TSTP Solution File: SEU280+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU280+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 : art07.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 02:58:04 EST 2010

% Result   : Theorem 88.89s
% Output   : Solution 89.54s
% 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/SystemOnTPTP17076/SEU280+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~s1_xboole_0__e6_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 ... t23_ordinal1:
%  CSA axiom t23_ordinal1 found
% Looking for CSA axiom ... t3_ordinal1: CSA axiom t3_ordinal1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... t7_tarski:
%  CSA axiom t7_tarski found
% Looking for CSA axiom ... s1_tarski__e6_22__wellord2__1:
%  CSA axiom s1_tarski__e6_22__wellord2__1 found
% Looking for CSA axiom ... t24_ordinal1:
%  CSA axiom t24_ordinal1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :t24_ordinal1:s1_tarski__e6_22__wellord2__1:t7_tarski:t3_ordinal1:t23_ordinal1:antisymmetry_r2_hidden (6)
% Unselected axioms are ... :t31_ordinal1:s1_ordinal1__e8_6__wellord2:t2_tarski:antisymmetry_r2_xboole_0:existence_m1_subset_1:irreflexivity_r2_xboole_0:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:s1_tarski__e8_6__wellord2__1:s1_xboole_0__e8_6__wellord2__1:symmetry_r1_xboole_0:t1_xboole_1:connectedness_r1_ordinal1:reflexivity_r1_ordinal1:d3_tarski:t21_ordinal1:t33_ordinal1:t41_ordinal1:t1_subset:t7_boole:t10_ordinal1:t3_xboole_0:t42_ordinal1:commutativity_k2_xboole_0:commutativity_k3_xboole_0:existence_m2_relset_1:idempotence_k2_xboole_0:idempotence_k3_xboole_0:cc1_ordinal1:cc2_ordinal1:d2_subset_1:d4_ordinal1:l3_subset_1:l71_subset_1:rc1_ordinal1:redefinition_r1_ordinal1:t2_subset:t4_subset:t4_wellord2:t6_wellord2:t7_wellord2:dt_k1_wellord2:l2_zfmisc_1:t37_zfmisc_1:cc1_relat_1:d2_ordinal1:l50_zfmisc_1:rc1_relat_1:rc2_relat_1:t38_zfmisc_1:t8_boole:t92_zfmisc_1:t9_tarski:d10_xboole_0:d1_tarski:d1_xboole_0:d2_xboole_0:d3_ordinal1:d3_xboole_0:d4_xboole_0:d1_enumset1:d2_tarski:d4_tarski:t60_xboole_1:l55_zfmisc_1:t106_zfmisc_1:fc1_ordinal1:t32_ordinal1:cc1_funct_1:cc3_ordinal1:d1_zfmisc_1:d3_relat_1:dt_k4_relat_1:dt_k5_relat_1:dt_k6_relat_1:dt_k7_relat_1:dt_k8_relat_1:existence_m1_relset_1:fc1_subset_1:fc1_xboole_0:fc1_zfmisc_1:fc4_ordinal1:rc3_ordinal1:reflexivity_r2_wellord2:symmetry_r2_wellord2:t2_wellord2:t3_wellord2:t5_wellord2:t6_zfmisc_1:fc2_subset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:fc4_subset_1:l32_xboole_1:l3_zfmisc_1:t136_zfmisc_1:t37_xboole_1:d1_ordinal1:d1_relat_1:d1_relat_2:d1_setfam_1:d2_relat_1:d8_relat_2:l23_zfmisc_1:l2_wellord1:t118_zfmisc_1:t119_zfmisc_1:t16_relset_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t2_xboole_1:t30_relat_1:t33_xboole_1:t36_xboole_1:t46_zfmisc_1:t54_subset_1:t5_subset:t63_xboole_1:t65_zfmisc_1:t7_xboole_1:t8_xboole_1:dt_k2_subset_1:dt_k3_subset_1:dt_k5_setfam_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:t115_relat_1:t12_xboole_1:t14_relset_1:t19_wellord1:t28_xboole_1:t3_subset:t3_xboole_1:t86_relat_1:commutativity_k2_tarski:d1_relset_1:d2_zfmisc_1:d5_subset_1:d6_ordinal1:fc1_relat_1:fc2_relat_1:fc3_relat_1:l1_zfmisc_1:l25_zfmisc_1:l28_zfmisc_1:t10_zfmisc_1:t16_wellord1:t39_xboole_1:t40_xboole_1:t48_xboole_1:t4_xboole_0:t6_boole:t83_xboole_1:t99_zfmisc_1:d1_mcart_1:d2_mcart_1:d4_relat_1:d5_relat_1:d8_xboole_0:fc3_ordinal1:l4_wellord1:rc1_funct_1:rc2_ordinal1:t117_relat_1:t178_relat_1:t1_boole:t23_wellord1:t2_boole:t31_wellord1:t33_zfmisc_1:t35_funct_1:t3_boole:t43_subset_1:t4_boole:t56_relat_1:t69_enumset1:t88_relat_1:t8_zfmisc_1:t9_zfmisc_1:d10_relat_1:d11_relat_1:d12_relat_1:d13_relat_1:d14_relat_1:d1_wellord1:d4_relat_2:d4_subset_1:d6_relat_2:d7_relat_1:d8_relat_1:fc4_relat_1:fc5_relat_1:fc6_relat_1:fc7_relat_1:fc8_relat_1:l3_wellord1:rc2_funct_1:t32_wellord1:cc1_relset_1:cc2_funct_1:d14_relat_2:d1_wellord2:d7_xboole_0:d9_relat_2:fc10_relat_1:fc11_relat_1:fc9_relat_1:involutiveness_k4_relat_1:l1_wellord1:l4_zfmisc_1:s1_relat_1__e6_21__wellord2:t143_relat_1:t166_relat_1:t1_zfmisc_1:t20_relat_1:t39_zfmisc_1:t74_relat_1:rc1_subset_1:rc2_subset_1:redefinition_m2_relset_1:redefinition_r2_wellord2:s1_tarski__e6_21__wellord2__1:s1_xboole_0__e6_21__wellord2__1:t12_relset_1:t140_relat_1:t147_funct_1:t22_relset_1:t23_relset_1:t8_funct_1:d8_setfam_1:dt_k4_relset_1:dt_k5_relset_1:dt_m2_relset_1:fc1_funct_1:fc2_funct_1:fc4_funct_1:fc5_funct_1:t174_relat_1:t21_funct_1:t22_wellord1:t24_wellord1:t25_wellord1:t45_xboole_1:d3_wellord1:d5_tarski:dt_k2_funct_1:fc12_relat_1:fc13_relat_1:fc2_ordinal1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:rc3_funct_1:rc4_funct_1:t146_relat_1:t25_relat_1:t37_relat_1:t39_wellord1:t50_subset_1:t60_relat_1:t72_funct_1:d4_funct_1:d5_funct_1:d8_funct_1:fc3_funct_1:l29_wellord1:redefinition_k5_setfam_1:redefinition_k6_setfam_1:redefinition_k6_subset_1:t116_relat_1:t118_relat_1:t144_relat_1:t145_funct_1:t145_relat_1:t146_funct_1:t167_relat_1:t20_wellord1:t21_relat_1:t21_wellord1:t22_funct_1:t23_funct_1:t44_relat_1:t45_relat_1:t46_setfam_1:t49_wellord1:t54_wellord1:t5_wellord1:t62_funct_1:t68_funct_1:t7_mcart_1:t8_wellord1:t99_relat_1:d12_funct_1:d13_funct_1:d2_wellord1:d4_wellord2:d6_wellord1:dt_k2_wellord1:l82_funct_1:t119_relat_1:t160_relat_1:t17_wellord1:t18_wellord1:t34_funct_1:t46_relat_1:t47_relat_1:t47_setfam_1:t48_setfam_1:t55_funct_1:t64_relat_1:t65_relat_1:t70_funct_1:t71_relat_1:t90_relat_1:t94_relat_1:d6_relat_1:d7_wellord1:d9_funct_1:rc3_relat_1:redefinition_k4_relset_1:t54_funct_1:t57_funct_1:d12_relat_2:d16_relat_2:l30_wellord2:redefinition_k5_relset_1:t25_wellord2:t53_wellord1:d4_wellord1: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 (357)
% SZS status THM for /tmp/SystemOnTPTP17076/SEU280+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP17076/SEU280+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 18490
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(![X2]:![X3]:![X4]:((((X2=X3&ordinal(X3))&X2=X4)&ordinal(X4))=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,X1)&X4=X3)&ordinal(X3)))),file('/tmp/SRASS.s.p', s1_tarski__e6_22__wellord2__1)).
