TSTP Solution File: KRS258+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS258+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-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 : 300s
% DateTime : Wed Jul 27 13:01:39 EDT 2022
% Result : Theorem 5.33s 5.52s
% Output : Refutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 20 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
( ~ model(dollar_f10(A,B),B)
| status(A,B,thm) ),
file('KRS258+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ model(A,B)
| ~ model(dollar_f11(B,C),B)
| ~ model(dollar_f11(B,C),C)
| status(B,C,e_qv) ),
file('KRS258+1.p',unknown),
[] ).
cnf(15,plain,
( ~ model(dollar_f11(A,B),A)
| ~ model(dollar_f11(A,B),B)
| status(A,B,e_qv) ),
inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[14])]),
[iquote('copy,14,factor_simp')] ).
cnf(72,axiom,
( ~ status(A,B,C)
| ~ status(A,B,D)
| mighta(C,D) ),
file('KRS258+1.p',unknown),
[] ).
cnf(93,axiom,
~ mighta(e_qv,thm),
file('KRS258+1.p',unknown),
[] ).
cnf(97,plain,
( ~ model(dollar_f11(A,A),A)
| status(A,A,e_qv) ),
inference(factor,[status(thm)],[15]),
[iquote('factor,15.1.2')] ).
cnf(120,axiom,
model(A,dollar_c1),
file('KRS258+1.p',unknown),
[] ).
cnf(149,plain,
status(dollar_c1,dollar_c1,e_qv),
inference(hyper,[status(thm)],[120,97]),
[iquote('hyper,120,97')] ).
cnf(160,plain,
status(A,dollar_c1,thm),
inference(hyper,[status(thm)],[120,11]),
[iquote('hyper,120,11')] ).
cnf(4880,plain,
mighta(e_qv,thm),
inference(hyper,[status(thm)],[160,72,149]),
[iquote('hyper,160,72,149')] ).
cnf(4881,plain,
$false,
inference(binary,[status(thm)],[4880,93]),
[iquote('binary,4880.1,93.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS258+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 03:26:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.01/2.19 ----- Otter 3.3f, August 2004 -----
% 2.01/2.19 The process was started by sandbox on n020.cluster.edu,
% 2.01/2.19 Wed Jul 27 03:26:53 2022
% 2.01/2.19 The command was "./otter". The process ID is 23604.
% 2.01/2.19
% 2.01/2.19 set(prolog_style_variables).
% 2.01/2.19 set(auto).
% 2.01/2.19 dependent: set(auto1).
% 2.01/2.19 dependent: set(process_input).
% 2.01/2.19 dependent: clear(print_kept).
% 2.01/2.19 dependent: clear(print_new_demod).
% 2.01/2.19 dependent: clear(print_back_demod).
% 2.01/2.19 dependent: clear(print_back_sub).
% 2.01/2.19 dependent: set(control_memory).
% 2.01/2.19 dependent: assign(max_mem, 12000).
% 2.01/2.19 dependent: assign(pick_given_ratio, 4).
% 2.01/2.19 dependent: assign(stats_level, 1).
% 2.01/2.19 dependent: assign(max_seconds, 10800).
% 2.01/2.19 clear(print_given).
% 2.01/2.19
% 2.01/2.19 formula_list(usable).
% 2.01/2.19 all Ax C ((-(exists I1 model(I1,Ax))-> -(exists I2 model(I2,C)))<->status(Ax,C,unp)).
% 2.01/2.19 all Ax C (((exists I1 model(I1,Ax))-> (exists I2 model(I2,C)))<->status(Ax,C,sap)).
% 2.01/2.19 all Ax C (((exists I1 model(I1,Ax))<-> (exists I2 model(I2,C)))<->status(Ax,C,esa)).
% 2.01/2.19 all Ax C ((exists I1 (model(I1,Ax)&model(I1,C)))<->status(Ax,C,sat)).
% 2.01/2.19 all Ax C ((all I1 (model(I1,Ax)->model(I1,C)))<->status(Ax,C,thm)).
% 2.01/2.19 all Ax C ((exists I1 model(I1,Ax))& (all I2 (model(I2,Ax)<->model(I2,C)))<->status(Ax,C,e_qv)).
% 2.01/2.19 all Ax C ((exists I1 model(I1,Ax))& (all I2 model(I2,C))<->status(Ax,C,tac)).
% 2.01/2.19 all Ax C ((exists I1 model(I1,Ax))& (all I2 (model(I2,Ax)->model(I2,C)))& (exists I3 (model(I3,C)& -model(I3,Ax)))<->status(Ax,C,wec)).
% 2.01/2.19 all Ax C ((exists I1 model(I1,Ax))& (exists I2 (-model(I2,Ax)))& (all I3 (model(I3,Ax)<->model(I3,C)))<->status(Ax,C,eth)).
