TSTP Solution File: KRS116+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 03:25:01 EDT 2022
% Result : Unsatisfiable 0.55s 0.96s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Tue Jun 7 17:34:06 EDT 2022
% 0.10/0.28 % CPUTime :
% 0.51/0.81 ============================== Prover9 ===============================
% 0.51/0.81 Prover9 (32) version 2009-11A, November 2009.
% 0.51/0.81 Process 2068 was started by sandbox2 on n032.cluster.edu,
% 0.51/0.81 Tue Jun 7 17:34:06 2022
% 0.51/0.81 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1913_n032.cluster.edu".
% 0.51/0.81 ============================== end of head ===========================
% 0.51/0.81
% 0.51/0.81 ============================== INPUT =================================
% 0.51/0.81
% 0.51/0.81 % Reading from file /tmp/Prover9_1913_n032.cluster.edu
% 0.51/0.81
% 0.51/0.81 set(prolog_style_variables).
% 0.51/0.81 set(auto2).
% 0.51/0.81 % set(auto2) -> set(auto).
% 0.51/0.81 % set(auto) -> set(auto_inference).
% 0.51/0.81 % set(auto) -> set(auto_setup).
% 0.51/0.81 % set(auto_setup) -> set(predicate_elim).
% 0.51/0.81 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.51/0.81 % set(auto) -> set(auto_limits).
% 0.51/0.81 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.51/0.81 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.51/0.81 % set(auto) -> set(auto_denials).
% 0.51/0.81 % set(auto) -> set(auto_process).
% 0.51/0.81 % set(auto2) -> assign(new_constants, 1).
% 0.51/0.81 % set(auto2) -> assign(fold_denial_max, 3).
% 0.51/0.81 % set(auto2) -> assign(max_weight, "200.000").
% 0.51/0.81 % set(auto2) -> assign(max_hours, 1).
% 0.51/0.81 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.51/0.81 % set(auto2) -> assign(max_seconds, 0).
% 0.51/0.81 % set(auto2) -> assign(max_minutes, 5).
% 0.51/0.81 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.51/0.81 % set(auto2) -> set(sort_initial_sos).
% 0.51/0.81 % set(auto2) -> assign(sos_limit, -1).
% 0.51/0.81 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.51/0.81 % set(auto2) -> assign(max_megs, 400).
% 0.51/0.81 % set(auto2) -> assign(stats, some).
% 0.51/0.81 % set(auto2) -> clear(echo_input).
% 0.51/0.81 % set(auto2) -> set(quiet).
% 0.51/0.81 % set(auto2) -> clear(print_initial_clauses).
% 0.51/0.81 % set(auto2) -> clear(print_given).
% 0.51/0.81 assign(lrs_ticks,-1).
% 0.51/0.81 assign(sos_limit,10000).
% 0.51/0.81 assign(order,kbo).
% 0.51/0.81 set(lex_order_vars).
% 0.51/0.81 clear(print_given).
% 0.51/0.81
% 0.51/0.81 % formulas(sos). % not echoed (18 formulas)
% 0.51/0.81
% 0.51/0.81 ============================== end of input ==========================
% 0.51/0.81
% 0.51/0.81 % From the command line: assign(max_seconds, 300).
