TSTP Solution File: SYN313-1.001.002 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% 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 11:18:00 EDT 2022
% Result : Unsatisfiable 0.99s 1.24s
% Output : Refutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 12 05:15:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.99/1.24 ============================== Prover9 ===============================
% 0.99/1.24 Prover9 (32) version 2009-11A, November 2009.
% 0.99/1.24 Process 9425 was started by sandbox2 on n021.cluster.edu,
% 0.99/1.24 Tue Jul 12 05:15:54 2022
% 0.99/1.24 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_9271_n021.cluster.edu".
% 0.99/1.24 ============================== end of head ===========================
% 0.99/1.24
% 0.99/1.24 ============================== INPUT =================================
% 0.99/1.24
% 0.99/1.24 % Reading from file /tmp/Prover9_9271_n021.cluster.edu
% 0.99/1.24
% 0.99/1.24 set(prolog_style_variables).
% 0.99/1.24 set(auto2).
% 0.99/1.24 % set(auto2) -> set(auto).
% 0.99/1.24 % set(auto) -> set(auto_inference).
% 0.99/1.24 % set(auto) -> set(auto_setup).
% 0.99/1.24 % set(auto_setup) -> set(predicate_elim).
% 0.99/1.24 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.99/1.24 % set(auto) -> set(auto_limits).
% 0.99/1.24 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.99/1.24 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.99/1.24 % set(auto) -> set(auto_denials).
% 0.99/1.24 % set(auto) -> set(auto_process).
% 0.99/1.24 % set(auto2) -> assign(new_constants, 1).
% 0.99/1.24 % set(auto2) -> assign(fold_denial_max, 3).
% 0.99/1.24 % set(auto2) -> assign(max_weight, "200.000").
% 0.99/1.24 % set(auto2) -> assign(max_hours, 1).
% 0.99/1.24 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.99/1.24 % set(auto2) -> assign(max_seconds, 0).
% 0.99/1.24 % set(auto2) -> assign(max_minutes, 5).
% 0.99/1.24 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.99/1.24 % set(auto2) -> set(sort_initial_sos).
% 0.99/1.24 % set(auto2) -> assign(sos_limit, -1).
% 0.99/1.24 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.99/1.24 % set(auto2) -> assign(max_megs, 400).
% 0.99/1.24 % set(auto2) -> assign(stats, some).
% 0.99/1.24 % set(auto2) -> clear(echo_input).
% 0.99/1.24 % set(auto2) -> set(quiet).
% 0.99/1.24 % set(auto2) -> clear(print_initial_clauses).
% 0.99/1.24 % set(auto2) -> clear(print_given).
% 0.99/1.24 assign(lrs_ticks,-1).
% 0.99/1.24 assign(sos_limit,10000).
% 0.99/1.24 assign(order,kbo).
% 0.99/1.24 set(lex_order_vars).
% 0.99/1.24 clear(print_given).
% 0.99/1.24
% 0.99/1.24 % formulas(sos). % not echoed (2 formulas)
% 0.99/1.24
% 0.99/1.24 ============================== end of input ==========================
% 0.99/1.24
% 0.99/1.24 % From the command line: assign(max_seconds, 300).
% 0.99/1.24
% 0.99/1.24 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.99/1.24
% 0.99/1.24 % Formulas that are not ordinary clauses:
% 0.99/1.24
% 0.99/1.24 ============================== end of process non-clausal formulas ===
% 0.99/1.24
% 0.99/1.24 ============================== PROCESS INITIAL CLAUSES ===============
% 0.99/1.24
% 0.99/1.24 ============================== PREDICATE ELIMINATION =================
% 0.99/1.24
% 0.99/1.24 ============================== end predicate elimination =============
% 0.99/1.24
% 0.99/1.24 Auto_denials: (non-Horn, no changes).
% 0.99/1.24
% 0.99/1.24 Term ordering decisions:
% 0.99/1.24 Function symbol KB weights: h0=1. h1=1. h2=1. j0=1. j1=1. j2=1. f0=1. f1=1.