% 2.01/2.19 all Ax C ((all I1 (model(I1,Ax)&model(I1,C)))<->status(Ax,C,tau)).
% 2.01/2.19 all Ax C ((exists I1 model(I1,Ax))& (exists I2 (-model(I2,Ax)))& (all I3 model(I3,C))<->status(Ax,C,wtc)).
% 2.01/2.19 all Ax C ((exists I1 model(I1,Ax))& (all I2 (model(I2,Ax)->model(I2,C)))& (exists I3 (model(I3,C)& -model(I3,Ax)))& (exists I4 (-model(I4,C)))<->status(Ax,C,wth)).
% 2.01/2.19 all Ax C (-(exists I1 model(I1,Ax))<->status(Ax,C,cax)).
% 2.01/2.19 all Ax C (-(exists I1 model(I1,Ax))& (exists I2 model(I2,C))<->status(Ax,C,sca)).
% 2.01/2.19 all Ax C (-(exists I1 model(I1,Ax))& (all I2 model(I2,C))<->status(Ax,C,tca)).
% 2.01/2.19 all Ax C (-(exists I1 model(I1,Ax))& (exists I2 model(I2,C))& (exists I3 (-model(I3,C)))<->status(Ax,C,wca)).
% 2.01/2.19 all Ax C ((exists I1 (model(I1,Ax)&model(I1,not(C))))<->status(Ax,C,csa)).
% 2.01/2.19 all Ax C ((all I1 model(I1,Ax))& (all I2 model(I2,not(C)))<->status(Ax,C,uns)).
% 2.01/2.19 all Ax C ((exists I1 (model(I1,Ax)&model(I1,C)))& (exists I2 (model(I2,Ax)&model(I2,not(C))))<->status(Ax,C,noc)).
% 2.01/2.19 all S1 S2 ((exists Ax C (status(Ax,C,S1)&status(Ax,C,S2)))<->mighta(S1,S2)).
% 2.01/2.19 all S1 S2 ((all Ax C (status(Ax,C,S1)->status(Ax,C,S2)))<->isa(S1,S2)).
% 2.01/2.19 all S1 S2 ((exists Ax C (status(Ax,C,S1)& -status(Ax,C,S2)))<->nota(S1,S2)).
% 2.01/2.19 all S1 S2 ((all Ax C (status(Ax,C,S1)-> -status(Ax,C,S2)))<->nevera(S1,S2)).
% 2.01/2.19 all S1 S2 ((all Ax C (-(status(Ax,C,S1)<->status(Ax,C,S2))))<->xora(S1,S2)).
% 2.01/2.19 all I F (-(model(I,F)<->model(I,not(F)))).
% 2.01/2.19 all I F (model(I,F)<-> -model(I,not(F))).
% 2.01/2.19 exists F all I model(I,F).
% 2.01/2.19 exists F ((exists I1 model(I1,F))& (exists I2 (-model(I2,F)))).
% 2.01/2.19 exists F all I (-model(I,F)).
% 2.01/2.19 exists Ax C ((exists I1 (model(I1,Ax)&model(I1,C)))& (exists I2 (-model(I2,Ax)| -model(I2,C)))).
% 2.01/2.19 exists Ax C ((exists I1 model(I1,Ax))& (all I2 (model(I2,Ax)->model(I2,C)))& (exists I3 (-model(I3,Ax)&model(I3,C)))& (exists I4 (-model(I4,C)))).
% 2.01/2.19 exists I1 Ax C (model(I1,Ax)& -model(I1,C)& (exists I2 model(I2,C))).
% 2.01/2.19 -mighta(e_qv,thm).
% 2.01/2.19 end_of_list.
% 2.01/2.19
% 2.01/2.19 -------> usable clausifies to:
% 2.01/2.19
% 2.01/2.19 list(usable).
% 2.01/2.19 0 [] -model(I1,Ax)|status(Ax,C,unp).
% 2.01/2.19 0 [] model($f1(Ax,C),C)|status(Ax,C,unp).
% 2.01/2.19 0 [] model($f2(Ax,C),Ax)| -model(I2,C)| -status(Ax,C,unp).
% 2.01/2.19 0 [] model($f3(Ax,C),Ax)|status(Ax,C,sap).
% 2.01/2.19 0 [] -model(I2,C)|status(Ax,C,sap).
% 2.01/2.19 0 [] -model(I1,Ax)|model($f4(Ax,C),C)| -status(Ax,C,sap).
% 2.01/2.19 0 [] model($f5(Ax,C),Ax)|model($f6(Ax,C),C)|status(Ax,C,esa).
% 2.01/2.19 0 [] -model(I1,Ax)| -model(I2,C)|status(Ax,C,esa).
% 2.01/2.19 0 [] -model(X1,Ax)|model($f7(Ax,C),C)| -status(Ax,C,esa).
