0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.02/0.23 % Computer : n120.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 06:20:24 CDT 2018 0.02/0.23 % CPUTime : 0.06/0.44 ============================== Prover9 =============================== 0.06/0.44 Prover9 (32) version 2009-11A, November 2009. 0.06/0.44 Process 4139 was started by sandbox on n120.star.cs.uiowa.edu, 0.06/0.44 Sat Jul 14 06:20:25 2018 0.06/0.44 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4107_n120.star.cs.uiowa.edu". 0.06/0.44 ============================== end of head =========================== 0.06/0.44 0.06/0.44 ============================== INPUT ================================= 0.06/0.44 0.06/0.44 % Reading from file /tmp/Prover9_4107_n120.star.cs.uiowa.edu 0.06/0.44 0.06/0.44 set(prolog_style_variables). 0.06/0.44 set(auto2). 0.06/0.44 % set(auto2) -> set(auto). 0.06/0.44 % set(auto) -> set(auto_inference). 0.06/0.44 % set(auto) -> set(auto_setup). 0.06/0.44 % set(auto_setup) -> set(predicate_elim). 0.06/0.44 % set(auto_setup) -> assign(eq_defs, unfold). 0.06/0.44 % set(auto) -> set(auto_limits). 0.06/0.44 % set(auto_limits) -> assign(max_weight, "100.000"). 0.06/0.44 % set(auto_limits) -> assign(sos_limit, 20000). 0.06/0.44 % set(auto) -> set(auto_denials). 0.06/0.44 % set(auto) -> set(auto_process). 0.06/0.44 % set(auto2) -> assign(new_constants, 1). 0.06/0.44 % set(auto2) -> assign(fold_denial_max, 3). 0.06/0.44 % set(auto2) -> assign(max_weight, "200.000"). 0.06/0.44 % set(auto2) -> assign(max_hours, 1). 0.06/0.44 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.06/0.44 % set(auto2) -> assign(max_seconds, 0). 0.06/0.44 % set(auto2) -> assign(max_minutes, 5). 0.06/0.44 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.06/0.44 % set(auto2) -> set(sort_initial_sos). 0.06/0.44 % set(auto2) -> assign(sos_limit, -1). 0.06/0.44 % set(auto2) -> assign(lrs_ticks, 3000). 0.06/0.44 % set(auto2) -> assign(max_megs, 400). 0.06/0.44 % set(auto2) -> assign(stats, some). 0.06/0.44 % set(auto2) -> clear(echo_input). 0.06/0.44 % set(auto2) -> set(quiet). 0.06/0.44 % set(auto2) -> clear(print_initial_clauses). 0.06/0.44 % set(auto2) -> clear(print_given). 0.06/0.44 assign(lrs_ticks,-1). 0.06/0.44 assign(sos_limit,10000). 0.06/0.44 assign(order,kbo). 0.06/0.44 set(lex_order_vars). 0.06/0.44 clear(print_given). 0.06/0.44 0.06/0.44 % formulas(sos). % not echoed (43 formulas) 0.06/0.44 0.06/0.44 ============================== end of input ========================== 0.06/0.44 0.06/0.44 % From the command line: assign(max_seconds, 300). 0.06/0.44 0.06/0.44 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.06/0.44 0.06/0.44 % Formulas that are not ordinary clauses: 0.06/0.44 1 (all X all Y is_a_theorem(implies(and(X,Y),Y))) <-> and_2 # label(and_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 2 (all X all Y is_a_theorem(implies(equiv(X,Y),implies(Y,X)))) <-> equivalence_2 # label(equivalence_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 3 substitution_of_equivalents <-> (all X all Y (is_a_theorem(equiv(X,Y)) -> Y = X)) # label(substitution_of_equivalents) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 4 kn3 <-> (all P all Q all R is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))) # label(kn3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 5 r5 <-> (all P all Q all R is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))) # label(r5) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 6 (all P is_a_theorem(implies(P,and(P,P)))) <-> kn1 # label(kn1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 7 (all P all Q all R is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))) <-> cn1 # label(cn1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 8 r4 <-> (all P all Q all R is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))) # label(r4) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 9 cn2 <-> (all P all Q is_a_theorem(implies(P,implies(not(P),Q)))) # label(cn2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 10 or_1 <-> (all X all Y is_a_theorem(implies(X,or(X,Y)))) # label(or_1) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 11 (all X all Y is_a_theorem(implies(Y,or(X,Y)))) <-> or_2 # label(or_2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 12 modus_ponens <-> (all X all Y (is_a_theorem(X) & is_a_theorem(implies(X,Y)) -> is_a_theorem(Y))) # label(modus_ponens) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 13 implies_3 <-> (all X all Y all Z is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))) # label(implies_3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.44 14 (all P is_a_theorem(implies(or(P,P),P))) <-> r1 # label(r1) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 15 (all X all Y is_a_theorem(implies(X,implies(Y,and(X,Y))))) <-> and_3 # label(and_3) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 16 r2 <-> (all P all Q is_a_theorem(implies(Q,or(P,Q)))) # label(r2) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 17 and_1 <-> (all X all Y is_a_theorem(implies(and(X,Y),X))) # label(and_1) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 18 (all P is_a_theorem(implies(implies(not(P),P),P))) <-> cn3 # label(cn3) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 19 r3 <-> (all P all Q is_a_theorem(implies(or(P,Q),or(Q,P)))) # label(r3) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 20 (all X all Y is_a_theorem(implies(equiv(X,Y),implies(X,Y)))) <-> equivalence_1 # label(equivalence_1) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 21 or_3 <-> (all X all Y all Z is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))) # label(or_3) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 22 (all X all Y is_a_theorem(implies(X,implies(Y,X)))) <-> implies_1 # label(implies_1) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 23 modus_tollens <-> (all X all Y is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))) # label(modus_tollens) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 24 (all P all Q is_a_theorem(implies(and(P,Q),P))) <-> kn2 # label(kn2) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 25 (all X all Y is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))) <-> equivalence_3 # label(equivalence_3) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 26 implies_2 <-> (all X all Y is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))) # label(implies_2) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 27 op_or -> (all X all Y or(X,Y) = not(and(not(X),not(Y)))) # label(op_or) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 28 op_and -> (all X all Y and(X,Y) = not(or(not(X),not(Y)))) # label(op_and) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 29 op_implies_and -> (all X all Y not(and(X,not(Y))) = implies(X,Y)) # label(op_implies_and) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 30 op_implies_or -> (all X all Y or(not(X),Y) = implies(X,Y)) # label(op_implies_or) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 31 op_equiv -> (all X all Y equiv(X,Y) = and(implies(X,Y),implies(Y,X))) # label(op_equiv) # label(axiom) # label(non_clause). [assumption]. 