TSTP Solution File: SYN323+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 11:18:07 EDT 2022
% Result : Theorem 0.42s 0.96s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.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 Jul 11 19:26:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.96 ============================== Prover9 ===============================
% 0.42/0.96 Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.96 Process 31184 was started by sandbox2 on n022.cluster.edu,
% 0.42/0.96 Mon Jul 11 19:26:10 2022
% 0.42/0.96 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31016_n022.cluster.edu".
% 0.42/0.96 ============================== end of head ===========================
% 0.42/0.96
% 0.42/0.96 ============================== INPUT =================================
% 0.42/0.96
% 0.42/0.96 % Reading from file /tmp/Prover9_31016_n022.cluster.edu
% 0.42/0.96
% 0.42/0.96 set(prolog_style_variables).
% 0.42/0.96 set(auto2).
% 0.42/0.96 % set(auto2) -> set(auto).
% 0.42/0.96 % set(auto) -> set(auto_inference).
% 0.42/0.96 % set(auto) -> set(auto_setup).
% 0.42/0.96 % set(auto_setup) -> set(predicate_elim).
% 0.42/0.96 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.96 % set(auto) -> set(auto_limits).
% 0.42/0.96 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.96 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.96 % set(auto) -> set(auto_denials).
% 0.42/0.96 % set(auto) -> set(auto_process).
% 0.42/0.96 % set(auto2) -> assign(new_constants, 1).
% 0.42/0.96 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.96 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.96 % set(auto2) -> assign(max_hours, 1).
% 0.42/0.96 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.96 % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.96 % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.96 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.96 % set(auto2) -> set(sort_initial_sos).
% 0.42/0.96 % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.96 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.96 % set(auto2) -> assign(max_megs, 400).
% 0.42/0.96 % set(auto2) -> assign(stats, some).
% 0.42/0.96 % set(auto2) -> clear(echo_input).
% 0.42/0.96 % set(auto2) -> set(quiet).
% 0.42/0.96 % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.96 % set(auto2) -> clear(print_given).
% 0.42/0.96 assign(lrs_ticks,-1).
% 0.42/0.96 assign(sos_limit,10000).
% 0.42/0.96 assign(order,kbo).
% 0.42/0.96 set(lex_order_vars).
% 0.42/0.96 clear(print_given).
% 0.42/0.96
% 0.42/0.96 % formulas(sos). % not echoed (1 formulas)
% 0.42/0.96
% 0.42/0.96 ============================== end of input ==========================
% 0.42/0.96
% 0.42/0.96 % From the command line: assign(max_seconds, 300).
% 0.42/0.96
% 0.42/0.96 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.96
% 0.42/0.96 % Formulas that are not ordinary clauses:
% 0.42/0.96 1 -(exists Y ((all X ((big_f(X,Y) -> big_f(Y,X)) -> big_g(X,Y))) -> -(all X ((big_f(X,Y) -> big_f(Y,X)) -> -big_g(X,Y))))) # label(church_46_4_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/0.96
% 0.42/0.96 ============================== end of process non-clausal formulas ===
% 0.42/0.96
% 0.42/0.96 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.96
% 0.42/0.96 ============================== PREDICATE ELIMINATION =================
% 0.42/0.96 2 -big_f(A,B) | -big_g(B,A) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.96 3 big_f(A,B) | big_g(A,B) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.96 Derived: -big_g(A,B) | big_g(B,A). [resolve(2,a,3,a)].
% 0.42/0.96 4 -big_f(A,B) | big_g(B,A) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.96 Derived: big_g(A,B) | big_g(B,A). [resolve(4,a,3,a)].
% 0.42/0.96 5 big_f(A,B) | -big_g(A,B) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.96 Derived: -big_g(A,B) | -big_g(B,A). [resolve(5,a,2,a)].
% 0.42/0.96
% 0.42/0.96 ============================== end predicate elimination =============
% 0.42/0.96
% 0.42/0.96 Auto_denials: (non-Horn, no changes).
% 0.42/0.96
% 0.42/0.96 Term ordering decisions:
% 0.42/0.96 Function symbol KB weights:
% 0.42/0.96
% 0.42/0.96 ============================== PROOF =================================
% 0.42/0.96 % SZS status Theorem
% 0.42/0.96 % SZS output start Refutation
% 0.42/0.96
% 0.42/0.96 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.42/0.96 % Length of proof is 9.
% 0.42/0.96 % Level of proof is 4.
% 0.42/0.96 % Maximum clause weight is 6.000.
% 0.42/0.96 % Given clauses 0.
% 0.42/0.96
% 0.42/0.96 1 -(exists Y ((all X ((big_f(X,Y) -> big_f(Y,X)) -> big_g(X,Y))) -> -(all X ((big_f(X,Y) -> big_f(Y,X)) -> -big_g(X,Y))))) # label(church_46_4_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/0.96 2 -big_f(A,B) | -big_g(B,A) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.96 3 big_f(A,B) | big_g(A,B) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.96 4 -big_f(A,B) | big_g(B,A) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.96 5 big_f(A,B) | -big_g(A,B) # label(church_46_4_2) # label(negated_conjecture). [clausify(1)].
% 0.42/0.97 7 big_g(A,B) | big_g(B,A). [resolve(4,a,3,a)].
% 0.42/0.97 8 -big_g(A,B) | -big_g(B,A). [resolve(5,a,2,a)].
% 0.42/0.97 9 big_g(A,A). [factor(7,a,b)].
% 0.42/0.97 10 $F. [factor(8,a,b),unit_del(a,9)].
% 0.42/0.97
% 0.42/0.97 % SZS output end Refutation
% 0.42/0.97 ============================== end of proof ==========================
% 0.42/0.97
% 0.42/0.97 ============================== STATISTICS ============================
% 0.42/0.97
% 0.42/0.97 Given=0. Generated=5. Kept=4. proofs=1.
% 0.42/0.97 Usable=0. Sos=2. Demods=0. Limbo=2, Disabled=7. Hints=0.
% 0.42/0.97 Megabytes=0.02.
% 0.42/0.97 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.42/0.97
% 0.42/0.97 ============================== end of statistics =====================
% 0.42/0.97
% 0.42/0.97 ============================== end of search =========================
% 0.42/0.97
% 0.42/0.97 THEOREM PROVED
% 0.42/0.97 % SZS status Theorem
% 0.42/0.97
% 0.42/0.97 Exiting with 1 proof.
% 0.42/0.97
% 0.42/0.97 Process 31184 exit (max_proofs) Mon Jul 11 19:26:10 2022
% 0.42/0.97 Prover9 interrupted
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