% 2.01/2.19 0 [] model($f8(Ax,C),Ax)| -model(X2,C)| -status(Ax,C,esa).
% 2.01/2.19 0 [] -model(I1,Ax)| -model(I1,C)|status(Ax,C,sat).
% 2.01/2.19 0 [] model($f9(Ax,C),Ax)| -status(Ax,C,sat).
% 2.01/2.19 0 [] model($f9(Ax,C),C)| -status(Ax,C,sat).
% 2.01/2.19 0 [] model($f10(Ax,C),Ax)|status(Ax,C,thm).
% 2.01/2.19 0 [] -model($f10(Ax,C),C)|status(Ax,C,thm).
% 2.01/2.19 0 [] -model(I1,Ax)|model(I1,C)| -status(Ax,C,thm).
% 2.01/2.19 0 [] -model(I1,Ax)|model($f11(Ax,C),Ax)|model($f11(Ax,C),C)|status(Ax,C,e_qv).
% 2.01/2.19 0 [] -model(I1,Ax)| -model($f11(Ax,C),Ax)| -model($f11(Ax,C),C)|status(Ax,C,e_qv).
% 2.01/2.19 0 [] model($f12(Ax,C),Ax)| -status(Ax,C,e_qv).
% 2.01/2.19 0 [] -model(I2,Ax)|model(I2,C)| -status(Ax,C,e_qv).
% 2.01/2.19 0 [] model(I2,Ax)| -model(I2,C)| -status(Ax,C,e_qv).
% 2.01/2.19 0 [] -model(I1,Ax)| -model($f13(Ax,C),C)|status(Ax,C,tac).
% 2.01/2.19 0 [] model($f14(Ax,C),Ax)| -status(Ax,C,tac).
% 2.01/2.19 0 [] model(I2,C)| -status(Ax,C,tac).
% 2.01/2.19 0 [] -model(I1,Ax)|model($f15(Ax,C),Ax)| -model(I3,C)|model(I3,Ax)|status(Ax,C,wec).
% 2.01/2.19 0 [] -model(I1,Ax)| -model($f15(Ax,C),C)| -model(I3,C)|model(I3,Ax)|status(Ax,C,wec).
% 2.01/2.19 0 [] model($f16(Ax,C),Ax)| -status(Ax,C,wec).
% 2.01/2.19 0 [] -model(I2,Ax)|model(I2,C)| -status(Ax,C,wec).
% 2.01/2.19 0 [] model($f17(Ax,C),C)| -status(Ax,C,wec).
% 2.01/2.19 0 [] -model($f17(Ax,C),Ax)| -status(Ax,C,wec).
% 2.01/2.19 0 [] -model(I1,Ax)|model(I2,Ax)|model($f18(Ax,C),Ax)|model($f18(Ax,C),C)|status(Ax,C,eth).
% 2.01/2.19 0 [] -model(I1,Ax)|model(I2,Ax)| -model($f18(Ax,C),Ax)| -model($f18(Ax,C),C)|status(Ax,C,eth).
% 2.01/2.19 0 [] model($f19(Ax,C),Ax)| -status(Ax,C,eth).
% 2.01/2.19 0 [] -model($f20(Ax,C),Ax)| -status(Ax,C,eth).
% 2.01/2.19 0 [] -model(I3,Ax)|model(I3,C)| -status(Ax,C,eth).
% 2.01/2.19 0 [] model(I3,Ax)| -model(I3,C)| -status(Ax,C,eth).
% 2.01/2.19 0 [] -model($f21(Ax,C),Ax)| -model($f21(Ax,C),C)|status(Ax,C,tau).
% 2.01/2.19 0 [] model(I1,Ax)| -status(Ax,C,tau).
% 2.01/2.19 0 [] model(I1,C)| -status(Ax,C,tau).
% 2.01/2.19 0 [] -model(I1,Ax)|model(I2,Ax)| -model($f22(Ax,C),C)|status(Ax,C,wtc).
% 2.01/2.19 0 [] model($f23(Ax,C),Ax)| -status(Ax,C,wtc).
% 2.01/2.19 0 [] -model($f24(Ax,C),Ax)| -status(Ax,C,wtc).
% 2.01/2.19 0 [] model(I3,C)| -status(Ax,C,wtc).
% 2.01/2.19 0 [] -model(I1,Ax)|model($f25(Ax,C),Ax)| -model(I3,C)|model(I3,Ax)|model(I4,C)|status(Ax,C,wth).
% 2.01/2.19 0 [] -model(I1,Ax)| -model($f25(Ax,C),C)| -model(I3,C)|model(I3,Ax)|model(I4,C)|status(Ax,C,wth).
% 2.01/2.19 0 [] model($f26(Ax,C),Ax)| -status(Ax,C,wth).
% 2.01/2.19 0 [] -model(I2,Ax)|model(I2,C)| -status(Ax,C,wth).
