TSTP Solution File: SWW448-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWW448-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 : Thu Jul 21 01:17:02 EDT 2022
% Result : Unsatisfiable 9.43s 9.74s
% Output : Refutation 9.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW448-1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 4 19:16:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 9.43/9.74 ============================== Prover9 ===============================
% 9.43/9.74 Prover9 (32) version 2009-11A, November 2009.
% 9.43/9.74 Process 4951 was started by sandbox2 on n021.cluster.edu,
% 9.43/9.74 Sat Jun 4 19:16:49 2022
% 9.43/9.74 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_4798_n021.cluster.edu".
% 9.43/9.74 ============================== end of head ===========================
% 9.43/9.74
% 9.43/9.74 ============================== INPUT =================================
% 9.43/9.74
% 9.43/9.74 % Reading from file /tmp/Prover9_4798_n021.cluster.edu
% 9.43/9.74
% 9.43/9.74 set(prolog_style_variables).
% 9.43/9.74 set(auto2).
% 9.43/9.74 % set(auto2) -> set(auto).
% 9.43/9.74 % set(auto) -> set(auto_inference).
% 9.43/9.74 % set(auto) -> set(auto_setup).
% 9.43/9.74 % set(auto_setup) -> set(predicate_elim).
% 9.43/9.74 % set(auto_setup) -> assign(eq_defs, unfold).
% 9.43/9.74 % set(auto) -> set(auto_limits).
% 9.43/9.74 % set(auto_limits) -> assign(max_weight, "100.000").
% 9.43/9.74 % set(auto_limits) -> assign(sos_limit, 20000).
% 9.43/9.74 % set(auto) -> set(auto_denials).
% 9.43/9.74 % set(auto) -> set(auto_process).
% 9.43/9.74 % set(auto2) -> assign(new_constants, 1).
% 9.43/9.74 % set(auto2) -> assign(fold_denial_max, 3).
% 9.43/9.74 % set(auto2) -> assign(max_weight, "200.000").
% 9.43/9.74 % set(auto2) -> assign(max_hours, 1).
% 9.43/9.74 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 9.43/9.74 % set(auto2) -> assign(max_seconds, 0).
% 9.43/9.74 % set(auto2) -> assign(max_minutes, 5).
% 9.43/9.74 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 9.43/9.74 % set(auto2) -> set(sort_initial_sos).
% 9.43/9.74 % set(auto2) -> assign(sos_limit, -1).
% 9.43/9.74 % set(auto2) -> assign(lrs_ticks, 3000).
% 9.43/9.74 % set(auto2) -> assign(max_megs, 400).
% 9.43/9.74 % set(auto2) -> assign(stats, some).
% 9.43/9.74 % set(auto2) -> clear(echo_input).
% 9.43/9.74 % set(auto2) -> set(quiet).
% 9.43/9.74 % set(auto2) -> clear(print_initial_clauses).
% 9.43/9.74 % set(auto2) -> clear(print_given).
% 9.43/9.74 assign(lrs_ticks,-1).
% 9.43/9.74 assign(sos_limit,10000).
% 9.43/9.74 assign(order,kbo).
% 9.43/9.74 set(lex_order_vars).
% 9.43/9.74 clear(print_given).
% 9.43/9.74
% 9.43/9.74 % formulas(sos). % not echoed (13 formulas)
% 9.43/9.74
% 9.43/9.74 ============================== end of input ==========================
% 9.43/9.74
% 9.43/9.74 % From the command line: assign(max_seconds, 300).
% 9.43/9.74
% 9.43/9.74 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 9.43/9.74
% 9.43/9.74 % Formulas that are not ordinary clauses:
% 9.43/9.74
% 9.43/9.74 ============================== end of process non-clausal formulas ===
% 9.43/9.74
% 9.43/9.74 ============================== PROCESS INITIAL CLAUSES ===============
% 9.43/9.74
% 9.43/9.74 ============================== PREDICATE ELIMINATION =================
% 9.43/9.74
% 9.43/9.74 ============================== end predicate elimination =============
% 9.43/9.74
% 9.43/9.74 Auto_denials: (non-Horn, no changes).