% 0.51/0.81
% 0.51/0.81 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.51/0.81
% 0.51/0.81 % Formulas that are not ordinary clauses:
% 0.51/0.81 1 (all X (cowlThing(X) & -cowlNothing(X))) # label(axiom_0) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 2 (all X (xsd_string(X) <-> -xsd_integer(X))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 3 (all X (cUnsatisfiable(X) -> ca(X))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 4 (all X (cUnsatisfiable(X) -> (exists Y (rs(X,Y) & ca_Ax2(Y))))) # label(axiom_3) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 5 (all X (ca(X) <-> -(exists Y ra_Px1(X,Y)))) # label(axiom_4) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 6 (all X (caxcomp(X) <-> (exists Y0 ra_Px1(X,Y0)))) # label(axiom_5) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 7 (all X (cc(X) <-> (all Y (rinvR(X,Y) -> ca_Vx7(Y))))) # label(axiom_6) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 8 (all X (ca_Ax2(X) <-> (all Y (rp(X,Y) -> ca_Vx3(Y))) & (all Y (rp(X,Y) -> ca_Vx5(Y))) & (all Y (rr(X,Y) -> cc(Y))) & (exists Y (rr(X,Y) & cowlThing(Y))) & (exists Y (rp(X,Y) & cowlThing(Y))) & (all Y (rp(X,Y) -> ca_Vx4(Y))))) # label(axiom_7) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 9 (all X (ca_Vx3(X) <-> (exists Y (rr(X,Y) & cowlThing(Y))))) # label(axiom_8) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 10 (all X (ca_Vx4(X) <-> (exists Y (rp(X,Y) & cowlThing(Y))))) # label(axiom_9) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 11 (all X (ca_Vx5(X) <-> (all Y (rr(X,Y) -> cc(Y))))) # label(axiom_10) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 12 (all X (ca_Vx6(X) <-> (all Y (rinvS(X,Y) -> caxcomp(Y))))) # label(axiom_11) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 13 (all X (ca_Vx7(X) <-> (all Y (rinvP(X,Y) -> ca_Vx6(Y))))) # label(axiom_12) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 14 (all X all Y (rinvP(X,Y) <-> rp(Y,X))) # label(axiom_13) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 15 (all X all Y (rinvR(X,Y) <-> rr(Y,X))) # label(axiom_14) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 16 (all X all Y (rinvS(X,Y) <-> rs(Y,X))) # label(axiom_15) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81 17 (all X all Y all Z (rp(X,Y) & rp(Y,Z) -> rp(X,Z))) # label(axiom_16) # label(axiom) # label(non_clause). [assumption].
% 0.51/0.81
% 0.51/0.81 ============================== end of process non-clausal formulas ===
% 0.51/0.81
% 0.51/0.81 ============================== PROCESS INITIAL CLAUSES ===============
% 0.51/0.81
% 0.51/0.81 ============================== PREDICATE ELIMINATION =================
% 0.51/0.81 18 -cUnsatisfiable(A) | ca(A) # label(axiom_2) # label(axiom). [clausify(3)].
% 0.51/0.81 19 cUnsatisfiable(i2003_11_14_17_21_33997) # label(axiom_17) # label(axiom). [assumption].
% 0.51/0.81 Derived: ca(i2003_11_14_17_21_33997). [resolve(18,a,19,a)].
% 0.51/0.81 20 -cUnsatisfiable(A) | ca_Ax2(f1(A)) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.51/0.81 Derived: ca_Ax2(f1(i2003_11_14_17_21_33997)). [resolve(20,a,19,a)].
% 0.51/0.81 21 -cUnsatisfiable(A) | rs(A,f1(A)) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.51/0.81 Derived: rs(i2003_11_14_17_21_33997,f1(i2003_11_14_17_21_33997)). [resolve(21,a,19,a)].
% 0.51/0.81 22 -xsd_string(A) | -xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.51/0.81 23 xsd_string(A) | xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.51/0.81 24 -ca(A) | -ra_Px1(A,B) # label(axiom_4) # label(axiom). [clausify(5)].
% 0.51/0.81 25 ca(A) | ra_Px1(A,f2(A)) # label(axiom_4) # label(axiom). [clausify(5)].
% 0.51/0.81 Derived: -ra_Px1(A,B) | ra_Px1(A,f2(A)). [resolve(24,a,25,a)].
% 0.51/0.81 26 ca(i2003_11_14_17_21_33997). [resolve(18,a,19,a)].
% 0.51/0.81 Derived: -ra_Px1(i2003_11_14_17_21_33997,A). [resolve(26,a,24,a)].
% 0.51/0.81 27 ca_Vx5(A) | -cc(f13(A)) # label(axiom_10) # label(axiom). [clausify(11)].
% 0.51/0.81 28 cc(A) | rinvR(A,f4(A)) # label(axiom_6) # label(axiom). [clausify(7)].
% 0.51/0.81 29 cc(A) | -ca_Vx7(f4(A)) # label(axiom_6) # label(axiom). [clausify(7)].
% 0.51/0.81 Derived: ca_Vx5(A) | rinvR(f13(A),f4(f13(A))). [resolve(27,b,28,a)].
% 0.51/0.81 Derived: ca_Vx5(A) | -ca_Vx7(f4(f13(A))). [resolve(27,b,29,a)].
