0.11/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.36 % Computer : n017.cluster.edu 0.12/0.36 % Model : x86_64 x86_64 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.36 % Memory : 8042.1875MB 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.36 % CPULimit : 180 0.12/0.36 % DateTime : Thu Aug 29 10:18:03 EDT 2019 0.12/0.36 % CPUTime : 0.77/1.62 ============================== Prover9 =============================== 0.77/1.62 Prover9 (32) version 2009-11A, November 2009. 0.77/1.62 Process 26809 was started by sandbox on n017.cluster.edu, 0.77/1.62 Thu Aug 29 10:18:05 2019 0.77/1.62 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_26656_n017.cluster.edu". 0.77/1.62 ============================== end of head =========================== 0.77/1.62 0.77/1.62 ============================== INPUT ================================= 0.77/1.62 0.77/1.62 % Reading from file /tmp/Prover9_26656_n017.cluster.edu 0.77/1.62 0.77/1.62 set(prolog_style_variables). 0.77/1.62 set(auto2). 0.77/1.62 % set(auto2) -> set(auto). 0.77/1.62 % set(auto) -> set(auto_inference). 0.77/1.62 % set(auto) -> set(auto_setup). 0.77/1.62 % set(auto_setup) -> set(predicate_elim). 0.77/1.62 % set(auto_setup) -> assign(eq_defs, unfold). 0.77/1.62 % set(auto) -> set(auto_limits). 0.77/1.62 % set(auto_limits) -> assign(max_weight, "100.000"). 0.77/1.62 % set(auto_limits) -> assign(sos_limit, 20000). 0.77/1.62 % set(auto) -> set(auto_denials). 0.77/1.62 % set(auto) -> set(auto_process). 0.77/1.62 % set(auto2) -> assign(new_constants, 1). 0.77/1.62 % set(auto2) -> assign(fold_denial_max, 3). 0.77/1.62 % set(auto2) -> assign(max_weight, "200.000"). 0.77/1.62 % set(auto2) -> assign(max_hours, 1). 0.77/1.62 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.77/1.62 % set(auto2) -> assign(max_seconds, 0). 0.77/1.62 % set(auto2) -> assign(max_minutes, 5). 0.77/1.62 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.77/1.62 % set(auto2) -> set(sort_initial_sos). 0.77/1.62 % set(auto2) -> assign(sos_limit, -1). 0.77/1.62 % set(auto2) -> assign(lrs_ticks, 3000). 0.77/1.62 % set(auto2) -> assign(max_megs, 400). 0.77/1.62 % set(auto2) -> assign(stats, some). 0.77/1.62 % set(auto2) -> clear(echo_input). 0.77/1.62 % set(auto2) -> set(quiet). 0.77/1.62 % set(auto2) -> clear(print_initial_clauses). 0.77/1.62 % set(auto2) -> clear(print_given). 0.77/1.62 assign(lrs_ticks,-1). 0.77/1.62 assign(sos_limit,10000). 0.77/1.62 assign(order,kbo). 0.77/1.62 set(lex_order_vars). 0.77/1.62 clear(print_given). 0.77/1.62 0.77/1.62 % formulas(sos). % not echoed (12 formulas) 0.77/1.62 0.77/1.62 ============================== end of input ========================== 0.77/1.62 0.77/1.62 % From the command line: assign(max_seconds, 180). 