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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR042+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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  : 300s
% DateTime : Wed Jun  3 08:11:25 AM UTC 2026

% Result   : Theorem 0.36s 0.55s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR042+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n011.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon Jun  1 20:47:05 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.36/0.55  % SZS status Theorem
% 0.36/0.55  % SZS output start Proof
% 0.36/0.55  (
% 0.36/0.55  (declare-sort $$unsorted 0)
% 0.36/0.55  (declare-const tptp.geographicalregion (-> $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.thing (-> $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.genlinverse (-> $$unsorted $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.c_basekb $$unsorted)
% 0.36/0.55  (declare-const tptp.isa (-> $$unsorted $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.c_georegion_l4_x27_y64 $$unsorted)
% 0.36/0.55  (declare-const tptp.predicate (-> $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.collection (-> $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.genls (-> $$unsorted $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.borderson (-> $$unsorted $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.c_tptpgeo_member7_mt $$unsorted)
% 0.36/0.55  (declare-const tptp.mtvisible (-> $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.c_georegion_l4_x27_y65 $$unsorted)
% 0.36/0.55  (declare-const tptp.disjointwith (-> $$unsorted $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.genlpreds (-> $$unsorted $$unsorted Bool))
% 0.36/0.55  (declare-const tptp.binarypredicate (-> $$unsorted Bool))
% 0.36/0.55  (define @t1 () (tptp.borderson tptp.c_georegion_l4_x27_y64 tptp.c_georegion_l4_x27_y65))
% 0.36/0.55  (define @t2 () (tptp.mtvisible tptp.c_tptpgeo_member7_mt))
% 0.36/0.55  (define @t3 () (@var "COL2" $$unsorted))
% 0.36/0.55  (define @t4 () (@var "COL1" $$unsorted))
% 0.36/0.55  (define @t5 () (@var "OBJ" $$unsorted))
% 0.36/0.55  (define @t6 () (@var "GENLPRED" $$unsorted))
% 0.36/0.55  (define @t7 () (@var "SPECPRED" $$unsorted))
% 0.36/0.55  (define @t8 () (@var "PRED" $$unsorted))
% 0.36/0.55  (define @t9 () (@var "INS" $$unsorted))
% 0.36/0.55  (define @t10 () (tptp.predicate @t9))
% 0.36/0.55  (define @t11 () (@var "ARG1" $$unsorted))
% 0.36/0.55  (define @t12 () (@list @t11 @t9))
% 0.36/0.55  (define @t13 () (@var "ARG2" $$unsorted))
% 0.36/0.55  (define @t14 () (@list @t9 @t13))
% 0.36/0.55  (define @t15 () (@var "Z" $$unsorted))
% 0.36/0.55  (define @t16 () (@var "X" $$unsorted))
% 0.36/0.55  (define @t17 () (@var "Y" $$unsorted))
% 0.36/0.55  (define @t18 () (@list @t16))
% 0.36/0.55  (define @t19 () (tptp.binarypredicate @t9))
% 0.36/0.55  (define @t20 () (@var "NEW" $$unsorted))
% 0.36/0.55  (define @t21 () (@var "OLD" $$unsorted))
% 0.36/0.55  (define @t22 () (@list @t21 @t13 @t20))
% 0.36/0.55  (define @t23 () (@list @t11 @t21 @t20))
