TSTP Solution File: KRS104+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : KRS104+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 03:24:59 EDT 2022
% Result : Unsatisfiable 0.41s 0.98s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS104+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n017.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 : Tue Jun 7 08:35:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/0.97 ============================== Prover9 ===============================
% 0.41/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.97 Process 3075 was started by sandbox2 on n017.cluster.edu,
% 0.41/0.97 Tue Jun 7 08:35:48 2022
% 0.41/0.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2921_n017.cluster.edu".
% 0.41/0.97 ============================== end of head ===========================
% 0.41/0.97
% 0.41/0.97 ============================== INPUT =================================
% 0.41/0.97
% 0.41/0.97 % Reading from file /tmp/Prover9_2921_n017.cluster.edu
% 0.41/0.97
% 0.41/0.97 set(prolog_style_variables).
% 0.41/0.97 set(auto2).
% 0.41/0.97 % set(auto2) -> set(auto).
% 0.41/0.97 % set(auto) -> set(auto_inference).
% 0.41/0.97 % set(auto) -> set(auto_setup).
% 0.41/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.41/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.97 % set(auto) -> set(auto_limits).
% 0.41/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.97 % set(auto) -> set(auto_denials).
% 0.41/0.97 % set(auto) -> set(auto_process).
% 0.41/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.41/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.41/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.41/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.41/0.97 % set(auto2) -> assign(stats, some).
% 0.41/0.97 % set(auto2) -> clear(echo_input).
% 0.41/0.97 % set(auto2) -> set(quiet).
% 0.41/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.97 % set(auto2) -> clear(print_given).
% 0.41/0.97 assign(lrs_ticks,-1).
% 0.41/0.97 assign(sos_limit,10000).
% 0.41/0.97 assign(order,kbo).
% 0.41/0.97 set(lex_order_vars).
% 0.41/0.97 clear(print_given).
% 0.41/0.97
% 0.41/0.97 % formulas(sos). % not echoed (24 formulas)
% 0.41/0.97
% 0.41/0.97 ============================== end of input ==========================
% 0.41/0.97
% 0.41/0.97 % From the command line: assign(max_seconds, 300).
% 0.41/0.97
% 0.41/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.97
% 0.41/0.97 % Formulas that are not ordinary clauses:
% 0.41/0.97 1 (all X (cowlThing(X) & -cowlNothing(X))) # label(axiom_0) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 2 (all X (xsd_string(X) <-> -xsd_integer(X))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 3 (all X (cUnsatisfiable(X) <-> -(exists Y ra_Px5(X,Y)))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 4 (all X (cUnsatisfiablexcomp(X) <-> ca_Cx7(X) & ca_Cx8(X) & ca_Cx6(X))) # label(axiom_3) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 5 (all X (cUnsatisfiablexcomp(X) <-> (exists Y0 ra_Px5(X,Y0)))) # label(axiom_4) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 6 (all X (ca(X) -> ca_Cx1(X))) # label(axiom_5) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 7 (all X (cb(X) <-> (exists Y0 ra_Px3(X,Y0)))) # label(axiom_6) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 8 (all X (cb(X) -> ccxcomp(X))) # label(axiom_7) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 9 (all X (cbxcomp(X) <-> -(exists Y ra_Px3(X,Y)))) # label(axiom_8) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 10 (all X (cc(X) <-> (exists Y0 ra_Px2(X,Y0)))) # label(axiom_9) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 11 (all X (ccxcomp(X) <-> -(exists Y ra_Px2(X,Y)))) # label(axiom_10) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 12 (all X (ca_Cx1(X) <-> cbxcomp(X) & ccxcomp(X))) # label(axiom_11) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 13 (all X (ca_Cx1(X) <-> (exists Y0 ra_Px1(X,Y0)))) # label(axiom_12) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 14 (all X (ca_Cx1xcomp(X) <-> -(exists Y ra_Px1(X,Y)))) # label(axiom_13) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 15 (all X (ca_Cx6(X) <-> -(exists Y ra_Px6(X,Y)))) # label(axiom_14) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 16 (all X (ca_Cx6xcomp(X) <-> ca(X) & cb(X))) # label(axiom_15) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 17 (all X (ca_Cx6xcomp(X) <-> (exists Y0 ra_Px6(X,Y0)))) # label(axiom_16) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 18 (all X (ca_Cx7(X) <-> (exists Y0 ra_Px7(X,Y0)))) # label(axiom_17) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 19 (all X (ca_Cx7xcomp(X) <-> cc(X) & ca(X))) # label(axiom_18) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 20 (all X (ca_Cx7xcomp(X) <-> -(exists Y ra_Px7(X,Y)))) # label(axiom_19) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 21 (all X (ca_Cx8(X) <-> -(exists Y ra_Px8(X,Y)))) # label(axiom_20) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 22 (all X (ca_Cx8xcomp(X) <-> (exists Y0 ra_Px8(X,Y0)))) # label(axiom_21) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97 23 (all X (ca_Cx8xcomp(X) <-> cc(X) & cb(X))) # label(axiom_22) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.97
% 0.41/0.97 ============================== end of process non-clausal formulas ===
% 0.41/0.97
% 0.41/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.97
% 0.41/0.97 ============================== PREDICATE ELIMINATION =================
% 0.41/0.97 24 -cUnsatisfiable(A) | -ra_Px5(A,B) # label(axiom_2) # label(axiom). [clausify(3)].
