TSTP Solution File: SEU357+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 13:31:14 EDT 2022
% Result : Theorem 0.78s 1.17s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 11:36:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.75/1.04 ============================== Prover9 ===============================
% 0.75/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.04 Process 17909 was started by sandbox on n019.cluster.edu,
% 0.75/1.04 Mon Jun 20 11:36:25 2022
% 0.75/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17756_n019.cluster.edu".
% 0.75/1.04 ============================== end of head ===========================
% 0.75/1.04
% 0.75/1.04 ============================== INPUT =================================
% 0.75/1.04
% 0.75/1.04 % Reading from file /tmp/Prover9_17756_n019.cluster.edu
% 0.75/1.04
% 0.75/1.04 set(prolog_style_variables).
% 0.75/1.04 set(auto2).
% 0.75/1.04 % set(auto2) -> set(auto).
% 0.75/1.04 % set(auto) -> set(auto_inference).
% 0.75/1.04 % set(auto) -> set(auto_setup).
% 0.75/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.04 % set(auto) -> set(auto_limits).
% 0.75/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.04 % set(auto) -> set(auto_denials).
% 0.75/1.04 % set(auto) -> set(auto_process).
% 0.75/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.04 % set(auto2) -> assign(stats, some).
% 0.75/1.04 % set(auto2) -> clear(echo_input).
% 0.75/1.04 % set(auto2) -> set(quiet).
% 0.75/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.04 % set(auto2) -> clear(print_given).
% 0.75/1.04 assign(lrs_ticks,-1).
% 0.75/1.04 assign(sos_limit,10000).
% 0.75/1.04 assign(order,kbo).
% 0.75/1.04 set(lex_order_vars).
% 0.75/1.04 clear(print_given).
% 0.75/1.04
% 0.75/1.04 % formulas(sos). % not echoed (10 formulas)
% 0.75/1.04
% 0.75/1.04 ============================== end of input ==========================
% 0.75/1.04
% 0.75/1.04 % From the command line: assign(max_seconds, 300).
% 0.75/1.04
% 0.75/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.04
% 0.75/1.04 % Formulas that are not ordinary clauses:
% 0.75/1.04 1 (all A (rel_str(A) -> (all B (ex_inf_of_relstr_set(A,B) <-> (exists C (element(C,the_carrier(A)) & relstr_element_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) -> related(A,D,C)))) & (all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) & (all E (element(E,the_carrier(A)) -> (relstr_element_smaller(A,B,E) -> related(A,E,D)))) -> D = C))))))))) # label(d8_yellow_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 2 (all A (rel_str(A) -> one_sorted_str(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 3 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 4 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 5 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 6 (exists A rel_str(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 7 (exists A one_sorted_str(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 8 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 9 (all A (antisymmetric_relstr(A) & rel_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (related(A,B,C) & related(A,C,B) -> B = C))))))) # label(t25_orders_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.04 10 -(all A (antisymmetric_relstr(A) & rel_str(A) -> (all B (ex_inf_of_relstr_set(A,B) <-> (exists C (element(C,the_carrier(A)) & relstr_element_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) -> related(A,D,C)))))))))) # label(t16_yellow_0) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.75/1.04
% 0.75/1.04 ============================== end of process non-clausal formulas ===
% 0.75/1.04
% 0.75/1.04 ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.04
% 0.75/1.04 ============================== PREDICATE ELIMINATION =================
% 0.75/1.04 11 -rel_str(A) | one_sorted_str(A) # label(dt_l1_orders_2) # label(axiom). [clausify(2)].
% 0.75/1.04 12 rel_str(c1) # label(existence_l1_orders_2) # label(axiom). [clausify(6)].
% 0.75/1.04 13 rel_str(c3) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.75/1.04 Derived: one_sorted_str(c1). [resolve(11,a,12,a)].
% 0.75/1.04 Derived: one_sorted_str(c3). [resolve(11,a,13,a)].
% 0.75/1.04 14 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | element(f1(A,B),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c1,A) | element(f1(c1,A),the_carrier(c1)). [resolve(14,a,12,a)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c3,A) | element(f1(c3,A),the_carrier(c3)). [resolve(14,a,13,a)].
% 0.75/1.04 15 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | relstr_element_smaller(A,B,f1(A,B)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c1,A) | relstr_element_smaller(c1,A,f1(c1,A)). [resolve(15,a,12,a)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c3,A) | relstr_element_smaller(c3,A,f1(c3,A)). [resolve(15,a,13,a)].
% 0.75/1.04 16 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | related(A,C,f1(A,B)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | related(c1,B,f1(c1,A)). [resolve(16,a,12,a)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | related(c3,B,f1(c3,A)). [resolve(16,a,13,a)].
% 0.75/1.04 17 -antisymmetric_relstr(A) | -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related(A,B,C) | -related(A,C,B) | C = B # label(t25_orders_2) # label(axiom). [clausify(9)].
% 0.75/1.04 Derived: -antisymmetric_relstr(c1) | -element(A,the_carrier(c1)) | -element(B,the_carrier(c1)) | -related(c1,A,B) | -related(c1,B,A) | B = A. [resolve(17,b,12,a)].
% 0.75/1.04 Derived: -antisymmetric_relstr(c3) | -element(A,the_carrier(c3)) | -element(B,the_carrier(c3)) | -related(c3,A,B) | -related(c3,B,A) | B = A. [resolve(17,b,13,a)].
