TSTP Solution File: LAT345+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT345+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n010.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 : Sun Jul 17 06:27:55 EDT 2022
% Result : Timeout 300.02s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT345+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 07:20:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.07 ============================== Prover9 ===============================
% 0.43/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.07 Process 4717 was started by sandbox on n010.cluster.edu,
% 0.43/1.07 Wed Jun 29 07:20:05 2022
% 0.43/1.07 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4564_n010.cluster.edu".
% 0.43/1.07 ============================== end of head ===========================
% 0.43/1.07
% 0.43/1.07 ============================== INPUT =================================
% 0.43/1.07
% 0.43/1.07 % Reading from file /tmp/Prover9_4564_n010.cluster.edu
% 0.43/1.07
% 0.43/1.07 set(prolog_style_variables).
% 0.43/1.07 set(auto2).
% 0.43/1.07 % set(auto2) -> set(auto).
% 0.43/1.07 % set(auto) -> set(auto_inference).
% 0.43/1.07 % set(auto) -> set(auto_setup).
% 0.43/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.07 % set(auto) -> set(auto_limits).
% 0.43/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.07 % set(auto) -> set(auto_denials).
% 0.43/1.07 % set(auto) -> set(auto_process).
% 0.43/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.07 % set(auto2) -> assign(stats, some).
% 0.43/1.07 % set(auto2) -> clear(echo_input).
% 0.43/1.07 % set(auto2) -> set(quiet).
% 0.43/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.07 % set(auto2) -> clear(print_given).
% 0.43/1.07 assign(lrs_ticks,-1).
% 0.43/1.07 assign(sos_limit,10000).
% 0.43/1.07 assign(order,kbo).
% 0.43/1.07 set(lex_order_vars).
% 0.43/1.07 clear(print_given).
% 0.43/1.07
% 0.43/1.07 % formulas(sos). % not echoed (69 formulas)
% 0.43/1.07
% 0.43/1.07 ============================== end of input ==========================
% 0.43/1.07
% 0.43/1.07 % From the command line: assign(max_seconds, 300).
% 0.43/1.07
% 0.43/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.07
% 0.43/1.07 % Formulas that are not ordinary clauses:
% 0.43/1.07 1 (all A (l2_conlat_1(A) -> (v4_conlat_1(A) -> A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))))) # label(abstractness_v4_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 2 (all A all B (l1_conlat_1(A) & l3_conlat_1(B,A) -> (v6_conlat_1(B,A) -> B = g3_conlat_1(A,u4_conlat_1(A,B),u5_conlat_1(A,B))))) # label(abstractness_v6_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 3 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 4 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 5 (all A (v3_conlat_1(A) & l1_conlat_1(A) -> (all B (l3_conlat_1(B,A) -> v8_conlat_1(B,A))))) # label(cc2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 6 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))))) # label(d7_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 7 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> (all B (l3_conlat_1(B,A) -> (all C (v6_conlat_1(C,k7_conlat_2(A)) & l3_conlat_1(C,k7_conlat_2(A)) -> (C = k8_conlat_2(A,B) <-> u4_conlat_1(k7_conlat_2(A),C) = u5_conlat_1(A,B) & u5_conlat_1(k7_conlat_2(A),C) = u4_conlat_1(A,B)))))))) # label(d8_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 8 (all A all B all C (m1_relset_1(C,A,B) -> v4_conlat_1(g2_conlat_1(A,B,C)) & l2_conlat_1(g2_conlat_1(A,B,C)))) # label(dt_g2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 9 (all A all B all C (l1_conlat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) & m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) -> v6_conlat_1(g3_conlat_1(A,B,C),A) & l3_conlat_1(g3_conlat_1(A,B,C),A))) # label(dt_g3_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 10 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 11 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 12 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 13 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 14 (all A all B all C (m1_relset_1(C,A,B) -> m2_relset_1(k6_relset_1(A,B,C),B,A))) # label(dt_k6_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 15 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_conlat_1(k7_conlat_2(A)) & v4_conlat_1(k7_conlat_2(A)) & l2_conlat_1(k7_conlat_2(A)))) # label(dt_k7_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 16 (all A all B (-v3_conlat_1(A) & l2_conlat_1(A) & l3_conlat_1(B,A) -> v6_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)) & l3_conlat_1(k8_conlat_2(A,B),k7_conlat_2(A)))) # label(dt_k8_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 17 (all A all B (-v3_conlat_1(A) & l2_conlat_1(A) & -v7_conlat_1(B,A) & v9_conlat_1(B,A) & l3_conlat_1(B,A) -> v6_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A)) & -v7_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A)) & v9_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A)) & l3_conlat_1(k9_conlat_2(A,B),k7_conlat_2(A)))) # label(dt_k9_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 18 $T # label(dt_l1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 19 (all A (l2_conlat_1(A) -> l1_conlat_1(A))) # label(dt_l2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 20 $T # label(dt_l3_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 21 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 22 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 23 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 24 $T # label(dt_u1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 