B]:g_false_only(A,B))))|(?[A]:(![B]:g_true_only(A,B))))|((((?[A]:(((g_both(a,A)|((?[B]:g_both(A,B))&(~(?[B]:g_false_only(A,B)))))&(~g_true_only(a,A)))&(~(![B]:g_true_only(A,B)))))&(~(?[A]:(g_false_only(a,A)&(?[B]:g_false_only(A,B))))))&(?[A]:((?[B]:g_both(A,B))&(~(?[B]:g_false_only(A,B))))))&(~(?[A]:(![B]:g_true_only(A,B)))))),input).
% 178.33/178.61  fof(c28,negated_conjecture,(~(((?[A]:(g_false_only(a,A)&(?[B]:g_false_only(A,B))))|(?[A]:(![B]:g_true_only(A,B))))|((((?[A]:(((g_both(a,A)|((?[B]:g_both(A,B))&(~(?[B]:g_false_only(A,B)))))&(~g_true_only(a,A)))&(~(![B]:g_true_only(A,B)))))&(~(?[A]:(g_false_only(a,A)&(?[B]:g_false_only(A,B))))))&(?[A]:((?[B]:g_both(A,B))&(~(?[B]:g_false_only(A,B))))))&(~(?[A]:(![B]:g_true_only(A,B))))))),inference(assume_negation,status(cth),[nc6])).
% 178.33/178.61  fof(c29,negated_conjecture,(~(((?[A]:(g_false_only(a,A)&(?[B]:g_false_only(A,B))))|(?[A]:(![B]:g_true_only(A,B))))|((((?[A]:(((g_both(a,A)|((?[B]:g_both(A,B))&(~(?[B]:g_false_only(A,B)))))&~g_true_only(a,A))&(~(![B]:g_true_only(A,B)))))&(~(?[A]:(g_false_only(a,A)&(?[B]:g_false_only(A,B))))))&(?[A]:((?[B]:g_both(A,B))&(~(?[B]:g_false_only(A,B))))))&(~(?[A]:(![B]:g_true_only(A,B))))))),inference(fof_simplification,status(thm),[c28])).
% 178.33/178.61  fof(c30,negated_conjecture,(((![A]:(~g_false_only(a,A)|(![B]:~g_false_only(A,B))))&(![A]:(?[B]:~g_true_only(A,B))))&((((![A]:(((~g_both(a,A)&((![B]:~g_both(A,B))|(?[B]:g_false_only(A,B))))|g_true_only(a,A))|(![B]:g_true_only(A,B))))|(?[A]:(g_false_only(a,A)&(?[B]:g_false_only(A,B)))))|(![A]:((![B]:~g_both(A,B))|(?[B]:g_false_only(A,B)))))|(?[A]:(![B]:g_true_only(A,B))))),inference(fof_nnf,status(thm),[c29])).
% 178.33/178.61  fof(c31,negated_conjecture,(((![X16]:(~g_false_only(a,X16)|(![X17]:~g_false_only(X16,X17))))&(![X18]:(?[X19]:~g_true_only(X18,X19))))&((((![X20]:(((~g_both(a,X20)&((![X21]:~g_both(X20,X21))|(?[X22]:g_false_only(X20,X22))))|g_true_only(a,X20))|(![X23]:g_true_only(X20,X23))))|(?[X24]:(g_false_only(a,X24)&(?[X25]:g_false_only(X24,X25)))))|(![X26]:((![X27]:~g_both(X26,X27))|(?[X28]:g_false_only(X26,X28)))))|(?[X29]:(![X30]:g_true_only(X29,X30))))),inference(variable_rename,status(thm),[c30])).
% 178.33/178.61  fof(c33,negated_conjecture,(![X16]:(![X17]:(![X18]:(![X20]:(![X21]:(![X23]:(![X26]:(![X27]:(![X30]:(((~g_false_only(a,X16)|~g_false_only(X16,X17))&~g_true_only(X18,skolem0001(X18)))&((((((~g_both(a,X20)&(~g_both(X20,X21)|g_false_only(X20,skolem0002(X20))))|g_true_only(a,X20))|g_true_only(X20,X23))|(g_false_only(a,skolem0003)&g_false_only(skolem0003,skolem0004)))|(~g_both(X26,X27)|g_false_only(X26,skolem0005(X26))))|g_true_only(skolem0006,X30)))))))))))),inference(shift_quantors,status(thm),[fof(c32,negated_conjecture,(((![X16]:(~g_false_only(a,X16)|(![X17]:~g_false_only(X16,X17))))&(![X18]:~g_true_only(X18,skolem0001(X18))))&((((![X20]:(((~g_both(a,X20)&((![X21]:~g_both(X20,X21))|g_false_only(X20,skolem0002(X20))))|g_true_only(a,X20))|(![X23]:g_true_only(X20,X23))))|(g_false_only(a,skolem0003)&g_false_only(skolem0003,skolem0004)))|(![X26]:((![X27]:~g_both(X26,X27))|g_false_only(X26,skolem0005(X26)))))|(![X30]:g_true_only(skolem0006,X30)))),inference(skolemize,status(esa),[c31])).])).
