TSTP Solution File: SWV410+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV410+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 21:12:34 EDT 2022
% Result : Theorem 0.44s 0.98s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV410+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 22:03:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.44/0.98 ============================== Prover9 ===============================
% 0.44/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.44/0.98 Process 3068 was started by sandbox on n028.cluster.edu,
% 0.44/0.98 Tue Jun 14 22:03:55 2022
% 0.44/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2914_n028.cluster.edu".
% 0.44/0.98 ============================== end of head ===========================
% 0.44/0.98
% 0.44/0.98 ============================== INPUT =================================
% 0.44/0.98
% 0.44/0.98 % Reading from file /tmp/Prover9_2914_n028.cluster.edu
% 0.44/0.98
% 0.44/0.98 set(prolog_style_variables).
% 0.44/0.98 set(auto2).
% 0.44/0.98 % set(auto2) -> set(auto).
% 0.44/0.98 % set(auto) -> set(auto_inference).
% 0.44/0.98 % set(auto) -> set(auto_setup).
% 0.44/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.44/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/0.98 % set(auto) -> set(auto_limits).
% 0.44/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/0.98 % set(auto) -> set(auto_denials).
% 0.44/0.98 % set(auto) -> set(auto_process).
% 0.44/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.44/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.44/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.44/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.44/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.44/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.44/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.44/0.98 % set(auto2) -> assign(stats, some).
% 0.44/0.98 % set(auto2) -> clear(echo_input).
% 0.44/0.98 % set(auto2) -> set(quiet).
% 0.44/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.44/0.98 % set(auto2) -> clear(print_given).
% 0.44/0.98 assign(lrs_ticks,-1).
% 0.44/0.98 assign(sos_limit,10000).
% 0.44/0.98 assign(order,kbo).
% 0.44/0.98 set(lex_order_vars).
% 0.44/0.98 clear(print_given).
% 0.44/0.98
% 0.44/0.98 % formulas(sos). % not echoed (19 formulas)
% 0.44/0.98
% 0.44/0.98 ============================== end of input ==========================
% 0.44/0.98
% 0.44/0.98 % From the command line: assign(max_seconds, 300).
% 0.44/0.98
% 0.44/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/0.98
% 0.44/0.98 % Formulas that are not ordinary clauses:
% 0.44/0.98 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].
% 0.44/0.98 2 (all U all V (less_than(U,V) | less_than(V,U))) # label(totality) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 3 (all U less_than(U,U)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 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].
% 0.44/0.98 5 (all U less_than(bottom,U)) # label(bottom_smallest) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 6 (all U all V all W isnonempty_slb(insert_slb(U,pair(V,W)))) # label(ax19) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 7 (all U -contains_slb(create_slb,U)) # label(ax20) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 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].
% 0.44/0.98 9 (all U all V -pair_in_list(create_slb,U,V)) # label(ax22) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 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].
% 0.44/0.98 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].
% 0.44/0.98 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].
% 0.44/0.98 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].
% 0.44/0.98 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].
% 0.44/0.98 15 (all U update_slb(create_slb,U) = create_slb) # label(ax28) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 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].
% 0.44/0.98 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].
% 0.44/0.98 18 -(all U (contains_slb(create_slb,U) -> (exists V pair_in_list(create_slb,U,V)))) # label(l46_co) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/0.98
% 0.44/0.98 ============================== end of process non-clausal formulas ===
% 0.44/0.98
% 0.44/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/0.98
% 0.44/0.98 ============================== PREDICATE ELIMINATION =================
% 0.44/0.98 19 strictly_less_than(A,B) | -less_than(A,B) | less_than(B,A) # label(stricly_smaller_definition) # label(axiom). [clausify(4)].
% 0.44/0.98 20 -strictly_less_than(A,B) | -less_than(B,A) # label(stricly_smaller_definition) # label(axiom). [clausify(4)].
% 0.44/0.98 21 -strictly_less_than(A,B) | less_than(A,B) # label(stricly_smaller_definition) # label(axiom). [clausify(4)].
% 0.44/0.98 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)].
% 0.44/0.98 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)].
% 0.44/0.98
% 0.44/0.98 ============================== end predicate elimination =============
% 0.44/0.98
% 0.44/0.98 Auto_denials: (non-Horn, no changes).
% 0.44/0.98
% 0.44/0.98 Term ordering decisions:
% 0.44/0.98 Function symbol KB weights: create_slb=1. bottom=1. c1=1. insert_slb=1. pair=1. update_slb=1. lookup_slb=1. remove_slb=1.
% 0.44/0.98
% 0.44/0.98 ============================== PROOF =================================
% 0.44/0.98 % SZS status Theorem
% 0.44/0.98 % SZS output start Refutation
% 0.44/0.98
% 0.44/0.98 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.44/0.98 % Length of proof is 5.
% 0.44/0.98 % Level of proof is 2.
% 0.44/0.98 % Maximum clause weight is 3.000.
% 0.44/0.98 % Given clauses 0.
% 0.44/0.98
% 0.44/0.98 7 (all U -contains_slb(create_slb,U)) # label(ax20) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 18 -(all U (contains_slb(create_slb,U) -> (exists V pair_in_list(create_slb,U,V)))) # label(l46_co) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/0.98 25 contains_slb(create_slb,c1) # label(l46_co) # label(negated_conjecture). [clausify(18)].
% 0.44/0.98 32 -contains_slb(create_slb,A) # label(ax20) # label(axiom). [clausify(7)].
% 0.44/0.98 33 $F. [resolve(32,a,25,a)].
% 0.44/0.98
% 0.44/0.98 % SZS output end Refutation
% 0.44/0.98 ============================== end of proof ==========================
% 0.44/0.98
% 0.44/0.98 ============================== STATISTICS ============================
% 0.44/0.98
% 0.44/0.98 Given=0. Generated=10. Kept=10. proofs=1.
% 0.44/0.98 Usable=0. Sos=0. Demods=3. Limbo=9, Disabled=14. Hints=0.
% 0.44/0.98 Megabytes=0.05.
% 0.44/0.98 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.44/0.98
% 0.44/0.98 ============================== end of statistics =====================
% 0.44/0.98
% 0.44/0.98 ============================== end of search =========================
% 0.44/0.98
% 0.44/0.98 THEOREM PROVED
% 0.44/0.98 % SZS status Theorem
% 0.44/0.98
% 0.44/0.98 Exiting with 1 proof.
% 0.44/0.98
% 0.44/0.98 Process 3068 exit (max_proofs) Tue Jun 14 22:03:55 2022
% 0.44/0.98 Prover9 interrupted
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