% 0.51/0.81 30 -cc(A) | -rinvR(A,B) | ca_Vx7(B) # label(axiom_6) # label(axiom). [clausify(7)].
% 0.51/0.81 Derived: -rinvR(A,B) | ca_Vx7(B) | rinvR(A,f4(A)). [resolve(30,a,28,a)].
% 0.51/0.81 Derived: -rinvR(A,B) | ca_Vx7(B) | -ca_Vx7(f4(A)). [resolve(30,a,29,a)].
% 0.51/0.81 31 -ca_Ax2(A) | -rr(A,B) | cc(B) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: -ca_Ax2(A) | -rr(A,f13(B)) | ca_Vx5(B). [resolve(31,c,27,b)].
% 0.51/0.81 Derived: -ca_Ax2(A) | -rr(A,B) | -rinvR(B,C) | ca_Vx7(C). [resolve(31,c,30,a)].
% 0.51/0.81 32 -ca_Vx5(A) | -rr(A,B) | cc(B) # label(axiom_10) # label(axiom). [clausify(11)].
% 0.51/0.81 Derived: -ca_Vx5(A) | -rr(A,f13(B)) | ca_Vx5(B). [resolve(32,c,27,b)].
% 0.51/0.81 Derived: -ca_Vx5(A) | -rr(A,B) | -rinvR(B,C) | ca_Vx7(C). [resolve(32,c,30,a)].
% 0.51/0.81 33 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(33,d,28,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(33,d,29,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(33,d,31,c)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(33,d,32,c)].
% 0.51/0.81 34 ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(34,d,28,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(34,d,29,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(34,d,31,c)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(34,d,32,c)].
% 0.51/0.81 35 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(35,d,28,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(35,d,29,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(35,d,31,c)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(35,d,32,c)].
% 0.51/0.81 36 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(36,d,28,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(36,d,29,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(36,d,31,c)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(36,d,32,c)].
% 0.51/0.81 37 ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(37,d,28,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(37,d,29,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(37,d,31,c)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(37,d,32,c)].
% 0.51/0.81 38 ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(38,d,28,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(38,d,29,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(38,d,31,c)].
% 0.51/0.81 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(38,d,32,c)].
% 0.51/0.81 39 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(39,d,28,a)].
% 0.51/0.81 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(39,d,29,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(39,d,31,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(39,d,32,c)].
% 0.51/0.82 40 ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -cc(f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(40,d,28,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(40,d,29,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(40,d,31,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(40,d,32,c)].
% 0.51/0.82 41 ca_Vx7(A) | -ca_Vx6(f15(A)) # label(axiom_12) # label(axiom). [clausify(13)].
% 0.51/0.82 42 ca_Vx6(A) | rinvS(A,f14(A)) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.51/0.82 43 ca_Vx6(A) | -caxcomp(f14(A)) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.51/0.82 Derived: ca_Vx7(A) | rinvS(f15(A),f14(f15(A))). [resolve(41,b,42,a)].
% 0.51/0.82 Derived: ca_Vx7(A) | -caxcomp(f14(f15(A))). [resolve(41,b,43,a)].
% 0.51/0.82 44 -ca_Vx6(A) | -rinvS(A,B) | caxcomp(B) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.51/0.82 Derived: -rinvS(A,B) | caxcomp(B) | rinvS(A,f14(A)). [resolve(44,a,42,a)].
% 0.51/0.82 Derived: -rinvS(A,B) | caxcomp(B) | -caxcomp(f14(A)). [resolve(44,a,43,a)].
% 0.51/0.82 45 -ca_Vx7(A) | -rinvP(A,B) | ca_Vx6(B) # label(axiom_12) # label(axiom). [clausify(13)].
% 0.51/0.82 Derived: -ca_Vx7(A) | -rinvP(A,f15(B)) | ca_Vx7(B). [resolve(45,c,41,b)].
% 0.51/0.82 Derived: -ca_Vx7(A) | -rinvP(A,B) | -rinvS(B,C) | caxcomp(C). [resolve(45,c,44,a)].
% 0.51/0.82 46 -rinvP(A,B) | rp(B,A) # label(axiom_13) # label(axiom). [clausify(14)].
% 0.51/0.82 47 ca_Vx7(A) | rinvP(A,f15(A)) # label(axiom_12) # label(axiom). [clausify(13)].
% 0.51/0.82 Derived: rp(f15(A),A) | ca_Vx7(A). [resolve(46,a,47,b)].