0.74/0.95 0.74/0.95 ============================== end of process non-clausal formulas === 0.74/0.95 0.74/0.95 ============================== PROCESS INITIAL CLAUSES =============== 0.74/0.95 0.74/0.95 ============================== PREDICATE ELIMINATION ================= 0.74/0.95 0.74/0.95 ============================== end predicate elimination ============= 0.74/0.95 0.74/0.95 Auto_denials: (non-Horn, no changes). 0.74/0.95 0.74/0.95 Term ordering decisions: 0.74/0.95 0.74/0.95 % Assigning unary symbol not kb_weight 0 and highest precedence (94). 0.74/0.95 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. c19=1. c20=1. c21=1. c22=1. c23=1. c24=1. c25=1. c26=1. c27=1. c28=1. c29=1. c30=1. c31=1. c32=1. c33=1. c34=1. c35=1. c36=1. c37=1. c38=1. c39=1. c40=1. c41=1. c42=1. c43=1. c44=1. c45=1. c46=1. c47=1. c48=1. c49=1. c50=1. c51=1. c52=1. c53=1. c54=1. c55=1. implies=1. or=1. and=1. equiv=1. not=0. 0.74/0.95 0.74/0.95 ============================== end of process initial clauses ======== 0.74/0.95 0.74/0.95 ============================== CLAUSES FOR SEARCH ==================== 0.74/0.95 0.74/0.95 ============================== end of clauses for search ============= 0.74/0.95 0.74/0.95 ============================== SEARCH ================================ 0.74/0.95 0.74/0.95 % Starting search at 0.01 seconds. 0.74/0.95 0.74/0.95 Low Water (keep): wt=43.000, iters=3364 0.74/0.95 0.74/0.95 Low Water (keep): wt=36.000, iters=3364 0.74/0.95 0.74/0.95 Low Water (keep): wt=33.000, iters=3372 0.74/0.95 0.74/0.95 Low Water (keep): wt=32.000, iters=3385 0.74/0.95 0.74/0.95 Low Water (keep): wt=31.000, iters=3382 0.74/0.95 0.74/0.95 Low Water (keep): wt=27.000, iters=3391 0.74/0.95 0.74/0.95 Low Water (keep): wt=25.000, iters=3525 0.74/0.95 0.74/0.95 Low Water (keep): wt=24.000, iters=3591 0.74/0.95 0.74/0.95 Low Water (keep): wt=23.000, iters=3355 0.74/0.95 0.74/0.95 Low Water (keep): wt=22.000, iters=3368 182.12/182.41 182.12/182.41 Low Water (keep): wt=21.000, iters=3341 182.12/182.41 182.12/182.41 Low Water (keep): wt=20.000, iters=3480 182.12/182.41 182.12/182.41 Low Water (keep): wt=19.000, iters=3351 182.12/182.41 182.12/182.41 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 77 (0.00 of 1.60 sec). 182.12/182.41 182.12/182.41 Low Water (keep): wt=18.000, iters=3353 182.12/182.41 182.12/182.41 Low Water (displace): id=2039, wt=127.000 182.12/182.41 182.12/182.41 Low Water (displace): id=2456, wt=111.000 182.12/182.41 182.12/182.41 Low Water (displace): id=3160, wt=91.000 182.12/182.41 182.12/182.41 Low Water (displace): id=1529, wt=83.000 182.12/182.41 182.12/182.41 Low Water (displace): id=3605, wt=79.000 182.12/182.41 182.12/182.41 Low Water (displace): id=1531, wt=71.000 182.12/182.41 182.12/182.41 Low Water (displace): id=1530, wt=63.000 182.12/182.41 182.12/182.41 Low Water (displace): id=9884, wt=45.000 182.12/182.41 182.12/182.41 Low Water (displace): id=9585, wt=43.000 182.12/182.41 182.12/182.41 Low Water (displace): id=9584, wt=42.000 182.12/182.41 182.12/182.41 Low Water (displace): id=9888, wt=41.000 182.12/182.41 182.12/182.41 Low Water (displace): id=7413, wt=39.000 182.12/182.41 182.12/182.41 Low Water (displace): id=7411, wt=38.000 182.12/182.41 182.12/182.41 Low Water (displace): id=9892, wt=37.000 182.12/182.41 182.12/182.41 Low Water (displace): id=10775, wt=35.000 182.12/182.41 182.12/182.41 Low Water (displace): id=9579, wt=34.000 182.12/182.41 182.12/182.41 Low Water (displace): id=10832, wt=33.000 182.12/182.41 182.12/182.41 Low Water (displace): id=10830, wt=32.000 182.12/182.41 182.12/182.41 Low Water (displace): id=11020, wt=31.000 182.12/182.41 182.12/182.41 Low Water (displace): id=11018, wt=30.000 182.12/182.41 182.12/182.41 Low Water (displace): id=10967, wt=29.000 182.12/182.41 182.12/182.41 Low Water (displace): id=11229, wt=17.000 182.12/182.41 182.12/182.41 Low Water (displace): id=11546, wt=15.000 182.12/182.41 182.12/182.41 Low Water (displace): id=12019, wt=14.000 182.12/182.41 182.12/182.41 Low Water (keep): wt=17.000, iters=3334 182.12/182.41 182.12/182.41 Low Water (displace): id=17697, wt=13.000 182.12/182.41 182.12/182.41 Low Water (keep): wt=16.000, iters=3439 182.12/182.41 182.12/182.41 Low Water (keep): wt=15.000, iters=4368 182.12/182.41 182.12/182.41 Low Water (keep): wt=14.000, iters=3404 182.12/182.41 182.12/182.41 Low Water (displace): id=122129, wt=12.000 182.12/182.41 182.12/182.41 Low Water (keep): wt=13.000, iters=3333 182.12/182.41 182.12/182.41 Low Water (displace): id=162470, wt=11.000 182.12/182.41 182.12/182.41 ============================== PROOF ================================= 182.12/182.41 % SZS status Theorem 182.12/182.41 % SZS output start Refutation 182.12/182.41 182.12/182.41 % Proof 1 at 174.67 (+ 7.27) seconds. 182.12/182.41 % Length of proof is 353. 182.12/182.41 % Level of proof is 100. 182.12/182.41 % Maximum clause weight is 19.000. 182.12/182.41 % Given clauses 9536. 182.12/182.41 182.12/182.41 3 substitution_of_equivalents <-> (all X all Y (is_a_theorem(equiv(X,Y)) -> Y = X)) # label(substitution_of_equivalents) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 7 (all P all Q all R is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))) <-> cn1 # label(cn1) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 9 cn2 <-> (all P all Q is_a_theorem(implies(P,implies(not(P),Q)))) # label(cn2) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 12 modus_ponens <-> (all X all Y (is_a_theorem(X) & is_a_theorem(implies(X,Y)) -> is_a_theorem(Y))) # label(modus_ponens) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 15 (all X all Y is_a_theorem(implies(X,implies(Y,and(X,Y))))) <-> and_3 # label(and_3) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 18 (all P is_a_theorem(implies(implies(not(P),P),P))) <-> cn3 # label(cn3) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 29 op_implies_and -> (all X all Y not(and(X,not(Y))) = implies(X,Y)) # label(op_implies_and) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 31 op_equiv -> (all X all Y equiv(X,Y) = and(implies(X,Y),implies(Y,X))) # label(op_equiv) # label(axiom) # label(non_clause). [assumption]. 182.12/182.41 33 cn3 # label(luka_cn3) # label(axiom). [assumption]. 182.12/182.41 34 substitution_of_equivalents # label(substitution_of_equivalents) # label(axiom). [assumption]. 