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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GEO223+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 08:16:50 AM UTC 2026

% Result   : Theorem 0.41s 0.61s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO223+3 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n008.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Mon Jun  1 23:40:48 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.41/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.41/0.61  % SZS status Theorem
% 0.41/0.61  % SZS output start Proof
% 0.41/0.61  (
% 0.41/0.61  (declare-sort $$unsorted 0)
% 0.41/0.61  (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted))
% 0.41/0.61  (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted))
% 0.41/0.61  (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted))
% 0.41/0.61  (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted))
% 0.41/0.61  (declare-const tptp.line (-> $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.point (-> $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool))
% 0.41/0.61  (define @t1 () (@var "X" $$unsorted))
% 0.41/0.61  (define @t2 () (@list @t1))
% 0.41/0.61  (define @t3 () (@var "Z" $$unsorted))
% 0.41/0.61  (define @t4 () (@var "Y" $$unsorted))
% 0.41/0.61  (define @t5 () (tptp.distinct_points @t1 @t3))
% 0.41/0.61  (define @t6 () (tptp.distinct_points @t1 @t4))
% 0.41/0.61  (define @t7 () (@list @t1 @t4 @t3))
% 0.41/0.61  (define @t8 () (tptp.distinct_lines @t4 @t3))
% 0.41/0.61  (define @t9 () (tptp.distinct_lines @t1 @t4))
% 0.41/0.61  (define @t10 () (tptp.convergent_lines @t4 @t3))
% 0.41/0.61  (define @t11 () (tptp.convergent_lines @t1 @t3))
% 0.41/0.61  (define @t12 () (or @t11 @t10))
% 0.41/0.61  (define @t13 () (tptp.convergent_lines @t1 @t4))
% 0.41/0.61  (define @t14 () (forall @t7 (=> @t13 @t12)))
% 0.41/0.61  (define @t15 () (tptp.line_connecting @t1 @t4))
% 0.41/0.61  (define @t16 () (@list @t1 @t4))
% 0.41/0.61  (define @t17 () (tptp.intersection_point @t1 @t4))
% 0.41/0.61  (define @t18 () (@var "V" $$unsorted))
% 0.41/0.61  (define @t19 () (@var "U" $$unsorted))
% 0.41/0.61  (define @t20 () (tptp.apart_point_and_line @t1 @t4))
% 0.41/0.61  (define @t21 () (tptp.apart_point_and_line @t1 @t3))
% 0.41/0.61  (define @t22 () (forall @t16 (=> @t9 @t13)))
% 0.41/0.61  (define @t23 () (tptp.parallel_through_point @t4 @t1))
% 0.41/0.61  (define @t24 () (@var "M" $$unsorted))
% 0.41/0.61  (define @t25 () (@var "L" $$unsorted))
% 0.41/0.61  (define @t26 () (tptp.unorthogonal_lines @t25 @t24))
% 0.41/0.61  (define @t27 () (tptp.convergent_lines @t25 @t24))
% 0.41/0.61  (define @t28 () (@list @t25 @t24))
% 0.41/0.61  (define @t29 () (@var "N" $$unsorted))
% 0.41/0.61  (define @t30 () (tptp.unorthogonal_lines @t24 @t29))
% 0.41/0.61  (define @t31 () (tptp.convergent_lines @t24 @t29))
% 0.41/0.61  (define @t32 () (and @t31 @t30))
% 0.41/0.61  (define @t33 () (tptp.unorthogonal_lines @t25 @t29))
% 0.41/0.61  (define @t34 () (tptp.convergent_lines @t25 @t29))
% 0.41/0.61  (define @t35 () (and @t34 @t33))
% 0.41/0.61  (define @t36 () (or @t35 @t32))
% 0.41/0.61  (define @t37 () (and @t27 @t26))
% 0.41/0.61  (define @t38 () (@list @t25 @t24 @t29))
% 0.41/0.61  (define @t39 () (forall @t38 (=> @t37 @t36)))
% 0.41/0.61  (define @t40 () (@var "A" $$unsorted))
% 0.41/0.61  (define @t41 () (tptp.orthogonal_through_point @t25 @t40))
