TSTP Solution File: RNG020-7 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 : Mon Jul 18 20:39:12 EDT 2022
% Result : Unsatisfiable 0.68s 1.00s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n027.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 : Mon May 30 07:51:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/1.00 ============================== Prover9 ===============================
% 0.68/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.68/1.00 Process 7544 was started by sandbox on n027.cluster.edu,
% 0.68/1.00 Mon May 30 07:51:16 2022
% 0.68/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_7391_n027.cluster.edu".
% 0.68/1.00 ============================== end of head ===========================
% 0.68/1.00
% 0.68/1.00 ============================== INPUT =================================
% 0.68/1.00
% 0.68/1.00 % Reading from file /tmp/Prover9_7391_n027.cluster.edu
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% 0.68/1.00 set(prolog_style_variables).
% 0.68/1.00 set(auto2).
% 0.68/1.00 % set(auto2) -> set(auto).
% 0.68/1.00 % set(auto) -> set(auto_inference).
% 0.68/1.00 % set(auto) -> set(auto_setup).
% 0.68/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.68/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/1.00 % set(auto) -> set(auto_limits).
% 0.68/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/1.00 % set(auto) -> set(auto_denials).
% 0.68/1.00 % set(auto) -> set(auto_process).
% 0.68/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.68/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.68/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.68/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.68/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.68/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.68/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.68/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.68/1.00 % set(auto2) -> assign(stats, some).
% 0.68/1.00 % set(auto2) -> clear(echo_input).
% 0.68/1.00 % set(auto2) -> set(quiet).
% 0.68/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.68/1.00 % set(auto2) -> clear(print_given).
% 0.68/1.00 assign(lrs_ticks,-1).
% 0.68/1.00 assign(sos_limit,10000).
% 0.68/1.00 assign(order,kbo).
% 0.68/1.00 set(lex_order_vars).
% 0.68/1.00 clear(print_given).
% 0.68/1.00
% 0.68/1.00 % formulas(sos). % not echoed (23 formulas)
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% 0.68/1.00 ============================== end of input ==========================
% 0.68/1.00
% 0.68/1.00 % From the command line: assign(max_seconds, 300).
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% 0.68/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/1.00
% 0.68/1.00 % Formulas that are not ordinary clauses:
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% 0.68/1.00 ============================== end of process non-clausal formulas ===
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% 0.68/1.00 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.68/1.00 ============================== PREDICATE ELIMINATION =================
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% 0.68/1.00 ============================== end predicate elimination =============
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% 0.68/1.00 Auto_denials:
% 0.68/1.00 % copying label prove_linearised_form2 to answer in negative clause
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% 0.68/1.00 Term ordering decisions:
% 0.68/1.00
% 0.68/1.00 % Assigning unary symbol additive_inverse kb_weight 0 and highest precedence (11).
% 0.68/1.00 Function symbol KB weights: additive_identity=1. u=1. v=1. x=1. y=1. multiply=1. add=1. commutator=1. associator=1. additive_inverse=0.
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% 0.68/1.00 ============================== end of process initial clauses ========
% 0.68/1.00
% 0.68/1.00 ============================== CLAUSES FOR SEARCH ====================
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% 0.68/1.00 ============================== end of clauses for search =============
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% 0.68/1.00 ============================== SEARCH ================================
% 0.68/1.00
% 0.68/1.00 % Starting search at 0.01 seconds.
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% 0.68/1.00 ============================== PROOF =================================
% 0.68/1.00 % SZS status Unsatisfiable
% 0.68/1.00 % SZS output start Refutation
% 0.68/1.00
% 0.68/1.00 % Proof 1 at 0.02 (+ 0.00) seconds: prove_linearised_form2.
% 0.68/1.00 % Length of proof is 16.
% 0.68/1.00 % Level of proof is 5.
% 0.68/1.00 % Maximum clause weight is 38.000.
% 0.68/1.00 % Given clauses 17.