% 0.75/1.04 18 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f2(A,B,C),the_carrier(A)) | C = f1(A,B) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | element(f2(c1,A,B),the_carrier(c1)) | B = f1(c1,A). [resolve(18,a,12,a)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f2(c3,A,B),the_carrier(c3)) | B = f1(c3,A). [resolve(18,a,13,a)].
% 0.75/1.04 19 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f2(A,B,C)) | C = f1(A,B) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | relstr_element_smaller(c1,A,f2(c1,A,B)) | B = f1(c1,A). [resolve(19,a,12,a)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f2(c3,A,B)) | B = f1(c3,A). [resolve(19,a,13,a)].
% 0.75/1.04 20 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f2(A,B,C),C) | C = f1(A,B) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | -related(c1,f2(c1,A,B),B) | B = f1(c1,A). [resolve(20,a,12,a)].
% 0.75/1.04 Derived: -ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f2(c3,A,B),B) | B = f1(c3,A). [resolve(20,a,13,a)].
% 0.75/1.04 21 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | f4(A,B,C) != C # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | element(f3(c1,A,B),the_carrier(c1)) | f4(c1,A,B) != B. [resolve(21,a,12,a)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | f4(c3,A,B) != B. [resolve(21,a,13,a)].
% 0.75/1.04 22 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | f4(A,B,C) != C # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | relstr_element_smaller(c1,A,f3(c1,A,B)) | f4(c1,A,B) != B. [resolve(22,a,12,a)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | f4(c3,A,B) != B. [resolve(22,a,13,a)].
% 0.75/1.04 23 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | f4(A,B,C) != C # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | -related(c1,f3(c1,A,B),B) | f4(c1,A,B) != B. [resolve(23,a,12,a)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | f4(c3,A,B) != B. [resolve(23,a,13,a)].
% 0.75/1.04 24 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | element(f4(A,B,C),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | element(f3(c1,A,B),the_carrier(c1)) | element(f4(c1,A,B),the_carrier(c1)). [resolve(24,a,12,a)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | element(f4(c3,A,B),the_carrier(c3)). [resolve(24,a,13,a)].
% 0.75/1.04 25 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | relstr_element_smaller(A,B,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | element(f3(c1,A,B),the_carrier(c1)) | relstr_element_smaller(c1,A,f4(c1,A,B)). [resolve(25,a,12,a)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | relstr_element_smaller(c3,A,f4(c3,A,B)). [resolve(25,a,13,a)].
% 0.75/1.04 26 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | element(f4(A,B,C),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | relstr_element_smaller(c1,A,f3(c1,A,B)) | element(f4(c1,A,B),the_carrier(c1)). [resolve(26,a,12,a)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | element(f4(c3,A,B),the_carrier(c3)). [resolve(26,a,13,a)].
% 0.75/1.04 27 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | relstr_element_smaller(A,B,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | relstr_element_smaller(c1,A,f3(c1,A,B)) | relstr_element_smaller(c1,A,f4(c1,A,B)). [resolve(27,a,12,a)].
% 0.75/1.04 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | relstr_element_smaller(c3,A,f4(c3,A,B)). [resolve(27,a,13,a)].
% 0.75/1.04 28 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | element(f4(A,B,C),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | -related(c1,f3(c1,A,B),B) | element(f4(c1,A,B),the_carrier(c1)). [resolve(28,a,12,a)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | element(f4(c3,A,B),the_carrier(c3)). [resolve(28,a,13,a)].
% 0.78/1.17 29 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | relstr_element_smaller(A,B,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | -related(c1,f3(c1,A,B),B) | relstr_element_smaller(c1,A,f4(c1,A,B)). [resolve(29,a,12,a)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | relstr_element_smaller(c3,A,f4(c3,A,B)). [resolve(29,a,13,a)].
% 0.78/1.17 30 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | element(f3(c1,A,B),the_carrier(c1)) | -element(C,the_carrier(c1)) | -relstr_element_smaller(c1,A,C) | related(c1,C,f4(c1,A,B)). [resolve(30,a,12,a)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | -element(C,the_carrier(c3)) | -relstr_element_smaller(c3,A,C) | related(c3,C,f4(c3,A,B)). [resolve(30,a,13,a)].
% 0.78/1.17 31 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | relstr_element_smaller(c1,A,f3(c1,A,B)) | -element(C,the_carrier(c1)) | -relstr_element_smaller(c1,A,C) | related(c1,C,f4(c1,A,B)). [resolve(31,a,12,a)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | -element(C,the_carrier(c3)) | -relstr_element_smaller(c3,A,C) | related(c3,C,f4(c3,A,B)). [resolve(31,a,13,a)].
% 0.78/1.17 32 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c1,A) | -element(B,the_carrier(c1)) | -relstr_element_smaller(c1,A,B) | -related(c1,f3(c1,A,B),B) | -element(C,the_carrier(c1)) | -relstr_element_smaller(c1,A,C) | related(c1,C,f4(c1,A,B)). [resolve(32,a,12,a)].
% 0.78/1.17 Derived: ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | -element(C,the_carrier(c3)) | -relstr_element_smaller(c3,A,C) | related(c3,C,f4(c3,A,B)). [resolve(32,a,13,a)].
% 0.78/1.17
% 0.78/1.17 ============================== end predicate elimination =============
% 0.78/1.17
% 0.78/1.17 Auto_denials: (non-Horn, no changes).
