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 0.03/0.23 % Computer : n068.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:48:55 CDT 2018 0.03/0.23 % CPUTime : 0.07/0.47 ============================== Prover9 =============================== 0.07/0.47 Prover9 (32) version 2009-11A, November 2009. 0.07/0.47 Process 36351 was started by sandbox2 on n068.star.cs.uiowa.edu, 0.07/0.47 Sat Jul 14 04:48:55 2018 0.07/0.47 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_36315_n068.star.cs.uiowa.edu". 0.07/0.47 ============================== end of head =========================== 0.07/0.47 0.07/0.47 ============================== INPUT ================================= 0.07/0.47 0.07/0.47 % Reading from file /tmp/Prover9_36315_n068.star.cs.uiowa.edu 0.07/0.47 0.07/0.47 set(prolog_style_variables). 0.07/0.47 set(auto2). 0.07/0.47 % set(auto2) -> set(auto). 0.07/0.47 % set(auto) -> set(auto_inference). 0.07/0.47 % set(auto) -> set(auto_setup). 0.07/0.47 % set(auto_setup) -> set(predicate_elim). 0.07/0.47 % set(auto_setup) -> assign(eq_defs, unfold). 0.07/0.47 % set(auto) -> set(auto_limits). 0.07/0.47 % set(auto_limits) -> assign(max_weight, "100.000"). 0.07/0.47 % set(auto_limits) -> assign(sos_limit, 20000). 0.07/0.47 % set(auto) -> set(auto_denials). 0.07/0.47 % set(auto) -> set(auto_process). 0.07/0.47 % set(auto2) -> assign(new_constants, 1). 0.07/0.47 % set(auto2) -> assign(fold_denial_max, 3). 0.07/0.47 % set(auto2) -> assign(max_weight, "200.000"). 0.07/0.47 % set(auto2) -> assign(max_hours, 1). 0.07/0.47 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.07/0.47 % set(auto2) -> assign(max_seconds, 0). 0.07/0.47 % set(auto2) -> assign(max_minutes, 5). 0.07/0.47 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.07/0.47 % set(auto2) -> set(sort_initial_sos). 0.07/0.47 % set(auto2) -> assign(sos_limit, -1). 0.07/0.47 % set(auto2) -> assign(lrs_ticks, 3000). 0.07/0.47 % set(auto2) -> assign(max_megs, 400). 0.07/0.47 % set(auto2) -> assign(stats, some). 0.07/0.47 % set(auto2) -> clear(echo_input). 0.07/0.47 % set(auto2) -> set(quiet). 0.07/0.47 % set(auto2) -> clear(print_initial_clauses). 0.07/0.47 % set(auto2) -> clear(print_given). 0.07/0.47 assign(lrs_ticks,-1). 0.07/0.47 assign(sos_limit,10000). 0.07/0.47 assign(order,kbo). 0.07/0.47 set(lex_order_vars). 0.07/0.47 clear(print_given). 0.07/0.47 0.07/0.47 % formulas(sos). % not echoed (33 formulas) 0.07/0.47 0.07/0.47 ============================== end of input ========================== 0.07/0.47 0.07/0.47 % From the command line: assign(max_seconds, 300). 0.07/0.47 0.07/0.47 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.07/0.47 0.07/0.47 % Formulas that are not ordinary clauses: 0.07/0.47 1 (all Ax all C (status(Ax,C,unp) <-> (-(exists I1 model(I1,Ax)) -> -(exists I2 model(I2,C))))) # label(unp) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 2 (all Ax all C (status(Ax,C,wtc) <-> (exists I1 model(I1,Ax)) & (exists I2 -model(I2,Ax)) & (all I3 model(I3,C)))) # label(wtc) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 3 (all Ax all C (status(Ax,C,sap) <-> ((exists I1 model(I1,Ax)) -> (exists I2 model(I2,C))))) # label(sap) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 4 (all Ax all C (((exists I2 model(I2,C)) <-> (exists I1 model(I1,Ax))) <-> status(Ax,C,esa))) # label(esa) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 5 (all Ax all C ((all I1 (model(I1,Ax) -> model(I1,C))) <-> status(Ax,C,thm))) # label(thm) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 6 (all Ax all C (-(exists I1 model(I1,Ax)) & (exists I2 model(I2,C)) <-> status(Ax,C,sca))) # label(sca) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 7 (all Ax all C (status(Ax,C,wth) <-> (exists I1 model(I1,Ax)) & (exists I4 -model(I4,C)) & (exists I3 (model(I3,C) & -model(I3,Ax))) & (all I2 (model(I2,Ax) -> model(I2,C))))) # label(wth) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 8 (all Ax all C (status(Ax,C,eth) <-> (all I3 (model(I3,C) <-> model(I3,Ax))) & (exists I2 -model(I2,Ax)) & (exists I1 model(I1,Ax)))) # label(eth) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 9 (all Ax all C ((exists I1 (model(I1,Ax) & model(I1,C))) <-> status(Ax,C,sat))) # label(sat) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 10 (all Ax all C ((exists I3 -model(I3,C)) & (exists I2 model(I2,C)) & -(exists I1 model(I1,Ax)) <-> status(Ax,C,wca))) # label(wca) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 11 (all Ax all C ((exists I1 (model(I1,Ax) & model(I1,not(C)))) <-> status(Ax,C,csa))) # label(csa) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 12 (all Ax all C (status(Ax,C,cax) <-> -(exists I1 model(I1,Ax)))) # label(cax) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 13 (all Ax all C (status(Ax,C,tca) <-> -(exists I1 model(I1,Ax)) & (all I2 model(I2,C)))) # label(tca) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 14 (all Ax all C ((all I1 (model(I1,Ax) & model(I1,C))) <-> status(Ax,C,tau))) # label(tau) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 15 (all Ax all C (status(Ax,C,tac) <-> (exists I1 model(I1,Ax)) & (all I2 model(I2,C)))) # label(tac) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 16 (all Ax all C (status(Ax,C,uns) <-> (all I2 model(I2,not(C))) & (all I1 model(I1,Ax)))) # label(uns) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 17 (all Ax all C (status(Ax,C,wec) <-> (exists I1 model(I1,Ax)) & (exists I3 (-model(I3,Ax) & model(I3,C))) & (all I2 (model(I2,Ax) -> model(I2,C))))) # label(wec) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 18 (all Ax all C ((exists I1 (model(I1,C) & model(I1,Ax))) & (exists I2 (model(I2,Ax) & model(I2,not(C)))) <-> status(Ax,C,noc))) # label(noc) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 19 (all Ax all C (status(Ax,C,eqv) <-> (all I2 (model(I2,Ax) <-> model(I2,C))) & (exists I1 model(I1,Ax)))) # label(eqv) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 20 (all S1 all S2 ((all Ax all C -(status(Ax,C,S2) <-> status(Ax,C,S1))) <-> xora(S1,S2))) # label(xora) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 21 (exists I1 exists Ax exists C (-model(I1,C) & (exists I2 model(I2,C)) & model(I1,Ax))) # label(non_thm_spt) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 22 (all S1 all S2 (nevera(S1,S2) <-> (all Ax all C (status(Ax,C,S1) -> -status(Ax,C,S2))))) # label(nevera) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 23 (exists F ((exists I2 -model(I2,F)) & (exists I1 model(I1,F)))) # label(satisfiable) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 24 (all S1 all S2 (isa(S1,S2) <-> (all Ax all C (status(Ax,C,S1) -> status(Ax,C,S2))))) # label(isa) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 25 (all S1 all S2 (nota(S1,S2) <-> (exists Ax exists C (status(Ax,C,S1) & -status(Ax,C,S2))))) # label(nota) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 