% fof(7, conjecture,![X1]:?[X2]:![X3]:(in(X3,X2)<=>(in(X3,X1)&ordinal(X3))),file('/tmp/SRASS.s.p', s1_xboole_0__e6_22__wellord2)).
% fof(8, negated_conjecture,~(![X1]:?[X2]:![X3]:(in(X3,X2)<=>(in(X3,X1)&ordinal(X3)))),inference(assume_negation,[status(cth)],[7])).
% fof(15, plain,![X1]:(?[X2]:?[X3]:?[X4]:((((X2=X3&ordinal(X3))&X2=X4)&ordinal(X4))&~(X3=X4))|?[X2]:![X3]:((~(in(X3,X2))|?[X4]:((in(X4,X1)&X4=X3)&ordinal(X3)))&(![X4]:((~(in(X4,X1))|~(X4=X3))|~(ordinal(X3)))|in(X3,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(16, plain,![X5]:(?[X6]:?[X7]:?[X8]:((((X6=X7&ordinal(X7))&X6=X8)&ordinal(X8))&~(X7=X8))|?[X9]:![X10]:((~(in(X10,X9))|?[X11]:((in(X11,X5)&X11=X10)&ordinal(X10)))&(![X12]:((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,X9)))),inference(variable_rename,[status(thm)],[15])).
% fof(17, plain,![X5]:(((((esk1_1(X5)=esk2_1(X5)&ordinal(esk2_1(X5)))&esk1_1(X5)=esk3_1(X5))&ordinal(esk3_1(X5)))&~(esk2_1(X5)=esk3_1(X5)))|![X10]:((~(in(X10,esk4_1(X5)))|((in(esk5_2(X5,X10),X5)&esk5_2(X5,X10)=X10)&ordinal(X10)))&(![X12]:((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5))))),inference(skolemize,[status(esa)],[16])).
% fof(18, plain,![X5]:![X10]:![X12]:(((((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))&(~(in(X10,esk4_1(X5)))|((in(esk5_2(X5,X10),X5)&esk5_2(X5,X10)=X10)&ordinal(X10))))|((((esk1_1(X5)=esk2_1(X5)&ordinal(esk2_1(X5)))&esk1_1(X5)=esk3_1(X5))&ordinal(esk3_1(X5)))&~(esk2_1(X5)=esk3_1(X5)))),inference(shift_quantors,[status(thm)],[17])).
% fof(19, plain,![X5]:![X10]:![X12]:((((((esk1_1(X5)=esk2_1(X5)|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5))))&(ordinal(esk2_1(X5))|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(esk1_1(X5)=esk3_1(X5)|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(ordinal(esk3_1(X5))|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(~(esk2_1(X5)=esk3_1(X5))|(((~(in(X12,X5))|~(X12=X10))|~(ordinal(X10)))|in(X10,esk4_1(X5)))))&(((((((esk1_1(X5)=esk2_1(X5)|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5)))))&(ordinal(esk2_1(X5))|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(esk1_1(X5)=esk3_1(X5)|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(ordinal(esk3_1(X5))|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(~(esk2_1(X5)=esk3_1(X5))|(in(esk5_2(X5,X10),X5)|~(in(X10,esk4_1(X5))))))&(((((esk1_1(X5)=esk2_1(X5)|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5)))))&(ordinal(esk2_1(X5))|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5))))))&(esk1_1(X5)=esk3_1(X5)|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5))))))&(ordinal(esk3_1(X5))|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5))))))&(~(esk2_1(X5)=esk3_1(X5))|(esk5_2(X5,X10)=X10|~(in(X10,esk4_1(X5)))))))&(((((esk1_1(X5)=esk2_1(X5)|(ordinal(X10)|~(in(X10,esk4_1(X5)))))&(ordinal(esk2_1(X5))|(ordinal(X10)|~(in(X10,esk4_1(X5))))))&(esk1_1(X5)=esk3_1(X5)|(ordinal(X10)|~(in(X10,esk4_1(X5))))))&(ordinal(esk3_1(X5))|(ordinal(X10)|~(in(X10,esk4_1(X5))))))&(~(esk2_1(X5)=esk3_1(X5))|(ordinal(X10)|~(in(X10,esk4_1(X5)))))))),inference(distribute,[status(thm)],[18])).