% 0.78/1.17
% 0.78/1.17 Term ordering decisions:
% 0.78/1.17 Function symbol KB weights: c1=1. c3=1. c4=1. c5=1. f1=1. the_carrier=1. f5=1. f6=1. f2=1. f3=1. f4=1.
% 0.78/1.17
% 0.78/1.17 ============================== end of process initial clauses ========
% 0.78/1.17
% 0.78/1.17 ============================== CLAUSES FOR SEARCH ====================
% 0.78/1.17
% 0.78/1.17 ============================== end of clauses for search =============
% 0.78/1.17
% 0.78/1.17 ============================== SEARCH ================================
% 0.78/1.17
% 0.78/1.17 % Starting search at 0.02 seconds.
% 0.78/1.17
% 0.78/1.17 ============================== PROOF =================================
% 0.78/1.17 % SZS status Theorem
% 0.78/1.17 % SZS output start Refutation
% 0.78/1.17
% 0.78/1.17 % Proof 1 at 0.14 (+ 0.00) seconds.
% 0.78/1.17 % Length of proof is 240.
% 0.78/1.17 % Level of proof is 145.
% 0.78/1.17 % Maximum clause weight is 39.000.
% 0.78/1.17 % Given clauses 385.
% 0.78/1.17
% 0.78/1.17 1 (all A (rel_str(A) -> (all B (ex_inf_of_relstr_set(A,B) <-> (exists C (element(C,the_carrier(A)) & relstr_element_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) -> related(A,D,C)))) & (all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) & (all E (element(E,the_carrier(A)) -> (relstr_element_smaller(A,B,E) -> related(A,E,D)))) -> D = C))))))))) # label(d8_yellow_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.17 9 (all A (antisymmetric_relstr(A) & rel_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (element(C,the_carrier(A)) -> (related(A,B,C) & related(A,C,B) -> B = C))))))) # label(t25_orders_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.17 10 -(all A (antisymmetric_relstr(A) & rel_str(A) -> (all B (ex_inf_of_relstr_set(A,B) <-> (exists C (element(C,the_carrier(A)) & relstr_element_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (relstr_element_smaller(A,B,D) -> related(A,D,C)))))))))) # label(t16_yellow_0) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.78/1.17 13 rel_str(c3) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 14 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | element(f1(A,B),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 15 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | relstr_element_smaller(A,B,f1(A,B)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 16 -rel_str(A) | -ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | related(A,C,f1(A,B)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 17 -antisymmetric_relstr(A) | -rel_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -related(A,B,C) | -related(A,C,B) | C = B # label(t25_orders_2) # label(axiom). [clausify(9)].
% 0.78/1.17 21 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | f4(A,B,C) != C # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 22 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | f4(A,B,C) != C # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 23 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | f4(A,B,C) != C # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 24 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | element(f4(A,B,C),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 25 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | relstr_element_smaller(A,B,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 26 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | element(f4(A,B,C),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 27 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | relstr_element_smaller(A,B,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 28 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | element(f4(A,B,C),the_carrier(A)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 29 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | relstr_element_smaller(A,B,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 30 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | element(f3(A,B,C),the_carrier(A)) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 31 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | relstr_element_smaller(A,B,f3(A,B,C)) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 32 -rel_str(A) | ex_inf_of_relstr_set(A,B) | -element(C,the_carrier(A)) | -relstr_element_smaller(A,B,C) | -related(A,f3(A,B,C),C) | -element(D,the_carrier(A)) | -relstr_element_smaller(A,B,D) | related(A,D,f4(A,B,C)) # label(d8_yellow_0) # label(axiom). [clausify(1)].
% 0.78/1.17 33 antisymmetric_relstr(c3) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 35 ex_inf_of_relstr_set(c3,c4) | element(c5,the_carrier(c3)) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 36 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,c5) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 37 -ex_inf_of_relstr_set(c3,c4) | -element(A,the_carrier(c3)) | -relstr_element_smaller(c3,c4,A) | -related(c3,f6(A),A) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 38 ex_inf_of_relstr_set(c3,c4) | -element(A,the_carrier(c3)) | -relstr_element_smaller(c3,c4,A) | related(c3,A,c5) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 39 -ex_inf_of_relstr_set(c3,c4) | -element(A,the_carrier(c3)) | -relstr_element_smaller(c3,c4,A) | element(f6(A),the_carrier(c3)) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 40 -ex_inf_of_relstr_set(c3,c4) | -element(A,the_carrier(c3)) | -relstr_element_smaller(c3,c4,A) | relstr_element_smaller(c3,c4,f6(A)) # label(t16_yellow_0) # label(negated_conjecture). [clausify(10)].
% 0.78/1.17 42 -ex_inf_of_relstr_set(c3,A) | element(f1(c3,A),the_carrier(c3)). [resolve(14,a,13,a)].
% 0.78/1.17 44 -ex_inf_of_relstr_set(c3,A) | relstr_element_smaller(c3,A,f1(c3,A)). [resolve(15,a,13,a)].
% 0.78/1.17 46 -ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | related(c3,B,f1(c3,A)). [resolve(16,a,13,a)].
% 0.78/1.17 48 -antisymmetric_relstr(c3) | -element(A,the_carrier(c3)) | -element(B,the_carrier(c3)) | -related(c3,A,B) | -related(c3,B,A) | B = A. [resolve(17,b,13,a)].
% 0.78/1.17 49 -element(A,the_carrier(c3)) | -element(B,the_carrier(c3)) | -related(c3,A,B) | -related(c3,B,A) | B = A. [copy(48),unit_del(a,33)].