182.12/182.41 35 cn1 # label(luka_cn1) # label(axiom). [assumption]. 182.12/182.41 36 modus_ponens # label(luka_modus_ponens) # label(axiom). [assumption]. 182.12/182.41 37 cn2 # label(luka_cn2) # label(axiom). [assumption]. 182.12/182.41 39 op_equiv # label(luka_op_equiv) # label(axiom). [assumption]. 182.12/182.41 40 op_implies_and # label(hilbert_op_implies_and) # label(axiom). [assumption]. 182.12/182.41 41 -and_3 # label(hilbert_and_3) # label(negated_conjecture). [assumption]. 182.12/182.41 60 -substitution_of_equivalents | -is_a_theorem(equiv(A,B)) | B = A # label(substitution_of_equivalents) # label(axiom). [clausify(3)]. 182.12/182.41 61 -is_a_theorem(equiv(A,B)) | B = A. [copy(60),unit_del(a,34)]. 182.12/182.41 62 -cn2 | is_a_theorem(implies(A,implies(not(A),B))) # label(cn2) # label(axiom). [clausify(9)]. 182.12/182.41 63 is_a_theorem(implies(A,implies(not(A),B))). [copy(62),unit_del(a,37)]. 182.12/182.41 65 is_a_theorem(implies(implies(not(A),A),A)) | -cn3 # label(cn3) # label(axiom). [clausify(18)]. 182.12/182.41 66 is_a_theorem(implies(implies(not(A),A),A)). [copy(65),unit_del(b,33)]. 182.12/182.41 69 -modus_ponens | -is_a_theorem(A) | -is_a_theorem(implies(A,B)) | is_a_theorem(B) # label(modus_ponens) # label(axiom). [clausify(12)]. 182.12/182.41 70 -is_a_theorem(A) | -is_a_theorem(implies(A,B)) | is_a_theorem(B). [copy(69),unit_del(a,36)]. 182.12/182.41 71 -is_a_theorem(implies(c32,implies(c33,and(c32,c33)))) | and_3 # label(and_3) # label(axiom). [clausify(15)]. 182.12/182.41 72 -is_a_theorem(implies(c32,implies(c33,and(c32,c33)))). [copy(71),unit_del(b,41)]. 182.12/182.41 78 -op_implies_and | not(and(A,not(B))) = implies(A,B) # label(op_implies_and) # label(axiom). [clausify(29)]. 182.12/182.41 79 not(and(A,not(B))) = implies(A,B). [copy(78),unit_del(a,40)]. 182.12/182.41 88 -op_equiv | equiv(A,B) = and(implies(A,B),implies(B,A)) # label(op_equiv) # label(axiom). [clausify(31)]. 182.12/182.41 89 and(implies(A,B),implies(B,A)) = equiv(A,B). [copy(88),flip(b),unit_del(a,39)]. 182.12/182.41 94 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) | -cn1 # label(cn1) # label(axiom). [clausify(7)]. 182.12/182.41 95 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))). [copy(94),unit_del(b,35)]. 182.12/182.41 119 -is_a_theorem(implies(not(A),A)) | is_a_theorem(A). [resolve(70,b,66,a)]. 182.12/182.41 120 -is_a_theorem(A) | is_a_theorem(implies(not(A),B)). [resolve(70,b,63,a)]. 182.12/182.41 124 is_a_theorem(implies(and(A,not(B)),implies(implies(A,B),C))). [para(79(a,1),63(a,1,2,1))]. 182.12/182.41 125 is_a_theorem(implies(implies(implies(A,B),and(A,not(B))),and(A,not(B)))). [para(79(a,1),66(a,1,1,1))]. 182.12/182.41 126 not(and(A,implies(B,C))) = implies(A,and(B,not(C))). [para(79(a,1),79(a,1,1,2))]. 182.12/182.41 127 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(implies(B,C),implies(A,C))). [resolve(95,a,70,b)]. 182.12/182.41 223 is_a_theorem(implies(implies(implies(implies(A,B),C),D),implies(and(A,not(B)),D))). [resolve(127,a,124,a)]. 182.12/182.41 224 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))). [resolve(127,a,95,a)]. 182.12/182.41 225 is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))). [resolve(127,a,66,a)]. 182.12/182.41 226 is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))). [resolve(127,a,63,a)]. 182.12/182.41 227 is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))). [resolve(225,a,127,a)]. 182.12/182.41 229 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(implies(not(A),A),B)). [resolve(225,a,70,b)]. 182.12/182.41 239 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(not(A),D),B),C))). [resolve(226,a,127,a)]. 182.12/182.41 241 -is_a_theorem(implies(implies(not(A),B),C)) | is_a_theorem(implies(A,C)). [resolve(226,a,70,b)]. 182.12/182.41 254 implies(implies(A,B),and(B,not(A))) = not(equiv(A,B)). [para(89(a,1),126(a,1,1)),flip(a)]. 182.12/182.41 255 -is_a_theorem(implies(implies(A,and(B,not(C))),and(A,implies(B,C)))) | is_a_theorem(and(A,implies(B,C))). [para(126(a,1),119(a,1,1))]. 182.12/182.41 344 is_a_theorem(implies(A,implies(implies(B,C),implies(not(A),C)))). [resolve(241,a,95,a)]. 182.12/182.41 345 is_a_theorem(implies(A,A)). [resolve(241,a,66,a)]. 182.12/182.41 347 -is_a_theorem(implies(implies(implies(A,B),C),D)) | is_a_theorem(implies(and(A,not(B)),D)). [para(79(a,1),241(a,1,1,1))]. 182.12/182.41 410 is_a_theorem(implies(not(implies(A,A)),B)). [resolve(345,a,120,a)]. 182.12/182.41 430 is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B))). [resolve(410,a,127,a)]. 182.12/182.41 606 is_a_theorem(implies(implies(not(A),A),implies(implies(B,C),implies(not(A),C)))). [resolve(344,a,229,a)]. 182.12/182.41 607 is_a_theorem(implies(implies(implies(implies(A,B),implies(not(C),B)),D),implies(C,D))). [resolve(344,a,127,a)]. 182.12/182.41 635 is_a_theorem(implies(A,implies(not(implies(B,B)),C))). [resolve(430,a,241,a)]. 182.12/182.41 750 is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))). [resolve(635,a,127,a)]. 182.12/182.41 1019 is_a_theorem(implies(not(equiv(A,A)),and(A,not(A)))). [para(254(a,1),125(a,1,1))]. 182.12/182.41 1202 is_a_theorem(implies(implies(and(A,not(A)),B),implies(not(equiv(A,A)),B))). [resolve(1019,a,127,a)]. 182.12/182.41 2276 -is_a_theorem(implies(implies(not(implies(A,A)),B),C)) | is_a_theorem(implies(D,C)). [resolve(750,a,70,b)]. 182.12/182.41 3021 is_a_theorem(implies(A,implies(B,B))). [resolve(2276,a,66,a)]. 182.12/182.41 3028 is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))). [resolve(3021,a,127,a)]. 182.12/182.41 3377 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))). [resolve(3028,a,127,a)]. 182.12/182.41 3379 -is_a_theorem(implies(implies(A,A),B)) | is_a_theorem(implies(C,B)). [resolve(3028,a,70,b)]. 182.12/182.41 3451 is_a_theorem(implies(A,implies(B,implies(C,C)))). [resolve(3379,a,3028,a)]. 182.12/182.41 3453 is_a_theorem(implies(A,implies(B,implies(not(B),C)))). [resolve(3379,a,226,a)]. 182.12/182.41 3454 is_a_theorem(implies(A,implies(implies(not(B),B),B))). [resolve(3379,a,225,a)]. 182.12/182.41 3460 is_a_theorem(implies(implies(implies(A,implies(B,B)),C),implies(D,C))). [resolve(3451,a,127,a)]. 182.12/182.41 3534 is_a_theorem(implies(implies(implies(A,implies(not(A),B)),C),implies(D,C))). [resolve(3453,a,127,a)]. 182.12/182.41 3829 is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))). [resolve(3454,a,127,a)]. 182.12/182.41 5457 -is_a_theorem(implies(implies(implies(not(A),A),A),B)) | is_a_theorem(implies(C,B)). [resolve(3829,a,70,b)]. 182.12/182.41 6554 -is_a_theorem(implies(not(A),A)) | is_a_theorem(implies(implies(B,C),implies(not(A),C))). [resolve(606,a,70,b)]. 182.12/182.41 7187 -is_a_theorem(implies(and(A,not(A)),B)) | is_a_theorem(implies(not(equiv(A,A)),B)). [resolve(1202,a,70,b)]. 