% cnf(20,plain,(ordinal(X1)|~in(X1,esk4_1(X2))|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(22,plain,(ordinal(X1)|esk1_1(X2)=esk3_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[19])).
% cnf(24,plain,(ordinal(X1)|esk1_1(X2)=esk2_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[19])).
% cnf(25,plain,(esk5_2(X2,X1)=X1|~in(X1,esk4_1(X2))|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(27,plain,(esk5_2(X2,X1)=X1|esk1_1(X2)=esk3_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[19])).
% cnf(29,plain,(esk5_2(X2,X1)=X1|esk1_1(X2)=esk2_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[19])).
% cnf(30,plain,(in(esk5_2(X2,X1),X2)|~in(X1,esk4_1(X2))|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(32,plain,(in(esk5_2(X2,X1),X2)|esk1_1(X2)=esk3_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[19])).
% cnf(34,plain,(in(esk5_2(X2,X1),X2)|esk1_1(X2)=esk2_1(X2)|~in(X1,esk4_1(X2))),inference(split_conjunct,[status(thm)],[19])).
% cnf(35,plain,(in(X1,esk4_1(X2))|~ordinal(X1)|X3!=X1|~in(X3,X2)|esk2_1(X2)!=esk3_1(X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(37,plain,(in(X1,esk4_1(X2))|esk1_1(X2)=esk3_1(X2)|~ordinal(X1)|X3!=X1|~in(X3,X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(39,plain,(in(X1,esk4_1(X2))|esk1_1(X2)=esk2_1(X2)|~ordinal(X1)|X3!=X1|~in(X3,X2)),inference(split_conjunct,[status(thm)],[19])).
% fof(56, negated_conjecture,?[X1]:![X2]:?[X3]:((~(in(X3,X2))|(~(in(X3,X1))|~(ordinal(X3))))&(in(X3,X2)|(in(X3,X1)&ordinal(X3)))),inference(fof_nnf,[status(thm)],[8])).
% fof(57, negated_conjecture,?[X4]:![X5]:?[X6]:((~(in(X6,X5))|(~(in(X6,X4))|~(ordinal(X6))))&(in(X6,X5)|(in(X6,X4)&ordinal(X6)))),inference(variable_rename,[status(thm)],[56])).
% fof(58, negated_conjecture,![X5]:((~(in(esk8_1(X5),X5))|(~(in(esk8_1(X5),esk7_0))|~(ordinal(esk8_1(X5)))))&(in(esk8_1(X5),X5)|(in(esk8_1(X5),esk7_0)&ordinal(esk8_1(X5))))),inference(skolemize,[status(esa)],[57])).
% fof(59, negated_conjecture,![X5]:((~(in(esk8_1(X5),X5))|(~(in(esk8_1(X5),esk7_0))|~(ordinal(esk8_1(X5)))))&((in(esk8_1(X5),esk7_0)|in(esk8_1(X5),X5))&(ordinal(esk8_1(X5))|in(esk8_1(X5),X5)))),inference(distribute,[status(thm)],[58])).
% cnf(60,negated_conjecture,(in(esk8_1(X1),X1)|ordinal(esk8_1(X1))),inference(split_conjunct,[status(thm)],[59])).
% cnf(61,negated_conjecture,(in(esk8_1(X1),X1)|in(esk8_1(X1),esk7_0)),inference(split_conjunct,[status(thm)],[59])).
% cnf(62,negated_conjecture,(~ordinal(esk8_1(X1))|~in(esk8_1(X1),esk7_0)|~in(esk8_1(X1),X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(65,plain,(esk1_1(X1)=esk2_1(X1)|in(X2,esk4_1(X1))|~in(X2,X1)|~ordinal(X2)),inference(er,[status(thm)],[39,theory(equality)])).
% cnf(66,plain,(esk1_1(X1)=esk3_1(X1)|in(X2,esk4_1(X1))|~in(X2,X1)|~ordinal(X2)),inference(er,[status(thm)],[37,theory(equality)])).
% cnf(67,plain,(in(X1,esk4_1(X2))|esk3_1(X2)!=esk2_1(X2)|~in(X1,X2)|~ordinal(X1)),inference(er,[status(thm)],[35,theory(equality)])).