% 0.36/0.55  (define @t24 () (tptp.collection @t9))
% 0.36/0.55  (define @t25 () (@list @t16 @t17))
% 0.36/0.55  (define @t26 () (tptp.genls @t20 @t21))
% 0.36/0.55  (define @t27 () (tptp.geographicalregion @t9))
% 0.36/0.55  (define @t28 () (tptp.borderson @t17 @t16))
% 0.36/0.55  (define @t29 () (tptp.borderson @t16 @t17))
% 0.36/0.55  (define @t30 () (forall @t25 (=> @t29 @t28)))
% 0.36/0.55  (define @t31 () (tptp.borderson @t11 tptp.c_georegion_l4_x27_y64))
% 0.36/0.55  (define @t32 () (=> @t2 @t31))
% 0.36/0.55  (define @t33 () (@list @t11))
% 0.36/0.55  (define @t34 () (exists @t33 @t32))
% 0.36/0.55  (define @t35 () (not @t34))
% 0.36/0.55  (define @t36 () (@var "BOUND_VARIABLE_7666" $$unsorted))
% 0.36/0.55  (define @t37 () (forall (@list @t36) (not (tptp.borderson @t36 tptp.c_georegion_l4_x27_y64))))
% 0.36/0.55  (define @t38 () (not @t31))
% 0.36/0.55  (define @t39 () (forall @t33 @t38))
% 0.36/0.55  (define @t40 () (forall @t33 @t2))
% 0.36/0.55  (define @t41 () (and @t40 @t39))
% 0.36/0.55  (define @t42 () (forall @t33 (not @t32)))
% 0.36/0.55  (define @t43 () (not @t42))
% 0.36/0.55  (define @t44 () (tptp.borderson tptp.c_georegion_l4_x27_y65 tptp.c_georegion_l4_x27_y64))
% 0.36/0.55  (define @t45 () (not @t1))
% 0.36/0.55  (define @t46 () (or @t45 @t44))
% 0.36/0.55  (define @t47 () (@list false false))
% 0.36/0.55  (assume @p1 (=> @t2 @t1))
% 0.36/0.55  (assume @p2 (forall (@list @t5 @t4 @t3) (not (and (tptp.isa @t5 @t4) (tptp.isa @t5 @t3) (tptp.disjointwith @t4 @t3)))))
% 0.36/0.55  (assume @p3 (forall (@list @t7 @t8 @t6) (=> (and (tptp.genlinverse @t7 @t8) (tptp.genlinverse @t8 @t6)) (tptp.genlpreds @t7 @t6))))
% 0.36/0.55  (assume @p4 (forall @t12 (=> (tptp.genlpreds @t11 @t9) @t10)))
% 0.36/0.55  (assume @p5 (forall @t14 (=> (tptp.genlpreds @t9 @t13) @t10)))
% 0.36/0.55  (assume @p6 (forall (@list @t16 @t17 @t15) (=> (and (tptp.genlpreds @t16 @t17) (tptp.genlpreds @t17 @t15)) (tptp.genlpreds @t16 @t15))))
% 0.36/0.55  (assume @p7 (forall @t18 (=> (tptp.predicate @t16) (tptp.genlpreds @t16 @t16))))
% 0.36/0.55  (assume @p8 (forall @t12 (=> (tptp.genlinverse @t11 @t9) @t19)))
% 0.36/0.55  (assume @p9 (forall @t14 (=> (tptp.genlinverse @t9 @t13) @t19)))
% 0.36/0.55  (assume @p10 (forall @t22 (=> (and (tptp.genlinverse @t21 @t13) (tptp.genlpreds @t20 @t21)) (tptp.genlinverse @t20 @t13))))
% 0.36/0.55  (assume @p11 (forall @t23 (=> (and (tptp.genlinverse @t11 @t21) (tptp.genlpreds @t21 @t20)) (tptp.genlinverse @t11 @t20))))
% 0.36/0.55  (assume @p12 (forall @t12 (=> (tptp.disjointwith @t11 @t9) @t24)))
% 0.36/0.55  (assume @p13 (forall @t14 (=> (tptp.disjointwith @t9 @t13) @t24)))
% 0.36/0.55  (assume @p14 (forall @t25 (=> (tptp.disjointwith @t16 @t17) (tptp.disjointwith @t17 @t16))))
% 0.36/0.55  (assume @p15 (forall @t23 (=> (and (tptp.disjointwith @t11 @t21) @t26) (tptp.disjointwith @t11 @t20))))
% 0.36/0.55  (assume @p16 (forall @t22 (=> (and (tptp.disjointwith @t21 @t13) @t26) (tptp.disjointwith @t20 @t13))))
% 0.36/0.55  (assume @p17 (forall @t12 (=> (tptp.isa @t11 @t9) @t24)))
