TSTP Solution File: BOO021-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 14 23:48:03 EDT 2022
% Result : Unsatisfiable 0.52s 0.82s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 1 22:50:45 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.52/0.82 ============================== Prover9 ===============================
% 0.52/0.82 Prover9 (32) version 2009-11A, November 2009.
% 0.52/0.82 Process 3003 was started by sandbox on n032.cluster.edu,
% 0.52/0.82 Wed Jun 1 22:50:45 2022
% 0.52/0.82 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2850_n032.cluster.edu".
% 0.52/0.82 ============================== end of head ===========================
% 0.52/0.82
% 0.52/0.82 ============================== INPUT =================================
% 0.52/0.82
% 0.52/0.82 % Reading from file /tmp/Prover9_2850_n032.cluster.edu
% 0.52/0.82
% 0.52/0.82 set(prolog_style_variables).
% 0.52/0.82 set(auto2).
% 0.52/0.82 % set(auto2) -> set(auto).
% 0.52/0.82 % set(auto) -> set(auto_inference).
% 0.52/0.82 % set(auto) -> set(auto_setup).
% 0.52/0.82 % set(auto_setup) -> set(predicate_elim).
% 0.52/0.82 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.52/0.82 % set(auto) -> set(auto_limits).
% 0.52/0.82 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.52/0.82 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.52/0.82 % set(auto) -> set(auto_denials).
% 0.52/0.82 % set(auto) -> set(auto_process).
% 0.52/0.82 % set(auto2) -> assign(new_constants, 1).
% 0.52/0.82 % set(auto2) -> assign(fold_denial_max, 3).
% 0.52/0.82 % set(auto2) -> assign(max_weight, "200.000").
% 0.52/0.82 % set(auto2) -> assign(max_hours, 1).
% 0.52/0.82 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.52/0.82 % set(auto2) -> assign(max_seconds, 0).
% 0.52/0.82 % set(auto2) -> assign(max_minutes, 5).
% 0.52/0.82 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.52/0.82 % set(auto2) -> set(sort_initial_sos).
% 0.52/0.82 % set(auto2) -> assign(sos_limit, -1).
% 0.52/0.82 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.52/0.82 % set(auto2) -> assign(max_megs, 400).
% 0.52/0.82 % set(auto2) -> assign(stats, some).
% 0.52/0.82 % set(auto2) -> clear(echo_input).
% 0.52/0.82 % set(auto2) -> set(quiet).
% 0.52/0.82 % set(auto2) -> clear(print_initial_clauses).
% 0.52/0.82 % set(auto2) -> clear(print_given).
% 0.52/0.82 assign(lrs_ticks,-1).
% 0.52/0.82 assign(sos_limit,10000).
% 0.52/0.82 assign(order,kbo).
% 0.52/0.82 set(lex_order_vars).
% 0.52/0.82 clear(print_given).
% 0.52/0.82
% 0.52/0.82 % formulas(sos). % not echoed (7 formulas)
% 0.52/0.82
% 0.52/0.82 ============================== end of input ==========================
% 0.52/0.82
% 0.52/0.82 % From the command line: assign(max_seconds, 300).
% 0.52/0.82
% 0.52/0.82 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.52/0.82
% 0.52/0.82 % Formulas that are not ordinary clauses:
% 0.52/0.82
% 0.52/0.82 ============================== end of process non-clausal formulas ===
% 0.52/0.82
% 0.52/0.82 ============================== PROCESS INITIAL CLAUSES ===============
% 0.52/0.82
% 0.52/0.82 ============================== PREDICATE ELIMINATION =================
% 0.52/0.82
% 0.52/0.82 ============================== end predicate elimination =============
% 0.52/0.82
% 0.52/0.82 Auto_denials:
% 0.52/0.82 % copying label prove_commutativity_of_multiply to answer in negative clause
% 0.52/0.82
% 0.52/0.82 Term ordering decisions:
% 0.52/0.82
% 0.52/0.82 % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 0.52/0.82 Function symbol KB weights: n0=1. n1=1. a=1. b=1. add=1. multiply=1. inverse=0.