% 9.43/9.74
% 9.43/9.74 Term ordering decisions:
% 9.43/9.74 Function symbol KB weights: nil=1. x7=1. x4=1. x1=1. x10=1. x2=1. x3=1. x5=1. emp=1. x6=1. x8=1. x9=1. sep=1. lseg=1. next=1.
% 9.43/9.74
% 9.43/9.74 ============================== end of process initial clauses ========
% 9.43/9.74
% 9.43/9.74 ============================== CLAUSES FOR SEARCH ====================
% 9.43/9.74
% 9.43/9.74 ============================== end of clauses for search =============
% 9.43/9.74
% 9.43/9.74 ============================== SEARCH ================================
% 9.43/9.74
% 9.43/9.74 % Starting search at 0.01 seconds.
% 9.43/9.74
% 9.43/9.74 Low Water (keep): wt=38.000, iters=3489
% 9.43/9.74
% 9.43/9.74 Low Water (keep): wt=36.000, iters=3339
% 9.43/9.74
% 9.43/9.74 Low Water (keep): wt=34.000, iters=3336
% 9.43/9.74
% 9.43/9.74 Low Water (keep): wt=32.000, iters=3340
% 9.43/9.74
% 9.43/9.74 Low Water (keep): wt=30.000, iters=3336
% 9.43/9.74
% 9.43/9.74 ============================== PROOF =================================
% 9.43/9.74 % SZS status Unsatisfiable
% 9.43/9.74 % SZS output start Refutation
% 9.43/9.74
% 9.43/9.74 % Proof 1 at 8.65 (+ 0.06) seconds.
% 9.43/9.74 % Length of proof is 69.
% 9.43/9.74 % Level of proof is 37.
% 9.43/9.74 % Maximum clause weight is 53.000.
% 9.43/9.74 % Given clauses 2909.
% 9.43/9.74
% 9.43/9.74 1 sep(lseg(A,A),B) = B # label(normalization) # label(axiom). [assumption].
% 9.43/9.74 2 sep(A,sep(B,C)) = sep(B,sep(A,C)) # label(associative_commutative) # label(axiom). [assumption].
% 9.43/9.74 3 heap(sep(next(x5,x10),sep(lseg(x9,x7),sep(next(x2,x7),sep(next(x4,x7),sep(next(x6,x4),sep(next(x7,x3),sep(next(x1,x2),sep(next(x10,x1),sep(next(x8,x4),sep(next(x3,x5),emp))))))))))) # label(premise_1) # label(hypothesis). [assumption].
% 9.43/9.74 4 heap(sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [copy(3),rewrite([2(33),2(37),2(36),2(35),2(34),2(38),2(39),2(38),2(37),2(36),2(41),2(40),2(39),2(38),2(37),2(36),2(35)])].
% 9.43/9.74 6 -heap(sep(next(A,B),sep(next(A,C),D))) # label(wellformedness_3) # label(axiom). [assumption].
% 9.43/9.74 7 -heap(sep(lseg(x3,x5),sep(lseg(x8,x4),sep(lseg(x9,x7),sep(lseg(x6,x7),sep(lseg(x5,x3),emp)))))) # label(conclusion_1) # label(negated_conjecture). [assumption].
% 9.43/9.74 8 -heap(sep(lseg(x3,x5),sep(lseg(x5,x3),sep(lseg(x6,x7),sep(lseg(x8,x4),sep(lseg(x9,x7),emp)))))). [copy(7),rewrite([2(18),2(19),2(18),2(20),2(19)])].
% 9.43/9.74 14 -heap(sep(next(A,B),sep(lseg(B,C),D))) | A = B | heap(sep(lseg(A,C),D)) # label(unfolding_2) # label(axiom). [assumption].
% 9.43/9.74 16 -heap(sep(lseg(A,B),sep(lseg(B,C),sep(lseg(C,D),E)))) | C = D | heap(sep(lseg(A,C),sep(lseg(C,D),E))) # label(unfolding_5) # label(axiom). [assumption].
% 9.43/9.74 19 -heap(sep(A,sep(next(B,C),sep(next(B,D),E)))). [para(2(a,1),6(a,1,2)),rewrite([2(5)])].
% 9.43/9.74 27 -heap(sep(next(A,B),C)) | A = B | heap(sep(lseg(A,B),C)). [para(1(a,1),14(a,1,2))].
