TSTP Solution File: LCL115-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL115-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Jul 17 13:44:09 EDT 2022
% Result : Unsatisfiable 0.96s 1.24s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL115-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n015.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 : Sat Jul 2 13:23:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.96/1.24 ============================== Prover9 ===============================
% 0.96/1.24 Prover9 (32) version 2009-11A, November 2009.
% 0.96/1.24 Process 13859 was started by sandbox2 on n015.cluster.edu,
% 0.96/1.24 Sat Jul 2 13:23:30 2022
% 0.96/1.24 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13706_n015.cluster.edu".
% 0.96/1.24 ============================== end of head ===========================
% 0.96/1.24
% 0.96/1.24 ============================== INPUT =================================
% 0.96/1.24
% 0.96/1.24 % Reading from file /tmp/Prover9_13706_n015.cluster.edu
% 0.96/1.24
% 0.96/1.24 set(prolog_style_variables).
% 0.96/1.24 set(auto2).
% 0.96/1.24 % set(auto2) -> set(auto).
% 0.96/1.24 % set(auto) -> set(auto_inference).
% 0.96/1.24 % set(auto) -> set(auto_setup).
% 0.96/1.24 % set(auto_setup) -> set(predicate_elim).
% 0.96/1.24 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.96/1.24 % set(auto) -> set(auto_limits).
% 0.96/1.24 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.96/1.24 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.96/1.24 % set(auto) -> set(auto_denials).
% 0.96/1.24 % set(auto) -> set(auto_process).
% 0.96/1.24 % set(auto2) -> assign(new_constants, 1).
% 0.96/1.24 % set(auto2) -> assign(fold_denial_max, 3).
% 0.96/1.24 % set(auto2) -> assign(max_weight, "200.000").
% 0.96/1.24 % set(auto2) -> assign(max_hours, 1).
% 0.96/1.24 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.96/1.24 % set(auto2) -> assign(max_seconds, 0).
% 0.96/1.24 % set(auto2) -> assign(max_minutes, 5).
% 0.96/1.24 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.96/1.24 % set(auto2) -> set(sort_initial_sos).
% 0.96/1.24 % set(auto2) -> assign(sos_limit, -1).
% 0.96/1.24 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.96/1.24 % set(auto2) -> assign(max_megs, 400).
% 0.96/1.24 % set(auto2) -> assign(stats, some).
% 0.96/1.24 % set(auto2) -> clear(echo_input).
% 0.96/1.24 % set(auto2) -> set(quiet).
% 0.96/1.24 % set(auto2) -> clear(print_initial_clauses).
% 0.96/1.24 % set(auto2) -> clear(print_given).
% 0.96/1.24 assign(lrs_ticks,-1).
% 0.96/1.24 assign(sos_limit,10000).
% 0.96/1.24 assign(order,kbo).
% 0.96/1.24 set(lex_order_vars).
% 0.96/1.24 clear(print_given).
% 0.96/1.24
% 0.96/1.24 % formulas(sos). % not echoed (6 formulas)
% 0.96/1.24
% 0.96/1.24 ============================== end of input ==========================
% 0.96/1.24
% 0.96/1.24 % From the command line: assign(max_seconds, 300).
% 0.96/1.24
% 0.96/1.24 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.96/1.24
% 0.96/1.24 % Formulas that are not ordinary clauses:
% 0.96/1.24
% 0.96/1.24 ============================== end of process non-clausal formulas ===
% 0.96/1.24
% 0.96/1.24 ============================== PROCESS INITIAL CLAUSES ===============
% 0.96/1.24
% 0.96/1.24 ============================== PREDICATE ELIMINATION =================
% 0.96/1.24
% 0.96/1.24 ============================== end predicate elimination =============
% 0.96/1.24
% 0.96/1.24 Auto_denials:
% 0.96/1.24 % copying label prove_mv_39 to answer in negative clause
% 0.96/1.24
% 0.96/1.24 Term ordering decisions:
% 0.96/1.24
% 0.96/1.24 % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 0.96/1.24 Function symbol KB weights: a=1. b=1. implies=1. not=0.
% 0.96/1.24
% 0.96/1.24 ============================== end of process initial clauses ========
% 0.96/1.24
% 0.96/1.24 ============================== CLAUSES FOR SEARCH ====================
% 0.96/1.24
% 0.96/1.24 ============================== end of clauses for search =============
% 0.96/1.24
% 0.96/1.24 ============================== SEARCH ================================
% 0.96/1.24
% 0.96/1.24 % Starting search at 0.01 seconds.