% 0.99/1.24
% 0.99/1.24 ============================== end of process initial clauses ========
% 0.99/1.24
% 0.99/1.24 ============================== CLAUSES FOR SEARCH ====================
% 0.99/1.24
% 0.99/1.24 ============================== end of clauses for search =============
% 0.99/1.24
% 0.99/1.24 ============================== SEARCH ================================
% 0.99/1.24
% 0.99/1.24 % Starting search at 0.01 seconds.
% 0.99/1.24
% 0.99/1.24 ============================== PROOF =================================
% 0.99/1.24 % SZS status Unsatisfiable
% 0.99/1.24 % SZS output start Refutation
% 0.99/1.24
% 0.99/1.24 % Proof 1 at 0.25 (+ 0.00) seconds.
% 0.99/1.24 % Length of proof is 38.
% 0.99/1.24 % Level of proof is 29.
% 0.99/1.24 % Maximum clause weight is 74.000.
% 0.99/1.24 % Given clauses 129.
% 0.99/1.24
% 0.99/1.24 1 p(h0,A,j0(B)) | p(h1(A),C,j1(B)) | p(h2(C),B,j2(B)) # label(clause2) # label(negated_conjecture). [assumption].
% 0.99/1.24 2 -p(A,f0(A),B) | -p(A,f1(B),C) # label(clause1) # label(negated_conjecture). [assumption].
% 0.99/1.24 6 -p(h1(A),f0(h1(A)),B) | p(h0,A,j0(C)) | p(h2(f1(B)),C,j2(C)). [resolve(2,b,1,b)].
% 0.99/1.24 8 p(h0,A,j0(B)) | p(h2(f1(j1(C))),B,j2(B)) | p(h0,A,j0(C)) | p(h2(f0(h1(A))),C,j2(C)). [resolve(6,a,1,b)].
% 0.99/1.24 25 p(h2(f1(j1(A))),B,j2(B)) | p(h0,f1(C),j0(A)) | p(h2(f0(h1(f1(C)))),A,j2(A)) | -p(h0,f0(h0),C). [resolve(8,a,2,b)].
% 0.99/1.24 26 p(h2(f1(j1(A))),B,j2(B)) | p(h0,f0(h0),j0(A)) | p(h2(f0(h1(f0(h0)))),A,j2(A)) | -p(h0,f1(j0(B)),C). [resolve(8,a,2,a)].
% 0.99/1.24 27 p(h0,A,j0(f1(B))) | p(h0,A,j0(C)) | p(h2(f0(h1(A))),C,j2(C)) | -p(h2(f1(j1(C))),f0(h2(f1(j1(C)))),B). [resolve(8,b,2,b)].
% 0.99/1.24 39 p(h0,A,j0(f1(j2(f0(h2(f1(j1(B)))))))) | p(h0,A,j0(B)) | p(h2(f0(h1(A))),B,j2(B)) | p(h0,C,j0(f0(h2(f1(j1(B)))))) | p(h0,C,j0(B)) | p(h2(f0(h1(C))),B,j2(B)). [resolve(27,d,8,b)].
% 0.99/1.24 40 p(h0,A,j0(f1(j2(f0(h2(f1(j1(B)))))))) | p(h0,A,j0(B)) | p(h2(f0(h1(A))),B,j2(B)) | p(h0,A,j0(f0(h2(f1(j1(B)))))). [factor(39,b,e),merge(e)].
% 0.99/1.24 46 p(h0,f1(j0(A)),j0(B)) | p(h2(f0(h1(f1(j0(A))))),B,j2(B)) | p(h0,f1(j0(A)),j0(f0(h2(f1(j1(B)))))) | p(h2(f1(j1(C))),A,j2(A)) | p(h0,f0(h0),j0(C)) | p(h2(f0(h1(f0(h0)))),C,j2(C)). [resolve(40,a,26,d)].
% 0.99/1.24 55 p(h0,A,j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(A)))))))))))) | p(h0,A,j0(f0(h2(f0(h1(A)))))) | p(h0,A,j0(f0(h2(f1(j1(f0(h2(f0(h1(A)))))))))) | -p(h2(f0(h1(A))),f1(j2(f0(h2(f0(h1(A)))))),B). [resolve(40,c,2,a)].
