TSTP Solution File: SEU277+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 : Tue Jul 19 13:30:35 EDT 2022
% Result : Timeout 300.03s 300.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU277+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n024.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 : Sun Jun 19 21:21:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.48/1.01 ============================== Prover9 ===============================
% 0.48/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.48/1.01 Process 15590 was started by sandbox on n024.cluster.edu,
% 0.48/1.01 Sun Jun 19 21:21:03 2022
% 0.48/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15436_n024.cluster.edu".
% 0.48/1.01 ============================== end of head ===========================
% 0.48/1.01
% 0.48/1.01 ============================== INPUT =================================
% 0.48/1.01
% 0.48/1.01 % Reading from file /tmp/Prover9_15436_n024.cluster.edu
% 0.48/1.01
% 0.48/1.01 set(prolog_style_variables).
% 0.48/1.01 set(auto2).
% 0.48/1.01 % set(auto2) -> set(auto).
% 0.48/1.01 % set(auto) -> set(auto_inference).
% 0.48/1.01 % set(auto) -> set(auto_setup).
% 0.48/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.48/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/1.01 % set(auto) -> set(auto_limits).
% 0.48/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/1.01 % set(auto) -> set(auto_denials).
% 0.48/1.01 % set(auto) -> set(auto_process).
% 0.48/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.48/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.48/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.48/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.48/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.48/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.48/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.48/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.48/1.01 % set(auto2) -> assign(stats, some).
% 0.48/1.01 % set(auto2) -> clear(echo_input).
% 0.48/1.01 % set(auto2) -> set(quiet).
% 0.48/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.48/1.01 % set(auto2) -> clear(print_given).
% 0.48/1.01 assign(lrs_ticks,-1).
% 0.48/1.01 assign(sos_limit,10000).
% 0.48/1.01 assign(order,kbo).
% 0.48/1.01 set(lex_order_vars).
% 0.48/1.01 clear(print_given).
% 0.48/1.01
% 0.48/1.01 % formulas(sos). % not echoed (20 formulas)
% 0.48/1.01
% 0.48/1.01 ============================== end of input ==========================
% 0.48/1.01
% 0.48/1.01 % From the command line: assign(max_seconds, 300).
% 0.48/1.01
% 0.48/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/1.01
% 0.48/1.01 % Formulas that are not ordinary clauses:
% 0.48/1.01 1 (exists A (relation(A) & function(A) & one_to_one(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 2 (all A (ordinal(A) -> epsilon_transitive(A) & epsilon_connected(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 3 (all A (epsilon_transitive(A) & epsilon_connected(A) -> ordinal(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 4 (exists A (epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 5 (exists A (relation(A) & function(A) & one_to_one(A) & empty(A) & epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 6 (exists A (-empty(A) & epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 7 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 8 (exists A (relation(A) & empty(A) & function(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 9 (all A (relation(A) & empty(A) & function(A) -> relation(A) & function(A) & one_to_one(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 10 (all A (empty(A) -> epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 11 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 12 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 13 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 14 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 15 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 16 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 17 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 18 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 19 (all A all B all C (relation(B) & relation(C) & function(C) -> ((all D all E all F (D = E & (exists G exists H (E = ordered_pair(G,H) & in(ordered_pair(apply(C,G),apply(C,H)),B))) & D = F & (exists I exists J (F = ordered_pair(I,J) & in(ordered_pair(apply(C,I),apply(C,J)),B))) -> E = F)) -> (exists D all E (in(E,D) <-> (exists F (in(F,cartesian_product2(A,A)) & F = E & (exists K exists L (E = ordered_pair(K,L) & in(ordered_pair(apply(C,K),apply(C,L)),B)))))))))) # label(s1_tarski__e6_21__wellord2__1) # label(axiom) # label(non_clause). [assumption].
% 0.48/1.01 20 -(all A all B all C (relation(B) & relation(C) & function(C) -> (exists D all E (in(E,D) <-> in(E,cartesian_product2(A,A)) & (exists F exists G (E = ordered_pair(F,G) & in(ordered_pair(apply(C,F),apply(C,G)),B))))))) # label(s1_xboole_0__e6_21__wellord2__1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.48/1.01
% 0.48/1.01 ============================== end of process non-clausal formulas ===
% 0.48/1.01
% 0.48/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.48/1.01
% 0.48/1.01 ============================== PREDICATE ELIMINATION =================
% 0.48/1.01 21 -relation(A) | -empty(A) | -function(A) | one_to_one(A) # label(cc2_funct_1) # label(axiom). [clausify(9)].
% 0.48/1.01 22 function(c1) # label(rc3_funct_1) # label(axiom). [clausify(1)].
% 0.48/1.01 23 function(c3) # label(rc2_ordinal1) # label(axiom). [clausify(5)].
% 0.48/1.01 24 function(c5) # label(rc2_funct_1) # label(axiom). [clausify(8)].
% 0.48/1.01 25 function(c8) # label(rc1_funct_1) # label(axiom). [clausify(17)].
% 0.48/1.01 26 function(c11) # label(s1_xboole_0__e6_21__wellord2__1) # label(negated_conjecture). [clausify(20)].