% 178.33/178.61  fof(c34,negated_conjecture,(![X16]:(![X17]:(![X18]:(![X20]:(![X21]:(![X23]:(![X26]:(![X27]:(![X30]:(((~g_false_only(a,X16)|~g_false_only(X16,X17))&~g_true_only(X18,skolem0001(X18)))&(((((((~g_both(a,X20)|g_true_only(a,X20))|g_true_only(X20,X23))|g_false_only(a,skolem0003))|(~g_both(X26,X27)|g_false_only(X26,skolem0005(X26))))|g_true_only(skolem0006,X30))&(((((~g_both(a,X20)|g_true_only(a,X20))|g_true_only(X20,X23))|g_false_only(skolem0003,skolem0004))|(~g_both(X26,X27)|g_false_only(X26,skolem0005(X26))))|g_true_only(skolem0006,X30)))&(((((((~g_both(X20,X21)|g_false_only(X20,skolem0002(X20)))|g_true_only(a,X20))|g_true_only(X20,X23))|g_false_only(a,skolem0003))|(~g_both(X26,X27)|g_false_only(X26,skolem0005(X26))))|g_true_only(skolem0006,X30))&((((((~g_both(X20,X21)|g_false_only(X20,skolem0002(X20)))|g_true_only(a,X20))|g_true_only(X20,X23))|g_false_only(skolem0003,skolem0004))|(~g_both(X26,X27)|g_false_only(X26,skolem0005(X26))))|g_true_only(skolem0006,X30)))))))))))))),inference(distribute,status(thm),[c33])).
% 178.33/178.61  cnf(c36,negated_conjecture,~g_true_only(X31,skolem0001(X31)),inference(split_conjunct,status(thm),[c34])).
% 178.33/178.61  fof(false_only_g,axiom,(![X_2]:(![X_1]:(g_false_only(X_2,X_1)<=>(g_false(X_2,X_1)&(~g_true(X_2,X_1)))))),input).
% 178.33/178.61  fof(c2,axiom,(![X_2]:(![X_1]:(g_false_only(X_2,X_1)<=>(g_false(X_2,X_1)&~g_true(X_2,X_1))))),inference(fof_simplification,status(thm),[false_only_g])).
% 178.33/178.61  fof(c3,axiom,(![X_2]:(![X_1]:((~g_false_only(X_2,X_1)|(g_false(X_2,X_1)&~g_true(X_2,X_1)))&((~g_false(X_2,X_1)|g_true(X_2,X_1))|g_false_only(X_2,X_1))))),inference(fof_nnf,status(thm),[c2])).
% 178.33/178.61  fof(c4,axiom,((![X_2]:(![X_1]:(~g_false_only(X_2,X_1)|(g_false(X_2,X_1)&~g_true(X_2,X_1)))))&(![X_2]:(![X_1]:((~g_false(X_2,X_1)|g_true(X_2,X_1))|g_false_only(X_2,X_1))))),inference(shift_quantors,status(thm),[c3])).
% 178.33/178.61  fof(c6,axiom,(![X4]:(![X5]:(![X6]:(![X7]:((~g_false_only(X4,X5)|(g_false(X4,X5)&~g_true(X4,X5)))&((~g_false(X6,X7)|g_true(X6,X7))|g_false_only(X6,X7))))))),inference(shift_quantors,status(thm),[fof(c5,axiom,((![X4]:(![X5]:(~g_false_only(X4,X5)|(g_false(X4,X5)&~g_true(X4,X5)))))&(![X6]:(![X7]:((~g_false(X6,X7)|g_true(X6,X7))|g_false_only(X6,X7))))),inference(variable_rename,status(thm),[c4])).])).