% 0.99/1.24 198 p(h0,A,j0(f1(j2(f0(h2(f1(j1(B)))))))) | p(h0,A,j0(B)) | p(h2(f0(h1(A))),B,j2(B)) | p(h0,f1(C),j0(B)) | p(h2(f0(h1(f1(C)))),B,j2(B)) | -p(h0,f0(h0),C). [resolve(39,d,2,b)].
% 0.99/1.24 422 p(h0,f1(j0(A)),j0(B)) | p(h2(f0(h1(f1(j0(A))))),B,j2(B)) | p(h2(f1(j1(C))),A,j2(A)) | p(h0,f0(h0),j0(C)) | p(h2(f0(h1(f0(h0)))),C,j2(C)) | p(h2(f1(j1(D))),A,j2(A)) | p(h0,f0(h0),j0(D)) | p(h2(f0(h1(f0(h0)))),D,j2(D)). [resolve(46,c,26,d)].
% 0.99/1.24 454 p(h0,f1(j0(A)),j0(B)) | p(h2(f0(h1(f1(j0(A))))),B,j2(B)) | p(h2(f1(j1(C))),A,j2(A)) | p(h0,f0(h0),j0(C)) | p(h2(f0(h1(f0(h0)))),C,j2(C)). [factor(422,c,f),merge(f),merge(g)].
% 0.99/1.24 468 p(h0,f1(j0(A)),j0(f1(B))) | p(h2(f1(j1(C))),A,j2(A)) | p(h0,f0(h0),j0(C)) | p(h2(f0(h1(f0(h0)))),C,j2(C)) | -p(h2(f0(h1(f1(j0(A))))),f0(h2(f0(h1(f1(j0(A)))))),B). [resolve(454,b,2,b)].
% 0.99/1.24 509 p(h0,f1(j0(A)),j0(f1(j2(f0(h2(f0(h1(f1(j0(A)))))))))) | p(h2(f1(j1(B))),A,j2(A)) | p(h0,f0(h0),j0(B)) | p(h2(f0(h1(f0(h0)))),B,j2(B)) | p(h0,f1(j0(A)),j0(f0(h2(f0(h1(f1(j0(A)))))))) | p(h2(f1(j1(C))),A,j2(A)) | p(h0,f0(h0),j0(C)) | p(h2(f0(h1(f0(h0)))),C,j2(C)). [resolve(468,e,454,b)].
% 0.99/1.24 512 p(h0,f1(j0(A)),j0(f1(j2(f0(h2(f0(h1(f1(j0(A)))))))))) | p(h2(f1(j1(B))),A,j2(A)) | p(h0,f0(h0),j0(B)) | p(h2(f0(h1(f0(h0)))),B,j2(B)) | p(h0,f1(j0(A)),j0(f0(h2(f0(h1(f1(j0(A)))))))). [factor(509,b,f),merge(f),merge(g)].
% 0.99/1.24 531 p(h2(f1(j1(A))),B,j2(B)) | p(h0,f0(h0),j0(A)) | p(h2(f0(h1(f0(h0)))),A,j2(A)) | p(h0,f1(j0(B)),j0(f0(h2(f0(h1(f1(j0(B)))))))) | p(h2(f1(j1(C))),B,j2(B)) | p(h0,f0(h0),j0(C)) | p(h2(f0(h1(f0(h0)))),C,j2(C)). [resolve(512,a,26,d)].
% 0.99/1.24 559 p(h2(f1(j1(A))),B,j2(B)) | p(h0,f0(h0),j0(A)) | p(h2(f0(h1(f0(h0)))),A,j2(A)) | p(h0,f1(j0(B)),j0(f0(h2(f0(h1(f1(j0(B)))))))). [factor(531,a,e),merge(e),merge(f)].
% 0.99/1.24 588 p(h2(f1(j1(A))),B,j2(B)) | p(h0,f0(h0),j0(A)) | p(h2(f0(h1(f0(h0)))),A,j2(A)) | p(h2(f1(j1(C))),B,j2(B)) | p(h0,f0(h0),j0(C)) | p(h2(f0(h1(f0(h0)))),C,j2(C)). [resolve(559,d,26,d)].