% 0.41/0.97 25 cUnsatisfiable(i2003_11_14_17_20_50869) # label(axiom_23) # label(axiom). [assumption].
% 0.41/0.97 26 cUnsatisfiable(A) | ra_Px5(A,f1(A)) # label(axiom_2) # label(axiom). [clausify(3)].
% 0.41/0.97 Derived: -ra_Px5(i2003_11_14_17_20_50869,A). [resolve(24,a,25,a)].
% 0.41/0.97 Derived: -ra_Px5(A,B) | ra_Px5(A,f1(A)). [resolve(24,a,26,a)].
% 0.41/0.97 27 -xsd_string(A) | -xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.41/0.97 28 xsd_string(A) | xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.41/0.97 29 -cbxcomp(A) | -ra_Px3(A,B) # label(axiom_8) # label(axiom). [clausify(9)].
% 0.41/0.97 30 cbxcomp(A) | ra_Px3(A,f4(A)) # label(axiom_8) # label(axiom). [clausify(9)].
% 0.41/0.97 Derived: -ra_Px3(A,B) | ra_Px3(A,f4(A)). [resolve(29,a,30,a)].
% 0.41/0.97 31 -ca_Cx1(A) | cbxcomp(A) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.41/0.97 Derived: -ca_Cx1(A) | -ra_Px3(A,B). [resolve(31,b,29,a)].
% 0.41/0.97 32 ca_Cx1(A) | -cbxcomp(A) | -ccxcomp(A) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.41/0.97 Derived: ca_Cx1(A) | -ccxcomp(A) | ra_Px3(A,f4(A)). [resolve(32,b,30,a)].
% 0.41/0.97 33 -ccxcomp(A) | -ra_Px2(A,B) # label(axiom_10) # label(axiom). [clausify(11)].
% 0.41/0.97 34 ccxcomp(A) | ra_Px2(A,f6(A)) # label(axiom_10) # label(axiom). [clausify(11)].
% 0.41/0.97 Derived: -ra_Px2(A,B) | ra_Px2(A,f6(A)). [resolve(33,a,34,a)].
% 0.41/0.97 35 -cb(A) | ccxcomp(A) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.41/0.97 Derived: -cb(A) | -ra_Px2(A,B). [resolve(35,b,33,a)].
% 0.41/0.97 36 -ca_Cx1(A) | ccxcomp(A) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.41/0.97 Derived: -ca_Cx1(A) | -ra_Px2(A,B). [resolve(36,b,33,a)].
% 0.41/0.97 37 ca_Cx1(A) | -ccxcomp(A) | ra_Px3(A,f4(A)). [resolve(32,b,30,a)].
% 0.41/0.97 Derived: ca_Cx1(A) | ra_Px3(A,f4(A)) | ra_Px2(A,f6(A)). [resolve(37,b,34,a)].
% 0.41/0.97 Derived: ca_Cx1(A) | ra_Px3(A,f4(A)) | -cb(A). [resolve(37,b,35,b)].
% 0.41/0.97 38 -ca_Cx1xcomp(A) | -ra_Px1(A,B) # label(axiom_13) # label(axiom). [clausify(14)].
% 0.41/0.97 39 ca_Cx1xcomp(A) | ra_Px1(A,f8(A)) # label(axiom_13) # label(axiom). [clausify(14)].
% 0.41/0.97 Derived: -ra_Px1(A,B) | ra_Px1(A,f8(A)). [resolve(38,a,39,a)].
% 0.41/0.97 40 -ca_Cx6(A) | -ra_Px6(A,B) # label(axiom_14) # label(axiom). [clausify(15)].
% 0.41/0.97 41 ca_Cx6(A) | ra_Px6(A,f9(A)) # label(axiom_14) # label(axiom). [clausify(15)].
% 0.41/0.97 Derived: -ra_Px6(A,B) | ra_Px6(A,f9(A)). [resolve(40,a,41,a)].
% 0.41/0.97 42 -cUnsatisfiablexcomp(A) | ca_Cx6(A) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.41/0.97 Derived: -cUnsatisfiablexcomp(A) | -ra_Px6(A,B). [resolve(42,b,40,a)].
% 0.41/0.97 43 cUnsatisfiablexcomp(A) | -ca_Cx7(A) | -ca_Cx8(A) | -ca_Cx6(A) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.41/0.97 Derived: cUnsatisfiablexcomp(A) | -ca_Cx7(A) | -ca_Cx8(A) | ra_Px6(A,f9(A)). [resolve(43,d,41,a)].
% 0.41/0.97 44 -ca_Cx7xcomp(A) | -ra_Px7(A,B) # label(axiom_19) # label(axiom). [clausify(20)].
% 0.41/0.97 45 ca_Cx7xcomp(A) | ra_Px7(A,f12(A)) # label(axiom_19) # label(axiom). [clausify(20)].
% 0.41/0.97 Derived: -ra_Px7(A,B) | ra_Px7(A,f12(A)). [resolve(44,a,45,a)].
% 0.41/0.97 46 -ca_Cx7xcomp(A) | cc(A) # label(axiom_18) # label(axiom). [clausify(19)].
