TSTP Solution File: RNG045+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:12:10 EDT 2022
% Result : Theorem 1.77s 2.04s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 26 unt; 0 nHn; 33 RR)
% Number of literals : 56 ( 29 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(20,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtpldt0(A,B) = sdtpldt0(B,A) ),
file('RNG045+1.p',unknown),
[] ).
cnf(21,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| sdtpldt0(A,B) = sdtpldt0(B,A) ),
inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[20])]),
[iquote('copy,20,factor_simp')] ).
cnf(23,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtasdt0(A,B) = sdtasdt0(B,A) ),
file('RNG045+1.p',unknown),
[] ).
cnf(24,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| sdtasdt0(A,B) = sdtasdt0(B,A) ),
inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[23])]),
[iquote('copy,23,factor_simp')] ).
cnf(25,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtasdt0(A,sdtpldt0(B,C)) = sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C)) ),
file('RNG045+1.p',unknown),
[] ).
cnf(26,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C)) = sdtasdt0(A,sdtpldt0(B,C)) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[25])]),
[iquote('copy,25,flip.4')] ).
cnf(27,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtasdt0(sdtpldt0(A,B),C) = sdtpldt0(sdtasdt0(A,C),sdtasdt0(B,C)) ),
file('RNG045+1.p',unknown),
[] ).
cnf(28,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtpldt0(sdtasdt0(A,C),sdtasdt0(B,C)) = sdtasdt0(sdtpldt0(A,B),C) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[27])]),
[iquote('copy,27,flip.4')] ).
cnf(29,axiom,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
file('RNG045+1.p',unknown),
[] ).
cnf(30,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) != sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[29])]),
[iquote('copy,29,flip.1')] ).
cnf(52,axiom,
A = A,
file('RNG045+1.p',unknown),
[] ).
cnf(55,axiom,
aScalar0(xx),
file('RNG045+1.p',unknown),
[] ).
cnf(56,axiom,
aScalar0(xy),
file('RNG045+1.p',unknown),
[] ).
cnf(57,axiom,
aScalar0(xu),
file('RNG045+1.p',unknown),
[] ).
cnf(58,axiom,
aScalar0(xv),
file('RNG045+1.p',unknown),
[] ).
cnf(59,axiom,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
file('RNG045+1.p',unknown),
[] ).
cnf(61,plain,
sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[59])]),
[iquote('copy,59,flip.1')] ).
cnf(652,plain,
sdtasdt0(xy,xu) = sdtasdt0(xu,xy),
inference(hyper,[status(thm)],[57,24,56]),
[iquote('hyper,57,24,56')] ).
cnf(654,plain,
sdtasdt0(xx,xu) = sdtasdt0(xu,xx),
inference(hyper,[status(thm)],[57,24,55]),
[iquote('hyper,57,24,55')] ).
cnf(768,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xy,xv))) != sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[30]),654,652]),
[iquote('back_demod,30,demod,654,652')] ).
cnf(1105,plain,
sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xv,xy)) = sdtasdt0(sdtpldt0(xu,xv),xy),
inference(hyper,[status(thm)],[58,28,57,56]),
[iquote('hyper,58,28,57,56')] ).
cnf(1107,plain,
sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xv,xx)) = sdtasdt0(sdtpldt0(xu,xv),xx),
inference(hyper,[status(thm)],[58,28,57,55]),
[iquote('hyper,58,28,57,55')] ).
cnf(1129,plain,
sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xu,xy)) = sdtasdt0(sdtpldt0(xv,xu),xy),
inference(hyper,[status(thm)],[58,28,57,56]),
[iquote('hyper,58,28,57,56')] ).
cnf(1131,plain,
sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xu,xx)) = sdtasdt0(sdtpldt0(xv,xu),xx),
inference(hyper,[status(thm)],[58,28,57,55]),
[iquote('hyper,58,28,57,55')] ).
cnf(1182,plain,
sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xu,xy)) = sdtasdt0(xy,sdtpldt0(xv,xu)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[58,26,56,57]),652]),
[iquote('hyper,58,26,56,57,demod,652')] ).