0.77/1.62 0.77/1.62 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.77/1.62 0.77/1.62 % Formulas that are not ordinary clauses: 0.77/1.62 1 (all X1 all X8 exists Y4 ((exists Y7 (r2(Y7,Y4) & r3(X1,X8,Y7))) & (exists Y5 ((exists Y15 (r2(X8,Y15) & r3(X1,Y15,Y5))) & Y4 = Y5)))) # label(axiom_1a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 2 (all X16 all X17 exists Y23 all X18 (Y23 = X18 & r4(X16,X17,X18) | -r4(X16,X17,X18) & Y23 != X18)) # label(axiom_4) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 3 (all X6 ((exists Y1 exists Y11 (X6 = Y11 & r2(Y1,Y11))) | (exists Y19 (X6 = Y19 & r1(Y19))))) # label(axiom_6a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 4 (all X2 all X9 exists Y2 ((exists Y6 (r4(X2,X9,Y6) & r3(Y6,X2,Y2))) & (exists Y3 (Y2 = Y3 & (exists Y14 (r2(X9,Y14) & r4(X2,Y14,Y3))))))) # label(axiom_2a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 5 (all X11 exists Y21 all X12 (-r2(X11,X12) & Y21 != X12 | X12 = Y21 & r2(X11,X12))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 6 (all X13 all X14 exists Y22 all X15 (r3(X13,X14,X15) & Y22 = X15 | -r3(X13,X14,X15) & X15 != Y22)) # label(axiom_3) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 7 (all X3 all X10 (X3 = X10 | (all Y12 ((all Y13 (Y13 != Y12 | -r2(X3,Y13))) | -r2(X10,Y12))))) # label(axiom_3a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 8 (exists Y24 all X19 (Y24 = X19 & r1(X19) | -r1(X19) & X19 != Y24)) # label(axiom_1) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 9 (all X7 all Y10 (-r2(X7,Y10) | (all Y20 (Y10 != Y20 | -r1(Y20))))) # label(axiom_7a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 10 (all X5 exists Y8 ((exists Y17 (r4(X5,Y17,Y8) & r1(Y17))) & (exists Y18 (r1(Y18) & Y8 = Y18)))) # label(axiom_5a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 11 (all X4 exists Y9 (Y9 = X4 & (exists Y16 (r3(X4,Y16,Y9) & r1(Y16))))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.62 12 -(exists Y1 exists Y2 exists Y3 ((exists Y4 ((exists Y5 (r2(Y5,Y4) & (exists Y6 (r2(Y6,Y5) & r1(Y6))))) & Y3 = Y4)) & r4(Y1,Y2,Y3))) # label(xtimesyeqtwo) # label(negated_conjecture) # label(non_clause). [assumption]. 0.77/1.62 0.77/1.62 ============================== end of process non-clausal formulas === 0.77/1.62 0.77/1.62 ============================== PROCESS INITIAL CLAUSES =============== 0.77/1.62 0.77/1.62 ============================== PREDICATE ELIMINATION ================= 0.77/1.62 13 -r2(A,B) | C != B | -r1(C) # label(axiom_7a) # label(axiom). [clausify(9)]. 0.77/1.62 14 r1(f16(A)) # label(axiom_5a) # label(axiom). [clausify(10)]. 0.77/1.62 15 r1(f17(A)) # label(axiom_5a) # label(axiom). [clausify(10)]. 0.77/1.62 16 r1(f19(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.77/1.62 17 f7(A) = A | r1(f8(A)) # label(axiom_6a) # label(axiom). [clausify(3)]. 0.77/1.62 18 r2(f6(A),f7(A)) | r1(f8(A)) # label(axiom_6a) # label(axiom). [clausify(3)]. 0.77/1.62 Derived: -r2(A,B) | f16(C) != B. [resolve(13,c,14,a)]. 0.77/1.62 Derived: -r2(A,B) | f17(C) != B. [resolve(13,c,15,a)]. 0.77/1.62 Derived: -r2(A,B) | f19(C) != B. [resolve(13,c,16,a)]. 0.77/1.62 Derived: -r2(A,B) | f8(C) != B | f7(C) = C. [resolve(13,c,17,b)]. 0.77/1.62 Derived: -r2(A,B) | f8(C) != B | r2(f6(C),f7(C)). [resolve(13,c,18,b)]. 0.77/1.62 19 -r2(A,B) | -r2(C,A) | -r1(C) | D != B | -r4(E,F,D) # label(xtimesyeqtwo) # label(negated_conjecture). [clausify(12)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f16(C),A) | D != B | -r4(E,F,D). [resolve(19,c,14,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f17(C),A) | D != B | -r4(E,F,D). [resolve(19,c,15,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f19(C),A) | D != B | -r4(E,F,D). [resolve(19,c,16,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f8(C),A) | D != B | -r4(E,F,D) | f7(C) = C. [resolve(19,c,17,b)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f8(C),A) | D != B | -r4(E,F,D) | r2(f6(C),f7(C)). [resolve(19,c,18,b)]. 