% 0.36/0.55  (assume @p18 (forall @t14 (=> (tptp.isa @t9 @t13) (tptp.thing @t9))))
% 0.36/0.55  (assume @p19 (forall @t23 (=> (and (tptp.isa @t11 @t21) (tptp.genls @t21 @t20)) (tptp.isa @t11 @t20))))
% 0.36/0.55  (assume @p20 (tptp.mtvisible tptp.c_basekb))
% 0.36/0.55  (assume @p21 (forall @t12 (=> (tptp.borderson @t11 @t9) @t27)))
% 0.36/0.55  (assume @p22 (forall @t14 (=> (tptp.borderson @t9 @t13) @t27)))
% 0.36/0.55  (assume @p23 @t30)
% 0.36/0.55  (assume @p24 (forall @t18 (not (tptp.borderson @t16 @t16))))
% 0.36/0.55  (assume @p25 @t35)
% 0.36/0.55  (assume @p26 true)
% 0.36/0.55  (step @p27 :rule bool-double-not-elim :args ((and @t2 @t37)))
% 0.36/0.55  (step @p28 :rule alpha_equiv :args (@t39 (@list @t11) (@list @t36)))
% 0.36/0.55  (step @p29 :rule quant-unused-vars :args ((= @t40 @t2)))
% 0.36/0.55  (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t41))
% 0.36/0.55  (step @p31 :rule quant-miniscope-and :args ((= (forall @t33 (and @t2 @t38)) @t41)))
% 0.36/0.55  (step @p32 :rule trans :premises (@p31 @p30))
% 0.36/0.55  (step @p33 :rule bool-implies-de-morgan :args (@t2 @t31))
% 0.36/0.55  (step @p34 :rule cong :premises (@p33) :args (@t42))
% 0.36/0.55  (step @p35 :rule trans :premises (@p34 @p32))
% 0.36/0.55  (step @p36 :rule cong :premises (@p35) :args (@t43))
% 0.36/0.55  (step @p37 :rule exists-elim :args ((= @t34 @t43)))
% 0.36/0.55  (step @p38 :rule trans :premises (@p37 @p36))
% 0.36/0.55  (step @p39 :rule cong :premises (@p38) :args (@t35))
% 0.36/0.55  (step @p40 :rule trans :premises (@p39 @p27))
% 0.36/0.55  (step @p41 :rule eq_resolve :premises (@p25 @p40))
% 0.36/0.55  (step @p42 :rule and_elim :premises (@p41) :args (1))
% 0.36/0.55  (step @p43 :rule bool-impl-elim :args (@t29 @t28))
% 0.36/0.55  (step @p44 :rule cong :premises (@p43) :args (@t30))
% 0.36/0.55  (step @p45 :rule eq_resolve :premises (@p23 @p44))
% 0.36/0.55  (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.c_georegion_l4_x27_y64 tptp.c_georegion_l4_x27_y65)))
% 0.36/0.55  (step @p47 :rule and_elim :premises (@p41) :args (0))
% 0.36/0.55  (step @p48 :rule implies_elim :premises (@p1))
% 0.36/0.55  (step @p49 :rule reordering :premises (@p48) :args ((or @t1 (not @t2))))
% 0.36/0.55  (step @p50 :rule chain_m_resolution :premises (@p49 @p47) :args (@t1 (@list false) (@list @t2)))
% 0.36/0.55  (step @p51 :rule cnf_or_pos :args (@t46))
% 0.36/0.55  (step @p52 :rule reordering :premises (@p51) :args ((or @t45 @t44 (not @t46))))
% 0.36/0.55  (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p46) :args (@t44 @t47 (@list @t1 @t46)))
% 0.36/0.55  (assume-push @p60 @t37)
% 0.36/0.55  (step @p55 :rule instantiate :premises (@p42) :args ((@list tptp.c_georegion_l4_x27_y65)))
% 0.36/0.55  (step-pop @p61 :rule scope :premises (@p55))
% 0.36/0.55  (step @p56 :rule process_scope :premises (@p61) :args ((not @t44)))
% 0.36/0.55  (step @p58 :rule implies_elim :premises (@p56))
% 0.36/0.55  (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p42) :args (false @t47 (@list @t44 @t37)))
% 0.36/0.55  )
% 0.36/0.55  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------