%------------------------------------------------------------------------------ % File : Prover9---1109a % Problem : SWX186-1 : 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 02:38:02 PM UTC 2026 % Result : Unsatisfiable 0.38s 0.69s % Output : Refutation 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX186-1 : 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 : Tue Apr 28 23:32:30 EDT 2026 % 0.08/0.25 % CPUTime : % 0.38/0.69 ============================== Prover9 =============================== % 0.38/0.69 Prover9 (32) version 2009-11A, November 2009. % 0.38/0.69 Process 17936 was started by sandbox2 on n012.cluster.edu, % 0.38/0.69 Tue Apr 28 23:32:31 2026 % 0.38/0.69 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17783_n012.cluster.edu". % 0.38/0.69 ============================== end of head =========================== % 0.38/0.69 % 0.38/0.69 ============================== INPUT ================================= % 0.38/0.69 % 0.38/0.69 % Reading from file /tmp/Prover9_17783_n012.cluster.edu % 0.38/0.69 % 0.38/0.69 set(prolog_style_variables). % 0.38/0.69 set(auto2). % 0.38/0.69 % set(auto2) -> set(auto). % 0.38/0.69 % set(auto) -> set(auto_inference). % 0.38/0.69 % set(auto) -> set(auto_setup). % 0.38/0.69 % set(auto_setup) -> set(predicate_elim). % 0.38/0.69 % set(auto_setup) -> assign(eq_defs, unfold). % 0.38/0.69 % set(auto) -> set(auto_limits). % 0.38/0.69 % set(auto_limits) -> assign(max_weight, "100.000"). % 0.38/0.69 % set(auto_limits) -> assign(sos_limit, 20000). % 0.38/0.69 % set(auto) -> set(auto_denials). % 0.38/0.69 % set(auto) -> set(auto_process). % 0.38/0.69 % set(auto2) -> assign(new_constants, 1). % 0.38/0.69 % set(auto2) -> assign(fold_denial_max, 3). % 0.38/0.69 % set(auto2) -> assign(max_weight, "200.000"). % 0.38/0.69 % set(auto2) -> assign(max_hours, 1). % 0.38/0.69 % assign(max_hours, 1) -> assign(max_seconds, 3600). % 0.38/0.69 % set(auto2) -> assign(max_seconds, 0). % 0.38/0.69 % set(auto2) -> assign(max_minutes, 5). % 0.38/0.69 % assign(max_minutes, 5) -> assign(max_seconds, 300). % 0.38/0.69 % set(auto2) -> set(sort_initial_sos). % 0.38/0.69 % set(auto2) -> assign(sos_limit, -1). % 0.38/0.69 % set(auto2) -> assign(lrs_ticks, 3000). % 0.38/0.69 % set(auto2) -> assign(max_megs, 400). % 0.38/0.69 % set(auto2) -> assign(stats, some). % 0.38/0.69 % set(auto2) -> clear(echo_input). % 0.38/0.69 % set(auto2) -> set(quiet). % 0.38/0.69 % set(auto2) -> clear(print_initial_clauses). % 0.38/0.69 % set(auto2) -> clear(print_given). % 0.38/0.69 assign(lrs_ticks,-1). % 0.38/0.69 assign(sos_limit,10000). % 0.38/0.69 assign(order,kbo). % 0.38/0.69 set(lex_order_vars). % 0.38/0.69 clear(print_given). % 0.38/0.69 % 0.38/0.69 % formulas(sos). % not echoed (19 formulas) % 0.38/0.69 % 0.38/0.69 ============================== end of input ========================== % 0.38/0.69 % 0.38/0.69 % From the command line: assign(max_seconds, 300). % 0.38/0.69 % 0.38/0.69 ============================== PROCESS NON-CLAUSAL FORMULAS ========== % 0.38/0.69 % 0.38/0.69 % Formulas that are not ordinary clauses: % 0.38/0.69 % 0.38/0.69 ============================== end of process non-clausal formulas === % 0.38/0.69 % 0.38/0.69 ============================== PROCESS INITIAL CLAUSES =============== % 0.38/0.69 % 0.38/0.69 ============================== PREDICATE ELIMINATION ================= % 0.38/0.69 % 0.38/0.69 ============================== end predicate