TSTP Solution File: NUM845+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:10:05 EDT 2022
% Result : Theorem 2.06s 2.24s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 13 RR)
% Number of literals : 30 ( 29 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
vmul(vsucc(vd411),vsucc(dollar_c1)) != vplus(vmul(vd411,vsucc(dollar_c1)),vsucc(dollar_c1)),
file('NUM845+2.p',unknown),
[] ).
cnf(13,axiom,
A = A,
file('NUM845+2.p',unknown),
[] ).
cnf(14,axiom,
vmul(vsucc(vd411),dollar_c1) = vplus(vmul(vd411,dollar_c1),dollar_c1),
file('NUM845+2.p',unknown),
[] ).
cnf(18,axiom,
vmul(A,vsucc(B)) = vplus(vmul(A,B),A),
file('NUM845+2.p',unknown),
[] ).
cnf(21,axiom,
vplus(A,B) = vplus(B,A),
file('NUM845+2.p',unknown),
[] ).
cnf(22,axiom,
vplus(v1,A) = vsucc(A),
file('NUM845+2.p',unknown),
[] ).
cnf(24,plain,
vsucc(A) = vplus(v1,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[22])]),
[iquote('copy,22,flip.1')] ).
cnf(26,axiom,
vplus(vplus(A,B),C) = vplus(A,vplus(B,C)),
file('NUM845+2.p',unknown),
[] ).
cnf(29,plain,
vplus(vmul(A,B),A) = vmul(A,vplus(v1,B)),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[18])]),24]),
[iquote('copy,18,flip.1,demod,24')] ).
cnf(31,plain,
vplus(vmul(vd411,dollar_c1),dollar_c1) = vmul(vplus(v1,vd411),dollar_c1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[14]),24])]),
[iquote('back_demod,14,demod,24,flip.1')] ).
cnf(37,plain,
vplus(vmul(vd411,vplus(v1,dollar_c1)),vplus(v1,dollar_c1)) != vmul(vplus(v1,vd411),vplus(v1,dollar_c1)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),24,24,24,24])]),
[iquote('back_demod,1,demod,24,24,24,24,flip.1')] ).
cnf(39,plain,
vplus(A,vplus(B,C)) = vplus(B,vplus(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[26,21]),26]),
[iquote('para_into,25.1.1.1,21.1.1,demod,26')] ).
cnf(40,plain,
vplus(A,vplus(B,C)) = vplus(B,vplus(C,A)),
inference(para_into,[status(thm),theory(equality)],[26,21]),
[iquote('para_into,25.1.1,21.1.1')] ).
cnf(43,plain,
vplus(A,vmul(A,B)) = vmul(A,vplus(v1,B)),
inference(para_into,[status(thm),theory(equality)],[29,21]),
[iquote('para_into,29.1.1,21.1.1')] ).
cnf(45,plain,
vmul(A,vplus(v1,B)) = vplus(A,vmul(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[43])]),
[iquote('copy,43,flip.1')] ).
cnf(47,plain,
vplus(vmul(A,vplus(v1,B)),C) = vplus(vmul(A,B),vplus(A,C)),
inference(para_from,[status(thm),theory(equality)],[29,26]),
[iquote('para_from,29.1.1,25.1.1.1')] ).
cnf(48,plain,
vplus(vmul(vd411,dollar_c1),vplus(vd411,vplus(v1,dollar_c1))) != vmul(vplus(v1,vd411),vplus(v1,dollar_c1)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[37]),47]),
[iquote('back_demod,37,demod,47')] ).
cnf(55,plain,
vmul(vplus(v1,vd411),dollar_c1) = vplus(dollar_c1,vmul(vd411,dollar_c1)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[31,21])]),
[iquote('para_into,31.1.1,21.1.1,flip.1')] ).
cnf(64,plain,
vplus(A,vplus(B,C)) = vplus(A,vplus(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[39,21]),26]),
[iquote('para_into,39.1.1,21.1.1,demod,26')] ).
cnf(118,plain,
vmul(A,vplus(B,v1)) = vplus(A,vmul(A,B)),
inference(para_into,[status(thm),theory(equality)],[45,21]),
[iquote('para_into,45.1.1.2,21.1.1')] ).