% 0.41/0.97 Derived: cc(A) | ra_Px7(A,f12(A)). [resolve(46,a,45,a)].
% 0.41/0.97 47 -ca_Cx7xcomp(A) | ca(A) # label(axiom_18) # label(axiom). [clausify(19)].
% 0.41/0.97 Derived: ca(A) | ra_Px7(A,f12(A)). [resolve(47,a,45,a)].
% 0.41/0.98 48 ca_Cx7xcomp(A) | -cc(A) | -ca(A) # label(axiom_18) # label(axiom). [clausify(19)].
% 0.41/0.98 Derived: -cc(A) | -ca(A) | -ra_Px7(A,B). [resolve(48,a,44,a)].
% 0.41/0.98 49 -ca_Cx8(A) | -ra_Px8(A,B) # label(axiom_20) # label(axiom). [clausify(21)].
% 0.41/0.98 50 ca_Cx8(A) | ra_Px8(A,f13(A)) # label(axiom_20) # label(axiom). [clausify(21)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ra_Px8(A,f13(A)). [resolve(49,a,50,a)].
% 0.41/0.98 51 -cUnsatisfiablexcomp(A) | ca_Cx8(A) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.41/0.98 Derived: -cUnsatisfiablexcomp(A) | -ra_Px8(A,B). [resolve(51,b,49,a)].
% 0.41/0.98 52 cUnsatisfiablexcomp(A) | -ca_Cx7(A) | -ca_Cx8(A) | ra_Px6(A,f9(A)). [resolve(43,d,41,a)].
% 0.41/0.98 Derived: cUnsatisfiablexcomp(A) | -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)). [resolve(52,c,50,a)].
% 0.41/0.98 53 cUnsatisfiablexcomp(A) | -ra_Px5(A,B) # label(axiom_4) # label(axiom). [clausify(5)].
% 0.41/0.98 54 -cUnsatisfiablexcomp(A) | ca_Cx7(A) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.41/0.98 Derived: -ra_Px5(A,B) | ca_Cx7(A). [resolve(53,a,54,a)].
% 0.41/0.98 55 -cUnsatisfiablexcomp(A) | ra_Px5(A,f2(A)) # label(axiom_4) # label(axiom). [clausify(5)].
% 0.41/0.98 Derived: ra_Px5(A,f2(A)) | -ra_Px5(A,B). [resolve(55,a,53,a)].
% 0.41/0.98 56 -cUnsatisfiablexcomp(A) | -ra_Px6(A,B). [resolve(42,b,40,a)].
% 0.41/0.98 Derived: -ra_Px6(A,B) | -ra_Px5(A,C). [resolve(56,a,53,a)].
% 0.41/0.98 57 -cUnsatisfiablexcomp(A) | -ra_Px8(A,B). [resolve(51,b,49,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | -ra_Px5(A,C). [resolve(57,a,53,a)].
% 0.41/0.98 58 cUnsatisfiablexcomp(A) | -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)). [resolve(52,c,50,a)].
% 0.41/0.98 Derived: -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | ra_Px5(A,f2(A)). [resolve(58,a,55,a)].
% 0.41/0.98 Derived: -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px6(A,B). [resolve(58,a,56,a)].
% 0.41/0.98 Derived: -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px8(A,B). [resolve(58,a,57,a)].
% 0.41/0.98 59 -ca_Cx6xcomp(A) | ca(A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.41/0.98 60 -ca(A) | ca_Cx1(A) # label(axiom_5) # label(axiom). [clausify(6)].
% 0.41/0.98 Derived: -ca_Cx6xcomp(A) | ca_Cx1(A). [resolve(59,b,60,a)].
% 0.41/0.98 61 ca_Cx6xcomp(A) | -ca(A) | -cb(A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.41/0.98 62 ca(A) | ra_Px7(A,f12(A)). [resolve(47,a,45,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ca_Cx1(A). [resolve(62,a,60,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ca_Cx6xcomp(A) | -cb(A). [resolve(62,a,61,b)].
% 0.41/0.98 63 -cc(A) | -ca(A) | -ra_Px7(A,B). [resolve(48,a,44,a)].
% 0.41/0.98 Derived: -cc(A) | -ra_Px7(A,B) | -ca_Cx6xcomp(A). [resolve(63,b,59,b)].
% 0.41/0.98 Derived: -cc(A) | -ra_Px7(A,B) | ra_Px7(A,f12(A)). [resolve(63,b,62,a)].
% 0.41/0.98 64 ca_Cx6xcomp(A) | -ra_Px6(A,B) # label(axiom_16) # label(axiom). [clausify(17)].
% 0.41/0.98 65 -ca_Cx6xcomp(A) | cb(A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.41/0.98 Derived: -ra_Px6(A,B) | cb(A). [resolve(64,a,65,a)].
% 0.41/0.98 66 -ca_Cx6xcomp(A) | ra_Px6(A,f10(A)) # label(axiom_16) # label(axiom). [clausify(17)].
% 0.41/0.98 Derived: ra_Px6(A,f10(A)) | -ra_Px6(A,B). [resolve(66,a,64,a)].
% 0.41/0.98 67 -ca_Cx6xcomp(A) | ca_Cx1(A). [resolve(59,b,60,a)].