cnf(1188,plain,
sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xu,xx)) = sdtasdt0(xx,sdtpldt0(xv,xu)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[58,26,55,57]),654]),
[iquote('hyper,58,26,55,57,demod,654')] ).
cnf(1227,plain,
sdtasdt0(xy,xv) = sdtasdt0(xv,xy),
inference(hyper,[status(thm)],[58,24,56]),
[iquote('hyper,58,24,56')] ).
cnf(1229,plain,
sdtasdt0(xx,xv) = sdtasdt0(xv,xx),
inference(hyper,[status(thm)],[58,24,55]),
[iquote('hyper,58,24,55')] ).
cnf(1301,plain,
sdtpldt0(xv,xu) = sdtpldt0(xu,xv),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[58,21,57])]),
[iquote('hyper,58,21,57,flip.1')] ).
cnf(1401,plain,
sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xx),sdtasdt0(sdtpldt0(xu,xv),xy)) != sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[768]),1229,1107,1227,1105]),
[iquote('back_demod,768,demod,1229,1107,1227,1105')] ).
cnf(1425,plain,
sdtasdt0(sdtpldt0(xu,xv),xy) = sdtasdt0(xy,sdtpldt0(xu,xv)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1182]),1227,1129,1301,1301]),
[iquote('back_demod,1182,demod,1227,1129,1301,1301')] ).
cnf(1441,plain,
sdtasdt0(sdtpldt0(xu,xv),xx) = sdtasdt0(xx,sdtpldt0(xu,xv)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1188]),1229,1131,1301,1301]),
[iquote('back_demod,1188,demod,1229,1131,1301,1301')] ).
cnf(1576,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1401]),1441,1425,61]),
[iquote('back_demod,1401,demod,1441,1425,61')] ).
cnf(1577,plain,
$false,
inference(binary,[status(thm)],[1576,52]),
[iquote('binary,1576.1,52.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 02:22:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/2.01 ----- Otter 3.3f, August 2004 -----
% 1.77/2.01 The process was started by sandbox2 on n027.cluster.edu,
% 1.77/2.01 Wed Jul 27 02:22:21 2022
% 1.77/2.01 The command was "./otter". The process ID is 20143.
% 1.77/2.01
% 1.77/2.01 set(prolog_style_variables).
% 1.77/2.01 set(auto).
% 1.77/2.01 dependent: set(auto1).
% 1.77/2.01 dependent: set(process_input).
% 1.77/2.01 dependent: clear(print_kept).
% 1.77/2.01 dependent: clear(print_new_demod).
% 1.77/2.01 dependent: clear(print_back_demod).
% 1.77/2.01 dependent: clear(print_back_sub).
% 1.77/2.01 dependent: set(control_memory).
% 1.77/2.01 dependent: assign(max_mem, 12000).
% 1.77/2.01 dependent: assign(pick_given_ratio, 4).
% 1.77/2.01 dependent: assign(stats_level, 1).
% 1.77/2.01 dependent: assign(max_seconds, 10800).
% 1.77/2.01 clear(print_given).
% 1.77/2.01
% 1.77/2.01 formula_list(usable).
% 1.77/2.01 all A (A=A).
% 1.77/2.01 all W0 (aNaturalNumber0(W0)->$T).
% 1.77/2.01 aNaturalNumber0(sz00).
% 1.77/2.01 all W0 (aNaturalNumber0(W0)->aNaturalNumber0(szszuzczcdt0(W0))&szszuzczcdt0(W0)!=sz00).
% 1.77/2.01 all W0 (aNaturalNumber0(W0)&W0!=sz00-> (exists W1 (aNaturalNumber0(W1)&W0=szszuzczcdt0(W1)))).
% 1.77/2.01 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (szszuzczcdt0(W0)=szszuzczcdt0(W1)->W0=W1)).
% 1.77/2.01 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 1.77/2.01 all W0 (aNaturalNumber0(W0)->iLess0(W0,szszuzczcdt0(W0))).