182.12/182.41 7574 is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))). [resolve(3377,a,5457,a)]. 182.12/182.41 7584 -is_a_theorem(implies(implies(A,B),C)) | is_a_theorem(implies(implies(implies(D,D),B),C)). [resolve(3377,a,70,b)]. 182.12/182.41 7640 is_a_theorem(implies(implies(implies(implies(implies(A,A),B),B),C),implies(D,C))). [resolve(7574,a,127,a)]. 182.12/182.41 7642 is_a_theorem(implies(implies(implies(A,A),B),B)). [resolve(7574,a,119,a)]. 182.12/182.41 7697 is_a_theorem(implies(implies(A,B),implies(implies(implies(C,C),A),B))). [resolve(7642,a,127,a)]. 182.12/182.41 7698 -is_a_theorem(implies(implies(A,A),B)) | is_a_theorem(B). [resolve(7642,a,70,b)]. 182.12/182.41 7895 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(implies(implies(C,C),A),B)). [resolve(7697,a,70,b)]. 182.12/182.41 8384 is_a_theorem(implies(implies(implies(A,A),implies(implies(B,B),C)),implies(D,C))). [resolve(7895,a,3028,a)]. 182.12/182.41 9933 is_a_theorem(implies(implies(implies(A,A),B),implies(implies(B,C),implies(D,C)))). [resolve(7584,a,95,a)]. 182.12/182.41 10003 -is_a_theorem(implies(implies(implies(implies(A,A),B),B),C)) | is_a_theorem(implies(D,C)). [resolve(7640,a,70,b)]. 182.12/182.41 10531 -is_a_theorem(implies(implies(A,A),implies(implies(B,B),C))) | is_a_theorem(implies(D,C)). [resolve(8384,a,70,b)]. 182.12/182.41 10769 -is_a_theorem(implies(implies(A,A),B)) | is_a_theorem(implies(implies(B,C),implies(D,C))). [resolve(9933,a,70,b)]. 182.12/182.41 11365 is_a_theorem(implies(A,implies(and(B,not(B)),C))). [resolve(223,a,10003,a)]. 182.12/182.41 11397 is_a_theorem(implies(and(A,not(A)),B)). [resolve(11365,a,7698,a)]. 182.12/182.41 11448 is_a_theorem(implies(not(equiv(A,A)),B)). [back_unit_del(7187),unit_del(a,11397)]. 182.12/182.41 11560 is_a_theorem(implies(implies(A,B),implies(not(equiv(C,C)),B))). [resolve(11448,a,6554,a)]. 182.12/182.41 12548 is_a_theorem(implies(implies(implies(not(equiv(A,A)),B),C),implies(D,C))). [resolve(11560,a,10769,a)]. 182.12/182.41 13106 is_a_theorem(implies(A,implies(B,equiv(C,C)))). [resolve(12548,a,5457,a)]. 182.12/182.41 13159 is_a_theorem(implies(A,equiv(B,B))). [resolve(13106,a,10531,a)]. 182.12/182.41 13226 is_a_theorem(implies(implies(equiv(A,A),B),implies(C,B))). [resolve(13159,a,10769,a)]. 182.12/182.41 13517 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(equiv(D,D),B),C))). [resolve(13226,a,127,a)]. 182.12/182.41 13889 -is_a_theorem(implies(implies(implies(not(A),A),B),C)) | is_a_theorem(implies(implies(A,B),C)). [resolve(227,a,70,b)]. 182.12/182.41 14551 is_a_theorem(implies(A,implies(implies(implies(not(implies(B,B)),C),D),D))). [resolve(239,a,10003,a)]. 182.12/182.41 14558 is_a_theorem(implies(A,implies(implies(implies(not(not(B)),C),B),B))). [resolve(239,a,5457,a)]. 182.12/182.41 14568 -is_a_theorem(implies(implies(A,B),C)) | is_a_theorem(implies(implies(implies(not(A),D),B),C)). [resolve(239,a,70,b)]. 182.12/182.41 14594 is_a_theorem(implies(implies(implies(not(not(A)),B),A),A)). [resolve(14558,a,7698,a)]. 182.12/182.41 14618 is_a_theorem(implies(implies(A,B),implies(implies(implies(not(not(A)),C),A),B))). [resolve(14594,a,127,a)]. 182.12/182.41 14619 -is_a_theorem(implies(implies(not(not(A)),B),A)) | is_a_theorem(A). [resolve(14594,a,70,b)]. 182.12/182.41 14638 is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),C)). [resolve(14551,a,14619,a)]. 182.12/182.41 14690 -is_a_theorem(implies(implies(not(implies(A,A)),B),C)) | is_a_theorem(C). [resolve(14638,a,70,b)]. 182.12/182.41 14716 -is_a_theorem(not(equiv(not(implies(A,A)),B))) | is_a_theorem(and(B,not(not(implies(A,A))))). [para(254(a,1),14690(a,1))]. 182.12/182.41 14804 is_a_theorem(implies(A,implies(implies(equiv(B,B),C),C))). [resolve(13517,a,10003,a)]. 182.12/182.41 14820 -is_a_theorem(implies(implies(A,B),C)) | is_a_theorem(implies(implies(equiv(D,D),B),C)). [resolve(13517,a,70,b)]. 182.12/182.41 14827 is_a_theorem(implies(implies(equiv(A,A),B),B)). [resolve(14804,a,14690,a)]. 182.12/182.41 14829 is_a_theorem(implies(implies(implies(implies(equiv(A,A),B),B),C),implies(D,C))). [resolve(14804,a,10769,a)]. 182.12/182.41 14884 is_a_theorem(implies(implies(A,B),implies(implies(equiv(C,C),A),B))). [resolve(14827,a,127,a)]. 182.12/182.41 14885 -is_a_theorem(implies(equiv(A,A),B)) | is_a_theorem(B). [resolve(14827,a,70,b)]. 182.12/182.41 15061 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(implies(equiv(C,C),A),B)). [resolve(14884,a,70,b)]. 182.12/182.41 17589 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(implies(implies(not(not(A)),C),A),B)). [resolve(14618,a,70,b)]. 182.12/182.41 17667 is_a_theorem(implies(implies(equiv(A,A),B),implies(implies(B,C),implies(D,C)))). [resolve(14820,a,9933,a)]. 182.12/182.41 17769 -is_a_theorem(implies(implies(implies(equiv(A,A),B),B),C)) | is_a_theorem(implies(D,C)). [resolve(14829,a,70,b)]. 182.12/182.41 20124 is_a_theorem(implies(implies(implies(not(implies(A,A)),B),and(A,not(A))),C)). [resolve(17589,a,11397,a),rewrite([79(3)])]. 182.12/182.41 20315 -is_a_theorem(implies(equiv(A,A),B)) | is_a_theorem(implies(implies(B,C),implies(D,C))). [resolve(17667,a,70,b)]. 182.12/182.41 20361 is_a_theorem(implies(A,implies(implies(implies(not(equiv(B,B)),C),D),D))). [resolve(17769,a,239,a)]. 182.12/182.41 20408 is_a_theorem(implies(implies(implies(not(equiv(A,A)),B),C),C)). [resolve(20361,a,14885,a)]. 182.12/182.41 20458 is_a_theorem(implies(implies(A,B),implies(implies(implies(not(equiv(C,C)),D),A),B))). [resolve(20408,a,127,a)]. 182.12/182.41 22465 is_a_theorem(implies(and(not(equiv(A,A)),not(B)),C)). [resolve(347,a,20408,a)]. 182.12/182.41 22467 is_a_theorem(implies(and(not(implies(A,A)),not(B)),C)). [resolve(347,a,20124,a)]. 182.12/182.41 22475 is_a_theorem(implies(and(not(not(A)),not(B)),A)). [resolve(347,a,14594,a)]. 182.12/182.41 22484 is_a_theorem(implies(and(implies(implies(A,A),B),not(B)),implies(C,D))). [resolve(347,a,7640,a)]. 182.12/182.41 22486 is_a_theorem(implies(and(implies(not(A),A),not(A)),implies(B,C))). [resolve(347,a,3829,a)]. 182.12/182.41 22487 is_a_theorem(implies(and(A,not(implies(not(A),B))),implies(C,D))). [resolve(347,a,3534,a)]. 182.12/182.41 22488 is_a_theorem(implies(and(A,not(implies(B,B))),implies(C,D))). [resolve(347,a,3460,a)]. 182.12/182.41 22497 is_a_theorem(implies(and(A,not(B)),implies(implies(implies(not(A),C),B),D))). [resolve(347,a,239,a)]. 182.12/182.41 22500 is_a_theorem(implies(and(implies(A,B),not(implies(C,B))),implies(implies(C,A),D))). [resolve(347,a,224,a)]. 182.12/182.41 22518 is_a_theorem(implies(implies(implies(A,A),and(not(not(B)),not(C))),B)). [resolve(22475,a,7895,a)]. 182.12/182.41 22525 is_a_theorem(implies(implies(implies(not(not(A)),B),and(not(not(A)),not(B))),A)). [resolve(22475,a,229,a),rewrite([79(5)])]. 