% 0.51/0.82 48 rinvP(A,B) | -rp(B,A) # label(axiom_13) # label(axiom). [clausify(14)].
% 0.51/0.82 49 -ca_Vx7(A) | -rinvP(A,f15(B)) | ca_Vx7(B). [resolve(45,c,41,b)].
% 0.51/0.82 Derived: -ca_Vx7(A) | ca_Vx7(B) | -rp(f15(B),A). [resolve(49,b,48,a)].
% 0.51/0.82 50 -ca_Vx7(A) | -rinvP(A,B) | -rinvS(B,C) | caxcomp(C). [resolve(45,c,44,a)].
% 0.51/0.82 Derived: -ca_Vx7(A) | -rinvS(B,C) | caxcomp(C) | -rp(B,A). [resolve(50,b,48,a)].
% 0.51/0.82 51 -ca_Ax2(A) | -rp(A,B) | ca_Vx3(B) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 52 -ca_Vx3(A) | cowlThing(f11(A)) # label(axiom_8) # label(axiom). [clausify(9)].
% 0.51/0.82 53 -ca_Vx3(A) | rr(A,f11(A)) # label(axiom_8) # label(axiom). [clausify(9)].
% 0.51/0.82 Derived: -ca_Ax2(A) | -rp(A,B) | cowlThing(f11(B)). [resolve(51,c,52,a)].
% 0.51/0.82 Derived: -ca_Ax2(A) | -rp(A,B) | rr(B,f11(B)). [resolve(51,c,53,a)].
% 0.51/0.82 54 ca_Vx3(A) | -rr(A,B) | -cowlThing(B) # label(axiom_8) # label(axiom). [clausify(9)].
% 0.51/0.82 Derived: -rr(A,B) | -cowlThing(B) | cowlThing(f11(A)). [resolve(54,a,52,a)].
% 0.51/0.82 Derived: -rr(A,B) | -cowlThing(B) | rr(A,f11(A)). [resolve(54,a,53,a)].
% 0.51/0.82 55 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(55,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -rr(f7(A),D) | -cowlThing(D). [resolve(55,b,54,a)].
% 0.51/0.82 56 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(56,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -rr(f7(A),D) | -cowlThing(D). [resolve(56,b,54,a)].
% 0.51/0.82 57 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(57,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -rr(f7(A),D) | -cowlThing(D). [resolve(57,b,54,a)].
% 0.51/0.82 58 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(58,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -rr(f7(A),D) | -cowlThing(D). [resolve(58,b,54,a)].
% 0.51/0.82 59 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(33,d,28,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(59,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(59,b,54,a)].
% 0.51/0.82 60 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(33,d,29,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(60,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(60,b,54,a)].
% 0.51/0.82 61 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(33,d,31,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(61,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(61,b,54,a)].
% 0.51/0.82 62 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(33,d,32,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(62,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(62,b,54,a)].
% 0.51/0.82 63 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(35,d,28,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(63,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(63,b,54,a)].
% 0.51/0.82 64 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(35,d,29,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(64,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(64,b,54,a)].
% 0.51/0.82 65 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(35,d,31,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(65,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(65,b,54,a)].
% 0.51/0.82 66 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(35,d,32,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(66,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(66,b,54,a)].
% 0.51/0.82 67 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(36,d,28,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(67,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(67,b,54,a)].
% 0.51/0.82 68 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(36,d,29,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(68,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(68,b,54,a)].
% 0.51/0.82 69 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(36,d,31,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(69,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(69,b,54,a)].
% 0.51/0.82 70 ca_Ax2(A) | -ca_Vx3(f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(36,d,32,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(70,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(70,b,54,a)].
% 0.51/0.82 71 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(39,d,28,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(71,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(71,b,54,a)].
% 0.51/0.82 72 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(39,d,29,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(72,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(72,b,54,a)].
% 0.51/0.82 73 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(39,d,31,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(73,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(73,b,54,a)].
% 0.51/0.82 74 ca_Ax2(A) | -ca_Vx3(f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(39,d,32,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(74,b,51,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rp(A,f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(74,b,54,a)].
% 0.51/0.82 75 -ca_Ax2(A) | -rp(A,B) | ca_Vx4(B) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 76 -ca_Vx4(A) | cowlThing(f12(A)) # label(axiom_9) # label(axiom). [clausify(10)].
