0.04/0.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.08 % Command : tptp2X_and_run_prover9 %d %s 0.06/0.27 % Computer : n013.cluster.edu 0.06/0.27 % Model : x86_64 x86_64 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.06/0.27 % Memory : 8042.1875MB 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64 0.06/0.28 % CPULimit : 960 0.06/0.28 % DateTime : Thu Jul 2 06:49:18 EDT 2020 0.06/0.28 % CPUTime : 0.57/0.88 ============================== Prover9 =============================== 0.57/0.88 Prover9 (32) version 2009-11A, November 2009. 0.57/0.88 Process 12281 was started by sandbox2 on n013.cluster.edu, 0.57/0.88 Thu Jul 2 06:49:19 2020 0.57/0.88 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_12121_n013.cluster.edu". 0.57/0.88 ============================== end of head =========================== 0.57/0.88 0.57/0.88 ============================== INPUT ================================= 0.57/0.88 0.57/0.88 % Reading from file /tmp/Prover9_12121_n013.cluster.edu 0.57/0.88 0.57/0.88 set(prolog_style_variables). 0.57/0.88 set(auto2). 0.57/0.88 % set(auto2) -> set(auto). 0.57/0.88 % set(auto) -> set(auto_inference). 0.57/0.88 % set(auto) -> set(auto_setup). 0.57/0.88 % set(auto_setup) -> set(predicate_elim). 0.57/0.88 % set(auto_setup) -> assign(eq_defs, unfold). 0.57/0.88 % set(auto) -> set(auto_limits). 0.57/0.88 % set(auto_limits) -> assign(max_weight, "100.000"). 0.57/0.88 % set(auto_limits) -> assign(sos_limit, 20000). 0.57/0.88 % set(auto) -> set(auto_denials). 0.57/0.88 % set(auto) -> set(auto_process). 0.57/0.88 % set(auto2) -> assign(new_constants, 1). 0.57/0.88 % set(auto2) -> assign(fold_denial_max, 3). 0.57/0.88 % set(auto2) -> assign(max_weight, "200.000"). 0.57/0.88 % set(auto2) -> assign(max_hours, 1). 0.57/0.88 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.57/0.88 % set(auto2) -> assign(max_seconds, 0). 0.57/0.88 % set(auto2) -> assign(max_minutes, 5). 0.57/0.88 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.57/0.88 % set(auto2) -> set(sort_initial_sos). 0.57/0.88 % set(auto2) -> assign(sos_limit, -1). 0.57/0.88 % set(auto2) -> assign(lrs_ticks, 3000). 0.57/0.88 % set(auto2) -> assign(max_megs, 400). 0.57/0.88 % set(auto2) -> assign(stats, some). 0.57/0.88 % set(auto2) -> clear(echo_input). 0.57/0.88 % set(auto2) -> set(quiet). 0.57/0.88 % set(auto2) -> clear(print_initial_clauses). 0.57/0.88 % set(auto2) -> clear(print_given). 0.57/0.88 assign(lrs_ticks,-1). 0.57/0.88 assign(sos_limit,10000). 0.57/0.88 assign(order,kbo). 0.57/0.88 set(lex_order_vars). 0.57/0.88 clear(print_given). 0.57/0.88 0.57/0.88 % formulas(sos). % not echoed (12 formulas) 0.57/0.88 0.57/0.88 ============================== end of input ========================== 0.57/0.88 0.57/0.88 % From the command line: assign(max_seconds, 960). 