%------------------------------------------------------------------------------ % File : Prover9---1109a % Problem : MGT094+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_prover9 %d %s % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Apr 29 02:10:29 PM UTC 2026 % Result : Theorem 0.76s 1.04s % Output : Refutation 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : MGT094+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : tptp2X_and_run_prover9 %d %s % 0.15/0.33 % Computer : n021.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Apr 28 19:01:50 EDT 2026 % 0.15/0.33 % CPUTime : % 0.76/1.03 ============================== Prover9 =============================== % 0.76/1.03 Prover9 (32) version 2009-11A, November 2009. % 0.76/1.03 Process 22825 was started by sandbox2 on n021.cluster.edu, % 0.76/1.03 Tue Apr 28 19:01:51 2026 % 0.76/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22670_n021.cluster.edu". % 0.76/1.03 ============================== end of head =========================== % 0.76/1.03 % 0.76/1.03 ============================== INPUT ================================= % 0.76/1.03 % 0.76/1.03 % Reading from file /tmp/Prover9_22670_n021.cluster.edu % 0.76/1.03 % 0.76/1.03 set(prolog_style_variables). % 0.76/1.03 set(auto2). % 0.76/1.03 % set(auto2) -> set(auto). % 0.76/1.03 % set(auto) -> set(auto_inference). % 0.76/1.03 % set(auto) -> set(auto_setup). % 0.76/1.03 % set(auto_setup) -> set(predicate_elim). % 0.76/1.03 % set(auto_setup) -> assign(eq_defs, unfold). % 0.76/1.03 % set(auto) -> set(auto_limits). % 0.76/1.03 % set(auto_limits) -> assign(max_weight, "100.000"). % 0.76/1.03 % set(auto_limits) -> assign(sos_limit, 20000). % 0.76/1.03 % set(auto) -> set(auto_denials). % 0.76/1.03 % set(auto) -> set(auto_process). % 0.76/1.03 % set(auto2) -> assign(new_constants, 1). % 0.76/1.03 % set(auto2) -> assign(fold_denial_max, 3). % 0.76/1.03 % set(auto2) -> assign(max_weight, "200.000"). % 0.76/1.03 % set(auto2) -> assign(max_hours, 1). % 0.76/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600). % 0.76/1.03 % set(auto2) -> assign(max_seconds, 0). % 0.76/1.03 % set(auto2) -> assign(max_minutes, 5). % 0.76/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300). % 0.76/1.03 % set(auto2) -> set(sort_initial_sos). % 0.76/1.03 % set(auto2) -> assign(sos_limit, -1). % 0.76/1.03 % set(auto2) -> assign(lrs_ticks, 3000). % 0.76/1.03 % set(auto2) -> assign(max_megs, 400). % 0.76/1.03 % set(auto2) -> assign(stats, some). % 0.76/1.03 % set(auto2) -> clear(echo_input). % 0.76/1.03 % set(auto2) -> set(quiet). % 0.76/1.03 % set(auto2) -> clear(print_initial_clauses). % 0.76/1.03 % set(auto2) -> clear(print_given). % 0.76/1.03 assign(lrs_ticks,-1). % 0.76/1.03 assign(sos_limit,10000). % 0.76/1.03 assign(order,kbo). % 0.76/1.03 set(lex_order_vars). % 0.76/1.03 clear(print_given). % 0.76/1.03 % 0.76/1.03 % formulas(sos). % not echoed (80 formulas) % 0.76/1.03 % 0.76/1.03 ============================== end of input ========================== % 0.76/1.03 % 0.76/1.03 % From the command line: assign(max_seconds, 300). % 0.76/1.03 % 0.76/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ========== % 0.76/1.03 % 0.76/1.03 % Formulas that are not ordinary clauses: % 0.76/1.03 1 (all X -less(X,X)) # label(irreflexive) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 2 (all X all Y all Z (less(X,Y) & less(Y,Z) -> less(X,Z))) # label(transitive) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 3 (all X all Y (less(X,Y) | X = Y | less(Y,X))) # label(trichotomy) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 4 (all X all Y (leq(X,Y) <-> less(X,Y) | X = Y)) # label(leq_def) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 5 (all X all Y (leq(X,Y) & leq(Y,X) -> X = Y)) # label(leq_antisym) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 6 (all X all Y (less(X,Y) -> leq(X,Y))) # label(less_implies_leq) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 7 (all X all Y all Z (leq(X,Y) & less(Y,Z) -> less(X,Z))) # label(leq_less_trans) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 8 (all X all Y all Z (less(X,Y) & leq(Y,Z) -> less(X,Z))) # label(less_leq_trans) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 9 (all X all Y all Z (leq(X,Y) & leq(Y,Z) -> leq(X,Z))) # label(leq_trans) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 10 (all X all A all B (in_closed(X,A,B) <-> leq(A,X) & leq(X,B))) # label(in_closed) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 11 (all X all A all B (in_lopen(X,A,B) <-> less(A,X) & leq(X,B))) # label(in_lopen) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 12 (all X all A all B (in_ropen(X,A,B) <-> leq(A,X) & less(X,B))) # label(in_ropen) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 13 (all X all A all B (in_open(X,A,B) <-> less(A,X) & less(X,B))) # label(in_open) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 14 (all I1lo all I1hi all I2lo all I2hi (axis_conflict(I1lo,I1hi,I2lo,I2hi) <-> -(exists X (in_closed(X,I1lo,I1hi) & in_closed(X,I2lo,I2hi))))) # label(axis_conflict_def) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 15 (all I1lo all I1hi all I2lo all I2hi (axis_compatible(I1lo,I1hi,I2lo,I2hi) <-> (exists X (in_closed(X,I1lo,I1hi) & in_closed(X,I2lo,I2hi))))) # label(axis_compatible_def) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 16 (all I1lo all I1hi all I2lo all I2hi (axis_subsumes(I1lo,I1hi,I2lo,I2hi) <-> (all X (in_closed(X,I1lo,I1hi) -> in_closed(X,I2lo,I2hi))))) # label(axis_subsumes_def) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 17 (all V (is_verdict(V) -> V = conflict | V = compatible | V = unknown)) # label(verdict_enum) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 18 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & (V1 = conflict | V2 = conflict) -> box_verdict(V1,V2) = conflict)) # label(box_conflict) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 19 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & V1 = compatible & V2 = compatible -> box_verdict(V1,V2) = compatible)) # label(box_compatible) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 20 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & (V1 = unknown | V2 = unknown) & V1 != conflict & V2 != conflict -> box_verdict(V1,V2) = unknown)) # label(box_unknown) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 21 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) -> box_verdict(V1,V2) = conflict | box_verdict(V1,V2) = compatible | box_verdict(V1,V2) = unknown)) # label(box_verdict_total) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 22 (all T (is_presence(T) -> T = present | T = absent)) # label(presence_enum) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 23 (all L1 all H1 all L2 all H2 subs_verdict(L1,H1,absent,L2,H2,present) = unknown) # label(subs_c1_absent) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 24 (all L1 all H1 all L2 all H2 subs_verdict(L1,H1,present,L2,H2,absent) = unknown) # label(subs_c2_absent) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 