TSTP Solution File: SEU179+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n010.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 : Tue Jul 19 13:29:41 EDT 2022
% Result : Timeout 300.06s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n010.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 : Sun Jun 19 03:17:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.02 ============================== Prover9 ===============================
% 0.76/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.02 Process 3607 was started by sandbox2 on n010.cluster.edu,
% 0.76/1.02 Sun Jun 19 03:17:38 2022
% 0.76/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3453_n010.cluster.edu".
% 0.76/1.02 ============================== end of head ===========================
% 0.76/1.02
% 0.76/1.02 ============================== INPUT =================================
% 0.76/1.02
% 0.76/1.02 % Reading from file /tmp/Prover9_3453_n010.cluster.edu
% 0.76/1.02
% 0.76/1.02 set(prolog_style_variables).
% 0.76/1.02 set(auto2).
% 0.76/1.02 % set(auto2) -> set(auto).
% 0.76/1.02 % set(auto) -> set(auto_inference).
% 0.76/1.02 % set(auto) -> set(auto_setup).
% 0.76/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.02 % set(auto) -> set(auto_limits).
% 0.76/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.02 % set(auto) -> set(auto_denials).
% 0.76/1.02 % set(auto) -> set(auto_process).
% 0.76/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.02 % set(auto2) -> assign(stats, some).
% 0.76/1.02 % set(auto2) -> clear(echo_input).
% 0.76/1.02 % set(auto2) -> set(quiet).
% 0.76/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.02 % set(auto2) -> clear(print_given).
% 0.76/1.02 assign(lrs_ticks,-1).
% 0.76/1.02 assign(sos_limit,10000).
% 0.76/1.02 assign(order,kbo).
% 0.76/1.02 set(lex_order_vars).
% 0.76/1.02 clear(print_given).
% 0.76/1.02
% 0.76/1.02 % formulas(sos). % not echoed (35 formulas)
% 0.76/1.02
% 0.76/1.02 ============================== end of input ==========================
% 0.76/1.02
% 0.76/1.02 % From the command line: assign(max_seconds, 300).
% 0.76/1.02
% 0.76/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.02
% 0.76/1.02 % Formulas that are not ordinary clauses:
% 0.76/1.02 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 2 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 3 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 4 (all A (relation(A) -> (all B (B = relation_dom(A) <-> (all C (in(C,B) <-> (exists D in(ordered_pair(C,D),A)))))))) # label(d4_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 5 (all A (relation(A) -> (all B (B = relation_rng(A) <-> (all C (in(C,B) <-> (exists D in(ordered_pair(D,C),A)))))))) # label(d5_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 6 (all A all B ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A))) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 7 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 8 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 9 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 10 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 11 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 12 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 13 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 14 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 15 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 16 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 17 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 18 (all A -empty(singleton(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 19 (all A all B -empty(unordered_pair(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 20 (exists A (empty(A) & relation(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 21 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 22 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 23 (all A exists B (element(B,powerset(A)) & empty(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 24 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 25 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 26 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 27 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 28 (all A all B (element(A,powerset(B)) <-> subset(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 29 (all A all B all C (in(A,B) & element(B,powerset(C)) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 30 (all A all B all C -(in(A,B) & element(B,powerset(C)) & empty(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 31 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 32 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 33 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 34 -(all A (relation(A) -> (all B (relation(B) -> (subset(A,B) -> subset(relation_dom(A),relation_dom(B)) & subset(relation_rng(A),relation_rng(B))))))) # label(t25_relat_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.76/1.02
% 0.76/1.02 ============================== end of process non-clausal formulas ===
% 0.76/1.02
% 0.76/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.02
% 0.76/1.02 ============================== PREDICATE ELIMINATION =================
% 0.76/1.02 35 -relation(A) | relation_dom(A) != B | in(C,B) | -in(ordered_pair(C,D),A) # label(d4_relat_1) # label(axiom). [clausify(4)].
% 0.76/1.02 36 relation(c1) # label(rc1_relat_1) # label(axiom). [clausify(20)].
% 0.76/1.02 37 relation(c4) # label(t25_relat_1) # label(negated_conjecture). [clausify(34)].
% 0.76/1.02 38 relation(c5) # label(t25_relat_1) # label(negated_conjecture). [clausify(34)].
% 0.76/1.02 Derived: relation_dom(c1) != A | in(B,A) | -in(ordered_pair(B,C),c1). [resolve(35,a,36,a)].
% 0.76/1.02 Derived: relation_dom(c4) != A | in(B,A) | -in(ordered_pair(B,C),c4). [resolve(35,a,37,a)].
% 0.76/1.02 Derived: relation_dom(c5) != A | in(B,A) | -in(ordered_pair(B,C),c5). [resolve(35,a,38,a)].
% 0.76/1.02 39 -relation(A) | relation_rng(A) != B | in(C,B) | -in(ordered_pair(D,C),A) # label(d5_relat_1) # label(axiom). [clausify(5)].
% 0.76/1.02 Derived: relation_rng(c1) != A | in(B,A) | -in(ordered_pair(C,B),c1). [resolve(39,a,36,a)].
% 0.76/1.02 Derived: relation_rng(c4) != A | in(B,A) | -in(ordered_pair(C,B),c4). [resolve(39,a,37,a)].
% 0.76/1.02 Derived: relation_rng(c5) != A | in(B,A) | -in(ordered_pair(C,B),c5). [resolve(39,a,38,a)].
% 0.76/1.02 40 -relation(A) | relation_dom(A) != B | -in(C,B) | in(ordered_pair(C,f2(A,B,C)),A) # label(d4_relat_1) # label(axiom). [clausify(4)].
% 0.76/1.02 Derived: relation_dom(c1) != A | -in(B,A) | in(ordered_pair(B,f2(c1,A,B)),c1). [resolve(40,a,36,a)].
% 0.76/1.02 Derived: relation_dom(c4) != A | -in(B,A) | in(ordered_pair(B,f2(c4,A,B)),c4). [resolve(40,a,37,a)].
% 0.76/1.02 Derived: relation_dom(c5) != A | -in(B,A) | in(ordered_pair(B,f2(c5,A,B)),c5). [resolve(40,a,38,a)].
% 0.76/1.02 41 -relation(A) | relation_rng(A) != B | -in(C,B) | in(ordered_pair(f5(A,B,C),C),A) # label(d5_relat_1) # label(axiom). [clausify(5)].
% 0.76/1.02 Derived: relation_rng(c1) != A | -in(B,A) | in(ordered_pair(f5(c1,A,B),B),c1). [resolve(41,a,36,a)].
% 0.76/1.02 Derived: relation_rng(c4) != A | -in(B,A) | in(ordered_pair(f5(c4,A,B),B),c4)Cputime limit exceeded (core dumped)
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