% 0.52/0.82
% 0.52/0.82 ============================== end of process initial clauses ========
% 0.52/0.82
% 0.52/0.82 ============================== CLAUSES FOR SEARCH ====================
% 0.52/0.82
% 0.52/0.82 ============================== end of clauses for search =============
% 0.52/0.82
% 0.52/0.82 ============================== SEARCH ================================
% 0.52/0.82
% 0.52/0.82 % Starting search at 0.01 seconds.
% 0.52/0.82
% 0.52/0.82 ============================== PROOF =================================
% 0.52/0.82 % SZS status Unsatisfiable
% 0.52/0.82 % SZS output start Refutation
% 0.52/0.82
% 0.52/0.82 % Proof 1 at 0.02 (+ 0.00) seconds: prove_commutativity_of_multiply.
% 0.52/0.82 % Length of proof is 11.
% 0.52/0.82 % Level of proof is 4.
% 0.52/0.82 % Maximum clause weight is 13.000.
% 0.52/0.82 % Given clauses 12.
% 0.52/0.82
% 0.52/0.82 3 multiply(add(A,B),B) = B # label(multiply_add) # label(axiom). [assumption].
% 0.52/0.82 4 add(multiply(A,B),B) = B # label(add_multiply) # label(axiom). [assumption].
% 0.52/0.82 5 multiply(A,add(B,C)) = add(multiply(B,A),multiply(C,A)) # label(multiply_add_property) # label(axiom). [assumption].
% 0.52/0.82 6 add(multiply(A,B),multiply(C,B)) = multiply(B,add(A,C)). [copy(5),flip(a)].
% 0.52/0.82 9 multiply(b,a) != multiply(a,b) # label(prove_commutativity_of_multiply) # label(negated_conjecture) # answer(prove_commutativity_of_multiply). [assumption].
% 0.52/0.82 10 multiply(b,a) = c_0. [new_symbol(9)].
% 0.52/0.82 11 multiply(a,b) != c_0 # answer(prove_commutativity_of_multiply). [back_rewrite(9),rewrite([10(3)]),flip(a)].
% 0.52/0.82 15 add(A,A) = A. [para(3(a,1),4(a,1,1))].
% 0.52/0.82 60 multiply(A,B) = multiply(B,A). [para(15(a,1),6(a,1)),rewrite([15(2)])].
% 0.52/0.82 70 multiply(a,b) = c_0. [back_rewrite(10),rewrite([60(3)])].
% 0.52/0.82 71 $F # answer(prove_commutativity_of_multiply). [resolve(70,a,11,a)].
% 0.52/0.82
% 0.52/0.82 % SZS output end Refutation
% 0.52/0.82 ============================== end of proof ==========================
% 0.52/0.82
% 0.52/0.82 ============================== STATISTICS ============================
% 0.52/0.82
% 0.52/0.82 Given=12. Generated=107. Kept=68. proofs=1.
% 0.52/0.82 Usable=9. Sos=12. Demods=28. Limbo=10, Disabled=43. Hints=0.
% 0.52/0.82 Megabytes=0.07.
% 0.52/0.82 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.52/0.82
% 0.52/0.82 ============================== end of statistics =====================
% 0.52/0.82
% 0.52/0.82 ============================== end of search =========================
% 0.52/0.82
% 0.52/0.82 THEOREM PROVED
% 0.52/0.82 % SZS status Unsatisfiable
% 0.52/0.82
% 0.52/0.82 Exiting with 1 proof.
% 0.52/0.82
% 0.52/0.82 Process 3003 exit (max_proofs) Wed Jun 1 22:50:45 2022
% 0.52/0.82 Prover9 interrupted
%------------------------------------------------------------------------------