% 178.33/178.61  fof(c7,axiom,(![X4]:(![X5]:(![X6]:(![X7]:(((~g_false_only(X4,X5)|g_false(X4,X5))&(~g_false_only(X4,X5)|~g_true(X4,X5)))&((~g_false(X6,X7)|g_true(X6,X7))|g_false_only(X6,X7))))))),inference(distribute,status(thm),[c6])).
% 178.33/178.61  cnf(c9,axiom,~g_false_only(X35,X34)|~g_true(X35,X34),inference(split_conjunct,status(thm),[c7])).
% 178.33/178.61  cnf(c10,axiom,~g_false(X49,X48)|g_true(X49,X48)|g_false_only(X49,X48),inference(split_conjunct,status(thm),[c7])).
% 178.33/178.61  fof(true_only_g,axiom,(![X_2]:(![X_1]:(g_true_only(X_2,X_1)<=>(g_true(X_2,X_1)&(~g_false(X_2,X_1)))))),input).
% 178.33/178.61  fof(c19,axiom,(![X_2]:(![X_1]:(g_true_only(X_2,X_1)<=>(g_true(X_2,X_1)&~g_false(X_2,X_1))))),inference(fof_simplification,status(thm),[true_only_g])).
% 178.33/178.61  fof(c20,axiom,(![X_2]:(![X_1]:((~g_true_only(X_2,X_1)|(g_true(X_2,X_1)&~g_false(X_2,X_1)))&((~g_true(X_2,X_1)|g_false(X_2,X_1))|g_true_only(X_2,X_1))))),inference(fof_nnf,status(thm),[c19])).
% 178.33/178.61  fof(c21,axiom,((![X_2]:(![X_1]:(~g_true_only(X_2,X_1)|(g_true(X_2,X_1)&~g_false(X_2,X_1)))))&(![X_2]:(![X_1]:((~g_true(X_2,X_1)|g_false(X_2,X_1))|g_true_only(X_2,X_1))))),inference(shift_quantors,status(thm),[c20])).
% 178.33/178.61  fof(c23,axiom,(![X12]:(![X13]:(![X14]:(![X15]:((~g_true_only(X12,X13)|(g_true(X12,X13)&~g_false(X12,X13)))&((~g_true(X14,X15)|g_false(X14,X15))|g_true_only(X14,X15))))))),inference(shift_quantors,status(thm),[fof(c22,axiom,((![X12]:(![X13]:(~g_true_only(X12,X13)|(g_true(X12,X13)&~g_false(X12,X13)))))&(![X14]:(![X15]:((~g_true(X14,X15)|g_false(X14,X15))|g_true_only(X14,X15))))),inference(variable_rename,status(thm),[c21])).])).
% 178.33/178.61  fof(c24,axiom,(![X12]:(![X13]:(![X14]:(![X15]:(((~g_true_only(X12,X13)|g_true(X12,X13))&(~g_true_only(X12,X13)|~g_false(X12,X13)))&((~g_true(X14,X15)|g_false(X14,X15))|g_true_only(X14,X15))))))),inference(distribute,status(thm),[c23])).
% 178.33/178.61  cnf(c25,axiom,~g_true_only(X42,X43)|g_true(X42,X43),inference(split_conjunct,status(thm),[c24])).
% 178.33/178.61  cnf(c8,axiom,~g_false_only(X33,X32)|g_false(X33,X32),inference(split_conjunct,status(thm),[c7])).
% 178.33/178.61  fof(both_g,axiom,(![X_2]:(![X_1]:(g_both(X_2,X_1)<=>(g_true(X_2,X_1)&g_false(X_2,X_1))))),input).
% 178.33/178.61  fof(c11,axiom,(![X_2]:(![X_1]:((~g_both(X_2,X_1)|(g_true(X_2,X_1)&g_false(X_2,X_1)))&((~g_true(X_2,X_1)|~g_false(X_2,X_1))|g_both(X_2,X_1))))),inference(fof_nnf,status(thm),[both_g])).
% 178.33/178.61  fof(c12,axiom,((![X_2]:(![X_1]:(~g_both(X_2,X_1)|(g_true(X_2,X_1)&g_false(X_2,X_1)))))&(![X_2]:(![X_1]:((~g_true(X_2,X_1)|~g_false(X_2,X_1))|g_both(X_2,X_1))))),inference(shift_quantors,status(thm),[c11])).
