0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n012.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 180 0.12/0.33 % DateTime : Thu Aug 29 09:59:56 EDT 2019 0.12/0.33 % CPUTime : 0.44/1.03 ============================== Prover9 =============================== 0.44/1.03 Prover9 (32) version 2009-11A, November 2009. 0.44/1.03 Process 3228 was started by sandbox on n012.cluster.edu, 0.44/1.03 Thu Aug 29 09:59:57 2019 0.44/1.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_3075_n012.cluster.edu". 0.44/1.03 ============================== end of head =========================== 0.44/1.03 0.44/1.03 ============================== INPUT ================================= 0.44/1.03 0.44/1.03 % Reading from file /tmp/Prover9_3075_n012.cluster.edu 0.44/1.03 0.44/1.03 set(prolog_style_variables). 0.44/1.03 set(auto2). 0.44/1.03 % set(auto2) -> set(auto). 0.44/1.03 % set(auto) -> set(auto_inference). 0.44/1.03 % set(auto) -> set(auto_setup). 0.44/1.03 % set(auto_setup) -> set(predicate_elim). 0.44/1.03 % set(auto_setup) -> assign(eq_defs, unfold). 0.44/1.03 % set(auto) -> set(auto_limits). 0.44/1.03 % set(auto_limits) -> assign(max_weight, "100.000"). 0.44/1.03 % set(auto_limits) -> assign(sos_limit, 20000). 0.44/1.03 % set(auto) -> set(auto_denials). 0.44/1.03 % set(auto) -> set(auto_process). 0.44/1.03 % set(auto2) -> assign(new_constants, 1). 0.44/1.03 % set(auto2) -> assign(fold_denial_max, 3). 0.44/1.03 % set(auto2) -> assign(max_weight, "200.000"). 0.44/1.03 % set(auto2) -> assign(max_hours, 1). 0.44/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.44/1.03 % set(auto2) -> assign(max_seconds, 0). 0.44/1.03 % set(auto2) -> assign(max_minutes, 5). 0.44/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.44/1.03 % set(auto2) -> set(sort_initial_sos). 0.44/1.03 % set(auto2) -> assign(sos_limit, -1). 0.44/1.03 % set(auto2) -> assign(lrs_ticks, 3000). 0.44/1.03 % set(auto2) -> assign(max_megs, 400). 0.44/1.03 % set(auto2) -> assign(stats, some). 0.44/1.03 % set(auto2) -> clear(echo_input). 0.44/1.03 % set(auto2) -> set(quiet). 0.44/1.03 % set(auto2) -> clear(print_initial_clauses). 0.44/1.03 % set(auto2) -> clear(print_given). 0.44/1.03 assign(lrs_ticks,-1). 0.44/1.03 assign(sos_limit,10000). 0.44/1.03 assign(order,kbo). 0.44/1.03 set(lex_order_vars). 0.44/1.03 clear(print_given). 0.44/1.03 0.44/1.03 % formulas(sos). % not echoed (48 formulas) 0.44/1.03 0.44/1.03 ============================== end of input ========================== 0.44/1.03 0.44/1.03 % From the command line: assign(max_seconds, 180). 0.44/1.03 0.44/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.44/1.03 0.44/1.03 % Formulas that are not ordinary clauses: 0.44/1.03 1 (all Fluent all Time (-(exists Event (happens(Event,Time) & terminates(Event,Fluent,Time))) & -releasedAt(Fluent,plus(Time,n1)) & holdsAt(Fluent,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(keep_holding) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 2 (all Event all Time1 all Fluent1 all Time2 all Fluent2 (happens(Event,Time1) & -startedIn(Time1,Fluent1,plus(Time1,Time2)) & antitrajectory(Fluent1,Time1,Fluent2,Time2) & less(n0,Time2) & terminates(Event,Fluent1,Time1) -> holdsAt(Fluent2,plus(Time1,Time2)))) # label(antitrajectory) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 3 (all Event all Time all Fluent (releases(Event,Fluent,Time) & happens(Event,Time) -> releasedAt(Fluent,plus(Time,n1)))) # label(happens_releases) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 4 (all Event all Time all Fluent (initiates(Event,Fluent,Time) & happens(Event,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(happens_holds) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 5 (all Fluent all Time (-(exists Event (happens(Event,Time) & initiates(Event,Fluent,Time))) & -releasedAt(Fluent,plus(Time,n1)) & -holdsAt(Fluent,Time) -> -holdsAt(Fluent,plus(Time,n1)))) # label(keep_not_holding) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 