25 $T # label(dt_u2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 26 (all A (l2_conlat_1(A) -> m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)))) # label(dt_u3_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 27 (all A all B (l1_conlat_1(A) & l3_conlat_1(B,A) -> m1_subset_1(u4_conlat_1(A,B),k1_zfmisc_1(u1_conlat_1(A))))) # label(dt_u4_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 28 (all A all B (l1_conlat_1(A) & l3_conlat_1(B,A) -> m1_subset_1(u5_conlat_1(A,B),k1_zfmisc_1(u2_conlat_1(A))))) # label(dt_u5_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 29 (exists A l1_conlat_1(A)) # label(existence_l1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 30 (exists A l2_conlat_1(A)) # label(existence_l2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 31 (all A (l1_conlat_1(A) -> (exists B l3_conlat_1(B,A)))) # label(existence_l3_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 32 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 33 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 34 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 35 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> -v1_xboole_0(u2_conlat_1(A)))) # label(fc1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 36 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 37 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> -v1_xboole_0(u1_conlat_1(A)))) # label(fc2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 38 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 39 (all A all B all C (m1_relset_1(C,A,B) -> (all D all E all F (g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F) -> A = D & B = E & C = F)))) # label(free_g2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 40 (all A all B all C (l1_conlat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) & m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) -> (all D all E all F (g3_conlat_1(A,B,C) = g3_conlat_1(D,E,F) -> A = D & B = E & C = F)))) # label(free_g3_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 41 (all A (v1_relat_1(A) -> k4_relat_1(k4_relat_1(A)) = A)) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 42 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,k6_relset_1(A,B,C)) = C)) # label(involutiveness_k6_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 43 (all A (l1_conlat_1(A) -> (exists B (l3_conlat_1(B,A) & v6_conlat_1(B,A))))) # label(rc10_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 44 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> (exists B (l3_conlat_1(B,A) & v6_conlat_1(B,A) & -v7_conlat_1(B,A))))) # label(rc11_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 45 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> (exists B (l3_conlat_1(B,A) & v6_conlat_1(B,A) & v8_conlat_1(B,A))))) # label(rc12_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 46 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> (exists B (l3_conlat_1(B,A) & -v7_conlat_1(B,A) & v9_conlat_1(B,A))))) # label(rc13_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 47 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> (exists B (l3_conlat_1(B,A) & v6_conlat_1(B,A) & -v7_conlat_1(B,A) & v9_conlat_1(B,A))))) # label(rc14_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 48 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 49 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 50 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 51 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 52 (exists A (l2_conlat_1(A) & v4_conlat_1(A))) # label(rc5_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 53 (exists A (l2_conlat_1(A) & -v3_conlat_1(A) & v4_conlat_1(A))) # label(rc7_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 54 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) & -v1_xboole_0(B))))) # label(rc8_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 55 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(A))) & -v1_xboole_0(B))))) # label(rc9_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 56 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,C) = k4_relat_1(C))) # label(redefinition_k6_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 57 (all A all B (-v3_conlat_1(A) & l2_conlat_1(A) & -v7_conlat_1(B,A) & v9_conlat_1(B,A) & l3_conlat_1(B,A) -> k9_conlat_2(A,B) = k8_conlat_2(A,B))) # label(redefinition_k9_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 58 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 59 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 60 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 61 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 62 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 63 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 64 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 65 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 66 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 67 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 68 -(all A (-v3_conlat_1(A) & v4_conlat_1(A) & l2_conlat_1(A) -> (all B (v6_conlat_1(B,A) & -v7_conlat_1(B,A) & v9_conlat_1(B,A) & l3_conlat_1(B,A) -> k9_conlat_2(k7_conlat_2(A),k9_conlat_2(A,B)) = B)))) # label(t20_conlat_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/1.07
% 0.43/1.07 ============================== end of process non-clausal formulas ===
% 0.43/1.07
% 0.43/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.07
% 0.43/1.07 ============================== PREDICATE ELIMINATION =================
% 0.43/1.07 69 -l1_conlat_1(A) | l3_conlat_1(f1(A),A) # label(existence_l3_conlat_1) # label(axiom). [clausify(31)].