% cnf(97,negated_conjecture,(esk1_1(X1)=esk2_1(X1)|in(esk8_1(X2),esk4_1(X1))|in(esk8_1(X2),X2)|~in(esk8_1(X2),X1)),inference(spm,[status(thm)],[65,60,theory(equality)])).
% cnf(134,negated_conjecture,(esk1_1(X1)=esk3_1(X1)|in(esk8_1(X2),esk4_1(X1))|in(esk8_1(X2),X2)|~in(esk8_1(X2),X1)),inference(spm,[status(thm)],[66,60,theory(equality)])).
% cnf(135,negated_conjecture,(in(esk8_1(X1),esk4_1(X2))|in(esk8_1(X1),X1)|esk3_1(X2)!=esk2_1(X2)|~in(esk8_1(X1),X2)),inference(spm,[status(thm)],[67,60,theory(equality)])).
% cnf(711,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)),inference(spm,[status(thm)],[97,61,theory(equality)])).
% cnf(1070,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(ef,[status(thm)],[711,theory(equality)])).
% cnf(1146,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))),inference(spm,[status(thm)],[29,1070,theory(equality)])).
% cnf(1243,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(spm,[status(thm)],[34,1146,theory(equality)])).
% cnf(2897,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(csr,[status(thm)],[1243,61])).
% cnf(2904,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))|~ordinal(esk8_1(esk4_1(esk7_0)))),inference(spm,[status(thm)],[62,2897,theory(equality)])).
% cnf(2942,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(csr,[status(thm)],[2904,24])).
% cnf(2943,negated_conjecture,(esk1_1(esk7_0)=esk2_1(esk7_0)),inference(csr,[status(thm)],[2942,1070])).
% cnf(3183,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)),inference(spm,[status(thm)],[134,61,theory(equality)])).
% cnf(3214,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)),inference(rw,[status(thm)],[3183,2943,theory(equality)])).
% cnf(3216,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(ef,[status(thm)],[3214,theory(equality)])).
% cnf(3317,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|ordinal(esk8_1(esk4_1(esk7_0)))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(spm,[status(thm)],[22,3216,theory(equality)])).
% cnf(3321,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(spm,[status(thm)],[27,3216,theory(equality)])).
% cnf(3339,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|ordinal(esk8_1(esk4_1(esk7_0)))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(rw,[status(thm)],[3317,2943,theory(equality)])).
% cnf(3340,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|ordinal(esk8_1(esk4_1(esk7_0)))),inference(cn,[status(thm)],[3339,theory(equality)])).
% cnf(3344,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))|esk3_1(esk7_0)=esk2_1(esk7_0)),inference(rw,[status(thm)],[3321,2943,theory(equality)])).
% cnf(3345,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))),inference(cn,[status(thm)],[3344,theory(equality)])).
% cnf(3431,negated_conjecture,(in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)|esk3_1(esk7_0)!=esk2_1(esk7_0)),inference(spm,[status(thm)],[135,61,theory(equality)])).
% cnf(3805,negated_conjecture,(in(esk8_1(X1),esk4_1(esk7_0))|in(esk8_1(X1),X1)),inference(csr,[status(thm)],[3431,3214])).
% cnf(3806,negated_conjecture,(in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(ef,[status(thm)],[3805,theory(equality)])).
% cnf(3906,negated_conjecture,(ordinal(esk8_1(esk4_1(esk7_0)))|esk3_1(esk7_0)!=esk2_1(esk7_0)),inference(spm,[status(thm)],[20,3806,theory(equality)])).
% cnf(3915,negated_conjecture,(esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))|esk3_1(esk7_0)!=esk2_1(esk7_0)),inference(spm,[status(thm)],[25,3806,theory(equality)])).
% cnf(4046,negated_conjecture,(ordinal(esk8_1(esk4_1(esk7_0)))),inference(csr,[status(thm)],[3906,3340])).
% cnf(4378,negated_conjecture,(esk5_2(esk7_0,esk8_1(esk4_1(esk7_0)))=esk8_1(esk4_1(esk7_0))),inference(csr,[status(thm)],[3915,3345])).
% cnf(4380,negated_conjecture,(esk1_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(spm,[status(thm)],[32,4378,theory(equality)])).
