%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 : 600s
% DateTime : Mon Jul 18 14:22:30 EDT 2022
% Result : Theorem 0.24s 0.47s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : NUM835+1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.15 % Command : sos-script %s
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Wed Jul 6 09:58:14 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.16/0.39 ----- Otter 3.2, August 2001 -----
% 0.16/0.39 The process was started by sandbox on n020.cluster.edu,
% 0.16/0.39 Wed Jul 6 09:58:14 2022
% 0.16/0.39 The command was "./sos". The process ID is 21252.
% 0.16/0.39
% 0.16/0.39 set(prolog_style_variables).
% 0.16/0.39 set(auto).
% 0.16/0.39 dependent: set(auto1).
% 0.16/0.39 dependent: set(process_input).
% 0.16/0.39 dependent: clear(print_kept).
% 0.16/0.39 dependent: clear(print_new_demod).
% 0.16/0.39 dependent: clear(print_back_demod).
% 0.16/0.39 dependent: clear(print_back_sub).
% 0.16/0.39 dependent: set(control_memory).
% 0.16/0.39 dependent: assign(max_mem, 12000).
% 0.16/0.39 dependent: assign(pick_given_ratio, 4).
% 0.16/0.39 dependent: assign(stats_level, 1).
% 0.16/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.16/0.39 dependent: assign(sos_limit, 5000).
% 0.16/0.39 dependent: assign(max_weight, 60).
% 0.16/0.39 clear(print_given).
% 0.16/0.39
% 0.16/0.39 formula_list(usable).
% 0.16/0.39
% 0.16/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.16/0.39
% 0.16/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.16/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.16/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.16/0.39 clauses in usable.
% 0.16/0.39
% 0.16/0.39 dependent: set(knuth_bendix).
% 0.16/0.39 dependent: set(para_from).
% 0.16/0.39 dependent: set(para_into).
% 0.16/0.39 dependent: clear(para_from_right).
% 0.16/0.39 dependent: clear(para_into_right).
% 0.16/0.39 dependent: set(para_from_vars).
% 0.16/0.39 dependent: set(eq_units_both_ways).
% 0.16/0.39 dependent: set(dynamic_demod_all).
% 0.16/0.39 dependent: set(dynamic_demod).
% 0.16/0.39 dependent: set(order_eq).
% 0.16/0.39 dependent: set(back_demod).
% 0.16/0.39 dependent: set(lrpo).
% 0.16/0.39 dependent: set(hyper_res).
% 0.16/0.39 dependent: set(unit_deletion).
% 0.16/0.39 dependent: set(factor).
% 0.16/0.39
% 0.16/0.39 ------------> process usable:
% 0.16/0.39 Following clause subsumed by 2 during input processing: 0 [flip.1] {-} vplus(vd151,A)!=vd165|m(vsucc(vd165)).
% 0.16/0.39 Following clause subsumed by 2 during input processing: 0 [flip.1] {-} vplus(vd151,A)!=vd165|vsucc(vplus(vd151,A))=vplus(vd151,vsucc(A)).
% 0.16/0.39 Following clause subsumed by 2 during input processing: 0 [flip.1,flip.2] {-} vplus(vd151,A)!=vd165|vsucc(vplus(vd151,A))=vsucc(vd165).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [flip.1] {-} vplus(vd165,A)!=vd151|A=v1|m(vsucc(vd165)).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [flip.1,flip.3] {-} vplus(vd165,A)!=vd151|A=v1|vplus(vsucc(vd165),vskolem3)=vplus(vplus(vd165,v1),vskolem3).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [flip.1,flip.3] {-} vplus(vd165,A)!=vd151|A=v1|vplus(vplus(vd165,v1),vskolem3)=vplus(vd165,vplus(v1,vskolem3)).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [unit_del,4,flip.1] {-} vplus(vd165,A)!=vd151|A=v1.
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [flip.1] {-} vplus(vd165,A)!=vd151|A=v1|vsucc(vskolem3)=vplus(v1,vskolem3).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [flip.1] {-} vplus(vd165,A)!=vd151|A=v1|A=vsucc(vskolem3).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [flip.1] {-} vplus(vd165,A)!=vd151|A!=v1|m(vsucc(vd165)).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [flip.1,flip.3] {-} vplus(vd165,A)!=vd151|A!=v1|vsucc(vd165)=vplus(vd165,v1).
% 0.16/0.39 Following clause subsumed by 4 during input processing: 0 [unit_del,4,flip.1] {-} vplus(vd165,A)!=vd151|A!=v1.
% 0.16/0.39 Following clause subsumed by 6 during input processing: 0 [flip.1] {-} vd165!=vd151|m(vsucc(vd165)).
% 0.16/0.39 Following clause subsumed by 6 during input processing: 0 [flip.1] {-} vd165!=vd151|vplus(vd165,v1)=vplus(vd151,v1).
% 0.16/0.39 Following clause subsumed by 6 during input processing: 0 [flip.1] {-} vd165!=vd151|vsucc(vd165)=vplus(vd165,v1).
% 0.16/0.39 Following clause subsumed by 21 during input processing: 0 [] {-} A!=vplus(B,C)|B!=vplus(A,D).