% 178.33/178.61  fof(c14,axiom,(![X8]:(![X9]:(![X10]:(![X11]:((~g_both(X8,X9)|(g_true(X8,X9)&g_false(X8,X9)))&((~g_true(X10,X11)|~g_false(X10,X11))|g_both(X10,X11))))))),inference(shift_quantors,status(thm),[fof(c13,axiom,((![X8]:(![X9]:(~g_both(X8,X9)|(g_true(X8,X9)&g_false(X8,X9)))))&(![X10]:(![X11]:((~g_true(X10,X11)|~g_false(X10,X11))|g_both(X10,X11))))),inference(variable_rename,status(thm),[c12])).])).
% 178.33/178.62  fof(c15,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(((~g_both(X8,X9)|g_true(X8,X9))&(~g_both(X8,X9)|g_false(X8,X9)))&((~g_true(X10,X11)|~g_false(X10,X11))|g_both(X10,X11))))))),inference(distribute,status(thm),[c14])).
% 178.33/178.62  cnf(c17,axiom,~g_both(X39,X38)|g_false(X39,X38),inference(split_conjunct,status(thm),[c15])).
% 178.33/178.62  fof(exhaustion_g,axiom,(![X_2]:(![X_1]:((g_true_only(X_2,X_1)|g_both(X_2,X_1))|g_false_only(X_2,X_1)))),input).
% 178.33/178.62  fof(c0,axiom,(![X2]:(![X3]:((g_true_only(X2,X3)|g_both(X2,X3))|g_false_only(X2,X3)))),inference(variable_rename,status(thm),[exhaustion_g])).
% 178.33/178.62  cnf(c1,axiom,g_true_only(X40,X41)|g_both(X40,X41)|g_false_only(X40,X41),inference(split_conjunct,status(thm),[c0])).
% 178.33/178.62  cnf(c42,plain,g_true_only(X56,X57)|g_false_only(X56,X57)|g_false(X56,X57),inference(resolution,status(thm),[c1, c17])).
% 178.33/178.62  cnf(c55,plain,g_true_only(X59,X58)|g_false(X59,X58),inference(resolution,status(thm),[c42, c8])).
% 178.33/178.62  cnf(c61,plain,g_false(X67,X68)|g_true(X67,X68),inference(resolution,status(thm),[c55, c25])).
% 178.33/178.62  cnf(c72,plain,g_true(X73,X74)|g_false_only(X73,X74),inference(resolution,status(thm),[c61, c10])).
% 178.33/178.62  cnf(c35,negated_conjecture,~g_false_only(a,X46)|~g_false_only(X46,X47),inference(split_conjunct,status(thm),[c34])).
% 178.33/178.62  cnf(c77,plain,g_true(X87,X86)|~g_false_only(a,X87),inference(resolution,status(thm),[c72, c35])).
% 178.33/178.62  cnf(c82,plain,g_true(X89,X88)|g_true(a,X89),inference(resolution,status(thm),[c77, c72])).
% 178.33/178.62  cnf(c85,plain,g_true(a,X97)|~g_false_only(X97,X96),inference(resolution,status(thm),[c82, c9])).
% 178.33/178.62  cnf(c38,negated_conjecture,~g_both(a,X79)|g_true_only(a,X79)|g_true_only(X79,X75)|g_false_only(skolem0003,skolem0004)|~g_both(X78,X76)|g_false_only(X78,skolem0005(X78))|g_true_only(skolem0006,X77),inference(split_conjunct,status(thm),[c34])).
% 178.33/178.62  cnf(c41,plain,g_both(X54,skolem0001(X54))|g_false_only(X54,skolem0001(X54)),inference(resolution,status(thm),[c1, c36])).
% 178.33/178.62  cnf(c50,plain,g_both(X55,skolem0001(X55))|~g_false_only(a,X55),inference(resolution,status(thm),[c41, c35])).
% 178.33/178.62  cnf(c78,plain,g_true(a,X108)|g_both(X108,skolem0001(X108)),inference(resolution,status(thm),[c72, c50])).
% 178.33/178.62  cnf(c101,plain,g_true(a,X267)|~g_both(a,X266)|g_true_only(a,X266)|g_true_only(X266,X265)|g_false_only(skolem0003,skolem0004)|g_false_only(X267,skolem0005(X267))|g_true_only(skolem0006,X268),inference(resolution,status(thm),[c78, c38])).