% 0.68/1.00
% 0.68/1.00 8 add(A,B) = add(B,A) # label(commutativity_for_addition) # label(axiom). [assumption].
% 0.68/1.00 10 multiply(additive_inverse(A),B) = additive_inverse(multiply(A,B)) # label(inverse_product1) # label(axiom). [assumption].
% 0.68/1.00 11 additive_inverse(multiply(A,B)) = multiply(additive_inverse(A),B). [copy(10),flip(a)].
% 0.68/1.00 12 multiply(A,additive_inverse(B)) = additive_inverse(multiply(A,B)) # label(inverse_product2) # label(axiom). [assumption].
% 0.68/1.00 13 multiply(additive_inverse(A),B) = multiply(A,additive_inverse(B)). [copy(12),rewrite([11(4)]),flip(a)].
% 0.68/1.00 14 add(A,add(B,C)) = add(add(A,B),C) # label(associativity_for_addition) # label(axiom). [assumption].
% 0.68/1.00 15 add(A,add(B,C)) = add(C,add(A,B)). [copy(14),rewrite([8(4)])].
% 0.68/1.00 20 multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)) # label(distribute1) # label(axiom). [assumption].
% 0.68/1.00 21 add(multiply(A,B),multiply(A,C)) = multiply(A,add(B,C)). [copy(20),flip(a)].
% 0.68/1.00 22 multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)) # label(distribute2) # label(axiom). [assumption].
% 0.68/1.00 23 add(multiply(A,B),multiply(C,B)) = multiply(add(A,C),B). [copy(22),flip(a)].
% 0.68/1.00 30 associator(A,B,C) = add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))) # label(associator) # label(axiom). [assumption].
% 0.68/1.00 31 associator(A,B,C) = add(multiply(A,multiply(B,additive_inverse(C))),multiply(multiply(A,B),C)). [copy(30),rewrite([11(6),13(6),11(5),13(5),8(7)])].
% 0.68/1.00 32 associator(x,add(u,v),y) != add(associator(x,u,y),associator(x,v,y)) # label(prove_linearised_form2) # label(negated_conjecture) # answer(prove_linearised_form2). [assumption].
% 0.68/1.00 33 add(multiply(x,multiply(u,additive_inverse(y))),add(multiply(x,multiply(v,additive_inverse(y))),multiply(multiply(x,add(u,v)),y))) != add(multiply(x,multiply(add(u,v),additive_inverse(y))),multiply(multiply(x,add(u,v)),y)) # answer(prove_linearised_form2). [copy(32),rewrite([31(6),31(20),31(32),15(41),8(40),15(40,R),8(39),15(41,R),8(40),15(40),8(39),15(40,R),8(39),23(39),21(35)]),flip(a)].
% 0.68/1.00 65 $F # answer(prove_linearised_form2). [para(15(a,1),33(a,1)),rewrite([21(20),23(17),8(16)]),xx(a)].
% 0.68/1.00
% 0.68/1.00 % SZS output end Refutation
% 0.68/1.00 ============================== end of proof ==========================
% 0.68/1.00
% 0.68/1.00 ============================== STATISTICS ============================
% 0.68/1.00
% 0.68/1.00 Given=17. Generated=265. Kept=52. proofs=1.
% 0.68/1.00 Usable=17. Sos=29. Demods=43. Limbo=0, Disabled=29. Hints=0.
% 0.68/1.00 Megabytes=0.09.
% 0.68/1.00 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.68/1.00
% 0.68/1.00 ============================== end of statistics =====================
% 0.68/1.00
% 0.68/1.00 ============================== end of search =========================
% 0.68/1.00
% 0.68/1.00 THEOREM PROVED
% 0.68/1.00 % SZS status Unsatisfiable
% 0.68/1.00
% 0.68/1.00 Exiting with 1 proof.
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% 0.68/1.00 Process 7544 exit (max_proofs) Mon May 30 07:51:16 2022
% 0.68/1.00 Prover9 interrupted
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