TSTP Solution File: GRP523-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP523-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 11:19:27 EDT 2022
% Result : Unsatisfiable 0.44s 0.99s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP523-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n025.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 : Tue Jun 14 10:03:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/0.99 ============================== Prover9 ===============================
% 0.44/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.44/0.99 Process 32421 was started by sandbox on n025.cluster.edu,
% 0.44/0.99 Tue Jun 14 10:03:10 2022
% 0.44/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32268_n025.cluster.edu".
% 0.44/0.99 ============================== end of head ===========================
% 0.44/0.99
% 0.44/0.99 ============================== INPUT =================================
% 0.44/0.99
% 0.44/0.99 % Reading from file /tmp/Prover9_32268_n025.cluster.edu
% 0.44/0.99
% 0.44/0.99 set(prolog_style_variables).
% 0.44/0.99 set(auto2).
% 0.44/0.99 % set(auto2) -> set(auto).
% 0.44/0.99 % set(auto) -> set(auto_inference).
% 0.44/0.99 % set(auto) -> set(auto_setup).
% 0.44/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.44/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/0.99 % set(auto) -> set(auto_limits).
% 0.44/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/0.99 % set(auto) -> set(auto_denials).
% 0.44/0.99 % set(auto) -> set(auto_process).
% 0.44/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.44/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.44/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.44/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.44/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.44/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.44/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.44/0.99 % set(auto2) -> assign(stats, some).
% 0.44/0.99 % set(auto2) -> clear(echo_input).
% 0.44/0.99 % set(auto2) -> set(quiet).
% 0.44/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.44/0.99 % set(auto2) -> clear(print_given).
% 0.44/0.99 assign(lrs_ticks,-1).
% 0.44/0.99 assign(sos_limit,10000).
% 0.44/0.99 assign(order,kbo).
% 0.44/0.99 set(lex_order_vars).
% 0.44/0.99 clear(print_given).
% 0.44/0.99
% 0.44/0.99 % formulas(sos). % not echoed (4 formulas)
% 0.44/0.99
% 0.44/0.99 ============================== end of input ==========================
% 0.44/0.99
% 0.44/0.99 % From the command line: assign(max_seconds, 300).
% 0.44/0.99
% 0.44/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/0.99
% 0.44/0.99 % Formulas that are not ordinary clauses:
% 0.44/0.99
% 0.44/0.99 ============================== end of process non-clausal formulas ===
% 0.44/0.99
% 0.44/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/0.99
% 0.44/0.99 ============================== PREDICATE ELIMINATION =================
% 0.44/0.99
% 0.44/0.99 ============================== end predicate elimination =============
% 0.44/0.99
% 0.44/0.99 Auto_denials:
% 0.44/0.99 % copying label prove_these_axioms_3 to answer in negative clause
% 0.44/0.99
% 0.44/0.99 Term ordering decisions:
% 0.44/0.99
% 0.44/0.99 % Assigning unary symbol inverse kb_weight 0 and highest precedence (7).
% 0.44/0.99 Function symbol KB weights: a3=1. b3=1. c3=1. divide=1. multiply=1. inverse=0.
% 0.44/0.99
% 0.44/0.99 ============================== end of process initial clauses ========
% 0.44/0.99
% 0.44/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.44/0.99
% 0.44/0.99 ============================== end of clauses for search =============
% 0.44/0.99
% 0.44/0.99 ============================== SEARCH ================================
% 0.44/0.99
% 0.44/0.99 % Starting search at 0.01 seconds.
% 0.44/0.99
% 0.44/0.99 ============================== PROOF =================================
% 0.44/0.99 % SZS status Unsatisfiable
% 0.44/0.99 % SZS output start Refutation
% 0.44/0.99
% 0.44/0.99 % Proof 1 at 0.01 (+ 0.00) seconds: prove_these_axioms_3.
% 0.44/0.99 % Length of proof is 38.
% 0.44/0.99 % Level of proof is 13.
% 0.44/0.99 % Maximum clause weight is 15.000.
% 0.44/0.99 % Given clauses 29.
% 0.44/0.99
% 0.44/0.99 1 inverse(A) = divide(divide(B,B),A) # label(inverse) # label(axiom). [assumption].
% 0.44/0.99 2 divide(divide(A,A),B) = inverse(B). [copy(1),flip(a)].
% 0.44/0.99 3 divide(A,divide(B,divide(C,divide(A,B)))) = C # label(single_axiom) # label(axiom). [assumption].
% 0.44/0.99 4 multiply(A,B) = divide(A,divide(divide(C,C),B)) # label(multiply) # label(axiom). [assumption].
% 0.44/0.99 5 multiply(A,B) = divide(A,inverse(B)). [copy(4),rewrite([2(3)])].
% 0.44/0.99 6 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # label(prove_these_axioms_3) # label(negated_conjecture) # answer(prove_these_axioms_3). [assumption].
% 0.44/0.99 7 divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) # answer(prove_these_axioms_3). [copy(6),rewrite([5(3),5(6),5(11),5(13)])].
% 0.44/0.99 8 divide(inverse(divide(A,A)),B) = inverse(B). [para(2(a,1),2(a,1,1))].
% 0.44/0.99 9 inverse(divide(A,divide(B,inverse(A)))) = B. [para(3(a,1),2(a,1)),rewrite([2(2)]),flip(a)].