6 (all Event all Time all Fluent (terminates(Event,Fluent,Time) & happens(Event,Time) -> -holdsAt(Fluent,plus(Time,n1)))) # label(happens_terminates_not_holds) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 7 (all Time1 all Fluent all Time2 (stoppedIn(Time1,Fluent,Time2) <-> (exists Event exists Time (less(Time1,Time) & less(Time,Time2) & terminates(Event,Fluent,Time) & happens(Event,Time))))) # label(stoppedin_defn) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 8 (all Fluent all Time (releasedAt(Fluent,Time) & -(exists Event (happens(Event,Time) & (terminates(Event,Fluent,Time) | initiates(Event,Fluent,Time)))) -> releasedAt(Fluent,plus(Time,n1)))) # label(keep_released) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 9 (all Fluent all Time (-releasedAt(Fluent,Time) & -(exists Event (releases(Event,Fluent,Time) & happens(Event,Time))) -> -releasedAt(Fluent,plus(Time,n1)))) # label(keep_not_released) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 10 (all Event all Time all Fluent all Fluent2 all Offset (less(n0,Offset) & trajectory(Fluent,Time,Fluent2,Offset) & -stoppedIn(Time,Fluent,plus(Time,Offset)) & initiates(Event,Fluent,Time) & happens(Event,Time) -> holdsAt(Fluent2,plus(Time,Offset)))) # label(change_holding) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 11 (all Event all Time all Fluent (happens(Event,Time) & (initiates(Event,Fluent,Time) | terminates(Event,Fluent,Time)) -> -releasedAt(Fluent,plus(Time,n1)))) # label(happens_not_released) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 12 (all Time1 all Time2 all Fluent (startedIn(Time1,Fluent,Time2) <-> (exists Event exists Time (happens(Event,Time) & initiates(Event,Fluent,Time) & less(Time,Time2) & less(Time1,Time))))) # label(startedin_defn) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 13 (all Event all Time (happens(Event,Time) <-> Time = n0 & push = Event | pull = Event & n1 = Time | pull = Event & n2 = Time | n2 = Time & push = Event)) # label(happens_all_defn) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 14 (all Event all Fluent all Time (terminates(Event,Fluent,Time) <-> push = Event & backwards = Fluent & -happens(pull,Time) | pull = Event & forwards = Fluent & -happens(push,Time) | forwards = Fluent & happens(push,Time) & pull = Event | happens(push,Time) & Fluent = backwards & pull = Event | Fluent = spinning & -happens(pull,Time) & Event = push | spinning = Fluent & -happens(push,Time) & pull = Event)) # label(terminates_all_defn) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 15 (all Event all Fluent all Time (forwards = Fluent & -happens(pull,Time) & push = Event | happens(push,Time) & Fluent = spinning & pull = Event | backwards = Fluent & -happens(push,Time) & pull = Event <-> initiates(Event,Fluent,Time))) # label(initiates_all_defn) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 16 (all Event all Fluent all Time -releases(Event,Fluent,Time)) # label(releases_all_defn) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 17 (all X (less_or_equal(X,n2) <-> less(X,n3))) # label(less3) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 18 (all X (less_or_equal(X,n7) <-> less(X,n8))) # label(less8) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 19 (all X (less(X,n1) <-> less_or_equal(X,n0))) # label(less1) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 20 (all X (less(X,n5) <-> less_or_equal(X,n4))) # label(less5) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 21 (all Fluent all Time -releasedAt(Fluent,Time)) # label(not_releasedAt) # label(hypothesis) # label(non_clause). [assumption]. 