% 2.01/2.19 0 [] model($f27(Ax,C),C)| -status(Ax,C,wth).
% 2.01/2.19 0 [] -model($f27(Ax,C),Ax)| -status(Ax,C,wth).
% 2.01/2.19 0 [] -model($f28(Ax,C),C)| -status(Ax,C,wth).
% 2.01/2.19 0 [] model($f29(Ax,C),Ax)|status(Ax,C,cax).
% 2.01/2.19 0 [] -model(I1,Ax)| -status(Ax,C,cax).
% 2.01/2.19 0 [] model($f30(Ax,C),Ax)| -model(I2,C)|status(Ax,C,sca).
% 2.01/2.19 0 [] -model(I1,Ax)| -status(Ax,C,sca).
% 2.01/2.19 0 [] model($f31(Ax,C),C)| -status(Ax,C,sca).
% 2.01/2.19 0 [] model($f32(Ax,C),Ax)| -model($f33(Ax,C),C)|status(Ax,C,tca).
% 2.01/2.19 0 [] -model(I1,Ax)| -status(Ax,C,tca).
% 2.01/2.19 0 [] model(I2,C)| -status(Ax,C,tca).
% 2.01/2.19 0 [] model($f34(Ax,C),Ax)| -model(I2,C)|model(I3,C)|status(Ax,C,wca).
% 2.01/2.19 0 [] -model(I1,Ax)| -status(Ax,C,wca).
% 2.01/2.19 0 [] model($f35(Ax,C),C)| -status(Ax,C,wca).
% 2.01/2.19 0 [] -model($f36(Ax,C),C)| -status(Ax,C,wca).
% 2.01/2.19 0 [] -model(I1,Ax)| -model(I1,not(C))|status(Ax,C,csa).
% 2.01/2.19 0 [] model($f37(Ax,C),Ax)| -status(Ax,C,csa).
% 2.01/2.19 0 [] model($f37(Ax,C),not(C))| -status(Ax,C,csa).
% 2.01/2.19 0 [] -model($f38(Ax,C),Ax)| -model($f39(Ax,C),not(C))|status(Ax,C,uns).
% 2.01/2.19 0 [] model(I1,Ax)| -status(Ax,C,uns).
% 2.01/2.19 0 [] model(I2,not(C))| -status(Ax,C,uns).
% 2.01/2.19 0 [] -model(I1,Ax)| -model(I1,C)| -model(I2,Ax)| -model(I2,not(C))|status(Ax,C,noc).
% 2.01/2.19 0 [] model($f40(Ax,C),Ax)| -status(Ax,C,noc).
% 2.01/2.19 0 [] model($f40(Ax,C),C)| -status(Ax,C,noc).
% 2.01/2.19 0 [] model($f41(Ax,C),Ax)| -status(Ax,C,noc).
% 2.01/2.19 0 [] model($f41(Ax,C),not(C))| -status(Ax,C,noc).
% 2.01/2.19 0 [] -status(Ax,C,S1)| -status(Ax,C,S2)|mighta(S1,S2).
% 2.01/2.19 0 [] status($f43(S1,S2),$f42(S1,S2),S1)| -mighta(S1,S2).
% 2.01/2.19 0 [] status($f43(S1,S2),$f42(S1,S2),S2)| -mighta(S1,S2).
% 2.01/2.19 0 [] status($f45(S1,S2),$f44(S1,S2),S1)|isa(S1,S2).
% 2.01/2.19 0 [] -status($f45(S1,S2),$f44(S1,S2),S2)|isa(S1,S2).
% 2.01/2.19 0 [] -status(Ax,C,S1)|status(Ax,C,S2)| -isa(S1,S2).
% 2.01/2.19 0 [] -status(Ax,C,S1)|status(Ax,C,S2)|nota(S1,S2).
% 2.01/2.19 0 [] status($f47(S1,S2),$f46(S1,S2),S1)| -nota(S1,S2).
% 2.01/2.19 0 [] -status($f47(S1,S2),$f46(S1,S2),S2)| -nota(S1,S2).
% 2.01/2.19 0 [] status($f49(S1,S2),$f48(S1,S2),S1)|nevera(S1,S2).
% 2.01/2.19 0 [] status($f49(S1,S2),$f48(S1,S2),S2)|nevera(S1,S2).
% 2.01/2.19 0 [] -status(Ax,C,S1)| -status(Ax,C,S2)| -nevera(S1,S2).
% 2.01/2.19 0 [] -status($f51(S1,S2),$f50(S1,S2),S1)|status($f51(S1,S2),$f50(S1,S2),S2)|xora(S1,S2).
% 2.01/2.19 0 [] status($f51(S1,S2),$f50(S1,S2),S1)| -status($f51(S1,S2),$f50(S1,S2),S2)|xora(S1,S2).
