TSTP Solution File: ALG417-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG417-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 : Thu Jul 14 18:01:51 EDT 2022
% Result : Unsatisfiable 0.84s 1.03s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : ALG417-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.08 % Command : sos-script %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Wed Jun 8 07:30:21 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.32 ----- Otter 3.2, August 2001 -----
% 0.11/0.32 The process was started by sandbox2 on n032.cluster.edu,
% 0.11/0.32 Wed Jun 8 07:30:21 2022
% 0.11/0.32 The command was "./sos". The process ID is 26700.
% 0.11/0.32
% 0.11/0.32 set(prolog_style_variables).
% 0.11/0.32 set(auto).
% 0.11/0.32 dependent: set(auto1).
% 0.11/0.32 dependent: set(process_input).
% 0.11/0.32 dependent: clear(print_kept).
% 0.11/0.32 dependent: clear(print_new_demod).
% 0.11/0.32 dependent: clear(print_back_demod).
% 0.11/0.32 dependent: clear(print_back_sub).
% 0.11/0.32 dependent: set(control_memory).
% 0.11/0.32 dependent: assign(max_mem, 12000).
% 0.11/0.32 dependent: assign(pick_given_ratio, 4).
% 0.11/0.32 dependent: assign(stats_level, 1).
% 0.11/0.32 dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.32 dependent: assign(sos_limit, 5000).
% 0.11/0.32 dependent: assign(max_weight, 60).
% 0.11/0.32 clear(print_given).
% 0.11/0.32
% 0.11/0.32 list(usable).
% 0.11/0.32
% 0.11/0.32 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.11/0.32
% 0.11/0.32 This ia a non-Horn set with equality. The strategy will be
% 0.11/0.32 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.32 unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.32 clauses in usable.
% 0.11/0.32
% 0.11/0.32 dependent: set(knuth_bendix).
% 0.11/0.32 dependent: set(para_from).
% 0.11/0.32 dependent: set(para_into).
% 0.11/0.32 dependent: clear(para_from_right).
% 0.11/0.32 dependent: clear(para_into_right).
% 0.11/0.32 dependent: set(para_from_vars).
% 0.11/0.32 dependent: set(eq_units_both_ways).
% 0.11/0.32 dependent: set(dynamic_demod_all).
% 0.11/0.32 dependent: set(dynamic_demod).
% 0.11/0.32 dependent: set(order_eq).
% 0.11/0.32 dependent: set(back_demod).
% 0.11/0.32 dependent: set(lrpo).
% 0.11/0.32 dependent: set(hyper_res).
% 0.11/0.32 dependent: set(unit_deletion).
% 0.11/0.32 dependent: set(factor).
% 0.11/0.32
% 0.11/0.32 ------------> process usable:
% 0.11/0.32 Following clause subsumed by 20 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 0.11/0.32 Following clause subsumed by 20 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.32 Following clause subsumed by 20 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.32 Following clause subsumed by 53 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A)=B.
% 0.11/0.32 Following clause subsumed by 66 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.11/0.32 Following clause subsumed by 66 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.11/0.32 Following clause subsumed by 69 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.11/0.32 Following clause subsumed by 70 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.11/0.32 Following clause subsumed by 68 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 0.11/0.32 Following clause subsumed by 84 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 0.11/0.32 Following clause subsumed by 86 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 0.11/0.32 Following clause subsumed by 112 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 0.11/0.32 Following clause subsumed by 1 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A),A).
% 0.11/0.32 Following clause subsumed by 143 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.11/0.32 Following clause subsumed by 144 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 0.11/0.32 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.11/0.32 Following clause subsumed by 158 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 0.11/0.32 Following clause subsumed by 168 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 0.11/0.32 Following clause subsumed by 171 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 0.11/0.32 Following clause subsumed by 177 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.11/0.32 Following clause subsumed by 177 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.11/0.32 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.32 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.32 Following clause subsumed by 48 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.11/0.32 Following clause subsumed by 49 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.11/0.32 Following clause subsumed by 192 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.32 Following clause subsumed by 195 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.11/0.33 Following clause subsumed by 196 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.11/0.33 Following clause subsumed by 153 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.11/0.33 Following clause subsumed by 228 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.11/0.33 Following clause subsumed by 228 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.11/0.33 Following clause subsumed by 228 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.11/0.33 Following clause subsumed by 235 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 0.11/0.33 Following clause subsumed by 237 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 0.11/0.33 Following clause subsumed by 214 during input processing: 0 [flip.3] {-} -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 0.11/0.33 Following clause subsumed by 149 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.11/0.33 Following clause subsumed by 267 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 0.11/0.33 Following clause subsumed by 269 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 0.11/0.33 Following clause subsumed by 289 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 0.11/0.33 Following clause subsumed by 297 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 318 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.11/0.33 Following clause subsumed by 284 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 355 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 353 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 365 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 366 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 345 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 375 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 371 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.11/0.33 Following clause subsumed by 382 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 387 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 345 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 345 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.33 Following clause subsumed by 412 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 0.11/0.33 Following clause subsumed by 314 during input processing: 0 [flip.1] {-} c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))!=v_s____.
