%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET721+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 23:39:55 EST 2010
% Result : Theorem 92.86s
% Output : Solution 159.31s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP15410/SET721+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~thII12:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... compose_function:
% CSA axiom compose_function found
% Looking for CSA axiom ... maps:
% CSA axiom maps found
% Looking for CSA axiom ... injective:
% CSA axiom injective found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :injective:maps:compose_function (3)
% Unselected axioms are ... :one_to_one:equal_maps:isomorphism:singleton:unordered_pair:power_set:compose_predicate:identity:surjective:inverse_predicate:inverse_function:image2:image3:inverse_image2:inverse_image3:increasing_function:decreasing_function:equal_set:subset:intersection:union:empty_set:difference:sum:product (25)
% SZS status THM for /tmp/SystemOnTPTP15410/SET721+4.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP15410/SET721+4.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC time limit is 1200s
% TreeLimitedRun: PID is 16344
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.89 CPU 12.03 WC
% PrfWatch: 13.88 CPU 14.04 WC
% PrfWatch: 15.87 CPU 16.04 WC
% PrfWatch: 17.87 CPU 18.05 WC
% PrfWatch: 19.86 CPU 20.05 WC
% PrfWatch: 21.85 CPU 22.06 WC
% PrfWatch: 23.84 CPU 24.06 WC
% PrfWatch: 25.84 CPU 26.07 WC
% PrfWatch: 27.83 CPU 28.07 WC
% PrfWatch: 29.82 CPU 30.08 WC
% PrfWatch: 31.81 CPU 32.08 WC
% PrfWatch: 33.80 CPU 34.09 WC
% PrfWatch: 35.80 CPU 36.09 WC
% PrfWatch: 37.79 CPU 38.09 WC
% PrfWatch: 39.76 CPU 40.10 WC
% PrfWatch: 41.75 CPU 42.10 WC
% PrfWatch: 43.75 CPU 44.11 WC
% PrfWatch: 45.74 CPU 46.11 WC
% PrfWatch: 47.73 CPU 48.12 WC
% PrfWatch: 49.49 CPU 50.20 WC
% PrfWatch: 51.10 CPU 52.20 WC
% PrfWatch: 53.06 CPU 54.21 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 55.03 CPU 56.21 WC
% PrfWatch: 57.03 CPU 58.22 WC
% PrfWatch: 59.02 CPU 60.22 WC
% PrfWatch: 61.02 CPU 62.23 WC
% PrfWatch: 63.01 CPU 64.23 WC
% PrfWatch: 65.00 CPU 66.24 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:(injective(X1,X2,X3)<=>![X4]:![X5]:![X6]:(((member(X4,X2)&member(X5,X2))&member(X6,X3))=>((apply(X1,X4,X6)&apply(X1,X5,X6))=>X4=X5))),file('/tmp/SRASS.s.p', injective)).
% fof(2, axiom,![X1]:![X2]:![X3]:(maps(X1,X2,X3)<=>(![X7]:(member(X7,X2)=>?[X6]:(member(X6,X3)&apply(X1,X7,X6)))&![X7]:![X8]:![X9]:(((member(X7,X2)&member(X8,X3))&member(X9,X3))=>((apply(X1,X7,X8)&apply(X1,X7,X9))=>X8=X9)))),file('/tmp/SRASS.s.p', maps)).
% fof(3, axiom,![X10]:![X1]:![X2]:![X3]:![X11]:![X7]:![X12]:((member(X7,X2)&member(X12,X11))=>(apply(compose_function(X10,X1,X2,X3,X11),X7,X12)<=>?[X6]:((member(X6,X3)&apply(X1,X7,X6))&apply(X10,X6,X12)))),file('/tmp/SRASS.s.p', compose_function)).
% fof(4, conjecture,![X1]:![X10]:![X2]:![X3]:![X11]:(((maps(X1,X2,X3)&maps(X10,X3,X11))&injective(compose_function(X10,X1,X2,X3,X11),X2,X11))=>injective(X1,X2,X3)),file('/tmp/SRASS.s.p', thII12)).
% fof(5, negated_conjecture,~(![X1]:![X10]:![X2]:![X3]:![X11]:(((maps(X1,X2,X3)&maps(X10,X3,X11))&injective(compose_function(X10,X1,X2,X3,X11),X2,X11))=>injective(X1,X2,X3))),inference(assume_negation,[status(cth)],[4])).
