TSTP Solution File: SEU284+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU284+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art02.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 : Thu Dec 30 02:59:56 EST 2010

% Result   : Theorem 107.57s
% Output   : Solution 110.72s
% 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/SystemOnTPTP9074/SEU284+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~s3_funct_1__e16_22__wellord2:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... antisymmetry_r2_hidden: CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... d1_tarski:
%  CSA axiom d1_tarski found
% Looking for CSA axiom ... rc1_funct_1:
%  CSA axiom rc1_funct_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... s1_tarski__e16_22__wellord2__1:
% s2_funct_1__e16_22__wellord2__1:
%  CSA axiom s2_funct_1__e16_22__wellord2__1 found
% Looking for CSA axiom ... t2_tarski:
% t3_ordinal1:
%  CSA axiom t3_ordinal1 found
% Looking for CSA axiom ... t7_tarski:
% t8_funct_1:
%  CSA axiom t8_funct_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :t8_funct_1:t3_ordinal1:s2_funct_1__e16_22__wellord2__1:rc1_funct_1:d1_tarski:antisymmetry_r2_hidden (6)
% Unselected axioms are ... :s1_tarski__e16_22__wellord2__1:t2_tarski:t7_tarski:d5_funct_1:d8_funct_1:t22_funct_1:t23_funct_1:t70_funct_1:d12_funct_1:d13_funct_1:t34_funct_1:s1_funct_1__e16_22__wellord2__1:t21_funct_1:t72_funct_1:s1_relat_1__e6_21__wellord2:d4_relat_1:l82_funct_1:d4_funct_1:d1_funct_1:l23_zfmisc_1:t46_zfmisc_1:t65_zfmisc_1:t68_funct_1:t35_funct_1:t86_relat_1:d1_relat_1:d2_relat_1:s1_tarski__e6_21__wellord2__1:s1_xboole_0__e6_21__wellord2__1:l2_zfmisc_1:t37_zfmisc_1:t6_zfmisc_1:l1_zfmisc_1:fc5_relat_1:fc7_relat_1:l25_zfmisc_1:l28_zfmisc_1:rc2_funct_1:t54_funct_1:t69_enumset1:t8_zfmisc_1:t9_zfmisc_1:dt_k2_funct_1:fc1_funct_1:fc2_funct_1:fc4_funct_1:fc5_funct_1:rc3_funct_1:rc4_funct_1:d1_xboole_0:s1_tarski__e6_22__wellord2__1:t24_ordinal1:d2_tarski:d2_xboole_0:d3_ordinal1:d3_xboole_0:d4_xboole_0:d1_enumset1:d4_tarski:involutiveness_k4_relat_1:s1_tarski__e16_22__wellord2__2:s1_xboole_0__e16_22__wellord2__1:t20_relat_1:t143_relat_1:t64_relat_1:t65_relat_1:t145_relat_1:t146_relat_1:t37_relat_1:t90_relat_1:d4_wellord2:d5_relat_1:fc2_subset_1:t55_funct_1:t56_relat_1:cc1_relat_1:commutativity_k2_tarski:commutativity_k2_xboole_0:commutativity_k3_xboole_0:d10_xboole_0:d12_relat_1:d1_wellord1:d4_relat_2:d6_relat_2:d7_relat_1:dt_k5_relat_1:dt_k6_relat_1:dt_k7_relat_1:dt_k8_relat_1:existence_m1_relset_1:existence_m1_subset_1:fc1_relat_1:idempotence_k2_xboole_0:idempotence_k3_xboole_0:l3_wellord1:l55_zfmisc_1:rc1_relat_1:rc1_xboole_0:rc2_relat_1:rc2_xboole_0:rc3_relat_1:reflexivity_r1_tarski:reflexivity_r2_wellord2:symmetry_r1_xboole_0:symmetry_r2_wellord2:t106_zfmisc_1:t10_zfmisc_1:t1_xboole_1:t33_zfmisc_1