TSTP Solution File: SWV904-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 Jul 27 13:21:45 EDT 2022
% Result : Unsatisfiable 1.59s 1.80s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 1 nHn; 3 RR)
% Number of literals : 6 ( 3 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
c_Com_Ocom_OSemi(A,B) != c_Com_Ocom_OSKIP,
file('SWV904-1.p',unknown),
[] ).
cnf(22,axiom,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
file('SWV904-1.p',unknown),
[] ).
cnf(26,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
| A = B ),
file('SWV904-1.p',unknown),
[] ).
cnf(27,plain,
A = B,
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[26]),22]),
[iquote('copy,26,unit_del,22')] ).
cnf(28,plain,
$false,
inference(binary,[status(thm)],[27,12]),
[iquote('binary,27.1,12.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 06:11:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.59/1.80 ----- Otter 3.3f, August 2004 -----
% 1.59/1.80 The process was started by sandbox2 on n019.cluster.edu,
% 1.59/1.80 Wed Jul 27 06:11:52 2022
% 1.59/1.80 The command was "./otter". The process ID is 31001.
% 1.59/1.80
% 1.59/1.80 set(prolog_style_variables).
% 1.59/1.80 set(auto).
% 1.59/1.80 dependent: set(auto1).
% 1.59/1.80 dependent: set(process_input).
% 1.59/1.80 dependent: clear(print_kept).
% 1.59/1.80 dependent: clear(print_new_demod).
% 1.59/1.80 dependent: clear(print_back_demod).
% 1.59/1.80 dependent: clear(print_back_sub).
% 1.59/1.80 dependent: set(control_memory).
% 1.59/1.80 dependent: assign(max_mem, 12000).
% 1.59/1.80 dependent: assign(pick_given_ratio, 4).
% 1.59/1.80 dependent: assign(stats_level, 1).
% 1.59/1.80 dependent: assign(max_seconds, 10800).
% 1.59/1.80 clear(print_given).
% 1.59/1.80
% 1.59/1.80 list(usable).
% 1.59/1.80 0 [] A=A.
% 1.59/1.80 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_a_H,T_a).
% 1.59/1.80 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_y,T_a).
% 1.59/1.80 0 [] c_Option_Ooption_OSome(V_a_H,T_a)!=c_Option_Ooption_ONone(T_a).
% 1.59/1.80 0 [] c_Option_Ooption_OSome(V_xa,T_a)!=c_Option_Ooption_ONone(T_a).
% 1.59/1.80 0 [] c_Com_OWT(c_Com_Ocom_OBODY(V_pn))|c_Com_Obody(V_pn)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 1.59/1.80 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 1.59/1.80 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 1.59/1.80 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 1.59/1.80 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 1.59/1.80 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 1.59/1.80 0 [] c_Com_Obody(V_P)=c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P),tc_Com_Ocom)| -c_Com_OWT(c_Com_Ocom_OBODY(V_P)).
% 1.59/1.80 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 1.59/1.80 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 1.59/1.80 0 [] c_Option_Ooption_OSome(V_a,T_a)!=c_Option_Ooption_OSome(V_a_H,T_a)|V_a=V_a_H.
% 1.59/1.80 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 1.59/1.80 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 1.59/1.80 0 [] c_Com_Obody(V_pn)!=c_Option_Ooption_OSome(V_b,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(V_b).
% 1.59/1.80 0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 1.59/1.80 0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 1.59/1.80 0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 1.59/1.80 0 [] v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 0 [] c_Hoare__Mirabelle_Ostate__not__singleton|V_x=V_xa.
% 1.59/1.80 0 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t)!=V_t| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 0 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 1.59/1.80 0 [] v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 0 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 0 [] c_Com_OWT__bodies.
% 1.59/1.80 0 [] c_Com_OWT(v_c).
% 1.59/1.80 0 [] -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 end_of_list.
% 1.59/1.80
% 1.59/1.80 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.59/1.80
% 1.59/1.80 This ia a non-Horn set with equality. The strategy will be
% 1.59/1.80 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.59/1.80 deletion, with positive clauses in sos and nonpositive
% 1.59/1.80 clauses in usable.
% 1.59/1.80
% 1.59/1.80 dependent: set(knuth_bendix).
% 1.59/1.80 dependent: set(anl_eq).
% 1.59/1.80 dependent: set(para_from).
% 1.59/1.80 dependent: set(para_into).
% 1.59/1.80 dependent: clear(para_from_right).
% 1.59/1.80 dependent: clear(para_into_right).
% 1.59/1.80 dependent: set(para_from_vars).
% 1.59/1.80 dependent: set(eq_units_both_ways).
% 1.59/1.80 dependent: set(dynamic_demod_all).
% 1.59/1.80 dependent: set(dynamic_demod).
% 1.59/1.80 dependent: set(order_eq).
% 1.59/1.80 dependent: set(back_demod).
% 1.59/1.80 dependent: set(lrpo).
% 1.59/1.80 dependent: set(hyper_res).