% fof(6, plain,![X1]:![X2]:![X3]:((~(injective(X1,X2,X3))|![X4]:![X5]:![X6]:(((~(member(X4,X2))|~(member(X5,X2)))|~(member(X6,X3)))|((~(apply(X1,X4,X6))|~(apply(X1,X5,X6)))|X4=X5)))&(?[X4]:?[X5]:?[X6]:(((member(X4,X2)&member(X5,X2))&member(X6,X3))&((apply(X1,X4,X6)&apply(X1,X5,X6))&~(X4=X5)))|injective(X1,X2,X3))),inference(fof_nnf,[status(thm)],[1])).
% fof(7, plain,![X7]:![X8]:![X9]:((~(injective(X7,X8,X9))|![X10]:![X11]:![X12]:(((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11)))&(?[X13]:?[X14]:?[X15]:(((member(X13,X8)&member(X14,X8))&member(X15,X9))&((apply(X7,X13,X15)&apply(X7,X14,X15))&~(X13=X14)))|injective(X7,X8,X9))),inference(variable_rename,[status(thm)],[6])).
% fof(8, plain,![X7]:![X8]:![X9]:((~(injective(X7,X8,X9))|![X10]:![X11]:![X12]:(((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11)))&((((member(esk1_3(X7,X8,X9),X8)&member(esk2_3(X7,X8,X9),X8))&member(esk3_3(X7,X8,X9),X9))&((apply(X7,esk1_3(X7,X8,X9),esk3_3(X7,X8,X9))&apply(X7,esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)))&~(esk1_3(X7,X8,X9)=esk2_3(X7,X8,X9))))|injective(X7,X8,X9))),inference(skolemize,[status(esa)],[7])).
% fof(9, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:(((((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11))|~(injective(X7,X8,X9)))&((((member(esk1_3(X7,X8,X9),X8)&member(esk2_3(X7,X8,X9),X8))&member(esk3_3(X7,X8,X9),X9))&((apply(X7,esk1_3(X7,X8,X9),esk3_3(X7,X8,X9))&apply(X7,esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)))&~(esk1_3(X7,X8,X9)=esk2_3(X7,X8,X9))))|injective(X7,X8,X9))),inference(shift_quantors,[status(thm)],[8])).
% fof(10, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:(((((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11))|~(injective(X7,X8,X9)))&((((member(esk1_3(X7,X8,X9),X8)|injective(X7,X8,X9))&(member(esk2_3(X7,X8,X9),X8)|injective(X7,X8,X9)))&(member(esk3_3(X7,X8,X9),X9)|injective(X7,X8,X9)))&(((apply(X7,esk1_3(X7,X8,X9),esk3_3(X7,X8,X9))|injective(X7,X8,X9))&(apply(X7,esk2_3(X7,X8,X9),esk3_3(X7,X8,X9))|injective(X7,X8,X9)))&(~(esk1_3(X7,X8,X9)=esk2_3(X7,X8,X9))|injective(X7,X8,X9))))),inference(distribute,[status(thm)],[9])).
% cnf(11,plain,(injective(X1,X2,X3)|esk1_3(X1,X2,X3)!=esk2_3(X1,X2,X3)),inference(split_conjunct,[status(thm)],[10])).
% cnf(12,plain,(injective(X1,X2,X3)|apply(X1,esk2_3(X1,X2,X3),esk3_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[10])).
% cnf(13,plain,(injective(X1,X2,X3)|apply(X1,esk1_3(X1,X2,X3),esk3_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[10])).
% cnf(14,plain,(injective(X1,X2,X3)|member(esk3_3(X1,X2,X3),X3)),inference(split_conjunct,[status(thm)],[10])).
% cnf(15,plain,(injective(X1,X2,X3)|member(esk2_3(X1,X2,X3),X2)),inference(split_conjunct,[status(thm)],[10])).
% cnf(16,plain,(injective(X1,X2,X3)|member(esk1_3(X1,X2,X3),X2)),inference(split_conjunct,[status(thm)],[10])).
% cnf(17,plain,(X4=X5|~injective(X1,X2,X3)|~apply(X1,X5,X6)|~apply(X1,X4,X6)|~member(X6,X3)|~member(X5,X2)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[10])).
