TSTP Solution File: SWV400+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV400+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 21:12:32 EDT 2022
% Result : Theorem 0.39s 0.99s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SWV400+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 15 11:00:40 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.39/0.99 ============================== Prover9 ===============================
% 0.39/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.39/0.99 Process 18327 was started by sandbox on n015.cluster.edu,
% 0.39/0.99 Wed Jun 15 11:00:40 2022
% 0.39/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18173_n015.cluster.edu".
% 0.39/0.99 ============================== end of head ===========================
% 0.39/0.99
% 0.39/0.99 ============================== INPUT =================================
% 0.39/0.99
% 0.39/0.99 % Reading from file /tmp/Prover9_18173_n015.cluster.edu
% 0.39/0.99
% 0.39/0.99 set(prolog_style_variables).
% 0.39/0.99 set(auto2).
% 0.39/0.99 % set(auto2) -> set(auto).
% 0.39/0.99 % set(auto) -> set(auto_inference).
% 0.39/0.99 % set(auto) -> set(auto_setup).
% 0.39/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.39/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.39/0.99 % set(auto) -> set(auto_limits).
% 0.39/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.39/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.39/0.99 % set(auto) -> set(auto_denials).
% 0.39/0.99 % set(auto) -> set(auto_process).
% 0.39/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.39/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.39/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.39/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.39/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.39/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.39/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.39/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.39/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.39/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.39/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.39/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.39/0.99 % set(auto2) -> assign(stats, some).
% 0.39/0.99 % set(auto2) -> clear(echo_input).
% 0.39/0.99 % set(auto2) -> set(quiet).
% 0.39/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.39/0.99 % set(auto2) -> clear(print_given).
% 0.39/0.99 assign(lrs_ticks,-1).
% 0.39/0.99 assign(sos_limit,10000).
% 0.39/0.99 assign(order,kbo).
% 0.39/0.99 set(lex_order_vars).
% 0.39/0.99 clear(print_given).
% 0.39/0.99
% 0.39/0.99 % formulas(sos). % not echoed (19 formulas)
% 0.39/0.99
% 0.39/0.99 ============================== end of input ==========================
% 0.39/0.99
% 0.39/0.99 % From the command line: assign(max_seconds, 300).
% 0.39/0.99
% 0.39/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.39/0.99
% 0.39/0.99 % Formulas that are not ordinary clauses:
% 0.39/0.99 1 (all U all V all W (less_than(U,V) & less_than(V,W) -> less_than(U,W))) # label(transitivity) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 2 (all U all V (less_than(U,V) | less_than(V,U))) # label(totality) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 3 (all U less_than(U,U)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 4 (all U all V (strictly_less_than(U,V) <-> less_than(U,V) & -less_than(V,U))) # label(stricly_smaller_definition) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 5 (all U less_than(bottom,U)) # label(bottom_smallest) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 6 (all U all V all W isnonempty_slb(insert_slb(U,pair(V,W)))) # label(ax19) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 7 (all U -contains_slb(create_slb,U)) # label(ax20) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 8 (all U all V all W all X (contains_slb(insert_slb(U,pair(V,X)),W) <-> contains_slb(U,W) | V = W)) # label(ax21) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 9 (all U all V -pair_in_list(create_slb,U,V)) # label(ax22) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 10 (all U all V all W all X all Y (pair_in_list(insert_slb(U,pair(V,X)),W,Y) <-> pair_in_list(U,W,Y) | V = W & X = Y)) # label(ax23) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 11 (all U all V all W remove_slb(insert_slb(U,pair(V,W)),V) = U) # label(ax24) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 12 (all U all V all W all X (V != W & contains_slb(U,W) -> remove_slb(insert_slb(U,pair(V,X)),W) = insert_slb(remove_slb(U,W),pair(V,X)))) # label(ax25) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 13 (all U all V all W lookup_slb(insert_slb(U,pair(V,W)),V) = W) # label(ax26) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 14 (all U all V all W all X (V != W & contains_slb(U,W) -> lookup_slb(insert_slb(U,pair(V,X)),W) = lookup_slb(U,W))) # label(ax27) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 15 (all U update_slb(create_slb,U) = create_slb) # label(ax28) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 16 (all U all V all W all X (strictly_less_than(X,W) -> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)))) # label(ax29) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 17 (all U all V all W all X (less_than(W,X) -> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)))) # label(ax30) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 18 -(all U all V all W all X (pair_in_list(create_slb,V,W) & less_than(X,W) -> pair_in_list(update_slb(create_slb,X),V,W))) # label(l36_co) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.39/0.99
% 0.39/0.99 ============================== end of process non-clausal formulas ===
% 0.39/0.99
% 0.39/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.39/0.99
% 0.39/0.99 ============================== PREDICATE ELIMINATION =================
% 0.39/0.99 19 strictly_less_than(A,B) | -less_than(A,B) | less_than(B,A) # label(stricly_smaller_definition) # label(axiom). [clausify(4)].