% 2.01/2.19 0 [] status(Ax,C,S1)|status(Ax,C,S2)| -xora(S1,S2).
% 2.01/2.19 0 [] -status(Ax,C,S1)| -status(Ax,C,S2)| -xora(S1,S2).
% 2.01/2.20 0 [] model(I,F)|model(I,not(F)).
% 2.01/2.20 0 [] -model(I,F)| -model(I,not(F)).
% 2.01/2.20 0 [] -model(I,F)| -model(I,not(F)).
% 2.01/2.20 0 [] model(I,F)|model(I,not(F)).
% 2.01/2.20 0 [] model(I,$c1).
% 2.01/2.20 0 [] model($c2,$c4).
% 2.01/2.20 0 [] -model($c3,$c4).
% 2.01/2.20 0 [] -model(I,$c5).
% 2.01/2.20 0 [] model($c6,$c9).
% 2.01/2.20 0 [] model($c6,$c8).
% 2.01/2.20 0 [] -model($c7,$c9)| -model($c7,$c8).
% 2.01/2.20 0 [] model($c10,$c14).
% 2.01/2.20 0 [] -model(I2,$c14)|model(I2,$c13).
% 2.01/2.20 0 [] -model($c11,$c14).
% 2.01/2.20 0 [] model($c11,$c13).
% 2.01/2.20 0 [] -model($c12,$c13).
% 2.01/2.20 0 [] model($c18,$c17).
% 2.01/2.20 0 [] -model($c18,$c16).
% 2.01/2.20 0 [] model($c15,$c16).
% 2.01/2.20 0 [] -mighta(e_qv,thm).
% 2.01/2.20 end_of_list.
% 2.01/2.20
% 2.01/2.20 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 2.01/2.20
% 2.01/2.20 This is a non-Horn set without equality. The strategy will
% 2.01/2.20 be ordered hyper_res, unit deletion, and factoring, with
% 2.01/2.20 satellites in sos and with nuclei in usable.
% 2.01/2.20
% 2.01/2.20 dependent: set(hyper_res).
% 2.01/2.20 dependent: set(factor).
% 2.01/2.20 dependent: set(unit_deletion).
% 2.01/2.20
% 2.01/2.20 ------------> process usable:
% 2.01/2.20 ** KEPT (pick-wt=7): 1 [] -model(A,B)|status(B,C,unp).
% 2.01/2.20 ** KEPT (pick-wt=12): 2 [] model($f2(A,B),A)| -model(C,B)| -status(A,B,unp).
% 2.01/2.20 ** KEPT (pick-wt=7): 3 [] -model(A,B)|status(C,B,sap).
% 2.01/2.20 ** KEPT (pick-wt=12): 4 [] -model(A,B)|model($f4(B,C),C)| -status(B,C,sap).
% 2.01/2.20 ** KEPT (pick-wt=10): 5 [] -model(A,B)| -model(C,D)|status(B,D,esa).
% 2.01/2.20 ** KEPT (pick-wt=12): 6 [] -model(A,B)|model($f7(B,C),C)| -status(B,C,esa).
% 2.01/2.20 ** KEPT (pick-wt=12): 7 [] model($f8(A,B),A)| -model(C,B)| -status(A,B,esa).
% 2.01/2.20 ** KEPT (pick-wt=10): 8 [] -model(A,B)| -model(A,C)|status(B,C,sat).
% 2.01/2.20 ** KEPT (pick-wt=9): 9 [] model($f9(A,B),A)| -status(A,B,sat).
% 2.01/2.20 ** KEPT (pick-wt=9): 10 [] model($f9(A,B),B)| -status(A,B,sat).
% 2.01/2.20 ** KEPT (pick-wt=9): 11 [] -model($f10(A,B),B)|status(A,B,thm).
% 2.01/2.20 ** KEPT (pick-wt=10): 12 [] -model(A,B)|model(A,C)| -status(B,C,thm).
% 2.01/2.20 ** KEPT (pick-wt=17): 13 [] -model(A,B)|model($f11(B,C),B)|model($f11(B,C),C)|status(B,C,e_qv).
% 2.01/2.20 ** KEPT (pick-wt=14): 15 [copy,14,factor_simp] -model($f11(A,B),A)| -model($f11(A,B),B)|status(A,B,e_qv).
% 2.01/2.20 ** KEPT (pick-wt=9): 16 [] model($f12(A,B),A)| -status(A,B,e_qv).
% 2.01/2.20 ** KEPT (pick-wt=10): 17 [] -model(A,B)|model(A,C)| -status(B,C,e_qv).
% 2.01/2.20 ** KEPT (pick-wt=10): 18 [] model(A,B)| -model(A,C)| -status(B,C,e_qv).
% 2.01/2.20 ** KEPT (pick-wt=12): 19 [] -model(A,B)| -model($f13(B,C),C)|status(B,C,tac).