% cnf(4381,negated_conjecture,(in(esk8_1(esk4_1(esk7_0)),esk7_0)|esk3_1(esk7_0)!=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(spm,[status(thm)],[30,4378,theory(equality)])).
% cnf(4396,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))),inference(rw,[status(thm)],[4380,2943,theory(equality)])).
% cnf(4397,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)|$false),inference(rw,[status(thm)],[4396,3806,theory(equality)])).
% cnf(4398,negated_conjecture,(esk2_1(esk7_0)=esk3_1(esk7_0)|in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(cn,[status(thm)],[4397,theory(equality)])).
% cnf(4399,negated_conjecture,(in(esk8_1(esk4_1(esk7_0)),esk7_0)|esk3_1(esk7_0)!=esk2_1(esk7_0)|$false),inference(rw,[status(thm)],[4381,3806,theory(equality)])).
% cnf(4400,negated_conjecture,(in(esk8_1(esk4_1(esk7_0)),esk7_0)|esk3_1(esk7_0)!=esk2_1(esk7_0)),inference(cn,[status(thm)],[4399,theory(equality)])).
% cnf(4437,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)|~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))|~ordinal(esk8_1(esk4_1(esk7_0)))),inference(spm,[status(thm)],[62,4398,theory(equality)])).
% cnf(4451,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)|$false|~ordinal(esk8_1(esk4_1(esk7_0)))),inference(rw,[status(thm)],[4437,3806,theory(equality)])).
% cnf(4452,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)|$false|$false),inference(rw,[status(thm)],[4451,4046,theory(equality)])).
% cnf(4453,negated_conjecture,(esk3_1(esk7_0)=esk2_1(esk7_0)),inference(cn,[status(thm)],[4452,theory(equality)])).
% cnf(4507,negated_conjecture,(in(esk8_1(esk4_1(esk7_0)),esk7_0)|$false),inference(rw,[status(thm)],[4400,4453,theory(equality)])).
% cnf(4508,negated_conjecture,(in(esk8_1(esk4_1(esk7_0)),esk7_0)),inference(cn,[status(thm)],[4507,theory(equality)])).
% cnf(4517,negated_conjecture,(~in(esk8_1(esk4_1(esk7_0)),esk4_1(esk7_0))|~ordinal(esk8_1(esk4_1(esk7_0)))),inference(spm,[status(thm)],[62,4508,theory(equality)])).
% cnf(4533,negated_conjecture,($false|~ordinal(esk8_1(esk4_1(esk7_0)))),inference(rw,[status(thm)],[4517,3806,theory(equality)])).
% cnf(4534,negated_conjecture,($false|$false),inference(rw,[status(thm)],[4533,4046,theory(equality)])).
% cnf(4535,negated_conjecture,($false),inference(cn,[status(thm)],[4534,theory(equality)])).
% cnf(4536,negated_conjecture,($false),4535,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 559
% # ...of these trivial                : 6
% # ...subsumed                        : 154
% # ...remaining for further processing: 399
% # Other redundant clauses eliminated : 5
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 47
% # Backward-rewritten                 : 125
% # Generated clauses                  : 3773
% # ...of the previous two non-trivial : 3487
% # Contextual simplify-reflections    : 130
% # Paramodulations                    : 3746
% # Factorizations                     : 22
% # Equation resolutions               : 5
% # Current number of processed clauses: 193
% #    Positive orientable unit clauses: 8
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 5
% #    Non-unit-clauses                : 180
% # Current number of unprocessed clauses: 1149
% # ...number of literals in the above : 5616
% # Clause-clause subsumption calls (NU) : 3753
% # Rec. Clause-clause subsumption calls : 2830
% # Unit Clause-clause subsumption calls : 74
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 10
% # Indexed BW rewrite successes       : 7
% # Backwards rewriting index:   125 leaves,   1.46+/-0.951 terms/leaf
% # Paramod-from index:           30 leaves,   1.43+/-1.023 terms/leaf
% # Paramod-into index:           92 leaves,   1.41+/-0.849 terms/leaf
% # -------------------------------------------------
% # User time              : 0.171 s
% # System time            : 0.008 s
% # Total time             : 0.179 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.32 CPU 0.40 WC
% FINAL PrfWatch: 0.32 CPU 0.40 WC
% SZS output end Solution for /tmp/SystemOnTPTP17076/SEU280+2.tptp
% 
%------------------------------------------------------------------------------