0.44/1.03 22 (all X all Y (-less(Y,X) & X != Y <-> less(X,Y))) # label(less_property) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 23 (all X (less_or_equal(X,n1) <-> less(X,n2))) # label(less2) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 24 (all X all Y plus(Y,X) = plus(X,Y)) # label(symmetry_of_plus) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 25 (all X (less(X,n7) <-> less_or_equal(X,n6))) # label(less7) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 26 (all X (less_or_equal(X,n3) <-> less(X,n4))) # label(less4) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 27 (all X (less(X,n9) <-> less_or_equal(X,n8))) # label(less9) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 28 (all X all Y (Y = X | less(X,Y) <-> less_or_equal(X,Y))) # label(less_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 29 -(exists X less(X,n0)) # label(less0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 30 (all X (less(X,n6) <-> less_or_equal(X,n5))) # label(less6) # label(axiom) # label(non_clause). [assumption]. 0.44/1.03 0.44/1.03 ============================== end of process non-clausal formulas === 0.44/1.03 0.44/1.03 ============================== PROCESS INITIAL CLAUSES =============== 0.44/1.03 0.44/1.03 ============================== PREDICATE ELIMINATION ================= 0.44/1.04 31 -happens(A,B) | startedIn(B,C,plus(B,D)) | -antitrajectory(C,B,E,D) | -less(n0,D) | -terminates(A,C,B) | holdsAt(E,plus(B,D)) # label(antitrajectory) # label(axiom). [clausify(2)]. 0.44/1.04 32 terminates(f1(A,B),A,B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)) # label(keep_holding) # label(axiom). [clausify(1)]. 0.44/1.04 Derived: -happens(f1(A,B),B) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | holdsAt(D,plus(B,C)) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)). [resolve(31,e,32,a)]. 0.44/1.04 33 -terminates(A,B,C) | -happens(A,C) | -holdsAt(B,plus(C,n1)) # label(happens_terminates_not_holds) # label(axiom). [clausify(6)]. 0.44/1.04 34 -stoppedIn(A,B,C) | terminates(f3(A,B,C),B,f4(A,B,C)) # label(stoppedin_defn) # label(axiom). [clausify(7)]. 0.44/1.04 Derived: -stoppedIn(A,B,C) | -happens(f3(A,B,C),f4(A,B,C)) | startedIn(f4(A,B,C),B,plus(f4(A,B,C),D)) | -antitrajectory(B,f4(A,B,C),E,D) | -less(n0,D) | holdsAt(E,plus(f4(A,B,C),D)). [resolve(34,b,31,e)]. 0.44/1.04 Derived: -stoppedIn(A,B,C) | -happens(f3(A,B,C),f4(A,B,C)) | -holdsAt(B,plus(f4(A,B,C),n1)). [resolve(34,b,33,a)]. 0.44/1.04 35 stoppedIn(A,B,C) | -less(A,D) | -less(D,C) | -terminates(E,B,D) | -happens(E,D) # label(stoppedin_defn) # label(axiom). [clausify(7)]. 0.44/1.04 Derived: stoppedIn(A,B,C) | -less(A,D) | -less(D,C) | -happens(f1(B,D),D) | releasedAt(B,plus(D,n1)) | -holdsAt(B,D) | holdsAt(B,plus(D,n1)). [resolve(35,d,32,a)]. 0.44/1.04 Derived: stoppedIn(A,B,C) | -less(A,f4(D,B,E)) | -less(f4(D,B,E),C) | -happens(f3(D,B,E),f4(D,B,E)) | -stoppedIn(D,B,E). [resolve(35,d,34,b)]. 0.44/1.04 36 -releasedAt(A,B) | terminates(f5(A,B),A,B) | initiates(f5(A,B),A,B) | releasedAt(A,plus(B,n1)) # label(keep_released) # label(axiom). [clausify(8)]. 0.44/1.04 37 -happens(A,B) | -terminates(A,C,B) | -releasedAt(C,plus(B,n1)) # label(happens_not_released) # label(axiom). [clausify(11)]. 0.44/1.04 38 -terminates(A,B,C) | push = A | pull = A # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: push = f1(A,B) | pull = f1(A,B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)). [resolve(38,a,32,a)]. 0.44/1.04 Derived: push = f3(A,B,C) | pull = f3(A,B,C) | -stoppedIn(A,B,C). [resolve(38,a,34,b)]. 0.44/1.04 39 -terminates(A,B,C) | push = A | forwards = B | happens(push,C) | spinning = B # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: push = f1(A,B) | forwards = A | happens(push,B) | spinning = A | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)). [resolve(39,a,32,a)]. 0.44/1.04 Derived: push = f3(A,B,C) | forwards = B | happens(push,f4(A,B,C)) | spinning = B | -stoppedIn(A,B,C). [resolve(39,a,34,b)]. 0.44/1.04 40 -terminates(A,B,C) | push = A | forwards = B | backwards = B | -happens(push,C) # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: push = f1(A,B) | forwards = A | backwards = A | -happens(push,B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)). [resolve(40,a,32,a)]. 