TSTP Solution File: GRP001-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 11:16:36 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
% 0.11/0.12 % Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 06:14:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.00 ============================== Prover9 ===============================
% 0.44/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.00 Process 20671 was started by sandbox2 on n020.cluster.edu,
% 0.44/1.00 Tue Jun 14 06:14:05 2022
% 0.44/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20518_n020.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_20518_n020.cluster.edu
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% 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 (5 formulas)
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% 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 ===
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% 0.44/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.44/1.00 ============================== PREDICATE ELIMINATION =================
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% 0.44/1.00 ============================== end predicate elimination =============
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% 0.44/1.00 Auto_denials:
% 0.44/1.00 % copying label prove_b_times_a_is_c to answer in negative clause
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% 0.44/1.00 Term ordering decisions:
% 0.44/1.00 Function symbol KB weights: identity=1. a=1. b=1. c=1. multiply=1.
% 0.44/1.00
% 0.44/1.00 ============================== end of process initial clauses ========
% 0.44/1.00
% 0.44/1.00 ============================== CLAUSES FOR SEARCH ====================
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% 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_b_times_a_is_c.
% 0.44/1.00 % Length of proof is 16.
% 0.44/1.00 % Level of proof is 6.
% 0.44/1.00 % Maximum clause weight is 11.000.
% 0.44/1.00 % Given clauses 11.
% 0.44/1.00
% 0.44/1.00 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 0.44/1.00 2 multiply(A,A) = identity # label(squareness) # label(hypothesis). [assumption].
% 0.44/1.00 3 multiply(a,b) = c # label(a_times_b_is_c) # label(hypothesis). [assumption].
% 0.44/1.00 4 c = multiply(a,b). [copy(3),flip(a)].
% 0.44/1.00 5 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 0.44/1.00 6 multiply(b,a) != c # label(prove_b_times_a_is_c) # label(negated_conjecture) # answer(prove_b_times_a_is_c). [assumption].
% 0.44/1.00 7 multiply(b,a) != multiply(a,b) # answer(prove_b_times_a_is_c). [copy(6),rewrite([4(4)])].
% 0.44/1.00 8 multiply(b,a) = c_0. [new_symbol(7)].
% 0.44/1.00 9 multiply(a,b) != c_0 # answer(prove_b_times_a_is_c). [back_rewrite(7),rewrite([8(3)]),flip(a)].
% 0.44/1.00 10 multiply(A,multiply(B,multiply(A,B))) = identity. [para(5(a,1),2(a,1))].
% 0.44/1.00 11 multiply(A,multiply(A,B)) = B. [para(2(a,1),5(a,1,1)),rewrite([1(2)]),flip(a)].
% 0.44/1.00 15 multiply(A,identity) = A. [para(2(a,1),11(a,1,2))].
% 0.44/1.00 17 multiply(A,multiply(B,A)) = B. [para(10(a,1),11(a,1,2)),rewrite([15(2)]),flip(a)].
% 0.44/1.00 23 multiply(A,B) = multiply(B,A). [para(17(a,1),11(a,1,2))].
% 0.44/1.00 26 multiply(a,b) = c_0. [back_rewrite(8),rewrite([23(3)])].
% 0.44/1.00 27 $F # answer(prove_b_times_a_is_c). [resolve(26,a,9,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=11. Generated=95. Kept=24. proofs=1.
% 0.44/1.00 Usable=8. Sos=2. Demods=12. Limbo=3, Disabled=15. Hints=0.
% 0.44/1.00 Megabytes=0.03.
% 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 20671 exit (max_proofs) Tue Jun 14 06:14:05 2022
% 0.44/1.00 Prover9 interrupted
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