0.57/0.88 0.57/0.88 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.57/0.88 0.57/0.88 % Formulas that are not ordinary clauses: 0.57/0.88 1 (all X16 all X17 exists Y23 all X18 (r4(X16,X17,X18) & X18 = Y23 | -r4(X16,X17,X18) & Y23 != X18)) # label(axiom_4) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 2 (all X6 ((exists Y19 (X6 = Y19 & r1(Y19))) | (exists Y1 exists Y11 (Y11 = X6 & r2(Y1,Y11))))) # label(axiom_6a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 3 (all X11 exists Y21 all X12 (X12 = Y21 & r2(X11,X12) | -r2(X11,X12) & X12 != Y21)) # label(axiom_2) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 4 (all X2 all X9 exists Y2 ((exists Y6 (r4(X2,X9,Y6) & r3(Y6,X2,Y2))) & (exists Y3 (Y2 = Y3 & (exists Y14 (r4(X2,Y14,Y3) & r2(X9,Y14))))))) # label(axiom_2a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 5 (exists Y24 all X19 (r1(X19) & Y24 = X19 | Y24 != X19 & -r1(X19))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 6 (all X5 exists Y8 ((exists Y17 (r4(X5,Y17,Y8) & r1(Y17))) & (exists Y18 (Y18 = Y8 & r1(Y18))))) # label(axiom_5a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 7 (all X13 all X14 exists Y22 all X15 (-r3(X13,X14,X15) & X15 != Y22 | r3(X13,X14,X15) & Y22 = X15)) # label(axiom_3) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 8 (all X7 all Y10 (-r2(X7,Y10) | (all Y20 (Y10 != Y20 | -r1(Y20))))) # label(axiom_7a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 9 (all X1 all X8 exists Y4 ((exists Y5 ((exists Y15 (r3(X1,Y15,Y5) & r2(X8,Y15))) & Y4 = Y5)) & (exists Y7 (r3(X1,X8,Y7) & r2(Y7,Y4))))) # label(axiom_1a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 10 (all X3 all X10 (X10 = X3 | (all Y12 (-r2(X10,Y12) | (all Y13 (-r2(X3,Y13) | Y13 != Y12)))))) # label(axiom_3a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 11 (all X4 exists Y9 (X4 = Y9 & (exists Y16 (r3(X4,Y16,Y9) & r1(Y16))))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.88 12 -(exists Y1 exists Y2 exists Y3 (r3(Y1,Y2,Y3) & (exists Y4 (Y4 = Y3 & (exists Y5 ((exists Y6 ((exists Y7 (r1(Y7) & r2(Y7,Y6))) & r2(Y6,Y5))) & r2(Y5,Y4))))))) # label(xplusyeqthree) # label(negated_conjecture) # label(non_clause). [assumption]. 0.57/0.88 0.57/0.88 ============================== end of process non-clausal formulas === 0.57/0.88 0.57/0.88 ============================== PROCESS INITIAL CLAUSES =============== 0.57/0.88 0.57/0.88 ============================== PREDICATE ELIMINATION ================= 0.57/0.88 13 -r2(A,B) | C != B | -r1(C) # label(axiom_7a) # label(axiom). [clausify(8)]. 0.57/0.88 14 r1(f11(A)) # label(axiom_5a) # label(axiom). [clausify(6)]. 0.57/0.88 15 r1(f12(A)) # label(axiom_5a) # label(axiom). [clausify(6)]. 0.57/0.88 16 r1(f19(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.57/0.88 17 r1(f2(A)) | f4(A) = A # label(axiom_6a) # label(axiom). [clausify(2)]. 0.57/0.88 18 r1(f2(A)) | r2(f3(A),f4(A)) # label(axiom_6a) # label(axiom). [clausify(2)]. 0.57/0.88 Derived: -r2(A,B) | f11(C) != B. [resolve(13,c,14,a)]. 