% 0.41/0.61  (define @t42 () (@list @t40 @t25))
% 0.41/0.61  (define @t43 () (not @t26))
% 0.41/0.61  (define @t44 () (not @t27))
% 0.41/0.61  (define @t45 () (not @t31))
% 0.41/0.61  (define @t46 () (not @t33))
% 0.41/0.61  (define @t47 () (or @t44 @t43))
% 0.41/0.61  (define @t48 () (and @t43 @t46))
% 0.41/0.61  (define @t49 () (forall @t38 (=> @t48 @t45)))
% 0.41/0.61  (define @t50 () (@var "B" $$unsorted))
% 0.41/0.61  (define @t51 () (tptp.point @t40))
% 0.41/0.61  (define @t52 () (tptp.line @t25))
% 0.41/0.61  (define @t53 () (tptp.parallel_through_point @t25 @t40))
% 0.41/0.61  (define @t54 () (and @t52 @t51))
% 0.41/0.61  (define @t55 () (@list @t25 @t40))
% 0.41/0.61  (define @t56 () (not @t13))
% 0.41/0.61  (define @t57 () (forall @t42 (tptp.equal_lines @t53 (tptp.orthogonal_through_point @t41 @t40))))
% 0.41/0.61  (define @t58 () (@quantifiers_skolemize @t57 0))
% 0.41/0.61  (define @t59 () (@quantifiers_skolemize @t57 1))
% 0.41/0.61  (define @t60 () (tptp.orthogonal_through_point @t59 @t58))
% 0.41/0.61  (define @t61 () (tptp.orthogonal_through_point @t60 @t58))
% 0.41/0.61  (define @t62 () (tptp.unorthogonal_lines @t61 @t60))
% 0.41/0.61  (define @t63 () (tptp.convergent_lines @t61 @t60))
% 0.41/0.61  (define @t64 () (and @t63 @t62))
% 0.41/0.61  (define @t65 () (not @t64))
% 0.41/0.61  (define @t66 () (@list true))
% 0.41/0.61  (define @t67 () (@list @t61 @t61 @t60))
% 0.41/0.61  (define @t68 () (or @t63 @t62))
% 0.41/0.61  (define @t69 () (@list true false))
% 0.41/0.61  (define @t70 () (not @t63))
% 0.41/0.61  (define @t71 () (tptp.unorthogonal_lines @t61 @t61))
% 0.41/0.61  (define @t72 () (or @t71 @t62 @t70))
% 0.41/0.61  (define @t73 () (@list true false false))
% 0.41/0.61  (define @t74 () (tptp.parallel_through_point @t59 @t58))
% 0.41/0.61  (define @t75 () (@list @t74 @t61))
% 0.41/0.61  (define @t76 () (tptp.distinct_lines @t74 @t61))
% 0.41/0.61  (define @t77 () (tptp.equal_lines @t74 @t61))
% 0.41/0.61  (define @t78 () (not @t76))
% 0.41/0.61  (define @t79 () (= @t77 @t78))
% 0.41/0.61  (define @t80 () (not @t79))
% 0.41/0.61  (define @t81 () (tptp.convergent_lines @t74 @t61))
% 0.41/0.61  (define @t82 () (or @t78 @t81))
% 0.41/0.61  (define @t83 () (@list @t58 @t59))
% 0.41/0.61  (define @t84 () (tptp.convergent_lines @t61 @t59))
% 0.41/0.61  (define @t85 () (tptp.convergent_lines @t74 @t59))
% 0.41/0.61  (define @t86 () (not @t81))
% 0.41/0.61  (define @t87 () (or @t86 @t85 @t84))
% 0.41/0.61  (define @t88 () (not @t84))
% 0.41/0.61  (define @t89 () (tptp.unorthogonal_lines @t60 @t59))
% 0.41/0.61  (define @t90 () (tptp.unorthogonal_lines @t60 @t61))
% 0.41/0.61  (define @t91 () (or @t90 @t89 @t88))
% 0.41/0.61  (define @t92 () (tptp.convergent_lines @t60 @t60))
% 0.41/0.61  (define @t93 () (not @t92))
% 0.41/0.61  (define @t94 () (or @t62 @t62 @t93))
% 0.41/0.61  (define @t95 () (and @t92 (tptp.unorthogonal_lines @t60 @t60)))
% 0.41/0.61  (define @t96 () (not @t95))
% 0.41/0.61  (define @t97 () (not @t90))
% 0.41/0.61  (define @t98 () (tptp.convergent_lines @t60 @t61))
% 0.41/0.61  (define @t99 () (not @t98))
% 0.41/0.61  (define @t100 () (or @t99 @t97 @t95 @t64))
% 0.41/0.61  (define @t101 () (tptp.convergent_lines @t61 @t61))
% 0.41/0.61  (define @t102 () (or @t70 @t101 @t98))
% 0.41/0.61  (define @t103 () (not @t71))
% 0.41/0.61  (define @t104 () (not @t101))
