%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWX205+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n028.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 : Tue May 5 07:05:25 PM UTC 2026 % Result : Unknown 1.91s 2.11s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX205+1 : TPTP v9.3.0. Released v9.3.0. % 0.11/0.13 % Command : otter-tptp-script %s % 0.15/0.33 % Computer : n028.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 May 5 11:31:00 EDT 2026 % 0.15/0.34 % CPUTime : % 1.91/2.11 ----- Otter 3.3f, August 2004 ----- % 1.91/2.11 The process was started by sandbox on n028.cluster.edu, % 1.91/2.11 Tue May 5 11:31:00 2026 % 1.91/2.11 The command was "./otter". The process ID is 16002. % 1.91/2.11 % 1.91/2.11 set(prolog_style_variables). % 1.91/2.11 set(auto). % 1.91/2.11 dependent: set(auto1). % 1.91/2.11 dependent: set(process_input). % 1.91/2.11 dependent: clear(print_kept). % 1.91/2.11 dependent: clear(print_new_demod). % 1.91/2.11 dependent: clear(print_back_demod). % 1.91/2.11 dependent: clear(print_back_sub). % 1.91/2.11 dependent: set(control_memory). % 1.91/2.11 dependent: assign(max_mem, 12000). % 1.91/2.11 dependent: assign(pick_given_ratio, 4). % 1.91/2.11 dependent: assign(stats_level, 1). % 1.91/2.11 dependent: assign(max_seconds, 10800). % 1.91/2.11 clear(print_given). % 1.91/2.11 % 1.91/2.11 formula_list(usable). % 1.91/2.11 all A (A=A). % 1.91/2.11 all X (proj1S(s(X))=X). % 1.91/2.11 all X (z!=s(X)). % 1.91/2.11 -(exists X (s(X)=X)). % 1.91/2.11 end_of_list. % 1.91/2.11 % 1.91/2.11 -------> usable clausifies to: % 1.91/2.11 % 1.91/2.11 list(usable). % 1.91/2.11 0 [] A=A. % 1.91/2.11 0 [] proj1S(s(X))=X. % 1.91/2.11 0 [] z!=s(X). % 1.91/2.11 0 [] s(X)!=X. % 1.91/2.11 end_of_list. % 1.91/2.11 % 1.91/2.11 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1. % 1.91/2.11 % 1.91/2.11 All clauses are units, and equality is present; the % 1.91/2.11 strategy will be Knuth-Bendix with positive clauses in sos. % 1.91/2.11 % 1.91/2.11 dependent: set(knuth_bendix). % 1.91/2.11 dependent: set(anl_eq). % 1.91/2.11 dependent: set(para_from). % 1.91/2.11 dependent: set(para_into). % 1.91/2.11 dependent: clear(para_from_right). % 1.91/2.11 dependent: clear(para_into_right). % 1.91/2.11 dependent: set(para_from_vars). % 1.91/2.11 dependent: set(eq_units_both_ways). % 1.91/2.11 dependent: set(dynamic_demod_all). % 1.91/2.11 dependent: set(dynamic_demod). % 1.91/2.11 dependent: set(order_eq). % 1.91/2.11 dependent: set(back_demod). % 1.91/2.11 dependent: set(lrpo). % 1.91/2.11 % 1.91/2.11 ------------> process usable: % 1.91/2.11 ** KEPT (pick-wt=4): 2 [copy,1,flip.1] s(A)!=z. % 1.91/2.11 ** KEPT (pick-wt=4): 3 [] s(A)!=A. % 1.91/2.11 % 1.91/2.11 ------------> process sos: % 1.91/2.11 ** KEPT (pick-wt=3): 4 [] A=A. % 1.91/2.11 ** KEPT (pick-wt=5): 5 [] proj1S(s(A))=A. % 1.91/2.11 ---> New Demodulator: 6 [new_demod,5] proj1S(s(A))=A. % 1.91/2.11 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A. % 1.91/2.11 >>>> Starting back demodulation with 6. % 1.91/2.11 % 1.91/2.11 ======= end of input processing ======= % 1.91/2.11 % 1.91/2.11 =========== start of search =========== % 1.91/2.11 % 1.91/2.11 Search stopped because sos empty. % 1.91/2.11 % 1.91/2.11 % 1.91/2.11 Search stopped because sos empty. % 1.91/2.11 % 1.91/2.11 ============ end of search ============ % 1.91/2.11 % 1.91/2.11 -------------- statistics ------------- % 1.91/2.11 clauses given 2 % 1.91/2.11 clauses generated 2 % 1.91/2.11 clauses kept 4 % 1.91/2.11 clauses forward subsumed 3 % 1.91/2.11 clauses back subsumed 0 % 1.91/2.11 Kbytes malloced 976 % 1.91/2.11 % 1.91/2.11 ----------- times (seconds) ----------- % 1.91/2.11 user CPU time 0.00 (0 hr, 0 min, 0 sec) % 1.91/2.11 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 1.91/2.11 wall-clock time 2 (0 hr, 0 min, 2 sec) % 1.91/2.11 % 1.91/2.11 Process 16002 finished Tue May 5 11:31:02 2026 % 1.91/2.11 Otter interrupted % 1.91/2.11 PROOF NOT FOUND %------------------------------------------------------------------------------