% 0.16/0.39 Following clause subsumed by 21 during input processing: 0 [] {-} A!=vplus(B,C)|B!=vplus(A,D).
% 0.16/0.39 Following clause subsumed by 20 during input processing: 0 [] {-} A!=vplus(B,C)|B!=A.
% 0.16/0.39 Following clause subsumed by 22 during input processing: 0 [] {-} A!=vplus(B,C)|A!=B.
% 0.16/0.39 Following clause subsumed by 27 during input processing: 0 [] {-} vsucc(A)!=vsucc(B)|A=B.
% 0.16/0.39
% 0.16/0.39 ------------> process sos:
% 0.16/0.39 Following clause subsumed by 32 during input processing: 0 [demod,38] {-} vplus(A,v1)=vplus(v1,A).
% 0.16/0.39 Following clause subsumed by 32 during input processing: 0 [copy,32,flip.1] {-} vplus(A,B)=vplus(B,A).
% 0.16/0.39 Following clause subsumed by 45 during input processing: 0 [copy,45,flip.1] {-} A=A.
% 0.16/0.39 Following clause subsumed by 42 during input processing: 0 [copy,48,flip.1] {-} vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 0.16/0.39
% 0.16/0.39 ======= end of input processing =======
% 0.24/0.45
% 0.24/0.45
% 0.24/0.45 Failed to model usable list: disabling FINDER
% 0.24/0.45
% 0.24/0.45
% 0.24/0.45
% 0.24/0.45 -------------- Softie stats --------------
% 0.24/0.45
% 0.24/0.45 UPDATE_STOP: 300
% 0.24/0.45 SFINDER_TIME_LIMIT: 2
% 0.24/0.45 SHORT_CLAUSE_CUTOFF: 4
% 0.24/0.45 number of clauses in intial UL: 15
% 0.24/0.45 number of clauses initially in problem: 28
% 0.24/0.45 percentage of clauses intially in UL: 53
% 0.24/0.45 percentage of distinct symbols occuring in initial UL: 81
% 0.24/0.45 percent of all initial clauses that are short: 100
% 0.24/0.45 absolute distinct symbol count: 11
% 0.24/0.45 distinct predicate count: 2
% 0.24/0.45 distinct function count: 6
% 0.24/0.45 distinct constant count: 3
% 0.24/0.45
% 0.24/0.45 ---------- no more Softie stats ----------
% 0.24/0.45
% 0.24/0.45
% 0.24/0.45
% 0.24/0.45 =========== start of search ===========
% 0.24/0.47
% 0.24/0.47 -------- PROOF --------
% 0.24/0.47 % SZS status Theorem
% 0.24/0.47 % SZS output start Refutation
% 0.24/0.47
% 0.24/0.47 -----> EMPTY CLAUSE at 0.05 sec ----> 396 [hyper,56,6,unit_del,2,4] {-} $F.
% 0.24/0.47
% 0.24/0.47 Length of proof is 6. Level of proof is 2.
% 0.24/0.47
% 0.24/0.47 ---------------- PROOF ----------------
% 0.24/0.47 % SZS status Theorem
% 0.24/0.47 % SZS output start Refutation
% 0.24/0.47
% 0.24/0.47 1 [] {-} vd165!=vplus(vd151,A).
% 0.24/0.47 2 [copy,1,flip.1] {+} vplus(vd151,A)!=vd165.
% 0.24/0.47 3 [] {-} vd151!=vplus(vd165,A).
% 0.24/0.47 4 [copy,3,flip.1] {+} vplus(vd165,A)!=vd151.
% 0.24/0.47 5 [] {-} vd151!=vd165.
% 0.24/0.47 6 [copy,5,flip.1] {+} vd165!=vd151.
% 0.24/0.47 15 [] {-} -m(A)|B=A|B=vplus(A,$f2(B,A))|A=vplus(B,$f3(B,A)).
% 0.24/0.47 16 [copy,15,flip.3,flip.4] {+} -m(A)|B=A|vplus(A,$f2(B,A))=B|vplus(B,$f3(B,A))=A.
% 0.24/0.47 18 [] {+} m(A)|B!=vplus(A,C).
% 0.24/0.47 45 [] {-} A=A.
% 0.24/0.47 55 [hyper,45,18] {-} m(A).
% 0.24/0.47 56 [hyper,55,16] {-} A=B|vplus(B,$f2(A,B))=A|vplus(A,$f3(A,B))=B.
% 0.24/0.47 396 [hyper,56,6,unit_del,2,4] {-} $F.
% 0.24/0.47
% 0.24/0.47 % SZS output end Refutation
% 0.24/0.47 ------------ end of proof -------------
% 0.24/0.47
% 0.24/0.47
% 0.24/0.47 Search stopped by max_proofs option.
% 0.24/0.47
% 0.24/0.47
% 0.24/0.47 Search stopped by max_proofs option.
% 0.24/0.47
% 0.24/0.47 ============ end of search ============
% 0.24/0.47
% 0.24/0.47 That finishes the proof of the theorem.
% 0.24/0.47
% 0.24/0.47 Process 21252 finished Wed Jul 6 09:58:14 2022
%------------------------------------------------------------------------------