%------------------------------------------------------------------------------ % 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 : n006.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 1.84s 2.06s % 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. % 0.00/0.12 % Command : otter-tptp-script %s % 0.15/0.33 % Computer : n006.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 11:32:15 EDT 2026 % 0.15/0.33 % CPUTime : % 1.84/2.06 ----- Otter 3.3f, August 2004 ----- % 1.84/2.06 The process was started by sandbox on n006.cluster.edu, % 1.84/2.06 Tue May 5 11:32:16 2026 % 1.84/2.06 The command was "./otter". The process ID is 30140. % 1.84/2.06 % 1.84/2.06 set(prolog_style_variables). % 1.84/2.06 set(auto). % 1.84/2.06 dependent: set(auto1). % 1.84/2.06 dependent: set(process_input). % 1.84/2.06 dependent: clear(print_kept). % 1.84/2.06 dependent: clear(print_new_demod). % 1.84/2.06 dependent: clear(print_back_demod). % 1.84/2.06 dependent: clear(print_back_sub). % 1.84/2.06 dependent: set(control_memory). % 1.84/2.06 dependent: assign(max_mem, 12000). % 1.84/2.06 dependent: assign(pick_given_ratio, 4). % 1.84/2.06 dependent: assign(stats_level, 1). % 1.84/2.06 dependent: assign(max_seconds, 10800). % 1.84/2.06 clear(print_given). % 1.84/2.06 % 1.84/2.06 list(usable). % 1.84/2.06 0 [] A=A. % 1.84/2.06 0 [] impl(btrue,Q)=Q. % 1.84/2.06 0 [] impl(bfalse,Q)=btrue. % 1.84/2.06 0 [] plus_ninf(X)=impl(e_q(s(X),X),e_q2(btrue,bfalse)). % 1.84/2.06 0 [] e_q2(bfalse,btrue)=bfalse. % 1.84/2.06 0 [] e_q2(btrue,bfalse)=bfalse. % 1.84/2.06 0 [] e_q(s(X),s(Y))=e_q(X,Y). % 1.84/2.06 0 [] e_q(z,s(X))=bfalse. % 1.84/2.06 0 [] e_q(s(X),z)=bfalse. % 1.84/2.06 0 [] e_q(X,X)=btrue. % 1.84/2.06 0 [] e_q2(X,X)=btrue. % 1.84/2.06 0 [] e_q2(plus_ninf(X),bfalse)!=btrue. % 1.84/2.06 end_of_list. % 1.84/2.06 % 1.84/2.06 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1. % 1.84/2.06 % 1.84/2.06 All clauses are units, and equality is present; the % 1.84/2.06 strategy will be Knuth-Bendix with positive clauses in sos. % 1.84/2.06 % 1.84/2.06 dependent: set(knuth_bendix). % 1.84/2.06 dependent: set(anl_eq). % 1.84/2.06 dependent: set(para_from). % 1.84/2.06 dependent: set(para_into). % 1.84/2.06 dependent: clear(para_from_right). % 1.84/2.06 dependent: clear(para_into_right). % 1.84/2.06 dependent: set(para_from_vars). % 1.84/2.06 dependent: set(eq_units_both_ways). % 1.84/2.06 dependent: set(dynamic_demod_all). % 1.84/2.06 dependent: set(dynamic_demod). % 1.84/2.06 dependent: set(order_eq). % 1.84/2.06 dependent: set(back_demod). % 1.84/2.06 dependent: set(lrpo). % 1.84/2.06 % 1.84/2.06 ------------> process usable: % 1.84/2.06 ** KEPT (pick-wt=6): 1 [] e_q2(plus_ninf(A),bfalse)!