% 0.51/0.82 77 -ca_Vx4(A) | rp(A,f12(A)) # label(axiom_9) # label(axiom). [clausify(10)].
% 0.51/0.82 Derived: -ca_Ax2(A) | -rp(A,B) | cowlThing(f12(B)). [resolve(75,c,76,a)].
% 0.51/0.82 Derived: -ca_Ax2(A) | -rp(A,B) | rp(B,f12(B)). [resolve(75,c,77,a)].
% 0.51/0.82 78 ca_Vx4(A) | -rp(A,B) | -cowlThing(B) # label(axiom_9) # label(axiom). [clausify(10)].
% 0.51/0.82 Derived: -rp(A,B) | -cowlThing(B) | cowlThing(f12(A)). [resolve(78,a,76,a)].
% 0.51/0.82 Derived: -rp(A,B) | -cowlThing(B) | rp(A,f12(A)). [resolve(78,a,77,a)].
% 0.51/0.82 79 ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rp(D,f10(A)). [resolve(79,i,75,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -rp(f10(A),D) | -cowlThing(D). [resolve(79,i,78,a)].
% 0.51/0.82 80 ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rp(D,f10(A)). [resolve(80,i,75,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -rp(f10(A),D) | -cowlThing(D). [resolve(80,i,78,a)].
% 0.51/0.82 81 ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(34,d,28,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f10(A)). [resolve(81,h,75,c)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -rp(f10(A),D) | -cowlThing(D). [resolve(81,h,78,a)].
% 0.51/0.82 82 ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(34,d,29,a)].
% 0.51/0.82 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f10(A)). [resolve(82,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -rp(f10(A),D) | -cowlThing(D). [resolve(82,h,78,a)].
% 0.51/0.83 83 ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(34,d,31,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(83,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(83,h,78,a)].
% 0.51/0.83 84 ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(34,d,32,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(84,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(84,h,78,a)].
% 0.51/0.83 85 ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))). [resolve(37,d,28,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f10(A)). [resolve(85,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -rp(f10(A),D) | -cowlThing(D). [resolve(85,h,78,a)].
% 0.51/0.83 86 ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))). [resolve(37,d,29,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f10(A)). [resolve(86,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -rp(f10(A),D) | -cowlThing(D). [resolve(86,h,78,a)].
% 0.51/0.83 87 ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)). [resolve(37,d,31,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(87,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(87,h,78,a)].
% 0.51/0.83 88 ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)). [resolve(37,d,32,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(88,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f7(A)) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(88,h,78,a)].
% 0.51/0.83 89 ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(55,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rp(D,f7(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(89,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rp(D,f7(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(89,h,78,a)].
% 0.51/0.83 90 ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -rr(f7(A),D) | -cowlThing(D). [resolve(55,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -rr(f7(A),D) | -cowlThing(D) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(90,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -rr(f7(A),D) | -cowlThing(D) | -rp(f10(A),E) | -cowlThing(E). [resolve(90,h,78,a)].
% 0.51/0.83 91 ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(56,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rp(D,f7(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(91,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rp(D,f7(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(91,h,78,a)].
% 0.51/0.83 92 ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -rr(f7(A),D) | -cowlThing(D). [resolve(56,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -rr(f7(A),D) | -cowlThing(D) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(92,h,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | rr(A,f9(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -rr(f7(A),D) | -cowlThing(D) | -rp(f10(A),E) | -cowlThing(E). [resolve(92,h,78,a)].
% 0.51/0.83 93 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(59,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(93,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(93,g,78,a)].
% 0.51/0.83 94 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(59,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(94,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -rp(f10(A),E) | -cowlThing(E). [resolve(94,g,78,a)].
% 0.51/0.83 95 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(60,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(95,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(95,g,78,a)].
% 0.51/0.83 96 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(60,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(96,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -rp(f10(A),E) | -cowlThing(E). [resolve(96,g,78,a)].
% 0.51/0.83 97 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(61,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(97,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -rp(f10(A),F) | -cowlThing(F). [resolve(97,g,78,a)].
% 0.51/0.83 98 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(61,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(98,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -rp(f10(A),F) | -cowlThing(F). [resolve(98,g,78,a)].
% 0.51/0.83 99 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(62,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(99,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -rp(f10(A),F) | -cowlThing(F). [resolve(99,g,78,a)].