% 0.43/1.07 70 l1_conlat_1(c1) # label(existence_l1_conlat_1) # label(axiom). [clausify(29)].
% 0.43/1.07 71 -l2_conlat_1(A) | l1_conlat_1(A) # label(dt_l2_conlat_1) # label(axiom). [clausify(19)].
% 0.43/1.07 Derived: l3_conlat_1(f1(c1),c1). [resolve(69,a,70,a)].
% 0.43/1.07 Derived: l3_conlat_1(f1(A),A) | -l2_conlat_1(A). [resolve(69,a,71,b)].
% 0.43/1.07 72 -l1_conlat_1(A) | l3_conlat_1(f5(A),A) # label(rc10_conlat_1) # label(axiom). [clausify(43)].
% 0.43/1.07 Derived: l3_conlat_1(f5(c1),c1). [resolve(72,a,70,a)].
% 0.43/1.07 Derived: l3_conlat_1(f5(A),A) | -l2_conlat_1(A). [resolve(72,a,71,b)].
% 0.43/1.07 73 -l1_conlat_1(A) | v6_conlat_1(f5(A),A) # label(rc10_conlat_1) # label(axiom). [clausify(43)].
% 0.43/1.07 Derived: v6_conlat_1(f5(c1),c1). [resolve(73,a,70,a)].
% 0.43/1.07 Derived: v6_conlat_1(f5(A),A) | -l2_conlat_1(A). [resolve(73,a,71,b)].
% 0.43/1.07 74 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(u2_conlat_1(A)) # label(fc1_conlat_1) # label(axiom). [clausify(35)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | -v1_xboole_0(u2_conlat_1(c1)). [resolve(74,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | -v1_xboole_0(u2_conlat_1(A)) | -l2_conlat_1(A). [resolve(74,b,71,b)].
% 0.43/1.07 75 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(u1_conlat_1(A)) # label(fc2_conlat_1) # label(axiom). [clausify(37)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | -v1_xboole_0(u1_conlat_1(c1)). [resolve(75,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | -v1_xboole_0(u1_conlat_1(A)) | -l2_conlat_1(A). [resolve(75,b,71,b)].
% 0.43/1.07 76 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(f12(A)) # label(rc8_conlat_1) # label(axiom). [clausify(54)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | -v1_xboole_0(f12(c1)). [resolve(76,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | -v1_xboole_0(f12(A)) | -l2_conlat_1(A). [resolve(76,b,71,b)].
% 0.43/1.07 77 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(f13(A)) # label(rc9_conlat_1) # label(axiom). [clausify(55)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | -v1_xboole_0(f13(c1)). [resolve(77,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | -v1_xboole_0(f13(A)) | -l2_conlat_1(A). [resolve(77,b,71,b)].
% 0.43/1.07 78 v3_conlat_1(A) | -l1_conlat_1(A) | l3_conlat_1(f6(A),A) # label(rc11_conlat_1) # label(axiom). [clausify(44)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | l3_conlat_1(f6(c1),c1). [resolve(78,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | l3_conlat_1(f6(A),A) | -l2_conlat_1(A). [resolve(78,b,71,b)].
% 0.43/1.07 79 v3_conlat_1(A) | -l1_conlat_1(A) | v6_conlat_1(f6(A),A) # label(rc11_conlat_1) # label(axiom). [clausify(44)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | v6_conlat_1(f6(c1),c1). [resolve(79,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | v6_conlat_1(f6(A),A) | -l2_conlat_1(A). [resolve(79,b,71,b)].