0.77/1.62 20 A = c1 | -r1(A) # label(axiom_1) # label(axiom). [clausify(8)]. 0.77/1.62 Derived: f16(A) = c1. [resolve(20,b,14,a)]. 0.77/1.62 Derived: f17(A) = c1. [resolve(20,b,15,a)]. 0.77/1.62 Derived: f19(A) = c1. [resolve(20,b,16,a)]. 0.77/1.62 Derived: f8(A) = c1 | f7(A) = A. [resolve(20,b,17,b)]. 0.77/1.62 Derived: f8(A) = c1 | r2(f6(A),f7(A)). [resolve(20,b,18,b)]. 0.77/1.62 21 r1(A) | A != c1 # label(axiom_1) # label(axiom). [clausify(8)]. 0.77/1.62 Derived: A != c1 | -r2(B,C) | A != C. [resolve(21,a,13,c)]. 0.77/1.62 Derived: A != c1 | -r2(B,C) | -r2(A,B) | D != C | -r4(E,F,D). [resolve(21,a,19,c)]. 0.77/1.62 22 A = f14(B,C) | -r3(B,C,A) # label(axiom_3) # label(axiom). [clausify(6)]. 0.77/1.62 23 r3(A,B,f2(A,B)) # label(axiom_1a) # label(axiom). [clausify(1)]. 0.77/1.62 24 r3(A,f19(A),f18(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.77/1.62 25 r3(A,f4(A,B),f3(A,B)) # label(axiom_1a) # label(axiom). [clausify(1)]. 0.77/1.62 26 r3(f10(A,B),A,f9(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.77/1.62 27 r3(A,B,C) | C != f14(A,B) # label(axiom_3) # label(axiom). [clausify(6)]. 0.77/1.62 Derived: f2(A,B) = f14(A,B). [resolve(22,b,23,a)]. 0.77/1.62 Derived: f18(A) = f14(A,f19(A)). [resolve(22,b,24,a)]. 0.77/1.62 Derived: f3(A,B) = f14(A,f4(A,B)). [resolve(22,b,25,a)]. 0.77/1.62 Derived: f9(A,B) = f14(f10(A,B),A). [resolve(22,b,26,a)]. 0.77/1.62 28 A = f5(B,C) | -r4(B,C,A) # label(axiom_4) # label(axiom). [clausify(2)]. 0.77/1.62 29 r4(A,B,f10(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.77/1.62 30 r4(A,f16(A),f15(A)) # label(axiom_5a) # label(axiom). [clausify(10)]. 0.77/1.62 31 r4(A,f12(A,B),f11(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.77/1.62 Derived: f10(A,B) = f5(A,B). [resolve(28,b,29,a)]. 0.77/1.62 Derived: f15(A) = f5(A,f16(A)). [resolve(28,b,30,a)]. 0.77/1.62 Derived: f11(A,B) = f5(A,f12(A,B)). [resolve(28,b,31,a)]. 0.77/1.62 32 r4(A,B,C) | C != f5(A,B) # label(axiom_4) # label(axiom). [clausify(2)]. 0.77/1.62 33 -r2(A,B) | -r2(f16(C),A) | D != B | -r4(E,F,D). [resolve(19,c,14,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f16(C),A) | f10(D,E) != B. [resolve(33,d,29,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f16(C),A) | f15(D) != B. [resolve(33,d,30,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f16(C),A) | f11(D,E) != B. [resolve(33,d,31,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f16(C),A) | D != B | D != f5(E,F). [resolve(33,d,32,a)]. 0.77/1.62 34 -r2(A,B) | -r2(f17(C),A) | D != B | -r4(E,F,D). [resolve(19,c,15,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f17(C),A) | f10(D,E) != B. [resolve(34,d,29,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f17(C),A) | f15(D) != B. [resolve(34,d,30,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f17(C),A) | f11(D,E) != B. [resolve(34,d,31,a)]. 0.77/1.62 Derived: -r2(A,B) | -r2(f17(C),A) | D != B | D != f5(E,F). [resolve(34,d,32,a)]. 