% 0.41/0.61  (define @t105 () (or @t104 @t103 @t64 @t64))
% 0.41/0.61  (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1))))
% 0.41/0.61  (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1))))
% 0.41/0.61  (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1))))
% 0.41/0.61  (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3)))))
% 0.41/0.61  (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8))))
% 0.41/0.61  (assume @p6 @t14)
% 0.41/0.61  (assume @p7 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t1 @t15)))))
% 0.41/0.61  (assume @p8 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t4 @t15)))))
% 0.41/0.61  (assume @p9 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t17 @t1)))))
% 0.41/0.61  (assume @p10 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t17 @t4)))))
% 0.41/0.61  (assume @p11 (forall (@list @t1 @t4 @t19 @t18) (=> (and @t6 (tptp.distinct_lines @t19 @t18)) (or (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t4 @t19) (tptp.apart_point_and_line @t4 @t18)))))
% 0.41/0.61  (assume @p12 (forall @t7 (=> @t20 (or @t5 (tptp.apart_point_and_line @t3 @t4)))))
% 0.41/0.61  (assume @p13 (forall @t7 (=> @t20 (or @t8 @t21))))
% 0.41/0.61  (assume @p14 (forall @t7 (=> @t13 (or @t8 @t11))))
% 0.41/0.61  (assume @p15 @t22)
% 0.41/0.61  (assume @p16 (forall @t16 (not (tptp.convergent_lines @t23 @t4))))
% 0.41/0.61  (assume @p17 (forall @t16 (not (tptp.apart_point_and_line @t1 @t23))))
% 0.41/0.61  (assume @p18 (forall @t7 (=> @t8 (or @t20 @t21 @t10))))
% 0.41/0.61  (assume @p19 (forall @t28 (or @t27 @t26)))
% 0.41/0.61  (assume @p20 @t39)
% 0.41/0.61  (assume @p21 (forall @t42 (not (tptp.unorthogonal_lines @t41 @t25))))
% 0.41/0.61  (assume @p22 (forall @t42 (not (tptp.apart_point_and_line @t40 @t41))))
% 0.41/0.61  (assume @p23 (forall (@list @t40 @t25 @t24 @t29) (=> (tptp.distinct_lines @t25 @t24) (or (tptp.apart_point_and_line @t40 @t25) (tptp.apart_point_and_line @t40 @t24) @t33 @t30))))
% 0.41/0.61  (assume @p24 (forall @t28 (not (and @t44 @t43))))
% 0.41/0.61  (assume @p25 (forall @t38 (=> (and @t47 (or (not @t34) @t46)) (or @t45 (not @t30)))))
% 0.41/0.61  (assume @p26 @t49)
% 0.41/0.61  (assume @p27 (forall (@list @t40 @t50) (=> (and @t51 (tptp.point @t50) (tptp.distinct_points @t40 @t50)) (tptp.line (tptp.line_connecting @t40 @t50)))))
% 0.41/0.61  (assume @p28 (forall @t28 (=> (and @t52 (tptp.line @t24) @t27) (tptp.point (tptp.intersection_point @t25 @t24)))))
% 0.41/0.61  (assume @p29 (forall @t55 (=> @t54 (tptp.line @t53))))
% 0.41/0.61  (assume @p30 (forall @t55 (=> @t54 (tptp.line @t41))))
% 0.41/0.61  (assume @p31 (forall @t16 (= (tptp.equal_points @t1 @t4) (not @t6))))
% 0.41/0.61  (assume @p32 (forall @t16 (= (tptp.equal_lines @t1 @t4) (not @t9))))
% 0.41/0.61  (assume @p33 (forall @t16 (= (tptp.parallel_lines @t1 @t4) @t56)))
% 0.41/0.61  (assume @p34 (forall @t16 (= (tptp.incident_point_and_line @t1 @t4) (not @t20))))
% 0.41/0.61  (assume @p35 (forall @t16 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4)))))
% 0.41/0.61  (assume @p36 (not @t57))
% 0.41/0.61  (assume @p37 true)
% 0.41/0.61  (step @p38 :rule instantiate :premises (@p21) :args ((@list @t58 @t60)))
% 0.41/0.61  (step @p39 :rule cnf_and_pos :args (@t64 1))
% 0.41/0.61  (step @p40 :rule reordering :premises (@p39) :args ((or @t62 @t65)))
% 0.41/0.61  (step @p41 :rule chain_m_resolution :premises (@p40 @p38) :args (@t65 @t66 (@list @t62)))
% 0.41/0.61  (step @p42 :rule aci_norm :args ((= (or (or @t26 @t33) @t45) (or @t26 @t33 @t45))))
% 0.41/0.61  (step @p43 :rule refl :args (@t45))
% 0.41/0.61  (step @p44 :rule bool-double-not-elim :args (@t33))
% 0.41/0.61  (step @p45 :rule bool-double-not-elim :args (@t26))
% 0.41/0.61  (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t43) (not @t46))))
% 0.41/0.61  (step @p47 :rule bool-and-de-morgan :args (@t43 @t46 true))
% 0.41/0.61  (step @p48 :rule trans :premises (@p47 @p46))
% 0.41/0.61  (step @p49 :rule nary_cong :premises (@p48 @p43) :args ((or (not @t48) @t45)))
% 0.41/0.61  (step @p50 :rule trans :premises (@p49 @p42))
% 0.41/0.61  (step @p51 :rule bool-impl-elim :args (@t48 @t45))
% 0.41/0.61  (step @p52 :rule trans :premises (@p51 @p50))
% 0.41/0.61  (step @p53 :rule cong :premises (@p52) :args (@t49))
% 0.41/0.61  (step @p54 :rule eq_resolve :premises (@p26 @p53))
% 0.41/0.61  (step @p55 :rule instantiate :premises (@p54) :args (@t67))
% 0.41/0.61  (step @p56 :rule instantiate :premises (@p19) :args ((@list @t61 @t60)))
% 0.41/0.61  (step @p57 :rule cnf_or_pos :args (@t68))
% 0.41/0.61  (step @p58 :rule reordering :premises (@p57) :args ((or @t62 @t63 (not @t68))))
% 0.41/0.61  (step @p59 :rule chain_m_resolution :premises (@p58 @p38 @p56) :args (@t63 @t69 (@list @t62 @t68)))
% 0.41/0.61  (step @p60 :rule cnf_or_pos :args (@t72))
% 0.41/0.61  (step @p61 :rule reordering :premises (@p60) :args ((or @t62 @t70 @t71 (not @t72))))
% 0.41/0.61  (step @p62 :rule chain_m_resolution :premises (@p61 @p38 @p59 @p55) :args (@t71 @t73 (@list @t62 @t63 @t72)))
% 0.41/0.61  (step @p63 :rule aci_norm :args ((= (or @t47 @t36) (or @t44 @t43 @t35 @t32))))
% 0.41/0.61  (step @p64 :rule refl :args (@t36))
% 0.41/0.61  (step @p65 :rule bool-and-de-morgan :args (@t27 @t26 true))
% 0.41/0.61  (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t37) @t36)))
% 0.41/0.61  (step @p67 :rule trans :premises (@p66 @p63))
% 0.41/0.61  (step @p68 :rule bool-impl-elim :args (@t37 @t36))
% 0.41/0.61  (step @p69 :rule trans :premises (@p68 @p67))
% 0.41/0.61  (step @p70 :rule cong :premises (@p69) :args (@t39))
% 0.41/0.61  (step @p71 :rule eq_resolve :premises (@p20 @p70))
% 0.41/0.61  (step @p72 :rule instantiate :premises (@p71) :args (@t67))
% 0.41/0.61  (step @p73 :rule aci_norm :args ((= (or @t56 @t12) (or @t56 @t11 @t10))))
% 0.41/0.61  (step @p74 :rule bool-impl-elim :args (@t13 @t12))
% 0.41/0.61  (step @p75 :rule trans :premises (@p74 @p73))
% 0.41/0.61  (step @p76 :rule cong :premises (@p75) :args (@t14))
% 0.41/0.61  (step @p77 :rule eq_resolve :premises (@p6 @p76))
% 0.41/0.61  (step @p78 :rule instantiate :premises (@p77) :args ((@list @t61 @t60 @t61)))
% 0.41/0.61  (step @p79 :rule instantiate :premises (@p71) :args ((@list @t60 @t61 @t60)))
% 0.41/0.61  (step @p80 :rule instantiate :premises (@p54) :args ((@list @t60 @t61 @t59)))
% 0.41/0.61  (step @p81 :rule instantiate :premises (@p77) :args ((@list @t74 @t61 @t59)))
% 0.41/0.61  (step @p82 :rule bool-impl-elim :args (@t9 @t13))
% 0.41/0.61  (step @p83 :rule cong :premises (@p82) :args (@t22))
% 0.41/0.61  (step @p84 :rule eq_resolve :premises (@p15 @p83))
% 0.41/0.61  (step @p85 :rule instantiate :premises (@p84) :args (@t75))
% 0.41/0.61  (step @p86 :rule instantiate :premises (@p32) :args (@t75))
% 0.41/0.61  (step @p87 :rule skolemize :premises (@p36))