% 178.33/178.62  cnf(c359,plain,g_true(a,X2906)|g_true_only(a,X2907)|g_true_only(X2907,X2905)|g_false_only(skolem0003,skolem0004)|g_false_only(X2906,skolem0005(X2906))|g_true_only(skolem0006,X2904)|g_false_only(a,X2907),inference(resolution,status(thm),[c101, c1])).
% 178.33/178.62  cnf(c21206,plain,g_true(a,X9809)|g_true_only(a,X9807)|g_true_only(X9807,X9806)|g_false_only(skolem0003,skolem0004)|g_true_only(skolem0006,X9808)|g_false_only(a,X9807),inference(resolution,status(thm),[c359, c85])).
% 178.33/178.62  cnf(c62765,plain,g_true(a,X9810)|g_true_only(a,X9811)|g_true_only(X9811,X9812)|g_false_only(skolem0003,skolem0004)|g_false_only(a,X9811),inference(resolution,status(thm),[c21206, c36])).
% 178.33/178.62  cnf(c62781,plain,g_true(a,X9814)|g_true_only(a,X9813)|g_false_only(skolem0003,skolem0004)|g_false_only(a,X9813),inference(resolution,status(thm),[c62765, c36])).
% 178.33/178.62  cnf(c62798,plain,g_true(a,X9820)|g_false_only(skolem0003,skolem0004)|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c62781, c36])).
% 178.33/178.62  cnf(c62817,plain,g_true(a,X9841)|g_false_only(a,skolem0001(a))|g_true(a,skolem0003),inference(resolution,status(thm),[c62798, c85])).
% 178.33/178.62  cnf(c63056,plain,g_true(a,skolem0003)|g_false_only(a,skolem0001(a)),inference(factor,status(thm),[c62817])).
% 178.33/178.62  cnf(c63071,plain,g_false_only(a,skolem0001(a))|~g_false_only(a,skolem0003),inference(resolution,status(thm),[c63056, c9])).
% 178.33/178.62  cnf(c37,negated_conjecture,~g_both(a,X65)|g_true_only(a,X65)|g_true_only(X65,X61)|g_false_only(a,skolem0003)|~g_both(X64,X62)|g_false_only(X64,skolem0005(X64))|g_true_only(skolem0006,X63),inference(split_conjunct,status(thm),[c34])).
% 178.33/178.62  cnf(c103,plain,g_true(a,X291)|~g_both(a,X292)|g_true_only(a,X292)|g_true_only(X292,X289)|g_false_only(a,skolem0003)|g_false_only(X291,skolem0005(X291))|g_true_only(skolem0006,X290),inference(resolution,status(thm),[c78, c37])).
% 178.33/178.62  cnf(c431,plain,g_true(a,X3685)|g_true_only(a,X3686)|g_true_only(X3686,X3687)|g_false_only(a,skolem0003)|g_false_only(X3685,skolem0005(X3685))|g_true_only(skolem0006,X3684)|g_false_only(a,X3686),inference(resolution,status(thm),[c103, c1])).
% 178.33/178.62  cnf(c28929,plain,g_true(a,X10972)|g_true_only(a,X10971)|g_true_only(X10971,X10970)|g_false_only(a,skolem0003)|g_true_only(skolem0006,X10973)|g_false_only(a,X10971),inference(resolution,status(thm),[c431, c85])).
% 178.33/178.62  cnf(c65358,plain,g_true(a,X10979)|g_true_only(a,X10978)|g_true_only(X10978,X10977)|g_false_only(a,skolem0003)|g_false_only(a,X10978),inference(resolution,status(thm),[c28929, c36])).
% 178.33/178.62  cnf(c65388,plain,g_true(a,X10980)|g_true_only(a,X10981)|g_false_only(a,skolem0003)|g_false_only(a,X10981),inference(resolution,status(thm),[c65358, c36])).
% 178.33/178.62  cnf(c65428,plain,g_true(a,X10984)|g_false_only(a,skolem0003)|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c65388, c36])).
% 178.33/178.62  cnf(c65467,plain,g_true(a,X10988)|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c65428, c63071])).
% 178.33/178.62  cnf(c65497,plain,g_false_only(a,skolem0001(a))|~g_false_only(a,X10997),inference(resolution,status(thm),[c65467, c9])).
