TSTP Solution File: BOO017-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : BOO017-1 : 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 : Thu Jul 14 23:48:02 EDT 2022
% Result : Unsatisfiable 0.87s 1.14s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO017-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 18:46:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.14 ============================== Prover9 ===============================
% 0.87/1.14 Prover9 (32) version 2009-11A, November 2009.
% 0.87/1.14 Process 8347 was started by sandbox on n020.cluster.edu,
% 0.87/1.14 Wed Jun 1 18:46:54 2022
% 0.87/1.14 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8194_n020.cluster.edu".
% 0.87/1.14 ============================== end of head ===========================
% 0.87/1.14
% 0.87/1.14 ============================== INPUT =================================
% 0.87/1.14
% 0.87/1.14 % Reading from file /tmp/Prover9_8194_n020.cluster.edu
% 0.87/1.14
% 0.87/1.14 set(prolog_style_variables).
% 0.87/1.14 set(auto2).
% 0.87/1.14 % set(auto2) -> set(auto).
% 0.87/1.14 % set(auto) -> set(auto_inference).
% 0.87/1.14 % set(auto) -> set(auto_setup).
% 0.87/1.14 % set(auto_setup) -> set(predicate_elim).
% 0.87/1.14 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.87/1.14 % set(auto) -> set(auto_limits).
% 0.87/1.14 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.87/1.14 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.87/1.14 % set(auto) -> set(auto_denials).
% 0.87/1.14 % set(auto) -> set(auto_process).
% 0.87/1.14 % set(auto2) -> assign(new_constants, 1).
% 0.87/1.14 % set(auto2) -> assign(fold_denial_max, 3).
% 0.87/1.14 % set(auto2) -> assign(max_weight, "200.000").
% 0.87/1.14 % set(auto2) -> assign(max_hours, 1).
% 0.87/1.14 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.87/1.14 % set(auto2) -> assign(max_seconds, 0).
% 0.87/1.14 % set(auto2) -> assign(max_minutes, 5).
% 0.87/1.14 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.87/1.14 % set(auto2) -> set(sort_initial_sos).
% 0.87/1.14 % set(auto2) -> assign(sos_limit, -1).
% 0.87/1.14 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.87/1.14 % set(auto2) -> assign(max_megs, 400).
% 0.87/1.14 % set(auto2) -> assign(stats, some).
% 0.87/1.14 % set(auto2) -> clear(echo_input).
% 0.87/1.14 % set(auto2) -> set(quiet).
% 0.87/1.14 % set(auto2) -> clear(print_initial_clauses).
% 0.87/1.14 % set(auto2) -> clear(print_given).
% 0.87/1.14 assign(lrs_ticks,-1).
% 0.87/1.14 assign(sos_limit,10000).
% 0.87/1.14 assign(order,kbo).
% 0.87/1.14 set(lex_order_vars).
% 0.87/1.14 clear(print_given).
% 0.87/1.14
% 0.87/1.14 % formulas(sos). % not echoed (24 formulas)
% 0.87/1.14
% 0.87/1.14 ============================== end of input ==========================
% 0.87/1.14
% 0.87/1.14 % From the command line: assign(max_seconds, 300).
% 0.87/1.14
% 0.87/1.14 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.87/1.14
% 0.87/1.14 % Formulas that are not ordinary clauses:
% 0.87/1.14
% 0.87/1.14 ============================== end of process non-clausal formulas ===
% 0.87/1.14
% 0.87/1.14 ============================== PROCESS INITIAL CLAUSES ===============
% 0.87/1.14
% 0.87/1.14 ============================== PREDICATE ELIMINATION =================
% 0.87/1.14
% 0.87/1.14 ============================== end predicate elimination =============
% 0.87/1.14
% 0.87/1.14 Auto_denials:
% 0.87/1.14 % copying label prove_product to answer in negative clause
% 0.87/1.14
% 0.87/1.14 Term ordering decisions:
% 0.87/1.14
% 0.87/1.14 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 0.87/1.14 Function symbol KB weights: additive_identity=1. multiplicative_identity=1. x=1. y=1. z=1. add=1. multiply=1. inverse=0.
% 0.87/1.14
% 0.87/1.14 ============================== end of process initial clauses ========
% 0.87/1.14
% 0.87/1.14 ============================== CLAUSES FOR SEARCH ====================
% 0.87/1.14
% 0.87/1.14 ============================== end of clauses for search =============
% 0.87/1.14
% 0.87/1.14 ============================== SEARCH ================================
% 0.87/1.14
% 0.87/1.14 % Starting search at 0.01 seconds.
