TSTP Solution File: SWV254-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV254-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Wed Jul 20 21:11:09 EDT 2022
% Result : Unsatisfiable 0.51s 1.07s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV254-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jun 15 20:04:37 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.51/1.07 ============================== Prover9 ===============================
% 0.51/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.51/1.07 Process 3654 was started by sandbox2 on n026.cluster.edu,
% 0.51/1.07 Wed Jun 15 20:04:38 2022
% 0.51/1.07 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3500_n026.cluster.edu".
% 0.51/1.07 ============================== end of head ===========================
% 0.51/1.07
% 0.51/1.07 ============================== INPUT =================================
% 0.51/1.07
% 0.51/1.07 % Reading from file /tmp/Prover9_3500_n026.cluster.edu
% 0.51/1.07
% 0.51/1.07 set(prolog_style_variables).
% 0.51/1.07 set(auto2).
% 0.51/1.07 % set(auto2) -> set(auto).
% 0.51/1.07 % set(auto) -> set(auto_inference).
% 0.51/1.07 % set(auto) -> set(auto_setup).
% 0.51/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.51/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.51/1.07 % set(auto) -> set(auto_limits).
% 0.51/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.51/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.51/1.07 % set(auto) -> set(auto_denials).
% 0.51/1.07 % set(auto) -> set(auto_process).
% 0.51/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.51/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.51/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.51/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.51/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.51/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.51/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.51/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.51/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.51/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.51/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.51/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.51/1.07 % set(auto2) -> assign(stats, some).
% 0.51/1.07 % set(auto2) -> clear(echo_input).
% 0.51/1.07 % set(auto2) -> set(quiet).
% 0.51/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.51/1.07 % set(auto2) -> clear(print_given).
% 0.51/1.07 assign(lrs_ticks,-1).
% 0.51/1.07 assign(sos_limit,10000).
% 0.51/1.07 assign(order,kbo).
% 0.51/1.07 set(lex_order_vars).
% 0.51/1.07 clear(print_given).
% 0.51/1.07
% 0.51/1.07 % formulas(sos). % not echoed (6 formulas)
% 0.51/1.07
% 0.51/1.07 ============================== end of input ==========================
% 0.51/1.07
% 0.51/1.07 % From the command line: assign(max_seconds, 300).
% 0.51/1.07
% 0.51/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.51/1.07
% 0.51/1.07 % Formulas that are not ordinary clauses:
% 0.51/1.07
% 0.51/1.07 ============================== end of process non-clausal formulas ===
% 0.51/1.07
% 0.51/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.51/1.07
% 0.51/1.07 ============================== PREDICATE ELIMINATION =================
% 0.51/1.07 1 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_SetInterval_OatLeastLessThan(C,B,A) = c_emptyset # label(cls_SetInterval_OatLeastLessThan__empty_0) # label(axiom). [assumption].
% 0.51/1.07 2 class_Orderings_Oorder(tc_nat) # label(clsarity_nat_3) # label(axiom). [assumption].
% 0.51/1.07 Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset. [resolve(1,a,2,a)].
% 0.51/1.07
% 0.51/1.07 ============================== end predicate elimination =============
% 0.51/1.07
% 0.51/1.07 Auto_denials:
% 0.51/1.07 % copying label cls_Set_Oempty__not__insert_0 to answer in negative clause
% 0.51/1.07
% 0.51/1.07 Term ordering decisions:
% 0.51/1.07 Function symbol KB weights: tc_nat=1. c_emptyset=1. v_nat=1. v_x=1. c_Suc=1. c_SetInterval_OatLeastLessThan=1. c_insert=1.
% 0.51/1.07
% 0.51/1.07 ============================== end of process initial clauses ========
% 0.51/1.07
% 0.51/1.07 ============================== CLAUSES FOR SEARCH ====================
% 0.51/1.07
% 0.51/1.07 ============================== end of clauses for search =============
% 0.51/1.07
% 0.51/1.07 ============================== SEARCH ================================
% 0.51/1.07
% 0.51/1.07 % Starting search at 0.01 seconds.
% 0.51/1.07
% 0.51/1.07 ============================== PROOF =================================
% 0.51/1.07 % SZS status Unsatisfiable
% 0.51/1.07 % SZS output start Refutation
% 0.51/1.07
% 0.51/1.07 % Proof 1 at 0.01 (+ 0.00) seconds: cls_Set_Oempty__not__insert_0.
% 0.51/1.07 % Length of proof is 12.
% 0.51/1.07 % Level of proof is 4.
% 0.51/1.07 % Maximum clause weight is 10.000.
% 0.51/1.07 % Given clauses 6.
% 0.51/1.07
% 0.51/1.07 1 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_SetInterval_OatLeastLessThan(C,B,A) = c_emptyset # label(cls_SetInterval_OatLeastLessThan__empty_0) # label(axiom). [assumption].
% 0.51/1.07 2 class_Orderings_Oorder(tc_nat) # label(clsarity_nat_3) # label(axiom). [assumption].
% 0.51/1.07 3 v_x(A) = v_nat # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.51/1.07 4 c_lessequals(A,v_x(A),tc_nat) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.51/1.07 5 c_lessequals(A,v_nat,tc_nat). [copy(4),rewrite([3(1)])].
% 0.51/1.07 6 c_SetInterval_OatLeastLessThan(A,c_Suc(A),tc_nat) = c_insert(A,c_emptyset,tc_nat) # label(cls_SetInterval_OatLeastLessThan__singleton_0) # label(axiom). [assumption].
% 0.51/1.07 7 c_emptyset != c_insert(A,B,C) # label(cls_Set_Oempty__not__insert_0) # label(axiom) # answer(cls_Set_Oempty__not__insert_0). [assumption].
% 0.51/1.07 8 c_insert(A,B,C) != c_emptyset # answer(cls_Set_Oempty__not__insert_0). [copy(7),flip(a)].
% 0.51/1.07 9 -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset. [resolve(1,a,2,a)].
% 0.51/1.07 10 c_SetInterval_OatLeastLessThan(v_nat,A,tc_nat) = c_emptyset. [hyper(9,a,5,a)].
% 0.51/1.07 11 c_insert(v_nat,c_emptyset,tc_nat) = c_emptyset. [para(10(a,1),6(a,1)),flip(a)].
% 0.51/1.07 12 $F # answer(cls_Set_Oempty__not__insert_0). [resolve(11,a,8,a)].
% 0.51/1.07
% 0.51/1.07 % SZS output end Refutation
% 0.51/1.07 ============================== end of proof ==========================
% 0.51/1.07
% 0.51/1.07 ============================== STATISTICS ============================
% 0.51/1.08
% 0.51/1.08 Given=6. Generated=9. Kept=7. proofs=1.
% 0.51/1.08 Usable=6. Sos=0. Demods=3. Limbo=0, Disabled=7. Hints=0.
% 0.51/1.08 Megabytes=0.03.
% 0.51/1.08 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.51/1.08
% 0.51/1.08 ============================== end of statistics =====================
% 0.51/1.08
% 0.51/1.08 ============================== end of search =========================
% 0.51/1.08
% 0.51/1.08 THEOREM PROVED
% 0.51/1.08 % SZS status Unsatisfiable
% 0.51/1.08
% 0.51/1.08 Exiting with 1 proof.
% 0.51/1.08
% 0.51/1.08 Process 3654 exit (max_proofs) Wed Jun 15 20:04:38 2022
% 0.51/1.08 Prover9 interrupted
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