%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ANA035-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n004.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 19:27:57 EDT 2022
% Result : Unsatisfiable 0.74s 0.91s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA035-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 05:29:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n004.cluster.edu,
% 0.13/0.36 Fri Jul 8 05:29:07 2022
% 0.13/0.36 The command was "./sos". The process ID is 2919.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 0.13/0.36
% 0.13/0.36 This is a Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36 sos and nonpositive clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: clear(order_hyper).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] {-} A=A.
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.41/0.60
% 0.41/0.60 Model 1 (0.00 seconds, 0 Inserts)
% 0.41/0.60
% 0.41/0.60 Stopped by limit on number of solutions
% 0.41/0.60
% 0.41/0.60
% 0.41/0.60 -------------- Softie stats --------------
% 0.41/0.60
% 0.41/0.60 UPDATE_STOP: 300
% 0.41/0.60 SFINDER_TIME_LIMIT: 2
% 0.41/0.60 SHORT_CLAUSE_CUTOFF: 4
% 0.41/0.60 number of clauses in intial UL: 5
% 0.41/0.60 number of clauses initially in problem: 7
% 0.41/0.60 percentage of clauses intially in UL: 71
% 0.41/0.60 percentage of distinct symbols occuring in initial UL: 100
% 0.41/0.60 percent of all initial clauses that are short: 85
% 0.41/0.60 absolute distinct symbol count: 11
% 0.41/0.60 distinct predicate count: 3
% 0.41/0.60 distinct function count: 4
% 0.41/0.60 distinct constant count: 4
% 0.41/0.60
% 0.41/0.60 ---------- no more Softie stats ----------
% 0.41/0.60
% 0.41/0.60
% 0.41/0.60
% 0.41/0.60 Stopped by limit on insertions
% 0.41/0.60
% 0.41/0.60 =========== start of search ===========
% 0.74/0.91
% 0.74/0.91 -------- PROOF --------
% 0.74/0.91 % SZS status Unsatisfiable
% 0.74/0.91 % SZS output start Refutation
% 0.74/0.91
% 0.74/0.91 Stopped by limit on insertions
% 0.74/0.91
% 0.74/0.91 Model 2 [ 1 1 2155 ] (0.00 seconds, 250000 Inserts)
% 0.74/0.91
% 0.74/0.91 ----> UNIT CONFLICT at 0.52 sec ----> 72 [binary,71.1,64.1] {+} $F.
% 0.74/0.91
% 0.74/0.91 Length of proof is 13. Level of proof is 6.
% 0.74/0.91
% 0.74/0.91 ---------------- PROOF ----------------
% 0.74/0.91 % SZS status Unsatisfiable
% 0.74/0.91 % SZS output start Refutation
% 0.74/0.91
% 0.74/0.91 1 [] {+} c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)!=c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.74/0.91 2 [] {+} -class_OrderedGroup_Oab__semigroup__mult(A)|c_times(B,C,A)=c_times(C,B,A).
% 0.74/0.91 3 [] {+} -class_OrderedGroup_Oab__semigroup__mult(A)|c_times(B,c_times(C,D,A),A)=c_times(C,c_times(B,D,A),A).
% 0.74/0.91 4 [] {+} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs(c_times(B,C,A),A)=c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A).
% 0.74/0.91 5 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_OrderedGroup_Oab__semigroup__mult(A).
% 0.74/0.91 6 [] {-} class_Ring__and__Field_Oordered__idom(t_b).
% 0.74/0.91 8 [hyper,6,5] {+} class_OrderedGroup_Oab__semigroup__mult(t_b).
% 0.74/0.91 10,9 [hyper,6,4] {-} c_HOL_Oabs(c_times(A,B,t_b),t_b)=c_times(c_HOL_Oabs(A,t_b),c_HOL_Oabs(B,t_b),t_b).
% 0.74/0.91 11 [back_demod,1,demod,10,flip.1] {-} c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)!=c_times(c_times(v_c,v_ca,t_b),c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.74/0.91 12 [hyper,8,3] {+} c_times(A,c_times(B,C,t_b),t_b)=c_times(B,c_times(A,C,t_b),t_b).
% 0.74/0.91 13 [hyper,8,2] {+} c_times(A,B,t_b)=c_times(B,A,t_b).
% 0.74/0.91 18 [para_into,12.1.1.2,12.1.1] {+} c_times(A,c_times(B,c_times(C,D,t_b),t_b),t_b)=c_times(C,c_times(A,c_times(B,D,t_b),t_b),t_b).
% 0.74/0.91 23 [para_from,12.1.1,11.1.1] {-} c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)!=c_times(c_times(v_c,v_ca,t_b),c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.74/0.91 29 [para_into,13.1.1,12.1.1] {+} c_times(A,c_times(B,C,t_b),t_b)=c_times(c_times(A,C,t_b),B,t_b).
% 0.74/0.91 32 [para_from,13.1.1,23.1.1.2] {-} c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b)!=c_times(c_times(v_c,v_ca,t_b),c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.74/0.91 58 [para_into,32.1.1,18.1.1] {-} c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b)!=c_times(c_times(v_c,v_ca,t_b),c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b).
% 0.74/0.91 63,62 [para_into,29.1.1.2,13.1.1,flip.1] {-} c_times(c_times(A,B,t_b),C,t_b)=c_times(A,c_times(B,C,t_b),t_b).
% 0.74/0.91 64 [para_into,29.1.1.2,12.1.1,demod,63,63] {-} c_times(A,c_times(B,c_times(C,D,t_b),t_b),t_b)=c_times(A,c_times(B,c_times(D,C,t_b),t_b),t_b).
% 0.74/0.91 71 [back_demod,58,demod,63] {-} c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b)!=c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b).
% 0.74/0.91 72 [binary,71.1,64.1] {+} $F.
% 0.74/0.91
% 0.74/0.91 % SZS output end Refutation
% 0.74/0.91 ------------ end of proof -------------
% 0.74/0.91
% 0.74/0.91
% 0.74/0.91 Search stopped by max_proofs option.
% 0.74/0.91
% 0.74/0.91
% 0.74/0.91 Search stopped by max_proofs option.
% 0.74/0.91
% 0.74/0.91 ============ end of search ============
% 0.74/0.91
% 0.74/0.91 ----------- soft-scott stats ----------
% 0.74/0.91
% 0.74/0.91 true clauses given 5 (38.5%)
% 0.74/0.91 false clauses given 8
% 0.74/0.91
% 0.74/0.91 FALSE TRUE
% 0.74/0.91 15 0 3
% 0.74/0.91 21 0 8
% 0.74/0.91 27 0 6
% 0.74/0.91 33 10 2
% 0.74/0.91 35 2 0
% 0.74/0.91 tot: 12 19 (61.3% true)
% 0.74/0.91
% 0.74/0.91
% 0.74/0.91 Model 2 [ 1 1 2155 ] (0.00 seconds, 250000 Inserts)
% 0.74/0.91
% 0.74/0.91 That finishes the proof of the theorem.
% 0.74/0.91
% 0.74/0.91 Process 2919 finished Fri Jul 8 05:29:08 2022
%------------------------------------------------------------------------------