TSTP Solution File: LCL109-5 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL109-5 : 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 : Sun Jul 17 13:44:05 EDT 2022
% Result : Unsatisfiable 0.76s 1.06s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL109-5 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 2 09:56:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.76/1.06 ============================== Prover9 ===============================
% 0.76/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.06 Process 23814 was started by sandbox2 on n029.cluster.edu,
% 0.76/1.06 Sat Jul 2 09:56:10 2022
% 0.76/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23661_n029.cluster.edu".
% 0.76/1.06 ============================== end of head ===========================
% 0.76/1.06
% 0.76/1.06 ============================== INPUT =================================
% 0.76/1.06
% 0.76/1.06 % Reading from file /tmp/Prover9_23661_n029.cluster.edu
% 0.76/1.06
% 0.76/1.06 set(prolog_style_variables).
% 0.76/1.06 set(auto2).
% 0.76/1.06 % set(auto2) -> set(auto).
% 0.76/1.06 % set(auto) -> set(auto_inference).
% 0.76/1.06 % set(auto) -> set(auto_setup).
% 0.76/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.06 % set(auto) -> set(auto_limits).
% 0.76/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.06 % set(auto) -> set(auto_denials).
% 0.76/1.06 % set(auto) -> set(auto_process).
% 0.76/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.06 % set(auto2) -> assign(stats, some).
% 0.76/1.06 % set(auto2) -> clear(echo_input).
% 0.76/1.06 % set(auto2) -> set(quiet).
% 0.76/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.06 % set(auto2) -> clear(print_given).
% 0.76/1.06 assign(lrs_ticks,-1).
% 0.76/1.06 assign(sos_limit,10000).
% 0.76/1.06 assign(order,kbo).
% 0.76/1.06 set(lex_order_vars).
% 0.76/1.06 clear(print_given).
% 0.76/1.06
% 0.76/1.06 % formulas(sos). % not echoed (17 formulas)
% 0.76/1.06
% 0.76/1.06 ============================== end of input ==========================
% 0.76/1.06
% 0.76/1.06 % From the command line: assign(max_seconds, 300).
% 0.76/1.06
% 0.76/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.06
% 0.76/1.06 % Formulas that are not ordinary clauses:
% 0.76/1.06
% 0.76/1.06 ============================== end of process non-clausal formulas ===
% 0.76/1.06
% 0.76/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.06
% 0.76/1.06 ============================== PREDICATE ELIMINATION =================
% 0.76/1.06
% 0.76/1.06 ============================== end predicate elimination =============
% 0.76/1.06
% 0.76/1.06 Auto_denials:
% 0.76/1.06 % copying label prove_mv_4 to answer in negative clause
% 0.76/1.06
% 0.76/1.06 Term ordering decisions:
% 0.76/1.06
% 0.76/1.06 % Assigning unary symbol not kb_weight 0 and highest precedence (9).
% 0.76/1.06 Function symbol KB weights: truth=1. x=1. y=1. implies=1. big_hat=1. big_V=1. not=0.
% 0.76/1.06
% 0.76/1.06 ============================== end of process initial clauses ========
% 0.76/1.06
% 0.76/1.06 ============================== CLAUSES FOR SEARCH ====================
% 0.76/1.06
% 0.76/1.06 ============================== end of clauses for search =============
% 0.76/1.06
% 0.76/1.06 ============================== SEARCH ================================
% 0.76/1.06
% 0.76/1.06 % Starting search at 0.01 seconds.
% 0.76/1.06
% 0.76/1.06 ============================== PROOF =================================
% 0.76/1.06 % SZS status Unsatisfiable
% 0.76/1.06 % SZS output start Refutation
% 0.76/1.06
% 0.76/1.06 % Proof 1 at 0.05 (+ 0.00) seconds: prove_mv_4.
% 0.76/1.06 % Length of proof is 19.
% 0.76/1.06 % Level of proof is 7.