25 (all L1 all H1 all L2 all H2 subs_verdict(L1,H1,absent,L2,H2,absent) = unknown) # label(subs_both_absent) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 26 (all L1 all H1 all L2 all H2 (axis_subsumes(L1,H1,L2,H2) -> subs_verdict(L1,H1,present,L2,H2,present) = compatible)) # label(subs_present_yes) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 27 (all L1 all H1 all L2 all H2 (-axis_subsumes(L1,H1,L2,H2) -> subs_verdict(L1,H1,present,L2,H2,present) = conflict)) # label(subs_present_no) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 28 (all L1 all H1 all P1 all L2 all H2 all P2 (is_presence(P1) & is_presence(P2) -> subs_verdict(L1,H1,P1,L2,H2,P2) = compatible | subs_verdict(L1,H1,P1,L2,H2,P2) = conflict | subs_verdict(L1,H1,P1,L2,H2,P2) = unknown)) # label(subs_verdict_total) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 29 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & V1 = compatible & V2 = compatible -> box_subs(V1,V2) = compatible)) # label(box_subs_compat) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 30 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & (V1 = conflict | V2 = conflict) -> box_subs(V1,V2) = conflict)) # label(box_subs_conflict) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 31 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & -(V1 = compatible & V2 = compatible) & V1 != conflict & V2 != conflict -> box_subs(V1,V2) = unknown)) # label(box_subs_unknown) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 32 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) -> box_subs(V1,V2) = compatible | box_subs(V1,V2) = conflict | box_subs(V1,V2) = unknown)) # label(box_subs_total) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.03 % 0.76/1.03 ============================== end of process non-clausal formulas === % 0.76/1.03 % 0.76/1.03 ============================== PROCESS INITIAL CLAUSES =============== % 0.76/1.03 % 0.76/1.03 ============================== PREDICATE ELIMINATION ================= % 0.76/1.03 33 -axis_conflict(A,B,C,D) | -in_closed(E,A,B) | -in_closed(E,C,D) # label(axis_conflict_def) # label(axiom). [clausify(14)]. % 0.76/1.03 34 axis_conflict(A,B,C,D) | in_closed(f1(A,B,C,D),A,B) # label(axis_conflict_def) # label(axiom). [clausify(14)]. % 0.76/1.03 35 axis_conflict(A,B,C,D) | in_closed(f1(A,B,C,D),C,D) # label(axis_conflict_def) # label(axiom). [clausify(14)]. % 0.76/1.03 Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f1(B,C,D,E),B,C). [resolve(33,a,34,a)]. % 0.76/1.04 Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f1(B,C,D,E),D,E). [resolve(33,a,35,a)]. % 0.76/1.04 36 in_lopen(A,B,C) | -less(B,A) | -leq(A,C) # label(in_lopen) # label(axiom). [clausify(11)]. % 0.76/1.04 37 -in_lopen(A,B,C) | less(B,A) # label(in_lopen) # label(axiom). [clausify(11)]. % 0.76/1.04 38 -in_lopen(A,B,C) | leq(A,C) # label(in_lopen) # label(axiom). [clausify(11)]. % 0.76/1.04 39 in_ropen(A,B,C) | -leq(B,A) | -less(A,C) # label(in_ropen) # label(axiom). [clausify(12)]. % 0.76/1.04 40 -in_ropen(A,B,C) | leq(B,A) # label(in_ropen) # label(axiom). [clausify(12)]. % 0.76/1.04 41 -in_ropen(A,B,C) | less(A,C) # label(in_ropen) # label(axiom). [clausify(12)]. % 0.76/1.04 42 in_open(A,B,C) | -less(B,A) | -less(A,C) # label(in_open) # label(axiom). [clausify(13)]. % 0.76/1.04 43 -in_open(A,B,C) | less(B,A) # label(in_open) # label(axiom). [clausify(13)]. % 0.76/1.04 44 -in_open(A,B,C) | less(A,C) # label(in_open) # label(axiom). [clausify(13)]. % 