% 0.11/0.33 66 back subsumes 22.
% 0.11/0.33 67 back subsumes 21.
% 0.11/0.33 152 back subsumes 76.
% 0.11/0.33
% 0.11/0.33 ------------> process sos:
% 0.11/0.33 Following clause subsumed by 589 during input processing: 0 [copy,493,flip.1] {-} v_s____=v_s____.
% 0.11/0.33 Following clause subsumed by 589 during input processing: 0 [copy,589,flip.1] {-} A=A.
% 0.11/0.33 589 back subsumes 493.
% 0.11/0.33 589 back subsumes 482.
% 0.11/0.33 589 back subsumes 481.
% 0.11/0.33 589 back subsumes 480.
% 0.11/0.33 589 back subsumes 456.
% 0.11/0.33
% 0.11/0.33 ======= end of input processing =======
% 0.67/0.92
% 0.67/0.92 Stopped by limit on insertions
% 0.67/0.92
% 0.67/0.92
% 0.67/0.92 Failed to model usable list: disabling FINDER
% 0.67/0.92
% 0.67/0.92
% 0.67/0.92
% 0.67/0.92 -------------- Softie stats --------------
% 0.67/0.92
% 0.67/0.92 UPDATE_STOP: 300
% 0.67/0.92 SFINDER_TIME_LIMIT: 2
% 0.67/0.92 SHORT_CLAUSE_CUTOFF: 4
% 0.67/0.92 number of clauses in intial UL: 410
% 0.67/0.92 number of clauses initially in problem: 513
% 0.67/0.92 percentage of clauses intially in UL: 79
% 0.67/0.92 percentage of distinct symbols occuring in initial UL: 96
% 0.67/0.92 percent of all initial clauses that are short: 100
% 0.67/0.92 absolute distinct symbol count: 82
% 0.67/0.92 distinct predicate count: 57
% 0.67/0.92 distinct function count: 20
% 0.67/0.92 distinct constant count: 5
% 0.67/0.92
% 0.67/0.92 ---------- no more Softie stats ----------
% 0.67/0.92
% 0.67/0.92
% 0.67/0.92
% 0.67/0.92 =========== start of search ===========
% 0.84/1.03
% 0.84/1.03 -------- PROOF --------
% 0.84/1.03 % SZS status Unsatisfiable
% 0.84/1.03 % SZS output start Refutation
% 0.84/1.03
% 0.84/1.03 -----> EMPTY CLAUSE at 0.69 sec ----> 2594 [para_from,495.1.1,233.2.1.1,demod,489,unit_del,588,314] {-} $F.
% 0.84/1.03
% 0.84/1.03 Length of proof is 3. Level of proof is 1.
% 0.84/1.03
% 0.84/1.03 ---------------- PROOF ----------------
% 0.84/1.03 % SZS status Unsatisfiable
% 0.84/1.03 % SZS output start Refutation
% 0.84/1.03
% 0.84/1.03 233 [] {+} -class_HOL_Ozero(A)|c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.84/1.03 313 [] {-} v_s____!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).
% 0.84/1.03 314 [copy,313,flip.1] {+} c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))!=v_s____.
% 0.84/1.03 487 [] {-} v_s____=c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex).
% 0.84/1.03 489,488 [copy,487,flip.1] {-} c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)=v_s____.
% 0.84/1.03 494 [] {-} v_k____=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 0.84/1.03 495 [copy,494,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=v_k____.
% 0.84/1.03 588 [] {-} class_HOL_Ozero(tc_Complex_Ocomplex).
% 0.84/1.03 2594 [para_from,495.1.1,233.2.1.1,demod,489,unit_del,588,314] {-} $F.
% 0.84/1.03
% 0.84/1.03 % SZS output end Refutation
% 0.84/1.03 ------------ end of proof -------------
% 0.84/1.03
% 0.84/1.03
% 0.84/1.03 Search stopped by max_proofs option.
% 0.84/1.03
% 0.84/1.03
% 0.84/1.03 Search stopped by max_proofs option.
% 0.84/1.03
% 0.84/1.03 ============ end of search ============
% 0.84/1.03
% 0.84/1.03 That finishes the proof of the theorem.
% 0.84/1.03
% 0.84/1.03 Process 26700 finished Wed Jun 8 07:30:22 2022
%------------------------------------------------------------------------------