% 1.77/2.01 all W0 (aScalar0(W0)->$T).
% 1.77/2.01 aScalar0(sz0z00).
% 1.77/2.01 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtpldt0(W0,W1))).
% 1.77/2.01 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtasdt0(W0,W1))).
% 1.77/2.01 all W0 (aScalar0(W0)->aScalar0(smndt0(W0))).
% 1.77/2.01 all W0 (aScalar0(W0)->sdtpldt0(W0,sz0z00)=W0&sdtpldt0(sz0z00,W0)=W0&sdtasdt0(W0,sz0z00)=sz0z00&sdtasdt0(sz0z00,W0)=sz0z00&sdtpldt0(W0,smndt0(W0))=sz0z00&sdtpldt0(smndt0(W0),W0)=sz0z00&smndt0(smndt0(W0))=W0&smndt0(sz0z00)=sz0z00).
% 1.77/2.01 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0)&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 1.77/2.01 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))).
% 1.77/2.01 aScalar0(xx).
% 1.77/2.01 aScalar0(xy).
% 1.77/2.01 aScalar0(xu).
% 1.77/2.01 aScalar0(xv).
% 1.77/2.01 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))).
% 1.77/2.01 sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))!=sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))).
% 1.77/2.01 end_of_list.
% 1.77/2.01
% 1.77/2.01 -------> usable clausifies to:
% 1.77/2.01
% 1.77/2.01 list(usable).
% 1.77/2.01 0 [] A=A.
% 1.77/2.01 0 [] -aNaturalNumber0(W0)|$T.
% 1.77/2.01 0 [] aNaturalNumber0(sz00).
% 1.77/2.01 0 [] -aNaturalNumber0(W0)|aNaturalNumber0(szszuzczcdt0(W0)).
% 1.77/2.01 0 [] -aNaturalNumber0(W0)|szszuzczcdt0(W0)!=sz00.
% 1.77/2.01 0 [] -aNaturalNumber0(W0)|W0=sz00|aNaturalNumber0($f1(W0)).
% 1.77/2.01 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=szszuzczcdt0($f1(W0)).
% 1.77/2.01 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|szszuzczcdt0(W0)!=szszuzczcdt0(W1)|W0=W1.
% 1.77/2.01 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 1.77/2.01 0 [] -aNaturalNumber0(W0)|iLess0(W0,szszuzczcdt0(W0)).
% 1.77/2.01 0 [] -aScalar0(W0)|$T.
% 1.77/2.01 0 [] aScalar0(sz0z00).
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtpldt0(W0,W1)).
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtasdt0(W0,W1)).
% 1.77/2.01 0 [] -aScalar0(W0)|aScalar0(smndt0(W0)).
% 1.77/2.01 0 [] -aScalar0(W0)|sdtpldt0(W0,sz0z00)=W0.
% 1.77/2.01 0 [] -aScalar0(W0)|sdtpldt0(sz0z00,W0)=W0.
% 1.77/2.01 0 [] -aScalar0(W0)|sdtasdt0(W0,sz0z00)=sz0z00.
% 1.77/2.01 0 [] -aScalar0(W0)|sdtasdt0(sz0z00,W0)=sz0z00.
% 1.77/2.01 0 [] -aScalar0(W0)|sdtpldt0(W0,smndt0(W0))=sz0z00.
% 1.77/2.01 0 [] -aScalar0(W0)|sdtpldt0(smndt0(W0),W0)=sz0z00.
% 1.77/2.01 0 [] -aScalar0(W0)|smndt0(smndt0(W0))=W0.
% 1.77/2.01 0 [] -aScalar0(W0)|smndt0(sz0z00)=sz0z00.
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 1.77/2.01 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)).
% 1.77/2.01 0 [] aScalar0(xx).
% 1.77/2.01 0 [] aScalar0(xy).
% 1.77/2.01 0 [] aScalar0(xu).
% 1.77/2.01 0 [] aScalar0(xv).
