TSTP Solution File: SWV242-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 : Wed Jul 20 21:11:01 EDT 2022
% Result : Unsatisfiable 0.44s 1.00s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n013.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 : 600
% 0.12/0.34 % DateTime : Wed Jun 15 21:57:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.00 ============================== Prover9 ===============================
% 0.44/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.00 Process 30307 was started by sandbox2 on n013.cluster.edu,
% 0.44/1.00 Wed Jun 15 21:57:14 2022
% 0.44/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30153_n013.cluster.edu".
% 0.44/1.00 ============================== end of head ===========================
% 0.44/1.00
% 0.44/1.00 ============================== INPUT =================================
% 0.44/1.00
% 0.44/1.00 % Reading from file /tmp/Prover9_30153_n013.cluster.edu
% 0.44/1.00
% 0.44/1.00 set(prolog_style_variables).
% 0.44/1.00 set(auto2).
% 0.44/1.00 % set(auto2) -> set(auto).
% 0.44/1.00 % set(auto) -> set(auto_inference).
% 0.44/1.00 % set(auto) -> set(auto_setup).
% 0.44/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.00 % set(auto) -> set(auto_limits).
% 0.44/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.00 % set(auto) -> set(auto_denials).
% 0.44/1.00 % set(auto) -> set(auto_process).
% 0.44/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.00 % set(auto2) -> assign(stats, some).
% 0.44/1.00 % set(auto2) -> clear(echo_input).
% 0.44/1.00 % set(auto2) -> set(quiet).
% 0.44/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.00 % set(auto2) -> clear(print_given).
% 0.44/1.00 assign(lrs_ticks,-1).
% 0.44/1.00 assign(sos_limit,10000).
% 0.44/1.00 assign(order,kbo).
% 0.44/1.00 set(lex_order_vars).
% 0.44/1.00 clear(print_given).
% 0.44/1.00
% 0.44/1.00 % formulas(sos). % not echoed (7 formulas)
% 0.44/1.00
% 0.44/1.00 ============================== end of input ==========================
% 0.44/1.00
% 0.44/1.00 % From the command line: assign(max_seconds, 300).
% 0.44/1.00
% 0.44/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.00
% 0.44/1.00 % Formulas that are not ordinary clauses:
% 0.44/1.00
% 0.44/1.00 ============================== end of process non-clausal formulas ===
% 0.44/1.00
% 0.44/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.00
% 0.44/1.00 ============================== PREDICATE ELIMINATION =================
% 0.44/1.00
% 0.44/1.00 ============================== end predicate elimination =============
% 0.44/1.00
% 0.44/1.00 Auto_denials:
% 0.44/1.00 % copying label cls_conjecture_2 to answer in negative clause
% 0.44/1.00
% 0.44/1.00 Term ordering decisions:
% 0.44/1.00 Function symbol KB weights: tc_Message_Omsg=1. v_G=1. v_G_H=1. v_H=1. v_H_H=1. tc_set=1. c_Message_Oanalz=1. c_union=1.
% 0.44/1.00
% 0.44/1.00 ============================== end of process initial clauses ========
% 0.44/1.00
% 0.44/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.44/1.00
% 0.44/1.00 ============================== end of clauses for search =============
% 0.44/1.00
% 0.44/1.00 ============================== SEARCH ================================
% 0.44/1.00
% 0.44/1.00 % Starting search at 0.01 seconds.
% 0.44/1.00
% 0.44/1.00 ============================== PROOF =================================
% 0.44/1.00 % SZS status Unsatisfiable
% 0.44/1.00 % SZS output start Refutation
% 0.44/1.00
% 0.44/1.00 % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_2.
% 0.44/1.00 % Length of proof is 12.
% 0.44/1.00 % Level of proof is 4.
% 0.44/1.00 % Maximum clause weight is 18.000.
% 0.44/1.00 % Given clauses 9.
% 0.44/1.00
% 0.44/1.00 1 c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.44/1.00 2 c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.44/1.00 3 c_lessequals(A,c_union(A,B,C),tc_set(C)) # label(cls_Set_OUn__upper1_0) # label(axiom). [assumption].
% 0.44/1.00 4 c_lessequals(A,c_union(B,A,C),tc_set(C)) # label(cls_Set_OUn__upper2_0) # label(axiom). [assumption].
% 0.44/1.00 5 -c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) | -c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) # label(cls_conjecture_2) # label(negated_conjecture) # answer(cls_conjecture_2). [assumption].
% 0.44/1.00 6 -c_lessequals(A,B,tc_set(tc_Message_Omsg)) | c_lessequals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_set(tc_Message_Omsg)) # label(cls_Message_Oanalz__mono_0) # label(axiom). [assumption].
% 0.44/1.00 7 -c_lessequals(A,B,tc_set(C)) | -c_lessequals(D,A,tc_set(C)) | c_lessequals(D,B,tc_set(C)) # label(cls_Set_Osubset__trans_0) # label(axiom). [assumption].
% 0.44/1.00 8 c_lessequals(c_Message_Oanalz(A),c_Message_Oanalz(c_union(B,A,tc_Message_Omsg)),tc_set(tc_Message_Omsg)). [ur(6,a,4,a)].
% 0.44/1.00 9 c_lessequals(c_Message_Oanalz(A),c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),tc_set(tc_Message_Omsg)). [ur(6,a,3,a)].
% 0.44/1.00 25 c_lessequals(v_H,c_Message_Oanalz(c_union(A,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)). [ur(7,a,8,a,b,2,a)].
% 0.44/1.00 29 -c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) # answer(cls_conjecture_2). [back_unit_del(5),unit_del(a,25)].
% 0.44/1.00 32 $F # answer(cls_conjecture_2). [ur(7,b,1,a,c,29,a),unit_del(a,9)].
% 0.44/1.00
% 0.44/1.00 % SZS output end Refutation
% 0.44/1.00 ============================== end of proof ==========================
% 0.44/1.00
% 0.44/1.00 ============================== STATISTICS ============================
% 0.44/1.00
% 0.44/1.00 Given=9. Generated=34. Kept=31. proofs=1.
% 0.44/1.00 Usable=8. Sos=18. Demods=0. Limbo=2, Disabled=10. Hints=0.
% 0.44/1.00 Megabytes=0.05.
% 0.44/1.00 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.44/1.00
% 0.44/1.00 ============================== end of statistics =====================
% 0.44/1.00
% 0.44/1.00 ============================== end of search =========================
% 0.44/1.00
% 0.44/1.00 THEOREM PROVED
% 0.44/1.00 % SZS status Unsatisfiable
% 0.44/1.00
% 0.44/1.00 Exiting with 1 proof.
% 0.44/1.00
% 0.44/1.00 Process 30307 exit (max_proofs) Wed Jun 15 21:57:14 2022
% 0.44/1.00 Prover9 interrupted
%------------------------------------------------------------------------------