% 0.48/1.01 27 -empty(A) | function(A) # label(cc1_funct_1) # label(axiom). [clausify(7)].
% 0.48/1.01 Derived: -relation(c1) | -empty(c1) | one_to_one(c1). [resolve(21,c,22,a)].
% 0.48/1.01 Derived: -relation(c3) | -empty(c3) | one_to_one(c3). [resolve(21,c,23,a)].
% 0.48/1.01 Derived: -relation(c5) | -empty(c5) | one_to_one(c5). [resolve(21,c,24,a)].
% 0.48/1.01 Derived: -relation(c8) | -empty(c8) | one_to_one(c8). [resolve(21,c,25,a)].
% 0.48/1.01 Derived: -relation(c11) | -empty(c11) | one_to_one(c11). [resolve(21,c,26,a)].
% 0.48/1.01 Derived: -relation(A) | -empty(A) | one_to_one(A) | -empty(A). [resolve(21,c,27,b)].
% 0.48/1.01 28 -relation(A) | -relation(B) | -function(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.01 Derived: -relation(A) | -relation(c1) | f2(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | f9(B,A,c1,C) = C. [resolve(28,c,22,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c3) | f2(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(28,c,23,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c5) | f2(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(28,c,24,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c8) | f2(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(28,c,25,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c11) | f2(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | f9(B,A,c11,C) = C. [resolve(28,c,26,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D | -empty(B). [resolve(28,c,27,b)].
% 0.48/1.01 29 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.01 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | f9(B,A,c1,C) = C. [resolve(29,c,22,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(29,c,23,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(29,c,24,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(29,c,25,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | f9(B,A,c11,C) = C. [resolve(29,c,26,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D | -empty(B). [resolve(29,c,27,b)].
% 0.48/1.01 30 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.01 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) != f2(B,A,c1) | -in(C,f8(B,A,c1)) | f9(B,A,c1,C) = C. [resolve(30,c,22,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) != f2(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(30,c,23,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) != f2(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(30,c,24,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) != f2(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(30,c,25,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) != f2(B,A,c11) | -in(C,f8(B,A,c11)) | f9(B,A,c11,C) = C. [resolve(30,c,26,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D | -empty(B). [resolve(30,c,27,b)].
% 0.48/1.01 31 -relation(A) | -relation(B) | -function(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.01 Derived: -relation(A) | -relation(c1) | f2(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | in(f9(B,A,c1,C),cartesian_product2(B,B)). [resolve(31,c,22,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c3) | f2(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),cartesian_product2(B,B)). [resolve(31,c,23,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c5) | f2(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),cartesian_product2(B,B)). [resolve(31,c,24,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c8) | f2(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),cartesian_product2(B,B)). [resolve(31,c,25,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c11) | f2(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | in(f9(B,A,c11,C),cartesian_product2(B,B)). [resolve(31,c,26,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) | -empty(B). [resolve(31,c,27,b)].
% 0.48/1.01 32 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.01 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | in(f9(B,A,c1,C),cartesian_product2(B,B)). [resolve(32,c,22,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),cartesian_product2(B,B)). [resolve(32,c,23,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),cartesian_product2(B,B)). [resolve(32,c,24,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),cartesian_product2(B,B)). [resolve(32,c,25,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | in(f9(B,A,c11,C),cartesian_product2(B,B)). [resolve(32,c,26,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) | -empty(B). [resolve(32,c,27,b)].
% 0.48/1.01 33 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.01 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) != f2(B,A,c1) | -in(C,f8(B,A,c1)) | in(f9(B,A,c1,C),cartesian_product2(B,B)). [resolve(33,c,22,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) != f2(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),cartesian_product2(B,B)). [resolve(33,c,23,a)].
% 0.48/1.01 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) != f2(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),cartesian_product2(B,B)). [resolve(33,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) != f2(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),cartesian_product2(B,B)). [resolve(33,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) != f2(B,A,c11) | -in(C,f8(B,A,c11)) | in(f9(B,A,c11,C),cartesian_product2(B,B)). [resolve(33,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) | -empty(B). [resolve(33,c,27,b)].
% 0.48/1.02 34 -relation(A) | -relation(B) | -function(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | ordered_pair(f4(B,A,c1),f5(B,A,c1)) = f2(B,A,c1) | -in(C,f8(B,A,c1)) | f9(B,A,c1,C) = C. [resolve(34,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | ordered_pair(f4(B,A,c3),f5(B,A,c3)) = f2(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(34,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | ordered_pair(f4(B,A,c5),f5(B,A,c5)) = f2(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(34,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | ordered_pair(f4(B,A,c8),f5(B,A,c8)) = f2(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(34,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | ordered_pair(f4(B,A,c11),f5(B,A,c11)) = f2(B,A,c11) | -in(C,f8(B,A,c11)) | f9(B,A,c11,C) = C. [resolve(34,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D | -empty(B). [resolve(34,c,27,b)].