% 0.87/1.14
% 0.87/1.14 ============================== PROOF =================================
% 0.87/1.14 % SZS status Unsatisfiable
% 0.87/1.14 % SZS output start Refutation
% 0.87/1.14
% 0.87/1.14 % Proof 1 at 0.11 (+ 0.01) seconds: prove_product.
% 0.87/1.14 % Length of proof is 15.
% 0.87/1.14 % Level of proof is 3.
% 0.87/1.14 % Maximum clause weight is 20.000.
% 0.87/1.14 % Given clauses 29.
% 0.87/1.14
% 0.87/1.14 1 sum(additive_identity,A,A) # label(additive_identity1) # label(axiom). [assumption].
% 0.87/1.14 2 sum(A,additive_identity,A) # label(additive_identity2) # label(axiom). [assumption].
% 0.87/1.14 5 sum(x,y,z) # label(x_plus_y) # label(hypothesis). [assumption].
% 0.87/1.14 8 product(inverse(A),A,additive_identity) # label(multiplicative_inverse1) # label(axiom). [assumption].
% 0.87/1.14 11 product(A,B,multiply(A,B)) # label(closure_of_multiplication) # label(axiom). [assumption].
% 0.87/1.14 12 -product(x,z,x) # label(prove_product) # label(negated_conjecture) # answer(prove_product). [assumption].
% 0.87/1.14 16 -product(A,B,C) | -product(A,B,D) | C = D # label(multiplication_is_well_defined) # label(axiom). [assumption].
% 0.87/1.14 19 -product(A,B,C) | -product(D,B,E) | -sum(A,D,F) | -product(F,B,V6) | sum(C,E,V6) # label(distributivity3) # label(axiom). [assumption].
% 0.87/1.14 21 -sum(A,B,C) | -sum(A,D,E) | -product(B,D,F) | -sum(A,F,V6) | product(C,E,V6) # label(distributivity5) # label(axiom). [assumption].
% 0.87/1.14 23 -sum(A,B,C) | -sum(D,B,E) | -product(A,D,F) | -sum(F,B,V6) | product(C,E,V6) # label(distributivity7) # label(axiom). [assumption].
% 0.87/1.14 36 multiply(inverse(A),A) = additive_identity. [hyper(16,a,11,a,b,8,a)].
% 0.87/1.14 128 sum(multiply(additive_identity,A),additive_identity,additive_identity). [hyper(19,a,11,a,b,11,a,c,1,a,d,8,a),rewrite([36(4)])].
% 0.87/1.14 237 -product(additive_identity,y,additive_identity) # answer(prove_product). [ur(21,a,2,a,b,5,a,d,2,a,e,12,a)].
% 0.87/1.14 602 -sum(multiply(additive_identity,y),additive_identity,additive_identity) # answer(prove_product). [ur(23,a,2,a,b,2,a,c,11,a,e,237,a)].
% 0.87/1.14 603 $F # answer(prove_product). [resolve(602,a,128,a)].
% 0.87/1.14
% 0.87/1.14 % SZS output end Refutation
% 0.87/1.14 ============================== end of proof ==========================
% 0.87/1.14
% 0.87/1.14 ============================== STATISTICS ============================
% 0.87/1.14
% 0.87/1.14 Given=29. Generated=3666. Kept=602. proofs=1.
% 0.87/1.14 Usable=28. Sos=335. Demods=10. Limbo=2, Disabled=260. Hints=0.
% 0.87/1.14 Megabytes=0.38.
% 0.87/1.14 User_CPU=0.11, System_CPU=0.01, Wall_clock=0.
% 0.87/1.14
% 0.87/1.14 ============================== end of statistics =====================
% 0.87/1.14
% 0.87/1.14 ============================== end of search =========================
% 0.87/1.14
% 0.87/1.14 THEOREM PROVED
% 0.87/1.14 % SZS status Unsatisfiable
% 0.87/1.14
% 0.87/1.14 Exiting with 1 proof.
% 0.87/1.14
% 0.87/1.14 Process 8347 exit (max_proofs) Wed Jun 1 18:46:54 2022
% 0.87/1.14 Prover9 interrupted
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