% 1.59/1.80 dependent: set(unit_deletion).
% 1.59/1.80 dependent: set(factor).
% 1.59/1.80
% 1.59/1.80 ------------> process usable:
% 1.59/1.80 ** KEPT (pick-wt=6): 1 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 1.59/1.80 Following clause subsumed by 1 during input processing: 0 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 1.59/1.80 ** KEPT (pick-wt=6): 2 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 1.59/1.80 Following clause subsumed by 2 during input processing: 0 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 1.59/1.80 ** KEPT (pick-wt=4): 3 [] c_C
% 1.59/1.80 -------- PROOF --------
% 1.59/1.80 om_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 1.59/1.80 ** KEPT (pick-wt=6): 4 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 1.59/1.80 ** KEPT (pick-wt=6): 5 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 1.59/1.80 ** KEPT (pick-wt=8): 6 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 1.59/1.80 Following clause subsumed by 3 during input processing: 0 [flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 1.59/1.80 ** KEPT (pick-wt=10): 8 [copy,7,flip.1] c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(A),tc_Com_Ocom)=c_Com_Obody(A)| -c_Com_OWT(c_Com_Ocom_OBODY(A)).
% 1.59/1.80 ** KEPT (pick-wt=10): 9 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 1.59/1.80 ** KEPT (pick-wt=10): 10 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 1.59/1.80 ** KEPT (pick-wt=10): 11 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_OSome(C,B)|A=C.
% 1.59/1.80 ** KEPT (pick-wt=5): 12 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.59/1.80 Following clause subsumed by 12 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.59/1.80 ** KEPT (pick-wt=9): 13 [] c_Com_Obody(A)!=c_Option_Ooption_OSome(B,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(B).
% 1.59/1.80 ** KEPT (pick-wt=8): 14 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A).
% 1.59/1.80 ** KEPT (pick-wt=6): 15 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)).
% 1.59/1.80 ** KEPT (pick-wt=6): 16 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)).
% 1.59/1.80 ** KEPT (pick-wt=4): 18 [copy,17,flip.1] v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 ** KEPT (pick-wt=5): 19 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A)!=A| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 ** KEPT (pick-wt=4): 21 [copy,20,flip.1] v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 ** KEPT (pick-wt=1): 22 [] -c_Hoare__Mirabelle_Ostate__not__singleton.
% 1.59/1.80 Following clause subsumed by 2 during input processing: 0 [copy,1,flip.1] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 1.59/1.80 Following clause subsumed by 1 during input processing: 0 [copy,2,flip.1] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 1.59/1.80 Following clause subsumed by 5 during input processing: 0 [copy,4,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 1.59/1.80 Following clause subsumed by 4 during input processing: 0 [copy,5,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 1.59/1.80 22 back subsumes 21.
% 1.59/1.80 22 back subsumes 19.
% 1.59/1.80 22 back subsumes 18.
% 1.59/1.80
% 1.59/1.80 ------------> process sos:
% 1.59/1.80 ** KEPT (pick-wt=3): 24 [] A=A.
% 1.59/1.80 ** KEPT (pick-wt=8): 25 [] c_Com_OWT(c_Com_Ocom_OBODY(A))|c_Com_Obody(A)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 1.59/1.80 ** KEPT (pick-wt=3): 27 [copy,26,unit_del,22] A=B.
% 1.59/1.80
% 1.59/1.80 ----> UNIT CONFLICT at 0.00 sec ----> 28 [binary,27.1,12.1] $F.
% 1.59/1.80
% 1.59/1.80 Length of proof is 1. Level of proof is 1.
% 1.59/1.80
% 1.59/1.80 ---------------- PROOF ----------------
% 1.59/1.80 % SZS status Unsatisfiable
% 1.59/1.80 % SZS output start Refutation
% See solution above
% 1.59/1.80 ------------ end of proof -------------
% 1.59/1.80
% 1.59/1.80
% 1.59/1.80 Search stopped by max_proofs option.
% 1.59/1.80
% 1.59/1.80
% 1.59/1.80 Search stopped by max_proofs option.
% 1.59/1.80
% 1.59/1.80 ============ end of search ============
% 1.59/1.80
% 1.59/1.80 -------------- statistics -------------
% 1.59/1.80 clauses given 0
% 1.59/1.80 clauses generated 1
% 1.59/1.80 clauses kept 23
% 1.59/1.80 clauses forward subsumed 8
% 1.59/1.80 clauses back subsumed 3
% 1.59/1.80 Kbytes malloced 976
% 1.59/1.80
% 1.59/1.80 ----------- times (seconds) -----------
% 1.59/1.80 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.59/1.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.59/1.80 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.59/1.80
% 1.59/1.80 That finishes the proof of the theorem.
% 1.59/1.80
% 1.59/1.80 Process 31001 finished Wed Jul 27 06:11:53 2022
% 1.59/1.80 Otter interrupted
% 1.59/1.80 PROOF FOUND
%------------------------------------------------------------------------------