% 0.43/1.07 80 v3_conlat_1(A) | -l1_conlat_1(A) | -v7_conlat_1(f6(A),A) # label(rc11_conlat_1) # label(axiom). [clausify(44)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | -v7_conlat_1(f6(c1),c1). [resolve(80,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | -v7_conlat_1(f6(A),A) | -l2_conlat_1(A). [resolve(80,b,71,b)].
% 0.43/1.07 81 v3_conlat_1(A) | -l1_conlat_1(A) | l3_conlat_1(f7(A),A) # label(rc12_conlat_1) # label(axiom). [clausify(45)].
% 0.43/1.07 Derived: v3_conlat_1(c1) | l3_conlat_1(f7(c1),c1). [resolve(81,b,70,a)].
% 0.43/1.07 Derived: v3_conlat_1(A) | l3_conlat_1(f7(A),A) | -l2_conlat_1(A). [resolve(81,b,71,b)].
% 0.43/1.07 82 v3_conlat_1(A) | -l1_conlat_1(A) | v6_conlat_1(f7(A),A) # label(rc12_conlat_1) # label(axiom). [clausify(45)].
% 0.43/1.08 Derived: v3_conlat_1(c1) | v6_conlat_1(f7(c1),c1). [resolve(82,b,70,a)].
% 0.43/1.08 Derived: v3_conlat_1(A) | v6_conlat_1(f7(A),A) | -l2_conlat_1(A). [resolve(82,b,71,b)].
% 0.43/1.08 83 v3_conlat_1(A) | -l1_conlat_1(A) | v8_conlat_1(f7(A),A) # label(rc12_conlat_1) # label(axiom). [clausify(45)].
% 0.43/1.08 Derived: v3_conlat_1(c1) | v8_conlat_1(f7(c1),c1). [resolve(83,b,70,a)].
% 0.43/1.08 Derived: v3_conlat_1(A) | v8_conlat_1(f7(A),A) | -l2_conlat_1(A). [resolve(83,b,71,b)].
% 0.43/1.08 84 -v3_conlat_1(A) | -l1_conlat_1(A) | -l3_conlat_1(B,A) | v8_conlat_1(B,A) # label(cc2_conlat_1) # label(axiom). [clausify(5)].
% 0.43/1.08 Derived: -v3_conlat_1(c1) | -l3_conlat_1(A,c1) | v8_conlat_1(A,c1). [resolve(84,b,70,a)].
% 0.43/1.08 Derived: -v3_conlat_1(A) | -l3_conlat_1(B,A) | v8_conlat_1(B,A) | -l2_conlat_1(A). [resolve(84,b,71,b)].
% 0.43/1.08 85 v3_conlat_1(A) | -l1_conlat_1(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_conlat_1(A))) # label(rc8_conlat_1) # label(axiom). [clausify(54)].
% 0.43/1.08 Derived: v3_conlat_1(c1) | m1_subset_1(f12(c1),k1_zfmisc_1(u1_conlat_1(c1))). [resolve(85,b,70,a)].
% 0.43/1.08 Derived: v3_conlat_1(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_conlat_1(A))) | -l2_conlat_1(A). [resolve(85,b,71,b)].
% 0.43/1.08 86 v3_conlat_1(A) | -l1_conlat_1(A) | m1_subset_1(f13(A),k1_zfmisc_1(u2_conlat_1(A))) # label(rc9_conlat_1) # label(axiom). [clausify(55)].
% 0.43/1.08 Derived: v3_conlat_1(c1) | m1_subset_1(f13(c1),k1_zfmisc_1(u2_conlat_1(c1))). [resolve(86,b,70,a)].
% 0.43/1.08 Derived: v3_conlat_1(A) | m1_subset_1(f13(A),k1_zfmisc_1(u2_conlat_1(A))) | -l2_conlat_1(A). [resolve(86,b,71,b)].
% 0.43/1.08 87 -l1_conlat_1(A) | -l3_conlat_1(B,A) | m1_subset_1(u4_conlat_1(A,B),k1_zfmisc_1(u1_conlat_1(A))) # label(dt_u4_conlat_1) # label(axiom). [clausify(27)].
% 0.43/1.08 Derived: -l3_conlat_1(A,c1) | m1_subset_1(u4_conlat_1(c1,A),k1_zfmisc_1(u1_conlat_1(c1))). [resolve(87,a,70,a)].
