TSTP Solution File: SYN386+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 21 11:18:47 EDT 2022
% Result : Theorem 0.43s 0.99s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 13:12:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.43/0.99 ============================== Prover9 ===============================
% 0.43/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.99 Process 25178 was started by sandbox2 on n004.cluster.edu,
% 0.43/0.99 Mon Jul 11 13:12:08 2022
% 0.43/0.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25016_n004.cluster.edu".
% 0.43/0.99 ============================== end of head ===========================
% 0.43/0.99
% 0.43/0.99 ============================== INPUT =================================
% 0.43/0.99
% 0.43/0.99 % Reading from file /tmp/Prover9_25016_n004.cluster.edu
% 0.43/0.99
% 0.43/0.99 set(prolog_style_variables).
% 0.43/0.99 set(auto2).
% 0.43/0.99 % set(auto2) -> set(auto).
% 0.43/0.99 % set(auto) -> set(auto_inference).
% 0.43/0.99 % set(auto) -> set(auto_setup).
% 0.43/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.99 % set(auto) -> set(auto_limits).
% 0.43/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.99 % set(auto) -> set(auto_denials).
% 0.43/0.99 % set(auto) -> set(auto_process).
% 0.43/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.99 % set(auto2) -> assign(stats, some).
% 0.43/0.99 % set(auto2) -> clear(echo_input).
% 0.43/0.99 % set(auto2) -> set(quiet).
% 0.43/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.99 % set(auto2) -> clear(print_given).
% 0.43/0.99 assign(lrs_ticks,-1).
% 0.43/0.99 assign(sos_limit,10000).
% 0.43/0.99 assign(order,kbo).
% 0.43/0.99 set(lex_order_vars).
% 0.43/0.99 clear(print_given).
% 0.43/0.99
% 0.43/0.99 % formulas(sos). % not echoed (1 formulas)
% 0.43/0.99
% 0.43/0.99 ============================== end of input ==========================
% 0.43/0.99
% 0.43/0.99 % From the command line: assign(max_seconds, 300).
% 0.43/0.99
% 0.43/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.99
% 0.43/0.99 % Formulas that are not ordinary clauses:
% 0.43/0.99 1 -((all X exists Y big_f(X,Y)) & (exists X all E exists N all W (big_s(N,W) -> big_d(W,X,E))) & (all E exists D all A all B (big_d(A,B,D) -> (all Y all Z (big_f(A,Y) & big_f(B,Z) -> big_d(Y,Z,E))))) -> (exists Y all E exists M all W (big_s(M,W) -> (all Z (big_f(W,Z) -> big_d(Z,Y,E)))))) # label(x2138) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/0.99
% 0.43/0.99 ============================== end of process non-clausal formulas ===
% 0.43/0.99
% 0.43/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.99
% 0.43/0.99 ============================== PREDICATE ELIMINATION =================
% 0.43/0.99 2 -big_s(f2(A),B) | big_d(B,c1,A) # label(x2138) # label(negated_conjecture). [clausify(1)].
% 0.43/0.99 3 big_s(A,f5(B,A)) # label(x2138) # label(negated_conjecture). [clausify(1)].
% 0.43/0.99 Derived: big_d(f5(A,f2(B)),c1,B). [resolve(2,a,3,a)].
% 0.43/0.99
% 0.43/0.99 ============================== end predicate elimination =============
% 0.43/0.99
% 0.43/0.99 Auto_denials:
% 0.43/0.99 % copying label x2138 to answer in negative clause
% 0.43/0.99
% 0.43/0.99 Term ordering decisions:
% 0.43/0.99 Function symbol KB weights: c1=1. f5=1. f6=1. f1=1. f2=1. f3=1. f4=1.
% 0.43/0.99
% 0.43/0.99 ============================== end of process initial clauses ========
% 0.43/0.99
% 0.43/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.99
% 0.43/0.99 ============================== end of clauses for search =============
% 0.43/0.99
% 0.43/0.99 ============================== SEARCH ================================
% 0.43/0.99
% 0.43/0.99 % Starting search at 0.01 seconds.
% 0.43/0.99
% 0.43/0.99 ============================== PROOF =================================
% 0.43/0.99 % SZS status Theorem
% 0.43/0.99 % SZS output start Refutation
% 0.43/0.99
% 0.43/0.99 % Proof 1 at 0.01 (+ 0.00) seconds: x2138.
% 0.43/0.99 % Length of proof is 10.
% 0.43/0.99 % Level of proof is 4.
% 0.43/0.99 % Maximum clause weight is 15.000.
% 0.43/0.99 % Given clauses 5.
% 0.43/0.99
% 0.43/0.99 1 -((all X exists Y big_f(X,Y)) & (exists X all E exists N all W (big_s(N,W) -> big_d(W,X,E))) & (all E exists D all A all B (big_d(A,B,D) -> (all Y all Z (big_f(A,Y) & big_f(B,Z) -> big_d(Y,Z,E))))) -> (exists Y all E exists M all W (big_s(M,W) -> (all Z (big_f(W,Z) -> big_d(Z,Y,E)))))) # label(x2138) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/0.99 2 -big_s(f2(A),B) | big_d(B,c1,A) # label(x2138) # label(negated_conjecture). [clausify(1)].
% 0.43/0.99 3 big_s(A,f5(B,A)) # label(x2138) # label(negated_conjecture). [clausify(1)].
% 0.43/0.99 4 big_f(A,f1(A)) # label(x2138) # label(negated_conjecture). [clausify(1)].
% 0.43/0.99 5 big_f(f5(A,B),f6(A,B)) # label(x2138) # label(negated_conjecture). [clausify(1)].
% 0.43/0.99 6 -big_d(f6(A,B),A,f4(A)) # label(x2138) # label(negated_conjecture) # answer(x2138). [clausify(1)].
% 0.43/0.99 7 -big_d(A,B,f3(C)) | -big_f(A,D) | -big_f(B,E) | big_d(D,E,C) # label(x2138) # label(negated_conjecture). [clausify(1)].
% 0.43/0.99 8 big_d(f5(A,f2(B)),c1,B). [resolve(2,a,3,a)].
% 0.43/0.99 9 big_d(f6(A,f2(f3(B))),f1(c1),B). [hyper(7,a,8,a,b,5,a,c,4,a)].
% 0.43/0.99 10 $F # answer(x2138). [resolve(9,a,6,a)].
% 0.43/0.99
% 0.43/0.99 % SZS output end Refutation
% 0.43/0.99 ============================== end of proof ==========================
% 0.43/0.99
% 0.43/0.99 ============================== STATISTICS ============================
% 0.43/0.99
% 0.43/0.99 Given=5. Generated=6. Kept=6. proofs=1.
% 0.43/0.99 Usable=5. Sos=0. Demods=0. Limbo=0, Disabled=7. Hints=0.
% 0.43/0.99 Megabytes=0.04.
% 0.43/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.99
% 0.43/0.99 ============================== end of statistics =====================
% 0.43/0.99
% 0.43/0.99 ============================== end of search =========================
% 0.43/0.99
% 0.43/0.99 THEOREM PROVED
% 0.43/0.99 % SZS status Theorem
% 0.43/0.99
% 0.43/0.99 Exiting with 1 proof.
% 0.43/0.99
% 0.43/0.99 Process 25178 exit (max_proofs) Mon Jul 11 13:12:08 2022
% 0.43/0.99 Prover9 interrupted
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