%------------------------------------------------------------------------------ % File : Prover9---1109a % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : tptp2X_and_run_prover9 %d %s % Computer : n012.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 02:38:05 PM UTC 2026 % Result : Theorem 0.38s 0.68s % Output : Refutation 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.07 % Command : tptp2X_and_run_prover9 %d %s % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Apr 29 00:56:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.38/0.68 ============================== Prover9 =============================== % 0.38/0.68 Prover9 (32) version 2009-11A, November 2009. % 0.38/0.68 Process 2408 was started by sandbox on n012.cluster.edu, % 0.38/0.68 Wed Apr 29 00:56:46 2026 % 0.38/0.68 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2054_n012.cluster.edu". % 0.38/0.68 ============================== end of head =========================== % 0.38/0.68 % 0.38/0.68 ============================== INPUT ================================= % 0.38/0.68 % 0.38/0.68 % Reading from file /tmp/Prover9_2054_n012.cluster.edu % 0.38/0.68 % 0.38/0.68 set(prolog_style_variables). % 0.38/0.68 set(auto2). % 0.38/0.68 % set(auto2) -> set(auto). % 0.38/0.68 % set(auto) -> set(auto_inference). % 0.38/0.68 % set(auto) -> set(auto_setup). % 0.38/0.68 % set(auto_setup) -> set(predicate_elim). % 0.38/0.68 % set(auto_setup) -> assign(eq_defs, unfold). % 0.38/0.68 % set(auto) -> set(auto_limits). % 0.38/0.68 % set(auto_limits) -> assign(max_weight, "100.000"). % 0.38/0.68 % set(auto_limits) -> assign(sos_limit, 20000). % 0.38/0.68 % set(auto) -> set(auto_denials). % 0.38/0.68 % set(auto) -> set(auto_process). % 0.38/0.68 % set(auto2) -> assign(new_constants, 1). % 0.38/0.68 % set(auto2) -> assign(fold_denial_max, 3). % 0.38/0.68 % set(auto2) -> assign(max_weight, "200.000"). % 0.38/0.68 % set(auto2) -> assign(max_hours, 1). % 0.38/0.68 % assign(max_hours, 1) -> assign(max_seconds, 3600). % 0.38/0.68 % set(auto2) -> assign(max_seconds, 0). % 0.38/0.68 % set(auto2) -> assign(max_minutes, 5). % 0.38/0.68 % assign(max_minutes, 5) -> assign(max_seconds, 300). % 0.38/0.68 % set(auto2) -> set(sort_initial_sos). % 0.38/0.68 % set(auto2) -> assign(sos_limit, -1). % 0.38/0.68 % set(auto2) -> assign(lrs_ticks, 3000). % 0.38/0.68 % set(auto2) -> assign(max_megs, 400). % 0.38/0.68 % set(auto2) -> assign(stats, some). % 0.38/0.68 % set(auto2) -> clear(echo_input). % 0.38/0.68 % set(auto2) -> set(quiet). % 0.38/0.68 % set(auto2) -> clear(print_initial_clauses). % 0.38/0.68 % set(auto2) -> clear(print_given). % 0.38/0.68 assign(lrs_ticks,-1). % 0.38/0.68 assign(sos_limit,10000). % 0.38/0.68 assign(order,kbo). % 0.38/0.68 set(lex_order_vars). % 0.38/0.68 clear(print_given). % 0.38/0.68 % 0.38/0.68 % formulas(sos). % not echoed (5 formulas) % 0.38/0.68 % 0.38/0.68 ============================== end of input ========================== % 0.38/0.68 % 0.38/0.68 % From the command line: assign(max_seconds, 300). % 0.38/0.68 % 0.38/0.68 ============================== PROCESS NON-CLAUSAL FORMULAS ========== % 0.38/0.68 % 0.38/0.68 % Formulas that are not ordinary clauses: % 0.38/0.68 1 (all X proj1S(s(X)) = X) # label(axiom_001) # label(axiom) # label(non_clause). [assumption]. % 0.38/0.68 2 (all X z != s(X)) # label(axiom_002) # label(axiom) # label(non_clause). [assumption]. % 