0.44/1.04 Derived: push = f3(A,B,C) | forwards = B | backwards = B | -happens(push,f4(A,B,C)) | -stoppedIn(A,B,C). [resolve(40,a,34,b)]. 0.44/1.04 41 -terminates(A,B,C) | backwards = B | pull = A | spinning = B # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: backwards = A | pull = f1(A,B) | spinning = A | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)). [resolve(41,a,32,a)]. 0.44/1.04 Derived: backwards = A | pull = f3(B,A,C) | spinning = A | -stoppedIn(B,A,C). [resolve(41,a,34,b)]. 0.44/1.04 42 -terminates(A,B,C) | backwards = B | forwards = B | spinning = B # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: backwards = A | forwards = A | spinning = A | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)). [resolve(42,a,32,a)]. 0.44/1.04 Derived: backwards = A | forwards = A | spinning = A | -stoppedIn(B,A,C). [resolve(42,a,34,b)]. 0.44/1.04 43 -terminates(A,B,C) | backwards = B | forwards = B | -happens(pull,C) | -happens(push,C) # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: backwards = A | forwards = A | -happens(pull,B) | -happens(push,B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)). [resolve(43,a,32,a)]. 0.44/1.04 Derived: backwards = A | forwards = A | -happens(pull,f4(B,A,C)) | -happens(push,f4(B,A,C)) | -stoppedIn(B,A,C). [resolve(43,a,34,b)]. 0.44/1.04 44 -terminates(A,B,C) | -happens(pull,C) | pull = A # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: -happens(pull,A) | pull = f1(B,A) | releasedAt(B,plus(A,n1)) | -holdsAt(B,A) | holdsAt(B,plus(A,n1)). [resolve(44,a,32,a)]. 0.44/1.04 Derived: -happens(pull,f4(A,B,C)) | pull = f3(A,B,C) | -stoppedIn(A,B,C). [resolve(44,a,34,b)]. 0.44/1.04 45 -terminates(A,B,C) | -happens(pull,C) | forwards = B | happens(push,C) | spinning = B # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: -happens(pull,A) | forwards = B | happens(push,A) | spinning = B | releasedAt(B,plus(A,n1)) | -holdsAt(B,A) | holdsAt(B,plus(A,n1)). [resolve(45,a,32,a)]. 0.44/1.04 Derived: -happens(pull,f4(A,B,C)) | forwards = B | happens(push,f4(A,B,C)) | spinning = B | -stoppedIn(A,B,C). [resolve(45,a,34,b)]. 0.44/1.04 46 terminates(A,B,C) | push != A | backwards != B | happens(pull,C) # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: push != A | backwards != B | happens(pull,C) | -happens(A,C) | startedIn(C,B,plus(C,D)) | -antitrajectory(B,C,E,D) | -less(n0,D) | holdsAt(E,plus(C,D)). [resolve(46,a,31,e)]. 0.44/1.04 Derived: push != A | backwards != B | happens(pull,C) | -happens(A,C) | -holdsAt(B,plus(C,n1)). [resolve(46,a,33,a)]. 0.44/1.04 Derived: push != A | backwards != B | happens(pull,C) | stoppedIn(D,B,E) | -less(D,C) | -less(C,E) | -happens(A,C). [resolve(46,a,35,d)]. 0.44/1.04 47 terminates(A,B,C) | pull != A | forwards != B | happens(push,C) # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: pull != A | forwards != B | happens(push,C) | -happens(A,C) | startedIn(C,B,plus(C,D)) | -antitrajectory(B,C,E,D) | -less(n0,D) | holdsAt(E,plus(C,D)). [resolve(47,a,31,e)]. 0.44/1.04 Derived: pull != A | forwards != B | happens(push,C) | -happens(A,C) | -holdsAt(B,plus(C,n1)). [resolve(47,a,33,a)]. 0.44/1.04 Derived: pull != A | forwards != B | happens(push,C) | stoppedIn(D,B,E) | -less(D,C) | -less(C,E) | -happens(A,C). [resolve(47,a,35,d)]. 0.44/1.04 48 terminates(A,B,C) | forwards != B | -happens(push,C) | pull != A # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: forwards != A | -happens(push,B) | pull != C | -happens(C,B) | startedIn(B,A,plus(B,D)) | -antitrajectory(A,B,E,D) | -less(n0,D) | holdsAt(E,plus(B,D)). [resolve(48,a,31,e)]. 0.44/1.04 Derived: forwards != A | -happens(push,B) | pull != C | -happens(C,B) | -holdsAt(A,plus(B,n1)). [resolve(48,a,33,a)]. 0.44/1.04 Derived: forwards != A | -happens(push,B) | pull != C | stoppedIn(D,A,E) | -less(D,B) | -less(B,E) | -happens(C,B). [resolve(48,a,35,d)]. 