TSTP Solution File: PUZ039-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : PUZ039-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 : Mon Jul 18 18:23:55 EDT 2022
% Result : Unsatisfiable 1.57s 1.84s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ039-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n026.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 : 600
% 0.12/0.34 % DateTime : Sat May 28 23:36:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.57/1.84 ============================== Prover9 ===============================
% 1.57/1.84 Prover9 (32) version 2009-11A, November 2009.
% 1.57/1.84 Process 29226 was started by sandbox on n026.cluster.edu,
% 1.57/1.84 Sat May 28 23:36:54 2022
% 1.57/1.84 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_29073_n026.cluster.edu".
% 1.57/1.84 ============================== end of head ===========================
% 1.57/1.84
% 1.57/1.84 ============================== INPUT =================================
% 1.57/1.84
% 1.57/1.84 % Reading from file /tmp/Prover9_29073_n026.cluster.edu
% 1.57/1.84
% 1.57/1.84 set(prolog_style_variables).
% 1.57/1.84 set(auto2).
% 1.57/1.84 % set(auto2) -> set(auto).
% 1.57/1.84 % set(auto) -> set(auto_inference).
% 1.57/1.84 % set(auto) -> set(auto_setup).
% 1.57/1.84 % set(auto_setup) -> set(predicate_elim).
% 1.57/1.84 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.57/1.84 % set(auto) -> set(auto_limits).
% 1.57/1.84 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.57/1.84 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.57/1.84 % set(auto) -> set(auto_denials).
% 1.57/1.84 % set(auto) -> set(auto_process).
% 1.57/1.84 % set(auto2) -> assign(new_constants, 1).
% 1.57/1.84 % set(auto2) -> assign(fold_denial_max, 3).
% 1.57/1.84 % set(auto2) -> assign(max_weight, "200.000").
% 1.57/1.84 % set(auto2) -> assign(max_hours, 1).
% 1.57/1.84 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.57/1.84 % set(auto2) -> assign(max_seconds, 0).
% 1.57/1.84 % set(auto2) -> assign(max_minutes, 5).
% 1.57/1.84 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.57/1.84 % set(auto2) -> set(sort_initial_sos).
% 1.57/1.84 % set(auto2) -> assign(sos_limit, -1).
% 1.57/1.84 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.57/1.84 % set(auto2) -> assign(max_megs, 400).
% 1.57/1.84 % set(auto2) -> assign(stats, some).
% 1.57/1.84 % set(auto2) -> clear(echo_input).
% 1.57/1.84 % set(auto2) -> set(quiet).
% 1.57/1.84 % set(auto2) -> clear(print_initial_clauses).
% 1.57/1.84 % set(auto2) -> clear(print_given).
% 1.57/1.84 assign(lrs_ticks,-1).
% 1.57/1.84 assign(sos_limit,10000).
% 1.57/1.84 assign(order,kbo).
% 1.57/1.84 set(lex_order_vars).
% 1.57/1.84 clear(print_given).
% 1.57/1.84
% 1.57/1.84 % formulas(sos). % not echoed (43 formulas)
% 1.57/1.84
% 1.57/1.84 ============================== end of input ==========================
% 1.57/1.84
% 1.57/1.84 % From the command line: assign(max_seconds, 300).
% 1.57/1.84
% 1.57/1.84 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.57/1.84
% 1.57/1.84 % Formulas that are not ordinary clauses:
% 1.57/1.84
% 1.57/1.84 ============================== end of process non-clausal formulas ===
% 1.57/1.84
% 1.57/1.84 ============================== PROCESS INITIAL CLAUSES ===============
% 1.57/1.84
% 1.57/1.84 ============================== PREDICATE ELIMINATION =================
% 1.57/1.84
% 1.57/1.84 ============================== end predicate elimination =============
% 1.57/1.84
% 1.57/1.84 Auto_denials:
% 1.57/1.84 % copying label goal_state to answer in negative clause
% 1.57/1.84
% 1.57/1.84 Term ordering decisions:
% 1.57/1.84
% 1.57/1.84 % Assigning unary symbol s kb_weight 0 and highest precedence (15).