cnf(123,plain,
vplus(A,vmul(A,B)) = vmul(A,vplus(B,v1)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[118])]),
[iquote('copy,118,flip.1')] ).
cnf(161,plain,
vplus(v1,vplus(vd411,vplus(dollar_c1,vmul(vd411,dollar_c1)))) = vmul(vplus(v1,vd411),vplus(v1,dollar_c1)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[55,43]),26]),
[iquote('para_from,55.1.1,43.1.1.2,demod,26')] ).
cnf(162,plain,
vplus(dollar_c1,vplus(vmul(vd411,dollar_c1),vplus(v1,vd411))) = vmul(vplus(v1,vd411),vplus(v1,dollar_c1)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[55,29]),26]),
[iquote('para_from,55.1.1,29.1.1.1,demod,26')] ).
cnf(179,plain,
vplus(A,vplus(B,vplus(C,D))) = vplus(B,vplus(D,vplus(C,A))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[64,40]),26]),
[iquote('para_from,64.1.1,40.1.1.2,demod,26')] ).
cnf(184,plain,
vplus(A,vplus(B,vplus(C,D))) = vplus(D,vplus(A,vplus(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[179])]),
[iquote('copy,179,flip.1')] ).
cnf(231,plain,
vmul(vplus(v1,vd411),vplus(v1,dollar_c1)) = vmul(vplus(v1,vd411),vplus(dollar_c1,v1)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[123,55]),26,161]),
[iquote('para_into,123.1.1.2,55.1.1,demod,26,161')] ).
cnf(237,plain,
vplus(dollar_c1,vplus(vmul(vd411,dollar_c1),vplus(v1,vd411))) = vmul(vplus(v1,vd411),vplus(dollar_c1,v1)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[162]),231]),
[iquote('back_demod,162,demod,231')] ).
cnf(240,plain,
vplus(vmul(vd411,dollar_c1),vplus(vd411,vplus(v1,dollar_c1))) != vmul(vplus(v1,vd411),vplus(dollar_c1,v1)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[48]),231]),
[iquote('back_demod,48,demod,231')] ).
cnf(1541,plain,
vmul(vplus(v1,vd411),vplus(dollar_c1,v1)) != vmul(vplus(v1,vd411),vplus(dollar_c1,v1)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[240,184]),237]),
[iquote('para_into,240.1.1,184.1.1,demod,237')] ).
cnf(1542,plain,
$false,
inference(binary,[status(thm)],[1541,13]),
[iquote('binary,1541.1,13.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n017.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 09:14:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.78/1.98 ----- Otter 3.3f, August 2004 -----
% 1.78/1.98 The process was started by sandbox on n017.cluster.edu,
% 1.78/1.98 Wed Jul 27 09:14:33 2022
% 1.78/1.98 The command was "./otter". The process ID is 16298.
% 1.78/1.98
% 1.78/1.98 set(prolog_style_variables).
% 1.78/1.98 set(auto).
% 1.78/1.98 dependent: set(auto1).
% 1.78/1.98 dependent: set(process_input).
% 1.78/1.98 dependent: clear(print_kept).
% 1.78/1.98 dependent: clear(print_new_demod).
% 1.78/1.98 dependent: clear(print_back_demod).
% 1.78/1.98 dependent: clear(print_back_sub).
% 1.78/1.98 dependent: set(control_memory).
% 1.78/1.98 dependent: assign(max_mem, 12000).
% 1.78/1.98 dependent: assign(pick_given_ratio, 4).
% 1.78/1.98 dependent: assign(stats_level, 1).
% 1.78/1.98 dependent: assign(max_seconds, 10800).
% 1.78/1.98 clear(print_given).
% 1.78/1.98
% 1.78/1.98 formula_list(usable).
% 1.78/1.98 all A (A=A).
% 1.78/1.98 -(all Vd416 (vmul(vsucc(vd411),Vd416)=vplus(vmul(vd411,Vd416),Vd416)->vmul(vsucc(vd411),vsucc(Vd416))=vplus(vmul(vd411,vsucc(Vd416)),vsucc(Vd416)))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413))=vplus(vmul(vd411,vsucc(Vd413)),vsucc(Vd413))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413)))=vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413)))=vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413)))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413))=vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413)))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411)))=vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411))=vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411)))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vplus(vmul(vsucc(vd411),Vd413),vsucc(vd411))=vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411))).