:t3_xboole_0:cc1_funct_1:d7_wellord1:t57_funct_1:l3_zfmisc_1:l4_zfmisc_1:t39_zfmisc_1:t1_zfmisc_1:d3_tarski:l29_wellord1:t46_relat_1:t47_relat_1:d1_zfmisc_1:redefinition_k4_relset_1:t49_wellord1:t54_wellord1:t7_boole:d6_relat_1:s1_xboole_0__e6_22__wellord2:t1_subset:t23_ordinal1:d9_funct_1:t10_ordinal1:l4_wellord1:s1_tarski__e8_6__wellord2__1:s1_xboole_0__e8_6__wellord2__1:t19_wellord1:t8_boole:d10_relat_1:d11_relat_1:d13_relat_1:d14_relat_1:d4_subset_1:d8_relat_1:dt_k2_wellord1:t167_relat_1:t44_relat_1:cc2_funct_1:dt_k1_wellord2:dt_k4_relat_1:t25_relat_1:t71_relat_1:d1_ordinal1:d3_relat_1:d5_tarski:fc3_funct_1:t147_funct_1:t60_relat_1:t62_funct_1:d2_zfmisc_1:t115_relat_1:t16_wellord1:t30_relat_1:d1_relat_2:d1_setfam_1:d1_wellord2:d8_relat_2:l2_wellord1:t140_relat_1:antisymmetry_r2_xboole_0:irreflexivity_r2_xboole_0:t117_relat_1:t12_xboole_1:t178_relat_1:t28_xboole_1:t3_subset:t3_xboole_1:t88_relat_1:d2_subset_1:fc10_relat_1:fc9_relat_1:l3_subset_1:l71_subset_1:t1_boole:t2_boole:t2_subset:t3_boole:t4_boole:t4_subset:t99_zfmisc_1:d6_ordinal1:fc2_relat_1:fc3_relat_1:fc4_relat_1:fc6_relat_1:fc8_relat_1:s1_ordinal1__e8_6__wellord2:t174_relat_1:t25_wellord1:t31_ordinal1:t39_xboole_1:t40_xboole_1:t48_xboole_1:t4_xboole_0:t6_boole:t83_xboole_1:d1_mcart_1:d2_mcart_1:d2_ordinal1:fc11_relat_1:fc13_relat_1:l50_zfmisc_1:t38_zfmisc_1:t92_zfmisc_1:t9_tarski:d8_xboole_0:t145_funct_1:t146_funct_1:t21_relat_1:d4_wellord1:t46_setfam_1:t118_zfmisc_1:t119_relat_1:t119_zfmisc_1:t160_relat_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t33_xboole_1:t36_xboole_1:t63_xboole_1:t7_xboole_1:t8_xboole_1:t94_relat_1:d6_wellord1:dt_k4_relset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:fc4_subset_1:l1_wellord1:t166_relat_1:t17_wellord1:t18_wellord1:t22_relset_1:t23_relset_1:t2_xboole_1:dt_m2_relset_1:existence_m2_relset_1:fc1_subset_1:fc1_xboole_0:fc1_zfmisc_1:redefinition_m2_relset_1:redefinition_r2_wellord2:t5_wellord2:t74_relat_1:connectedness_r1_ordinal1:d7_xboole_0:fc12_relat_1:fc1_ordinal1:l32_xboole_1:reflexivity_r1_ordinal1:t12_relset_1:t136_zfmisc_1:t21_wellord1:t32_ordinal1:t37_xboole_1:t45_relat_1:t45_xboole_1:t50_subset_1:t7_mcart_1:t99_relat_1:cc1_relset_1:t116_relat_1:t118_relat_1:t144_relat_1:t16_relset_1:t20_wellord1:t54_subset_1:t5_subset:t60_xboole_1:d12_relat_2:d14_relat_2:d16_relat_2:d3_wellord1:d8_setfam_1:d9_relat_2:dt_k3_subset_1:dt_k5_setfam_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:rc1_subset_1:rc2_subset_1:redefinition_k5_relset_1:t21_ordinal1:t33_ordinal1:t39_wellord1:t41_ordinal1:t42_ordinal1:t5_wellord1:t8_wellord1:d1_relset_1:redefinition_r1_ordinal1:t14_relset_1:t24_wellord1:t25_wellord2:fc3_ordinal1:t22_wellord1:t23_wellord1:t31_wellord1:t32_wellord1:d2_wellord1:fc2_ordinal1:redefinition_k5_setfam_1:t43_subset_1:d5_subset_1:dt_k2_subset_1:rc2_ordinal1:redefinition_k6_setfam_1:redefinition_k6_subset_1:cc1_ordinal1:cc2_ordinal1:cc3_ordinal1:d4_ordinal1:l30_wellord2:rc1_ordinal1:rc3_ordinal1:t2_wellord2:t3_wellord2:t47_setfam_1:t48_setfam_1:t4_wellord2:t53_wellord1:t6_wellord2:t7_wellord2:dt_k5_relset_1:fc4_ordinal1:d5_wellord1:dt_k10_relat_1:dt_k1_enumset1:dt_k1_funct_1:dt_k1_mcart_1:dt_k1_ordinal1:dt_k1_relat_1:dt_k1_setfam_1:dt_k1_tarski:dt_k1_wellord1:dt_k1_xboole_0:dt_k1_zfmisc_1:dt_k2_mcart_1:dt_k2_relat_1:dt_k2_tarski:dt_k2_xboole_0:dt_k2_zfmisc_1:dt_k3_relat_1:dt_k3_tarski:dt_k3_xboole_0:dt_k4_tarski:dt_k4_xboole_0:dt_k9_relat_1:dt_m1_relset_1:dt_m1_subset_1 (364)
% SZS status THM for /tmp/SystemOnTPTP9074/SEU284+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP9074/SEU284+2.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 10864
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.93 CPU 2.02 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:((![X2]:![X3]:![X4]:(((in(X2,X1)&X3=singleton(X2))&X4=singleton(X2))=>X3=X4)&![X2]:~((in(X2,X1)&![X3]:~(X3=singleton(X2)))))=>?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3)))),file('/tmp/SRASS.s.p', s2_funct_1__e16_22__wellord2__1)).
% fof(7, conjecture,![X1]:?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3))),file('/tmp/SRASS.s.p', s3_funct_1__e16_22__wellord2)).
% fof(8, negated_conjecture,~(![X1]:?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3)))),inference(assume_negation,[status(cth)],[7])).
% fof(19, plain,![X1]:((?[X2]:?[X3]:?[X4]:(((in(X2,X1)&X3=singleton(X2))&X4=singleton(X2))&~(X3=X4))|?[X2]:(in(X2,X1)&![X3]:~(X3=singleton(X2))))|?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(~(in(X3,X1))|apply(X2,X3)=singleton(X3)))),inference(fof_nnf,[status(thm)],[3])).
% fof(20, plain,![X5]:((?[X6]:?[X7]:?[X8]:(((in(X6,X5)&X7=singleton(X6))&X8=singleton(X6))&~(X7=X8))|?[X9]:(in(X9,X5)&![X10]:~(X10=singleton(X9))))|?[X11]:(((relation(X11)&function(X11))&relation_dom(X11)=X5)&![X12]:(~(in(X12,X5))|apply(X11,X12)=singleton(X12)))),inference(variable_rename,[status(thm)],[19])).
% fof(21, plain,![X5]:(((((in(esk1_1(X5),X5)&esk2_1(X5)=singleton(esk1_1(X5)))&esk3_1(X5)=singleton(esk1_1(X5)))&~(esk2_1(X5)=esk3_1(X5)))|(in(esk4_1(X5),X5)&![X10]:~(X10=singleton(esk4_1(X5)))))|(((relation(esk5_1(X5))&function(esk5_1(X5)))&relation_dom(esk5_1(X5))=X5)&![X12]:(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12)))),inference(skolemize,[status(esa)],[20])).
% fof(22, plain,![X5]:![X10]:![X12]:(((~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12))&((relation(esk5_1(X5))&function(esk5_1(X5)))&relation_dom(esk5_1(X5))=X5))|((~(X10=singleton(esk4_1(X5)))&in(esk4_1(X5),X5))|(((in(esk1_1(X5),X5)&esk2_1(X5)=singleton(esk1_1(X5)))&esk3_1(X5)=singleton(esk1_1(X5)))&~(esk2_1(X5)=esk3_1(X5))))),inference(shift_quantors,[status(thm)],[21])).