% 1.77/2.01 0 [] sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))=sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))).
% 1.77/2.01 0 [] sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))!=sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))).
% 1.77/2.01 end_of_list.
% 1.77/2.01
% 1.77/2.01 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.77/2.01
% 1.77/2.01 This ia a non-Horn set with equality. The strategy will be
% 1.77/2.01 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.77/2.01 deletion, with positive clauses in sos and nonpositive
% 1.77/2.01 clauses in usable.
% 1.77/2.01
% 1.77/2.01 dependent: set(knuth_bendix).
% 1.77/2.01 dependent: set(anl_eq).
% 1.77/2.01 dependent: set(para_from).
% 1.77/2.01 dependent: set(para_into).
% 1.77/2.01 dependent: clear(para_from_right).
% 1.77/2.01 dependent: clear(para_into_right).
% 1.77/2.01 dependent: set(para_from_vars).
% 1.77/2.01 dependent: set(eq_units_both_ways).
% 1.77/2.01 dependent: set(dynamic_demod_all).
% 1.77/2.01 dependent: set(dynamic_demod).
% 1.77/2.01 dependent: set(order_eq).
% 1.77/2.01 dependent: set(back_demod).
% 1.77/2.01 dependent: set(lrpo).
% 1.77/2.01 dependent: set(hyper_res).
% 1.77/2.01 dependent: set(unit_deletion).
% 1.77/2.01 dependent: set(factor).
% 1.77/2.01
% 1.77/2.01 ------------> process usable:
% 1.77/2.01 ** KEPT (pick-wt=5): 1 [] -aNaturalNumber0(A)|aNaturalNumber0(szszuzczcdt0(A)).
% 1.77/2.01 ** KEPT (pick-wt=6): 2 [] -aNaturalNumber0(A)|szszuzczcdt0(A)!=sz00.
% 1.77/2.01 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)|A=sz00|aNaturalNumber0($f1(A)).
% 1.77/2.01 ** KEPT (pick-wt=10): 5 [copy,4,flip.3] -aNaturalNumber0(A)|A=sz00|szszuzczcdt0($f1(A))=A.
% 1.77/2.01 ** KEPT (pick-wt=12): 6 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|szszuzczcdt0(A)!=szszuzczcdt0(B)|A=B.
% 1.77/2.01 ** KEPT (pick-wt=6): 7 [] -aNaturalNumber0(A)|iLess0(A,szszuzczcdt0(A)).
% 1.77/2.01 ** KEPT (pick-wt=8): 8 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtpldt0(A,B)).
% 1.77/2.01 ** KEPT (pick-wt=8): 9 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtasdt0(A,B)).
% 1.77/2.01 ** KEPT (pick-wt=5): 10 [] -aScalar0(A)|aScalar0(smndt0(A)).
% 1.77/2.01 ** KEPT (pick-wt=7): 11 [] -aScalar0(A)|sdtpldt0(A,sz0z00)=A.
% 1.77/2.01 ** KEPT (pick-wt=7): 12 [] -aScalar0(A)|sdtpldt0(sz0z00,A)=A.
% 1.77/2.01 ** KEPT (pick-wt=7): 13 [] -aScalar0(A)|sdtasdt0(A,sz0z00)=sz0z00.
% 1.77/2.01 ** KEPT (pick-wt=7): 14 [] -aScalar0(A)|sdtasdt0(sz0z00,A)=sz0z00.
% 1.77/2.01 ** KEPT (pick-wt=8): 15 [] -aScalar0(A)|sdtpldt0(A,smndt0(A))=sz0z00.
% 1.77/2.01 ** KEPT (pick-wt=8): 16 [] -aScalar0(A)|sdtpldt0(smndt0(A),A)=sz0z00.
% 1.77/2.01 ** KEPT (pick-wt=7): 17 [] -aScalar0(A)|smndt0(smndt0(A))=A.
% 1.77/2.01 ** KEPT (pick-wt=6): 18 [] -aScalar0(A)|smndt0(sz0z00)=sz0z00.