182.12/182.41 22526 is_a_theorem(implies(implies(A,B),implies(and(not(not(A)),not(C)),B))). [resolve(22475,a,127,a)]. 182.12/182.41 22931 is_a_theorem(implies(implies(implies(A,A),and(not(equiv(B,B)),not(C))),D)). [resolve(22465,a,7895,a)]. 182.12/182.41 22971 is_a_theorem(implies(implies(implies(A,A),and(not(implies(B,B)),not(C))),D)). [resolve(22467,a,7895,a)]. 182.12/182.41 23320 is_a_theorem(implies(implies(implies(A,B),C),implies(and(D,not(implies(E,E))),C))). [resolve(22488,a,127,a)]. 182.12/182.41 23522 is_a_theorem(implies(and(implies(not(A),A),not(A)),not(equiv(B,C)))). [para(254(a,1),22486(a,1,2))]. 182.12/182.41 23551 is_a_theorem(implies(and(A,not(implies(not(A),B))),not(equiv(C,D)))). [para(254(a,1),22487(a,1,2))]. 182.12/182.41 23840 is_a_theorem(implies(and(implies(implies(A,A),B),not(B)),not(equiv(C,D)))). [para(254(a,1),22484(a,1,2))]. 182.12/182.41 24221 is_a_theorem(implies(and(not(not(not(implies(A,A)))),not(B)),C)). [resolve(22526,a,14690,a)]. 182.12/182.41 24225 is_a_theorem(implies(implies(implies(and(not(not(A)),not(B)),A),C),implies(D,C))). [resolve(22526,a,10769,a)]. 182.12/182.41 26628 is_a_theorem(implies(and(A,implies(B,not(A))),implies(not(equiv(not(A),B)),C))). [para(254(a,1),22497(a,1,2,1)),rewrite([79(4)])]. 182.12/182.41 27018 is_a_theorem(and(implies(A,A),implies(not(equiv(B,B)),C))). [resolve(22931,a,255,a)]. 182.12/182.41 27257 is_a_theorem(and(implies(A,A),implies(not(implies(B,B)),C))). [resolve(22971,a,255,a)]. 182.12/182.41 29850 -is_a_theorem(implies(implies(implies(A,B),implies(not(C),B)),D)) | is_a_theorem(implies(C,D)). [resolve(607,a,70,b)]. 182.12/182.41 42272 is_a_theorem(implies(implies(implies(not(implies(A,A)),B),and(not(not(C)),not(D))),C)). [resolve(14568,a,22518,a)]. 182.12/182.41 51698 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(implies(implies(not(equiv(C,C)),D),A),B)). [resolve(20458,a,70,b)]. 182.12/182.41 54037 is_a_theorem(implies(implies(not(A),and(not(not(A)),not(not(A)))),A)). [resolve(22525,a,13889,a)]. 182.12/182.41 54102 -is_a_theorem(implies(not(A),and(not(not(A)),not(not(A))))) | is_a_theorem(A). [resolve(54037,a,70,b)]. 182.12/182.41 55552 is_a_theorem(implies(A,implies(and(B,not(implies(C,C))),D))). [resolve(23320,a,17769,a)]. 182.12/182.41 55593 is_a_theorem(implies(implies(implies(and(A,not(implies(B,B))),C),D),implies(E,D))). [resolve(55552,a,20315,a)]. 182.12/182.41 59494 -is_a_theorem(and(A,implies(B,not(A)))) | is_a_theorem(implies(not(equiv(not(A),B)),C)). [resolve(26628,a,70,b)]. 182.12/182.41 60323 is_a_theorem(implies(A,implies(B,implies(not(A),C)))). [resolve(29850,a,24225,a)]. 182.12/182.41 60332 is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))). [resolve(29850,a,9933,a)]. 182.12/182.41 60412 is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))). [resolve(60323,a,127,a)]. 182.12/182.41 65078 is_a_theorem(implies(A,implies(B,implies(C,implies(not(B),D))))). [resolve(60412,a,3379,a)]. 182.12/182.41 109974 is_a_theorem(implies(implies(implies(not(equiv(A,A)),B),and(not(implies(C,C)),not(D))),E)). [resolve(51698,a,22467,a)]. 182.12/182.41 111563 is_a_theorem(implies(and(and(A,not(implies(B,B))),not(C)),implies(D,E))). [resolve(55593,a,347,a)]. 182.12/182.41 111711 is_a_theorem(implies(and(and(A,not(implies(B,B))),not(C)),not(equiv(D,E)))). [para(254(a,1),111563(a,1,2))]. 182.12/182.41 114178 is_a_theorem(implies(not(equiv(not(implies(A,A)),not(implies(B,B)))),C)). [resolve(59494,a,27257,a)]. 182.12/182.41 114180 is_a_theorem(implies(not(equiv(not(implies(A,A)),not(equiv(B,B)))),C)). [resolve(59494,a,27018,a)]. 182.12/182.41 114216 is_a_theorem(equiv(not(implies(A,A)),not(implies(B,B)))). [resolve(114178,a,54102,a)]. 182.12/182.41 114314 not(implies(A,A)) = not(implies(B,B)). [resolve(114216,a,61,a)]. 182.12/182.41 114321 not(implies(A,A)) = c_0. [new_symbol(114314)]. 182.12/182.41 114322 is_a_theorem(implies(not(equiv(c_0,not(equiv(A,A)))),B)). [back_rewrite(114180),rewrite([114321(2)])]. 182.12/182.41 114336 is_a_theorem(implies(and(and(A,c_0),not(B)),not(equiv(C,D)))). [back_rewrite(111711),rewrite([114321(2)])]. 182.12/182.41 114356 is_a_theorem(implies(implies(implies(not(equiv(A,A)),B),and(c_0,not(C))),D)). [back_rewrite(109974),rewrite([114321(5)])]. 182.12/182.41 114769 is_a_theorem(implies(implies(implies(c_0,A),and(not(not(B)),not(C))),B)). [back_rewrite(42272),rewrite([114321(2)])]. 182.12/182.41 114958 is_a_theorem(implies(and(not(not(c_0)),not(A)),B)). [back_rewrite(24221),rewrite([114321(2)])]. 182.12/182.41 115131 -is_a_theorem(not(equiv(c_0,A))) | is_a_theorem(and(A,not(c_0))). [back_rewrite(14716),rewrite([114321(2),114321(6)])]. 182.12/182.41 115136 -is_a_theorem(implies(implies(c_0,A),B)) | is_a_theorem(B). [back_rewrite(14690),rewrite([114321(2)])]. 182.12/182.41 116501 is_a_theorem(implies(c_0,A)). [back_rewrite(410),rewrite([114321(2)])]. 182.12/182.41 116639 implies(A,implies(B,B)) = not(and(A,c_0)). [para(114321(a,1),79(a,1,1,2)),flip(a)]. 182.12/182.41 121677 is_a_theorem(implies(implies(equiv(A,A),and(not(not(c_0)),not(B))),C)). [resolve(114958,a,15061,a)]. 182.12/182.41 122521 is_a_theorem(equiv(c_0,not(equiv(A,A)))). [resolve(114322,a,54102,a)]. 182.12/182.41 122618 not(equiv(A,A)) = c_0. [resolve(122521,a,61,a)]. 182.12/182.41 122670 is_a_theorem(implies(implies(implies(c_0,A),and(c_0,not(B))),C)). [back_rewrite(114356),rewrite([122618(2)])]. 182.12/182.41 122697 implies(A,equiv(B,B)) = not(and(A,c_0)). [para(122618(a,1),79(a,1,1,2)),flip(a)]. 182.12/182.41 122736 is_a_theorem(implies(and(implies(not(A),A),not(A)),c_0)). [para(122618(a,1),23522(a,1,2))]. 182.12/182.41 122737 is_a_theorem(implies(and(A,not(implies(not(A),B))),c_0)). [para(122618(a,1),23551(a,1,2))]. 182.12/182.41 122743 is_a_theorem(implies(and(implies(implies(A,A),B),not(B)),c_0)). [para(122618(a,1),23840(a,1,2))]. 182.12/182.41 126896 -is_a_theorem(implies(not(and(implies(A,A),c_0)),B)) | is_a_theorem(B). [para(116639(a,1),7698(a,1,1))]. 182.12/182.41 128967 is_a_theorem(implies(implies(c_0,A),implies(and(implies(not(B),B),not(B)),A))). [resolve(122736,a,127,a)]. 182.12/182.41 129038 is_a_theorem(implies(implies(c_0,A),implies(and(B,not(implies(not(B),C))),A))). [resolve(122737,a,127,a)]. 182.12/182.41 137339 is_a_theorem(and(implies(c_0,A),implies(c_0,B))). [resolve(122670,a,255,a)]. 182.12/182.41 137374 is_a_theorem(implies(not(equiv(not(implies(c_0,A)),c_0)),B)). [resolve(137339,a,59494,a)]. 182.12/182.41 137557 is_a_theorem(equiv(not(implies(c_0,A)),c_0)). [resolve(137374,a,54102,a)]. 182.12/182.41 137649 not(implies(c_0,A)) = c_0. [resolve(137557,a,61,a),flip(a)]. 182.12/182.41 137651 implies(A,implies(c_0,B)) = not(and(A,c_0)). [para(137649(a,1),79(a,1,1,2)),flip(a)]. 