% 1.78/1.98 all Vd413 (vmul(vsucc(vd411),Vd413)=vplus(vmul(vd411,Vd413),Vd413)->vmul(vsucc(vd411),vsucc(Vd413))=vplus(vmul(vsucc(vd411),Vd413),vsucc(vd411))).
% 1.78/1.98 vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.78/1.98 all Vd396 Vd397 (vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396)&vmul(Vd396,v1)=Vd396).
% 1.78/1.98 all Vd78 Vd79 (vplus(Vd79,Vd78)=vplus(Vd78,Vd79)).
% 1.78/1.98 all Vd59 (vplus(v1,Vd59)=vsucc(Vd59)).
% 1.78/1.98 all Vd46 Vd47 Vd48 (vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48))).
% 1.78/1.98 all Vd42 Vd43 (vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43))&vplus(Vd42,v1)=vsucc(Vd42)).
% 1.78/1.98 end_of_list.
% 1.78/1.98
% 1.78/1.98 -------> usable clausifies to:
% 1.78/1.98
% 1.78/1.98 list(usable).
% 1.78/1.98 0 [] A=A.
% 1.78/1.98 0 [] vmul(vsucc(vd411),$c1)=vplus(vmul(vd411,$c1),$c1).
% 1.78/1.98 0 [] vmul(vsucc(vd411),vsucc($c1))!=vplus(vmul(vd411,vsucc($c1)),vsucc($c1)).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413))=vplus(vmul(vd411,vsucc(Vd413)),vsucc(Vd413)).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413)))=vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413)).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413)))=vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413))).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413))=vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413))).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411)))=vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413)).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411))=vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411))).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vplus(vmul(vsucc(vd411),Vd413),vsucc(vd411))=vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411)).
% 1.78/1.98 0 [] vmul(vsucc(vd411),Vd413)!=vplus(vmul(vd411,Vd413),Vd413)|vmul(vsucc(vd411),vsucc(Vd413))=vplus(vmul(vsucc(vd411),Vd413),vsucc(vd411)).
% 1.78/1.98 0 [] vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.78/1.98 0 [] vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396).
% 1.78/1.98 0 [] vmul(Vd396,v1)=Vd396.
% 1.78/1.98 0 [] vplus(Vd79,Vd78)=vplus(Vd78,Vd79).
% 1.78/1.98 0 [] vplus(v1,Vd59)=vsucc(Vd59).
% 1.78/1.98 0 [] vplus(vplus(Vd46,Vd47),Vd48)=vplus(Vd46,vplus(Vd47,Vd48)).
% 1.78/1.98 0 [] vplus(Vd42,vsucc(Vd43))=vsucc(vplus(Vd42,Vd43)).
% 1.78/1.98 0 [] vplus(Vd42,v1)=vsucc(Vd42).
% 1.78/1.98 end_of_list.
% 1.78/1.98
% 1.78/1.98 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.78/1.98
% 1.78/1.98 This is a Horn set with equality. The strategy will be
% 1.78/1.98 Knuth-Bendix and hyper_res, with positive clauses in
% 1.78/1.98 sos and nonpositive clauses in usable.
% 1.78/1.98
% 1.78/1.98 dependent: set(knuth_bendix).
% 1.78/1.98 dependent: set(anl_eq).
% 1.78/1.98 dependent: set(para_from).
% 1.78/1.98 dependent: set(para_into).
% 1.78/1.98 dependent: clear(para_from_right).
% 1.78/1.98 dependent: clear(para_into_right).
% 1.78/1.98 dependent: set(para_from_vars).
% 1.78/1.98 dependent: set(eq_units_both_ways).
% 1.78/1.98 dependent: set(dynamic_demod_all).
% 1.78/1.98 dependent: set(dynamic_demod).
% 1.78/1.98 dependent: set(order_eq).
% 1.78/1.98 dependent: set(back_demod).
% 1.78/1.98 dependent: set(lrpo).