% 0.48/1.02 35 -relation(A) | -relation(B) | -function(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | ordered_pair(f6(B,A,c1),f7(B,A,c1)) = f3(B,A,c1) | -in(C,f8(B,A,c1)) | f9(B,A,c1,C) = C. [resolve(35,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | ordered_pair(f6(B,A,c3),f7(B,A,c3)) = f3(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(35,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | ordered_pair(f6(B,A,c5),f7(B,A,c5)) = f3(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(35,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | ordered_pair(f6(B,A,c8),f7(B,A,c8)) = f3(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(35,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | ordered_pair(f6(B,A,c11),f7(B,A,c11)) = f3(B,A,c11) | -in(C,f8(B,A,c11)) | f9(B,A,c11,C) = C. [resolve(35,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D | -empty(B). [resolve(35,c,27,b)].
% 0.48/1.02 36 -relation(A) | -relation(B) | -function(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | f2(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | ordered_pair(f10(B,A,c1,C),f11(B,A,c1,C)) = C. [resolve(36,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | f2(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | ordered_pair(f10(B,A,c3,C),f11(B,A,c3,C)) = C. [resolve(36,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | f2(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | ordered_pair(f10(B,A,c5,C),f11(B,A,c5,C)) = C. [resolve(36,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | f2(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | ordered_pair(f10(B,A,c8,C),f11(B,A,c8,C)) = C. [resolve(36,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | f2(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | ordered_pair(f10(B,A,c11,C),f11(B,A,c11,C)) = C. [resolve(36,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D | -empty(B). [resolve(36,c,27,b)].
% 0.48/1.02 37 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f4(B,A,c1)),apply(c1,f5(B,A,c1))),A) | -in(C,f8(B,A,c1)) | f9(B,A,c1,C) = C. [resolve(37,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f4(B,A,c3)),apply(c3,f5(B,A,c3))),A) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(37,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f4(B,A,c5)),apply(c5,f5(B,A,c5))),A) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(37,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f4(B,A,c8)),apply(c8,f5(B,A,c8))),A) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(37,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f4(B,A,c11)),apply(c11,f5(B,A,c11))),A) | -in(C,f8(B,A,c11)) | f9(B,A,c11,C) = C. [resolve(37,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D | -empty(B). [resolve(37,c,27,b)].
% 0.48/1.02 38 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | ordered_pair(f10(B,A,c1,C),f11(B,A,c1,C)) = C. [resolve(38,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | ordered_pair(f10(B,A,c3,C),f11(B,A,c3,C)) = C. [resolve(38,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | ordered_pair(f10(B,A,c5,C),f11(B,A,c5,C)) = C. [resolve(38,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | ordered_pair(f10(B,A,c8,C),f11(B,A,c8,C)) = C. [resolve(38,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | ordered_pair(f10(B,A,c11,C),f11(B,A,c11,C)) = C. [resolve(38,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D | -empty(B). [resolve(38,c,27,b)].
% 0.48/1.02 39 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f6(B,A,c1)),apply(c1,f7(B,A,c1))),A) | -in(C,f8(B,A,c1)) | f9(B,A,c1,C) = C. [resolve(39,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f6(B,A,c3)),apply(c3,f7(B,A,c3))),A) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(39,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f6(B,A,c5)),apply(c5,f7(B,A,c5))),A) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(39,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f6(B,A,c8)),apply(c8,f7(B,A,c8))),A) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(39,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f6(B,A,c11)),apply(c11,f7(B,A,c11))),A) | -in(C,f8(B,A,c11)) | f9(B,A,c11,C) = C. [resolve(39,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | f9(C,A,B,D) = D | -empty(B). [resolve(39,c,27,b)].
% 0.48/1.02 40 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) != f2(B,A,c1) | -in(C,f8(B,A,c1)) | ordered_pair(f10(B,A,c1,C),f11(B,A,c1,C)) = C. [resolve(40,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) != f2(B,A,c3) | -in(C,f8(B,A,c3)) | ordered_pair(f10(B,A,c3,C),f11(B,A,c3,C)) = C. [resolve(40,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) != f2(B,A,c5) | -in(C,f8(B,A,c5)) | ordered_pair(f10(B,A,c5,C),f11(B,A,c5,C)) = C. [resolve(40,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) != f2(B,A,c8) | -in(C,f8(B,A,c8)) | ordered_pair(f10(B,A,c8,C),f11(B,A,c8,C)) = C. [resolve(40,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) != f2(B,A,c11) | -in(C,f8(B,A,c11)) | ordered_pair(f10(B,A,c11,C),f11(B,A,c11,C)) = C. [resolve(40,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D | -empty(B). [resolve(40,c,27,b)].
% 0.48/1.02 41 -relation(A) | -relation(B) | -function(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | ordered_pair(f4(B,A,c1),f5(B,A,c1)) = f2(B,A,c1) | -in(C,f8(B,A,c1)) | in(f9(B,A,c1,C),cartesian_product2(B,B)). [resolve(41,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | ordered_pair(f4(B,A,c3),f5(B,A,c3)) = f2(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),cartesian_product2(B,B)). [resolve(41,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | ordered_pair(f4(B,A,c5),f5(B,A,c5)) = f2(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),cartesian_product2(B,B)). [resolve(41,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | ordered_pair(f4(B,A,c8),f5(B,A,c8)) = f2(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),cartesian_product2(B,B)). [resolve(41,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | ordered_pair(f4(B,A,c11),f5(B,A,c11)) = f2(B,A,c11) | -in(C,f8(B,A,c11)) | in(f9(B,A,c11,C),cartesian_product2(B,B)). [resolve(41,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) | -empty(B). [resolve(41,c,27,b)].