% 2.01/2.20 ** KEPT (pick-wt=9): 20 [] model($f14(A,B),A)| -status(A,B,tac).
% 2.01/2.20 ** KEPT (pick-wt=7): 21 [] model(A,B)| -status(C,B,tac).
% 2.01/2.20 ** KEPT (pick-wt=18): 22 [] -model(A,B)|model($f15(B,C),B)| -model(D,C)|model(D,B)|status(B,C,wec).
% 2.01/2.20 ** KEPT (pick-wt=18): 23 [] -model(A,B)| -model($f15(B,C),C)| -model(D,C)|model(D,B)|status(B,C,wec).
% 2.01/2.20 ** KEPT (pick-wt=9): 24 [] model($f16(A,B),A)| -status(A,B,wec).
% 2.01/2.20 ** KEPT (pick-wt=10): 25 [] -model(A,B)|model(A,C)| -status(B,C,wec).
% 2.01/2.20 ** KEPT (pick-wt=9): 26 [] model($f17(A,B),B)| -status(A,B,wec).
% 2.01/2.20 ** KEPT (pick-wt=9): 27 [] -model($f17(A,B),A)| -status(A,B,wec).
% 2.01/2.20 ** KEPT (pick-wt=17): 29 [copy,28,factor_simp] -model(A,B)|model($f18(B,C),B)|model($f18(B,C),C)|status(B,C,eth).
% 2.01/2.20 ** KEPT (pick-wt=17): 31 [copy,30,factor_simp] -model($f18(A,B),A)|model(C,A)| -model($f18(A,B),B)|status(A,B,eth).
% 2.01/2.20 ** KEPT (pick-wt=9): 32 [] model($f19(A,B),A)| -status(A,B,eth).
% 2.01/2.20 ** KEPT (pick-wt=9): 33 [] -model($f20(A,B),A)| -status(A,B,eth).
% 2.01/2.20 ** KEPT (pick-wt=10): 34 [] -model(A,B)|model(A,C)| -status(B,C,eth).
% 2.01/2.20 ** KEPT (pick-wt=10): 35 [] model(A,B)| -model(A,C)| -status(B,C,eth).
% 2.01/2.20 ** KEPT (pick-wt=14): 36 [] -model($f21(A,B),A)| -model($f21(A,B),B)|status(A,B,tau).
% 2.01/2.20 ** KEPT (pick-wt=7): 37 [] model(A,B)| -status(B,C,tau).
% 2.01/2.20 ** KEPT (pick-wt=7): 38 [] model(A,B)| -status(C,B,tau).
% 2.01/2.20 ** KEPT (pick-wt=15): 39 [] -model(A,B)|model(C,B)| -model($f22(B,D),D)|status(B,D,wtc).
% 2.01/2.20 ** KEPT (pick-wt=9): 40 [] model($f23(A,B),A)| -status(A,B,wtc).
% 2.01/2.20 ** KEPT (pick-wt=9): 41 [] -model($f24(A,B),A)| -status(A,B,wtc).
% 2.01/2.20 ** KEPT (pick-wt=7): 42 [] model(A,B)| -status(C,B,wtc).
% 2.01/2.20 ** KEPT (pick-wt=21): 43 [] -model(A,B)|model($f25(B,C),B)| -model(D,C)|model(D,B)|model(E,C)|status(B,C,wth).
% 2.01/2.20 ** KEPT (pick-wt=21): 44 [] -model(A,B)| -model($f25(B,C),C)| -model(D,C)|model(D,B)|model(E,C)|status(B,C,wth).
% 2.01/2.20 ** KEPT (pick-wt=9): 45 [] model($f26(A,B),A)| -status(A,B,wth).
% 2.01/2.20 ** KEPT (pick-wt=10): 46 [] -model(A,B)|model(A,C)| -status(B,C,wth).
% 2.01/2.20 ** KEPT (pick-wt=9): 47 [] model($f27(A,B),B)| -status(A,B,wth).
% 2.01/2.20 ** KEPT (pick-wt=9): 48 [] -model($f27(A,B),A)| -status(A,B,wth).
% 2.01/2.20 ** KEPT (pick-wt=9): 49 [] -model($f28(A,B),B)| -status(A,B,wth).
% 2.01/2.20 ** KEPT (pick-wt=7): 50 [] -model(A,B)| -status(B,C,cax).
% 2.01/2.20 ** KEPT (pick-wt=12): 51 [] model($f30(A,B),A)| -model(C,B)|status(A,B,sca).
% 2.01/2.20 ** KEPT (pick-wt=7): 52 [] -model(A,B)| -status(B,C,sca).
% 2.01/2.20 ** KEPT (pick-wt=9): 53 [] model($f31(A,B),B)| -status(A,B,sca).