% 9.43/9.74 34 -heap(sep(lseg(A,B),sep(lseg(C,D),sep(lseg(B,C),E)))) | C = D | heap(sep(lseg(A,C),sep(lseg(C,D),E))). [para(2(a,1),16(a,1,2))].
% 9.43/9.74 35 -heap(sep(lseg(A,B),sep(lseg(C,A),sep(lseg(B,D),E)))) | B = D | heap(sep(lseg(C,B),sep(lseg(B,D),E))). [para(2(a,1),16(a,1))].
% 9.43/9.74 43 -heap(sep(A,sep(B,sep(next(C,D),sep(next(C,E),F))))). [para(2(a,1),19(a,1,2,2)),rewrite([2(5)])].
% 9.43/9.74 49 -heap(sep(A,sep(B,sep(C,sep(next(D,E),sep(next(D,F),V6)))))). [para(2(a,1),43(a,1,2,2,2)),rewrite([2(5)])].
% 9.43/9.74 61 -heap(sep(A,sep(B,sep(C,sep(D,sep(next(E,F),sep(next(E,V6),V7))))))). [para(2(a,1),49(a,1,2,2,2,2)),rewrite([2(5)])].
% 9.43/9.74 67 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(next(F,V6),sep(next(F,V7),V8)))))))). [para(2(a,1),61(a,1,2,2,2,2,2)),rewrite([2(5)])].
% 9.43/9.74 68 -heap(sep(A,sep(next(B,C),D))) | B = C | heap(sep(A,sep(lseg(B,C),D))). [para(2(a,1),27(a,1)),rewrite([2(8)])].
% 9.43/9.74 78 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(next(V6,V7),sep(next(V6,V8),V9))))))))). [para(2(a,1),67(a,1,2,2,2,2,2,2)),rewrite([2(5)])].
% 9.43/9.74 84 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(next(V7,V8),sep(next(V7,V9),V10)))))))))). [para(2(a,1),78(a,1,2,2,2,2,2,2,2)),rewrite([2(5)])].
% 9.43/9.74 97 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(V7,sep(next(V8,V9),sep(next(V8,V10),V11))))))))))). [para(2(a,1),84(a,1,2,2,2,2,2,2,2,2)),rewrite([2(5)])].
% 9.43/9.74 107 x3 = x7 | heap(sep(lseg(x7,x3),sep(lseg(x9,x7),sep(next(x4,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [resolve(68,a,4,a),rewrite([2(44)]),flip(a)].
% 9.43/9.74 108 -heap(sep(A,sep(B,sep(next(C,D),E)))) | C = D | heap(sep(A,sep(B,sep(lseg(C,D),E)))). [para(2(a,1),68(a,1,2)),rewrite([2(9)])].
% 9.43/9.74 203 -heap(sep(A,sep(B,sep(C,sep(next(D,E),F))))) | D = E | heap(sep(A,sep(B,sep(C,sep(lseg(D,E),F))))). [para(2(a,1),108(a,1,2,2)),rewrite([2(10)])].
% 9.43/9.74 208 -heap(sep(lseg(A,B),sep(lseg(C,D),sep(lseg(D,A),E)))) | A = B | heap(sep(lseg(C,A),sep(lseg(A,B),E))). [para(2(a,1),34(a,1))].
% 9.43/9.74 244 -heap(sep(lseg(A,B),sep(lseg(B,C),sep(lseg(D,A),E)))) | B = C | heap(sep(lseg(D,B),sep(lseg(B,C),E))). [para(2(a,1),35(a,1,2))].
% 9.43/9.74 302 x3 = x7 | x4 = x7 | heap(sep(lseg(x7,x3),sep(lseg(x4,x7),sep(lseg(x9,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [resolve(107,b,108,a),rewrite([2(46)])].
% 9.43/9.74 332 x2 = x1 | heap(sep(lseg(x1,x2),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [resolve(203,a,4,a),rewrite([2(42),2(43),2(44)]),flip(a)].
% 9.43/9.74 333 -heap(sep(A,sep(B,sep(C,sep(D,sep(next(E,F),V6)))))) | E = F | heap(sep(A,sep(B,sep(C,sep(D,sep(lseg(E,F),V6)))))). [para(2(a,1),203(a,1,2,2,2)),rewrite([2(11)])].