% fof(18, plain,![X1]:![X2]:![X3]:((~(maps(X1,X2,X3))|(![X7]:(~(member(X7,X2))|?[X6]:(member(X6,X3)&apply(X1,X7,X6)))&![X7]:![X8]:![X9]:(((~(member(X7,X2))|~(member(X8,X3)))|~(member(X9,X3)))|((~(apply(X1,X7,X8))|~(apply(X1,X7,X9)))|X8=X9))))&((?[X7]:(member(X7,X2)&![X6]:(~(member(X6,X3))|~(apply(X1,X7,X6))))|?[X7]:?[X8]:?[X9]:(((member(X7,X2)&member(X8,X3))&member(X9,X3))&((apply(X1,X7,X8)&apply(X1,X7,X9))&~(X8=X9))))|maps(X1,X2,X3))),inference(fof_nnf,[status(thm)],[2])).
% fof(19, plain,![X10]:![X11]:![X12]:((~(maps(X10,X11,X12))|(![X13]:(~(member(X13,X11))|?[X14]:(member(X14,X12)&apply(X10,X13,X14)))&![X15]:![X16]:![X17]:(((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))))&((?[X18]:(member(X18,X11)&![X19]:(~(member(X19,X12))|~(apply(X10,X18,X19))))|?[X20]:?[X21]:?[X22]:(((member(X20,X11)&member(X21,X12))&member(X22,X12))&((apply(X10,X20,X21)&apply(X10,X20,X22))&~(X21=X22))))|maps(X10,X11,X12))),inference(variable_rename,[status(thm)],[18])).
% fof(20, plain,![X10]:![X11]:![X12]:((~(maps(X10,X11,X12))|(![X13]:(~(member(X13,X11))|(member(esk4_4(X10,X11,X12,X13),X12)&apply(X10,X13,esk4_4(X10,X11,X12,X13))))&![X15]:![X16]:![X17]:(((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))))&(((member(esk5_3(X10,X11,X12),X11)&![X19]:(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|(((member(esk6_3(X10,X11,X12),X11)&member(esk7_3(X10,X11,X12),X12))&member(esk8_3(X10,X11,X12),X12))&((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))&apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12)))&~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12)))))|maps(X10,X11,X12))),inference(skolemize,[status(esa)],[19])).
% fof(21, plain,![X10]:![X11]:![X12]:![X13]:![X15]:![X16]:![X17]:![X19]:(((((~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19)))&member(esk5_3(X10,X11,X12),X11))|(((member(esk6_3(X10,X11,X12),X11)&member(esk7_3(X10,X11,X12),X12))&member(esk8_3(X10,X11,X12),X12))&((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))&apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12)))&~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12)))))|maps(X10,X11,X12))&(((((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))&(~(member(X13,X11))|(member(esk4_4(X10,X11,X12,X13),X12)&apply(X10,X13,esk4_4(X10,X11,X12,X13)))))|~(maps(X10,X11,X12)))),inference(shift_quantors,[status(thm)],[20])).
% fof(22, plain,![X10]:![X11]:![X12]:![X13]:![X15]:![X16]:![X17]:![X19]:(((((((member(esk6_3(X10,X11,X12),X11)|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12))&((member(esk7_3(X10,X11,X12),X12)|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12)))&((member(esk8_3(X10,X11,X12),X12)|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12)))&((((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12))&((apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12))|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12)))&((~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12))|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12))))&(((((member(esk6_3(X10,X11,X12),X11)|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12))&((member(esk7_3(X10,X11,X12),X12)|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))&((member(esk8_3(X10,X11,X12),X12)|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))&((((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12))&((apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12))|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))&((~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12))|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))))&(((((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))|~(maps(X10,X11,X12)))&(((member(esk4_4(X10,X11,X12,X13),X12)|~(member(X13,X11)))|~(maps(X10,X11,X12)))&((apply(X10,X13,esk4_4(X10,X11,X12,X13))|~(member(X13,X11)))|~(maps(X10,X11,X12)))))),inference(distribute,[status(thm)],[21])).
% cnf(23,plain,(apply(X1,X4,esk4_4(X1,X2,X3,X4))|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[22])).
% cnf(24,plain,(member(esk4_4(X1,X2,X3,X4),X3)|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[22])).