% 0.39/0.99 20 -strictly_less_than(A,B) | -less_than(B,A) # label(stricly_smaller_definition) # label(axiom). [clausify(4)].
% 0.39/0.99 21 -strictly_less_than(A,B) | less_than(A,B) # label(stricly_smaller_definition) # label(axiom). [clausify(4)].
% 0.39/0.99 22 -strictly_less_than(A,B) | update_slb(insert_slb(C,pair(D,A)),B) = insert_slb(update_slb(C,B),pair(D,B)) # label(ax29) # label(axiom). [clausify(16)].
% 0.39/0.99 Derived: update_slb(insert_slb(A,pair(B,C)),D) = insert_slb(update_slb(A,D),pair(B,D)) | -less_than(C,D) | less_than(D,C). [resolve(22,a,19,a)].
% 0.39/0.99
% 0.39/0.99 ============================== end predicate elimination =============
% 0.39/0.99
% 0.39/0.99 Auto_denials: (non-Horn, no changes).
% 0.39/0.99
% 0.39/0.99 Term ordering decisions:
% 0.39/0.99 Function symbol KB weights: create_slb=1. bottom=1. c2=1. c3=1. c4=1. insert_slb=1. pair=1. update_slb=1. lookup_slb=1. remove_slb=1.
% 0.39/0.99
% 0.39/0.99 ============================== PROOF =================================
% 0.39/0.99 % SZS status Theorem
% 0.39/0.99 % SZS output start Refutation
% 0.39/0.99
% 0.39/0.99 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.39/0.99 % Length of proof is 5.
% 0.39/0.99 % Level of proof is 2.
% 0.39/0.99 % Maximum clause weight is 4.000.
% 0.39/0.99 % Given clauses 0.
% 0.39/0.99
% 0.39/0.99 9 (all U all V -pair_in_list(create_slb,U,V)) # label(ax22) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.99 18 -(all U all V all W all X (pair_in_list(create_slb,V,W) & less_than(X,W) -> pair_in_list(update_slb(create_slb,X),V,W))) # label(l36_co) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.39/0.99 26 pair_in_list(create_slb,c2,c3) # label(l36_co) # label(negated_conjecture). [clausify(18)].
% 0.39/0.99 34 -pair_in_list(create_slb,A,B) # label(ax22) # label(axiom). [clausify(9)].
% 0.39/0.99 35 $F. [resolve(34,a,26,a)].
% 0.39/0.99
% 0.39/0.99 % SZS output end Refutation
% 0.39/0.99 ============================== end of proof ==========================
% 0.39/0.99
% 0.39/0.99 ============================== STATISTICS ============================
% 0.39/0.99
% 0.39/0.99 Given=0. Generated=12. Kept=12. proofs=1.
% 0.39/0.99 Usable=0. Sos=0. Demods=3. Limbo=11, Disabled=16. Hints=0.
% 0.39/0.99 Megabytes=0.05.
% 0.39/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.39/0.99
% 0.39/0.99 ============================== end of statistics =====================
% 0.39/0.99
% 0.39/0.99 ============================== end of search =========================
% 0.39/0.99
% 0.39/0.99 THEOREM PROVED
% 0.39/0.99 % SZS status Theorem
% 0.39/0.99
% 0.39/0.99 Exiting with 1 proof.
% 0.39/0.99
% 0.39/0.99 Process 18327 exit (max_proofs) Wed Jun 15 11:00:40 2022
% 0.39/0.99 Prover9 interrupted
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