% 1.78/1.98 dependent: set(hyper_res).
% 1.78/1.98 dependent: clear(order_hyper).
% 1.78/1.98
% 1.78/1.98 ------------> process usable:
% 1.78/1.98 ** KEPT (pick-wt=13): 1 [] vmul(vsucc(vd411),vsucc($c1))!=vplus(vmul(vd411,vsucc($c1)),vsucc($c1)).
% 1.78/1.98 ** KEPT (pick-wt=26): 3 [copy,2,flip.2] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vplus(vmul(vd411,vsucc(A)),vsucc(A))=vplus(vplus(vmul(vd411,A),vd411),vsucc(A)).
% 1.78/1.98 ** KEPT (pick-wt=27): 5 [copy,4,flip.2] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vplus(vplus(vmul(vd411,A),vd411),vsucc(A))=vplus(vmul(vd411,A),vplus(vd411,vsucc(A))).
% 1.78/1.98 ** KEPT (pick-wt=27): 6 [] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vplus(vmul(vd411,A),vsucc(vplus(vd411,A)))=vplus(vmul(vd411,A),vplus(vd411,vsucc(A))).
% 1.78/1.98 ** KEPT (pick-wt=27): 8 [copy,7,flip.2] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vplus(vmul(vd411,A),vsucc(vplus(vd411,A)))=vplus(vmul(vd411,A),vplus(vsucc(vd411),A)).
% 1.78/1.98 ** KEPT (pick-wt=27): 9 [] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vplus(vmul(vd411,A),vplus(A,vsucc(vd411)))=vplus(vmul(vd411,A),vplus(vsucc(vd411),A)).
% 1.78/1.98 ** KEPT (pick-wt=27): 10 [] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vplus(vplus(vmul(vd411,A),A),vsucc(vd411))=vplus(vmul(vd411,A),vplus(A,vsucc(vd411))).
% 1.78/1.98 ** KEPT (pick-wt=26): 11 [] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vplus(vmul(vsucc(vd411),A),vsucc(vd411))=vplus(vplus(vmul(vd411,A),A),vsucc(vd411)).
% 1.78/1.98 ** KEPT (pick-wt=23): 12 [] vmul(vsucc(vd411),A)!=vplus(vmul(vd411,A),A)|vmul(vsucc(vd411),vsucc(A))=vplus(vmul(vsucc(vd411),A),vsucc(vd411)).
% 1.78/1.98
% 1.78/1.98 ------------> process sos:
% 1.78/1.98 ** KEPT (pick-wt=3): 13 [] A=A.
% 1.78/1.98 ** KEPT (pick-wt=10): 14 [] vmul(vsucc(vd411),$c1)=vplus(vmul(vd411,$c1),$c1).
% 1.78/1.98 ---> New Demodulator: 15 [new_demod,14] vmul(vsucc(vd411),$c1)=vplus(vmul(vd411,$c1),$c1).
% 1.78/1.98 ** KEPT (pick-wt=10): 16 [] vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.78/1.98 ---> New Demodulator: 17 [new_demod,16] vsucc(vmul(vd411,v1))=vplus(vmul(vd411,v1),v1).
% 1.78/1.98 ** KEPT (pick-wt=10): 18 [] vmul(A,vsucc(B))=vplus(vmul(A,B),A).
% 1.78/1.98 ** KEPT (pick-wt=5): 19 [] vmul(A,v1)=A.
% 1.78/1.98 ---> New Demodulator: 20 [new_demod,19] vmul(A,v1)=A.
% 1.78/1.98 ** KEPT (pick-wt=7): 21 [] vplus(A,B)=vplus(B,A).
% 1.78/1.98 ** KEPT (pick-wt=6): 23 [copy,22,flip.1] vsucc(A)=vplus(v1,A).
% 1.78/1.98 ---> New Demodulator: 24 [new_demod,23] vsucc(A)=vplus(v1,A).
% 1.78/1.98 ** KEPT (pick-wt=11): 25 [] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.78/1.98 ---> New Demodulator: 26 [new_demod,25] vplus(vplus(A,B),C)=vplus(A,vplus(B,C)).