% fof(38, plain,![X10]:![X1]:![X2]:![X3]:![X11]:![X7]:![X12]:((~(member(X7,X2))|~(member(X12,X11)))|((~(apply(compose_function(X10,X1,X2,X3,X11),X7,X12))|?[X6]:((member(X6,X3)&apply(X1,X7,X6))&apply(X10,X6,X12)))&(![X6]:((~(member(X6,X3))|~(apply(X1,X7,X6)))|~(apply(X10,X6,X12)))|apply(compose_function(X10,X1,X2,X3,X11),X7,X12)))),inference(fof_nnf,[status(thm)],[3])).
% fof(39, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:((~(member(X18,X15))|~(member(X19,X17)))|((~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|?[X20]:((member(X20,X16)&apply(X14,X18,X20))&apply(X13,X20,X19)))&(![X21]:((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))),inference(variable_rename,[status(thm)],[38])).
% fof(40, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:((~(member(X18,X15))|~(member(X19,X17)))|((~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|((member(esk9_7(X13,X14,X15,X16,X17,X18,X19),X16)&apply(X14,X18,esk9_7(X13,X14,X15,X16,X17,X18,X19)))&apply(X13,esk9_7(X13,X14,X15,X16,X17,X18,X19),X19)))&(![X21]:((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))),inference(skolemize,[status(esa)],[39])).
% fof(41, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:![X21]:(((((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19))&(~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|((member(esk9_7(X13,X14,X15,X16,X17,X18,X19),X16)&apply(X14,X18,esk9_7(X13,X14,X15,X16,X17,X18,X19)))&apply(X13,esk9_7(X13,X14,X15,X16,X17,X18,X19),X19))))|(~(member(X18,X15))|~(member(X19,X17)))),inference(shift_quantors,[status(thm)],[40])).
% fof(42, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:![X21]:(((((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|(~(member(X18,X15))|~(member(X19,X17))))&((((member(esk9_7(X13,X14,X15,X16,X17,X18,X19),X16)|~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))|(~(member(X18,X15))|~(member(X19,X17))))&((apply(X14,X18,esk9_7(X13,X14,X15,X16,X17,X18,X19))|~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))|(~(member(X18,X15))|~(member(X19,X17)))))&((apply(X13,esk9_7(X13,X14,X15,X16,X17,X18,X19),X19)|~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))|(~(member(X18,X15))|~(member(X19,X17)))))),inference(distribute,[status(thm)],[41])).
% cnf(46,plain,(apply(compose_function(X5,X6,X4,X7,X2),X3,X1)|~member(X1,X2)|~member(X3,X4)|~apply(X5,X8,X1)|~apply(X6,X3,X8)|~member(X8,X7)),inference(split_conjunct,[status(thm)],[42])).
% fof(47, negated_conjecture,?[X1]:?[X10]:?[X2]:?[X3]:?[X11]:(((maps(X1,X2,X3)&maps(X10,X3,X11))&injective(compose_function(X10,X1,X2,X3,X11),X2,X11))&~(injective(X1,X2,X3))),inference(fof_nnf,[status(thm)],[5])).
% fof(48, negated_conjecture,?[X12]:?[X13]:?[X14]:?[X15]:?[X16]:(((maps(X12,X14,X15)&maps(X13,X15,X16))&injective(compose_function(X13,X12,X14,X15,X16),X14,X16))&~(injective(X12,X14,X15))),inference(variable_rename,[status(thm)],[47])).
% fof(49, negated_conjecture,(((maps(esk10_0,esk12_0,esk13_0)&maps(esk11_0,esk13_0,esk14_0))&injective(compose_function(esk11_0,esk10_0,esk12_0,esk13_0,esk14_0),esk12_0,esk14_0))&~(injective(esk10_0,esk12_0,esk13_0))),inference(skolemize,[status(esa)],[48])).
% cnf(50,negated_conjecture,(~injective(esk10_0,esk12_0,esk13_0)),inference(split_conjunct,[status(thm)],[49])).
% cnf(51,negated_conjecture,(injective(compose_function(esk11_0,esk10_0,esk12_0,esk13_0,esk14_0),esk12_0,esk14_0)),inference(split_conjunct,[status(thm)],[49])).
% cnf(52,negated_conjecture,(maps(esk11_0,esk13_0,esk14_0)),inference(split_conjunct,[status(thm)],[49])).