% 0.51/0.83 100 ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(62,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(100,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | -ca_Vx5(f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -rp(f10(A),F) | -cowlThing(F). [resolve(100,g,78,a)].
% 0.51/0.83 101 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(63,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(101,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(101,g,78,a)].
% 0.51/0.83 102 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(63,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(102,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | rinvR(f9(A),f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -rp(f10(A),E) | -cowlThing(E). [resolve(102,g,78,a)].
% 0.51/0.83 103 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)). [resolve(64,b,51,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(103,g,75,c)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -ca_Ax2(D) | -rp(D,f7(A)) | -rp(f10(A),E) | -cowlThing(E). [resolve(103,g,78,a)].
% 0.51/0.83 104 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D). [resolve(64,b,54,a)].
% 0.51/0.83 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -ca_Ax2(E) | -rp(E,f10(A)). [resolve(104,g,75,c)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx7(f4(f9(A))) | -rr(f7(A),D) | -cowlThing(D) | -rp(f10(A),E) | -cowlThing(E). [resolve(104,g,78,a)].
% 0.55/0.96 105 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(65,b,51,c)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(105,g,75,c)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -rp(f10(A),F) | -cowlThing(F). [resolve(105,g,78,a)].
% 0.55/0.96 106 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(65,b,54,a)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(106,g,75,c)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Ax2(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -rp(f10(A),F) | -cowlThing(F). [resolve(106,g,78,a)].
% 0.55/0.96 107 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)). [resolve(66,b,51,c)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(107,g,75,c)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -ca_Ax2(E) | -rp(E,f7(A)) | -rp(f10(A),F) | -cowlThing(F). [resolve(107,g,78,a)].
% 0.55/0.96 108 ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx4(f10(A)) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E). [resolve(66,b,54,a)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -ca_Ax2(F) | -rp(F,f10(A)). [resolve(108,g,75,c)].
% 0.55/0.96 Derived: ca_Ax2(A) | rp(A,f8(A)) | -rr(A,B) | -cowlThing(B) | -rp(A,C) | -cowlThing(C) | -ca_Vx5(D) | -rr(D,f9(A)) | -rr(f7(A),E) | -cowlThing(E) | -rp(f10(A),F) | -cowlThing(F). [resolve(108,g,78,a)].
% 0.55/0.96 109 rinvS(A,B) | -rs(B,A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.55/0.96 110 -rinvS(A,B) | rs(B,A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.55/0.96 111 rs(i2003_11_14_17_21_33997,f1(i2003_11_14_17_21_33997)). [resolve(21,a,19,a)].
% 0.55/0.96 Derived: rinvS(f1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997). [resolve(111,a,109,b)].
% 0.55/0.96
% 0.55/0.96 ============================== end predicate elimination =============
% 0.55/0.96
% 0.55/0.96 Auto_denials: (non-Horn, no changes).
% 0.55/0.96
% 0.55/0.96 Term ordering decisions:
% 0.55/0.96 Function symbol KB weights: i2003_11_14_17_21_33997=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. f15=1.
% 0.55/0.96
% 0.55/0.96 ============================== end of process initial clauses ========
% 0.55/0.96
% 0.55/0.96 ============================== CLAUSES FOR SEARCH ====================
% 0.55/0.96
% 0.55/0.96 ============================== end of clauses for search =============
% 0.55/0.96
% 0.55/0.96 ============================== SEARCH ================================
% 0.55/0.96
% 0.55/0.96 % Starting search at 0.04 seconds.
% 0.55/0.96
% 0.55/0.96 ============================== PROOF =================================
% 0.55/0.96 % SZS status Unsatisfiable
% 0.55/0.96 % SZS output start Refutation
% 0.55/0.96
% 0.55/0.96 % Proof 1 at 0.16 (+ 0.00) seconds.
% 0.55/0.96 % Length of proof is 49.
% 0.55/0.96 % Level of proof is 9.
% 0.55/0.96 % Maximum clause weight is 12.000.
% 0.55/0.96 % Given clauses 319.