% 0.41/0.98 Derived: ca_Cx1(A) | -ra_Px6(A,B). [resolve(67,a,64,a)].
% 0.41/0.98 68 ra_Px7(A,f12(A)) | ca_Cx6xcomp(A) | -cb(A). [resolve(62,a,61,b)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | -cb(A) | ra_Px6(A,f10(A)). [resolve(68,b,66,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | -cb(A) | ca_Cx1(A). [resolve(68,b,67,a)].
% 0.41/0.98 69 -cc(A) | -ra_Px7(A,B) | -ca_Cx6xcomp(A). [resolve(63,b,59,b)].
% 0.41/0.98 Derived: -cc(A) | -ra_Px7(A,B) | -ra_Px6(A,C). [resolve(69,c,64,a)].
% 0.41/0.98 70 ca_Cx8xcomp(A) | -ra_Px8(A,B) # label(axiom_21) # label(axiom). [clausify(22)].
% 0.41/0.98 71 -ca_Cx8xcomp(A) | cc(A) # label(axiom_22) # label(axiom). [clausify(23)].
% 0.41/0.98 72 -ca_Cx8xcomp(A) | cb(A) # label(axiom_22) # label(axiom). [clausify(23)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | cc(A). [resolve(70,a,71,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | cb(A). [resolve(70,a,72,a)].
% 0.41/0.98 73 -ca_Cx8xcomp(A) | ra_Px8(A,f14(A)) # label(axiom_21) # label(axiom). [clausify(22)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px8(A,B). [resolve(73,a,70,a)].
% 0.41/0.98 74 ca_Cx8xcomp(A) | -cc(A) | -cb(A) # label(axiom_22) # label(axiom). [clausify(23)].
% 0.41/0.98 Derived: -cc(A) | -cb(A) | ra_Px8(A,f14(A)). [resolve(74,a,73,a)].
% 0.41/0.98 75 -cb(A) | ra_Px3(A,f3(A)) # label(axiom_6) # label(axiom). [clausify(7)].
% 0.41/0.98 76 cb(A) | -ra_Px3(A,B) # label(axiom_6) # label(axiom). [clausify(7)].
% 0.41/0.98 Derived: ra_Px3(A,f3(A)) | -ra_Px3(A,B). [resolve(75,a,76,a)].
% 0.41/0.98 77 -cb(A) | -ra_Px2(A,B). [resolve(35,b,33,a)].
% 0.41/0.98 Derived: -ra_Px2(A,B) | -ra_Px3(A,C). [resolve(77,a,76,a)].
% 0.41/0.98 78 ca_Cx1(A) | ra_Px3(A,f4(A)) | -cb(A). [resolve(37,b,35,b)].
% 0.41/0.98 Derived: ca_Cx1(A) | ra_Px3(A,f4(A)) | -ra_Px3(A,B). [resolve(78,c,76,a)].
% 0.41/0.98 79 -ra_Px6(A,B) | cb(A). [resolve(64,a,65,a)].
% 0.41/0.98 Derived: -ra_Px6(A,B) | ra_Px3(A,f3(A)). [resolve(79,b,75,a)].
% 0.41/0.98 Derived: -ra_Px6(A,B) | -ra_Px2(A,C). [resolve(79,b,77,a)].
% 0.41/0.98 80 ra_Px7(A,f12(A)) | -cb(A) | ra_Px6(A,f10(A)). [resolve(68,b,66,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ra_Px6(A,f10(A)) | -ra_Px3(A,B). [resolve(80,b,76,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ra_Px6(A,f10(A)) | -ra_Px6(A,B). [resolve(80,b,79,b)].
% 0.41/0.98 81 ra_Px7(A,f12(A)) | -cb(A) | ca_Cx1(A). [resolve(68,b,67,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ca_Cx1(A) | -ra_Px3(A,B). [resolve(81,b,76,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ca_Cx1(A) | -ra_Px6(A,B). [resolve(81,b,79,b)].
% 0.41/0.98 82 -ra_Px8(A,B) | cb(A). [resolve(70,a,72,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ra_Px3(A,f3(A)). [resolve(82,b,75,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | -ra_Px2(A,C). [resolve(82,b,77,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ca_Cx1(A) | ra_Px3(A,f4(A)). [resolve(82,b,78,c)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ra_Px7(A,f12(A)) | ra_Px6(A,f10(A)). [resolve(82,b,80,b)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ra_Px7(A,f12(A)) | ca_Cx1(A). [resolve(82,b,81,b)].
% 0.41/0.98 83 -cc(A) | -cb(A) | ra_Px8(A,f14(A)). [resolve(74,a,73,a)].
% 0.41/0.98 Derived: -cc(A) | ra_Px8(A,f14(A)) | -ra_Px3(A,B). [resolve(83,b,76,a)].
% 0.41/0.98 Derived: -cc(A) | ra_Px8(A,f14(A)) | -ra_Px6(A,B). [resolve(83,b,79,b)].
% 0.41/0.98 Derived: -cc(A) | ra_Px8(A,f14(A)) | -ra_Px8(A,B). [resolve(83,b,82,b)].
% 0.41/0.98 84 -cc(A) | ra_Px2(A,f5(A)) # label(axiom_9) # label(axiom). [clausify(10)].
% 0.41/0.98 85 cc(A) | -ra_Px2(A,B) # label(axiom_9) # label(axiom). [clausify(10)].