0.76/1.04 45 axis_compatible(A,B,C,D) | -in_closed(E,A,B) | -in_closed(E,C,D) # label(axis_compatible_def) # label(axiom). [clausify(15)]. % 0.76/1.04 46 -axis_compatible(A,B,C,D) | in_closed(f2(A,B,C,D),A,B) # label(axis_compatible_def) # label(axiom). [clausify(15)]. % 0.76/1.04 47 -axis_compatible(A,B,C,D) | in_closed(f2(A,B,C,D),C,D) # label(axis_compatible_def) # label(axiom). [clausify(15)]. % 0.76/1.04 Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f2(B,C,D,E),B,C). [resolve(45,a,46,a)]. % 0.76/1.04 Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f2(B,C,D,E),D,E). [resolve(45,a,47,a)]. % 0.76/1.04 % 0.76/1.04 ============================== end predicate elimination ============= % 0.76/1.04 % 0.76/1.04 Auto_denials: (non-Horn, no changes). % 0.76/1.04 % 0.76/1.04 Term ordering decisions: % 0.76/1.04 Function symbol KB weights: conflict=1. compatible=1. unknown=1. present=1. v0=1. v150=1. v16=1. v300=1. v32=1. v400=1. v600=1. v800=1. absent=1. box_subs=1. box_verdict=1. f1=1. f2=1. f3=1. subs_verdict=1. % 0.76/1.04 % 0.76/1.04 ============================== end of process initial clauses ======== % 0.76/1.04 % 0.76/1.04 ============================== CLAUSES FOR SEARCH ==================== % 0.76/1.04 % 0.76/1.04 ============================== end of clauses for search ============= % 0.76/1.04 % 0.76/1.04 ============================== SEARCH ================================ % 0.76/1.04 % 0.76/1.04 % Starting search at 0.02 seconds. % 0.76/1.04 % 0.76/1.04 ============================== PROOF ================================= % 0.76/1.04 % SZS status Theorem % 0.76/1.04 % SZS output start Refutation % 0.76/1.04 % 0.76/1.04 % Proof 1 at 0.02 (+ 0.00) seconds. % 0.76/1.04 % Length of proof is 5. % 0.76/1.04 % Level of proof is 2. % 0.76/1.04 % Maximum clause weight is 14.000. % 0.76/1.04 % Given clauses 45. % 0.76/1.04 % 0.76/1.04 27 (all L1 all H1 all L2 all H2 (-axis_subsumes(L1,H1,L2,H2) -> subs_verdict(L1,H1,present,L2,H2,present) = conflict)) # label(subs_present_no) # label(axiom) # label(non_clause). [assumption]. % 0.76/1.04 86 axis_subsumes(A,B,C,D) | subs_verdict(A,B,present,C,D,present) = conflict # label(subs_present_no) # label(axiom). [clausify(27)]. % 0.76/1.04 96 -axis_subsumes(v0,v800,v0,v600) # label(no_subs_hint) # label(axiom). [assumption]. % 0.76/1.04 97 subs_verdict(v0,v800,present,v0,v600,present) != conflict # label(odrl653) # label(negated_conjecture). [assumption]. % 0.76/1.04 155 $F. [resolve(96,a,86,a),unit_del(a,97)]. % 0.76/1.04 % 0.76/1.04 % SZS output end Refutation % 0.76/1.04 ============================== end of proof ========================== % 0.76/1.04 % 0.76/1.04 ============================== STATISTICS ============================ % 0.76/1.04 % 0.76/1.04 Given=45. Generated=114. Kept=91. proofs=1. % 0.76/1.04 Usable=45. Sos=46. Demods=3. Limbo=0, Disabled=104. Hints=0. % 0.76/1.04 Megabytes=0.17. % 0.76/1.04 User_CPU=0.02, System_CPU=0.00, Wall_clock=0. % 0.76/1.04 % 0.76/1.04 ============================== end of statistics ===================== % 0.76/1.04 % 0.76/1.04 ============================== end of search ========================= % 0.76/1.04 % 0.76/1.04 THEOREM PROVED % 0.76/1.04 % SZS status Theorem % 0.76/1.04 % 0.76/1.04 Exiting with 1 proof. % 0.76/1.04 % 0.76/1.04 Process 22825 exit (max_proofs) Tue Apr 28 19:01:51 2026 % 0.76/1.04 Prover9 interrupted %------------------------------------------------------------------------------