% 1.57/1.84 Function symbol KB weights: o=1. e1=1. e2=1. bb=1. h=1. s1=1. s2=1. s3=1. s4=1. v1=1. v2=1. v3=1. v4=1. s=0.
% 1.57/1.84
% 1.57/1.84 ============================== end of process initial clauses ========
% 1.57/1.84
% 1.57/1.84 ============================== CLAUSES FOR SEARCH ====================
% 1.57/1.84
% 1.57/1.84 ============================== end of clauses for search =============
% 1.57/1.84
% 1.57/1.84 ============================== SEARCH ================================
% 1.57/1.84
% 1.57/1.84 % Starting search at 0.02 seconds.
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=55.000, iters=3675
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=53.000, iters=3601
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=51.000, iters=3523
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=50.000, iters=3469
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=47.000, iters=3335
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=45.000, iters=3357
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=44.000, iters=3340
% 1.57/1.84
% 1.57/1.84 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1395 (0.00 of 0.48 sec).
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=43.000, iters=3345
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=42.000, iters=3341
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=41.000, iters=3358
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=40.000, iters=3342
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=39.000, iters=3434
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=38.000, iters=3334
% 1.57/1.84
% 1.57/1.84 Low Water (keep): wt=37.000, iters=3337
% 1.57/1.84
% 1.57/1.84 ============================== PROOF =================================
% 1.57/1.84 % SZS status Unsatisfiable
% 1.57/1.84 % SZS output start Refutation
% 1.57/1.84
% 1.57/1.84 % Proof 1 at 0.82 (+ 0.02) seconds: goal_state.
% 1.57/1.84 % Length of proof is 48.
% 1.57/1.84 % Level of proof is 26.
% 1.57/1.84 % Maximum clause weight is 82.000.
% 1.57/1.84 % Given clauses 1321.
% 1.57/1.84
% 1.57/1.84 1 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))) # label(initial_state) # label(hypothesis). [assumption].
% 1.57/1.84 2 -state(A,B,C,D,v4(s(s(o)),s(s(o))),E,F,V6,V7,V8,V9,V10) # label(goal_state) # label(negated_conjecture) # answer(goal_state). [assumption].
% 1.57/1.84 3 -state(A,B,C,D,E,F,V6,V7,V8,V9,e1(V10,V11),e2(V12,V13)) | state(A,B,C,D,E,F,V6,V7,V8,V9,e1(V12,V13),e2(V10,V11)) # label(swap_blanks) # label(axiom). [assumption].
% 1.57/1.84 5 -state(A,B,C,D,E,F,s1(V6,s(V7)),V8,V9,V10,e1(V6,V7),V11) | state(A,B,C,D,E,F,s1(V6,V7),V8,V9,V10,e1(V6,s(V7)),V11) # label(s1_left) # label(axiom). [assumption].
% 1.57/1.84 6 -state(A,B,C,D,E,F,s1(V6,V7),V8,V9,V10,e1(s(V6),V7),V11) | state(A,B,C,D,E,F,s1(s(V6),V7),V8,V9,V10,e1(V6,V7),V11) # label(s1_down) # label(axiom). [assumption].
% 1.57/1.84 7 -state(A,B,C,D,E,F,s1(s(V6),V7),V8,V9,V10,e1(V6,V7),V11) | state(A,B,C,D,E,F,s1(V6,V7),V8,V9,V10,e1(s(V6),V7),V11) # label(s1_up) # label(axiom). [assumption].
% 1.57/1.84 10 -state(A,B,C,D,E,F,V6,s2(V7,V8),V9,V10,e1(s(V7),V8),V11) | state(A,B,C,D,E,F,V6,s2(s(V7),V8),V9,V10,e1(V7,V8),V11) # label(s2_down) # label(axiom). [assumption].