% 0.78/1.17 63 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | f4(c3,A,B) != B. [resolve(21,a,13,a)].
% 0.78/1.17 65 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | f4(c3,A,B) != B. [resolve(22,a,13,a)].
% 0.78/1.17 67 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | f4(c3,A,B) != B. [resolve(23,a,13,a)].
% 0.78/1.17 69 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | element(f4(c3,A,B),the_carrier(c3)). [resolve(24,a,13,a)].
% 0.78/1.17 71 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | relstr_element_smaller(c3,A,f4(c3,A,B)). [resolve(25,a,13,a)].
% 0.78/1.17 73 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | element(f4(c3,A,B),the_carrier(c3)). [resolve(26,a,13,a)].
% 0.78/1.17 75 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | relstr_element_smaller(c3,A,f4(c3,A,B)). [resolve(27,a,13,a)].
% 0.78/1.17 77 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | element(f4(c3,A,B),the_carrier(c3)). [resolve(28,a,13,a)].
% 0.78/1.17 79 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | relstr_element_smaller(c3,A,f4(c3,A,B)). [resolve(29,a,13,a)].
% 0.78/1.17 81 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | -element(C,the_carrier(c3)) | -relstr_element_smaller(c3,A,C) | related(c3,C,f4(c3,A,B)). [resolve(30,a,13,a)].
% 0.78/1.17 83 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | -element(C,the_carrier(c3)) | -relstr_element_smaller(c3,A,C) | related(c3,C,f4(c3,A,B)). [resolve(31,a,13,a)].
% 0.78/1.17 85 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | -element(C,the_carrier(c3)) | -relstr_element_smaller(c3,A,C) | related(c3,C,f4(c3,A,B)). [resolve(32,a,13,a)].
% 0.78/1.17 87 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | element(f3(c3,A,B),the_carrier(c3)) | related(c3,B,f4(c3,A,B)). [factor(81,b,e),merge(e)].
% 0.78/1.17 89 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | relstr_element_smaller(c3,A,f3(c3,A,B)) | related(c3,B,f4(c3,A,B)). [factor(83,b,e),merge(e)].
% 0.78/1.17 91 ex_inf_of_relstr_set(c3,A) | -element(B,the_carrier(c3)) | -relstr_element_smaller(c3,A,B) | -related(c3,f3(c3,A,B),B) | related(c3,B,f4(c3,A,B)). [factor(85,b,e),merge(e)].
% 0.78/1.17 93 element(f1(c3,c4),the_carrier(c3)) | element(c5,the_carrier(c3)). [resolve(42,a,35,a)].
% 0.78/1.17 94 relstr_element_smaller(c3,c4,f1(c3,c4)) | element(c5,the_carrier(c3)). [resolve(44,a,35,a)].
% 0.78/1.17 97 ex_inf_of_relstr_set(c3,c4) | -element(c5,the_carrier(c3)) | element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(69,c,36,b),merge(e)].
% 0.78/1.17 98 ex_inf_of_relstr_set(c3,c4) | -element(c5,the_carrier(c3)) | element(f3(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(71,c,36,b),merge(e)].
% 0.78/1.17 99 ex_inf_of_relstr_set(c3,c4) | -element(c5,the_carrier(c3)) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(73,c,36,b),merge(e)].
% 0.78/1.17 100 ex_inf_of_relstr_set(c3,c4) | -element(c5,the_carrier(c3)) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(75,c,36,b),merge(e)].
% 0.78/1.17 105 ex_inf_of_relstr_set(c3,c4) | -element(c5,the_carrier(c3)) | element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,c5,f4(c3,c4,c5)). [resolve(87,c,36,b),merge(e)].
% 0.78/1.17 106 ex_inf_of_relstr_set(c3,c4) | -element(c5,the_carrier(c3)) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | related(c3,c5,f4(c3,c4,c5)). [resolve(89,c,36,b),merge(e)].
% 0.78/1.17 108 element(c5,the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(94,a,40,c)].
% 0.78/1.17 109 element(c5,the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(94,a,39,c)].
% 0.78/1.17 110 element(c5,the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(108,b,35,a),merge(d)].
% 0.78/1.17 111 element(c5,the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(110,b,93,a),merge(c)].
% 0.78/1.17 114 element(c5,the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(111,b,46,c)].
% 0.78/1.17 117 element(c5,the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(109,b,35,a),merge(d)].
% 0.78/1.17 118 element(c5,the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(117,b,93,a),merge(c)].
% 0.78/1.17 130 element(c5,the_carrier(c3)) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(114,b,35,a),merge(d)].
% 0.78/1.17 131 element(c5,the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(130,b,118,b),merge(c)].
% 0.78/1.17 133 element(c5,the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | -relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(131,b,37,d)].
% 0.78/1.17 134 element(c5,the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(133,d,94,a),merge(d)].
% 0.78/1.17 135 element(c5,the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)). [resolve(134,b,35,a),merge(c)].
% 0.78/1.17 137 element(c5,the_carrier(c3)). [resolve(135,b,93,a),merge(b)].
% 0.78/1.17 138 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | related(c3,c5,f4(c3,c4,c5)). [back_unit_del(106),unit_del(b,137)].
% 0.78/1.17 139 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,c5,f4(c3,c4,c5)). [back_unit_del(105),unit_del(b,137)].
% 0.78/1.17 144 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [back_unit_del(100),unit_del(b,137)].