26 (exists Ax exists C ((exists I2 (-model(I2,C) | -model(I2,Ax))) & (exists I1 (model(I1,C) & model(I1,Ax))))) # label(sat_non_taut_pair) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 27 (exists Ax exists C ((all I2 (model(I2,Ax) -> model(I2,C))) & (exists I3 (-model(I3,Ax) & model(I3,C))) & (exists I4 -model(I4,C)) & (exists I1 model(I1,Ax)))) # label(mixed_pair) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 28 (all S1 all S2 ((exists Ax exists C (status(Ax,C,S1) & status(Ax,C,S2))) <-> mighta(S1,S2))) # label(mighta) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 29 (exists F all I -model(I,F)) # label(contradiction) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 30 (exists F all I model(I,F)) # label(tautology) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 31 (all I all F (-model(I,not(F)) <-> model(I,F))) # label(not) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 32 (all I all F -(model(I,F) <-> model(I,not(F)))) # label(completeness) # label(axiom) # label(non_clause). [assumption]. 0.07/0.47 0.07/0.47 ============================== end of process non-clausal formulas === 0.07/0.47 0.07/0.47 ============================== PROCESS INITIAL CLAUSES =============== 0.07/0.47 0.07/0.47 ============================== PREDICATE ELIMINATION ================= 0.07/0.47 33 status(A,B,C) | status(A,B,D) | -xora(D,C) # label(xora) # label(axiom). [clausify(20)]. 0.07/0.47 34 -status(f42(A,B),f43(A,B),B) | status(f42(A,B),f43(A,B),A) | xora(A,B) # label(xora) # label(axiom). [clausify(20)]. 0.07/0.47 35 status(f42(A,B),f43(A,B),B) | -status(f42(A,B),f43(A,B),A) | xora(A,B) # label(xora) # label(axiom). [clausify(20)]. 0.07/0.47 Derived: status(A,B,C) | status(A,B,D) | -status(f42(D,C),f43(D,C),C) | status(f42(D,C),f43(D,C),D). [resolve(33,c,34,c)]. 0.07/0.47 Derived: status(A,B,C) | status(A,B,D) | status(f42(D,C),f43(D,C),C) | -status(f42(D,C),f43(D,C),D). [resolve(33,c,35,c)]. 0.07/0.47 36 -status(A,B,C) | -status(A,B,D) | -xora(D,C) # label(xora) # label(axiom). [clausify(20)]. 2.06/2.25 Derived: -status(A,B,C) | -status(A,B,D) | -status(f42(D,C),f43(D,C),C) | status(f42(D,C),f43(D,C),D). [resolve(36,c,34,c)]. 2.06/2.25 Derived: -status(A,B,C) | -status(A,B,D) | status(f42(D,C),f43(D,C),C) | -status(f42(D,C),f43(D,C),D). [resolve(36,c,35,c)]. 2.06/2.25 37 nevera(A,B) | status(f44(A,B),f45(A,B),A) # label(nevera) # label(axiom). [clausify(22)]. 2.06/2.25 38 -nevera(A,B) | -status(C,D,A) | -status(C,D,B) # label(nevera) # label(axiom). [clausify(22)]. 2.06/2.25 Derived: status(f44(A,B),f45(A,B),A) | -status(C,D,A) | -status(C,D,B). [resolve(37,a,38,a)]. 2.06/2.25 39 nevera(A,B) | status(f44(A,B),f45(A,B),B) # label(nevera) # label(axiom). [clausify(22)]. 2.06/2.25 Derived: status(f44(A,B),f45(A,B),B) | -status(C,D,A) | -status(C,D,B). [resolve(39,a,38,a)]. 2.06/2.25 40 isa(A,B) | status(f46(A,B),f47(A,B),A) # label(isa) # label(axiom). [clausify(24)]. 2.06/2.25 41 -isa(A,B) | -status(C,D,A) | status(C,D,B) # label(isa) # label(axiom). [clausify(24)]. 2.06/2.25 Derived: status(f46(A,B),f47(A,B),A) | -status(C,D,A) | status(C,D,B). [resolve(40,a,41,a)]. 2.06/2.25 42 isa(A,B) | -status(f46(A,B),f47(A,B),B) # label(isa) # label(axiom). [clausify(24)]. 2.06/2.25 Derived: -status(f46(A,B),f47(A,B),B) | -status(C,D,A) | status(C,D,B). [resolve(42,a,41,a)]. 