% 1.57/1.84 13 -state(A,B,C,D,E,F,V6,V7,s3(V8,s(V9)),V10,e1(V8,V9),V11) | state(A,B,C,D,E,F,V6,V7,s3(V8,V9),V10,e1(V8,s(V9)),V11) # label(s3_left) # label(axiom). [assumption].
% 1.57/1.84 14 -state(A,B,C,D,E,F,V6,V7,s3(V8,V9),V10,e1(s(V8),V9),V11) | state(A,B,C,D,E,F,V6,V7,s3(s(V8),V9),V10,e1(V8,V9),V11) # label(s3_down) # label(axiom). [assumption].
% 1.57/1.84 15 -state(A,B,C,D,E,F,V6,V7,s3(s(V8),V9),V10,e1(V8,V9),V11) | state(A,B,C,D,E,F,V6,V7,s3(V8,V9),V10,e1(s(V8),V9),V11) # label(s3_up) # label(axiom). [assumption].
% 1.57/1.84 16 -state(A,B,C,D,E,F,V6,V7,V8,s4(V9,V10),e1(V9,s(V10)),V11) | state(A,B,C,D,E,F,V6,V7,V8,s4(V9,s(V10)),e1(V9,V10),V11) # label(s4_right) # label(axiom). [assumption].
% 1.57/1.84 20 -state(A,v1(B,C),D,E,F,V6,V7,V8,V9,V10,e1(s(s(B)),C),V11) | state(A,v1(s(B),C),D,E,F,V6,V7,V8,V9,V10,e1(B,C),V11) # label(v1_down) # label(axiom). [assumption].
% 1.57/1.84 21 -state(A,v1(s(B),C),D,E,F,V6,V7,V8,V9,V10,e1(B,C),V11) | state(A,v1(B,C),D,E,F,V6,V7,V8,V9,V10,e1(s(s(B)),C),V11) # label(v1_up) # label(axiom). [assumption].
% 1.57/1.84 24 -state(A,B,C,v3(D,E),F,V6,V7,V8,V9,V10,e1(s(s(D)),E),V11) | state(A,B,C,v3(s(D),E),F,V6,V7,V8,V9,V10,e1(D,E),V11) # label(v3_down) # label(axiom). [assumption].
% 1.57/1.84 26 -state(A,B,C,D,v4(E,F),V6,V7,V8,V9,V10,e1(s(s(E)),F),V11) | state(A,B,C,D,v4(s(E),F),V6,V7,V8,V9,V10,e1(E,F),V11) # label(v4_down) # label(axiom). [assumption].
% 1.57/1.84 27 -state(A,B,C,D,v4(s(E),F),V6,V7,V8,V9,V10,e1(E,F),V11) | state(A,B,C,D,v4(E,F),V6,V7,V8,V9,V10,e1(s(s(E)),F),V11) # label(v4_up) # label(axiom). [assumption].
% 1.57/1.84 28 -state(A,B,C,D,E,h(F,V6),V7,V8,V9,V10,e1(F,s(s(V6))),V11) | state(A,B,C,D,E,h(F,s(V6)),V7,V8,V9,V10,e1(F,V6),V11) # label(h_right) # label(axiom). [assumption].
% 1.57/1.84 29 -state(A,B,C,D,E,h(F,s(V6)),V7,V8,V9,V10,e1(F,V6),V11) | state(A,B,C,D,E,h(F,V6),V7,V8,V9,V10,e1(F,s(s(V6))),V11) # label(h_left) # label(axiom). [assumption].
% 1.57/1.84 34 -state(A,B,C,v3(D,E),F,V6,V7,V8,V9,V10,e1(D,s(E)),e2(s(D),s(E))) | state(A,B,C,v3(D,s(E)),F,V6,V7,V8,V9,V10,e1(D,E),e2(s(D),E)) # label(v3_right) # label(axiom). [assumption].