elimination ============= % 0.38/0.69 % 0.38/0.69 Auto_denials: % 0.38/0.69 % copying label goal to answer in negative clause % 0.38/0.69 % 0.38/0.69 Term ordering decisions: % 0.38/0.69 % 0.38/0.69 % Assigning unary symbol s kb_weight 0 and highest precedence (13). % 0.38/0.69 Function symbol KB weights: bfalse=1. btrue=1. nil=1. z=1. eq=1. cons=1. eq2=1. drop=1. eq3=1. impl=1. prop_drop_inj2=1. s=0. % 0.38/0.69 % 0.38/0.69 ============================== end of process initial clauses ======== % 0.38/0.69 % 0.38/0.69 ============================== CLAUSES FOR SEARCH ==================== % 0.38/0.69 % 0.38/0.69 ============================== end of clauses for search ============= % 0.38/0.69 % 0.38/0.69 ============================== SEARCH ================================ % 0.38/0.69 % 0.38/0.69 % Starting search at 0.01 seconds. % 0.38/0.69 % 0.38/0.69 ============================== PROOF ================================= % 0.38/0.69 % SZS status Unsatisfiable % 0.38/0.69 % SZS output start Refutation % 0.38/0.69 % 0.38/0.69 % Proof 1 at 0.01 (+ 0.00) seconds: goal. % 0.38/0.69 % Length of proof is 12. % 0.38/0.69 % Level of proof is 4. % 0.38/0.69 % Maximum clause weight is 16.000. % 0.38/0.69 % Given clauses 23. % 0.38/0.69 % 0.38/0.69 1 impl(btrue,A) = A # label(axiom) # label(axiom). [assumption]. % 0.38/0.69 6 eq(A,A) = btrue # label(axiom_011) # label(axiom). [assumption]. % 0.38/0.69 8 eq3(A,A) = btrue # label(axiom_013) # label(axiom). [assumption]. % 0.38/0.69 9 drop(s(A),nil) = nil # label(axiom_002) # label(axiom). [assumption]. % 0.38/0.69 12 eq(nil,cons(A,B)) = bfalse # label(axiom_016) # label(axiom). [assumption]. % 0.38/0.69 15 drop(s(A),cons(B,C)) = drop(A,C) # label(axiom_003) # label(axiom). [assumption]. % 0.38/0.69 16 prop_drop_inj2(A,B,C) = impl(eq(drop(A,B),drop(A,C)),eq(B,C)) # label(axiom_005) # label(axiom). [assumption]. % 0.38/0.69 17 eq3(prop_drop_inj2(A,B,C),bfalse) != btrue # label(goal) # label(negated_conjecture) # answer(goal). [assumption]. % 0.38/0.69 18 eq3(impl(eq(drop(A,B),drop(A,C)),eq(B,C)),bfalse) != btrue # answer(goal). [copy(17),rewrite([16(1)])]. % 0.38/0.69 23 eq3(impl(eq(nil,drop(s(A),B)),eq(nil,B)),bfalse) != btrue # answer(goal). [para(9(a,1),18(a,1,1,1,1))]. % 0.38/0.69 34 eq3(impl(eq(nil,drop(A,B)),bfalse),bfalse) != btrue # answer(goal). [para(12(a,1),23(a,1,1,2)),rewrite([15(4)])]. % 0.38/0.69 36 $F # answer(goal). [para(9(a,1),34(a,1,1,1,2)),rewrite([6(3),1(3),8(3)]),xx(a)]. % 0.38/0.69 % 0.38/0.69 % SZS output end Refutation % 0.38/0.69 ============================== end of proof ========================== % 0.38/0.69 % 0.38/0.69 ============================== STATISTICS ============================ % 0.38/0.69 % 0.38/0.69 Given=23. Generated=88. Kept=34. proofs=1. % 0.38/0.69 Usable=23. Sos=10. Demods=19. Limbo=1, Disabled=19. Hints=0. % 0.38/0.69 Megabytes=0.07. % 0.38/0.69 User_CPU=0.01, System_CPU=0.00, Wall_clock=0. % 0.38/0.69 % 0.38/0.69 ============================== end of statistics ===================== % 0.38/0.69 % 0.38/0.69 ============================== end of search ========================= % 0.38/0.69 % 0.38/0.69 THEOREM PROVED % 0.38/0.69 % SZS status Unsatisfiable % 0.38/0.69 % 0.38/0.69 Exiting with 1 proof. % 0.38/0.69 % 0.38/0.69 Process 17936 exit (max_proofs) Tue Apr 28 23:32:31 2026 % 0.38/0.69 Prover9 interrupted %------------------------------------------------------------------------------