% 0.99/1.24 602 p(h2(f1(j1(A))),B,j2(B)) | p(h0,f0(h0),j0(A)) | p(h2(f0(h1(f0(h0)))),A,j2(A)). [factor(588,a,d),merge(d),merge(e)].
% 0.99/1.24 611 p(h0,f0(h0),j0(A)) | p(h2(f0(h1(f0(h0)))),A,j2(A)) | -p(h2(f1(j1(A))),f0(h2(f1(j1(A)))),B). [resolve(602,a,2,b)].
% 0.99/1.24 654 p(h0,f0(h0),j0(A)) | p(h2(f0(h1(f0(h0)))),A,j2(A)). [resolve(611,c,602,a),merge(c),merge(d)].
% 0.99/1.24 663 p(h0,f0(h0),j0(f1(A))) | -p(h2(f0(h1(f0(h0)))),f0(h2(f0(h1(f0(h0))))),A). [resolve(654,b,2,b)].
% 0.99/1.24 667 p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))) | p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))). [resolve(663,b,654,b)].
% 0.99/1.24 675 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) | p(h2(f1(j1(A))),B,j2(B)) | p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(A)) | p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),A,j2(A)). [resolve(667,a,25,d)].
% 0.99/1.24 676 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) | -p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),A). [resolve(667,a,2,a)].
% 0.99/1.24 678 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) | p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(A)) | p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),A,j2(A)) | -p(h2(f1(j1(A))),f0(h2(f1(j1(A)))),B). [resolve(675,b,2,b)].
% 0.99/1.24 715 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) | p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(A)) | p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),A,j2(A)). [resolve(678,d,675,b),merge(d),merge(e),merge(f)].
% 0.99/1.24 725 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) | p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(A))) | -p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),A). [resolve(715,c,2,b)].
% 0.99/1.24 744 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) | p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))) | p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))). [resolve(725,c,715,c),merge(c)].
% 0.99/1.24 757 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) | p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))). [resolve(744,b,676,b),merge(c)].
% 0.99/1.24 758 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))). [resolve(757,b,676,b),merge(b)].
% 0.99/1.24 768 p(h0,A,j0(f1(j2(f0(h2(f1(j1(B)))))))) | p(h0,A,j0(B)) | p(h2(f0(h1(A))),B,j2(B)) | p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(B)) | p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),B,j2(B)). [resolve(758,a,198,f)].
% 0.99/1.24 774 -p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),A). [resolve(758,a,2,a)].
% 0.99/1.24 780 p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),A,j2(A)). [factor(768,b,d),merge(d),unit_del(a,774),unit_del(b,774)].
% 0.99/1.24 789 -p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),A). [ur(55,a,774,a,b,774,a,c,774,a)].
% 0.99/1.24 790 $F. [resolve(789,a,780,a)].
% 0.99/1.24
% 0.99/1.24 % SZS output end Refutation
% 0.99/1.24 ============================== end of proof ==========================
% 0.99/1.24
% 0.99/1.24 ============================== STATISTICS ============================
% 0.99/1.24
% 0.99/1.24 Given=129. Generated=1930. Kept=789. proofs=1.
% 0.99/1.24 Usable=96. Sos=102. Demods=0. Limbo=2, Disabled=590. Hints=0.
% 0.99/1.24 Megabytes=1.89.
% 0.99/1.24 User_CPU=0.25, System_CPU=0.00, Wall_clock=1.
% 0.99/1.24
% 0.99/1.24 ============================== end of statistics =====================
% 0.99/1.24
% 0.99/1.24 ============================== end of search =========================
% 0.99/1.24
% 0.99/1.24 THEOREM PROVED
% 0.99/1.24 % SZS status Unsatisfiable
% 0.99/1.24
% 0.99/1.24 Exiting with 1 proof.
% 0.99/1.24
% 0.99/1.24 Process 9425 exit (max_proofs) Tue Jul 12 05:15:55 2022
% 0.99/1.24 Prover9 interrupted
%------------------------------------------------------------------------------