% 1.57/1.84 37 -state(A,B,C,D,v4(E,s(F)),V6,V7,V8,V9,V10,e1(E,F),e2(s(E),F)) | state(A,B,C,D,v4(E,F),V6,V7,V8,V9,V10,e1(E,s(F)),e2(s(E),s(F))) # label(v4_left) # label(axiom). [assumption].
% 1.57/1.84 46 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))). [ur(24,a,1,a)].
% 1.57/1.84 50 -state(A,B,C,D,v4(s(s(o)),s(s(s(o)))),E,F,V6,V7,V8,e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))) # answer(goal_state). [resolve(37,b,2,a)].
% 1.57/1.84 154 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))). [ur(20,a,46,a)].
% 1.57/1.84 156 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)). [ur(3,a,154,a)].
% 1.57/1.84 157 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)). [ur(26,a,156,a)].
% 1.57/1.84 159 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)). [ur(28,a,157,a)].
% 1.57/1.84 270 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)). [ur(7,a,159,a)].
% 1.57/1.84 273 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)). [ur(15,a,270,a)].
% 1.57/1.84 402 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(o))). [ur(3,a,273,a)].
% 1.57/1.84 414 -state(A,B,C,D,v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),E,F,V6,V7,e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))) # answer(goal_state). [resolve(50,a,29,b)].
% 1.57/1.84 510 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))). [ur(21,a,402,a)].
% 1.57/1.84 1133 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))). [ur(5,a,510,a)].
% 1.57/1.84 1553 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))). [ur(15,a,1133,a)].
% 1.57/1.84 2146 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)). [ur(34,a,1553,a)].
% 1.57/1.84 2149 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)). [ur(6,a,2146,a)].
% 1.57/1.84 2152 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)). [ur(13,a,2149,a)].
% 1.57/1.84 2330 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))). [ur(3,a,2152,a)].
% 1.57/1.85 2416 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))). [ur(6,a,2330,a)].
% 1.57/1.85 2511 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(o)),s(o))). [ur(14,a,2416,a)].
% 1.57/1.85 2512 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(o)),s(o))). [ur(20,a,2511,a)].
% 1.57/1.85 2514 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)). [ur(3,a,2512,a)].
% 1.57/1.85 2515 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)). [ur(29,a,2514,a)].
% 1.57/1.85 2644 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)). [ur(27,a,2515,a)].
% 1.57/1.85 4791 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)). [ur(16,a,2644,a)].
% 1.57/1.85 5523 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)). [ur(10,a,4791,a)].
% 1.57/1.85 6080 state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))). [ur(3,a,5523,a)].
% 1.57/1.85 6689 state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))). [ur(21,a,6080,a)].
% 1.57/1.85 6690 $F # answer(goal_state). [resolve(6689,a,414,a)].
% 1.57/1.85
% 1.57/1.85 % SZS output end Refutation
% 1.57/1.85 ============================== end of proof ==========================
% 1.57/1.85
% 1.57/1.85 ============================== STATISTICS ============================
% 1.57/1.85
% 1.57/1.85 Given=1321. Generated=32072. Kept=6689. proofs=1.
% 1.57/1.85 Usable=1321. Sos=5364. Demods=0. Limbo=0, Disabled=46. Hints=0.
% 1.57/1.85 Megabytes=10.44.
% 1.57/1.85 User_CPU=0.82, System_CPU=0.02, Wall_clock=1.
% 1.57/1.85
% 1.57/1.85 ============================== end of statistics =====================
% 1.57/1.85
% 1.57/1.85 ============================== end of search =========================
% 1.57/1.85
% 1.57/1.85 THEOREM PROVED
% 1.57/1.85 % SZS status Unsatisfiable
% 1.57/1.85
% 1.57/1.85 Exiting with 1 proof.
% 1.57/1.85
% 1.57/1.85 Process 29226 exit (max_proofs) Sat May 28 23:36:55 2022
% 1.57/1.85 Prover9 interrupted
%------------------------------------------------------------------------------