% 9.43/9.74 371 -heap(sep(lseg(A,B),sep(lseg(C,A),sep(lseg(D,C),E)))) | A = B | heap(sep(lseg(D,A),sep(lseg(A,B),E))). [para(2(a,1),208(a,1,2))].
% 9.43/9.74 565 x10 = x1 | heap(sep(lseg(x10,x1),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x1,x2),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [resolve(333,a,4,a),rewrite([2(41),2(42),2(43),2(44)])].
% 9.43/9.74 566 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(next(F,V6),V7))))))) | F = V6 | heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(lseg(F,V6),V7))))))). [para(2(a,1),333(a,1,2,2,2,2)),rewrite([2(12)])].
% 9.43/9.74 839 x2 = x7 | heap(sep(lseg(x2,x7),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x3,x5),sep(next(x5,x10),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [resolve(566,a,4,a),rewrite([2(40),2(41),2(42),2(43),2(44)])].
% 9.43/9.74 840 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(next(V6,V7),V8)))))))) | V6 = V7 | heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(lseg(V6,V7),V8)))))))). [para(2(a,1),566(a,1,2,2,2,2,2)),rewrite([2(13)])].
% 9.43/9.74 1332 x5 = x3 | heap(sep(lseg(x3,x5),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x5,x10),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [resolve(840,a,4,a),rewrite([2(39),2(40),2(41),2(42),2(43),2(44)]),flip(a)].
% 9.43/9.74 1333 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(next(V7,V8),V9))))))))) | V7 = V8 | heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(lseg(V7,V8),V9))))))))). [para(2(a,1),840(a,1,2,2,2,2,2,2)),rewrite([2(14)])].
% 9.43/9.74 1660 x5 = x10 | heap(sep(lseg(x5,x10),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x6,x4),sep(next(x8,x4),emp))))))))))). [resolve(1333,a,4,a),rewrite([2(38),2(39),2(40),2(41),2(42),2(43),2(44)])].
% 9.43/9.74 1661 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(V7,sep(next(V8,V9),V10)))))))))) | V8 = V9 | heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(V7,sep(lseg(V8,V9),V10)))))))))). [para(2(a,1),1333(a,1,2,2,2,2,2,2,2)),rewrite([2(15)])].
% 9.43/9.74 2109 x6 = x4 | heap(sep(lseg(x7,x3),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x9,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x8,x4),emp))))))))))) | x3 = x7 | x4 = x7. [resolve(1661,a,302,c),rewrite([2(37),2(38),2(39),2(40),2(41),2(42)])].
% 9.43/9.74 2112 x6 = x4 | heap(sep(lseg(x6,x4),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x8,x4),emp))))))))))). [resolve(1661,a,4,a),rewrite([2(37),2(38),2(39),2(40),2(41),2(42),2(43),2(44)])].
% 9.43/9.74 2113 -heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(V7,sep(V8,sep(next(V9,V10),V11))))))))))) | V9 = V10 | heap(sep(A,sep(B,sep(C,sep(D,sep(E,sep(F,sep(V6,sep(V7,sep(V8,sep(lseg(V9,V10),V11))))))))))). [para(2(a,1),1661(a,1,2,2,2,2,2,2,2,2)),rewrite([2(16)])].
% 9.43/9.74 7863 x6 = x4 | x3 = x7 | x4 = x7 | heap(sep(lseg(x7,x3),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x8,x4),emp)))))))))). [resolve(2109,b,371,a),rewrite([2(49)]),flip(d),merge(d)].
% 9.43/9.74 7866 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | heap(sep(lseg(x7,x3),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x5,x10),sep(next(x8,x4),emp)))))))))). [resolve(7863,d,840,a),rewrite([2(44),2(45),2(46),2(47),2(48)]),flip(d)].
% 9.43/9.74 7928 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | heap(sep(lseg(x7,x3),sep(lseg(x2,x7),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x5,x10),sep(next(x8,x4),emp)))))))))). [resolve(7866,e,840,a),rewrite([2(47),2(48),2(49),2(50),2(51)])].