% 0.43/1.08 Derived: -l3_conlat_1(A,B) | m1_subset_1(u4_conlat_1(B,A),k1_zfmisc_1(u1_conlat_1(B))) | -l2_conlat_1(B). [resolve(87,a,71,b)].
% 0.43/1.08 88 -l1_conlat_1(A) | -l3_conlat_1(B,A) | m1_subset_1(u5_conlat_1(A,B),k1_zfmisc_1(u2_conlat_1(A))) # label(dt_u5_conlat_1) # label(axiom). [clausify(28)].
% 0.43/1.08 Derived: -l3_conlat_1(A,c1) | m1_subset_1(u5_conlat_1(c1,A),k1_zfmisc_1(u2_conlat_1(c1))). [resolve(88,a,70,a)].
% 0.43/1.08 Derived: -l3_conlat_1(A,B) | m1_subset_1(u5_conlat_1(B,A),k1_zfmisc_1(u2_conlat_1(B))) | -l2_conlat_1(B). [resolve(88,a,71,b)].
% 0.43/1.08 89 -l1_conlat_1(A) | -l3_conlat_1(B,A) | -v6_conlat_1(B,A) | g3_conlat_1(A,u4_conlat_1(A,B),u5_conlat_1(A,B)) = B # label(abstractness_v6_conlat_1) # label(axiom). [clausify(2)].
% 0.43/1.08 Derived: -l3_conlat_1(A,c1) | -v6_conlat_1(A,c1) | g3_conlat_1(c1,u4_conlat_1(c1,A),u5_conlat_1(c1,A)) = A. [resolve(89,a,70,a)].
% 0.43/1.08 Derived: -l3_conlat_1(A,B) | -v6_conlat_1(A,B) | g3_conlat_1(B,u4_conlat_1(B,A),u5_conlat_1(B,A)) = A | -l2_conlat_1(B). [resolve(89,a,71,b)].
% 0.43/1.08 90 -l1_conlat_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) | v6_conlat_1(g3_conlat_1(A,B,C),A) # label(dt_g3_conlat_1) # label(axiom). [clausify(9)].
% 0.43/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(c1))) | -m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(c1))) | v6_conlat_1(g3_conlat_1(c1,A,B),c1). [resolve(90,a,70,a)].
% 0.43/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(B))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(B))) | v6_conlat_1(g3_conlat_1(B,A,C),B) | -l2_conlat_1(B). [resolve(90,a,71,b)].
% 0.43/1.08 91 -l1_conlat_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) | l3_conlat_1(g3_conlat_1(A,B,C),A) # label(dt_g3_conlat_1) # label(axiom). [clausify(9)].
% 0.43/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(c1))) | -m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(c1))) | l3_conlat_1(g3_conlat_1(c1,A,B),c1). [resolve(91,a,70,a)].
% 0.43/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(B))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(B))) | l3_conlat_1(g3_conlat_1(B,A,C),B) | -l2_conlat_1(B). [resolve(91,a,71,b)].
% 0.43/1.08 92 -l1_conlat_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) | g3_conlat_1(D,E,F) != g3_conlat_1(A,B,C) | D = A # label(free_g3_conlat_1) # label(axiom). [clausify(40)].
% 0.84/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(c1))) | -m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(c1))) | g3_conlat_1(C,D,E) != g3_conlat_1(c1,A,B) | C = c1. [resolve(92,a,70,a)].
% 0.84/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(B))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(B))) | g3_conlat_1(D,E,F) != g3_conlat_1(B,A,C) | D = B | -l2_conlat_1(B). [resolve(92,a,71,b)].
% 0.84/1.08 93 -l1_conlat_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) | g3_conlat_1(D,E,F) != g3_conlat_1(A,B,C) | E = B # label(free_g3_conlat_1) # label(axiom). [clausify(40)].
% 0.84/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(c1))) | -m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(c1))) | g3_conlat_1(C,D,E) != g3_conlat_1(c1,A,B) | D = A. [resolve(93,a,70,a)].
% 0.84/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(B))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(B))) | g3_conlat_1(D,E,F) != g3_conlat_1(B,A,C) | E = A | -l2_conlat_1(B). [resolve(93,a,71,b)].
% 0.84/1.08 94 -l1_conlat_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(A))) | g3_conlat_1(D,E,F) != g3_conlat_1(A,B,C) | F = C # label(free_g3_conlat_1) # label(axiom). [clausify(40)].
