TSTP Solution File: HEN008-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 13:00:53 EDT 2022
% Result : Unsatisfiable 0.43s 0.99s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % 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 : Fri Jul 1 13:14:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/0.99 ============================== Prover9 ===============================
% 0.43/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.99 Process 23600 was started by sandbox on n028.cluster.edu,
% 0.43/0.99 Fri Jul 1 13:14:46 2022
% 0.43/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23446_n028.cluster.edu".
% 0.43/0.99 ============================== end of head ===========================
% 0.43/0.99
% 0.43/0.99 ============================== INPUT =================================
% 0.43/0.99
% 0.43/0.99 % Reading from file /tmp/Prover9_23446_n028.cluster.edu
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% 0.43/0.99 set(prolog_style_variables).
% 0.43/0.99 set(auto2).
% 0.43/0.99 % set(auto2) -> set(auto).
% 0.43/0.99 % set(auto) -> set(auto_inference).
% 0.43/0.99 % set(auto) -> set(auto_setup).
% 0.43/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.99 % set(auto) -> set(auto_limits).
% 0.43/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.99 % set(auto) -> set(auto_denials).
% 0.43/0.99 % set(auto) -> set(auto_process).
% 0.43/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.99 % set(auto2) -> assign(stats, some).
% 0.43/0.99 % set(auto2) -> clear(echo_input).
% 0.43/0.99 % set(auto2) -> set(quiet).
% 0.43/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.99 % set(auto2) -> clear(print_given).
% 0.43/0.99 assign(lrs_ticks,-1).
% 0.43/0.99 assign(sos_limit,10000).
% 0.43/0.99 assign(order,kbo).
% 0.43/0.99 set(lex_order_vars).
% 0.43/0.99 clear(print_given).
% 0.43/0.99
% 0.43/0.99 % formulas(sos). % not echoed (9 formulas)
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% 0.43/0.99 ============================== end of input ==========================
% 0.43/0.99
% 0.43/0.99 % From the command line: assign(max_seconds, 300).
% 0.43/0.99
% 0.43/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.99
% 0.43/0.99 % Formulas that are not ordinary clauses:
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% 0.43/0.99 ============================== end of process non-clausal formulas ===
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% 0.43/0.99 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.43/0.99 ============================== PREDICATE ELIMINATION =================
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% 0.43/0.99 ============================== end predicate elimination =============
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% 0.43/0.99 Auto_denials:
% 0.43/0.99 % copying label prove_a_divide_c_LE_b_divide_c to answer in negative clause
% 0.43/0.99
% 0.43/0.99 Term ordering decisions:
% 0.43/0.99 Function symbol KB weights: zero=1. a=1. b=1. identity=1. c=1. divide=1.
% 0.43/0.99
% 0.43/0.99 ============================== end of process initial clauses ========
% 0.43/0.99
% 0.43/0.99 ============================== CLAUSES FOR SEARCH ====================
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% 0.43/0.99 ============================== end of clauses for search =============
% 0.43/0.99
% 0.43/0.99 ============================== SEARCH ================================
% 0.43/0.99
% 0.43/0.99 % Starting search at 0.01 seconds.
% 0.43/0.99
% 0.43/0.99 ============================== PROOF =================================
% 0.43/0.99 % SZS status Unsatisfiable
% 0.43/0.99 % SZS output start Refutation
% 0.43/0.99
% 0.43/0.99 % Proof 1 at 0.01 (+ 0.00) seconds: prove_a_divide_c_LE_b_divide_c.
% 0.43/0.99 % Length of proof is 13.
% 0.43/0.99 % Level of proof is 3.
% 0.43/0.99 % Maximum clause weight is 13.000.
% 0.43/0.99 % Given clauses 15.
% 0.43/0.99
% 0.43/0.99 1 less_equal(zero,A) # label(zero_is_smallest) # label(axiom). [assumption].
% 0.43/0.99 3 less_equal(a,b) # label(a_LE_b) # label(hypothesis). [assumption].
% 0.43/0.99 5 less_equal(divide(divide(A,B),divide(C,B)),divide(divide(A,C),B)) # label(quotient_property) # label(axiom). [assumption].
% 0.43/0.99 6 -less_equal(divide(a,c),divide(b,c)) # label(prove_a_divide_c_LE_b_divide_c) # label(negated_conjecture) # answer(prove_a_divide_c_LE_b_divide_c). [assumption].
% 0.43/0.99 7 -less_equal(A,B) | divide(A,B) = zero # label(quotient_less_equal1) # label(axiom). [assumption].
% 0.43/0.99 8 divide(A,B) != zero | less_equal(A,B) # label(quotient_less_equal2) # label(axiom). [assumption].
% 0.43/0.99 9 -less_equal(A,B) | -less_equal(B,A) | A = B # label(less_equal_and_equal) # label(axiom). [assumption].
% 0.43/0.99 12 divide(a,b) = zero. [hyper(7,a,3,a)].
% 0.43/0.99 14 divide(zero,A) = zero. [hyper(7,a,1,a)].
% 0.43/0.99 15 divide(divide(a,c),divide(b,c)) != zero # answer(prove_a_divide_c_LE_b_divide_c). [ur(8,b,6,a)].
% 0.43/0.99 22 -less_equal(divide(divide(a,c),divide(b,c)),zero) # answer(prove_a_divide_c_LE_b_divide_c). [ur(9,b,1,a,c,15,a)].
% 0.43/0.99 27 less_equal(divide(divide(a,A),divide(b,A)),zero). [para(12(a,1),5(a,2,1)),rewrite([14(7)])].
% 0.43/0.99 28 $F # answer(prove_a_divide_c_LE_b_divide_c). [resolve(27,a,22,a)].
% 0.43/0.99
% 0.43/0.99 % SZS output end Refutation
% 0.43/0.99 ============================== end of proof ==========================
% 0.43/0.99
% 0.43/0.99 ============================== STATISTICS ============================
% 0.43/0.99
% 0.43/0.99 Given=15. Generated=48. Kept=27. proofs=1.
% 0.43/0.99 Usable=15. Sos=10. Demods=8. Limbo=1, Disabled=9. Hints=0.
% 0.43/0.99 Megabytes=0.06.
% 0.43/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.99
% 0.43/0.99 ============================== end of statistics =====================
% 0.43/0.99
% 0.43/0.99 ============================== end of search =========================
% 0.43/0.99
% 0.43/0.99 THEOREM PROVED
% 0.43/0.99 % SZS status Unsatisfiable
% 0.43/0.99
% 0.43/0.99 Exiting with 1 proof.
% 0.43/0.99
% 0.43/0.99 Process 23600 exit (max_proofs) Fri Jul 1 13:14:46 2022
% 0.43/0.99 Prover9 interrupted
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