2.06/2.25 43 nota(A,B) | -status(C,D,A) | status(C,D,B) # label(nota) # label(axiom). [clausify(25)]. 2.06/2.25 44 -nota(A,B) | status(f48(A,B),f49(A,B),A) # label(nota) # label(axiom). [clausify(25)]. 2.06/2.25 45 -nota(A,B) | -status(f48(A,B),f49(A,B),B) # label(nota) # label(axiom). [clausify(25)]. 2.06/2.25 Derived: -status(A,B,C) | status(A,B,D) | status(f48(C,D),f49(C,D),C). [resolve(43,a,44,a)]. 2.06/2.25 Derived: -status(A,B,C) | status(A,B,D) | -status(f48(C,D),f49(C,D),D). [resolve(43,a,45,a)]. 2.06/2.25 46 -nota(noc,thm) # label(nota_noc_thm) # label(negated_conjecture). [assumption]. 2.06/2.25 Derived: -status(A,B,noc) | status(A,B,thm). [resolve(46,a,43,a)]. 2.06/2.25 47 status(f50(A,B),f51(A,B),A) | -mighta(A,B) # label(mighta) # label(axiom). [clausify(28)]. 2.06/2.25 48 -status(A,B,C) | -status(A,B,D) | mighta(C,D) # label(mighta) # label(axiom). [clausify(28)]. 2.06/2.25 Derived: status(f50(A,B),f51(A,B),A) | -status(C,D,A) | -status(C,D,B). [resolve(47,b,48,c)]. 2.06/2.25 49 status(f50(A,B),f51(A,B),B) | -mighta(A,B) # label(mighta) # label(axiom). [clausify(28)]. 2.06/2.25 Derived: status(f50(A,B),f51(A,B),B) | -status(C,D,A) | -status(C,D,B). [resolve(49,b,48,c)]. 2.06/2.25 2.06/2.25 ============================== end predicate elimination ============= 2.06/2.25 2.06/2.25 Auto_denials: (non-Horn, no changes). 2.06/2.25 2.06/2.25 Term ordering decisions: 2.06/2.25 2.06/2.25 % Assigning unary symbol not kb_weight 0 and highest precedence (91). 2.06/2.25 Function symbol KB weights: noc=1. eqv=1. eth=1. wec=1. wth=1. esa=1. thm=1. csa=1. sap=1. sat=1. tac=1. tau=1. unp=1. uns=1. wtc=1. sca=1. tca=1. wca=1. cax=1. 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. 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. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1. f25=1. f26=1. f27=1. f28=1. f29=1. f30=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. f41=1. f42=1. f43=1. f44=1. f45=1. f46=1. f47=1. f48=1. f49=1. f50=1. f51=1. not=0. 2.06/2.25 2.06/2.25 ============================== end of process initial clauses ======== 2.06/2.25 2.06/2.25 ============================== CLAUSES FOR SEARCH ==================== 2.06/2.25 2.06/2.25 ============================== end of clauses for search ============= 2.06/2.25 2.06/2.25 ============================== SEARCH ================================ 2.06/2.25 2.06/2.25 % Starting search at 0.02 seconds. 2.06/2.25 2.06/2.25 Low Water (keep): wt=24.000, iters=3363 2.06/2.25 2.06/2.25 Low Water (keep): wt=21.000, iters=3356 2.06/2.25 2.06/2.25 Low Water (keep): wt=20.000, iters=3347 2.06/2.25 2.06/2.25 Low Water (keep): wt=18.000, iters=3340 2.06/2.25 2.06/2.25 Low Water (keep): wt=17.000, iters=3336 2.06/2.25 2.06/2.25 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 57 (0.00 of 0.84 sec). 2.06/2.25 2.06/2.25 Low Water (keep): wt=16.000, iters=3357 2.06/2.25 2.06/2.25 Low Water (keep): wt=15.000, iters=3336 2.06/2.25 2.06/2.25 Low Water (keep): wt=14.000, iters=3338 2.06/2.25 2.06/2.25 Low Water (keep): wt=13.000, iters=3376 2.06/2.25 2.06/2.25 Low Water (displace): id=11098, wt=12.000 2.06/2.25 2.06/2.25 Low Water (displace): id=11100, wt=11.000 2.06/2.25 2.06/2.25 Low Water (displace): id=11208, wt=10.000 2.06/2.25 2.06/2.25 Low Water (displace): id=11352, wt=9.000 2.06/2.25 2.06/2.25 Low Water (displace): id=13365, wt=7.000 2.57/2.86 2.57/2.86 ============================== PROOF ================================= 2.57/2.86 % SZS status Theorem 2.57/2.86 % SZS output start Refutation 2.57/2.86 2.57/2.86 % Proof 1 at 2.32 (+ 0.08) seconds. 