% 2.01/2.20 ** KEPT (pick-wt=14): 54 [] model($f32(A,B),A)| -model($f33(A,B),B)|status(A,B,tca).
% 2.01/2.20 ** KEPT (pick-wt=7): 55 [] -model(A,B)| -status(B,C,tca).
% 2.01/2.20 ** KEPT (pick-wt=7): 56 [] model(A,B)| -status(C,B,tca).
% 2.01/2.20 ** KEPT (pick-wt=15): 57 [] model($f34(A,B),A)| -model(C,B)|model(D,B)|status(A,B,wca).
% 2.01/2.20 ** KEPT (pick-wt=7): 58 [] -model(A,B)| -status(B,C,wca).
% 2.01/2.20 ** KEPT (pick-wt=9): 59 [] model($f35(A,B),B)| -status(A,B,wca).
% 2.01/2.20 ** KEPT (pick-wt=9): 60 [] -model($f36(A,B),B)| -status(A,B,wca).
% 2.01/2.20 ** KEPT (pick-wt=11): 61 [] -model(A,B)| -model(A,not(C))|status(B,C,csa).
% 2.01/2.20 ** KEPT (pick-wt=9): 62 [] model($f37(A,B),A)| -status(A,B,csa).
% 2.01/2.20 ** KEPT (pick-wt=10): 63 [] model($f37(A,B),not(B))| -status(A,B,csa).
% 2.01/2.20 ** KEPT (pick-wt=15): 64 [] -model($f38(A,B),A)| -model($f39(A,B),not(B))|status(A,B,uns).
% 2.01/2.20 ** KEPT (pick-wt=7): 65 [] model(A,B)| -status(B,C,uns).
% 2.01/2.20 ** KEPT (pick-wt=8): 66 [] model(A,not(B))| -status(C,B,uns).
% 2.01/2.20 ** KEPT (pick-wt=17): 67 [] -model(A,B)| -model(A,C)| -model(D,B)| -model(D,not(C))|status(B,C,noc).
% 2.01/2.20 ** KEPT (pick-wt=9): 68 [] model($f40(A,B),A)| -status(A,B,noc).
% 2.01/2.20 ** KEPT (pick-wt=9): 69 [] model($f40(A,B),B)| -status(A,B,noc).
% 2.01/2.20 ** KEPT (pick-wt=9): 70 [] model($f41(A,B),A)| -status(A,B,noc).
% 2.01/2.20 ** KEPT (pick-wt=10): 71 [] model($f41(A,B),not(B))| -status(A,B,noc).
% 2.01/2.20 ** KEPT (pick-wt=11): 72 [] -status(A,B,C)| -status(A,B,D)|mighta(C,D).
% 2.01/2.20 ** KEPT (pick-wt=11): 73 [] status($f43(A,B),$f42(A,B),A)| -mighta(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 74 [] status($f43(A,B),$f42(A,B),B)| -mighta(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 75 [] -status($f45(A,B),$f44(A,B),B)|isa(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 76 [] -status(A,B,C)|status(A,B,D)| -isa(C,D).
% 2.01/2.20 ** KEPT (pick-wt=11): 77 [] -status(A,B,C)|status(A,B,D)|nota(C,D).
% 2.01/2.20 ** KEPT (pick-wt=11): 78 [] status($f47(A,B),$f46(A,B),A)| -nota(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 79 [] -status($f47(A,B),$f46(A,B),B)| -nota(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 80 [] -status(A,B,C)| -status(A,B,D)| -nevera(C,D).
% 2.01/2.20 ** KEPT (pick-wt=19): 81 [] -status($f51(A,B),$f50(A,B),A)|status($f51(A,B),$f50(A,B),B)|xora(A,B).
% 2.01/2.20 ** KEPT (pick-wt=19): 82 [] status($f51(A,B),$f50(A,B),A)| -status($f51(A,B),$f50(A,B),B)|xora(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 83 [] status(A,B,C)|status(A,B,D)| -xora(C,D).
% 2.01/2.20 ** KEPT (pick-wt=11): 84 [] -status(A,B,C)| -status(A,B,D)| -xora(C,D).
% 2.01/2.20 ** KEPT (pick-wt=7): 85 [] -model(A,B)| -model(A,not(B)).
% 2.01/2.20 Following clause subsumed by 85 during input processing: 0 [] -model(A,B)| -model(A,not(B)).
% 2.01/2.20 ** KEPT (pick-wt=3): 86 [] -model($c3,$c4).
% 2.01/2.20 ** KEPT (pick-wt=3): 87 [] -model(A,$c5).
% 2.01/2.20 ** KEPT (pick-wt=6): 88 [] -model($c7,$c9)| -model($c7,$c8).
% 2.01/2.20 ** KEPT (pick-wt=6): 89 [] -model(A,$c14)|model(A,$c13).
