%------------------------------------------------------------------------------ % File : Prover9---1109a % Problem : SWX201+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_prover9 %d %s % Computer : n004.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 02:38:04 PM UTC 2026 % Result : Timeout 299.78s 300.03s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX201+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Apr 29 00:37:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.43/1.02 ============================== Prover9 =============================== % 0.43/1.02 Prover9 (32) version 2009-11A, November 2009. % 0.43/1.02 Process 27820 was started by sandbox2 on n004.cluster.edu, % 0.43/1.02 Wed Apr 29 00:37:02 2026 % 0.43/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27666_n004.cluster.edu". % 0.43/1.02 ============================== end of head =========================== % 0.43/1.02 % 0.43/1.02 ============================== INPUT ================================= % 0.43/1.02 % 0.43/1.02 % Reading from file /tmp/Prover9_27666_n004.cluster.edu % 0.43/1.02 % 0.43/1.02 set(prolog_style_variables). % 0.43/1.02 set(auto2). % 0.43/1.02 % set(auto2) -> set(auto). % 0.43/1.02 % set(auto) -> set(auto_inference). % 0.43/1.02 % set(auto) -> set(auto_setup). % 0.43/1.02 % set(auto_setup) -> set(predicate_elim). % 0.43/1.02 % set(auto_setup) -> assign(eq_defs, unfold). % 0.43/1.02 % set(auto) -> set(auto_limits). % 0.43/1.02 % set(auto_limits) -> assign(max_weight, "100.000"). % 0.43/1.02 % set(auto_limits) -> assign(sos_limit, 20000). % 0.43/1.02 % set(auto) -> set(auto_denials). % 0.43/1.02 % set(auto) -> set(auto_process). % 0.43/1.02 % set(auto2) -> assign(new_constants, 1). % 0.43/1.02 % set(auto2) -> assign(fold_denial_max, 3). % 0.43/1.02 % set(auto2) -> assign(max_weight, "200.000"). % 0.43/1.02 % set(auto2) -> assign(max_hours, 1). % 0.43/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600). % 0.43/1.02 % set(auto2) -> assign(max_seconds, 0). % 0.43/1.02 % set(auto2) -> assign(max_minutes, 5). % 0.43/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300). % 0.43/1.02 % set(auto2) -> set(sort_initial_sos). % 0.43/1.02 % set(auto2) -> assign(sos_limit, -1). % 0.43/1.02 % set(auto2) -> assign(lrs_ticks, 3000). % 0.43/1.02 % set(auto2) -> assign(max_megs, 400). % 0.43/1.02 % set(auto2) -> assign(stats, some). % 0.43/1.02 % set(auto2) -> clear(echo_input). % 0.43/1.02 % set(auto2) -> set(quiet). % 0.43/1.02 % set(auto2) -> clear(print_initial_clauses). % 0.43/1.02 % set(auto2) -> clear(print_given). % 0.43/1.02 assign(lrs_ticks,-1). % 0.43/1.02 assign(sos_limit,10000). % 0.43/1.02 assign(order,kbo). % 0.43/1.02 set(lex_order_vars). % 0.43/1.02 clear(print_given). % 0.43/1.02 % 0.43/1.02 % formulas(sos). % not echoed (29 formulas) % 0.43/1.02 % 0.43/1.02 ============================== end of input ========================== % 0.43/1.02 % 0.43/1.02 % From the command line: assign(max_seconds, 300). % 0.43/1.02 % 0.43/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ========== % 0.43/1.02 % 0.43/1.02 % Formulas that are not ordinary clauses: % 0.43/1.02 1 (all X all X2 proj1pair(pair2(X,X2)) = X) # label(axiom_001) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 2 (all X all X2 proj2pair(pair2(X,X2)) = X2) # label(axiom_002) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 3 (all X all X2 head(cons(X,X2)) = X) # label(axiom_003) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 4 (all X all X2 tail(cons(X,X2)) = X2) # label(axiom_004) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 5 (all X all X2 nil != cons(X,X2)) # label(axiom_005) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 6 (all X proj1S(s(X)) = X) # label(axiom_006) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 7 (all X z != s(X)) # label(axiom_007) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 8 (all Y splitAtNat(z,Y) = pair2(nil,Y)) # label(axiom_008) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 9 (all Z splitAtNat(s(Z),nil) = pair2(nil,nil)) # label(axiom_009) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 10 (all Z all X2 all X3 all Ys1 all Zs (splitAtNat(Z,X3) = pair2(Ys1,Zs) -> splitAtNat(s(Z),cons(X2,X3)) = pair2(cons(X2,Ys1),Zs))) # label(axiom_010) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 11 (all Y leqNat(z,Y)) # label(axiom_011) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 12 (all Z -leqNat(s(Z),z)) # label(axiom_012) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 13 (all Z all M (leqNat(s(Z),s(M)) <-> leqNat(Z,M))) # label(axiom_013) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 14 (all Y merge(nil,Y) = Y) # label(axiom_014) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 15 (all Z all Xs merge(cons(Z,Xs),nil) = cons(Z,Xs)) # label(axiom_015) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 16 (all Z all Xs all Y2 all Ys (leqNat(Z,Y2) -> merge(cons(Z,Xs),cons(Y2,Ys)) = cons(Z,merge(Xs,cons(Y2,Ys))))) # label(axiom_016) # label(axiom) # label(non_clause). [assumption]. % 0.43/1.02 17 (all Z all Xs all Y2 all Ys (-leqNat(Z,Y2) -> merge(cons(Z,Xs),cons(Y2,YTerminated % 299.78/300.03 Prover9 interrupted % 299.78/300.03 Terminated %------------------------------------------------------------------------------