% 9.43/9.74 8010 x8 = x4 | heap(sep(lseg(x8,x4),sep(lseg(x9,x7),sep(next(x7,x3),sep(next(x4,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x2,x7),sep(next(x3,x5),sep(next(x5,x10),sep(next(x6,x4),emp))))))))))). [resolve(2113,a,4,a),rewrite([2(36),2(37),2(38),2(39),2(40),2(41),2(42),2(43),2(44)])].
% 9.43/9.74 10127 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | heap(sep(lseg(x2,x3),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x1,x2),sep(next(x10,x1),sep(next(x5,x10),sep(next(x8,x4),emp))))))))). [resolve(7928,f,35,a),flip(f),merge(f)].
% 9.43/9.74 10136 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | heap(sep(lseg(x1,x2),sep(lseg(x2,x3),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x10,x1),sep(next(x5,x10),sep(next(x8,x4),emp))))))))). [resolve(10127,f,333,a),rewrite([2(48),2(49),2(50),2(51)]),flip(f)].
% 9.43/9.74 10148 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | heap(sep(lseg(x1,x3),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x10,x1),sep(next(x5,x10),sep(next(x8,x4),emp)))))))). [resolve(10136,g,16,a),flip(g),merge(g)].
% 9.43/9.74 10151 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | x10 = x1 | heap(sep(lseg(x1,x3),sep(lseg(x10,x1),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x5,x10),sep(next(x8,x4),emp)))))))). [resolve(10148,g,333,a),rewrite([2(47),2(48),2(49)])].
% 9.43/9.74 10161 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | x10 = x1 | heap(sep(lseg(x10,x3),sep(lseg(x3,x5),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x5,x10),sep(next(x8,x4),emp))))))). [resolve(10151,h,35,a),flip(h),merge(h)].
% 9.43/9.74 10163 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | x10 = x1 | x5 = x10 | heap(sep(lseg(x10,x3),sep(lseg(x3,x5),sep(lseg(x5,x10),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x8,x4),emp))))))). [resolve(10161,h,333,a),rewrite([2(46),2(47)])].
% 9.43/9.74 10165 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | x10 = x1 | x5 = x10 | heap(sep(lseg(x3,x5),sep(lseg(x5,x3),sep(lseg(x6,x7),sep(lseg(x9,x7),sep(next(x8,x4),emp)))))). [resolve(10163,i,244,a),rewrite([2(48)]),flip(i),merge(i)].
% 9.43/9.74 10173 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | x10 = x1 | x5 = x10 | x8 = x4. [resolve(10165,i,333,a),rewrite([2(45)]),unit_del(j,8)].
% 9.43/9.74 10174 x6 = x4 | x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | x10 = x1 | x5 = x10. [para(10173(i,1),4(a,1,2,2,2,2,2,2,2,2,2,1,1)),rewrite([2(57),2(58),2(59),2(60),2(61),2(62)]),unit_del(i,43)].
% 9.43/9.74 10175 x3 = x7 | x4 = x7 | x5 = x3 | x2 = x7 | x2 = x1 | x10 = x1 | x5 = x10. [para(10174(a,1),4(a,1,2,2,2,2,2,2,2,2,1,1)),rewrite([2(55),2(56),2(57),2(58),2(59)]),unit_del(h,43)].
% 9.43/9.74 10177 x3 = x7 | x4 = x7 | x2 = x7 | x2 = x1 | x10 = x1 | x5 = x10. [para(10175(c,1),4(a,1,2,2,2,2,2,2,2,1,1)),rewrite([2(53)]),unit_del(g,78)].
% 9.43/9.74 10187 x3 = x7 | x4 = x7 | x2 = x7 | x2 = x1 | x10 = x1. [para(10177(f,1),4(a,1,2,2,2,2,2,2,2,1,1)),rewrite([2(50),2(51)]),unit_del(f,61)].
% 9.43/9.74 10189 x4 = x7 | x2 = x7 | x2 = x1 | x10 = x1. [para(10187(a,1),4(a,1,2,2,2,2,2,2,1,1)),rewrite([2(48),2(49),2(50),2(51)]),unit_del(e,19)].
% 9.43/9.74 10191 x4 = x7 | x2 = x7 | x10 = x1. [para(10189(c,1),4(a,1,2,2,2,2,2,1,1)),rewrite([2(46),2(47)]),unit_del(d,49)].