% cnf(78,plain,(apply(compose_function(X1,X2,X3,X4,X5),esk2_3(X2,X6,X7),X8)|injective(X2,X6,X7)|~apply(X1,esk3_3(X2,X6,X7),X8)|~member(esk3_3(X2,X6,X7),X4)|~member(esk2_3(X2,X6,X7),X3)|~member(X8,X5)),inference(spm,[status(thm)],[46,12,theory(equality)])).
% cnf(79,plain,(apply(compose_function(X1,X2,X3,X4,X5),esk1_3(X2,X6,X7),X8)|injective(X2,X6,X7)|~apply(X1,esk3_3(X2,X6,X7),X8)|~member(esk3_3(X2,X6,X7),X4)|~member(esk1_3(X2,X6,X7),X3)|~member(X8,X5)),inference(spm,[status(thm)],[46,13,theory(equality)])).
% cnf(327,plain,(X1=esk2_3(X2,X3,X4)|injective(X2,X3,X4)|~apply(compose_function(X5,X2,X6,X7,X8),X1,X9)|~member(X9,X10)|~member(esk2_3(X2,X3,X4),X11)|~member(X1,X11)|~injective(compose_function(X5,X2,X6,X7,X8),X11,X10)|~apply(X5,esk3_3(X2,X3,X4),X9)|~member(esk3_3(X2,X3,X4),X7)|~member(esk2_3(X2,X3,X4),X6)|~member(X9,X8)),inference(spm,[status(thm)],[17,78,theory(equality)])).
% cnf(2776,plain,(esk1_3(X1,X2,X3)=esk2_3(X1,X4,X5)|injective(X1,X4,X5)|injective(X1,X2,X3)|~apply(X6,esk3_3(X1,X4,X5),X10)|~member(esk2_3(X1,X4,X5),X11)|~member(esk3_3(X1,X4,X5),X8)|~member(esk2_3(X1,X4,X5),X7)|~member(X10,X12)|~member(esk1_3(X1,X2,X3),X11)|~member(X10,X9)|~injective(compose_function(X6,X1,X7,X8,X9),X11,X12)|~apply(X6,esk3_3(X1,X2,X3),X10)|~member(esk3_3(X1,X2,X3),X8)|~member(esk1_3(X1,X2,X3),X7)),inference(spm,[status(thm)],[327,79,theory(equality)])).
% cnf(276065,negated_conjecture,(esk1_3(esk10_0,X1,X2)=esk2_3(esk10_0,X3,X4)|injective(esk10_0,X1,X2)|injective(esk10_0,X3,X4)|~apply(esk11_0,esk3_3(esk10_0,X3,X4),X5)|~apply(esk11_0,esk3_3(esk10_0,X1,X2),X5)|~member(esk2_3(esk10_0,X3,X4),esk12_0)|~member(esk3_3(esk10_0,X3,X4),esk13_0)|~member(esk1_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),esk13_0)|~member(X5,esk14_0)),inference(spm,[status(thm)],[2776,51,theory(equality)])).
% cnf(276066,negated_conjecture,(esk1_3(esk10_0,X1,X2)=esk2_3(esk10_0,X3,X4)|injective(esk10_0,X3,X4)|injective(esk10_0,X1,X2)|~apply(esk11_0,esk3_3(esk10_0,X1,X2),esk4_4(esk11_0,X5,X6,esk3_3(esk10_0,X3,X4)))|~member(esk2_3(esk10_0,X3,X4),esk12_0)|~member(esk3_3(esk10_0,X3,X4),esk13_0)|~member(esk1_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),esk13_0)|~member(esk4_4(esk11_0,X5,X6,esk3_3(esk10_0,X3,X4)),esk14_0)|~maps(esk11_0,X5,X6)|~member(esk3_3(esk10_0,X3,X4),X5)),inference(spm,[status(thm)],[276065,23,theory(equality)])).
% cnf(276099,negated_conjecture,(esk1_3(esk10_0,X1,X2)=esk2_3(esk10_0,X1,X2)|injective(esk10_0,X1,X2)|~maps(esk11_0,X3,X4)|~member(esk4_4(esk11_0,X3,X4,esk3_3(esk10_0,X1,X2)),esk14_0)|~member(esk2_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),esk13_0)|~member(esk1_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),X3)),inference(spm,[status(thm)],[276066,23,theory(equality)])).