0.44/1.04 49 terminates(A,B,C) | -happens(push,C) | backwards != B | pull != A # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: -happens(push,A) | backwards != B | pull != C | -happens(C,A) | startedIn(A,B,plus(A,D)) | -antitrajectory(B,A,E,D) | -less(n0,D) | holdsAt(E,plus(A,D)). [resolve(49,a,31,e)]. 0.44/1.04 Derived: -happens(push,A) | backwards != B | pull != C | -happens(C,A) | -holdsAt(B,plus(A,n1)). [resolve(49,a,33,a)]. 0.44/1.04 Derived: -happens(push,A) | backwards != B | pull != C | stoppedIn(D,B,E) | -less(D,A) | -less(A,E) | -happens(C,A). [resolve(49,a,35,d)]. 0.44/1.04 50 terminates(A,B,C) | spinning != B | happens(pull,C) | push != A # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: spinning != A | happens(pull,B) | push != C | -happens(C,B) | startedIn(B,A,plus(B,D)) | -antitrajectory(A,B,E,D) | -less(n0,D) | holdsAt(E,plus(B,D)). [resolve(50,a,31,e)]. 0.44/1.04 Derived: spinning != A | happens(pull,B) | push != C | -happens(C,B) | -holdsAt(A,plus(B,n1)). [resolve(50,a,33,a)]. 0.44/1.04 Derived: spinning != A | happens(pull,B) | push != C | stoppedIn(D,A,E) | -less(D,B) | -less(B,E) | -happens(C,B). [resolve(50,a,35,d)]. 0.44/1.04 51 terminates(A,B,C) | spinning != B | happens(push,C) | pull != A # label(terminates_all_defn) # label(axiom). [clausify(14)]. 0.44/1.04 Derived: spinning != A | happens(push,B) | pull != C | -happens(C,B) | startedIn(B,A,plus(B,D)) | -antitrajectory(A,B,E,D) | -less(n0,D) | holdsAt(E,plus(B,D)). [resolve(51,a,31,e)]. 0.77/1.04 Derived: spinning != A | happens(push,B) | pull != C | -happens(C,B) | -holdsAt(A,plus(B,n1)). [resolve(51,a,33,a)]. 0.77/1.04 Derived: spinning != A | happens(push,B) | pull != C | stoppedIn(D,A,E) | -less(D,B) | -less(B,E) | -happens(C,B). [resolve(51,a,35,d)]. 0.77/1.04 52 releasedAt(A,B) | releases(f6(A,B),A,B) | -releasedAt(A,plus(B,n1)) # label(keep_not_released) # label(axiom). [clausify(9)]. 0.77/1.04 53 -releases(A,B,C) | -happens(A,C) | releasedAt(B,plus(C,n1)) # label(happens_releases) # label(axiom). [clausify(3)]. 0.77/1.04 54 -releases(A,B,C) # label(releases_all_defn) # label(axiom). [clausify(16)]. 0.77/1.04 55 initiates(f2(A,B),A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)) # label(keep_not_holding) # label(axiom). [clausify(5)]. 0.77/1.04 56 -initiates(A,B,C) | -happens(A,C) | holdsAt(B,plus(C,n1)) # label(happens_holds) # label(axiom). [clausify(4)]. 0.77/1.04 57 -less(n0,A) | -trajectory(B,C,D,A) | stoppedIn(C,B,plus(C,A)) | -initiates(E,B,C) | -happens(E,C) | holdsAt(D,plus(C,A)) # label(change_holding) # label(axiom). [clausify(10)]. 0.77/1.04 Derived: -less(n0,A) | -trajectory(B,C,D,A) | stoppedIn(C,B,plus(C,A)) | -happens(f2(B,C),C) | holdsAt(D,plus(C,A)) | releasedAt(B,plus(C,n1)) | holdsAt(B,C) | -holdsAt(B,plus(C,n1)). [resolve(57,d,55,a)]. 0.77/1.04 58 -happens(A,B) | -initiates(A,C,B) | -releasedAt(C,plus(B,n1)) # label(happens_not_released) # label(axiom). [clausify(11)]. 0.77/1.04 59 -startedIn(A,B,C) | initiates(f7(A,C,B),B,f8(A,C,B)) # label(startedin_defn) # label(axiom). [clausify(12)]. 0.77/1.04 Derived: -startedIn(A,B,C) | -happens(f7(A,C,B),f8(A,C,B)) | holdsAt(B,plus(f8(A,C,B),n1)). [resolve(59,b,56,a)]. 0.77/1.04 Derived: -startedIn(A,B,C) | -less(n0,D) | -trajectory(B,f8(A,C,B),E,D) | stoppedIn(f8(A,C,B),B,plus(f8(A,C,B),D)) | -happens(f7(A,C,B),f8(A,C,B)) | holdsAt(E,plus(f8(A,C,B),D)). [resolve(59,b,57,d)]. 0.77/1.04 60 startedIn(A,B,C) | -happens(D,E) | -initiates(D,B,E) | -less(E,C) | -less(A,E) # label(startedin_defn) # label(axiom). [clausify(12)]. 0.77/1.04 Derived: startedIn(A,B,C) | -happens(f2(B,D),D) | -less(D,C) | -less(A,D) | releasedAt(B,plus(D,n1)) | holdsAt(B,D) | -holdsAt(B,plus(D,n1)). [resolve(60,c,55,a)]. 0.77/1.04 Derived: startedIn(A,B,C) | -happens(f7(D,E,B),f8(D,E,B)) | -less(f8(D,E,B),C) | -less(A,f8(D,E,B)) | -startedIn(D,B,E). [resolve(60,c,59,b)]. 