TSTP Solution File: GRP045-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP045-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 11:16:55 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
% 0.07/0.12 % Problem : GRP045-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n029.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 09:05:25 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 2105 was started by sandbox on n029.cluster.edu,
% 0.44/1.00 Tue Jun 14 09:05:26 2022
% 0.44/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1709_n029.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_1709_n029.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 (10 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).
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% 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 =================
% 0.44/1.00 1 -equalish(A,B) | -product(C,D,A) | product(C,D,B) # label(product_substitution3) # label(axiom). [assumption].
% 0.44/1.00 2 equalish(a,b) # label(a_equals_b) # label(hypothesis). [assumption].
% 0.44/1.00 3 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(total_function2) # label(axiom). [assumption].
% 0.44/1.00 Derived: -product(A,B,a) | product(A,B,b). [resolve(1,a,2,a)].
% 0.44/1.00 Derived: -product(A,B,C) | product(A,B,D) | -product(E,F,C) | -product(E,F,D). [resolve(1,a,3,c)].
% 0.44/1.00
% 0.44/1.00 ============================== end predicate elimination =============
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% 0.44/1.00 Auto_denials:
% 0.44/1.00 % copying label prove_product_with_b to answer in negative clause
% 0.44/1.00
% 0.44/1.00 Term ordering decisions:
% 0.44/1.00
% 0.44/1.00 % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 0.44/1.00 Function symbol KB weights: a=1. identity=1. b=1. c=1. result=1. multiply=1. inverse=0.
% 0.44/1.00
% 0.44/1.00 ============================== end of process initial clauses ========
% 0.44/1.00
% 0.44/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.44/1.00
% 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.
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% 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_product_with_b.
% 0.44/1.00 % Length of proof is 16.
% 0.44/1.00 % Level of proof is 4.
% 0.44/1.00 % Maximum clause weight is 16.000.
% 0.44/1.00 % Given clauses 12.
% 0.44/1.00
% 0.44/1.00 1 -equalish(A,B) | -product(C,D,A) | product(C,D,B) # label(product_substitution3) # label(axiom). [assumption].
% 0.44/1.00 2 equalish(a,b) # label(a_equals_b) # label(hypothesis). [assumption].
% 0.44/1.00 3 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(total_function2) # label(axiom). [assumption].
% 0.44/1.00 4 product(identity,A,A) # label(left_identity) # label(axiom). [assumption].
% 0.44/1.00 5 product(c,a,result) # label(product_with_a) # label(hypothesis). [assumption].
% 0.44/1.00 7 product(A,B,multiply(A,B)) # label(total_function1) # label(axiom). [assumption].
% 0.44/1.00 8 -product(c,b,result) # label(prove_product_with_b) # label(negated_conjecture) # answer(prove_product_with_b). [assumption].
% 0.44/1.00 9 -product(A,B,C) | -product(B,D,E) | -product(C,D,F) | product(A,E,F) # label(associativity1) # label(axiom). [assumption].
% 0.44/1.00 10 -product(A,B,C) | -product(B,D,E) | -product(A,E,F) | product(C,D,F) # label(associativity2) # label(axiom). [assumption].
% 0.44/1.00 11 -product(A,B,a) | product(A,B,b). [resolve(1,a,2,a)].
% 0.44/1.00 12 -product(A,B,C) | product(A,B,D) | -product(E,F,C) | -product(E,F,D). [resolve(1,a,3,c)].
% 0.44/1.00 32 -product(multiply(c,identity),b,result) # answer(prove_product_with_b). [ur(9,a,7,a,b,4,a,d,8,a)].
% 0.44/1.00 56 product(identity,a,b). [ur(11,a,4,a)].
% 0.44/1.00 87 -product(identity,b,a) # answer(prove_product_with_b). [ur(10,a,7,a,c,5,a,d,32,a)].
% 0.44/1.00 95 -product(identity,a,b) # answer(prove_product_with_b). [ur(12,a,4,a,b,87,a,d,4,a)].
% 0.44/1.00 96 $F # answer(prove_product_with_b). [resolve(95,a,56,a)].
% 0.44/1.00
% 0.44/1.00 % SZS output end Refutation
% 0.44/1.00 ============================== end of proof ==========================
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% 0.44/1.00 ============================== STATISTICS ============================
% 0.44/1.00
% 0.44/1.00 Given=12. Generated=139. Kept=92. proofs=1.
% 0.44/1.00 Usable=12. Sos=74. Demods=0. Limbo=5, Disabled=12. Hints=0.
% 0.44/1.00 Megabytes=0.08.
% 0.44/1.00 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
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% 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 2105 exit (max_proofs) Tue Jun 14 09:05:26 2022
% 0.44/1.00 Prover9 interrupted
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