% 0.48/1.02 42 -relation(A) | -relation(B) | -function(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | ordered_pair(f6(B,A,c1),f7(B,A,c1)) = f3(B,A,c1) | -in(C,f8(B,A,c1)) | in(f9(B,A,c1,C),cartesian_product2(B,B)). [resolve(42,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | ordered_pair(f6(B,A,c3),f7(B,A,c3)) = f3(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),cartesian_product2(B,B)). [resolve(42,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | ordered_pair(f6(B,A,c5),f7(B,A,c5)) = f3(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),cartesian_product2(B,B)). [resolve(42,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | ordered_pair(f6(B,A,c8),f7(B,A,c8)) = f3(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),cartesian_product2(B,B)). [resolve(42,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | ordered_pair(f6(B,A,c11),f7(B,A,c11)) = f3(B,A,c11) | -in(C,f8(B,A,c11)) | in(f9(B,A,c11,C),cartesian_product2(B,B)). [resolve(42,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) | -empty(B). [resolve(42,c,27,b)].
% 0.48/1.02 43 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f4(B,A,c1)),apply(c1,f5(B,A,c1))),A) | -in(C,f8(B,A,c1)) | in(f9(B,A,c1,C),cartesian_product2(B,B)). [resolve(43,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f4(B,A,c3)),apply(c3,f5(B,A,c3))),A) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),cartesian_product2(B,B)). [resolve(43,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f4(B,A,c5)),apply(c5,f5(B,A,c5))),A) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),cartesian_product2(B,B)). [resolve(43,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f4(B,A,c8)),apply(c8,f5(B,A,c8))),A) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),cartesian_product2(B,B)). [resolve(43,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f4(B,A,c11)),apply(c11,f5(B,A,c11))),A) | -in(C,f8(B,A,c11)) | in(f9(B,A,c11,C),cartesian_product2(B,B)). [resolve(43,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) | -empty(B). [resolve(43,c,27,b)].
% 0.48/1.02 44 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f6(B,A,c1)),apply(c1,f7(B,A,c1))),A) | -in(C,f8(B,A,c1)) | in(f9(B,A,c1,C),cartesian_product2(B,B)). [resolve(44,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f6(B,A,c3)),apply(c3,f7(B,A,c3))),A) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),cartesian_product2(B,B)). [resolve(44,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f6(B,A,c5)),apply(c5,f7(B,A,c5))),A) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),cartesian_product2(B,B)). [resolve(44,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f6(B,A,c8)),apply(c8,f7(B,A,c8))),A) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),cartesian_product2(B,B)). [resolve(44,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f6(B,A,c11)),apply(c11,f7(B,A,c11))),A) | -in(C,f8(B,A,c11)) | in(f9(B,A,c11,C),cartesian_product2(B,B)). [resolve(44,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | in(f9(C,A,B,D),cartesian_product2(C,C)) | -empty(B). [resolve(44,c,27,b)].
% 0.48/1.02 45 -relation(A) | -relation(B) | -function(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | f2(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | in(ordered_pair(apply(c1,f10(B,A,c1,C)),apply(c1,f11(B,A,c1,C))),A). [resolve(45,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | f2(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | in(ordered_pair(apply(c3,f10(B,A,c3,C)),apply(c3,f11(B,A,c3,C))),A). [resolve(45,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | f2(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | in(ordered_pair(apply(c5,f10(B,A,c5,C)),apply(c5,f11(B,A,c5,C))),A). [resolve(45,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | f2(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | in(ordered_pair(apply(c8,f10(B,A,c8,C)),apply(c8,f11(B,A,c8,C))),A). [resolve(45,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | f2(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | in(ordered_pair(apply(c11,f10(B,A,c11,C)),apply(c11,f11(B,A,c11,C))),A). [resolve(45,c,26,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(B) | f2(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) | -empty(B). [resolve(45,c,27,b)].
% 0.48/1.02 46 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.02 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) = f1(B,A,c1) | -in(C,f8(B,A,c1)) | in(ordered_pair(apply(c1,f10(B,A,c1,C)),apply(c1,f11(B,A,c1,C))),A). [resolve(46,c,22,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) = f1(B,A,c3) | -in(C,f8(B,A,c3)) | in(ordered_pair(apply(c3,f10(B,A,c3,C)),apply(c3,f11(B,A,c3,C))),A). [resolve(46,c,23,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) = f1(B,A,c5) | -in(C,f8(B,A,c5)) | in(ordered_pair(apply(c5,f10(B,A,c5,C)),apply(c5,f11(B,A,c5,C))),A). [resolve(46,c,24,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) = f1(B,A,c8) | -in(C,f8(B,A,c8)) | in(ordered_pair(apply(c8,f10(B,A,c8,C)),apply(c8,f11(B,A,c8,C))),A). [resolve(46,c,25,a)].