% fof(23, plain,![X5]:![X10]:![X12]:(((((((in(esk1_1(X5),X5)|~(X10=singleton(esk4_1(X5))))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12)))&((esk2_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12))))&((esk3_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12))))&((~(esk2_1(X5)=esk3_1(X5))|~(X10=singleton(esk4_1(X5))))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12))))&(((((in(esk1_1(X5),X5)|in(esk4_1(X5),X5))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12)))&((esk2_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12))))&((esk3_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12))))&((~(esk2_1(X5)=esk3_1(X5))|in(esk4_1(X5),X5))|(~(in(X12,X5))|apply(esk5_1(X5),X12)=singleton(X12)))))&((((((((in(esk1_1(X5),X5)|~(X10=singleton(esk4_1(X5))))|relation(esk5_1(X5)))&((esk2_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|relation(esk5_1(X5))))&((esk3_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|relation(esk5_1(X5))))&((~(esk2_1(X5)=esk3_1(X5))|~(X10=singleton(esk4_1(X5))))|relation(esk5_1(X5))))&(((((in(esk1_1(X5),X5)|in(esk4_1(X5),X5))|relation(esk5_1(X5)))&((esk2_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|relation(esk5_1(X5))))&((esk3_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|relation(esk5_1(X5))))&((~(esk2_1(X5)=esk3_1(X5))|in(esk4_1(X5),X5))|relation(esk5_1(X5)))))&((((((in(esk1_1(X5),X5)|~(X10=singleton(esk4_1(X5))))|function(esk5_1(X5)))&((esk2_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|function(esk5_1(X5))))&((esk3_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|function(esk5_1(X5))))&((~(esk2_1(X5)=esk3_1(X5))|~(X10=singleton(esk4_1(X5))))|function(esk5_1(X5))))&(((((in(esk1_1(X5),X5)|in(esk4_1(X5),X5))|function(esk5_1(X5)))&((esk2_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|function(esk5_1(X5))))&((esk3_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|function(esk5_1(X5))))&((~(esk2_1(X5)=esk3_1(X5))|in(esk4_1(X5),X5))|function(esk5_1(X5))))))&((((((in(esk1_1(X5),X5)|~(X10=singleton(esk4_1(X5))))|relation_dom(esk5_1(X5))=X5)&((esk2_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|relation_dom(esk5_1(X5))=X5))&((esk3_1(X5)=singleton(esk1_1(X5))|~(X10=singleton(esk4_1(X5))))|relation_dom(esk5_1(X5))=X5))&((~(esk2_1(X5)=esk3_1(X5))|~(X10=singleton(esk4_1(X5))))|relation_dom(esk5_1(X5))=X5))&(((((in(esk1_1(X5),X5)|in(esk4_1(X5),X5))|relation_dom(esk5_1(X5))=X5)&((esk2_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|relation_dom(esk5_1(X5))=X5))&((esk3_1(X5)=singleton(esk1_1(X5))|in(esk4_1(X5),X5))|relation_dom(esk5_1(X5))=X5))&((~(esk2_1(X5)=esk3_1(X5))|in(esk4_1(X5),X5))|relation_dom(esk5_1(X5))=X5))))),inference(distribute,[status(thm)],[22])).
% cnf(28,plain,(relation_dom(esk5_1(X1))=X1|X2!=singleton(esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(29,plain,(relation_dom(esk5_1(X1))=X1|esk3_1(X1)=singleton(esk1_1(X1))|X2!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(30,plain,(relation_dom(esk5_1(X1))=X1|esk2_1(X1)=singleton(esk1_1(X1))|X2!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(36,plain,(function(esk5_1(X1))|X2!=singleton(esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(37,plain,(function(esk5_1(X1))|esk3_1(X1)=singleton(esk1_1(X1))|X2!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(38,plain,(function(esk5_1(X1))|esk2_1(X1)=singleton(esk1_1(X1))|X2!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(44,plain,(relation(esk5_1(X1))|X2!=singleton(esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(45,plain,(relation(esk5_1(X1))|esk3_1(X1)=singleton(esk1_1(X1))|X2!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(46,plain,(relation(esk5_1(X1))|esk2_1(X1)=singleton(esk1_1(X1))|X2!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(52,plain,(apply(esk5_1(X1),X2)=singleton(X2)|~in(X2,X1)|X3!=singleton(esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(53,plain,(apply(esk5_1(X1),X2)=singleton(X2)|esk3_1(X1)=singleton(esk1_1(X1))|~in(X2,X1)|X3!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% cnf(54,plain,(apply(esk5_1(X1),X2)=singleton(X2)|esk2_1(X1)=singleton(esk1_1(X1))|~in(X2,X1)|X3!=singleton(esk4_1(X1))),inference(split_conjunct,[status(thm)],[23])).