0.77/1.62 35 -r2(A,B) | -r2(f19(C),A) | D != B | -r4(E,F,D). [resolve(19,c,16,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f19(C),A) | f10(D,E) != B. [resolve(35,d,29,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f19(C),A) | f15(D) != B. [resolve(35,d,30,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f19(C),A) | f11(D,E) != B. [resolve(35,d,31,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f19(C),A) | D != B | D != f5(E,F). [resolve(35,d,32,a)]. 0.85/1.71 36 -r2(A,B) | -r2(f8(C),A) | D != B | -r4(E,F,D) | f7(C) = C. [resolve(19,c,17,b)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | f10(D,E) != B | f7(C) = C. [resolve(36,d,29,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | f15(D) != B | f7(C) = C. [resolve(36,d,30,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | f11(D,E) != B | f7(C) = C. [resolve(36,d,31,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | D != B | f7(C) = C | D != f5(E,F). [resolve(36,d,32,a)]. 0.85/1.71 37 -r2(A,B) | -r2(f8(C),A) | D != B | -r4(E,F,D) | r2(f6(C),f7(C)). [resolve(19,c,18,b)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | f10(D,E) != B | r2(f6(C),f7(C)). [resolve(37,d,29,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | f15(D) != B | r2(f6(C),f7(C)). [resolve(37,d,30,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | f11(D,E) != B | r2(f6(C),f7(C)). [resolve(37,d,31,a)]. 0.85/1.71 Derived: -r2(A,B) | -r2(f8(C),A) | D != B | r2(f6(C),f7(C)) | D != f5(E,F). [resolve(37,d,32,a)]. 0.85/1.71 38 A != c1 | -r2(B,C) | -r2(A,B) | D != C | -r4(E,F,D). [resolve(21,a,19,c)]. 0.85/1.71 Derived: A != c1 | -r2(B,C) | -r2(A,B) | f10(D,E) != C. [resolve(38,e,29,a)]. 0.85/1.71 Derived: A != c1 | -r2(B,C) | -r2(A,B) | f15(D) != C. [resolve(38,e,30,a)]. 0.85/1.71 Derived: A != c1 | -r2(B,C) | -r2(A,B) | f11(D,E) != C. [resolve(38,e,31,a)]. 0.85/1.71 Derived: A != c1 | -r2(B,C) | -r2(A,B) | D != C | D != f5(E,F). [resolve(38,e,32,a)]. 0.85/1.71 0.85/1.71 ============================== end predicate elimination ============= 0.85/1.71 0.85/1.71 Auto_denials: (non-Horn, no changes). 0.85/1.71 0.85/1.71 Term ordering decisions: 0.85/1.71 Function symbol KB weights: c1=1. f1=1. f2=1. f3=1. f4=1. f5=1. f9=1. f10=1. f11=1. f12=1. f14=1. f6=1. f7=1. f8=1. f13=1. f15=1. f16=1. f17=1. f18=1. f19=1. 0.85/1.71 0.85/1.71 ============================== end of process initial clauses ======== 0.85/1.71 0.85/1.71 ============================== CLAUSES FOR SEARCH ==================== 0.85/1.71 0.85/1.71 ============================== end of clauses for search ============= 0.85/1.71 0.85/1.71 ============================== SEARCH ================================ 0.85/1.71 0.85/1.71 % Starting search at 0.02 seconds. 0.85/1.71 0.85/1.71 ============================== PROOF ================================= 0.85/1.71 % SZS status Theorem 0.85/1.71 % SZS output start Refutation 0.85/1.71 0.85/1.71 % Proof 1 at 0.09 (+ 0.01) seconds. 0.85/1.71 % Length of proof is 64. 0.85/1.71 % Level of proof is 8. 0.85/1.71 % Maximum clause weight is 17.000. 0.85/1.71 % Given clauses 78. 