% cnf(276100,negated_conjecture,(injective(esk10_0,X1,X2)|~maps(esk11_0,X3,X4)|~member(esk4_4(esk11_0,X3,X4,esk3_3(esk10_0,X1,X2)),esk14_0)|~member(esk2_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),esk13_0)|~member(esk1_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),X3)),inference(csr,[status(thm)],[276099,11])).
% cnf(276109,negated_conjecture,(injective(esk10_0,X1,X2)|~maps(esk11_0,X3,esk14_0)|~member(esk2_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),esk13_0)|~member(esk1_3(esk10_0,X1,X2),esk12_0)|~member(esk3_3(esk10_0,X1,X2),X3)),inference(spm,[status(thm)],[276100,24,theory(equality)])).
% cnf(276110,negated_conjecture,(injective(esk10_0,X1,esk13_0)|~maps(esk11_0,X2,esk14_0)|~member(esk2_3(esk10_0,X1,esk13_0),esk12_0)|~member(esk1_3(esk10_0,X1,esk13_0),esk12_0)|~member(esk3_3(esk10_0,X1,esk13_0),X2)),inference(spm,[status(thm)],[276109,14,theory(equality)])).
% cnf(276111,negated_conjecture,(injective(esk10_0,X1,esk13_0)|~maps(esk11_0,esk13_0,esk14_0)|~member(esk2_3(esk10_0,X1,esk13_0),esk12_0)|~member(esk1_3(esk10_0,X1,esk13_0),esk12_0)),inference(spm,[status(thm)],[276110,14,theory(equality)])).
% cnf(276112,negated_conjecture,(injective(esk10_0,X1,esk13_0)|$false|~member(esk2_3(esk10_0,X1,esk13_0),esk12_0)|~member(esk1_3(esk10_0,X1,esk13_0),esk12_0)),inference(rw,[status(thm)],[276111,52,theory(equality)])).
% cnf(276113,negated_conjecture,(injective(esk10_0,X1,esk13_0)|~member(esk2_3(esk10_0,X1,esk13_0),esk12_0)|~member(esk1_3(esk10_0,X1,esk13_0),esk12_0)),inference(cn,[status(thm)],[276112,theory(equality)])).
% cnf(276114,negated_conjecture,(injective(esk10_0,esk12_0,esk13_0)|~member(esk1_3(esk10_0,esk12_0,esk13_0),esk12_0)),inference(spm,[status(thm)],[276113,15,theory(equality)])).
% cnf(276115,negated_conjecture,(~member(esk1_3(esk10_0,esk12_0,esk13_0),esk12_0)),inference(sr,[status(thm)],[276114,50,theory(equality)])).
% cnf(276119,negated_conjecture,(injective(esk10_0,esk12_0,esk13_0)),inference(spm,[status(thm)],[276115,16,theory(equality)])).
% cnf(276120,negated_conjecture,($false),inference(sr,[status(thm)],[276119,50,theory(equality)])).
% cnf(276121,negated_conjecture,($false),276120,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 9755
% # ...of these trivial : 0
% # ...subsumed : 4691
% # ...remaining for further processing: 5064
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 369
% # Backward-rewritten : 0
% # Generated clauses : 257453
% # ...of the previous two non-trivial : 257173
% # Contextual simplify-reflections : 18271
% # Paramodulations : 257453
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 4665
% # Positive orientable unit clauses: 3
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 4660
% # Current number of unprocessed clauses: 235293
% # ...number of literals in the above : 4522005
% # Clause-clause subsumption calls (NU) : 1320560
% # Rec. Clause-clause subsumption calls : 136615
% # Unit Clause-clause subsumption calls : 450
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 0
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 649 leaves, 17.75+/-37.431 terms/leaf
% # Paramod-from index: 80 leaves, 5.54+/-7.805 terms/leaf
% # Paramod-into index: 469 leaves, 10.31+/-19.791 terms/leaf
% # -------------------------------------------------
% # User time : 53.200 s
% # System time : 0.862 s
% # Total time : 54.062 s
% # Maximum resident set size: 0 pages
% PrfWatch: 65.78 CPU 67.02 WC
% FINAL PrfWatch: 65.78 CPU 67.02 WC
% SZS output end Solution for /tmp/SystemOnTPTP15410/SET721+4.tptp
%
%------------------------------------------------------------------------------