% 0.96/1.24
% 0.96/1.24 ============================== PROOF =================================
% 0.96/1.24 % SZS status Unsatisfiable
% 0.96/1.25 % SZS output start Refutation
% 0.96/1.25
% 0.96/1.25 % Proof 1 at 0.22 (+ 0.01) seconds: prove_mv_39.
% 0.96/1.25 % Length of proof is 23.
% 0.96/1.25 % Level of proof is 11.
% 0.96/1.25 % Maximum clause weight is 14.000.
% 0.96/1.25 % Given clauses 156.
% 0.96/1.25
% 0.96/1.25 1 is_a_theorem(implies(A,implies(B,A))) # label(mv_1) # label(axiom). [assumption].
% 0.96/1.25 2 is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))) # label(mv_5) # label(axiom). [assumption].
% 0.96/1.25 3 is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) # label(mv_2) # label(axiom). [assumption].
% 0.96/1.25 4 is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A))) # label(mv_3) # label(axiom). [assumption].
% 0.96/1.25 5 -is_a_theorem(implies(not(implies(a,b)),not(b))) # label(prove_mv_39) # label(negated_conjecture) # answer(prove_mv_39). [assumption].
% 0.96/1.25 6 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 0.96/1.25 9 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(not(B),not(A)),C))). [hyper(6,a,3,a,b,2,a)].
% 0.96/1.25 10 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(6,a,3,a,b,1,a)].
% 0.96/1.25 14 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(6,a,1,a,b,1,a)].
% 0.96/1.25 21 is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)). [hyper(6,a,4,a,b,14,a)].
% 0.96/1.25 27 is_a_theorem(implies(A,implies(implies(A,B),B))). [hyper(6,a,10,a,b,4,a)].
% 0.96/1.25 29 is_a_theorem(implies(not(A),implies(A,B))). [hyper(6,a,10,a,b,2,a)].
% 0.96/1.25 31 is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))). [hyper(6,a,3,a,b,29,a)].
% 0.96/1.25 75 is_a_theorem(implies(A,A)). [hyper(6,a,10,a,b,21,a)].
% 0.96/1.25 80 is_a_theorem(implies(implies(implies(A,A),B),B)). [hyper(6,a,27,a,b,75,a)].
% 0.96/1.25 107 is_a_theorem(implies(implies(not(A),not(implies(B,B))),A)). [hyper(6,a,9,a,b,80,a)].
% 0.96/1.25 351 is_a_theorem(implies(not(not(A)),A)). [hyper(6,a,31,a,b,107,a)].
% 0.96/1.25 395 is_a_theorem(implies(implies(A,B),implies(not(not(A)),B))). [hyper(6,a,3,a,b,351,a)].
% 0.96/1.25 396 is_a_theorem(implies(A,not(not(A)))). [hyper(6,a,2,a,b,351,a)].
% 0.96/1.25 417 is_a_theorem(implies(A,not(not(implies(B,A))))). [hyper(6,a,10,a,b,396,a)].
% 0.96/1.25 1336 is_a_theorem(implies(not(not(A)),not(not(implies(B,A))))). [hyper(6,a,395,a,b,417,a)].
% 0.96/1.25 3830 is_a_theorem(implies(not(implies(A,B)),not(B))). [hyper(6,a,2,a,b,1336,a)].
% 0.96/1.25 3831 $F # answer(prove_mv_39). [resolve(3830,a,5,a)].
% 0.96/1.25
% 0.96/1.25 % SZS output end Refutation
% 0.96/1.25 ============================== end of proof ==========================
% 0.96/1.25
% 0.96/1.25 ============================== STATISTICS ============================
% 0.96/1.25
% 0.96/1.25 Given=156. Generated=12225. Kept=3830. proofs=1.
% 0.96/1.25 Usable=156. Sos=3636. Demods=0. Limbo=24, Disabled=19. Hints=0.
% 0.96/1.25 Megabytes=3.31.
% 0.96/1.25 User_CPU=0.22, System_CPU=0.01, Wall_clock=0.
% 0.96/1.25
% 0.96/1.25 ============================== end of statistics =====================
% 0.96/1.25
% 0.96/1.25 ============================== end of search =========================
% 0.96/1.25
% 0.96/1.25 THEOREM PROVED
% 0.96/1.25 % SZS status Unsatisfiable
% 0.96/1.25
% 0.96/1.25 Exiting with 1 proof.
% 0.96/1.25
% 0.96/1.25 Process 13859 exit (max_proofs) Sat Jul 2 13:23:30 2022
% 0.96/1.25 Prover9 interrupted
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