% fof(72, negated_conjecture,?[X1]:![X2]:(((~(relation(X2))|~(function(X2)))|~(relation_dom(X2)=X1))|?[X3]:(in(X3,X1)&~(apply(X2,X3)=singleton(X3)))),inference(fof_nnf,[status(thm)],[8])).
% fof(73, negated_conjecture,?[X4]:![X5]:(((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=X4))|?[X6]:(in(X6,X4)&~(apply(X5,X6)=singleton(X6)))),inference(variable_rename,[status(thm)],[72])).
% fof(74, negated_conjecture,![X5]:(((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=esk8_0))|(in(esk9_1(X5),esk8_0)&~(apply(X5,esk9_1(X5))=singleton(esk9_1(X5))))),inference(skolemize,[status(esa)],[73])).
% fof(75, negated_conjecture,![X5]:((in(esk9_1(X5),esk8_0)|((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=esk8_0)))&(~(apply(X5,esk9_1(X5))=singleton(esk9_1(X5)))|((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=esk8_0)))),inference(distribute,[status(thm)],[74])).
% cnf(76,negated_conjecture,(relation_dom(X1)!=esk8_0|~function(X1)|~relation(X1)|apply(X1,esk9_1(X1))!=singleton(esk9_1(X1))),inference(split_conjunct,[status(thm)],[75])).
% cnf(77,negated_conjecture,(in(esk9_1(X1),esk8_0)|relation_dom(X1)!=esk8_0|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[75])).
% cnf(84,plain,(relation(esk5_1(X1))|esk3_1(X1)!=esk2_1(X1)),inference(er,[status(thm)],[44,theory(equality)])).
% cnf(86,plain,(function(esk5_1(X1))|esk3_1(X1)!=esk2_1(X1)),inference(er,[status(thm)],[36,theory(equality)])).
% cnf(135,plain,(relation_dom(esk5_1(X1))=X1|esk3_1(X1)!=esk2_1(X1)),inference(er,[status(thm)],[28,theory(equality)])).
% cnf(145,plain,(singleton(esk1_1(X1))=esk2_1(X1)|relation(esk5_1(X1))),inference(er,[status(thm)],[46,theory(equality)])).
% cnf(150,plain,(singleton(esk1_1(X1))=esk2_1(X1)|function(esk5_1(X1))),inference(er,[status(thm)],[38,theory(equality)])).
% cnf(155,plain,(singleton(esk1_1(X1))=esk3_1(X1)|relation(esk5_1(X1))),inference(er,[status(thm)],[45,theory(equality)])).
% cnf(160,plain,(singleton(esk1_1(X1))=esk3_1(X1)|function(esk5_1(X1))),inference(er,[status(thm)],[37,theory(equality)])).
% cnf(167,plain,(singleton(esk1_1(X1))=esk2_1(X1)|relation_dom(esk5_1(X1))=X1),inference(er,[status(thm)],[30,theory(equality)])).
% cnf(172,plain,(singleton(esk1_1(X1))=esk3_1(X1)|relation_dom(esk5_1(X1))=X1),inference(er,[status(thm)],[29,theory(equality)])).
% cnf(194,plain,(apply(esk5_1(X1),X2)=singleton(X2)|esk3_1(X1)!=esk2_1(X1)|~in(X2,X1)),inference(er,[status(thm)],[52,theory(equality)])).
% cnf(199,plain,(apply(esk5_1(X1),X2)=singleton(X2)|singleton(esk1_1(X1))=esk2_1(X1)|~in(X2,X1)),inference(er,[status(thm)],[54,theory(equality)])).
% cnf(204,plain,(apply(esk5_1(X1),X2)=singleton(X2)|singleton(esk1_1(X1))=esk3_1(X1)|~in(X2,X1)),inference(er,[status(thm)],[53,theory(equality)])).