182.12/182.41 138778 is_a_theorem(implies(and(implies(not(and(implies(A,A),c_0)),B),not(B)),c_0)). [para(116639(a,1),122743(a,1,1,1,1))]. 182.12/182.41 143078 is_a_theorem(implies(and(and(A,c_0),not(B)),c_0)). [para(122618(a,1),114336(a,1,2))]. 182.12/182.41 143146 is_a_theorem(implies(implies(c_0,A),implies(and(and(B,c_0),not(C)),A))). [resolve(143078,a,127,a)]. 182.12/182.41 166532 is_a_theorem(implies(not(equiv(c_0,not(not(A)))),A)). [para(254(a,1),114769(a,1,1))]. 182.12/182.41 166603 is_a_theorem(implies(implies(A,B),implies(not(equiv(c_0,not(not(A)))),B))). [resolve(166532,a,127,a)]. 182.12/182.41 177560 is_a_theorem(and(equiv(A,A),implies(not(not(c_0)),B))). [resolve(121677,a,255,a)]. 182.12/182.41 177605 is_a_theorem(implies(not(equiv(c_0,not(not(c_0)))),A)). [resolve(177560,a,59494,a),rewrite([122618(2)])]. 182.12/182.41 177670 is_a_theorem(equiv(c_0,not(not(c_0)))). [resolve(177605,a,54102,a)]. 182.12/182.41 177764 not(not(c_0)) = c_0. [resolve(177670,a,61,a)]. 182.12/182.41 177766 not(and(A,c_0)) = implies(A,not(c_0)). [para(177764(a,1),79(a,1,1,2))]. 182.12/182.41 177767 is_a_theorem(not(c_0)). [para(177764(a,1),119(a,1,1)),unit_del(a,116501)]. 182.12/182.41 177775 implies(implies(not(c_0),A),and(A,c_0)) = not(equiv(not(c_0),A)). [para(177764(a,1),254(a,1,2,2))]. 182.12/182.41 177777 is_a_theorem(implies(A,not(c_0))). [para(177764(a,1),3453(a,1,2,2,1)),rewrite([137651(5),177766(5),116639(6),177766(3)])]. 182.12/182.41 178468 is_a_theorem(implies(and(implies(implies(implies(A,A),not(c_0)),B),not(B)),c_0)). [back_rewrite(138778),rewrite([177766(4)])]. 182.12/182.41 178625 implies(A,implies(c_0,B)) = implies(A,not(c_0)). [back_rewrite(137651),rewrite([177766(6)])]. 182.12/182.41 178946 -is_a_theorem(implies(implies(implies(A,A),not(c_0)),B)) | is_a_theorem(B). [back_rewrite(126896),rewrite([177766(4)])]. 182.12/182.41 178995 implies(A,equiv(B,B)) = implies(A,not(c_0)). [back_rewrite(122697),rewrite([177766(5)])]. 182.12/182.41 179413 implies(A,implies(B,B)) = implies(A,not(c_0)). [back_rewrite(116639),rewrite([177766(5)])]. 182.12/182.41 180008 is_a_theorem(implies(implies(not(c_0),A),implies(B,A))). [resolve(177777,a,20315,a)]. 182.12/182.41 181011 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(not(c_0),B),C))). [resolve(180008,a,127,a)]. 182.12/182.41 193051 is_a_theorem(implies(and(and(A,c_0),not(B)),C)). [resolve(143146,a,115136,a)]. 182.12/182.41 204355 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(not(equiv(c_0,not(not(A)))),B)). [resolve(166603,a,70,b)]. 182.12/182.41 219327 is_a_theorem(implies(A,implies(implies(not(c_0),B),B))). [resolve(181011,a,17769,a)]. 182.12/182.41 219334 is_a_theorem(implies(implies(A,B),implies(implies(not(c_0),A),B))). [resolve(181011,a,13889,a)]. 182.12/182.41 219358 is_a_theorem(implies(implies(not(c_0),A),A)). [resolve(219327,a,178946,a)]. 182.12/182.41 219493 -is_a_theorem(implies(not(c_0),A)) | is_a_theorem(A). [resolve(219358,a,70,b)]. 182.12/182.41 223391 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(implies(not(c_0),A),B)). [resolve(219334,a,70,b)]. 182.12/182.41 224885 is_a_theorem(implies(implies(not(c_0),and(and(A,c_0),not(B))),C)). [resolve(223391,a,193051,a)]. 182.12/182.41 232658 is_a_theorem(and(not(c_0),implies(and(A,c_0),B))). [resolve(224885,a,255,a)]. 182.12/182.41 232694 is_a_theorem(implies(not(equiv(c_0,and(A,c_0))),B)). [resolve(232658,a,59494,a),rewrite([177764(3)])]. 182.12/182.41 232763 is_a_theorem(equiv(c_0,and(A,c_0))). [resolve(232694,a,54102,a)]. 182.12/182.41 232855 and(A,c_0) = c_0. [resolve(232763,a,61,a)]. 182.12/182.41 232895 implies(implies(not(c_0),A),c_0) = not(equiv(not(c_0),A)). [back_rewrite(177775),rewrite([232855(5)])]. 182.12/182.41 232896 implies(A,not(c_0)) = not(c_0). [back_rewrite(177766),rewrite([232855(2)]),flip(a)]. 182.12/182.41 232921 implies(A,implies(B,B)) = not(c_0). [back_rewrite(179413),rewrite([232896(5)])]. 182.12/182.41 232930 implies(A,equiv(B,B)) = not(c_0). [back_rewrite(178995),rewrite([232896(5)])]. 182.12/182.41 232949 implies(A,implies(c_0,B)) = not(c_0). [back_rewrite(178625),rewrite([232896(6)])]. 182.12/182.41 232957 is_a_theorem(implies(and(implies(not(c_0),A),not(A)),c_0)). [back_rewrite(178468),rewrite([232896(4)])]. 182.12/182.41 232969 and(not(c_0),implies(not(c_0),A)) = equiv(A,not(c_0)). [para(232896(a,1),89(a,1,1))]. 182.12/182.41 232970 and(implies(not(c_0),A),not(c_0)) = equiv(not(c_0),A). [para(232896(a,1),89(a,1,2))]. 182.12/182.41 235523 is_a_theorem(implies(implies(c_0,A),implies(and(implies(not(c_0),B),not(B)),A))). [resolve(232957,a,127,a)]. 182.12/182.41 235994 implies(not(c_0),c_0) = c_0. [para(122618(a,1),232895(a,2)),rewrite([232896(5)])]. 182.12/182.41 236017 not(equiv(not(c_0),implies(A,A))) = c_0. [para(232921(a,1),232895(a,1,1)),rewrite([235994(4)]),flip(a)]. 182.12/182.41 236018 not(equiv(not(c_0),equiv(A,A))) = c_0. [para(232930(a,1),232895(a,1,1)),rewrite([235994(4)]),flip(a)]. 182.12/182.41 236019 not(equiv(not(c_0),implies(c_0,A))) = c_0. [para(232949(a,1),232895(a,1,1)),rewrite([235994(4)]),flip(a)]. 182.12/182.41 236022 is_a_theorem(implies(implies(not(c_0),A),implies(implies(A,c_0),c_0))). [para(235994(a,1),95(a,1,2,2))]. 182.12/182.41 236047 is_a_theorem(implies(and(implies(A,c_0),not(c_0)),implies(implies(not(c_0),A),B))). [para(235994(a,1),22500(a,1,1,2,1))]. 182.12/182.41 236052 is_a_theorem(implies(A,implies(implies(implies(not(A),B),c_0),c_0))). [para(235994(a,1),60332(a,1,2,2))]. 182.12/182.41 236126 implies(A,equiv(not(c_0),implies(B,B))) = not(c_0). [para(236017(a,1),79(a,1,1,2)),rewrite([232855(2)]),flip(a)]. 182.12/182.41 236127 is_a_theorem(equiv(not(c_0),implies(A,A))). [para(236017(a,1),119(a,1,1)),rewrite([236126(6)]),unit_del(a,177767)]. 182.12/182.41 236174 implies(A,A) = not(c_0). [resolve(236127,a,61,a)]. 182.12/182.41 237224 equiv(A,A) = and(not(c_0),not(c_0)). [para(236174(a,1),89(a,1,1)),rewrite([236174(3)]),flip(a)]. 182.12/182.41 237225 is_a_theorem(implies(implies(A,B),implies(not(c_0),implies(A,B)))). [para(236174(a,1),95(a,1,2,1))]. 182.12/182.41 237226 implies(A,and(B,not(B))) = implies(A,c_0). [para(236174(a,1),126(a,1,1,2)),rewrite([79(4)]),flip(a)]. 182.12/182.41 237270 implies(A,equiv(not(c_0),equiv(B,B))) = not(c_0). [para(236018(a,1),79(a,1,1,2)),rewrite([232855(2)]),flip(a)]. 182.12/182.41 237271 is_a_theorem(equiv(not(c_0),equiv(A,A))). [para(236018(a,1),119(a,1,1)),rewrite([237270(6)]),unit_del(a,177767)]. 182.12/182.41 237343 equiv(A,A) = not(c_0). [resolve(237271,a,61,a)]. 182.12/182.41 237550 and(not(c_0),not(c_0)) = not(c_0). [back_rewrite(237224),rewrite([237343(1)]),flip(a)]. 182.12/182.41 237594 implies(A,equiv(not(c_0),implies(c_0,B))) = not(c_0). [para(236019(a,1),79(a,1,1,2)),rewrite([232855(2)]),flip(a)]. 