0.85/1.71 0.85/1.71 1 (all X1 all X8 exists Y4 ((exists Y7 (r2(Y7,Y4) & r3(X1,X8,Y7))) & (exists Y5 ((exists Y15 (r2(X8,Y15) & r3(X1,Y15,Y5))) & Y4 = Y5)))) # label(axiom_1a) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 2 (all X16 all X17 exists Y23 all X18 (Y23 = X18 & r4(X16,X17,X18) | -r4(X16,X17,X18) & Y23 != X18)) # label(axiom_4) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 4 (all X2 all X9 exists Y2 ((exists Y6 (r4(X2,X9,Y6) & r3(Y6,X2,Y2))) & (exists Y3 (Y2 = Y3 & (exists Y14 (r2(X9,Y14) & r4(X2,Y14,Y3))))))) # label(axiom_2a) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 5 (all X11 exists Y21 all X12 (-r2(X11,X12) & Y21 != X12 | X12 = Y21 & r2(X11,X12))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 6 (all X13 all X14 exists Y22 all X15 (r3(X13,X14,X15) & Y22 = X15 | -r3(X13,X14,X15) & X15 != Y22)) # label(axiom_3) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 8 (exists Y24 all X19 (Y24 = X19 & r1(X19) | -r1(X19) & X19 != Y24)) # label(axiom_1) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 10 (all X5 exists Y8 ((exists Y17 (r4(X5,Y17,Y8) & r1(Y17))) & (exists Y18 (r1(Y18) & Y8 = Y18)))) # label(axiom_5a) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 11 (all X4 exists Y9 (Y9 = X4 & (exists Y16 (r3(X4,Y16,Y9) & r1(Y16))))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.85/1.71 12 -(exists Y1 exists Y2 exists Y3 ((exists Y4 ((exists Y5 (r2(Y5,Y4) & (exists Y6 (r2(Y6,Y5) & r1(Y6))))) & Y3 = Y4)) & r4(Y1,Y2,Y3))) # label(xtimesyeqtwo) # label(negated_conjecture) # label(non_clause). [assumption]. 0.85/1.71 14 r1(f16(A)) # label(axiom_5a) # label(axiom). [clausify(10)]. 0.85/1.71 15 r1(f17(A)) # label(axiom_5a) # label(axiom). [clausify(10)]. 0.85/1.71 16 r1(f19(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.85/1.71 19 -r2(A,B) | -r2(C,A) | -r1(C) | D != B | -r4(E,F,D) # label(xtimesyeqtwo) # label(negated_conjecture). [clausify(12)]. 0.85/1.71 20 A = c1 | -r1(A) # label(axiom_1) # label(axiom). [clausify(8)]. 0.85/1.71 21 r1(A) | A != c1 # label(axiom_1) # label(axiom). [clausify(8)]. 0.85/1.71 22 A = f14(B,C) | -r3(B,C,A) # label(axiom_3) # label(axiom). [clausify(6)]. 0.85/1.71 23 r3(A,B,f2(A,B)) # label(axiom_1a) # label(axiom). [clausify(1)]. 0.85/1.71 24 r3(A,f19(A),f18(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.85/1.71 25 r3(A,f4(A,B),f3(A,B)) # label(axiom_1a) # label(axiom). [clausify(1)]. 0.85/1.71 26 r3(f10(A,B),A,f9(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.85/1.71 28 A = f5(B,C) | -r4(B,C,A) # label(axiom_4) # label(axiom). [clausify(2)]. 0.85/1.71 29 r4(A,B,f10(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.85/1.71 30 r4(A,f16(A),f15(A)) # label(axiom_5a) # label(axiom). [clausify(10)]. 0.85/1.71 31 r4(A,f12(A,B),f11(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.85/1.71 32 r4(A,B,C) | C != f5(A,B) # label(axiom_4) # label(axiom). [clausify(2)]. 0.85/1.71 38 A != c1 | -r2(B,C) | -r2(A,B) | D != C | -r4(E,F,D). [resolve(21,a,19,c)]. 0.85/1.71 39 f18(A) = A # label(axiom_4a) # label(axiom). [clausify(11)]. 0.85/1.71 40 r2(A,f4(B,A)) # label(axiom_1a) # label(axiom). [clausify(1)]. 0.85/1.71 41 r2(A,f12(B,A)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.85/1.71 42 f17(A) = f15(A) # label(axiom_5a) # label(axiom). [clausify(10)]. 