% 9.43/9.74 10193 x4 = x7 | x10 = x1. [para(10191(b,1),4(a,1,2,2,2,2,2,1,1)),rewrite([2(43),2(44),2(45),2(46)]),unit_del(c,19)].
% 9.43/9.74 10202 x4 = x7. [para(10193(b,1),4(a,1,2,2,2,2,1,1)),rewrite([2(41)]),unit_del(b,49)].
% 9.43/9.74 10393 x8 = x7. [back_rewrite(8010),rewrite([10202(2),10202(5),10202(13),10202(32),2(42)]),unit_del(b,43)].
% 9.43/9.74 10432 x6 = x7. [back_rewrite(2112),rewrite([10202(2),10202(5),10202(13),10393(31),10202(32),2(36),2(37),2(38),2(39),2(40),2(42),2(41)]),unit_del(b,49)].
% 9.43/9.74 10439 x5 = x10. [back_rewrite(1660),rewrite([10202(13),10432(28),10202(29),10393(31),10202(32),2(37),2(36),2(38),2(37),2(39),2(38),2(40),2(39),2(42),2(41),2(40)]),unit_del(b,61)].
% 9.43/9.74 10443 x3 = x10. [back_rewrite(1332),rewrite([10439(1),10439(5),10202(13),10439(25),10432(28),10202(29),10393(31),10202(32),2(37),2(36),2(38),2(37),2(36),2(39),2(38),2(40),2(39),2(42),2(41),2(40)]),flip(a),unit_del(b,84)].
% 9.43/9.74 10444 x2 = x7. [back_rewrite(839),rewrite([10443(11),10202(13),10443(22),10439(23),10439(25),10432(28),10202(29),10393(31),10202(32),2(37),2(36),2(38),2(37),2(39),2(38),2(40),2(39),2(42),2(41),2(40)]),unit_del(b,97)].
% 9.43/9.74 10445 x10 = x1. [back_rewrite(565),rewrite([10443(11),10202(13),10444(17),10444(19),10443(22),10439(23),10439(25),10432(28),10202(29),10393(31),10202(32),2(37),2(36),2(38),2(37),2(40),2(39),2(38),2(42),2(41),2(40),2(39)]),unit_del(b,97)].
% 9.43/9.74 10446 x1 = x7. [back_rewrite(332),rewrite([10444(1),10444(5),10443(11),10445(11),10202(13),10445(16),10444(19),10443(22),10445(22),10439(23),10445(23),10439(25),10445(25),10445(26),10432(28),10202(29),10393(31),10202(32),2(37),2(36),2(38),2(37),2(40),2(39),2(38),2(42),2(41),2(40),2(39)]),flip(a),unit_del(b,97)].
% 9.43/9.74 10448 $F. [back_rewrite(4),rewrite([10443(5),10445(5),10446(5),10202(7),10446(10),10444(11),10445(13),10446(13),10446(14),10444(16),10443(19),10445(19),10446(19),10439(20),10445(20),10446(20),10439(22),10445(22),10446(22),10445(23),10446(23),10432(25),10202(26),10393(28),10202(29)]),unit_del(a,97)].
% 9.43/9.74
% 9.43/9.74 % SZS output end Refutation
% 9.43/9.74 ============================== end of proof ==========================
% 9.43/9.74
% 9.43/9.74 ============================== STATISTICS ============================
% 9.43/9.74
% 9.43/9.74 Given=2909. Generated=108853. Kept=10444. proofs=1.
% 9.43/9.74 Usable=1659. Sos=4240. Demods=10. Limbo=246, Disabled=4312. Hints=0.
% 9.43/9.74 Megabytes=14.17.
% 9.43/9.74 User_CPU=8.65, System_CPU=0.06, Wall_clock=9.
% 9.43/9.74
% 9.43/9.74 ============================== end of statistics =====================
% 9.43/9.74
% 9.43/9.74 ============================== end of search =========================
% 9.43/9.74
% 9.43/9.74 THEOREM PROVED
% 9.43/9.74 % SZS status Unsatisfiable
% 9.43/9.74
% 9.43/9.74 Exiting with 1 proof.
% 9.43/9.74
% 9.43/9.74 Process 4951 exit (max_proofs) Sat Jun 4 19:16:58 2022
% 9.43/9.74 Prover9 interrupted
%------------------------------------------------------------------------------