% 0.41/0.98 Derived: ra_Px2(A,f5(A)) | -ra_Px2(A,B). [resolve(84,a,85,a)].
% 0.41/0.98 86 cc(A) | ra_Px7(A,f12(A)). [resolve(46,a,45,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ra_Px2(A,f5(A)). [resolve(86,a,84,a)].
% 0.41/0.98 87 -cc(A) | -ra_Px7(A,B) | ra_Px7(A,f12(A)). [resolve(63,b,62,a)].
% 0.41/0.98 Derived: -ra_Px7(A,B) | ra_Px7(A,f12(A)) | -ra_Px2(A,C). [resolve(87,a,85,a)].
% 0.41/0.98 Derived: -ra_Px7(A,B) | ra_Px7(A,f12(A)) | ra_Px7(A,f12(A)). [resolve(87,a,86,a)].
% 0.41/0.98 88 -cc(A) | -ra_Px7(A,B) | -ra_Px6(A,C). [resolve(69,c,64,a)].
% 0.41/0.98 89 -ra_Px8(A,B) | cc(A). [resolve(70,a,71,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ra_Px2(A,f5(A)). [resolve(89,b,84,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | -ra_Px7(A,C) | -ra_Px6(A,D). [resolve(89,b,88,a)].
% 0.41/0.98 90 -cc(A) | ra_Px8(A,f14(A)) | -ra_Px3(A,B). [resolve(83,b,76,a)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px3(A,B) | -ra_Px2(A,C). [resolve(90,a,85,a)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px3(A,B) | ra_Px7(A,f12(A)). [resolve(90,a,86,a)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px3(A,B) | -ra_Px8(A,C). [resolve(90,a,89,b)].
% 0.41/0.98 91 -cc(A) | ra_Px8(A,f14(A)) | -ra_Px6(A,B). [resolve(83,b,79,b)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px6(A,B) | -ra_Px2(A,C). [resolve(91,a,85,a)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px6(A,B) | ra_Px7(A,f12(A)). [resolve(91,a,86,a)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px6(A,B) | -ra_Px8(A,C). [resolve(91,a,89,b)].
% 0.41/0.98 92 -cc(A) | ra_Px8(A,f14(A)) | -ra_Px8(A,B). [resolve(83,b,82,b)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px8(A,B) | -ra_Px2(A,C). [resolve(92,a,85,a)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px8(A,B) | ra_Px7(A,f12(A)). [resolve(92,a,86,a)].
% 0.41/0.98 Derived: ra_Px8(A,f14(A)) | -ra_Px8(A,B) | -ra_Px8(A,C). [resolve(92,a,89,b)].
% 0.41/0.98 93 -ca_Cx1(A) | ra_Px1(A,f7(A)) # label(axiom_12) # label(axiom). [clausify(13)].
% 0.41/0.98 94 ca_Cx1(A) | -ra_Px1(A,B) # label(axiom_12) # label(axiom). [clausify(13)].
% 0.41/0.98 Derived: ra_Px1(A,f7(A)) | -ra_Px1(A,B). [resolve(93,a,94,a)].
% 0.41/0.98 95 -ca_Cx1(A) | -ra_Px3(A,B). [resolve(31,b,29,a)].
% 0.41/0.98 Derived: -ra_Px3(A,B) | -ra_Px1(A,C). [resolve(95,a,94,a)].
% 0.41/0.98 96 -ca_Cx1(A) | -ra_Px2(A,B). [resolve(36,b,33,a)].
% 0.41/0.98 Derived: -ra_Px2(A,B) | -ra_Px1(A,C). [resolve(96,a,94,a)].
% 0.41/0.98 97 ca_Cx1(A) | ra_Px3(A,f4(A)) | ra_Px2(A,f6(A)). [resolve(37,b,34,a)].
% 0.41/0.98 Derived: ra_Px3(A,f4(A)) | ra_Px2(A,f6(A)) | ra_Px1(A,f7(A)). [resolve(97,a,93,a)].
% 0.41/0.98 Derived: ra_Px3(A,f4(A)) | ra_Px2(A,f6(A)) | -ra_Px3(A,B). [resolve(97,a,95,a)].
% 0.41/0.98 Derived: ra_Px3(A,f4(A)) | ra_Px2(A,f6(A)) | -ra_Px2(A,B). [resolve(97,a,96,a)].
% 0.41/0.98 98 ra_Px7(A,f12(A)) | ca_Cx1(A). [resolve(62,a,60,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | ra_Px1(A,f7(A)). [resolve(98,b,93,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | -ra_Px3(A,B). [resolve(98,b,95,a)].
% 0.41/0.98 Derived: ra_Px7(A,f12(A)) | -ra_Px2(A,B). [resolve(98,b,96,a)].
% 0.41/0.98 99 ca_Cx1(A) | -ra_Px6(A,B). [resolve(67,a,64,a)].
% 0.41/0.98 Derived: -ra_Px6(A,B) | ra_Px1(A,f7(A)). [resolve(99,a,93,a)].
% 0.41/0.98 Derived: -ra_Px6(A,B) | -ra_Px3(A,C). [resolve(99,a,95,a)].
% 0.41/0.98 100 ca_Cx1(A) | ra_Px3(A,f4(A)) | -ra_Px3(A,B). [resolve(78,c,76,a)].