% 0.78/1.17 145 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | element(f4(c3,c4,c5),the_carrier(c3)). [back_unit_del(99),unit_del(b,137)].
% 0.78/1.17 146 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [back_unit_del(98),unit_del(b,137)].
% 0.78/1.17 147 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)). [back_unit_del(97),unit_del(b,137)].
% 0.78/1.17 151 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | -element(f4(c3,c4,c5),the_carrier(c3)) | -related(c3,f4(c3,c4,c5),c5) | f4(c3,c4,c5) = c5. [resolve(138,c,49,d),flip(f),unit_del(d,137)].
% 0.78/1.17 152 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | -element(f4(c3,c4,c5),the_carrier(c3)) | -related(c3,f4(c3,c4,c5),c5) | f4(c3,c4,c5) = c5. [resolve(139,c,49,d),flip(f),unit_del(d,137)].
% 0.78/1.17 163 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | -element(f4(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f3(c3,c4,f4(c3,c4,c5))) | f4(c3,c4,f4(c3,c4,c5)) != f4(c3,c4,c5). [resolve(144,c,65,c),merge(c)].
% 0.78/1.17 165 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | -element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f4(c3,c4,c5),c5). [resolve(144,c,38,c),merge(c)].
% 0.78/1.17 179 ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)) | -element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(145,b,38,c),merge(c)].
% 0.78/1.17 194 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | -element(f4(c3,c4,c5),the_carrier(c3)) | element(f3(c3,c4,f4(c3,c4,c5)),the_carrier(c3)) | f4(c3,c4,f4(c3,c4,c5)) != f4(c3,c4,c5). [resolve(146,c,63,c),merge(c)].
% 0.78/1.17 195 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | -element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f4(c3,c4,c5),c5). [resolve(146,c,38,c),merge(c)].
% 0.78/1.17 197 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(147,a,44,a)].
% 0.78/1.17 198 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | element(f1(c3,c4),the_carrier(c3)). [resolve(147,a,42,a)].
% 0.78/1.17 200 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(197,c,40,c)].
% 0.78/1.17 201 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(197,c,39,c)].
% 0.78/1.17 205 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,f4(c3,c4,c5),c5) | element(f1(c3,c4),the_carrier(c3)). [resolve(195,c,198,b),merge(d)].
% 0.78/1.17 214 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | -element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)). [resolve(152,d,205,c),merge(e),merge(f)].
% 0.78/1.17 215 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)). [resolve(214,c,198,b),merge(e),merge(f)].
% 0.78/1.17 217 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)). [resolve(215,a,42,a),merge(d)].
% 0.78/1.17 218 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(217,a,179,c)].
% 0.78/1.18 223 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)) | -relstr_element_smaller(c3,c4,c5). [resolve(218,e,77,d),merge(e),merge(h),unit_del(e,137)].
% 0.78/1.18 225 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(223,e,36,b),merge(e)].
% 0.78/1.18 227 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(225,c,42,a),merge(d)].
% 0.78/1.18 229 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | related(c3,f4(c3,c4,c5),c5). [resolve(227,c,165,c)].
% 0.78/1.18 233 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(229,e,151,d),merge(e),merge(f),merge(h)].
% 0.78/1.18 234 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)). [resolve(233,e,227,c),merge(e),merge(f)].
% 0.78/1.18 249 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | -element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(234,d,38,c),merge(d)].
% 0.78/1.18 250 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | related(c3,f3(c3,c4,c5),c5). [resolve(249,d,217,a),merge(e),merge(f)].
% 0.78/1.18 251 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5) | related(c3,c5,f4(c3,c4,c5)). [resolve(250,d,91,d),merge(d),unit_del(d,137)].
% 0.78/1.18 253 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(250,d,79,d),merge(d),unit_del(d,137)].
% 0.78/1.18 255 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | related(c3,c5,f4(c3,c4,c5)). [resolve(251,d,36,b),merge(e)].
% 0.78/1.18 256 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)) | -related(c3,f4(c3,c4,c5),c5). [resolve(255,d,49,d),flip(g),merge(g),unit_del(e,137)].
% 0.78/1.18 257 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(253,d,36,b),merge(e)].
% 0.78/1.18 272 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f4(c3,c4,c5),c5). [resolve(257,d,38,c),merge(d)].
% 0.78/1.18 273 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | related(c3,f4(c3,c4,c5),c5). [resolve(272,d,227,c),merge(e),merge(f)].
% 0.78/1.18 274 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(273,d,256,e),merge(d),merge(e),merge(f)].
% 0.78/1.18 275 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4). [resolve(274,d,227,c),merge(d),merge(e)].
% 0.78/1.18 277 f4(c3,c4,c5) = c5 | element(f1(c3,c4),the_carrier(c3)). [resolve(275,c,42,a),merge(c)].
% 0.78/1.18 278 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(200,c,147,a),merge(e),merge(f)].
% 0.78/1.18 279 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))) | f4(c3,c4,c5) = c5. [resolve(278,c,277,b)].
% 0.78/1.18 282 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(279,c,46,c)].
% 0.78/1.18 285 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(201,c,147,a),merge(e),merge(f)].
% 0.78/1.18 286 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5. [resolve(285,c,277,b)].
% 0.78/1.18 289 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,f4(c3,c4,c5),c5). [resolve(286,b,195,c),merge(e)].
% 0.78/1.18 293 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(289,e,152,d),merge(e),merge(f),merge(h)].
% 0.78/1.18 294 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4). [resolve(293,e,286,b),merge(e),merge(f),merge(g)].