% 0.48/1.02 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) = f1(B,A,c11) | -in(C,f8(B,A,c11)) | in(ordered_pair(apply(c11,f10(B,A,c11,C)),apply(c11,f11(B,A,c11,C))),A). [resolve(46,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | f3(C,A,B) = f1(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) | -empty(B). [resolve(46,c,27,b)].
% 0.48/1.03 47 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) != f2(B,A,c1) | -in(C,f8(B,A,c1)) | in(ordered_pair(apply(c1,f10(B,A,c1,C)),apply(c1,f11(B,A,c1,C))),A). [resolve(47,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) != f2(B,A,c3) | -in(C,f8(B,A,c3)) | in(ordered_pair(apply(c3,f10(B,A,c3,C)),apply(c3,f11(B,A,c3,C))),A). [resolve(47,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) != f2(B,A,c5) | -in(C,f8(B,A,c5)) | in(ordered_pair(apply(c5,f10(B,A,c5,C)),apply(c5,f11(B,A,c5,C))),A). [resolve(47,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) != f2(B,A,c8) | -in(C,f8(B,A,c8)) | in(ordered_pair(apply(c8,f10(B,A,c8,C)),apply(c8,f11(B,A,c8,C))),A). [resolve(47,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) != f2(B,A,c11) | -in(C,f8(B,A,c11)) | in(ordered_pair(apply(c11,f10(B,A,c11,C)),apply(c11,f11(B,A,c11,C))),A). [resolve(47,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | f3(C,A,B) != f2(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) | -empty(B). [resolve(47,c,27,b)].
% 0.48/1.03 48 -relation(A) | -relation(B) | -function(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | ordered_pair(f4(B,A,c1),f5(B,A,c1)) = f2(B,A,c1) | -in(C,f8(B,A,c1)) | ordered_pair(f10(B,A,c1,C),f11(B,A,c1,C)) = C. [resolve(48,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | ordered_pair(f4(B,A,c3),f5(B,A,c3)) = f2(B,A,c3) | -in(C,f8(B,A,c3)) | ordered_pair(f10(B,A,c3,C),f11(B,A,c3,C)) = C. [resolve(48,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | ordered_pair(f4(B,A,c5),f5(B,A,c5)) = f2(B,A,c5) | -in(C,f8(B,A,c5)) | ordered_pair(f10(B,A,c5,C),f11(B,A,c5,C)) = C. [resolve(48,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | ordered_pair(f4(B,A,c8),f5(B,A,c8)) = f2(B,A,c8) | -in(C,f8(B,A,c8)) | ordered_pair(f10(B,A,c8,C),f11(B,A,c8,C)) = C. [resolve(48,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | ordered_pair(f4(B,A,c11),f5(B,A,c11)) = f2(B,A,c11) | -in(C,f8(B,A,c11)) | ordered_pair(f10(B,A,c11,C),f11(B,A,c11,C)) = C. [resolve(48,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D | -empty(B). [resolve(48,c,27,b)].
% 0.48/1.03 49 -relation(A) | -relation(B) | -function(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | ordered_pair(f6(B,A,c1),f7(B,A,c1)) = f3(B,A,c1) | -in(C,f8(B,A,c1)) | ordered_pair(f10(B,A,c1,C),f11(B,A,c1,C)) = C. [resolve(49,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | ordered_pair(f6(B,A,c3),f7(B,A,c3)) = f3(B,A,c3) | -in(C,f8(B,A,c3)) | ordered_pair(f10(B,A,c3,C),f11(B,A,c3,C)) = C. [resolve(49,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | ordered_pair(f6(B,A,c5),f7(B,A,c5)) = f3(B,A,c5) | -in(C,f8(B,A,c5)) | ordered_pair(f10(B,A,c5,C),f11(B,A,c5,C)) = C. [resolve(49,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | ordered_pair(f6(B,A,c8),f7(B,A,c8)) = f3(B,A,c8) | -in(C,f8(B,A,c8)) | ordered_pair(f10(B,A,c8,C),f11(B,A,c8,C)) = C. [resolve(49,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | ordered_pair(f6(B,A,c11),f7(B,A,c11)) = f3(B,A,c11) | -in(C,f8(B,A,c11)) | ordered_pair(f10(B,A,c11,C),f11(B,A,c11,C)) = C. [resolve(49,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D | -empty(B). [resolve(49,c,27,b)].
% 0.48/1.03 50 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f4(B,A,c1)),apply(c1,f5(B,A,c1))),A) | -in(C,f8(B,A,c1)) | ordered_pair(f10(B,A,c1,C),f11(B,A,c1,C)) = C. [resolve(50,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f4(B,A,c3)),apply(c3,f5(B,A,c3))),A) | -in(C,f8(B,A,c3)) | ordered_pair(f10(B,A,c3,C),f11(B,A,c3,C)) = C. [resolve(50,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f4(B,A,c5)),apply(c5,f5(B,A,c5))),A) | -in(C,f8(B,A,c5)) | ordered_pair(f10(B,A,c5,C),f11(B,A,c5,C)) = C. [resolve(50,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f4(B,A,c8)),apply(c8,f5(B,A,c8))),A) | -in(C,f8(B,A,c8)) | ordered_pair(f10(B,A,c8,C),f11(B,A,c8,C)) = C. [resolve(50,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f4(B,A,c11)),apply(c11,f5(B,A,c11))),A) | -in(C,f8(B,A,c11)) | ordered_pair(f10(B,A,c11,C),f11(B,A,c11,C)) = C. [resolve(50,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D | -empty(B). [resolve(50,c,27,b)].