182.12/182.41 237595 is_a_theorem(equiv(not(c_0),implies(c_0,A))). [para(236019(a,1),119(a,1,1)),rewrite([237594(7)]),unit_del(a,177767)]. 182.12/182.41 237746 implies(c_0,A) = not(c_0). [resolve(237595,a,61,a)]. 182.12/182.41 237970 is_a_theorem(implies(not(c_0),implies(and(implies(not(c_0),A),not(A)),B))). [back_rewrite(235523),rewrite([237746(2)])]. 182.12/182.41 237973 is_a_theorem(implies(not(c_0),implies(and(A,not(implies(not(A),B))),C))). [back_rewrite(129038),rewrite([237746(2)])]. 182.12/182.41 237974 is_a_theorem(implies(not(c_0),implies(and(implies(not(A),A),not(A)),B))). [back_rewrite(128967),rewrite([237746(2)])]. 182.12/182.41 237978 and(implies(A,c_0),not(c_0)) = equiv(A,c_0). [para(237746(a,1),89(a,1,2))]. 182.12/182.41 237979 is_a_theorem(implies(implies(A,c_0),implies(not(c_0),implies(A,B)))). [para(237746(a,1),95(a,1,2,1))]. 182.12/182.41 237980 implies(A,and(c_0,not(B))) = implies(A,c_0). [para(237746(a,1),126(a,1,1,2)),rewrite([79(4)]),flip(a)]. 182.12/182.41 237982 implies(not(c_0),and(A,not(c_0))) = not(equiv(c_0,A)). [para(237746(a,1),254(a,1,1))]. 182.12/182.41 238027 is_a_theorem(implies(and(A,not(c_0)),implies(not(equiv(not(A),c_0)),B))). [para(237746(a,1),26628(a,1,1,2))]. 182.12/182.41 238066 is_a_theorem(implies(equiv(A,c_0),implies(implies(not(c_0),A),B))). [back_rewrite(236047),rewrite([237978(5)])]. 182.12/182.41 238075 implies(implies(A,c_0),and(and(B,not(B)),not(A))) = not(equiv(A,and(B,not(B)))). [para(237226(a,1),254(a,1,1))]. 182.12/182.41 238100 implies(and(A,not(A)),c_0) = not(c_0). [para(237226(a,1),236174(a,1))]. 182.12/182.41 238519 equiv(and(A,not(A)),c_0) = not(c_0). [para(238100(a,1),89(a,1,1)),rewrite([237226(6),236174(5),237550(5)]),flip(a)]. 182.12/182.41 238543 and(A,not(A)) = c_0. [para(238519(a,1),61(a,1)),flip(b),unit_del(a,177767)]. 182.12/182.41 238547 implies(implies(A,c_0),c_0) = not(equiv(A,c_0)). [back_rewrite(238075),rewrite([238543(4),237980(6),238543(6)])]. 182.12/182.41 238559 is_a_theorem(implies(A,not(equiv(implies(not(A),B),c_0)))). [back_rewrite(236052),rewrite([238547(6)])]. 182.12/182.41 238570 is_a_theorem(implies(implies(not(c_0),A),not(equiv(A,c_0)))). [back_rewrite(236022),rewrite([238547(7)])]. 182.12/182.41 239027 is_a_theorem(implies(implies(A,implies(B,c_0)),implies(not(equiv(B,c_0)),implies(A,c_0)))). [para(238547(a,1),95(a,1,2,1))]. 182.12/182.41 239164 is_a_theorem(implies(A,implies(not(equiv(not(A),c_0)),implies(B,c_0)))). [para(238547(a,1),60332(a,1,2,1))]. 182.12/182.41 239973 -is_a_theorem(implies(not(c_0),A)) | is_a_theorem(not(equiv(A,c_0))). [resolve(238570,a,70,b)]. 182.12/182.41 240530 is_a_theorem(not(equiv(implies(A,implies(B,implies(not(A),C))),c_0))). [resolve(239973,a,65078,a)]. 182.12/182.41 240637 -is_a_theorem(implies(A,B)) | is_a_theorem(implies(not(c_0),implies(A,B))). [resolve(237225,a,70,b)]. 182.12/182.41 240895 is_a_theorem(implies(not(c_0),implies(equiv(A,c_0),implies(implies(not(c_0),A),B)))). [resolve(240637,a,238066,a)]. 182.12/182.41 244404 is_a_theorem(implies(A,implies(not(equiv(not(A),c_0)),c_0))). [para(235994(a,1),239164(a,1,2,2))]. 182.12/182.41 244467 -is_a_theorem(A) | is_a_theorem(implies(not(equiv(not(A),c_0)),c_0)). [resolve(244404,a,70,b)]. 182.12/182.41 246857 is_a_theorem(implies(and(implies(not(c_0),A),not(A)),B)). [resolve(237970,a,219493,a)]. 182.12/182.41 246888 is_a_theorem(implies(not(equiv(c_0,not(implies(implies(not(c_0),A),A)))),B)). [resolve(246857,a,204355,a),rewrite([79(7)])]. 182.12/182.41 246941 is_a_theorem(implies(and(A,not(implies(not(A),B))),C)). [resolve(237973,a,219493,a)]. 182.12/182.41 246959 is_a_theorem(implies(not(equiv(c_0,not(implies(A,implies(not(A),B))))),C)). [resolve(246941,a,204355,a),rewrite([79(6)])]. 182.12/182.41 246991 is_a_theorem(implies(and(implies(not(A),A),not(A)),B)). [resolve(237974,a,219493,a)]. 182.12/182.41 246998 is_a_theorem(implies(implies(not(c_0),and(implies(not(A),A),not(A))),B)). [resolve(246991,a,223391,a)]. 182.12/182.41 247618 is_a_theorem(equiv(c_0,not(implies(implies(not(c_0),A),A)))). [resolve(246888,a,54102,a)]. 182.12/182.41 247623 not(implies(implies(not(c_0),A),A)) = c_0. [resolve(247618,a,61,a)]. 182.12/182.41 247625 implies(A,implies(implies(not(c_0),B),B)) = not(c_0). [para(247623(a,1),79(a,1,1,2)),rewrite([232855(2)]),flip(a)]. 182.12/182.41 247636 equiv(implies(implies(not(c_0),A),A),not(c_0)) = not(c_0). [para(247625(a,1),232969(a,1,2)),rewrite([237550(5)]),flip(a)]. 182.12/182.41 247658 implies(implies(not(c_0),A),A) = not(c_0). [para(247636(a,1),61(a,1)),flip(b),unit_del(a,177767)]. 182.12/182.41 247661 and(implies(A,implies(not(c_0),A)),not(c_0)) = equiv(A,implies(not(c_0),A)). [para(247658(a,1),89(a,1,2))]. 182.12/182.41 247815 is_a_theorem(equiv(c_0,not(implies(A,implies(not(A),B))))). [resolve(246959,a,54102,a)]. 182.12/182.41 247824 not(implies(A,implies(not(A),B))) = c_0. [resolve(247815,a,61,a)]. 182.12/182.41 247890 implies(A,implies(B,implies(not(B),C))) = not(c_0). [para(247824(a,1),79(a,1,1,2)),rewrite([232855(2)]),flip(a)]. 182.12/182.41 247906 equiv(implies(A,implies(not(A),B)),not(c_0)) = not(c_0). [para(247890(a,1),232969(a,1,2)),rewrite([237550(5)]),flip(a)]. 182.12/182.41 247912 implies(A,implies(not(A),B)) = not(c_0). [para(247906(a,1),61(a,1)),flip(b),unit_del(a,177767)]. 182.12/182.41 247915 and(not(c_0),implies(implies(not(A),B),A)) = equiv(A,implies(not(A),B)). [para(247912(a,1),89(a,1,1))]. 182.12/182.41 247916 and(implies(implies(not(A),B),A),not(c_0)) = equiv(implies(not(A),B),A). [para(247912(a,1),89(a,1,2))]. 182.12/182.41 248036 is_a_theorem(equiv(A,implies(not(A),A))). [resolve(246998,a,255,a),rewrite([247915(6)])]. 182.12/182.41 248072 implies(not(A),A) = A. [resolve(248036,a,61,a)]. 182.12/182.41 248295 is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))). [para(248072(a,1),60332(a,1,2,1,1))]. 182.12/182.41 248418 is_a_theorem(implies(A,not(equiv(A,c_0)))). [para(248072(a,1),238559(a,1,2,1,1))]. 182.12/182.41 248422 is_a_theorem(implies(implies(not(A),c_0),implies(not(c_0),A))). [para(248072(a,1),237979(a,1,2,2))]. 182.12/182.41 248429 is_a_theorem(not(equiv(implies(A,implies(B,A)),c_0))). [para(248072(a,1),240530(a,1,1,1,2,2))]. 182.12/182.41 248473 is_a_theorem(implies(and(A,not(c_0)),equiv(not(A),c_0))). [para(248072(a,1),238027(a,1,2))]. 182.12/182.41 249710 -is_a_theorem(A) | is_a_theorem(not(equiv(A,c_0))). [resolve(248418,a,70,b)]. 182.12/182.41 249755 is_a_theorem(not(equiv(implies(A,not(equiv(A,c_0))),c_0))). [resolve(249710,a,248418,a)]. 182.12/182.41 251860 is_a_theorem(implies(A,implies(implies(A,B),B))). [para(248072(a,1),248295(a,1,2,2))]. 182.12/182.41 251909 is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))). [resolve(251860,a,127,a)]. 