0.38/0.68 3 (all Y x2(z,Y) = Y) # label(axiom_003) # label(axiom) # label(non_clause). [assumption]. % 0.38/0.68 4 (all Y all N x2(s(N),Y) = s(x2(N,Y))) # label(axiom_004) # label(axiom) # label(non_clause). [assumption]. % 0.38/0.68 5 -(exists X x2(X,X) = X) # label(goal_005) # label(negated_conjecture) # label(non_clause). [assumption]. % 0.38/0.68 % 0.38/0.68 ============================== end of process non-clausal formulas === % 0.38/0.68 % 0.38/0.68 ============================== PROCESS INITIAL CLAUSES =============== % 0.38/0.68 % 0.38/0.68 ============================== PREDICATE ELIMINATION ================= % 0.38/0.68 % 0.38/0.68 ============================== end predicate elimination ============= % 0.38/0.68 % 0.38/0.68 Auto_denials: % 0.38/0.68 % copying label axiom_002 to answer in negative clause % 0.38/0.68 % copying label goal_005 to answer in negative clause % 0.38/0.68 % assign(max_proofs, 2). % (Horn set with more than one neg. clause) % 0.38/0.68 % 0.38/0.68 Term ordering decisions: % 0.38/0.68 Function symbol KB weights: z=1. x2=1. s=1. proj1S=1. % 0.38/0.68 % 0.38/0.68 ============================== PROOF ================================= % 0.38/0.68 % SZS status Theorem % 0.38/0.68 % SZS output start Refutation % 0.38/0.68 % 0.38/0.68 % Proof 1 at 0.00 (+ 0.00) seconds: goal_005. % 0.38/0.68 % Length of proof is 5. % 0.38/0.68 % Level of proof is 2. % 0.38/0.68 % Maximum clause weight is 5.000. % 0.38/0.68 % Given clauses 0. % 0.38/0.68 % 0.38/0.68 3 (all Y x2(z,Y) = Y) # label(axiom_003) # label(axiom) # label(non_clause). [assumption]. % 0.38/0.68 5 -(exists X x2(X,X) = X) # label(goal_005) # label(negated_conjecture) # label(non_clause). [assumption]. % 0.38/0.68 7 x2(z,A) = A # label(axiom_003) # label(axiom). [clausify(3)]. % 0.38/0.68 11 x2(A,A) != A # label(goal_005) # label(negated_conjecture) # answer(goal_005). [clausify(5)]. % 0.38/0.68 12 $F # answer(goal_005). [resolve(11,a,7,a)]. % 0.38/0.68 % 0.38/0.68 % SZS output end Refutation % 0.38/0.68 ============================== end of proof ========================== % 0.38/0.68 % 0.38/0.68 % Disable descendants (x means already disabled): % 0.38/0.68 11 % 0.38/0.68 % 0.38/0.68 ============================== end of process initial clauses ======== % 2.01/2.31 % 2.01/2.31 ============================== CLAUSES FOR SEARCH ==================== % 2.01/2.31 % 2.01/2.31 ============================== end of clauses for search ============= % 2.01/2.31 % 2.01/2.31 ============================== SEARCH ================================ % 2.01/2.31 % 2.01/2.31 % Starting search at 0.00 seconds. % 2.01/2.31 % 2.01/2.31 ============================== STATISTICS ============================ % 2.01/2.31 % 2.01/2.31 Given=247. Generated=19461. Kept=248. proofs=1. % 2.01/2.31 Usable=247. Sos=0. Demods=148. Limbo=0, Disabled=6. Hints=0. % 2.01/2.31 Megabytes=1.38. % 2.01/2.31 User_CPU=1.62, System_CPU=0.01, Wall_clock=1. % 2.01/2.31 % 2.01/2.31 ============================== end of statistics ===================== % 2.01/2.31 % 2.01/2.31 ============================== end of search ========================= % 2.01/2.31 % 2.01/2.31 SEARCH FAILED % 2.01/2.31 % 2.01/2.31 Exiting with 1 proof. % 2.01/2.31 % 2.01/2.31 Process 2408 exit (sos_empty) Wed Apr 29 00:56:47 2026 % 2.01/2.31 Prover9 interrupted %------------------------------------------------------------------------------