% 1.78/1.98 ** KEPT (pick-wt=11): 28 [copy,27,demod,24,24] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 1.78/1.98 Following clause subsumed by 21 during input processing: 0 [demod,24] vplus(A,v1)=vplus(v1,A).
% 1.78/1.98 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A.
% 1.78/1.98 >>>> Starting back demodulation with 15.
% 1.78/1.98 >>>> Starting back demodulation with 17.
% 1.78/1.98 ** KEPT (pick-wt=11): 29 [copy,18,flip.1,demod,24] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.78/1.98 ---> New Demodulator: 30 [new_demod,29] vplus(vmul(A,B),A)=vmul(A,vplus(v1,B)).
% 1.78/1.98 18 back subsumes 12.
% 1.78/1.98 >>>> Starting back demodulation with 20.
% 1.78/1.98 >> back demodulating 16 with 20.
% 1.78/1.98 Following clause subsumed by 21 during input processing: 0 [copy,21,flip.1] vplus(A,B)=vplus(B,A).
% 1.78/1.98 >>>> Starting back demodulation with 24.
% 2.06/2.24 >> back demodulating 18 with 24.
% 2.06/2.24 >> back demodulating 14 with 24.
% 2.06/2.24 >> back demodulating 11 with 24.
% 2.06/2.24 >> back demodulating 10 with 24.
% 2.06/2.24 >> back demodulating 9 with 24.
% 2.06/2.24 >> back demodulating 8 with 24.
% 2.06/2.24 >> back demodulating 6 with 24.
% 2.06/2.24 >> back demodulating 5 with 24.
% 2.06/2.24 >> back demodulating 3 with 24.
% 2.06/2.24 >> back demodulating 1 with 24.
% 2.06/2.24 >>>> Starting back demodulation with 26.
% 2.06/2.24 ** KEPT (pick-wt=11): 38 [copy,28,flip.1] vplus(v1,vplus(A,B))=vplus(A,vplus(v1,B)).
% 2.06/2.24 >>>> Starting back demodulation with 30.
% 2.06/2.24 >>>> Starting back demodulation with 32.
% 2.06/2.24 Following clause subsumed by 28 during input processing: 0 [copy,38,flip.1] vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 2.06/2.24
% 2.06/2.24 ======= end of input processing =======
% 2.06/2.24
% 2.06/2.24 =========== start of search ===========
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 Resetting weight limit to 15.
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 Resetting weight limit to 15.
% 2.06/2.24
% 2.06/2.24 sos_size=1240
% 2.06/2.24
% 2.06/2.24 -------- PROOF --------
% 2.06/2.24
% 2.06/2.24 ----> UNIT CONFLICT at 0.26 sec ----> 1542 [binary,1541.1,13.1] $F.
% 2.06/2.24
% 2.06/2.24 Length of proof is 22. Level of proof is 9.
% 2.06/2.24
% 2.06/2.24 ---------------- PROOF ----------------
% 2.06/2.24 % SZS status Theorem
% 2.06/2.24 % SZS output start Refutation
% See solution above
% 2.06/2.24 ------------ end of proof -------------
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 Search stopped by max_proofs option.
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 Search stopped by max_proofs option.
% 2.06/2.24
% 2.06/2.24 ============ end of search ============
% 2.06/2.24
% 2.06/2.24 -------------- statistics -------------
% 2.06/2.24 clauses given 169
% 2.06/2.24 clauses generated 27790
% 2.06/2.24 clauses kept 1410
% 2.06/2.24 clauses forward subsumed 5631
% 2.06/2.24 clauses back subsumed 45
% 2.06/2.24 Kbytes malloced 4882
% 2.06/2.24
% 2.06/2.24 ----------- times (seconds) -----------
% 2.06/2.24 user CPU time 0.26 (0 hr, 0 min, 0 sec)
% 2.06/2.24 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.06/2.24 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.06/2.24
% 2.06/2.24 That finishes the proof of the theorem.
% 2.06/2.24
% 2.06/2.24 Process 16298 finished Wed Jul 27 09:14:35 2022
% 2.06/2.24 Otter interrupted
% 2.06/2.24 PROOF FOUND
%------------------------------------------------------------------------------