0.57/0.88 Derived: -r2(A,B) | f12(C) != B. [resolve(13,c,15,a)]. 0.57/0.88 Derived: -r2(A,B) | f19(C) != B. [resolve(13,c,16,a)]. 0.57/0.88 Derived: -r2(A,B) | f2(C) != B | f4(C) = C. [resolve(13,c,17,a)]. 0.57/0.88 Derived: -r2(A,B) | f2(C) != B | r2(f3(C),f4(C)). [resolve(13,c,18,a)]. 0.57/0.88 19 -r3(A,B,C) | D != C | -r1(E) | -r2(E,F) | -r2(F,V6) | -r2(V6,D) # label(xplusyeqthree) # label(negated_conjecture). [clausify(12)]. 0.57/0.88 Derived: -r3(A,B,C) | D != C | -r2(f11(E),F) | -r2(F,V6) | -r2(V6,D). [resolve(19,c,14,a)]. 0.57/0.88 Derived: -r3(A,B,C) | D != C | -r2(f12(E),F) | -r2(F,V6) | -r2(V6,D). [resolve(19,c,15,a)]. 0.57/0.88 Derived: -r3(A,B,C) | D != C | -r2(f19(E),F) | -r2(F,V6) | -r2(V6,D). [resolve(19,c,16,a)]. 0.57/0.88 Derived: -r3(A,B,C) | D != C | -r2(f2(E),F) | -r2(F,V6) | -r2(V6,D) | f4(E) = E. [resolve(19,c,17,a)]. 0.57/0.88 Derived: -r3(A,B,C) | D != C | -r2(f2(E),F) | -r2(F,V6) | -r2(V6,D) | r2(f3(E),f4(E)). [resolve(19,c,18,a)]. 0.57/0.88 20 r1(A) | A != c1 # label(axiom_1) # label(axiom). [clausify(5)]. 0.57/0.88 Derived: A != c1 | -r2(B,C) | A != C. [resolve(20,a,13,c)]. 0.57/0.88 Derived: A != c1 | -r3(B,C,D) | E != D | -r2(A,F) | -r2(F,V6) | -r2(V6,E). [resolve(20,a,19,c)]. 0.57/0.88 21 A = c1 | -r1(A) # label(axiom_1) # label(axiom). [clausify(5)]. 0.57/0.88 Derived: f11(A) = c1. [resolve(21,b,14,a)]. 0.57/0.88 Derived: f12(A) = c1. [resolve(21,b,15,a)]. 0.57/0.88 Derived: f19(A) = c1. [resolve(21,b,16,a)]. 0.57/0.88 Derived: f2(A) = c1 | f4(A) = A. [resolve(21,b,17,a)]. 0.57/0.88 Derived: f2(A) = c1 | r2(f3(A),f4(A)). [resolve(21,b,18,a)]. 0.57/0.88 22 A = f1(B,C) | -r4(B,C,A) # label(axiom_4) # label(axiom). [clausify(1)]. 0.57/0.88 23 r4(A,B,f7(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.57/0.88 24 r4(A,f11(A),f10(A)) # label(axiom_5a) # label(axiom). [clausify(6)]. 0.57/0.88 25 r4(A,f9(A,B),f8(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.57/0.88 26 r4(A,B,C) | C != f1(A,B) # label(axiom_4) # label(axiom). [clausify(1)]. 0.57/0.88 Derived: f7(A,B) = f1(A,B). [resolve(22,b,23,a)]. 0.57/0.88 Derived: f10(A) = f1(A,f11(A)). [resolve(22,b,24,a)]. 0.57/0.88 Derived: f8(A,B) = f1(A,f9(A,B)). [resolve(22,b,25,a)]. 0.57/0.88 27 -r3(A,B,C) | C = f13(A,B) # label(axiom_3) # label(axiom). [clausify(7)]. 0.57/0.88 28 r3(A,B,f17(A,B)) # label(axiom_1a) # label(axiom). [clausify(9)]. 0.57/0.88 29 r3(A,f19(A),f18(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.57/0.88 30 r3(f7(A,B),A,f6(A,B)) # label(axiom_2a) # label(axiom). [clausify(4)]. 0.57/0.88 31 r3(A,f16(A,B),f15(A,B)) # label(axiom_1a) # label(axiom). [clausify(9)]. 0.57/0.88 Derived: f17(A,B) = f13(A,B). [resolve(27,a,28,a)]. 0.57/0.88 Derived: f18(A) = f13(A,f19(A)). [resolve(27,a,29,a)]. 0.57/0.88 Derived: f6(A,B) = f13(f7(A,B),A). [resolve(27,a,30,a)]. 0.57/0.88 Derived: f15(A,B) = f13(A,f16(A,B)). [resolve(27,a,31,a)]. 