TSTP Solution File: HEN004-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 13:00:46 EDT 2022
% Result : Unsatisfiable 0.46s 1.00s
% Output : Refutation 0.46s
% 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 : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 14:57:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/1.00 ============================== Prover9 ===============================
% 0.46/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.00 Process 5775 was started by sandbox on n008.cluster.edu,
% 0.46/1.00 Fri Jul 1 14:57:53 2022
% 0.46/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5622_n008.cluster.edu".
% 0.46/1.00 ============================== end of head ===========================
% 0.46/1.00
% 0.46/1.00 ============================== INPUT =================================
% 0.46/1.00
% 0.46/1.00 % Reading from file /tmp/Prover9_5622_n008.cluster.edu
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% 0.46/1.00 set(prolog_style_variables).
% 0.46/1.00 set(auto2).
% 0.46/1.00 % set(auto2) -> set(auto).
% 0.46/1.00 % set(auto) -> set(auto_inference).
% 0.46/1.00 % set(auto) -> set(auto_setup).
% 0.46/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.00 % set(auto) -> set(auto_limits).
% 0.46/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.00 % set(auto) -> set(auto_denials).
% 0.46/1.00 % set(auto) -> set(auto_process).
% 0.46/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.00 % set(auto2) -> assign(stats, some).
% 0.46/1.00 % set(auto2) -> clear(echo_input).
% 0.46/1.00 % set(auto2) -> set(quiet).
% 0.46/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.00 % set(auto2) -> clear(print_given).
% 0.46/1.00 assign(lrs_ticks,-1).
% 0.46/1.00 assign(sos_limit,10000).
% 0.46/1.00 assign(order,kbo).
% 0.46/1.00 set(lex_order_vars).
% 0.46/1.00 clear(print_given).
% 0.46/1.00
% 0.46/1.00 % formulas(sos). % not echoed (11 formulas)
% 0.46/1.00
% 0.46/1.00 ============================== end of input ==========================
% 0.46/1.00
% 0.46/1.00 % From the command line: assign(max_seconds, 300).
% 0.46/1.00
% 0.46/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.00
% 0.46/1.00 % Formulas that are not ordinary clauses:
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% 0.46/1.00 ============================== end of process non-clausal formulas ===
% 0.46/1.00
% 0.46/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.46/1.00 ============================== PREDICATE ELIMINATION =================
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% 0.46/1.00 ============================== end predicate elimination =============
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% 0.46/1.00 Auto_denials:
% 0.46/1.00 % copying label prove_x_divide_zero_is_x to answer in negative clause
% 0.46/1.00
% 0.46/1.00 Term ordering decisions:
% 0.46/1.00 Function symbol KB weights: zero=1. identity=1. a=1. divide=1.
% 0.46/1.00
% 0.46/1.00 ============================== end of process initial clauses ========
% 0.46/1.00
% 0.46/1.00 ============================== CLAUSES FOR SEARCH ====================
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% 0.46/1.00 ============================== end of clauses for search =============
% 0.46/1.00
% 0.46/1.00 ============================== SEARCH ================================
% 0.46/1.00
% 0.46/1.00 % Starting search at 0.01 seconds.
% 0.46/1.00
% 0.46/1.00 ============================== PROOF =================================
% 0.46/1.00 % SZS status Unsatisfiable
% 0.46/1.00 % SZS output start Refutation
% 0.46/1.00
% 0.46/1.00 % Proof 1 at 0.01 (+ 0.00) seconds: prove_x_divide_zero_is_x.
% 0.46/1.00 % Length of proof is 16.
% 0.46/1.00 % Level of proof is 6.
% 0.46/1.00 % Maximum clause weight is 13.000.
% 0.46/1.00 % Given clauses 21.
% 0.46/1.00
% 0.46/1.00 1 less_equal(zero,A) # label(zero_is_smallest) # label(axiom). [assumption].
% 0.46/1.00 3 less_equal(divide(A,B),A) # label(quotient_smaller_than_numerator) # label(axiom). [assumption].
% 0.46/1.00 5 divide(zero,A) = zero # label(zero_divide_anything_is_zero) # label(axiom). [assumption].
% 0.46/1.00 6 divide(A,A) = zero # label(x_divide_x_is_zero) # label(axiom). [assumption].
% 0.46/1.00 7 less_equal(divide(divide(A,B),divide(C,B)),divide(divide(A,C),B)) # label(quotient_property) # label(axiom). [assumption].
% 0.46/1.00 8 divide(a,zero) != a # label(prove_x_divide_zero_is_x) # label(negated_conjecture) # answer(prove_x_divide_zero_is_x). [assumption].
% 0.46/1.00 10 divide(A,B) != zero | less_equal(A,B) # label(quotient_less_equal2) # label(axiom). [assumption].
% 0.46/1.00 11 -less_equal(A,B) | -less_equal(B,A) | A = B # label(less_equal_and_equal) # label(axiom). [assumption].
% 0.46/1.00 13 less_equal(divide(divide(A,B),zero),divide(divide(A,zero),B)). [para(5(a,1),7(a,1,2))].
% 0.46/1.00 19 -less_equal(a,divide(a,zero)) # answer(prove_x_divide_zero_is_x). [ur(11,b,3,a,c,8,a(flip))].
% 0.46/1.00 21 divide(a,divide(a,zero)) != zero # answer(prove_x_divide_zero_is_x). [ur(10,b,19,a)].
% 0.46/1.00 22 -less_equal(divide(a,divide(a,zero)),zero) # answer(prove_x_divide_zero_is_x). [ur(11,b,1,a,c,21,a)].
% 0.46/1.00 23 divide(divide(a,divide(a,zero)),zero) != zero # answer(prove_x_divide_zero_is_x). [ur(10,b,22,a)].
% 0.46/1.00 24 -less_equal(divide(divide(a,divide(a,zero)),zero),zero) # answer(prove_x_divide_zero_is_x). [ur(11,b,1,a,c,23,a)].
% 0.46/1.00 32 less_equal(divide(divide(A,divide(A,zero)),zero),zero). [para(6(a,1),13(a,2))].
% 0.46/1.00 33 $F # answer(prove_x_divide_zero_is_x). [resolve(32,a,24,a)].
% 0.46/1.00
% 0.46/1.00 % SZS output end Refutation
% 0.46/1.00 ============================== end of proof ==========================
% 0.46/1.00
% 0.46/1.00 ============================== STATISTICS ============================
% 0.46/1.00
% 0.46/1.00 Given=21. Generated=132. Kept=32. proofs=1.
% 0.46/1.00 Usable=20. Sos=9. Demods=7. Limbo=1, Disabled=12. Hints=0.
% 0.46/1.00 Megabytes=0.05.
% 0.46/1.00 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.46/1.00
% 0.46/1.00 ============================== end of statistics =====================
% 0.46/1.00
% 0.46/1.00 ============================== end of search =========================
% 0.46/1.00
% 0.46/1.00 THEOREM PROVED
% 0.46/1.00 % SZS status Unsatisfiable
% 0.46/1.00
% 0.46/1.00 Exiting with 1 proof.
% 0.46/1.00
% 0.46/1.00 Process 5775 exit (max_proofs) Fri Jul 1 14:57:53 2022
% 0.46/1.00 Prover9 interrupted
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