% 0.84/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(c1))) | -m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(c1))) | g3_conlat_1(C,D,E) != g3_conlat_1(c1,A,B) | E = B. [resolve(94,a,70,a)].
% 0.84/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(u1_conlat_1(B))) | -m1_subset_1(C,k1_zfmisc_1(u2_conlat_1(B))) | g3_conlat_1(D,E,F) != g3_conlat_1(B,A,C) | F = C | -l2_conlat_1(B). [resolve(94,a,71,b)].
% 0.84/1.08 95 -l2_conlat_1(A) | -v4_conlat_1(A) | g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) = A # label(abstractness_v4_conlat_1) # label(axiom). [clausify(1)].
% 0.84/1.08 96 v4_conlat_1(c5) # label(rc5_conlat_1) # label(axiom). [clausify(52)].
% 0.84/1.08 97 v4_conlat_1(c6) # label(rc7_conlat_1) # label(axiom). [clausify(53)].
% 0.84/1.08 98 v4_conlat_1(c7) # label(t20_conlat_2) # label(negated_conjecture). [clausify(68)].
% 0.84/1.08 99 v3_conlat_1(A) | -l2_conlat_1(A) | v4_conlat_1(k7_conlat_2(A)) # label(dt_k7_conlat_2) # label(axiom). [clausify(15)].
% 0.84/1.08 100 -m1_relset_1(A,B,C) | v4_conlat_1(g2_conlat_1(B,C,A)) # label(dt_g2_conlat_1) # label(axiom). [clausify(8)].
% 0.84/1.08 Derived: -l2_conlat_1(c5) | g2_conlat_1(u1_conlat_1(c5),u2_conlat_1(c5),u3_conlat_1(c5)) = c5. [resolve(95,b,96,a)].
% 0.84/1.08 Derived: -l2_conlat_1(c6) | g2_conlat_1(u1_conlat_1(c6),u2_conlat_1(c6),u3_conlat_1(c6)) = c6. [resolve(95,b,97,a)].
% 0.84/1.08 Derived: -l2_conlat_1(c7) | g2_conlat_1(u1_conlat_1(c7),u2_conlat_1(c7),u3_conlat_1(c7)) = c7. [resolve(95,b,98,a)].
% 0.84/1.08 Derived: -l2_conlat_1(k7_conlat_2(A)) | g2_conlat_1(u1_conlat_1(k7_conlat_2(A)),u2_conlat_1(k7_conlat_2(A)),u3_conlat_1(k7_conlat_2(A))) = k7_conlat_2(A) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(95,b,99,c)].
% 0.84/1.08 Derived: -l2_conlat_1(g2_conlat_1(A,B,C)) | g2_conlat_1(u1_conlat_1(g2_conlat_1(A,B,C)),u2_conlat_1(g2_conlat_1(A,B,C)),u3_conlat_1(g2_conlat_1(A,B,C))) = g2_conlat_1(A,B,C) | -m1_relset_1(C,A,B). [resolve(95,b,100,b)].
% 0.84/1.08 101 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(62)].
% 0.84/1.08 102 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(59)].
% 0.84/1.08 103 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(62)].
% 0.84/1.08 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(101,b,102,a)].
% 0.84/1.08 104 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(58)].
% 0.84/1.08 105 m1_relset_1(f2(A,B),A,B) # label(existence_m1_relset_1) # label(axiom). [clausify(32)].
% 0.84/1.08 106 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(58)].
% 0.84/1.08 Derived: m2_relset_1(f2(A,B),A,B). [resolve(104,b,105,a)].
% 0.84/1.08 107 -m1_relset_1(A,B,C) | l2_conlat_1(g2_conlat_1(B,C,A)) # label(dt_g2_conlat_1) # label(axiom). [clausify(8)].
% 0.84/1.08 Derived: l2_conlat_1(g2_conlat_1(A,B,f2(A,B))). [resolve(107,a,105,a)].
% 0.84/1.08 Derived: l2_conlat_1(g2_conlat_1(A,B,C)) | -m2_relset_1(C,A,B). [resolve(107,a,106,b)].
% 0.84/1.08 108 -m1_relset_1(A,B,C) | m2_relset_1(k6_relset_1(B,C,A),C,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------