% 2.01/2.20 ** KEPT (pick-wt=3): 90 [] -model($c11,$c14).
% 2.01/2.20 ** KEPT (pick-wt=3): 91 [] -model($c12,$c13).
% 2.01/2.20 ** KEPT (pick-wt=3): 92 [] -model($c18,$c16).
% 2.01/2.20 ** KEPT (pick-wt=3): 93 [] -mighta(e_qv,thm).
% 2.01/2.20
% 2.01/2.20 ------------> process sos:
% 2.01/2.20 ** KEPT (pick-wt=9): 111 [] model($f1(A,B),B)|status(A,B,unp).
% 2.01/2.20 ** KEPT (pick-wt=9): 112 [] model($f3(A,B),A)|status(A,B,sap).
% 2.01/2.20 ** KEPT (pick-wt=14): 113 [] model($f5(A,B),A)|model($f6(A,B),B)|status(A,B,esa).
% 2.01/2.20 ** KEPT (pick-wt=9): 114 [] model($f10(A,B),A)|status(A,B,thm).
% 2.01/2.20 ** KEPT (pick-wt=9): 115 [] model($f29(A,B),A)|status(A,B,cax).
% 2.01/2.20 ** KEPT (pick-wt=11): 116 [] status($f45(A,B),$f44(A,B),A)|isa(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 117 [] status($f49(A,B),$f48(A,B),A)|nevera(A,B).
% 2.01/2.20 ** KEPT (pick-wt=11): 118 [] status($f49(A,B),$f48(A,B),B)|nevera(A,B).
% 2.01/2.20 ** KEPT (pick-wt=7): 119 [] model(A,B)|model(A,not(B)).
% 2.01/2.20 Following clause subsumed by 119 during input processing: 0 [] model(A,B)|model(A,not(B)).
% 2.01/2.20 ** KEPT (pick-wt=3): 120 [] model(A,$c1).
% 2.01/2.20 ** KEPT (pick-wt=3): 121 [] model($c2,$c4).
% 5.33/5.52 ** KEPT (pick-wt=3): 122 [] model($c6,$c9).
% 5.33/5.52 ** KEPT (pick-wt=3): 123 [] model($c6,$c8).
% 5.33/5.52 ** KEPT (pick-wt=3): 124 [] model($c10,$c14).
% 5.33/5.52 ** KEPT (pick-wt=3): 125 [] model($c11,$c13).
% 5.33/5.52 ** KEPT (pick-wt=3): 126 [] model($c18,$c17).
% 5.33/5.52 ** KEPT (pick-wt=3): 127 [] model($c15,$c16).
% 5.33/5.52
% 5.33/5.52 ======= end of input processing =======
% 5.33/5.52
% 5.33/5.52 =========== start of search ===========
% 5.33/5.52
% 5.33/5.52
% 5.33/5.52 Resetting weight limit to 8.
% 5.33/5.52
% 5.33/5.52
% 5.33/5.52 Resetting weight limit to 8.
% 5.33/5.52
% 5.33/5.52 sos_size=4524
% 5.33/5.52
% 5.33/5.52 -------- PROOF --------
% 5.33/5.52
% 5.33/5.52 ----> UNIT CONFLICT at 3.33 sec ----> 4881 [binary,4880.1,93.1] $F.
% 5.33/5.52
% 5.33/5.52 Length of proof is 5. Level of proof is 4.
% 5.33/5.52
% 5.33/5.52 ---------------- PROOF ----------------
% 5.33/5.52 % SZS status Theorem
% 5.33/5.52 % SZS output start Refutation
% See solution above
% 5.33/5.52 ------------ end of proof -------------
% 5.33/5.52
% 5.33/5.52
% 5.33/5.52 Search stopped by max_proofs option.
% 5.33/5.52
% 5.33/5.52
% 5.33/5.52 Search stopped by max_proofs option.
% 5.33/5.52
% 5.33/5.52 ============ end of search ============
% 5.33/5.52
% 5.33/5.52 -------------- statistics -------------
% 5.33/5.52 clauses given 67
% 5.33/5.52 clauses generated 18163
% 5.33/5.52 clauses kept 4877
% 5.33/5.52 clauses forward subsumed 8729
% 5.33/5.52 clauses back subsumed 101
% 5.33/5.52 Kbytes malloced 4882
% 5.33/5.52
% 5.33/5.52 ----------- times (seconds) -----------
% 5.33/5.52 user CPU time 3.33 (0 hr, 0 min, 3 sec)
% 5.33/5.52 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 5.33/5.52 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.33/5.52
% 5.33/5.52 That finishes the proof of the theorem.
% 5.33/5.52
% 5.33/5.52 Process 23604 finished Wed Jul 27 03:26:58 2022
% 5.33/5.52 Otter interrupted
% 5.33/5.52 PROOF FOUND
%------------------------------------------------------------------------------