% 178.33/178.62  cnf(c69,plain,~g_both(a,X174)|g_true_only(a,X174)|g_true_only(X174,X171)|g_false_only(a,skolem0003)|g_false_only(X172,skolem0005(X172))|g_true_only(skolem0006,X173)|g_false_only(X172,skolem0001(X172)),inference(resolution,status(thm),[c37, c41])).
% 178.33/178.62  cnf(c175,plain,g_true_only(a,skolem0001(a))|g_true_only(skolem0001(a),X568)|g_false_only(a,skolem0003)|g_false_only(X569,skolem0005(X569))|g_true_only(skolem0006,X567)|g_false_only(X569,skolem0001(X569))|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c69, c41])).
% 178.33/178.62  cnf(c1195,plain,g_true_only(skolem0001(a),X11250)|g_false_only(a,skolem0003)|g_false_only(X11248,skolem0005(X11248))|g_true_only(skolem0006,X11249)|g_false_only(X11248,skolem0001(X11248))|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c175, c36])).
% 178.33/178.62  cnf(c66742,plain,g_true_only(skolem0001(a),X11737)|g_false_only(a,skolem0003)|g_true_only(skolem0006,X11736)|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c1195, c65497])).
% 178.33/178.62  cnf(c68344,plain,g_false_only(a,skolem0003)|g_true_only(skolem0006,X11738)|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c66742, c36])).
% 178.33/178.62  cnf(c68366,plain,g_true_only(skolem0006,X11739)|g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c68344, c65497])).
% 178.33/178.62  cnf(c68386,plain,g_false_only(a,skolem0001(a)),inference(resolution,status(thm),[c68366, c36])).
% 178.33/178.62  cnf(c40,negated_conjecture,~g_both(X105,X103)|g_false_only(X105,skolem0002(X105))|g_true_only(a,X105)|g_true_only(X105,X100)|g_false_only(skolem0003,skolem0004)|~g_both(X104,X101)|g_false_only(X104,skolem0005(X104))|g_true_only(skolem0006,X102),inference(split_conjunct,status(thm),[c34])).
% 178.33/178.62  cnf(c99,plain,g_true(a,X260)|~g_both(X258,X261)|g_false_only(X258,skolem0002(X258))|g_true_only(a,X258)|g_true_only(X258,X259)|g_false_only(skolem0003,skolem0004)|g_false_only(X260,skolem0005(X260))|g_true_only(skolem0006,X257),inference(resolution,status(thm),[c78, c40])).
% 178.33/178.62  cnf(c311,plain,g_true(a,X2229)|g_false_only(X2230,skolem0002(X2230))|g_true_only(a,X2230)|g_true_only(X2230,X2228)|g_false_only(skolem0003,skolem0004)|g_false_only(X2229,skolem0005(X2229))|g_true_only(skolem0006,X2231)|g_true(a,X2230),inference(resolution,status(thm),[c99, c78])).
% 178.33/178.62  cnf(c15228,plain,g_true(a,X22714)|g_true_only(a,X22711)|g_true_only(X22711,X22712)|g_false_only(skolem0003,skolem0004)|g_false_only(X22714,skolem0005(X22714))|g_true_only(skolem0006,X22713)|g_true(a,X22711),inference(resolution,status(thm),[c311, c85])).
% 178.33/178.62  cnf(c69865,plain,g_true(a,X22717)|g_true_only(a,X22715)|g_true_only(X22715,X22718)|g_false_only(skolem0003,skolem0004)|g_true_only(skolem0006,X22716)|g_true(a,X22715),inference(resolution,status(thm),[c15228, c85])).
% 178.33/178.62  cnf(c69874,plain,g_true(a,X22726)|g_true_only(a,X22726)|g_true_only(X22726,X22727)|g_false_only(skolem0003,skolem0004)|g_true_only(skolem0006,X22725),inference(factor,status(thm),[c69865])).
% 178.33/178.62  cnf(c69948,plain,g_true(a,X22730)|g_true_only(X22730,X22728)|g_false_only(skolem0003,skolem0004)|g_true_only(skolem0006,X22729),inference(resolution,status(thm),[c69874, c25])).
% 178.33/178.62  cnf(c69967,plain,g_true(a,X22731)|g_true_only(X22731,X22732)|g_false_only(skolem0003,skolem0004),inference(resolution,status(thm),[c69948, c36])).
% 178.33/178.62  cnf(c69972,plain,g_true(a,X22733)|g_false_only(skolem0003,skolem0004),inference(resolution,status(thm),[c69967, c36])).