% 0.41/0.98 Derived: ra_Px3(A,f4(A)) | -ra_Px3(A,B) | ra_Px1(A,f7(A)). [resolve(100,a,93,a)].
% 0.41/0.98 Derived: ra_Px3(A,f4(A)) | -ra_Px3(A,B) | -ra_Px3(A,C). [resolve(100,a,95,a)].
% 0.41/0.98 101 ra_Px7(A,f12(A)) | ca_Cx1(A) | -ra_Px3(A,B). [resolve(81,b,76,a)].
% 0.41/0.98 102 ra_Px7(A,f12(A)) | ca_Cx1(A) | -ra_Px6(A,B). [resolve(81,b,79,b)].
% 0.41/0.98 103 -ra_Px8(A,B) | ca_Cx1(A) | ra_Px3(A,f4(A)). [resolve(82,b,78,c)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ra_Px3(A,f4(A)) | ra_Px1(A,f7(A)). [resolve(103,b,93,a)].
% 0.41/0.98 Derived: -ra_Px8(A,B) | ra_Px3(A,f4(A)) | -ra_Px2(A,C). [resolve(103,b,96,a)].
% 0.41/0.98 104 -ra_Px8(A,B) | ra_Px7(A,f12(A)) | ca_Cx1(A). [resolve(82,b,81,b)].
% 0.41/0.98 105 -ca_Cx7(A) | ra_Px7(A,f11(A)) # label(axiom_17) # label(axiom). [clausify(18)].
% 0.41/0.98 106 ca_Cx7(A) | -ra_Px7(A,B) # label(axiom_17) # label(axiom). [clausify(18)].
% 0.41/0.98 Derived: ra_Px7(A,f11(A)) | -ra_Px7(A,B). [resolve(105,a,106,a)].
% 0.41/0.98 107 -ra_Px5(A,B) | ca_Cx7(A). [resolve(53,a,54,a)].
% 0.41/0.98 Derived: -ra_Px5(A,B) | ra_Px7(A,f11(A)). [resolve(107,b,105,a)].
% 0.41/0.98 108 -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | ra_Px5(A,f2(A)). [resolve(58,a,55,a)].
% 0.41/0.98 Derived: ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | ra_Px5(A,f2(A)) | -ra_Px7(A,B). [resolve(108,a,106,a)].
% 0.41/0.98 Derived: ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | ra_Px5(A,f2(A)) | -ra_Px5(A,B). [resolve(108,a,107,b)].
% 0.41/0.98 109 -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px6(A,B). [resolve(58,a,56,a)].
% 0.41/0.98 Derived: ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px6(A,B) | -ra_Px7(A,C). [resolve(109,a,106,a)].
% 0.41/0.98 Derived: ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px6(A,B) | -ra_Px5(A,C). [resolve(109,a,107,b)].
% 0.41/0.98 110 -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px8(A,B). [resolve(58,a,57,a)].
% 0.41/0.98 Derived: ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px8(A,B) | -ra_Px7(A,C). [resolve(110,a,106,a)].
% 0.41/0.98 Derived: ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | -ra_Px8(A,B) | -ra_Px5(A,C). [resolve(110,a,107,b)].
% 0.41/0.98
% 0.41/0.98 ============================== end predicate elimination =============
% 0.41/0.98
% 0.41/0.98 Auto_denials: (non-Horn, no changes).
% 0.41/0.98
% 0.41/0.98 Term ordering decisions:
% 0.41/0.98 Function symbol KB weights: i2003_11_14_17_20_50869=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1.
% 0.41/0.98
% 0.41/0.98 ============================== end of process initial clauses ========
% 0.41/0.98
% 0.41/0.98 ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.98
% 0.41/0.98 ============================== end of clauses for search =============
% 0.41/0.98
% 0.41/0.98 ============================== SEARCH ================================
% 0.41/0.98
% 0.41/0.98 % Starting search at 0.02 seconds.
% 0.41/0.98
% 0.41/0.98 ============================== PROOF =================================
% 0.41/0.98 % SZS status Unsatisfiable
% 0.41/0.98 % SZS output start Refutation
% 0.41/0.98
% 0.41/0.98 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.41/0.98 % Length of proof is 74.
% 0.41/0.98 % Level of proof is 11.
% 0.41/0.98 % Maximum clause weight is 15.000.
% 0.41/0.98 % Given clauses 48.