% 1.77/2.01 ** KEPT (pick-wt=17): 19 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 1.77/2.01 ** KEPT (pick-wt=11): 21 [copy,20,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 1.77/2.01 ** KEPT (pick-wt=17): 22 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 1.77/2.01 ** KEPT (pick-wt=11): 24 [copy,23,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 1.77/2.01 ** KEPT (pick-wt=19): 26 [copy,25,flip.4] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 1.77/2.01 ** KEPT (pick-wt=19): 28 [copy,27,flip.4] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtasdt0(A,C),sdtasdt0(B,C))=sdtasdt0(sdtpldt0(A,B),C).
% 1.77/2.01 ** KEPT (pick-wt=23): 30 [copy,29,flip.1] sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))!=sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)).
% 1.77/2.01
% 1.77/2.01 ------------> process sos:
% 1.77/2.01 ** KEPT (pick-wt=3): 52 [] A=A.
% 1.77/2.01 ** KEPT (pick-wt=2): 53 [] aNaturalNumber0(sz00).
% 1.77/2.01 ** KEPT (pick-wt=2): 54 [] aScalar0(sz0z00).
% 1.77/2.01 ** KEPT (pick-wt=2): 55 [] aScalar0(xx).
% 1.77/2.01 ** KEPT (pick-wt=2): 56 [] aScalar0(xy).
% 1.77/2.01 ** KEPT (pick-wt=2): 57 [] aScalar0(xu).
% 1.77/2.01 ** KEPT (pick-wt=2): 58 [] aScalar0(xv).
% 1.77/2.01 ** KEPT (pick-wt=19): 60 [copy,59,flip.1] sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))=sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)).
% 1.77/2.01 ---> New Demodulator: 61 [new_demod,60] sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))=sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)).
% 1.77/2.01 Following clause subsumed by 52 during input processing: 0 [copy,52,flip.1] A=A.
% 1.77/2.01 52 back subsumes 41.
% 1.77/2.01 52 back subsumes 37.
% 1.77/2.01 52 back subsumes 31.
% 1.77/2.01 >>>> Starting back demodulation with 61.
% 1.77/2.04
% 1.77/2.04 ======= end of input processing =======
% 1.77/2.04
% 1.77/2.04 =========== start of search ===========
% 1.77/2.04
% 1.77/2.04 -------- PROOF --------
% 1.77/2.04
% 1.77/2.04 ----> UNIT CONFLICT at 0.03 sec ----> 1577 [binary,1576.1,52.1] $F.
% 1.77/2.04
% 1.77/2.04 Length of proof is 22. Level of proof is 5.
% 1.77/2.04
% 1.77/2.04 ---------------- PROOF ----------------
% 1.77/2.04 % SZS status Theorem
% 1.77/2.04 % SZS output start Refutation
% See solution above
% 1.77/2.04 ------------ end of proof -------------
% 1.77/2.04
% 1.77/2.04
% 1.77/2.04 Search stopped by max_proofs option.
% 1.77/2.04
% 1.77/2.04
% 1.77/2.04 Search stopped by max_proofs option.
% 1.77/2.04
% 1.77/2.04 ============ end of search ============
% 1.77/2.04
% 1.77/2.04 -------------- statistics -------------
% 1.77/2.04 clauses given 7
% 1.77/2.04 clauses generated 1265
% 1.77/2.04 clauses kept 832
% 1.77/2.04 clauses forward subsumed 860
% 1.77/2.04 clauses back subsumed 3
% 1.77/2.04 Kbytes malloced 1953
% 1.77/2.04
% 1.77/2.04 ----------- times (seconds) -----------
% 1.77/2.04 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 1.77/2.04 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/2.04 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.77/2.04
% 1.77/2.04 That finishes the proof of the theorem.
% 1.77/2.04
% 1.77/2.04 Process 20143 finished Wed Jul 27 02:22:23 2022
% 1.77/2.04 Otter interrupted
% 1.77/2.04 PROOF FOUND
%------------------------------------------------------------------------------