TSTP Solution File: SYO691-1.000 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 : Thu Jul 21 19:18:03 EDT 2022
% Result : Unsatisfiable 0.44s 1.00s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 18:56:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.00 ============================== Prover9 ===============================
% 0.44/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.00 Process 14084 was started by sandbox on n006.cluster.edu,
% 0.44/1.00 Fri Jul 8 18:56:37 2022
% 0.44/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13708_n006.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_13708_n006.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:
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% 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 1 -top(A,B) | step(A,B) # label(rewrite_top) # label(axiom). [assumption].
% 0.44/1.00 2 top(f(f(A,B),f(C,a)),f(f(C,f(B,a)),A)) # label(rule_1) # label(axiom). [assumption].
% 0.44/1.00 Derived: step(f(f(A,B),f(C,a)),f(f(C,f(B,a)),A)). [resolve(1,a,2,a)].
% 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 prove to answer in negative clause
% 0.44/1.00
% 0.44/1.00 Term ordering decisions:
% 0.44/1.00
% 0.44/1.00 % Assigning unary symbol succ kb_weight 0 and highest precedence (6).
% 0.44/1.00 Function symbol KB weights: a=1. zero=1. f=1. succ=0.
% 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: prove.
% 0.44/1.00 % Length of proof is 15.
% 0.44/1.00 % Level of proof is 4.
% 0.44/1.00 % Maximum clause weight is 30.000.
% 0.44/1.00 % Given clauses 13.
% 0.44/1.00
% 0.44/1.00 1 -top(A,B) | step(A,B) # label(rewrite_top) # label(axiom). [assumption].
% 0.44/1.00 2 top(f(f(A,B),f(C,a)),f(f(C,f(B,a)),A)) # label(rule_1) # label(axiom). [assumption].
% 0.44/1.00 3 seq(zero,A,A) # label(rewrite_sequence_zero) # label(axiom). [assumption].
% 0.44/1.00 4 -seq(succ(succ(succ(zero))),A,A) # label(prove) # label(negated_conjecture) # answer(prove). [assumption].
% 0.44/1.00 5 -step(A,B) | step(f(A,C),f(B,C)) # label(rewrite_left) # label(axiom). [assumption].
% 0.44/1.00 6 -step(A,B) | step(f(C,A),f(C,B)) # label(rewrite_right) # label(axiom). [assumption].
% 0.44/1.00 7 -seq(A,B,C) | -step(C,D) | seq(succ(A),B,D) # label(rewrite_sequence_succ) # label(axiom). [assumption].
% 0.44/1.00 8 step(f(f(A,B),f(C,a)),f(f(C,f(B,a)),A)). [resolve(1,a,2,a)].
% 0.44/1.00 9 -seq(succ(succ(zero)),A,B) | -step(B,A) # answer(prove). [resolve(7,c,4,a)].
% 0.44/1.00 10 seq(succ(zero),f(f(A,B),f(C,a)),f(f(C,f(B,a)),A)). [ur(7,a,3,a,b,8,a)].
% 0.44/1.00 11 step(f(A,f(f(B,C),f(D,a))),f(A,f(f(D,f(C,a)),B))). [ur(6,a,8,a)].
% 0.44/1.00 16 -seq(succ(succ(zero)),f(A,B),f(C,B)) | -step(C,A) # answer(prove). [resolve(9,b,5,b)].
% 0.44/1.00 28 -seq(succ(succ(zero)),f(f(f(A,f(B,a)),C),D),f(f(f(C,B),f(A,a)),D)) # answer(prove). [resolve(16,b,8,a)].
% 0.44/1.00 52 seq(succ(succ(zero)),f(f(f(f(A,B),f(C,a)),D),f(E,a)),f(f(E,f(D,a)),f(f(C,f(B,a)),A))). [ur(7,a,10,a,b,11,a)].
% 0.44/1.00 53 $F # answer(prove). [resolve(52,a,28,a)].
% 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=13. Generated=61. Kept=50. proofs=1.
% 0.44/1.00 Usable=13. Sos=29. Demods=0. Limbo=7, Disabled=8. Hints=0.
% 0.44/1.00 Megabytes=0.08.
% 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 14084 exit (max_proofs) Fri Jul 8 18:56:37 2022
% 0.44/1.00 Prover9 interrupted
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