% 0.41/0.98
% 0.41/0.98 3 (all X (cUnsatisfiable(X) <-> -(exists Y ra_Px5(X,Y)))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 4 (all X (cUnsatisfiablexcomp(X) <-> ca_Cx7(X) & ca_Cx8(X) & ca_Cx6(X))) # label(axiom_3) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 5 (all X (cUnsatisfiablexcomp(X) <-> (exists Y0 ra_Px5(X,Y0)))) # label(axiom_4) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 6 (all X (ca(X) -> ca_Cx1(X))) # label(axiom_5) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 7 (all X (cb(X) <-> (exists Y0 ra_Px3(X,Y0)))) # label(axiom_6) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 8 (all X (cb(X) -> ccxcomp(X))) # label(axiom_7) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 9 (all X (cbxcomp(X) <-> -(exists Y ra_Px3(X,Y)))) # label(axiom_8) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 10 (all X (cc(X) <-> (exists Y0 ra_Px2(X,Y0)))) # label(axiom_9) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 11 (all X (ccxcomp(X) <-> -(exists Y ra_Px2(X,Y)))) # label(axiom_10) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 12 (all X (ca_Cx1(X) <-> cbxcomp(X) & ccxcomp(X))) # label(axiom_11) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 15 (all X (ca_Cx6(X) <-> -(exists Y ra_Px6(X,Y)))) # label(axiom_14) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 16 (all X (ca_Cx6xcomp(X) <-> ca(X) & cb(X))) # label(axiom_15) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 17 (all X (ca_Cx6xcomp(X) <-> (exists Y0 ra_Px6(X,Y0)))) # label(axiom_16) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 18 (all X (ca_Cx7(X) <-> (exists Y0 ra_Px7(X,Y0)))) # label(axiom_17) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 19 (all X (ca_Cx7xcomp(X) <-> cc(X) & ca(X))) # label(axiom_18) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 20 (all X (ca_Cx7xcomp(X) <-> -(exists Y ra_Px7(X,Y)))) # label(axiom_19) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 21 (all X (ca_Cx8(X) <-> -(exists Y ra_Px8(X,Y)))) # label(axiom_20) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 22 (all X (ca_Cx8xcomp(X) <-> (exists Y0 ra_Px8(X,Y0)))) # label(axiom_21) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 23 (all X (ca_Cx8xcomp(X) <-> cc(X) & cb(X))) # label(axiom_22) # label(axiom) # label(non_clause). [assumption].
% 0.41/0.98 24 -cUnsatisfiable(A) | -ra_Px5(A,B) # label(axiom_2) # label(axiom). [clausify(3)].
% 0.41/0.98 25 cUnsatisfiable(i2003_11_14_17_20_50869) # label(axiom_23) # label(axiom). [assumption].
% 0.41/0.98 29 -cbxcomp(A) | -ra_Px3(A,B) # label(axiom_8) # label(axiom). [clausify(9)].
% 0.41/0.98 31 -ca_Cx1(A) | cbxcomp(A) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.41/0.98 33 -ccxcomp(A) | -ra_Px2(A,B) # label(axiom_10) # label(axiom). [clausify(11)].
% 0.41/0.98 35 -cb(A) | ccxcomp(A) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.41/0.98 36 -ca_Cx1(A) | ccxcomp(A) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.41/0.98 41 ca_Cx6(A) | ra_Px6(A,f9(A)) # label(axiom_14) # label(axiom). [clausify(15)].
% 0.41/0.98 43 cUnsatisfiablexcomp(A) | -ca_Cx7(A) | -ca_Cx8(A) | -ca_Cx6(A) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.41/0.98 45 ca_Cx7xcomp(A) | ra_Px7(A,f12(A)) # label(axiom_19) # label(axiom). [clausify(20)].
% 0.41/0.98 46 -ca_Cx7xcomp(A) | cc(A) # label(axiom_18) # label(axiom). [clausify(19)].
% 0.41/0.98 47 -ca_Cx7xcomp(A) | ca(A) # label(axiom_18) # label(axiom). [clausify(19)].
% 0.41/0.98 50 ca_Cx8(A) | ra_Px8(A,f13(A)) # label(axiom_20) # label(axiom). [clausify(21)].
% 0.41/0.98 52 cUnsatisfiablexcomp(A) | -ca_Cx7(A) | -ca_Cx8(A) | ra_Px6(A,f9(A)). [resolve(43,d,41,a)].
% 0.41/0.98 55 -cUnsatisfiablexcomp(A) | ra_Px5(A,f2(A)) # label(axiom_4) # label(axiom). [clausify(5)].
% 0.41/0.98 58 cUnsatisfiablexcomp(A) | -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)). [resolve(52,c,50,a)].
% 0.41/0.98 59 -ca_Cx6xcomp(A) | ca(A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.41/0.98 60 -ca(A) | ca_Cx1(A) # label(axiom_5) # label(axiom). [clausify(6)].
% 0.41/0.98 62 ca(A) | ra_Px7(A,f12(A)). [resolve(47,a,45,a)].
% 0.41/0.98 64 ca_Cx6xcomp(A) | -ra_Px6(A,B) # label(axiom_16) # label(axiom). [clausify(17)].
% 0.41/0.98 65 -ca_Cx6xcomp(A) | cb(A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.41/0.98 67 -ca_Cx6xcomp(A) | ca_Cx1(A). [resolve(59,b,60,a)].
% 0.41/0.98 70 ca_Cx8xcomp(A) | -ra_Px8(A,B) # label(axiom_21) # label(axiom). [clausify(22)].
% 0.41/0.98 71 -ca_Cx8xcomp(A) | cc(A) # label(axiom_22) # label(axiom). [clausify(23)].
% 0.41/0.98 72 -ca_Cx8xcomp(A) | cb(A) # label(axiom_22) # label(axiom). [clausify(23)].
% 0.41/0.98 75 -cb(A) | ra_Px3(A,f3(A)) # label(axiom_6) # label(axiom). [clausify(7)].
% 0.41/0.98 77 -cb(A) | -ra_Px2(A,B). [resolve(35,b,33,a)].