0.77/1.04 61 forwards != A | happens(pull,B) | push != C | initiates(C,A,B) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.04 Derived: forwards != A | happens(pull,B) | push != C | -happens(C,B) | holdsAt(A,plus(B,n1)). [resolve(61,d,56,a)]. 0.77/1.04 Derived: forwards != A | happens(pull,B) | push != C | -less(n0,D) | -trajectory(A,B,E,D) | stoppedIn(B,A,plus(B,D)) | -happens(C,B) | holdsAt(E,plus(B,D)). [resolve(61,d,57,d)]. 0.77/1.04 Derived: forwards != A | happens(pull,B) | push != C | startedIn(D,A,E) | -happens(C,B) | -less(B,E) | -less(D,B). [resolve(61,d,60,c)]. 0.77/1.04 62 -happens(push,A) | spinning != B | pull != C | initiates(C,B,A) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.04 Derived: -happens(push,A) | spinning != B | pull != C | -happens(C,A) | holdsAt(B,plus(A,n1)). [resolve(62,d,56,a)]. 0.77/1.04 Derived: -happens(push,A) | spinning != B | pull != C | -less(n0,D) | -trajectory(B,A,E,D) | stoppedIn(A,B,plus(A,D)) | -happens(C,A) | holdsAt(E,plus(A,D)). [resolve(62,d,57,d)]. 0.77/1.04 Derived: -happens(push,A) | spinning != B | pull != C | startedIn(D,B,E) | -happens(C,A) | -less(A,E) | -less(D,A). [resolve(62,d,60,c)]. 0.77/1.04 63 backwards != A | happens(push,B) | pull != C | initiates(C,A,B) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.04 Derived: backwards != A | happens(push,B) | pull != C | -happens(C,B) | holdsAt(A,plus(B,n1)). [resolve(63,d,56,a)]. 0.77/1.04 Derived: backwards != A | happens(push,B) | pull != C | -less(n0,D) | -trajectory(A,B,E,D) | stoppedIn(B,A,plus(B,D)) | -happens(C,B) | holdsAt(E,plus(B,D)). [resolve(63,d,57,d)]. 0.77/1.04 Derived: backwards != A | happens(push,B) | pull != C | startedIn(D,A,E) | -happens(C,B) | -less(B,E) | -less(D,B). [resolve(63,d,60,c)]. 0.77/1.04 64 forwards = A | happens(push,B) | backwards = A | -initiates(C,A,B) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: forwards = A | happens(push,B) | backwards = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(64,d,55,a)]. 0.77/1.05 Derived: forwards = A | happens(push,f8(B,C,A)) | backwards = A | -startedIn(B,A,C). [resolve(64,d,59,b)]. 0.77/1.05 65 forwards = A | spinning = A | backwards = A | -initiates(B,A,C) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: forwards = A | spinning = A | backwards = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(65,d,55,a)]. 0.77/1.05 Derived: forwards = A | spinning = A | backwards = A | -startedIn(B,A,C). [resolve(65,d,59,b)]. 0.77/1.05 66 forwards = A | spinning = A | -happens(push,B) | -initiates(C,A,B) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: forwards = A | spinning = A | -happens(push,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(66,d,55,a)]. 0.77/1.05 Derived: forwards = A | spinning = A | -happens(push,f8(B,C,A)) | -startedIn(B,A,C). [resolve(66,d,59,b)]. 0.77/1.05 67 forwards = A | pull = B | -initiates(B,A,C) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: forwards = A | pull = f2(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(67,c,55,a)]. 0.77/1.05 Derived: forwards = A | pull = f7(B,C,A) | -startedIn(B,A,C). [resolve(67,c,59,b)]. 0.77/1.05 68 -happens(pull,A) | happens(push,A) | backwards = B | -initiates(C,B,A) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: -happens(pull,A) | happens(push,A) | backwards = B | releasedAt(B,plus(A,n1)) | holdsAt(B,A) | -holdsAt(B,plus(A,n1)). [resolve(68,d,55,a)]. 0.77/1.05 Derived: -happens(pull,f8(A,B,C)) | happens(push,f8(A,B,C)) | backwards = C | -startedIn(A,C,B). [resolve(68,d,59,b)]. 0.77/1.05 69 -happens(pull,A) | spinning = B | backwards = B | -initiates(C,B,A) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: -happens(pull,A) | spinning = B | backwards = B | releasedAt(B,plus(A,n1)) | holdsAt(B,A) | -holdsAt(B,plus(A,n1)). [resolve(69,d,55,a)]. 0.77/1.05 Derived: -happens(pull,f8(A,B,C)) | spinning = C | backwards = C | -startedIn(A,C,B). [resolve(69,d,59,b)]. 