% cnf(602,negated_conjecture,(relation_dom(esk5_1(X1))!=esk8_0|~function(esk5_1(X1))|~relation(esk5_1(X1))|esk3_1(X1)!=esk2_1(X1)|~in(esk9_1(esk5_1(X1)),X1)),inference(spm,[status(thm)],[76,194,theory(equality)])).
% cnf(608,negated_conjecture,(singleton(esk1_1(X1))=esk2_1(X1)|relation_dom(esk5_1(X1))!=esk8_0|~function(esk5_1(X1))|~relation(esk5_1(X1))|~in(esk9_1(esk5_1(X1)),X1)),inference(spm,[status(thm)],[76,199,theory(equality)])).
% cnf(614,negated_conjecture,(singleton(esk1_1(X1))=esk3_1(X1)|relation_dom(esk5_1(X1))!=esk8_0|~function(esk5_1(X1))|~relation(esk5_1(X1))|~in(esk9_1(esk5_1(X1)),X1)),inference(spm,[status(thm)],[76,204,theory(equality)])).
% cnf(11277,negated_conjecture,(relation_dom(esk5_1(X1))!=esk8_0|esk3_1(X1)!=esk2_1(X1)|~in(esk9_1(esk5_1(X1)),X1)|~function(esk5_1(X1))),inference(csr,[status(thm)],[602,84])).
% cnf(11278,negated_conjecture,(relation_dom(esk5_1(X1))!=esk8_0|esk3_1(X1)!=esk2_1(X1)|~in(esk9_1(esk5_1(X1)),X1)),inference(csr,[status(thm)],[11277,86])).
% cnf(11300,negated_conjecture,(relation_dom(esk5_1(esk8_0))!=esk8_0|esk3_1(esk8_0)!=esk2_1(esk8_0)|~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(spm,[status(thm)],[11278,77,theory(equality)])).
% cnf(11301,negated_conjecture,(relation_dom(esk5_1(esk8_0))!=esk8_0|esk3_1(esk8_0)!=esk2_1(esk8_0)|~function(esk5_1(esk8_0))),inference(csr,[status(thm)],[11300,84])).
% cnf(11302,negated_conjecture,(relation_dom(esk5_1(esk8_0))!=esk8_0|esk3_1(esk8_0)!=esk2_1(esk8_0)),inference(csr,[status(thm)],[11301,86])).
% cnf(11303,negated_conjecture,(esk3_1(esk8_0)!=esk2_1(esk8_0)),inference(csr,[status(thm)],[11302,135])).
% cnf(14114,negated_conjecture,(singleton(esk1_1(X1))=esk2_1(X1)|relation_dom(esk5_1(X1))!=esk8_0|~in(esk9_1(esk5_1(X1)),X1)|~function(esk5_1(X1))),inference(csr,[status(thm)],[608,145])).
% cnf(14115,negated_conjecture,(singleton(esk1_1(X1))=esk2_1(X1)|relation_dom(esk5_1(X1))!=esk8_0|~in(esk9_1(esk5_1(X1)),X1)),inference(csr,[status(thm)],[14114,150])).
% cnf(14139,negated_conjecture,(singleton(esk1_1(esk8_0))=esk2_1(esk8_0)|relation_dom(esk5_1(esk8_0))!=esk8_0|~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(spm,[status(thm)],[14115,77,theory(equality)])).
% cnf(14140,negated_conjecture,(singleton(esk1_1(esk8_0))=esk2_1(esk8_0)|relation_dom(esk5_1(esk8_0))!=esk8_0|~function(esk5_1(esk8_0))),inference(csr,[status(thm)],[14139,145])).
% cnf(14141,negated_conjecture,(singleton(esk1_1(esk8_0))=esk2_1(esk8_0)|relation_dom(esk5_1(esk8_0))!=esk8_0),inference(csr,[status(thm)],[14140,150])).
% cnf(14142,negated_conjecture,(singleton(esk1_1(esk8_0))=esk2_1(esk8_0)),inference(csr,[status(thm)],[14141,167])).
% cnf(43764,negated_conjecture,(singleton(esk1_1(X1))=esk3_1(X1)|relation_dom(esk5_1(X1))!=esk8_0|~in(esk9_1(esk5_1(X1)),X1)|~function(esk5_1(X1))),inference(csr,[status(thm)],[614,155])).