% 0.55/0.96
% 0.55/0.96 3 (all X (cUnsatisfiable(X) -> ca(X))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 4 (all X (cUnsatisfiable(X) -> (exists Y (rs(X,Y) & ca_Ax2(Y))))) # label(axiom_3) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 5 (all X (ca(X) <-> -(exists Y ra_Px1(X,Y)))) # label(axiom_4) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 6 (all X (caxcomp(X) <-> (exists Y0 ra_Px1(X,Y0)))) # label(axiom_5) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 7 (all X (cc(X) <-> (all Y (rinvR(X,Y) -> ca_Vx7(Y))))) # label(axiom_6) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 8 (all X (ca_Ax2(X) <-> (all Y (rp(X,Y) -> ca_Vx3(Y))) & (all Y (rp(X,Y) -> ca_Vx5(Y))) & (all Y (rr(X,Y) -> cc(Y))) & (exists Y (rr(X,Y) & cowlThing(Y))) & (exists Y (rp(X,Y) & cowlThing(Y))) & (all Y (rp(X,Y) -> ca_Vx4(Y))))) # label(axiom_7) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 9 (all X (ca_Vx3(X) <-> (exists Y (rr(X,Y) & cowlThing(Y))))) # label(axiom_8) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 11 (all X (ca_Vx5(X) <-> (all Y (rr(X,Y) -> cc(Y))))) # label(axiom_10) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 12 (all X (ca_Vx6(X) <-> (all Y (rinvS(X,Y) -> caxcomp(Y))))) # label(axiom_11) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 13 (all X (ca_Vx7(X) <-> (all Y (rinvP(X,Y) -> ca_Vx6(Y))))) # label(axiom_12) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 14 (all X all Y (rinvP(X,Y) <-> rp(Y,X))) # label(axiom_13) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 15 (all X all Y (rinvR(X,Y) <-> rr(Y,X))) # label(axiom_14) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 16 (all X all Y (rinvS(X,Y) <-> rs(Y,X))) # label(axiom_15) # label(axiom) # label(non_clause). [assumption].
% 0.55/0.96 18 -cUnsatisfiable(A) | ca(A) # label(axiom_2) # label(axiom). [clausify(3)].
% 0.55/0.96 19 cUnsatisfiable(i2003_11_14_17_21_33997) # label(axiom_17) # label(axiom). [assumption].
% 0.55/0.96 20 -cUnsatisfiable(A) | ca_Ax2(f1(A)) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.55/0.96 21 -cUnsatisfiable(A) | rs(A,f1(A)) # label(axiom_3) # label(axiom). [clausify(4)].
% 0.55/0.96 24 -ca(A) | -ra_Px1(A,B) # label(axiom_4) # label(axiom). [clausify(5)].
% 0.55/0.96 26 ca(i2003_11_14_17_21_33997). [resolve(18,a,19,a)].
% 0.55/0.96 30 -cc(A) | -rinvR(A,B) | ca_Vx7(B) # label(axiom_6) # label(axiom). [clausify(7)].
% 0.55/0.96 32 -ca_Vx5(A) | -rr(A,B) | cc(B) # label(axiom_10) # label(axiom). [clausify(11)].
% 0.55/0.96 44 -ca_Vx6(A) | -rinvS(A,B) | caxcomp(B) # label(axiom_11) # label(axiom). [clausify(12)].
% 0.55/0.96 45 -ca_Vx7(A) | -rinvP(A,B) | ca_Vx6(B) # label(axiom_12) # label(axiom). [clausify(13)].
% 0.55/0.96 48 rinvP(A,B) | -rp(B,A) # label(axiom_13) # label(axiom). [clausify(14)].
% 0.55/0.96 50 -ca_Vx7(A) | -rinvP(A,B) | -rinvS(B,C) | caxcomp(C). [resolve(45,c,44,a)].
% 0.55/0.96 51 -ca_Ax2(A) | -rp(A,B) | ca_Vx3(B) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.55/0.96 53 -ca_Vx3(A) | rr(A,f11(A)) # label(axiom_8) # label(axiom). [clausify(9)].
% 0.55/0.96 109 rinvS(A,B) | -rs(B,A) # label(axiom_15) # label(axiom). [clausify(16)].
% 0.55/0.96 111 rs(i2003_11_14_17_21_33997,f1(i2003_11_14_17_21_33997)). [resolve(21,a,19,a)].
% 0.55/0.96 115 -caxcomp(A) | ra_Px1(A,f3(A)) # label(axiom_5) # label(axiom). [clausify(6)].