2.57/2.86 % Length of proof is 22. 2.57/2.86 % Level of proof is 8. 2.57/2.86 % Maximum clause weight is 17.000. 2.57/2.86 % Given clauses 1490. 2.57/2.86 2.57/2.86 5 (all Ax all C ((all I1 (model(I1,Ax) -> model(I1,C))) <-> status(Ax,C,thm))) # label(thm) # label(axiom) # label(non_clause). [assumption]. 2.57/2.86 18 (all Ax all C ((exists I1 (model(I1,C) & model(I1,Ax))) & (exists I2 (model(I2,Ax) & model(I2,not(C)))) <-> status(Ax,C,noc))) # label(noc) # label(axiom) # label(non_clause). [assumption]. 2.57/2.86 21 (exists I1 exists Ax exists C (-model(I1,C) & (exists I2 model(I2,C)) & model(I1,Ax))) # label(non_thm_spt) # label(axiom) # label(non_clause). [assumption]. 2.57/2.86 25 (all S1 all S2 (nota(S1,S2) <-> (exists Ax exists C (status(Ax,C,S1) & -status(Ax,C,S2))))) # label(nota) # label(axiom) # label(non_clause). [assumption]. 2.57/2.86 30 (exists F all I model(I,F)) # label(tautology) # label(axiom) # label(non_clause). [assumption]. 2.57/2.86 31 (all I all F (-model(I,not(F)) <-> model(I,F))) # label(not) # label(axiom) # label(non_clause). [assumption]. 2.57/2.86 43 nota(A,B) | -status(C,D,A) | status(C,D,B) # label(nota) # label(axiom). [clausify(25)]. 2.57/2.86 46 -nota(noc,thm) # label(nota_noc_thm) # label(negated_conjecture). [assumption]. 2.57/2.86 66 -model(A,B) | model(A,C) | -status(B,C,thm) # label(thm) # label(axiom). [clausify(5)]. 2.57/2.86 113 -model(A,B) | -model(A,C) | -model(D,C) | -model(D,not(B)) | status(C,B,noc) # label(noc) # label(axiom). [clausify(18)]. 2.57/2.86 123 -model(c1,c3) # label(non_thm_spt) # label(axiom). [clausify(21)]. 2.57/2.86 124 model(c4,c3) # label(non_thm_spt) # label(axiom). [clausify(21)]. 2.57/2.86 137 model(A,c18) # label(tautology) # label(axiom). [clausify(30)]. 2.57/2.86 138 model(A,not(B)) | model(A,B) # label(not) # label(axiom). [clausify(31)]. 2.57/2.86 150 -status(A,B,noc) | status(A,B,thm). [resolve(46,a,43,a)]. 2.57/2.86 183 -model(c4,A) | -model(B,A) | -model(B,not(c3)) | status(A,c3,noc). [resolve(124,a,113,a)]. 2.57/2.86 1374 -model(A,not(c3)) | status(c18,c3,noc). [resolve(183,a,137,a),unit_del(a,137)]. 2.57/2.86 15441 status(c18,c3,noc) | model(A,c3). [resolve(1374,a,138,a)]. 2.57/2.86 15444 model(A,c3) | status(c18,c3,thm). [resolve(15441,a,150,a)]. 2.57/2.86 15457 model(A,c3) | model(B,c3). [resolve(15444,b,66,c),unit_del(b,137)]. 2.57/2.86 15458 model(A,c3). [factor(15457,a,b)]. 2.57/2.86 15459 $F. [resolve(15458,a,123,a)]. 2.57/2.86 2.57/2.86 % SZS output end Refutation 2.57/2.86 ============================== end of proof ========================== 2.57/2.86 2.57/2.86 ============================== STATISTICS ============================ 2.57/2.86 2.57/2.86 Given=1490. Generated=137739. Kept=15409. proofs=1. 2.57/2.86 Usable=1490. Sos=9998. Demods=0. Limbo=1, Disabled=4041. Hints=0. 2.57/2.86 Megabytes=16.49. 2.57/2.86 User_CPU=2.32, System_CPU=0.08, Wall_clock=3. 2.57/2.86 2.57/2.86 ============================== end of statistics ===================== 2.57/2.86 2.57/2.86 ============================== end of search ========================= 2.57/2.86 2.57/2.86 THEOREM PROVED 2.57/2.86 % SZS status Theorem 2.57/2.86 2.57/2.86 Exiting with 1 proof. 2.57/2.86 2.57/2.86 Process 36351 exit (max_proofs) Sat Jul 14 04:48:58 2018 2.57/2.86 Prover9 interrupted 2.68/2.86 EOF