0.57/0.88 32 A != f13(B,C) | r3(B,C,A) # label(axiom_3) # label(axiom). [clausify(7)]. 0.57/0.88 33 -r3(A,B,C) | D != C | -r2(f11(E),F) | -r2(F,V6) | -r2(V6,D). [resolve(19,c,14,a)]. 0.57/0.88 Derived: A != f17(B,C) | -r2(f11(D),E) | -r2(E,F) | -r2(F,A). [resolve(33,a,28,a)]. 0.57/0.88 Derived: A != f18(B) | -r2(f11(C),D) | -r2(D,E) | -r2(E,A). [resolve(33,a,29,a)]. 0.57/0.88 Derived: A != f6(B,C) | -r2(f11(D),E) | -r2(E,F) | -r2(F,A). [resolve(33,a,30,a)]. 0.57/0.88 Derived: A != f15(B,C) | -r2(f11(D),E) | -r2(E,F) | -r2(F,A). [resolve(33,a,31,a)]. 0.57/0.88 Derived: A != B | -r2(f11(C),D) | -r2(D,E) | -r2(E,A) | B != f13(F,V6). [resolve(33,a,32,b)]. 0.57/0.88 34 -r3(A,B,C) | D != C | -r2(f12(E),F) | -r2(F,V6) | -r2(V6,D). [resolve(19,c,15,a)]. 0.57/0.88 Derived: A != f17(B,C) | -r2(f12(D),E) | -r2(E,F) | -r2(F,A). [resolve(34,a,28,a)]. 0.57/0.90 Derived: A != f18(B) | -r2(f12(C),D) | -r2(D,E) | -r2(E,A). [resolve(34,a,29,a)]. 0.57/0.90 Derived: A != f6(B,C) | -r2(f12(D),E) | -r2(E,F) | -r2(F,A). [resolve(34,a,30,a)]. 0.57/0.90 Derived: A != f15(B,C) | -r2(f12(D),E) | -r2(E,F) | -r2(F,A). [resolve(34,a,31,a)]. 0.57/0.90 Derived: A != B | -r2(f12(C),D) | -r2(D,E) | -r2(E,A) | B != f13(F,V6). [resolve(34,a,32,b)]. 0.57/0.90 35 -r3(A,B,C) | D != C | -r2(f19(E),F) | -r2(F,V6) | -r2(V6,D). [resolve(19,c,16,a)]. 0.57/0.90 Derived: A != f17(B,C) | -r2(f19(D),E) | -r2(E,F) | -r2(F,A). [resolve(35,a,28,a)]. 0.57/0.90 Derived: A != f18(B) | -r2(f19(C),D) | -r2(D,E) | -r2(E,A). [resolve(35,a,29,a)]. 0.57/0.90 Derived: A != f6(B,C) | -r2(f19(D),E) | -r2(E,F) | -r2(F,A). [resolve(35,a,30,a)]. 0.57/0.90 Derived: A != f15(B,C) | -r2(f19(D),E) | -r2(E,F) | -r2(F,A). [resolve(35,a,31,a)]. 0.57/0.90 Derived: A != B | -r2(f19(C),D) | -r2(D,E) | -r2(E,A) | B != f13(F,V6). [resolve(35,a,32,b)]. 0.57/0.90 36 -r3(A,B,C) | D != C | -r2(f2(E),F) | -r2(F,V6) | -r2(V6,D) | f4(E) = E. [resolve(19,c,17,a)]. 0.57/0.90 Derived: A != f17(B,C) | -r2(f2(D),E) | -r2(E,F) | -r2(F,A) | f4(D) = D. [resolve(36,a,28,a)]. 0.57/0.90 Derived: A != f18(B) | -r2(f2(C),D) | -r2(D,E) | -r2(E,A) | f4(C) = C. [resolve(36,a,29,a)]. 0.57/0.90 Derived: A != f6(B,C) | -r2(f2(D),E) | -r2(E,F) | -r2(F,A) | f4(D) = D. [resolve(36,a,30,a)]. 0.57/0.90 Derived: A != f15(B,C) | -r2(f2(D),E) | -r2(E,F) | -r2(F,A) | f4(D) = D. [resolve(36,a,31,a)]. 0.57/0.90 Derived: A != B | -r2(f2(C),D) | -r2(D,E) | -r2(E,A) | f4(C) = C | B != f13(F,V6). [resolve(36,a,32,b)]. 0.57/0.90 37 -r3(A,B,C) | D != C | -r2(f2(E),F) | -r2(F,V6) | -r2(V6,D) | r2(f3(E),f4(E)). [resolve(19,c,18,a)]. 0.57/0.90 Derived: A != f17(B,C) | -r2(f2(D),E) | -r2(E,F) | -r2(F,A) | r2(f3(D),f4(D)). [resolve(37,a,28,a)]. 0.57/0.90 Derived: A != f18(B) | -r2(f2(C),D) | -r2(D,E) | -r2(E,A) | r2(f3(C),f4(C)). [resolve(37,a,29,a)]. 0.57/0.90 Derived: A != f6(B,C) | -r2(f2(D),E) | -r2(E,F) | -r2(F,A) | r2(f3(D),f4(D)). [resolve(37,a,30,a)]. 