% 0.76/1.06 % Maximum clause weight is 13.000.
% 0.76/1.06 % Given clauses 28.
% 0.76/1.06
% 0.76/1.06 1 implies(truth,A) = A # label(wajsberg_1) # label(axiom). [assumption].
% 0.76/1.06 2 big_V(A,B) = implies(implies(A,B),B) # label(big_V_definition) # label(axiom). [assumption].
% 0.76/1.06 9 implies(implies(A,B),B) = implies(implies(B,A),A) # label(wajsberg_3) # label(axiom). [assumption].
% 0.76/1.06 16 big_V(implies(x,y),implies(y,x)) != truth # label(prove_mv_4) # label(negated_conjecture) # answer(prove_mv_4). [assumption].
% 0.76/1.06 17 implies(implies(implies(x,y),implies(y,x)),implies(y,x)) != truth # answer(prove_mv_4). [copy(16),rewrite([2(7)])].
% 0.76/1.06 18 -ordered(A,B) | implies(A,B) = truth # label(partial_order_definition1) # label(axiom). [assumption].
% 0.76/1.06 19 implies(A,B) != truth | ordered(A,B) # label(partial_order_definition2) # label(axiom). [assumption].
% 0.76/1.06 20 -ordered(A,B) | ordered(implies(A,C),implies(B,C)) # label(lemma_1) # label(axiom). [assumption].
% 0.76/1.06 22 -ordered(A,implies(B,C)) | ordered(B,implies(A,C)) # label(lemma_3_1) # label(axiom). [assumption].
% 0.76/1.06 41 implies(implies(A,truth),truth) = implies(A,A). [para(1(a,1),9(a,1,1)),flip(a)].
% 0.76/1.06 109 -ordered(implies(implies(x,y),implies(y,x)),implies(y,x)) # answer(prove_mv_4). [ur(18,b,17,a)].
% 0.76/1.06 112 ordered(truth,truth). [hyper(19,a,1,a)].
% 0.76/1.06 143 ordered(A,A). [hyper(20,a,112,a),rewrite([1(2),1(2)])].
% 0.76/1.06 144 ordered(A,implies(implies(A,B),B)). [hyper(22,a,143,a)].
% 0.76/1.06 145 implies(A,A) = truth. [hyper(18,a,143,a)].
% 0.76/1.06 148 implies(implies(A,truth),truth) = truth. [back_rewrite(41),rewrite([145(5)])].
% 0.76/1.06 214 ordered(A,truth). [para(148(a,1),144(a,2))].
% 0.76/1.06 216 ordered(implies(A,B),B). [hyper(20,a,214,a),rewrite([1(3)])].
% 0.76/1.06 217 $F # answer(prove_mv_4). [resolve(216,a,109,a)].
% 0.76/1.06
% 0.76/1.06 % SZS output end Refutation
% 0.76/1.06 ============================== end of proof ==========================
% 0.76/1.06
% 0.76/1.06 ============================== STATISTICS ============================
% 0.76/1.06
% 0.76/1.06 Given=28. Generated=470. Kept=210. proofs=1.
% 0.76/1.06 Usable=24. Sos=101. Demods=80. Limbo=1, Disabled=100. Hints=0.
% 0.76/1.06 Megabytes=0.43.
% 0.76/1.06 User_CPU=0.05, System_CPU=0.00, Wall_clock=0.
% 0.76/1.06
% 0.76/1.06 ============================== end of statistics =====================
% 0.76/1.06
% 0.76/1.06 ============================== end of search =========================
% 0.76/1.06
% 0.76/1.06 THEOREM PROVED
% 0.76/1.06 % SZS status Unsatisfiable
% 0.76/1.06
% 0.76/1.06 Exiting with 1 proof.
% 0.76/1.06
% 0.76/1.06 Process 23814 exit (max_proofs) Sat Jul 2 09:56:10 2022
% 0.76/1.06 Prover9 interrupted
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