TSTP Solution File: SCT052-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT052-1 : 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 22:11:52 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SCT052-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 23:04:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 ----- Otter 3.2, August 2001 -----
% 0.18/0.43 The process was started by sandbox2 on n020.cluster.edu,
% 0.18/0.43 Fri Jul 1 23:04:45 2022
% 0.18/0.43 The command was "./sos". The process ID is 29497.
% 0.18/0.43
% 0.18/0.43 set(prolog_style_variables).
% 0.18/0.43 set(auto).
% 0.18/0.43 dependent: set(auto1).
% 0.18/0.43 dependent: set(process_input).
% 0.18/0.43 dependent: clear(print_kept).
% 0.18/0.43 dependent: clear(print_new_demod).
% 0.18/0.43 dependent: clear(print_back_demod).
% 0.18/0.43 dependent: clear(print_back_sub).
% 0.18/0.43 dependent: set(control_memory).
% 0.18/0.43 dependent: assign(max_mem, 12000).
% 0.18/0.43 dependent: assign(pick_given_ratio, 4).
% 0.18/0.43 dependent: assign(stats_level, 1).
% 0.18/0.43 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.43 dependent: assign(sos_limit, 5000).
% 0.18/0.43 dependent: assign(max_weight, 60).
% 0.18/0.43 clear(print_given).
% 0.18/0.43
% 0.18/0.43 list(usable).
% 0.18/0.43
% 0.18/0.43 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.18/0.43
% 0.18/0.43 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.43 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.43 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.43 clauses in usable.
% 0.18/0.43
% 0.18/0.43 dependent: set(knuth_bendix).
% 0.18/0.43 dependent: set(para_from).
% 0.18/0.43 dependent: set(para_into).
% 0.18/0.43 dependent: clear(para_from_right).
% 0.18/0.43 dependent: clear(para_into_right).
% 0.18/0.43 dependent: set(para_from_vars).
% 0.18/0.43 dependent: set(eq_units_both_ways).
% 0.18/0.43 dependent: set(dynamic_demod_all).
% 0.18/0.43 dependent: set(dynamic_demod).
% 0.18/0.43 dependent: set(order_eq).
% 0.18/0.43 dependent: set(back_demod).
% 0.18/0.43 dependent: set(lrpo).
% 0.18/0.43 dependent: set(hyper_res).
% 0.18/0.43 dependent: set(unit_deletion).
% 0.18/0.43 dependent: set(factor).
% 0.18/0.43
% 0.18/0.43 ------------> process usable:
% 0.18/0.43 Following clause subsumed by 44 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.18/0.43 Following clause subsumed by 45 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.43 Following clause subsumed by 45 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.18/0.43 Following clause subsumed by 67 during input processing: 0 [] {-} c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lessequals(B,D,tc_fun(C,tc_bool))| -c_lessequals(A,D,tc_fun(C,tc_bool)).
% 0.18/0.43 Following clause subsumed by 68 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.43 Following clause subsumed by 68 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.43 Following clause subsumed by 21 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 0.18/0.43 Following clause subsumed by 21 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 0.18/0.43 Following clause subsumed by 82 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 0.18/0.43 Following clause subsumed by 86 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 0.18/0.43 Following clause subsumed by 87 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 0.18/0.43 Following clause subsumed by 103 during input processing: 0 [] {-} c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D)| -c_in(A,B,D).
% 0.18/0.43 Following clause subsumed by 104 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 0.18/0.43 Following clause subsumed by 105 during input processing: 0 [] {-} c_in(A,B,C)| -c_lessequals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 0.18/0.44 Following clause subsumed by 105 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.18/0.44 Following clause subsumed by 105 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.18/0.44 Following clause subsumed by 114 during input processing: 0 [] {-} c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 0.18/0.44 Following clause subsumed by 117 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 0.18/0.44 Following clause subsumed by 117 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.18/0.44 Following clause subsumed by 117 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.18/0.44 Following clause subsumed by 121 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.44 Following clause subsumed by 121 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.44 Following clause subsumed by 124 during input processing: 0 [] {-} c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))| -c_lessequals(A,B,tc_fun(D,tc_bool)).
% 0.18/0.44 Following clause subsumed by 132 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 0.18/0.44 Following clause subsumed by 133 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 0.18/0.44 Following clause subsumed by 141 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.18/0.44 Following clause subsumed by 154 during input processing: 0 [] {-} -c_lessequals(A,B,tc_fun(C,tc_bool))|c_lessequals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 0.18/0.44 Following clause subsumed by 257 during input processing: 0 [] {-} -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(B,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=D|c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,B,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 0.18/0.44 Following clause subsumed by 259 during input processing: 0 [factor_simp] {-} -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|A=D|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,A,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 0.18/0.44 Following clause subsumed by 295 during input processing: 0 [] {-} c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(D,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)).
% 0.18/0.48 Following clause subsumed by 296 during input processing: 0 [] {-} -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle
% 0.18/0.48 -------- PROOF --------
% 0.18/0.48 % SZS status Unsatisfiable
% 0.18/0.48 % SZS output start Refutation
% 0.18/0.48 _Oalt),tc_bool)).