% 0.78/1.18 295 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(294,d,44,a)].
% 0.78/1.18 299 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(295,d,39,c),merge(f)].
% 0.78/1.18 300 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -element(f1(c3,c4),the_carrier(c3)). [resolve(299,d,294,d),merge(e),merge(f),merge(g)].
% 0.78/1.18 301 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5. [resolve(300,d,277,b),merge(d)].
% 0.78/1.18 302 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(301,a,179,c)].
% 0.78/1.18 307 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)) | -relstr_element_smaller(c3,c4,c5). [resolve(302,e,77,d),merge(e),merge(h),unit_del(e,137)].
% 0.78/1.18 309 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(307,e,36,b),merge(e)].
% 0.78/1.18 310 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(309,c,44,a)].
% 0.78/1.18 313 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(310,d,39,c),merge(f)].
% 0.78/1.18 315 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)). [resolve(313,d,309,c),merge(e),merge(f),merge(g)].
% 0.78/1.18 316 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(315,d,277,b),merge(d)].
% 0.78/1.18 318 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | related(c3,f4(c3,c4,c5),c5). [resolve(316,c,165,c)].
% 0.78/1.18 325 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(318,e,151,d),merge(e),merge(f),merge(h)].
% 0.78/1.18 328 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)). [resolve(325,e,316,c),merge(e),merge(f)].
% 0.78/1.18 343 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(328,d,38,c),merge(d)].
% 0.78/1.18 344 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,f3(c3,c4,c5),c5). [resolve(343,d,301,a),merge(e),merge(f)].
% 0.78/1.18 345 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5) | related(c3,c5,f4(c3,c4,c5)). [resolve(344,d,91,d),merge(d),unit_del(d,137)].
% 0.78/1.18 347 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(344,d,79,d),merge(d),unit_del(d,137)].
% 0.78/1.18 350 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,c5,f4(c3,c4,c5)). [resolve(345,d,36,b),merge(e)].
% 0.78/1.18 351 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)) | -related(c3,f4(c3,c4,c5),c5). [resolve(350,d,49,d),flip(g),merge(g),unit_del(e,137)].
% 0.78/1.18 352 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(347,d,36,b),merge(e)].
% 0.78/1.18 367 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f4(c3,c4,c5),c5). [resolve(352,d,38,c),merge(d)].
% 0.78/1.18 368 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,f4(c3,c4,c5),c5). [resolve(367,d,316,c),merge(e),merge(f)].
% 0.78/1.18 369 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(368,d,351,e),merge(d),merge(e),merge(f)].
% 0.78/1.18 370 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4). [resolve(369,d,316,c),merge(d),merge(e)].
% 0.78/1.18 371 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(370,c,44,a)].
% 0.78/1.18 374 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(371,c,39,c),merge(e)].
% 0.78/1.18 375 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -element(f1(c3,c4),the_carrier(c3)). [resolve(374,c,370,c),merge(d),merge(e)].
% 0.78/1.18 376 element(f6(f1(c3,c4)),the_carrier(c3)) | f4(c3,c4,c5) = c5. [resolve(375,c,277,b),merge(c)].
% 0.78/1.18 465 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(282,d,147,a),merge(f),merge(g)].
% 0.78/1.18 468 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(465,d,376,a),merge(e)].
% 0.78/1.18 470 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | -relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(468,d,37,d)].
% 0.78/1.18 471 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(470,f,197,c),merge(f),merge(g)].
% 0.78/1.18 472 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -element(f1(c3,c4),the_carrier(c3)). [resolve(471,d,147,a),merge(e),merge(f)].
% 0.78/1.18 476 element(f3(c3,c4,c5),the_carrier(c3)) | element(f4(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5. [resolve(472,d,277,b),merge(d)].
% 0.78/1.18 480 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,f4(c3,c4,c5),c5). [resolve(476,b,195,c),merge(d)].
% 0.78/1.18 490 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(480,d,152,d),merge(d),merge(e),merge(g)].
% 0.78/1.18 491 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4). [resolve(490,d,476,b),merge(d),merge(e)].
% 0.78/1.18 493 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(491,c,44,a)].
% 0.78/1.18 495 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(493,c,40,c)].
% 0.78/1.18 496 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(495,c,491,c),merge(e),merge(f)].
% 0.78/1.18 497 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(496,c,277,b),merge(d)].
% 0.78/1.18 500 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(497,c,46,c)].
% 0.78/1.18 516 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(500,c,491,c),merge(e),merge(f)].
% 0.78/1.18 517 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(516,c,376,a),merge(d)].
% 0.78/1.18 520 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | -relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(517,c,37,d)].
% 0.78/1.18 521 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(520,e,493,c),merge(e),merge(f)].
% 0.78/1.18 522 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5 | -element(f1(c3,c4),the_carrier(c3)). [resolve(521,c,491,c),merge(d),merge(e)].
% 0.78/1.18 523 element(f3(c3,c4,c5),the_carrier(c3)) | f4(c3,c4,c5) = c5. [resolve(522,c,277,b),merge(c)].
% 0.78/1.18 527 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(523,a,179,c)].
% 0.78/1.18 539 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)) | -relstr_element_smaller(c3,c4,c5). [resolve(527,d,77,d),merge(d),merge(g),unit_del(d,137)].
% 0.78/1.18 541 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(539,d,36,b),merge(d)].
% 0.78/1.18 542 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(541,b,44,a)].