% 178.33/178.62  cnf(c69979,plain,g_false_only(skolem0003,skolem0004)|~g_false_only(a,X22734),inference(resolution,status(thm),[c69972, c9])).
% 178.33/178.62  cnf(c70068,plain,g_false_only(skolem0003,skolem0004),inference(resolution,status(thm),[c69979, c68386])).
% 178.33/178.62  cnf(c70157,plain,~g_false_only(a,skolem0003),inference(resolution,status(thm),[c70068, c35])).
% 178.33/178.62  cnf(c39,negated_conjecture,~g_both(X95,X93)|g_false_only(X95,skolem0002(X95))|g_true_only(a,X95)|g_true_only(X95,X90)|g_false_only(a,skolem0003)|~g_both(X94,X91)|g_false_only(X94,skolem0005(X94))|g_true_only(skolem0006,X92),inference(split_conjunct,status(thm),[c34])).
% 178.33/178.62  cnf(c102,plain,g_true(a,X274)|~g_both(X277,X278)|g_false_only(X277,skolem0002(X277))|g_true_only(a,X277)|g_true_only(X277,X275)|g_false_only(a,skolem0003)|g_false_only(X274,skolem0005(X274))|g_true_only(skolem0006,X276),inference(resolution,status(thm),[c78, c39])).
% 178.33/178.62  cnf(c366,plain,g_true(a,X3012)|g_false_only(X3011,skolem0002(X3011))|g_true_only(a,X3011)|g_true_only(X3011,X3010)|g_false_only(a,skolem0003)|g_false_only(X3012,skolem0005(X3012))|g_true_only(skolem0006,X3009)|g_true(a,X3011),inference(resolution,status(thm),[c102, c78])).
% 178.33/178.62  cnf(c23056,plain,g_true(a,X23572)|g_true_only(a,X23575)|g_true_only(X23575,X23573)|g_false_only(a,skolem0003)|g_false_only(X23572,skolem0005(X23572))|g_true_only(skolem0006,X23574)|g_true(a,X23575),inference(resolution,status(thm),[c366, c85])).
% 178.33/178.62  cnf(c70299,plain,g_true(a,X23576)|g_true_only(a,X23577)|g_true_only(X23577,X23579)|g_false_only(X23576,skolem0005(X23576))|g_true_only(skolem0006,X23578)|g_true(a,X23577),inference(resolution,status(thm),[c23056, c70157])).
% 178.33/178.62  cnf(c70331,plain,g_true(a,X23583)|g_true_only(a,X23582)|g_true_only(X23582,X23580)|g_true_only(skolem0006,X23581)|g_true(a,X23582),inference(resolution,status(thm),[c70299, c85])).
% 178.33/178.62  cnf(c70340,plain,g_true(a,X23585)|g_true_only(a,X23585)|g_true_only(X23585,X23586)|g_true_only(skolem0006,X23584),inference(factor,status(thm),[c70331])).
% 178.33/178.62  cnf(c70362,plain,g_true(a,X23593)|g_true_only(X23593,X23592)|g_true_only(skolem0006,X23594),inference(resolution,status(thm),[c70340, c25])).
% 178.33/178.62  cnf(c70375,plain,g_true(a,X23595)|g_true_only(X23595,X23596),inference(resolution,status(thm),[c70362, c36])).
% 178.33/178.62  cnf(c70381,plain,g_true(a,X23597),inference(resolution,status(thm),[c70375, c36])).
% 178.33/178.62  cnf(c70384,plain,~g_false_only(a,X23598),inference(resolution,status(thm),[c70381, c9])).
% 178.33/178.62  cnf(c70432,plain,$false,inference(resolution,status(thm),[c70384, c68386])).
% 178.33/178.62  # SZS output end CNFRefutation
% 178.33/178.62  
% 178.33/178.62  # Initial clauses    : 16
% 178.33/178.62  # Processed clauses  : 753
% 178.33/178.62  # Factors computed   : 1016
% 178.33/178.62  # Resolvents computed: 69418
% 178.33/178.62  # Tautologies deleted: 5
% 178.33/178.62  # Forward subsumed   : 8168
% 178.33/178.62  # Backward subsumed  : 689
% 178.33/178.62  # -------- CPU Time ---------
% 178.33/178.62  # User time          : 177.837 s
% 178.33/178.62  # System time        : 0.318 s
% 178.33/178.62  # Total time         : 178.155 s
%------------------------------------------------------------------------------