% 0.48/1.03 51 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f6(B,A,c1)),apply(c1,f7(B,A,c1))),A) | -in(C,f8(B,A,c1)) | ordered_pair(f10(B,A,c1,C),f11(B,A,c1,C)) = C. [resolve(51,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f6(B,A,c3)),apply(c3,f7(B,A,c3))),A) | -in(C,f8(B,A,c3)) | ordered_pair(f10(B,A,c3,C),f11(B,A,c3,C)) = C. [resolve(51,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f6(B,A,c5)),apply(c5,f7(B,A,c5))),A) | -in(C,f8(B,A,c5)) | ordered_pair(f10(B,A,c5,C),f11(B,A,c5,C)) = C. [resolve(51,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f6(B,A,c8)),apply(c8,f7(B,A,c8))),A) | -in(C,f8(B,A,c8)) | ordered_pair(f10(B,A,c8,C),f11(B,A,c8,C)) = C. [resolve(51,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f6(B,A,c11)),apply(c11,f7(B,A,c11))),A) | -in(C,f8(B,A,c11)) | ordered_pair(f10(B,A,c11,C),f11(B,A,c11,C)) = C. [resolve(51,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | ordered_pair(f10(C,A,B,D),f11(C,A,B,D)) = D | -empty(B). [resolve(51,c,27,b)].
% 0.48/1.03 52 -relation(A) | -relation(B) | -function(B) | f2(C,A,B) = f1(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | f2(B,A,c1) = f1(B,A,c1) | in(C,f8(B,A,c1)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c1,E),apply(c1,F)),A). [resolve(52,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | f2(B,A,c3) = f1(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c3,E),apply(c3,F)),A). [resolve(52,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | f2(B,A,c5) = f1(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c5,E),apply(c5,F)),A). [resolve(52,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | f2(B,A,c8) = f1(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c8,E),apply(c8,F)),A). [resolve(52,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | f2(B,A,c11) = f1(B,A,c11) | in(C,f8(B,A,c11)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c11,E),apply(c11,F)),A). [resolve(52,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | f2(C,A,B) = f1(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) | -empty(B). [resolve(52,c,27,b)].
% 0.48/1.03 53 -relation(A) | -relation(B) | -function(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | ordered_pair(f4(B,A,c1),f5(B,A,c1)) = f2(B,A,c1) | -in(C,f8(B,A,c1)) | in(ordered_pair(apply(c1,f10(B,A,c1,C)),apply(c1,f11(B,A,c1,C))),A). [resolve(53,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | ordered_pair(f4(B,A,c3),f5(B,A,c3)) = f2(B,A,c3) | -in(C,f8(B,A,c3)) | in(ordered_pair(apply(c3,f10(B,A,c3,C)),apply(c3,f11(B,A,c3,C))),A). [resolve(53,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | ordered_pair(f4(B,A,c5),f5(B,A,c5)) = f2(B,A,c5) | -in(C,f8(B,A,c5)) | in(ordered_pair(apply(c5,f10(B,A,c5,C)),apply(c5,f11(B,A,c5,C))),A). [resolve(53,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | ordered_pair(f4(B,A,c8),f5(B,A,c8)) = f2(B,A,c8) | -in(C,f8(B,A,c8)) | in(ordered_pair(apply(c8,f10(B,A,c8,C)),apply(c8,f11(B,A,c8,C))),A). [resolve(53,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | ordered_pair(f4(B,A,c11),f5(B,A,c11)) = f2(B,A,c11) | -in(C,f8(B,A,c11)) | in(ordered_pair(apply(c11,f10(B,A,c11,C)),apply(c11,f11(B,A,c11,C))),A). [resolve(53,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) | -empty(B). [resolve(53,c,27,b)].
% 0.48/1.03 54 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) = f1(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) = f1(B,A,c1) | in(C,f8(B,A,c1)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c1,E),apply(c1,F)),A). [resolve(54,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) = f1(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c3,E),apply(c3,F)),A). [resolve(54,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) = f1(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c5,E),apply(c5,F)),A). [resolve(54,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) = f1(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c8,E),apply(c8,F)),A). [resolve(54,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) = f1(B,A,c11) | in(C,f8(B,A,c11)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c11,E),apply(c11,F)),A). [resolve(54,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | f3(C,A,B) = f1(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) | -empty(B). [resolve(54,c,27,b)].