0.77/1.05 70 -happens(pull,A) | spinning = B | -happens(push,A) | -initiates(C,B,A) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: -happens(pull,A) | spinning = B | -happens(push,A) | releasedAt(B,plus(A,n1)) | holdsAt(B,A) | -holdsAt(B,plus(A,n1)). [resolve(70,d,55,a)]. 0.77/1.05 Derived: -happens(pull,f8(A,B,C)) | spinning = C | -happens(push,f8(A,B,C)) | -startedIn(A,C,B). [resolve(70,d,59,b)]. 0.77/1.05 71 -happens(pull,A) | pull = B | -initiates(B,C,A) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: -happens(pull,A) | pull = f2(B,A) | releasedAt(B,plus(A,n1)) | holdsAt(B,A) | -holdsAt(B,plus(A,n1)). [resolve(71,c,55,a)]. 0.77/1.05 Derived: -happens(pull,f8(A,B,C)) | pull = f7(A,B,C) | -startedIn(A,C,B). [resolve(71,c,59,b)]. 0.77/1.05 72 push = A | happens(push,B) | backwards = C | -initiates(A,C,B) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: push = f2(A,B) | happens(push,B) | backwards = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(72,d,55,a)]. 0.77/1.05 Derived: push = f7(A,B,C) | happens(push,f8(A,B,C)) | backwards = C | -startedIn(A,C,B). [resolve(72,d,59,b)]. 0.77/1.05 73 push = A | spinning = B | backwards = B | -initiates(A,B,C) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: push = f2(A,B) | spinning = A | backwards = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(73,d,55,a)]. 0.77/1.05 Derived: push = f7(A,B,C) | spinning = C | backwards = C | -startedIn(A,C,B). [resolve(73,d,59,b)]. 0.77/1.05 74 push = A | spinning = B | -happens(push,C) | -initiates(A,B,C) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.77/1.05 Derived: push = f2(A,B) | spinning = A | -happens(push,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(74,d,55,a)]. 0.77/1.05 Derived: push = f7(A,B,C) | spinning = C | -happens(push,f8(A,B,C)) | -startedIn(A,C,B). [resolve(74,d,59,b)]. 0.77/1.05 75 push = A | pull = A | -initiates(A,B,C) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.91/1.18 Derived: push = f2(A,B) | pull = f2(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)). [resolve(75,c,55,a)]. 0.91/1.18 Derived: push = f7(A,B,C) | pull = f7(A,B,C) | -startedIn(A,C,B). [resolve(75,c,59,b)]. 0.91/1.18 0.91/1.18 ============================== end predicate elimination ============= 0.91/1.18 0.91/1.18 Auto_denials: (non-Horn, no changes). 0.91/1.18 0.91/1.18 Term ordering decisions: 0.91/1.18 Function symbol KB weights: n1=1. push=1. pull=1. spinning=1. backwards=1. forwards=1. n0=1. n2=1. n3=1. n4=1. n5=1. n6=1. n7=1. n8=1. n9=1. plus=1. f1=1. f2=1. f5=1. f6=1. f3=1. f4=1. f7=1. f8=1. 0.91/1.18 0.91/1.18 ============================== end of process initial clauses ======== 0.91/1.18 0.91/1.18 ============================== CLAUSES FOR SEARCH ==================== 0.91/1.18 0.91/1.18 ============================== end of clauses for search ============= 0.91/1.18 0.91/1.18 ============================== SEARCH ================================ 0.91/1.18 0.91/1.18 % Starting search at 0.04 seconds. 0.91/1.18 0.91/1.18 ============================== PROOF ================================= 0.91/1.18 % SZS status Theorem 0.91/1.18 % SZS output start Refutation 0.91/1.18 0.91/1.18 % Proof 1 at 0.16 (+ 0.01) seconds. 0.91/1.18 % Length of proof is 34. 0.91/1.18 % Level of proof is 6. 0.91/1.18 % Maximum clause weight is 17.000. 0.91/1.18 % Given clauses 352. 