=btrue. % 1.84/2.06 % 1.84/2.06 ------------> process sos: % 1.84/2.06 ** KEPT (pick-wt=3): 2 [] A=A. % 1.84/2.06 ** KEPT (pick-wt=5): 3 [] impl(btrue,A)=A. % 1.84/2.06 ---> New Demodulator: 4 [new_demod,3] impl(btrue,A)=A. % 1.84/2.06 ** KEPT (pick-wt=5): 5 [] impl(bfalse,A)=btrue. % 1.84/2.06 ---> New Demodulator: 6 [new_demod,5] impl(bfalse,A)=btrue. % 1.84/2.06 ** KEPT (pick-wt=11): 8 [copy,7,flip.1] impl(e_q(s(A),A),e_q2(btrue,bfalse))=plus_ninf(A). % 1.84/2.06 ---> New Demodulator: 9 [new_demod,8] impl(e_q(s(A),A),e_q2(btrue,bfalse))=plus_ninf(A). % 1.84/2.06 ** KEPT (pick-wt=5): 10 [] e_q2(bfalse,btrue)=bfalse. % 1.84/2.06 ---> New Demodulator: 11 [new_demod,10] e_q2(bfalse,btrue)=bfalse. % 1.84/2.06 ** KEPT (pick-wt=5): 12 [] e_q2(btrue,bfalse)=bfalse. % 1.84/2.06 ---> New Demodulator: 13 [new_demod,12] e_q2(btrue,bfalse)=bfalse. % 1.84/2.06 ** KEPT (pick-wt=9): 14 [] e_q(s(A),s(B))=e_q(A,B). % 1.84/2.06 ---> New Demodulator: 15 [new_demod,14] e_q(s(A),s(B))=e_q(A,B). % 1.84/2.06 ** KEPT (pick-wt=6): 16 [] e_q(z,s(A))=bfalse. % 1.84/2.06 ---> New Demodulator: 17 [new_demod,16] e_q(z,s(A))=bfalse. % 1.84/2.06 ** KEPT (pick-wt=6): 18 [] e_q(s(A),z)=bfalse. % 1.84/2.06 ---> New Demodulator: 19 [new_demod,18] e_q(s(A),z)=bfalse. % 1.84/2.06 ** KEPT (pick-wt=5): 20 [] e_q(A,A)=btrue. % 1.84/2.06 ---> New Demodulator: 21 [new_demod,20] e_q(A,A)=btrue. % 1.84/2.06 ** KEPT (pick-wt=5): 22 [] e_q2(A,A)=btrue. % 1.84/2.06 ---> New Demodulator: 23 [new_demod,22] e_q2(A,A)=btrue. % 1.84/2.06 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A. % 1.84/2.06 >>>> Starting back demodulation with 4. % 1.84/2.06 >>>> Starting back demodulation with 6. % 1.84/2.06 >>>> Starting back demodulation with 9. % 1.84/2.06 >>>> Starting back demodulation with 11. % 1.84/2.06 >>>> Starting back demodulation with 13. % 1.84/2.06 >> back demodulating 8 with 13. % 1.84/2.06 >>>> Starting back demodulation with 15. % 1.84/2.06 >>>> Starting back demodulation with 17. % 1.84/2.06 >>>> Starting back demodulation with 19. % 1.84/2.06 >>>> Starting back demodulation with 21. % 1.84/2.06 >>>> Starting back demodulation with 23. % 1.84/2.06 >>>> Starting back demodulation with 25. % 1.84/2.06 % 1.84/2.06 ======= end of input processing ======= % 1.84/2.06 % 1.84/2.06 =========== start of search =========== % 1.84/2.06 % 1.84/2.06 Search stopped because sos empty. % 1.84/2.06 % 1.84/2.06 % 1.84/2.06 Search stopped because sos empty. % 1.84/2.06 % 1.84/2.06 ============ end of search ============ % 1.84/2.06 % 1.84/2.06 -------------- statistics ------------- % 1.84/2.06 clauses given 14 % 1.84/2.06 clauses generated 30 % 1.84/2.06 clauses kept 16 % 1.84/2.06 clauses forward subsumed 28 % 1.84/2.06 clauses back subsumed 0 % 1.84/2.06 Kbytes malloced 976 % 1.84/2.06 % 1.84/2.06 ----------- times (seconds) ----------- % 1.84/2.06 user CPU time 0.00 (0 hr, 0 min, 0 sec) % 1.84/2.06 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 1.84/2.06 wall-clock time 1 (0 hr, 0 min, 1 sec) % 1.84/2.06 % 1.84/2.06 Process 30140 finished Tue May 5 11:32:17 2026 % 1.84/2.06 Otter interrupted % 1.84/2.06 PROOF NOT FOUND %------------------------------------------------------------------------------