% 0.41/0.98 79 -ra_Px6(A,B) | cb(A). [resolve(64,a,65,a)].
% 0.41/0.98 82 -ra_Px8(A,B) | cb(A). [resolve(70,a,72,a)].
% 0.41/0.98 84 -cc(A) | ra_Px2(A,f5(A)) # label(axiom_9) # label(axiom). [clausify(10)].
% 0.41/0.98 86 cc(A) | ra_Px7(A,f12(A)). [resolve(46,a,45,a)].
% 0.41/0.98 89 -ra_Px8(A,B) | cc(A). [resolve(70,a,71,a)].
% 0.41/0.98 95 -ca_Cx1(A) | -ra_Px3(A,B). [resolve(31,b,29,a)].
% 0.41/0.98 96 -ca_Cx1(A) | -ra_Px2(A,B). [resolve(36,b,33,a)].
% 0.41/0.98 98 ra_Px7(A,f12(A)) | ca_Cx1(A). [resolve(62,a,60,a)].
% 0.41/0.98 99 ca_Cx1(A) | -ra_Px6(A,B). [resolve(67,a,64,a)].
% 0.41/0.98 106 ca_Cx7(A) | -ra_Px7(A,B) # label(axiom_17) # label(axiom). [clausify(18)].
% 0.41/0.98 108 -ca_Cx7(A) | ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | ra_Px5(A,f2(A)). [resolve(58,a,55,a)].
% 0.41/0.98 111 -ra_Px5(i2003_11_14_17_20_50869,A). [resolve(24,a,25,a)].
% 0.41/0.98 126 -ra_Px6(A,B) | ra_Px3(A,f3(A)). [resolve(79,b,75,a)].
% 0.41/0.98 130 -ra_Px8(A,B) | -ra_Px2(A,C). [resolve(82,b,77,a)].
% 0.41/0.98 133 ra_Px7(A,f12(A)) | ra_Px2(A,f5(A)). [resolve(86,a,84,a)].
% 0.41/0.98 135 -ra_Px8(A,B) | ra_Px2(A,f5(A)). [resolve(89,b,84,a)].
% 0.41/0.98 145 ra_Px7(A,f12(A)) | -ra_Px2(A,B). [resolve(98,b,96,a)].
% 0.41/0.98 147 -ra_Px6(A,B) | -ra_Px3(A,C). [resolve(99,a,95,a)].
% 0.41/0.98 151 ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | ra_Px5(A,f2(A)) | -ra_Px7(A,B). [resolve(108,a,106,a)].
% 0.41/0.98 157 ra_Px7(A,f12(A)). [resolve(145,b,133,b),merge(b)].
% 0.41/0.98 158 ra_Px6(A,f9(A)) | ra_Px8(A,f13(A)) | ra_Px5(A,f2(A)). [resolve(157,a,151,d)].
% 0.41/0.98 161 ra_Px6(i2003_11_14_17_20_50869,f9(i2003_11_14_17_20_50869)) | ra_Px8(i2003_11_14_17_20_50869,f13(i2003_11_14_17_20_50869)). [resolve(158,c,111,a)].
% 0.41/0.98 162 ra_Px8(i2003_11_14_17_20_50869,f13(i2003_11_14_17_20_50869)) | -ra_Px3(i2003_11_14_17_20_50869,A). [resolve(161,a,147,a)].
% 0.41/0.98 164 ra_Px8(i2003_11_14_17_20_50869,f13(i2003_11_14_17_20_50869)) | ra_Px3(i2003_11_14_17_20_50869,f3(i2003_11_14_17_20_50869)). [resolve(161,a,126,a)].
% 0.41/0.98 168 ra_Px8(i2003_11_14_17_20_50869,f13(i2003_11_14_17_20_50869)). [resolve(164,b,162,b),merge(b)].
% 0.41/0.98 170 ra_Px2(i2003_11_14_17_20_50869,f5(i2003_11_14_17_20_50869)). [resolve(168,a,135,a)].
% 0.41/0.98 174 -ra_Px2(i2003_11_14_17_20_50869,A). [ur(130,a,168,a)].
% 0.41/0.98 175 $F. [resolve(174,a,170,a)].
% 0.41/0.98
% 0.41/0.98 % SZS output end Refutation
% 0.41/0.98 ============================== end of proof ==========================
% 0.41/0.98
% 0.41/0.98 ============================== STATISTICS ============================
% 0.41/0.98
% 0.41/0.98 Given=48. Generated=113. Kept=63. proofs=1.
% 0.41/0.98 Usable=34. Sos=0. Demods=0. Limbo=5, Disabled=172. Hints=0.
% 0.41/0.98 Megabytes=0.14.
% 0.41/0.98 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.41/0.98
% 0.41/0.98 ============================== end of statistics =====================
% 0.41/0.98
% 0.41/0.98 ============================== end of search =========================
% 0.41/0.98
% 0.41/0.98 THEOREM PROVED
% 0.41/0.98 % SZS status Unsatisfiable
% 0.41/0.98
% 0.41/0.98 Exiting with 1 proof.
% 0.41/0.98
% 0.41/0.98 Process 3075 exit (max_proofs) Tue Jun 7 08:35:48 2022
% 0.41/0.98 Prover9 interrupted
%------------------------------------------------------------------------------