TSTP Solution File: KLE042+2 by Otter---3.3
View Problem
- Process Solution
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% File : Otter---3.3
% Problem : KLE042+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:00:35 EDT 2022
% Result : Timeout 299.83s 300.04s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KLE042+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n008.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 06:35:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.67/1.85 ----- Otter 3.3f, August 2004 -----
% 1.67/1.85 The process was started by sandbox2 on n008.cluster.edu,
% 1.67/1.85 Wed Jul 27 06:35:39 2022
% 1.67/1.85 The command was "./otter". The process ID is 21705.
% 1.67/1.85
% 1.67/1.85 set(prolog_style_variables).
% 1.67/1.85 set(auto).
% 1.67/1.85 dependent: set(auto1).
% 1.67/1.85 dependent: set(process_input).
% 1.67/1.85 dependent: clear(print_kept).
% 1.67/1.85 dependent: clear(print_new_demod).
% 1.67/1.85 dependent: clear(print_back_demod).
% 1.67/1.85 dependent: clear(print_back_sub).
% 1.67/1.85 dependent: set(control_memory).
% 1.67/1.85 dependent: assign(max_mem, 12000).
% 1.67/1.85 dependent: assign(pick_given_ratio, 4).
% 1.67/1.85 dependent: assign(stats_level, 1).
% 1.67/1.85 dependent: assign(max_seconds, 10800).
% 1.67/1.85 clear(print_given).
% 1.67/1.85
% 1.67/1.85 formula_list(usable).
% 1.67/1.85 all A (A=A).
% 1.67/1.85 all A B (addition(A,B)=addition(B,A)).
% 1.67/1.85 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.67/1.85 all A (addition(A,zero)=A).
% 1.67/1.85 all A (addition(A,A)=A).
% 1.67/1.85 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.67/1.85 all A (multiplication(A,one)=A).
% 1.67/1.85 all A (multiplication(one,A)=A).
% 1.67/1.85 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.67/1.85 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.67/1.85 all A (multiplication(A,zero)=zero).
% 1.67/1.85 all A (multiplication(zero,A)=zero).
% 1.67/1.85 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.67/1.85 all A le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.67/1.85 all A le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.67/1.85 all A B C (le_q(addition(multiplication(A,B),C),B)->le_q(multiplication(star(A),C),B)).
% 1.67/1.85 all A B C (le_q(addition(multiplication(A,B),C),A)->le_q(multiplication(C,star(B)),A)).
% 1.67/1.85 -(all X0 X1 (le_q(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0))))&le_q(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0)))).
% 1.67/1.85 end_of_list.
% 1.67/1.85
% 1.67/1.85 -------> usable clausifies to:
% 1.67/1.85
% 1.67/1.85 list(usable).
% 1.67/1.85 0 [] A=A.
% 1.67/1.85 0 [] addition(A,B)=addition(B,A).
% 1.67/1.85 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.67/1.85 0 [] addition(A,zero)=A.
% 1.67/1.85 0 [] addition(A,A)=A.
% 1.67/1.85 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.67/1.85 0 [] multiplication(A,one)=A.
% 1.67/1.85 0 [] multiplication(one,A)=A.
% 1.67/1.85 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.67/1.85 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.67/1.85 0 [] multiplication(A,zero)=zero.
% 1.67/1.85 0 [] multiplication(zero,A)=zero.
% 1.67/1.85 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.67/1.85 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.67/1.85 0 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.67/1.85 0 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.67/1.85 0 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.67/1.85 0 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.67/1.85 0 [] -le_q(multiplication(star(multiplication($c2,$c1)),$c2),multiplication($c2,star(multiplication($c1,$c2))))| -le_q(multiplication($c2,star(multiplication($c1,$c2))),multiplication(star(multiplication($c2,$c1)),$c2)).
% 1.67/1.85 end_of_list.
% 1.67/1.85
% 1.67/1.85 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.67/1.85
% 1.67/1.85 This is a Horn set with equality. The strategy will be
% 1.67/1.85 Knuth-Bendix and hyper_res, with positive clauses in
% 1.67/1.85 sos and nonpositive clauses in usable.
% 1.67/1.85
% 1.67/1.85 dependent: set(knuth_bendix).
% 1.67/1.85 dependent: set(anl_eq).
% 1.67/1.85 dependent: set(para_from).
% 1.67/1.85 dependent: set(para_into).
% 1.67/1.85 dependent: clear(para_from_right).
% 1.67/1.85 dependent: clear(para_into_right).
% 1.67/1.85 dependent: set(para_from_vars).
% 1.67/1.85 dependent: set(eq_units_both_ways).
% 1.67/1.85 dependent: set(dynamic_demod_all).
% 1.67/1.85 dependent: set(dynamic_demod).
% 1.67/1.85 dependent: set(order_eq).
% 1.67/1.85 dependent: set(back_demod).
% 1.67/1.85 dependent: set(lrpo).
% 1.67/1.85 dependent: set(hyper_res).
% 1.67/1.85 dependent: clear(order_hyper).
% 1.67/1.85
% 1.67/1.85 ------------> process usable:
% 1.67/1.85 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.67/1.85 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.67/1.85 ** KEPT (pick-wt=13): 3 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.67/1.85 ** KEPT (pick-wt=13): 4 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.67/1.85 ** KEPT (pick-wt=26): 5 [] -le_q(multiplication(star(multiplication(Alarm clock
% 299.83/300.04 Otter interrupted
% 299.83/300.04 PROOF NOT FOUND
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