0.91/1.18 0.91/1.18 4 (all Event all Time all Fluent (initiates(Event,Fluent,Time) & happens(Event,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(happens_holds) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 13 (all Event all Time (happens(Event,Time) <-> Time = n0 & push = Event | pull = Event & n1 = Time | pull = Event & n2 = Time | n2 = Time & push = Event)) # label(happens_all_defn) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 15 (all Event all Fluent all Time (forwards = Fluent & -happens(pull,Time) & push = Event | happens(push,Time) & Fluent = spinning & pull = Event | backwards = Fluent & -happens(push,Time) & pull = Event <-> initiates(Event,Fluent,Time))) # label(initiates_all_defn) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 19 (all X (less(X,n1) <-> less_or_equal(X,n0))) # label(less1) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 22 (all X all Y (-less(Y,X) & X != Y <-> less(X,Y))) # label(less_property) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 23 (all X (less_or_equal(X,n1) <-> less(X,n2))) # label(less2) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 24 (all X all Y plus(Y,X) = plus(X,Y)) # label(symmetry_of_plus) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 28 (all X all Y (Y = X | less(X,Y) <-> less_or_equal(X,Y))) # label(less_or_equal) # label(axiom) # label(non_clause). [assumption]. 0.91/1.18 56 -initiates(A,B,C) | -happens(A,C) | holdsAt(B,plus(C,n1)) # label(happens_holds) # label(axiom). [clausify(4)]. 0.91/1.18 63 backwards != A | happens(push,B) | pull != C | initiates(C,A,B) # label(initiates_all_defn) # label(axiom). [clausify(15)]. 0.91/1.18 86 pull != push # label(push_not_pull) # label(axiom). [assumption]. 0.91/1.18 88 -happens(A,B) | n0 = B | pull = A | n2 = B # label(happens_all_defn) # label(axiom). [clausify(13)]. 0.91/1.18 93 happens(A,B) | pull != A | n1 != B # label(happens_all_defn) # label(axiom). [clausify(13)]. 0.91/1.18 109 less(A,n1) | -less_or_equal(A,n0) # label(less1) # label(axiom). [clausify(19)]. 0.91/1.18 119 A != B | -less(B,A) # label(less_property) # label(axiom). [clausify(22)]. 0.91/1.18 120 -less_or_equal(A,n1) | less(A,n2) # label(less2) # label(axiom). [clausify(23)]. 0.91/1.18 122 plus(A,B) = plus(B,A) # label(symmetry_of_plus) # label(axiom). [clausify(24)]. 0.91/1.18 123 n2 = plus(n1,n1) # label(plus1_1) # label(axiom). [assumption]. 0.91/1.18 124 plus(n1,n1) = n2. [copy(123),flip(a)]. 0.91/1.18 128 plus(n0,n1) = n1 # label(plus0_1) # label(axiom). [assumption]. 0.91/1.18 129 plus(n1,n0) = n1. [copy(128),rewrite([122(3)])]. 0.91/1.18 135 A != B | less_or_equal(B,A) # label(less_or_equal) # label(axiom). [clausify(28)]. 0.91/1.18 146 -holdsAt(backwards,n2) # label(backwards_2) # label(negated_conjecture). [assumption]. 0.91/1.18 218 backwards != A | happens(push,B) | pull != C | -happens(C,B) | holdsAt(A,plus(B,n1)). [resolve(63,d,56,a)]. 0.91/1.18 269 happens(pull,A) | n1 != A. [xx_res(93,b)]. 0.91/1.18 291 less_or_equal(A,A). [xx_res(135,a)]. 0.91/1.18 364 less(n1,n2). [resolve(291,a,120,a)]. 0.91/1.18 366 less(n0,n1). [resolve(291,a,109,b)]. 0.91/1.18 495 n2 != n1. [resolve(364,a,119,b)]. 0.91/1.18 522 happens(pull,n1). [resolve(269,b,129,a(flip)),rewrite([129(4)])]. 0.91/1.18 536 n0 != n1. [resolve(366,a,119,b),flip(a)]. 0.91/1.18 593 backwards != A | happens(push,n1) | holdsAt(A,n2). [resolve(522,a,218,d),rewrite([124(11)]),xx(c)]. 0.91/1.18 1531 happens(push,n1). [xx_res(593,a),unit_del(b,146)]. 0.91/1.18 1563 $F. [resolve(1531,a,88,a),unit_del(a,536),unit_del(b,86),unit_del(c,495)]. 0.91/1.18 0.91/1.18 % SZS output end Refutation 0.91/1.18 ============================== end of proof ========================== 0.91/1.18 0.91/1.18 ============================== STATISTICS ============================ 0.91/1.18 0.91/1.18 Given=352. Generated=2452. Kept=1440. proofs=1. 0.91/1.18 Usable=348. Sos=979. Demods=11. Limbo=0, Disabled=298. Hints=0. 0.91/1.18 Megabytes=1.49. 0.91/1.18 User_CPU=0.16, System_CPU=0.01, Wall_clock=0. 0.91/1.18 0.91/1.18 ============================== end of statistics ===================== 0.91/1.18 0.91/1.18 ============================== end of search ========================= 0.91/1.18 0.91/1.18 THEOREM PROVED 0.91/1.18 % SZS status Theorem 0.91/1.18 0.91/1.18 Exiting with 1 proof. 0.91/1.18 0.91/1.18 Process 3228 exit (max_proofs) Thu Aug 29 09:59:57 2019 0.91/1.18 Prover9 interrupted 0.91/1.18 EOF