% 0.18/0.48 Following clause subsumed by 303 during input processing: 0 [] {-} c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))|A=B| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 0.18/0.48 Following clause subsumed by 350 during input processing: 0 [] {-} hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -c_in(c_Pair(F,C,D,D),B,tc_prod(D,D)).
% 0.18/0.48 Following clause subsumed by 353 during input processing: 0 [] {-} c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C))| -c_Relation_Otrans(D,C).
% 0.18/0.48 Following clause subsumed by 354 during input processing: 0 [] {-} c_in(c_Pair(A,B,C,D),c_Relation_Oconverse(E,D,C),tc_prod(C,D))| -c_in(c_Pair(B,A,D,C),E,tc_prod(D,C)).
% 0.18/0.48 Following clause subsumed by 299 during input processing: 0 [] {-} c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)).
% 0.18/0.48 Following clause subsumed by 363 during input processing: 0 [] {-} A=B| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_Relation_Oantisym(D,C).
% 0.18/0.48 Following clause subsumed by 372 during input processing: 0 [] {-} c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_Relation_Osym(D,C).
% 0.18/0.48 Following clause subsumed by 376 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),hAPP(E,A),F)| -c_in(D,c_FuncSet_OPi(B,E,C,F),tc_fun(C,F)).
% 0.18/0.48 Following clause subsumed by 399 during input processing: 0 [] {-} c_in(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_prod(C,D))| -c_in(B,hAPP(F,A),D)| -c_in(A,E,C).
% 0.18/0.48 Following clause subsumed by 400 during input processing: 0 [] {-} c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),B,tc_prod(C,C))| -c_in(D,c_Wellfounded_Oacc(B,C),C).
% 0.18/0.48 Following clause subsumed by 401 during input processing: 0 [] {-} c_in(A,c_Relation_OImage(B,C,D,E),E)| -c_in(c_Pair(F,A,D,E),B,tc_prod(D,E))| -c_in(F,C,D).
% 0.18/0.48 Following clause subsumed by 406 during input processing: 0 [] {-} c_in(A,c_Relation_ORange(B,C,D),D)| -c_in(c_Pair(E,A,C,D),B,tc_prod(C,D)).
% 0.18/0.48 Following clause subsumed by 407 during input processing: 0 [] {-} c_in(A,c_Relation_ODomain(B,C,D),C)| -c_in(c_Pair(A,E,C,D),B,tc_prod(C,D)).
% 0.18/0.48 Following clause subsumed by 411 during input processing: 0 [] {-} c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_in(A,D,B)| -c_Relation_Orefl__on(D,C,B).
% 0.18/0.48 271 back subsumes 265.
% 0.18/0.48 292 back subsumes 282.
% 0.18/0.48 307 back subsumes 302.
% 0.18/0.48 380 back subsumes 379.
% 0.18/0.48 383 back subsumes 382.
% 0.18/0.48
% 0.18/0.48 ------------> process sos:
% 0.18/0.48 Following clause subsumed by 583 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.18/0.48 Following clause subsumed by 583 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.18/0.48 Following clause subsumed by 605 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.18/0.48 Following clause subsumed by 649 during input processing: 0 [] {-} hAPP(c_split(A,B,C,D),c_Pair(E,F,B,C))=hAPP(hAPP(A,E),F).
% 0.18/0.48 Following clause subsumed by 717 during input processing: 0 [] {-} c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)).
% 0.18/0.48 Following clause subsumed by 718 during input processing: 0 [] {-} c_in(c_Pair(A,A,B,B),c_Relation_OId(B),tc_prod(B,B)).
% 0.18/0.48
% 0.18/0.48 ----> UNIT CONFLICT at 0.08 sec ----> 731 [binary,729.1,429.1] {-} $F.
% 0.18/0.48
% 0.18/0.48 Length of proof is 2. Level of proof is 1.
% 0.18/0.48
% 0.18/0.48 ---------------- PROOF ----------------
% 0.18/0.48 % SZS status Unsatisfiable
% 0.18/0.48 % SZS output start Refutation
% 0.18/0.48
% 0.18/0.48 428 [] {-} v_b____!=v_c____.
% 0.18/0.48 429 [copy,428,flip.1] {-} v_c____!=v_b____.
% 0.18/0.48 728 [] {-} v_b____=v_c____.
% 0.18/0.48 729 [copy,728,flip.1] {-} v_c____=v_b____.
% 0.18/0.48 731 [binary,729.1,429.1] {-} $F.
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation
% 0.18/0.48 ------------ end of proof -------------
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Search stopped by max_proofs option.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Search stopped by max_proofs option.
% 0.18/0.48
% 0.18/0.48 ============ end of search ============
% 0.18/0.48
% 0.18/0.48 That finishes the proof of the theorem.
% 0.18/0.48
% 0.18/0.48 Process 29497 finished Fri Jul 1 23:04:45 2022
%------------------------------------------------------------------------------