0.85/1.71 43 r2(f2(A,B),f1(A,B)) # label(axiom_1a) # label(axiom). [clausify(1)]. 0.85/1.71 44 f3(A,B) = f1(A,B) # label(axiom_1a) # label(axiom). [clausify(1)]. 0.85/1.71 45 f11(A,B) = f9(A,B) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.85/1.71 48 -r2(A,B) | B = f13(A) # label(axiom_2) # label(axiom). [clausify(5)]. 0.85/1.71 49 -r2(A,B) | f13(A) = B. [copy(48),flip(b)]. 0.85/1.71 59 f16(A) = c1. [resolve(20,b,14,a)]. 0.85/1.71 60 f17(A) = c1. [resolve(20,b,15,a)]. 0.85/1.71 61 f15(A) = c1. [copy(60),rewrite([42(1)])]. 0.85/1.71 62 f19(A) = c1. [resolve(20,b,16,a)]. 0.85/1.71 67 f2(A,B) = f14(A,B). [resolve(22,b,23,a)]. 0.85/1.71 68 f18(A) = f14(A,f19(A)). [resolve(22,b,24,a)]. 0.85/1.71 69 f14(A,c1) = A. [copy(68),rewrite([39(1),62(1)]),flip(a)]. 0.85/1.71 70 f3(A,B) = f14(A,f4(A,B)). [resolve(22,b,25,a)]. 0.85/1.71 71 f14(A,f4(A,B)) = f1(A,B). [copy(70),rewrite([44(1)]),flip(a)]. 0.85/1.71 72 f9(A,B) = f14(f10(A,B),A). [resolve(22,b,26,a)]. 0.85/1.71 73 f10(A,B) = f5(A,B). [resolve(28,b,29,a)]. 0.85/1.71 74 f15(A) = f5(A,f16(A)). [resolve(28,b,30,a)]. 0.85/1.71 75 f5(A,c1) = c1. [copy(74),rewrite([61(1),59(2)]),flip(a)]. 0.85/1.71 76 f11(A,B) = f5(A,f12(A,B)). [resolve(28,b,31,a)]. 0.85/1.71 77 f14(f5(A,B),A) = f5(A,f12(A,B)). [copy(76),rewrite([45(1),72(1),73(1)])]. 0.85/1.71 112 A != c1 | -r2(B,C) | -r2(A,B) | D != C | D != f5(E,F). [resolve(38,e,32,a)]. 0.85/1.71 113 c1 != A | -r2(B,C) | -r2(A,B) | D != C | f5(E,F) != D. [copy(112),flip(a),flip(e)]. 0.85/1.71 117 r2(f14(A,B),f1(A,B)). [back_rewrite(43),rewrite([67(1)])]. 0.85/1.71 132 f12(A,B) = f13(B). [resolve(49,a,41,a),flip(a)]. 0.85/1.71 133 f4(A,B) = f13(B). [resolve(49,a,40,a),flip(a)]. 0.85/1.71 136 f14(f5(A,B),A) = f5(A,f13(B)). [back_rewrite(77),rewrite([132(3)])]. 0.85/1.71 137 r2(A,f13(A)). [back_rewrite(41),rewrite([132(1)])]. 0.85/1.71 138 f14(A,f13(B)) = f1(A,B). [back_rewrite(71),rewrite([133(1)])]. 0.85/1.71 198 r2(A,f1(A,c1)). [para(69(a,1),117(a,1))]. 0.85/1.71 265 f1(A,c1) = f13(A). [resolve(198,a,49,a),flip(a)]. 0.85/1.71 313 r2(f1(A,B),f1(A,f13(B))). [para(138(a,1),117(a,1))]. 0.85/1.71 351 r2(f13(A),f1(A,f13(c1))). [para(265(a,1),313(a,1))]. 0.85/1.71 363 f5(f13(f13(c1)),A) != c1. [ur(113,b,351,a,c,137,a,d,138,a,e,136,a(flip)),flip(a)]. 0.85/1.71 364 $F. [resolve(363,a,75,a)]. 0.85/1.71 0.85/1.71 % SZS output end Refutation 0.85/1.71 ============================== end of proof ========================== 0.85/1.71 0.85/1.71 ============================== STATISTICS ============================ 0.85/1.71 0.85/1.71 Given=78. Generated=3203. Kept=292. proofs=1. 0.85/1.71 Usable=71. Sos=133. Demods=27. Limbo=10, Disabled=157. Hints=0. 0.85/1.71 Megabytes=0.32. 0.85/1.71 User_CPU=0.09, System_CPU=0.01, Wall_clock=0. 0.85/1.71 0.85/1.71 ============================== end of statistics ===================== 0.85/1.71 0.85/1.71 ============================== end of search ========================= 0.85/1.71 0.85/1.71 THEOREM PROVED 0.85/1.71 % SZS status Theorem 0.85/1.71 0.85/1.71 Exiting with 1 proof. 0.85/1.71 0.85/1.71 Process 26809 exit (max_proofs) Thu Aug 29 10:18:05 2019 0.85/1.71 Prover9 interrupted 0.85/1.71 EOF