% 0.78/1.18 545 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(542,c,40,c)].
% 0.78/1.18 546 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(545,c,541,b),merge(e),merge(f)].
% 0.78/1.18 547 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(546,c,277,b),merge(d)].
% 0.78/1.18 550 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(547,c,46,c)].
% 0.78/1.18 564 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(550,c,541,b),merge(e),merge(f)].
% 0.78/1.18 565 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(564,c,376,a),merge(d)].
% 0.78/1.18 567 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | -relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(565,c,37,d)].
% 0.78/1.18 568 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(567,e,542,c),merge(e),merge(f)].
% 0.78/1.18 569 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)) | -element(f1(c3,c4),the_carrier(c3)). [resolve(568,c,541,b),merge(d),merge(e)].
% 0.78/1.18 570 f4(c3,c4,c5) = c5 | element(f4(c3,c4,c5),the_carrier(c3)). [resolve(569,c,277,b),merge(c)].
% 0.78/1.18 574 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | related(c3,f4(c3,c4,c5),c5). [resolve(570,b,165,c)].
% 0.78/1.18 584 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(574,d,151,d),merge(d),merge(e),merge(g)].
% 0.78/1.18 585 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)). [resolve(584,d,570,b),merge(d)].
% 0.78/1.18 600 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(585,c,38,c),merge(c)].
% 0.78/1.18 601 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,f3(c3,c4,c5),c5). [resolve(600,c,523,a),merge(d)].
% 0.78/1.18 603 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5) | related(c3,c5,f4(c3,c4,c5)). [resolve(601,c,91,d),merge(c),unit_del(c,137)].
% 0.78/1.18 605 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(601,c,79,d),merge(c),unit_del(c,137)].
% 0.78/1.18 607 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,c5,f4(c3,c4,c5)). [resolve(603,c,36,b),merge(d)].
% 0.78/1.18 608 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)) | -related(c3,f4(c3,c4,c5),c5). [resolve(607,c,49,d),flip(f),merge(f),unit_del(d,137)].
% 0.78/1.18 609 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f4(c3,c4,c5)). [resolve(605,c,36,b),merge(d)].
% 0.78/1.18 625 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)) | related(c3,f4(c3,c4,c5),c5). [resolve(609,c,38,c),merge(c)].
% 0.78/1.18 626 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | related(c3,f4(c3,c4,c5),c5). [resolve(625,c,570,b),merge(d)].
% 0.78/1.18 627 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4) | -element(f4(c3,c4,c5),the_carrier(c3)). [resolve(626,c,608,d),merge(c),merge(d)].
% 0.78/1.18 629 f4(c3,c4,c5) = c5 | ex_inf_of_relstr_set(c3,c4). [resolve(627,c,570,b),merge(c)].
% 0.78/1.18 630 f4(c3,c4,c5) = c5 | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(629,b,44,a)].
% 0.78/1.18 632 f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(630,b,40,c)].
% 0.78/1.18 633 f4(c3,c4,c5) = c5 | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(632,b,629,b),merge(d)].
% 0.78/1.18 635 f4(c3,c4,c5) = c5 | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(633,b,277,b),merge(c)].
% 0.78/1.18 638 f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(635,b,46,c)].
% 0.78/1.18 654 f4(c3,c4,c5) = c5 | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(638,b,629,b),merge(d)].
% 0.78/1.18 655 f4(c3,c4,c5) = c5 | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(654,b,376,a),merge(c)].
% 0.78/1.18 657 f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | -relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(655,b,37,d)].
% 0.78/1.18 658 f4(c3,c4,c5) = c5 | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)). [resolve(657,d,630,b),merge(d)].
% 0.78/1.18 659 f4(c3,c4,c5) = c5 | -element(f1(c3,c4),the_carrier(c3)). [resolve(658,b,629,b),merge(c)].
% 0.78/1.18 660 f4(c3,c4,c5) = c5. [resolve(659,b,277,b),merge(b)].
% 0.78/1.18 663 ex_inf_of_relstr_set(c3,c4) | element(f3(c3,c4,c5),the_carrier(c3)). [back_rewrite(194),rewrite([660(14),660(20),660(27),660(25),660(26)]),xx(e),merge(d),unit_del(c,137)].
% 0.78/1.18 664 ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f3(c3,c4,c5)). [back_rewrite(163),rewrite([660(14),660(22),660(27),660(25),660(26)]),xx(e),merge(d),unit_del(c,137)].
% 0.78/1.18 665 element(f3(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(663,a,44,a)].
% 0.78/1.18 666 element(f3(c3,c4,c5),the_carrier(c3)) | element(f1(c3,c4),the_carrier(c3)). [resolve(663,a,42,a)].
% 0.78/1.18 681 ex_inf_of_relstr_set(c3,c4) | -element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,f3(c3,c4,c5),c5). [resolve(664,b,38,c),merge(b)].
% 0.78/1.18 683 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(665,b,40,c)].
% 0.78/1.18 684 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f1(c3,c4),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(665,b,39,c)].
% 0.78/1.18 685 ex_inf_of_relstr_set(c3,c4) | related(c3,f3(c3,c4,c5),c5) | element(f1(c3,c4),the_carrier(c3)). [resolve(681,b,666,a)].
% 0.78/1.18 686 ex_inf_of_relstr_set(c3,c4) | element(f1(c3,c4),the_carrier(c3)) | -relstr_element_smaller(c3,c4,c5). [resolve(685,b,67,d),rewrite([660(24)]),xx(f),merge(c),unit_del(c,137)].