182.12/182.41 252602 is_a_theorem(not(equiv(implies(implies(not(A),c_0),implies(not(c_0),A)),c_0))). [resolve(248422,a,249710,a)]. 182.12/182.41 252704 is_a_theorem(implies(not(equiv(A,c_0)),not(equiv(c_0,A)))). [para(237982(a,1),248422(a,1,2)),rewrite([79(4),238547(4)])]. 182.12/182.41 252817 -is_a_theorem(and(A,not(c_0))) | is_a_theorem(equiv(not(A),c_0)). [resolve(248473,a,70,b)]. 182.12/182.41 253491 -is_a_theorem(not(equiv(A,c_0))) | is_a_theorem(not(equiv(c_0,A))). [resolve(252704,a,70,b)]. 182.12/182.41 253758 is_a_theorem(not(equiv(c_0,implies(A,not(equiv(A,c_0)))))). [resolve(253491,a,249755,a)]. 182.12/182.41 253759 is_a_theorem(not(equiv(c_0,implies(A,implies(B,A))))). [resolve(253491,a,248429,a)]. 182.12/182.41 253802 is_a_theorem(and(implies(A,implies(B,A)),not(c_0))). [resolve(253759,a,115131,a)]. 182.12/182.41 253819 is_a_theorem(equiv(not(implies(A,implies(B,A))),c_0)). [resolve(253802,a,252817,a)]. 182.12/182.41 253874 not(implies(A,implies(B,A))) = c_0. [resolve(253819,a,61,a),flip(a)]. 182.12/182.41 253896 implies(A,implies(B,implies(C,B))) = not(c_0). [para(253874(a,1),79(a,1,1,2)),rewrite([232855(2)]),flip(a)]. 182.12/182.41 253899 implies(A,implies(B,A)) = not(c_0). [para(253874(a,1),248072(a,1,1)),rewrite([253896(4)]),flip(a)]. 182.12/182.41 253901 equiv(A,implies(not(c_0),A)) = not(c_0). [back_rewrite(247661),rewrite([253899(4),237550(5)]),flip(a)]. 182.12/182.41 253926 implies(not(c_0),A) = A. [para(253901(a,1),61(a,1)),unit_del(a,177767)]. 182.12/182.41 253951 is_a_theorem(not(equiv(implies(implies(not(A),c_0),A),c_0))). [back_rewrite(252602),rewrite([253926(6)])]. 182.12/182.41 254018 is_a_theorem(implies(equiv(A,c_0),implies(A,B))). [back_rewrite(240895),rewrite([253926(7),253926(7)])]. 182.12/182.41 254072 not(equiv(c_0,A)) = and(A,not(c_0)). [back_rewrite(237982),rewrite([253926(6)]),flip(a)]. 182.12/182.41 254078 equiv(not(c_0),A) = and(A,not(c_0)). [back_rewrite(232970),rewrite([253926(3)]),flip(a)]. 182.12/182.41 254091 is_a_theorem(and(implies(A,not(equiv(A,c_0))),not(c_0))). [back_rewrite(253758),rewrite([254072(7)])]. 182.12/182.41 254098 -is_a_theorem(not(equiv(A,c_0))) | is_a_theorem(and(A,not(c_0))). [back_rewrite(253491),rewrite([254072(7)])]. 182.12/182.41 255726 is_a_theorem(implies(equiv(not(A),c_0),A)). [para(248072(a,1),254018(a,1,2))]. 182.12/182.41 255737 is_a_theorem(implies(not(equiv(not(implies(equiv(not(A),c_0),A)),c_0)),c_0)). [resolve(255726,a,244467,a)]. 182.12/182.41 256682 not(and(A,and(B,not(c_0)))) = implies(A,equiv(c_0,B)). [para(254072(a,1),79(a,1,1,2))]. 182.12/182.41 257011 -is_a_theorem(and(A,not(c_0))) | not(c_0) = A. [para(254078(a,1),61(a,1)),flip(b)]. 182.12/182.41 259757 implies(A,not(equiv(A,c_0))) = not(c_0). [resolve(254091,a,257011,a),flip(a)]. 182.12/182.41 259761 and(implies(not(equiv(A,c_0)),A),not(c_0)) = equiv(not(equiv(A,c_0)),A). [para(259757(a,1),89(a,1,2))]. 182.12/182.41 260113 is_a_theorem(equiv(implies(not(A),c_0),A)). [resolve(254098,a,253951,a),rewrite([247916(7)])]. 182.12/182.41 260152 implies(not(A),c_0) = A. [resolve(260113,a,61,a),flip(a)]. 182.12/182.41 260199 is_a_theorem(equiv(not(implies(equiv(not(A),c_0),A)),c_0)). [back_rewrite(255737),rewrite([260152(10)])]. 182.12/182.41 260304 implies(implies(A,B),c_0) = and(A,not(B)). [para(79(a,1),260152(a,1,1))]. 182.12/182.41 260305 equiv(not(A),c_0) = and(A,not(c_0)). [para(260152(a,1),89(a,1,1)),rewrite([237746(3)]),flip(a)]. 182.12/182.41 260309 implies(A,and(not(B),not(c_0))) = not(and(A,B)). [para(260152(a,1),126(a,1,1,2)),flip(a)]. 182.12/182.41 260354 implies(and(A,not(c_0)),c_0) = equiv(c_0,A). [para(254072(a,1),260152(a,1,1))]. 182.12/182.41 260417 not(equiv(A,c_0)) = and(A,not(c_0)). [back_rewrite(238547),rewrite([260304(4)]),flip(a)]. 182.12/182.41 260544 is_a_theorem(and(implies(and(A,not(c_0)),A),not(c_0))). [back_rewrite(260199),rewrite([260305(3),260305(7)])]. 182.12/182.41 261830 and(implies(and(A,not(c_0)),A),not(c_0)) = equiv(and(A,not(c_0)),A). [back_rewrite(259761),rewrite([260417(3),260417(10)])]. 182.19/182.42 262272 is_a_theorem(implies(implies(A,implies(B,c_0)),implies(and(B,not(c_0)),implies(A,c_0)))). [back_rewrite(239027),rewrite([260417(6)])]. 182.19/182.42 262286 is_a_theorem(equiv(and(A,not(c_0)),A)). [back_rewrite(260544),rewrite([261830(7)])]. 182.19/182.42 263245 and(A,not(c_0)) = A. [resolve(262286,a,61,a),flip(a)]. 182.19/182.42 263260 is_a_theorem(implies(implies(A,implies(B,c_0)),implies(B,implies(A,c_0)))). [back_rewrite(262272),rewrite([263245(6)])]. 182.19/182.42 263384 equiv(c_0,A) = implies(A,c_0). [back_rewrite(260354),rewrite([263245(3)]),flip(a)]. 182.19/182.42 263394 not(and(A,B)) = implies(A,not(B)). [back_rewrite(260309),rewrite([263245(4)]),flip(a)]. 182.19/182.42 263616 implies(A,implies(B,c_0)) = implies(A,not(B)). [back_rewrite(256682),rewrite([263245(3),263394(2),263384(4)]),flip(a)]. 182.19/182.42 263672 equiv(not(c_0),A) = A. [back_rewrite(254078),rewrite([263245(6)])]. 182.19/182.42 263673 not(implies(A,c_0)) = A. [back_rewrite(254072),rewrite([263384(2),263245(6)])]. 182.19/182.42 264167 is_a_theorem(implies(implies(A,not(B)),implies(B,not(A)))). [back_rewrite(263260),rewrite([263616(3),263616(5)])]. 182.19/182.42 266298 implies(A,c_0) = not(A). [para(263672(a,1),254(a,2,1)),rewrite([253926(3),177764(3),232855(2)])]. 182.19/182.42 266352 not(not(A)) = A. [back_rewrite(263673),rewrite([266298(2)])]. 182.19/182.42 268764 is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))). [para(266352(a,1),264167(a,1,2,2))]. 182.19/182.42 270507 is_a_theorem(implies(implies(implies(A,not(B)),not(C)),implies(C,and(A,B)))). [para(263394(a,1),268764(a,1,1,1))]. 182.19/182.42 275320 -is_a_theorem(implies(implies(implies(c32,A),A),implies(c33,and(c32,c33)))). [ur(70,b,251909,a,c,72,a)]. 182.19/182.42 275321 $F. [resolve(275320,a,270507,a)]. 182.19/182.42 182.19/182.42 % SZS output end Refutation 182.19/182.42 ============================== end of proof ========================== 182.19/182.42 182.19/182.42 ============================== STATISTICS ============================ 182.19/182.42 182.19/182.42 Given=9536. Generated=14338204. Kept=275271. proofs=1. 182.19/182.42 Usable=567. Sos=6678. Demods=510. Limbo=50, Disabled=268047. Hints=0. 182.19/182.42 Megabytes=188.15. 182.19/182.42 User_CPU=174.67, System_CPU=7.27, Wall_clock=182. 182.19/182.42 182.19/182.42 ============================== end of statistics ===================== 182.19/182.43 182.19/182.43 ============================== end of search ========================= 182.19/182.43 182.19/182.43 THEOREM PROVED 182.19/182.43 % SZS status Theorem 182.19/182.43 182.19/182.43 Exiting with 1 proof. 182.19/182.43 182.19/182.43 Process 4139 exit (max_proofs) Sat Jul 14 06:23:27 2018 182.19/182.43 Prover9 interrupted 182.19/182.43 EOF