% 0.48/1.03 55 -relation(A) | -relation(B) | -function(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | ordered_pair(f6(B,A,c1),f7(B,A,c1)) = f3(B,A,c1) | -in(C,f8(B,A,c1)) | in(ordered_pair(apply(c1,f10(B,A,c1,C)),apply(c1,f11(B,A,c1,C))),A). [resolve(55,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | ordered_pair(f6(B,A,c3),f7(B,A,c3)) = f3(B,A,c3) | -in(C,f8(B,A,c3)) | in(ordered_pair(apply(c3,f10(B,A,c3,C)),apply(c3,f11(B,A,c3,C))),A). [resolve(55,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | ordered_pair(f6(B,A,c5),f7(B,A,c5)) = f3(B,A,c5) | -in(C,f8(B,A,c5)) | in(ordered_pair(apply(c5,f10(B,A,c5,C)),apply(c5,f11(B,A,c5,C))),A). [resolve(55,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | ordered_pair(f6(B,A,c8),f7(B,A,c8)) = f3(B,A,c8) | -in(C,f8(B,A,c8)) | in(ordered_pair(apply(c8,f10(B,A,c8,C)),apply(c8,f11(B,A,c8,C))),A). [resolve(55,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | ordered_pair(f6(B,A,c11),f7(B,A,c11)) = f3(B,A,c11) | -in(C,f8(B,A,c11)) | in(ordered_pair(apply(c11,f10(B,A,c11,C)),apply(c11,f11(B,A,c11,C))),A). [resolve(55,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) | -empty(B). [resolve(55,c,27,b)].
% 0.48/1.03 56 -relation(A) | -relation(B) | -function(B) | f3(C,A,B) != f2(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | f3(B,A,c1) != f2(B,A,c1) | in(C,f8(B,A,c1)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c1,E),apply(c1,F)),A). [resolve(56,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | f3(B,A,c3) != f2(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c3,E),apply(c3,F)),A). [resolve(56,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | f3(B,A,c5) != f2(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c5,E),apply(c5,F)),A). [resolve(56,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | f3(B,A,c8) != f2(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c8,E),apply(c8,F)),A). [resolve(56,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | f3(B,A,c11) != f2(B,A,c11) | in(C,f8(B,A,c11)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c11,E),apply(c11,F)),A). [resolve(56,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | f3(C,A,B) != f2(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) | -empty(B). [resolve(56,c,27,b)].
% 0.48/1.03 57 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.03 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f4(B,A,c1)),apply(c1,f5(B,A,c1))),A) | -in(C,f8(B,A,c1)) | in(ordered_pair(apply(c1,f10(B,A,c1,C)),apply(c1,f11(B,A,c1,C))),A). [resolve(57,c,22,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f4(B,A,c3)),apply(c3,f5(B,A,c3))),A) | -in(C,f8(B,A,c3)) | in(ordered_pair(apply(c3,f10(B,A,c3,C)),apply(c3,f11(B,A,c3,C))),A). [resolve(57,c,23,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f4(B,A,c5)),apply(c5,f5(B,A,c5))),A) | -in(C,f8(B,A,c5)) | in(ordered_pair(apply(c5,f10(B,A,c5,C)),apply(c5,f11(B,A,c5,C))),A). [resolve(57,c,24,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f4(B,A,c8)),apply(c8,f5(B,A,c8))),A) | -in(C,f8(B,A,c8)) | in(ordered_pair(apply(c8,f10(B,A,c8,C)),apply(c8,f11(B,A,c8,C))),A). [resolve(57,c,25,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f4(B,A,c11)),apply(c11,f5(B,A,c11))),A) | -in(C,f8(B,A,c11)) | in(ordered_pair(apply(c11,f10(B,A,c11,C)),apply(c11,f11(B,A,c11,C))),A). [resolve(57,c,26,a)].
% 0.48/1.03 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) | -empty(B). [resolve(57,c,27,b)].
% 0.48/1.04 58 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.04 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f6(B,A,c1)),apply(c1,f7(B,A,c1))),A) | -in(C,f8(B,A,c1)) | in(ordered_pair(apply(c1,f10(B,A,c1,C)),apply(c1,f11(B,A,c1,C))),A). [resolve(58,c,22,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f6(B,A,c3)),apply(c3,f7(B,A,c3))),A) | -in(C,f8(B,A,c3)) | in(ordered_pair(apply(c3,f10(B,A,c3,C)),apply(c3,f11(B,A,c3,C))),A). [resolve(58,c,23,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f6(B,A,c5)),apply(c5,f7(B,A,c5))),A) | -in(C,f8(B,A,c5)) | in(ordered_pair(apply(c5,f10(B,A,c5,C)),apply(c5,f11(B,A,c5,C))),A). [resolve(58,c,24,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f6(B,A,c8)),apply(c8,f7(B,A,c8))),A) | -in(C,f8(B,A,c8)) | in(ordered_pair(apply(c8,f10(B,A,c8,C)),apply(c8,f11(B,A,c8,C))),A). [resolve(58,c,25,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f6(B,A,c11)),apply(c11,f7(B,A,c11))),A) | -in(C,f8(B,A,c11)) | in(ordered_pair(apply(c11,f10(B,A,c11,C)),apply(c11,f11(B,A,c11,C))),A). [resolve(58,c,26,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | -in(D,f8(C,A,B)) | in(ordered_pair(apply(B,f10(C,A,B,D)),apply(B,f11(C,A,B,D))),A) | -empty(B). [resolve(58,c,27,b)].