% 0.44/0.99 11 divide(A,inverse(divide(B,divide(A,divide(C,C))))) = B. [para(2(a,1),3(a,1,2))].
% 0.44/0.99 18 inverse(divide(A,inverse(inverse(A)))) = divide(B,B). [para(2(a,1),9(a,1,1,2))].
% 0.44/0.99 19 inverse(inverse(divide(A,inverse(divide(B,B))))) = A. [para(2(a,1),9(a,1,1))].
% 0.44/0.99 20 inverse(divide(A,inverse(inverse(A)))) = inverse(divide(B,B)). [para(8(a,1),9(a,1,1,2))].
% 0.44/0.99 23 inverse(divide(A,inverse(inverse(A)))) = c_0. [new_symbol(18)].
% 0.44/0.99 24 inverse(divide(A,A)) = c_0. [back_rewrite(20),rewrite([23(4)]),flip(a)].
% 0.44/0.99 25 divide(A,A) = c_0. [back_rewrite(18),rewrite([23(4)]),flip(a)].
% 0.44/0.99 27 inverse(inverse(divide(A,inverse(c_0)))) = A. [back_rewrite(19),rewrite([25(1)])].
% 0.44/0.99 33 inverse(c_0) = c_0. [back_rewrite(24),rewrite([25(1)])].
% 0.44/0.99 34 divide(A,inverse(divide(B,divide(A,c_0)))) = B. [back_rewrite(11),rewrite([25(1)])].
% 0.44/0.99 37 inverse(inverse(divide(A,c_0))) = A. [back_rewrite(27),rewrite([33(2)])].
% 0.44/0.99 38 divide(A,divide(A,divide(B,c_0))) = B. [para(25(a,1),3(a,1,2,2,2))].
% 0.44/0.99 39 divide(A,divide(B,c_0)) = divide(A,B). [para(25(a,1),3(a,1,2,2))].
% 0.44/0.99 40 inverse(divide(A,c_0)) = inverse(A). [para(25(a,1),9(a,1,1,2))].
% 0.44/0.99 41 divide(A,divide(A,B)) = B. [back_rewrite(38),rewrite([39(3)])].
% 0.44/0.99 42 divide(A,inverse(divide(B,A))) = B. [back_rewrite(34),rewrite([39(3)])].
% 0.44/0.99 43 inverse(inverse(A)) = A. [back_rewrite(37),rewrite([40(3)])].
% 0.44/0.99 45 divide(A,divide(B,inverse(A))) = inverse(B). [para(9(a,1),43(a,1,1)),flip(a)].
% 0.44/0.99 59 divide(A,divide(B,divide(C,A))) = divide(C,B). [para(3(a,1),41(a,1,2)),flip(a)].
% 0.44/0.99 70 inverse(divide(A,B)) = divide(B,A). [para(42(a,1),41(a,1,2)),flip(a)].
% 0.44/0.99 72 divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)) # answer(prove_these_axioms_3). [back_rewrite(7),rewrite([70(13)])].
% 0.44/0.99 73 divide(divide(A,B),A) = inverse(B). [para(41(a,1),70(a,1,1)),flip(a)].
% 0.44/0.99 79 divide(A,inverse(B)) = divide(B,inverse(A)). [para(45(a,1),41(a,1,2))].
% 0.44/0.99 81 divide(inverse(A),B) = divide(inverse(B),A). [para(45(a,1),73(a,1,1)),rewrite([70(5)])].
% 0.44/0.99 82 divide(c3,divide(inverse(a3),b3)) != divide(a3,divide(inverse(b3),c3)) # answer(prove_these_axioms_3). [back_rewrite(72),rewrite([79(7),70(6),81(5),81(11)])].
% 0.44/0.99 85 divide(A,divide(B,C)) = divide(C,divide(B,A)). [para(59(a,1),41(a,1,2))].
% 0.44/0.99 91 divide(b3,divide(inverse(a3),c3)) != divide(a3,divide(inverse(b3),c3)) # answer(prove_these_axioms_3). [back_rewrite(82),rewrite([85(6)])].
% 0.44/0.99 93 divide(A,divide(inverse(B),C)) = divide(B,divide(inverse(A),C)). [para(81(a,1),85(a,1,2)),rewrite([81(5)])].
% 0.44/0.99 94 $F # answer(prove_these_axioms_3). [resolve(93,a,91,a)].
% 0.44/0.99
% 0.44/0.99 % SZS output end Refutation
% 0.44/0.99 ============================== end of proof ==========================
% 0.44/0.99
% 0.44/0.99 ============================== STATISTICS ============================
% 0.44/0.99
% 0.44/0.99 Given=29. Generated=452. Kept=90. proofs=1.
% 0.44/0.99 Usable=13. Sos=5. Demods=17. Limbo=0, Disabled=75. Hints=0.
% 0.44/0.99 Megabytes=0.08.
% 0.44/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.44/0.99
% 0.44/0.99 ============================== end of statistics =====================
% 0.44/0.99
% 0.44/0.99 ============================== end of search =========================
% 0.44/0.99
% 0.44/0.99 THEOREM PROVED
% 0.44/0.99 % SZS status Unsatisfiable
% 0.44/0.99
% 0.44/0.99 Exiting with 1 proof.
% 0.44/0.99
% 0.44/0.99 Process 32421 exit (max_proofs) Tue Jun 14 10:03:10 2022
% 0.44/0.99 Prover9 interrupted
%------------------------------------------------------------------------------