%------------------------------------------------------------------------------ % File : Prover9---1109a % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_prover9 %d %s % Computer : n024.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 02:38:09 PM UTC 2026 % Result : Unsatisfiable 0.41s 0.70s % Output : Refutation 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.06 % Command : tptp2X_and_run_prover9 %d %s % 0.07/0.24 % Computer : n024.cluster.edu % 0.07/0.24 % Model : x86_64 x86_64 % 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.24 % Memory : 8042.1875MB % 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.24 % CPULimit : 300 % 0.07/0.24 % WCLimit : 300 % 0.07/0.24 % DateTime : Tue Apr 28 21:48:41 EDT 2026 % 0.07/0.25 % CPUTime : % 0.41/0.70 ============================== Prover9 =============================== % 0.41/0.70 Prover9 (32) version 2009-11A, November 2009. % 0.41/0.70 Process 24200 was started by sandbox2 on n024.cluster.edu, % 0.41/0.70 Tue Apr 28 21:48:42 2026 % 0.41/0.70 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24047_n024.cluster.edu". % 0.41/0.70 ============================== end of head =========================== % 0.41/0.70 % 0.41/0.70 ============================== INPUT ================================= % 0.41/0.70 % 0.41/0.70 % Reading from file /tmp/Prover9_24047_n024.cluster.edu % 0.41/0.70 % 0.41/0.70 set(prolog_style_variables). % 0.41/0.70 set(auto2). % 0.41/0.70 % set(auto2) -> set(auto). % 0.41/0.70 % set(auto) -> set(auto_inference). % 0.41/0.70 % set(auto) -> set(auto_setup). % 0.41/0.70 % set(auto_setup) -> set(predicate_elim). % 0.41/0.70 % set(auto_setup) -> assign(eq_defs, unfold). % 0.41/0.70 % set(auto) -> set(auto_limits). % 0.41/0.70 % set(auto_limits) -> assign(max_weight, "100.000"). % 0.41/0.70 % set(auto_limits) -> assign(sos_limit, 20000). % 0.41/0.70 % set(auto) -> set(auto_denials). % 0.41/0.70 % set(auto) -> set(auto_process). % 0.41/0.70 % set(auto2) -> assign(new_constants, 1). % 0.41/0.70 % set(auto2) -> assign(fold_denial_max, 3). % 0.41/0.70 % set(auto2) -> assign(max_weight, "200.000"). % 0.41/0.70 % set(auto2) -> assign(max_hours, 1). % 0.41/0.70 % assign(max_hours, 1) -> assign(max_seconds, 3600). % 0.41/0.70 % set(auto2) -> assign(max_seconds, 0). % 0.41/0.70 % set(auto2) -> assign(max_minutes, 5). % 0.41/0.70 % assign(max_minutes, 5) -> assign(max_seconds, 300). % 0.41/0.70 % set(auto2) -> set(sort_initial_sos). % 0.41/0.70 % set(auto2) -> assign(sos_limit, -1). % 0.41/0.70 % set(auto2) -> assign(lrs_ticks, 3000). % 0.41/0.70 % set(auto2) -> assign(max_megs, 400). % 0.41/0.70 % set(auto2) -> assign(stats, some). % 0.41/0.70 % set(auto2) -> clear(echo_input). % 0.41/0.70 % set(auto2) -> set(quiet). % 0.41/0.70 % set(auto2) -> clear(print_initial_clauses). % 0.41/0.70 % set(auto2) -> clear(print_given). % 0.41/0.70 assign(lrs_ticks,-1). % 0.41/0.70 assign(sos_limit,10000). % 0.41/0.70 assign(order,kbo). % 0.41/0.70 set(lex_order_vars). % 0.41/0.70 clear(print_given). % 0.41/0.70 % 0.41/0.70 % formulas(sos). % not echoed (13 formulas) % 0.41/0.70 % 0.41/0.70 ============================== end of input ========================== % 0.41/0.70 % 0.41/0.70 % From the command line: assign(max_seconds, 300). % 0.41/0.70 % 