% cnf(43765,negated_conjecture,(singleton(esk1_1(X1))=esk3_1(X1)|relation_dom(esk5_1(X1))!=esk8_0|~in(esk9_1(esk5_1(X1)),X1)),inference(csr,[status(thm)],[43764,160])).
% cnf(43802,negated_conjecture,(singleton(esk1_1(esk8_0))=esk3_1(esk8_0)|relation_dom(esk5_1(esk8_0))!=esk8_0|~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(spm,[status(thm)],[43765,77,theory(equality)])).
% cnf(43803,negated_conjecture,(esk2_1(esk8_0)=esk3_1(esk8_0)|relation_dom(esk5_1(esk8_0))!=esk8_0|~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(rw,[status(thm)],[43802,14142,theory(equality)])).
% cnf(43804,negated_conjecture,(relation_dom(esk5_1(esk8_0))!=esk8_0|~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(sr,[status(thm)],[43803,11303,theory(equality)])).
% cnf(44192,negated_conjecture,(singleton(esk1_1(esk8_0))=esk3_1(esk8_0)|~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(spm,[status(thm)],[43804,172,theory(equality)])).
% cnf(44199,negated_conjecture,(esk2_1(esk8_0)=esk3_1(esk8_0)|~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(rw,[status(thm)],[44192,14142,theory(equality)])).
% cnf(44200,negated_conjecture,(~function(esk5_1(esk8_0))|~relation(esk5_1(esk8_0))),inference(sr,[status(thm)],[44199,11303,theory(equality)])).
% cnf(44237,negated_conjecture,(singleton(esk1_1(esk8_0))=esk3_1(esk8_0)|~relation(esk5_1(esk8_0))),inference(spm,[status(thm)],[44200,160,theory(equality)])).
% cnf(44244,negated_conjecture,(esk2_1(esk8_0)=esk3_1(esk8_0)|~relation(esk5_1(esk8_0))),inference(rw,[status(thm)],[44237,14142,theory(equality)])).
% cnf(44245,negated_conjecture,(~relation(esk5_1(esk8_0))),inference(sr,[status(thm)],[44244,11303,theory(equality)])).
% cnf(44282,negated_conjecture,(singleton(esk1_1(esk8_0))=esk3_1(esk8_0)),inference(spm,[status(thm)],[44245,155,theory(equality)])).
% cnf(44289,negated_conjecture,(esk2_1(esk8_0)=esk3_1(esk8_0)),inference(rw,[status(thm)],[44282,14142,theory(equality)])).
% cnf(44290,negated_conjecture,($false),inference(sr,[status(thm)],[44289,11303,theory(equality)])).
% cnf(44291,negated_conjecture,($false),44290,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 965
% # ...of these trivial                : 9
% # ...subsumed                        : 393
% # ...remaining for further processing: 563
% # Other redundant clauses eliminated : 417
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 39
% # Backward-rewritten                 : 3
% # Generated clauses                  : 40754
% # ...of the previous two non-trivial : 38419
% # Contextual simplify-reflections    : 228
% # Paramodulations                    : 40201
% # Factorizations                     : 79
% # Equation resolutions               : 474
% # Current number of processed clauses: 475
% #    Positive orientable unit clauses: 6
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 10
% #    Non-unit-clauses                : 459
% # Current number of unprocessed clauses: 36633
% # ...number of literals in the above : 236703
% # Clause-clause subsumption calls (NU) : 21013
% # Rec. Clause-clause subsumption calls : 9808
% # Unit Clause-clause subsumption calls : 29
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 1
% # Indexed BW rewrite successes       : 1
% # Backwards rewriting index:   259 leaves,   1.67+/-1.383 terms/leaf
% # Paramod-from index:           83 leaves,   1.46+/-1.112 terms/leaf
% # Paramod-into index:          214 leaves,   1.54+/-1.229 terms/leaf
% # -------------------------------------------------
% # User time              : 1.791 s
% # System time            : 0.050 s
% # Total time             : 1.841 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.80 CPU 2.90 WC
% FINAL PrfWatch: 2.80 CPU 2.90 WC
% SZS output end Solution for /tmp/SystemOnTPTP9074/SEU284+2.tptp
% 
%------------------------------------------------------------------------------