0.57/0.90 Derived: A != f15(B,C) | -r2(f2(D),E) | -r2(E,F) | -r2(F,A) | r2(f3(D),f4(D)). [resolve(37,a,31,a)]. 0.57/0.90 Derived: A != B | -r2(f2(C),D) | -r2(D,E) | -r2(E,A) | r2(f3(C),f4(C)) | B != f13(F,V6). [resolve(37,a,32,b)]. 0.57/0.90 38 A != c1 | -r3(B,C,D) | E != D | -r2(A,F) | -r2(F,V6) | -r2(V6,E). [resolve(20,a,19,c)]. 0.57/0.90 Derived: A != c1 | B != f17(C,D) | -r2(A,E) | -r2(E,F) | -r2(F,B). [resolve(38,b,28,a)]. 0.57/0.90 Derived: A != c1 | B != f18(C) | -r2(A,D) | -r2(D,E) | -r2(E,B). [resolve(38,b,29,a)]. 0.57/0.90 Derived: A != c1 | B != f6(C,D) | -r2(A,E) | -r2(E,F) | -r2(F,B). [resolve(38,b,30,a)]. 0.57/0.90 Derived: A != c1 | B != f15(C,D) | -r2(A,E) | -r2(E,F) | -r2(F,B). [resolve(38,b,31,a)]. 0.57/0.90 Derived: A != c1 | B != C | -r2(A,D) | -r2(D,E) | -r2(E,B) | C != f13(F,V6). [resolve(38,b,32,b)]. 0.57/0.90 0.57/0.90 ============================== end predicate elimination ============= 0.57/0.90 0.57/0.90 Auto_denials: (non-Horn, no changes). 0.57/0.90 0.57/0.90 Term ordering decisions: 0.57/0.90 Function symbol KB weights: c1=1. f1=1. f6=1. f7=1. f8=1. f9=1. f13=1. f14=1. f15=1. f16=1. f17=1. f2=1. f3=1. f4=1. f5=1. f10=1. f11=1. f12=1. f18=1. f19=1. 0.57/0.90 0.57/0.90 ============================== end of process initial clauses ======== 0.57/0.90 0.57/0.90 ============================== CLAUSES FOR SEARCH ==================== 0.57/0.90 0.57/0.90 ============================== end of clauses for search ============= 0.57/0.90 0.57/0.90 ============================== SEARCH ================================ 0.57/0.90 0.57/0.90 % Starting search at 0.01 seconds. 0.57/0.90 0.57/0.90 ============================== PROOF ================================= 0.57/0.90 % SZS status Theorem 0.57/0.90 % SZS output start Refutation 0.57/0.90 0.57/0.90 % Proof 1 at 0.03 (+ 0.00) seconds. 0.57/0.90 % Length of proof is 30. 0.57/0.90 % Level of proof is 7. 0.57/0.90 % Maximum clause weight is 17.000. 0.57/0.90 % Given clauses 61. 0.57/0.90 0.57/0.90 3 (all X11 exists Y21 all X12 (X12 = Y21 & r2(X11,X12) | -r2(X11,X12) & X12 != Y21)) # label(axiom_2) # label(axiom) # label(non_clause). [assumption]. 0.57/0.90 5 (exists Y24 all X19 (r1(X19) & Y24 = X19 | Y24 != X19 & -r1(X19))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption]. 0.57/0.90 7 (all X13 all X14 exists Y22 all X15 (-r3(X13,X14,X15) & X15 != Y22 | r3(X13,X14,X15) & Y22 = X15)) # label(axiom_3) # label(axiom) # label(non_clause). [assumption]. 0.57/0.90 9 (all X1 all X8 exists Y4 ((exists Y5 ((exists Y15 (r3(X1,Y15,Y5) & r2(X8,Y15))) & Y4 = Y5)) & (exists Y7 (r3(X1,X8,Y7) & r2(Y7,Y4))))) # label(axiom_1a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.90 11 (all X4 exists Y9 (X4 = Y9 & (exists Y16 (r3(X4,Y16,Y9) & r1(Y16))))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.57/0.90 12 -(exists Y1 exists Y2 exists Y3 (r3(Y1,Y2,Y3) & (exists Y4 (Y4 = Y3 & (exists Y5 ((exists Y6 ((exists Y7 (r1(Y7) & r2(Y7,Y6))) & r2(Y6,Y5))) & r2(Y5,Y4))))))) # label(xplusyeqthree) # label(negated_conjecture) # label(non_clause). [assumption]. 