% 0.78/1.18 688 ex_inf_of_relstr_set(c3,c4) | element(f1(c3,c4),the_carrier(c3)). [resolve(686,c,36,b),merge(c)].
% 0.78/1.18 690 element(f1(c3,c4),the_carrier(c3)). [resolve(688,a,42,a),merge(b)].
% 0.78/1.18 691 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | element(f6(f1(c3,c4)),the_carrier(c3)). [back_unit_del(684),unit_del(c,690)].
% 0.78/1.18 692 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [back_unit_del(683),unit_del(c,690)].
% 0.78/1.18 694 element(f3(c3,c4,c5),the_carrier(c3)) | element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(691,b,663,a),merge(c)].
% 0.78/1.18 695 element(f6(f1(c3,c4)),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | related(c3,f3(c3,c4,c5),c5). [resolve(694,a,681,b)].
% 0.78/1.18 698 element(f3(c3,c4,c5),the_carrier(c3)) | relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(692,b,663,a),merge(c)].
% 0.78/1.18 701 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -element(f6(f1(c3,c4)),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(698,b,46,c)].
% 0.78/1.18 704 element(f6(f1(c3,c4)),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5). [resolve(695,c,67,d),rewrite([660(25)]),xx(f),merge(c),unit_del(c,137)].
% 0.78/1.18 706 element(f6(f1(c3,c4)),the_carrier(c3)) | ex_inf_of_relstr_set(c3,c4). [resolve(704,c,36,b),merge(c)].
% 0.78/1.18 707 element(f6(f1(c3,c4)),the_carrier(c3)) | relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(706,b,44,a)].
% 0.78/1.18 710 element(f6(f1(c3,c4)),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4). [resolve(707,b,39,c),merge(d),unit_del(c,690)].
% 0.78/1.18 711 element(f6(f1(c3,c4)),the_carrier(c3)). [resolve(710,b,706,b),merge(b)].
% 0.78/1.18 714 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [back_unit_del(701),unit_del(c,711)].
% 0.78/1.18 725 element(f3(c3,c4,c5),the_carrier(c3)) | related(c3,f6(f1(c3,c4)),f1(c3,c4)). [resolve(714,b,663,a),merge(c)].
% 0.78/1.18 727 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(725,b,37,d),unit_del(c,690)].
% 0.78/1.18 728 element(f3(c3,c4,c5),the_carrier(c3)) | -ex_inf_of_relstr_set(c3,c4). [resolve(727,c,665,b),merge(c)].
% 0.78/1.18 729 element(f3(c3,c4,c5),the_carrier(c3)). [resolve(728,b,663,a),merge(b)].
% 0.78/1.18 730 ex_inf_of_relstr_set(c3,c4) | related(c3,f3(c3,c4,c5),c5). [back_unit_del(681),unit_del(b,729)].
% 0.78/1.18 745 ex_inf_of_relstr_set(c3,c4) | -relstr_element_smaller(c3,c4,c5). [resolve(730,b,67,d),rewrite([660(18)]),xx(e),merge(b),unit_del(b,137)].
% 0.78/1.18 747 ex_inf_of_relstr_set(c3,c4). [resolve(745,b,36,b),merge(b)].
% 0.78/1.18 748 -element(A,the_carrier(c3)) | -relstr_element_smaller(c3,c4,A) | relstr_element_smaller(c3,c4,f6(A)). [back_unit_del(40),unit_del(a,747)].
% 0.78/1.18 750 -element(A,the_carrier(c3)) | -relstr_element_smaller(c3,c4,A) | -related(c3,f6(A),A). [back_unit_del(37),unit_del(a,747)].
% 0.78/1.18 751 relstr_element_smaller(c3,c4,f1(c3,c4)). [resolve(747,a,44,a)].
% 0.78/1.18 753 relstr_element_smaller(c3,c4,f6(f1(c3,c4))). [resolve(748,b,751,a),unit_del(a,690)].
% 0.78/1.18 754 -related(c3,f6(f1(c3,c4)),f1(c3,c4)). [ur(750,a,690,a,b,751,a)].
% 0.78/1.18 755 $F. [ur(46,a,747,a,b,711,a,d,754,a),unit_del(a,753)].
% 0.78/1.18
% 0.78/1.18 % SZS output end Refutation
% 0.78/1.18 ============================== end of proof ==========================
% 0.78/1.18
% 0.78/1.18 ============================== STATISTICS ============================
% 0.78/1.18
% 0.78/1.18 Given=385. Generated=1932. Kept=715. proofs=1.
% 0.78/1.18 Usable=57. Sos=2. Demods=1. Limbo=0, Disabled=727. Hints=0.
% 0.78/1.18 Megabytes=1.01.
% 0.78/1.18 User_CPU=0.15, System_CPU=0.00, Wall_clock=0.
% 0.78/1.18
% 0.78/1.18 ============================== end of statistics =====================
% 0.78/1.18
% 0.78/1.18 ============================== end of search =========================
% 0.78/1.18
% 0.78/1.18 THEOREM PROVED
% 0.78/1.18 % SZS status Theorem
% 0.78/1.18
% 0.78/1.18 Exiting with 1 proof.
% 0.78/1.18
% 0.78/1.18 Process 17909 exit (max_proofs) Mon Jun 20 11:36:25 2022
% 0.92/1.18 Prover9 interrupted
%------------------------------------------------------------------------------