0.41/0.70 ============================== PROCESS NON-CLAUSAL FORMULAS ========== % 0.41/0.70 % 0.41/0.70 % Formulas that are not ordinary clauses: % 0.41/0.70 % 0.41/0.70 ============================== end of process non-clausal formulas === % 0.41/0.70 % 0.41/0.70 ============================== PROCESS INITIAL CLAUSES =============== % 0.41/0.70 % 0.41/0.70 ============================== PREDICATE ELIMINATION ================= % 0.41/0.70 % 0.41/0.70 ============================== end predicate elimination ============= % 0.41/0.70 % 0.41/0.70 Auto_denials: % 0.41/0.70 % copying label goal to answer in negative clause % 0.41/0.70 % 0.41/0.70 Term ordering decisions: % 0.41/0.70 Function symbol KB weights: bfalse=1. btrue=1. nil=1. eq=1. aux=1. cons=1. f=1. g=1. h=1. prop1=1. % 0.41/0.70 % 0.41/0.70 ============================== end of process initial clauses ======== % 0.41/0.70 % 0.41/0.70 ============================== CLAUSES FOR SEARCH ==================== % 0.41/0.70 % 0.41/0.70 ============================== end of clauses for search ============= % 0.41/0.70 % 0.41/0.70 ============================== SEARCH ================================ % 0.41/0.70 % 0.41/0.70 % Starting search at 0.01 seconds. % 0.41/0.70 % 0.41/0.70 ============================== PROOF ================================= % 0.41/0.70 % SZS status Unsatisfiable % 0.41/0.70 % SZS output start Refutation % 0.41/0.70 % 0.41/0.70 % Proof 1 at 0.01 (+ 0.00) seconds: goal. % 0.41/0.70 % Length of proof is 8. % 0.41/0.70 % Level of proof is 3. % 0.41/0.70 % Maximum clause weight is 7.000. % 0.41/0.70 % Given clauses 14. % 0.41/0.70 % 0.41/0.70 4 f(nil) = btrue # label(axiom_006) # label(axiom). [assumption]. % 0.41/0.70 8 eq(btrue,bfalse) = bfalse # label(axiom_010) # label(axiom). [assumption]. % 0.41/0.70 9 eq(A,A) = btrue # label(axiom_011) # label(axiom). [assumption]. % 0.41/0.70 11 prop1(A) = eq(f(A),bfalse) # label(axiom_008) # label(axiom). [assumption]. % 0.41/0.70 12 eq(f(A),bfalse) = prop1(A). [copy(11),flip(a)]. % 0.41/0.70 14 eq(prop1(A),bfalse) != btrue # label(goal) # label(negated_conjecture) # answer(goal). [assumption]. % 0.41/0.70 15 prop1(nil) = bfalse. [para(4(a,1),12(a,1,1)),rewrite([8(3)]),flip(a)]. % 0.41/0.70 20 $F # answer(goal). [para(15(a,1),14(a,1,1)),rewrite([9(3)]),xx(a)]. % 0.41/0.70 % 0.41/0.70 % SZS output end Refutation % 0.41/0.70 ============================== end of proof ========================== % 0.41/0.70 % 0.41/0.70 ============================== STATISTICS ============================ % 0.41/0.70 % 0.41/0.70 Given=14. Generated=33. Kept=18. proofs=1. % 0.41/0.70 Usable=14. Sos=4. Demods=14. Limbo=0, Disabled=13. Hints=0. % 0.41/0.70 Megabytes=0.04. % 0.41/0.70 User_CPU=0.01, System_CPU=0.00, Wall_clock=0. % 0.41/0.70 % 0.41/0.70 ============================== end of statistics ===================== % 0.41/0.70 % 0.41/0.70 ============================== end of search ========================= % 0.41/0.70 % 0.41/0.70 THEOREM PROVED % 0.41/0.70 % SZS status Unsatisfiable % 0.41/0.70 % 0.41/0.70 Exiting with 1 proof. % 0.41/0.70 % 0.41/0.70 Process 24200 exit (max_proofs) Tue Apr 28 21:48:42 2026 % 0.41/0.70 Prover9 interrupted %------------------------------------------------------------------------------