% 0.55/0.96 117 -ca_Ax2(A) | rp(A,f6(A)) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.55/0.96 119 rinvR(A,B) | -rr(B,A) # label(axiom_14) # label(axiom). [clausify(15)].
% 0.55/0.96 120 -ca_Ax2(A) | -rp(A,B) | ca_Vx5(B) # label(axiom_7) # label(axiom). [clausify(8)].
% 0.55/0.96 126 ca_Ax2(f1(i2003_11_14_17_21_33997)). [resolve(20,a,19,a)].
% 0.55/0.96 128 -ra_Px1(i2003_11_14_17_21_33997,A). [resolve(26,a,24,a)].
% 0.55/0.96 136 -ca_Vx5(A) | -rr(A,B) | -rinvR(B,C) | ca_Vx7(C). [resolve(32,c,30,a)].
% 0.55/0.96 159 -ca_Vx7(A) | -rinvS(B,C) | caxcomp(C) | -rp(B,A). [resolve(50,b,48,a)].
% 0.55/0.96 160 -ca_Ax2(A) | -rp(A,B) | rr(B,f11(B)). [resolve(51,c,53,a)].
% 0.55/0.96 328 rinvS(f1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997). [resolve(111,a,109,b)].
% 0.55/0.96 415 rp(f1(i2003_11_14_17_21_33997),f6(f1(i2003_11_14_17_21_33997))). [resolve(126,a,117,a)].
% 0.55/0.96 616 -ca_Vx7(A) | caxcomp(i2003_11_14_17_21_33997) | -rp(f1(i2003_11_14_17_21_33997),A). [resolve(328,a,159,b)].
% 0.55/0.96 622 rr(f6(f1(i2003_11_14_17_21_33997)),f11(f6(f1(i2003_11_14_17_21_33997)))). [resolve(415,a,160,b),unit_del(a,126)].
% 0.55/0.96 625 ca_Vx5(f6(f1(i2003_11_14_17_21_33997))). [resolve(415,a,120,b),unit_del(a,126)].
% 0.55/0.96 811 -ca_Vx7(f6(f1(i2003_11_14_17_21_33997))) | caxcomp(i2003_11_14_17_21_33997). [resolve(616,c,415,a)].
% 0.55/0.96 969 rinvR(f11(f6(f1(i2003_11_14_17_21_33997))),f6(f1(i2003_11_14_17_21_33997))). [resolve(622,a,119,b)].
% 0.55/0.96 1127 -ca_Vx5(A) | -rr(A,f11(f6(f1(i2003_11_14_17_21_33997)))) | ca_Vx7(f6(f1(i2003_11_14_17_21_33997))). [resolve(969,a,136,c)].
% 0.55/0.96 1711 ca_Vx7(f6(f1(i2003_11_14_17_21_33997))). [resolve(1127,b,622,a),unit_del(a,625)].
% 0.55/0.96 1712 caxcomp(i2003_11_14_17_21_33997). [back_unit_del(811),unit_del(a,1711)].
% 0.55/0.96 1713 $F. [resolve(1712,a,115,a),unit_del(a,128)].
% 0.55/0.96
% 0.55/0.96 % SZS output end Refutation
% 0.55/0.96 ============================== end of proof ==========================
% 0.55/0.96
% 0.55/0.96 ============================== STATISTICS ============================
% 0.55/0.96
% 0.55/0.96 Given=319. Generated=3905. Kept=1507. proofs=1.
% 0.55/0.96 Usable=305. Sos=1159. Demods=0. Limbo=0, Disabled=267. Hints=0.
% 0.55/0.96 Megabytes=2.68.
% 0.55/0.96 User_CPU=0.16, System_CPU=0.00, Wall_clock=0.
% 0.55/0.96
% 0.55/0.96 ============================== end of statistics =====================
% 0.55/0.96
% 0.55/0.96 ============================== end of search =========================
% 0.55/0.96
% 0.55/0.96 THEOREM PROVED
% 0.55/0.96 % SZS status Unsatisfiable
% 0.55/0.96
% 0.55/0.96 Exiting with 1 proof.
% 0.55/0.96
% 0.55/0.96 Process 2068 exit (max_proofs) Tue Jun 7 17:34:06 2022
% 0.55/0.96 Prover9 interrupted
%------------------------------------------------------------------------------