% 0.41/0.61  (step @p88 :rule bool-double-not-elim :args (@t76))
% 0.41/0.61  (step @p89 :rule refl :args (@t77))
% 0.41/0.61  (step @p90 :rule refl :args (@t80))
% 0.41/0.61  (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or @t80 @t77 (not @t78))))
% 0.41/0.61  (step @p92 :rule cnf_equiv_pos2 :args (@t79))
% 0.41/0.61  (step @p93 :rule eq_resolve :premises (@p92 @p91))
% 0.41/0.61  (step @p94 :rule reordering :premises (@p93) :args ((or @t77 @t76 @t80)))
% 0.41/0.61  (step @p95 :rule chain_m_resolution :premises (@p94 @p87 @p86) :args (@t76 @t69 (@list @t77 @t79)))
% 0.41/0.61  (step @p96 :rule cnf_or_pos :args (@t82))
% 0.41/0.61  (step @p97 :rule reordering :premises (@p96) :args ((or @t78 @t81 (not @t82))))
% 0.41/0.61  (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p85) :args (@t81 (@list false false) (@list @t76 @t82)))
% 0.41/0.61  (step @p99 :rule instantiate :premises (@p16) :args (@t83))
% 0.41/0.61  (step @p100 :rule cnf_or_pos :args (@t87))
% 0.41/0.61  (step @p101 :rule reordering :premises (@p100) :args ((or @t85 @t86 @t84 (not @t87))))
% 0.41/0.61  (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p98 @p81) :args (@t84 @t73 (@list @t85 @t81 @t87)))
% 0.41/0.61  (step @p103 :rule instantiate :premises (@p21) :args (@t83))
% 0.41/0.61  (step @p104 :rule cnf_or_pos :args (@t91))
% 0.41/0.61  (step @p105 :rule reordering :premises (@p104) :args ((or @t89 @t88 @t90 (not @t91))))
% 0.41/0.61  (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p102 @p80) :args (@t90 @t73 (@list @t89 @t84 @t91)))
% 0.41/0.61  (step @p107 :rule instantiate :premises (@p54) :args ((@list @t61 @t60 @t60)))
% 0.41/0.61  (step @p108 :rule cnf_or_pos :args (@t94))
% 0.41/0.61  (step @p109 :rule factoring :premises (@p108))
% 0.41/0.61  (step @p110 :rule reordering :premises (@p109) :args ((or @t62 @t93 (not @t94))))
% 0.41/0.61  (step @p111 :rule chain_m_resolution :premises (@p110 @p38 @p107) :args (@t93 @t69 (@list @t62 @t94)))
% 0.41/0.61  (step @p112 :rule cnf_and_pos :args (@t95 0))
% 0.41/0.61  (step @p113 :rule reordering :premises (@p112) :args ((or @t92 @t96)))
% 0.41/0.61  (step @p114 :rule chain_m_resolution :premises (@p113 @p111) :args (@t96 @t66 (@list @t92)))
% 0.41/0.61  (step @p115 :rule cnf_or_pos :args (@t100))
% 0.41/0.61  (step @p116 :rule reordering :premises (@p115) :args ((or @t95 @t99 @t97 @t64 (not @t100))))
% 0.41/0.61  (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p106 @p41 @p79) :args (@t99 (@list true false true false) (@list @t95 @t90 @t64 @t100)))
% 0.41/0.61  (step @p118 :rule cnf_or_pos :args (@t102))
% 0.41/0.61  (step @p119 :rule reordering :premises (@p118) :args ((or @t70 @t98 @t101 (not @t102))))
% 0.41/0.61  (step @p120 :rule chain_m_resolution :premises (@p119 @p59 @p117 @p78) :args (@t101 (@list false true false) (@list @t63 @t98 @t102)))
% 0.41/0.61  (step @p121 :rule cnf_or_pos :args (@t105))
% 0.41/0.61  (step @p122 :rule factoring :premises (@p121))
% 0.41/0.61  (step @p123 :rule reordering :premises (@p122) :args ((or @t64 @t103 @t104 (not @t105))))
% 0.41/0.61  (step @p124 false :rule chain_m_resolution :premises (@p123 @p120 @p72 @p62 @p41) :args (false (@list false false false true) (@list @t101 @t105 @t71 @t64)))
% 0.41/0.61  )
% 0.41/0.61  % SZS output end Proof
% 0.41/0.61  % cvc5 exiting
%------------------------------------------------------------------------------