% 0.48/1.04 59 -relation(A) | -relation(B) | -function(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.04 Derived: -relation(A) | -relation(c1) | ordered_pair(f4(B,A,c1),f5(B,A,c1)) = f2(B,A,c1) | in(C,f8(B,A,c1)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c1,E),apply(c1,F)),A). [resolve(59,c,22,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c3) | ordered_pair(f4(B,A,c3),f5(B,A,c3)) = f2(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c3,E),apply(c3,F)),A). [resolve(59,c,23,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c5) | ordered_pair(f4(B,A,c5),f5(B,A,c5)) = f2(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c5,E),apply(c5,F)),A). [resolve(59,c,24,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c8) | ordered_pair(f4(B,A,c8),f5(B,A,c8)) = f2(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c8,E),apply(c8,F)),A). [resolve(59,c,25,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c11) | ordered_pair(f4(B,A,c11),f5(B,A,c11)) = f2(B,A,c11) | in(C,f8(B,A,c11)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c11,E),apply(c11,F)),A). [resolve(59,c,26,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(B) | ordered_pair(f4(C,A,B),f5(C,A,B)) = f2(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) | -empty(B). [resolve(59,c,27,b)].
% 0.48/1.04 60 -relation(A) | -relation(B) | -function(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.04 Derived: -relation(A) | -relation(c1) | ordered_pair(f6(B,A,c1),f7(B,A,c1)) = f3(B,A,c1) | in(C,f8(B,A,c1)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c1,E),apply(c1,F)),A). [resolve(60,c,22,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c3) | ordered_pair(f6(B,A,c3),f7(B,A,c3)) = f3(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c3,E),apply(c3,F)),A). [resolve(60,c,23,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c5) | ordered_pair(f6(B,A,c5),f7(B,A,c5)) = f3(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c5,E),apply(c5,F)),A). [resolve(60,c,24,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c8) | ordered_pair(f6(B,A,c8),f7(B,A,c8)) = f3(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c8,E),apply(c8,F)),A). [resolve(60,c,25,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c11) | ordered_pair(f6(B,A,c11),f7(B,A,c11)) = f3(B,A,c11) | in(C,f8(B,A,c11)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c11,E),apply(c11,F)),A). [resolve(60,c,26,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(B) | ordered_pair(f6(C,A,B),f7(C,A,B)) = f3(C,A,B) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) | -empty(B). [resolve(60,c,27,b)].
% 0.48/1.04 61 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.04 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f4(B,A,c1)),apply(c1,f5(B,A,c1))),A) | in(C,f8(B,A,c1)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c1,E),apply(c1,F)),A). [resolve(61,c,22,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f4(B,A,c3)),apply(c3,f5(B,A,c3))),A) | in(C,f8(B,A,c3)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c3,E),apply(c3,F)),A). [resolve(61,c,23,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f4(B,A,c5)),apply(c5,f5(B,A,c5))),A) | in(C,f8(B,A,c5)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c5,E),apply(c5,F)),A). [resolve(61,c,24,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c8) | in(ordered_pair(apply(c8,f4(B,A,c8)),apply(c8,f5(B,A,c8))),A) | in(C,f8(B,A,c8)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c8,E),apply(c8,F)),A). [resolve(61,c,25,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c11) | in(ordered_pair(apply(c11,f4(B,A,c11)),apply(c11,f5(B,A,c11))),A) | in(C,f8(B,A,c11)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c11,E),apply(c11,F)),A). [resolve(61,c,26,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(B) | in(ordered_pair(apply(B,f4(C,A,B)),apply(B,f5(C,A,B))),A) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) | -empty(B). [resolve(61,c,27,b)].
% 0.48/1.04 62 -relation(A) | -relation(B) | -function(B) | in(ordered_pair(apply(B,f6(C,A,B)),apply(B,f7(C,A,B))),A) | in(D,f8(C,A,B)) | -in(E,cartesian_product2(C,C)) | E != D | ordered_pair(F,V6) != D | -in(ordered_pair(apply(B,F),apply(B,V6)),A) # label(s1_tarski__e6_21__wellord2__1) # label(axiom). [clausify(19)].
% 0.48/1.04 Derived: -relation(A) | -relation(c1) | in(ordered_pair(apply(c1,f6(B,A,c1)),apply(c1,f7(B,A,c1))),A) | in(C,f8(B,A,c1)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c1,E),apply(c1,F)),A). [resolve(62,c,22,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c3) | in(ordered_pair(apply(c3,f6(B,A,c3)),apply(c3,f7(B,A,c3))),A) | in(C,f8(B,A,c3)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c3,E),apply(c3,F)),A). [resolve(62,c,23,a)].
% 0.48/1.04 Derived: -relation(A) | -relation(c5) | in(ordered_pair(apply(c5,f6(B,A,c5)),apply(c5,f7(B,A,c5))),A) | in(C,f8(B,A,c5)) | -in(D,cartesian_product2(B,B)) | D != C | ordered_pair(E,F) != C | -in(ordered_pair(apply(c5,E),apply(c5,F)),A). [resolve(62,c,24,a)].
% 0.48/1.04 Derived: -relation(A) | -relatCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------