0.57/0.90 16 r1(f19(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.57/0.90 19 -r3(A,B,C) | D != C | -r1(E) | -r2(E,F) | -r2(F,V6) | -r2(V6,D) # label(xplusyeqthree) # label(negated_conjecture). [clausify(12)]. 0.57/0.90 20 r1(A) | A != c1 # label(axiom_1) # label(axiom). [clausify(5)]. 0.57/0.90 21 A = c1 | -r1(A) # label(axiom_1) # label(axiom). [clausify(5)]. 0.57/0.90 27 -r3(A,B,C) | C = f13(A,B) # label(axiom_3) # label(axiom). [clausify(7)]. 0.57/0.90 28 r3(A,B,f17(A,B)) # label(axiom_1a) # label(axiom). [clausify(9)]. 0.57/0.90 29 r3(A,f19(A),f18(A)) # label(axiom_4a) # label(axiom). [clausify(11)]. 0.57/0.90 31 r3(A,f16(A,B),f15(A,B)) # label(axiom_1a) # label(axiom). [clausify(9)]. 0.57/0.90 38 A != c1 | -r3(B,C,D) | E != D | -r2(A,F) | -r2(F,V6) | -r2(V6,E). [resolve(20,a,19,c)]. 0.57/0.90 39 f18(A) = A # label(axiom_4a) # label(axiom). [clausify(11)]. 0.57/0.90 44 f15(A,B) = f14(A,B) # label(axiom_1a) # label(axiom). [clausify(9)]. 0.57/0.90 45 r2(f17(A,B),f14(A,B)) # label(axiom_1a) # label(axiom). [clausify(9)]. 0.57/0.90 50 r2(A,B) | B != f5(A) # label(axiom_2) # label(axiom). [clausify(3)]. 0.57/0.90 51 r2(A,B) | f5(A) != B. [copy(50),flip(b)]. 0.57/0.90 64 f19(A) = c1. [resolve(21,b,16,a)]. 0.57/0.90 72 f17(A,B) = f13(A,B). [resolve(27,a,28,a)]. 0.57/0.90 73 f18(A) = f13(A,f19(A)). [resolve(27,a,29,a)]. 0.57/0.90 74 f13(A,c1) = A. [copy(73),rewrite([39(1),64(1)]),flip(a)]. 0.57/0.90 122 A != c1 | B != f15(C,D) | -r2(A,E) | -r2(E,F) | -r2(F,B). [resolve(38,b,31,a)]. 0.57/0.90 123 c1 != A | f14(B,C) != D | -r2(A,E) | -r2(E,F) | -r2(F,D). [copy(122),rewrite([44(3)]),flip(a),flip(b)]. 0.57/0.90 129 r2(f13(A,B),f14(A,B)). [back_rewrite(45),rewrite([72(1)])]. 0.57/0.90 285 -r2(f14(c1,c1),f13(A,B)). [ur(123,a,74,a(flip),b,xx,c,129,a,e,129,a)]. 0.57/0.90 322 f13(A,B) != f5(f14(c1,c1)). [ur(51,a,285,a),flip(a)]. 0.57/0.90 323 $F. [resolve(322,a,74,a)]. 0.57/0.90 0.57/0.90 % SZS output end Refutation 0.57/0.90 ============================== end of proof ========================== 0.57/0.90 0.57/0.90 ============================== STATISTICS ============================ 0.57/0.90 0.57/0.90 Given=61. Generated=501. Kept=244. proofs=1. 0.57/0.90 Usable=59. Sos=134. Demods=18. Limbo=0, Disabled=136. Hints=0. 0.57/0.90 Megabytes=0.28. 0.57/0.90 User_CPU=0.03, System_CPU=0.00, Wall_clock=0. 0.57/0.90 0.57/0.90 ============================== end of statistics ===================== 0.57/0.90 0.57/0.90 ============================== end of search ========================= 0.57/0.90 0.57/0.90 THEOREM PROVED 0.57/0.90 % SZS status Theorem 0.57/0.90 0.57/0.90 Exiting with 1 proof. 0.57/0.90 0.57/0.90 Process 12281 exit (max_proofs) Thu Jul 2 06:49:19 2020 0.57/0.90 Prover9 interrupted 0.57/0.90 EOF