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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GEO209+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 : n013.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 08:16:45 AM UTC 2026

% Result   : Theorem 0.38s 0.58s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO209+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
% 0.16/0.34  % Computer : n013.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Mon Jun  1 23:40:15 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.58  % SZS status Theorem
% 0.38/0.58  % SZS output start Proof
% 0.38/0.58  (
% 0.38/0.58  (declare-sort $$unsorted 0)
% 0.38/0.58  (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.58  (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.58  (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.58  (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.58  (declare-const tptp.line (-> $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.point (-> $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool))
% 0.38/0.58  (define @t1 () (@var "X" $$unsorted))
% 0.38/0.58  (define @t2 () (@list @t1))
% 0.38/0.58  (define @t3 () (@var "Z" $$unsorted))
% 0.38/0.58  (define @t4 () (@var "Y" $$unsorted))
% 0.38/0.58  (define @t5 () (tptp.distinct_points @t1 @t3))
% 0.38/0.58  (define @t6 () (tptp.distinct_points @t1 @t4))
% 0.38/0.58  (define @t7 () (@list @t1 @t4 @t3))
% 0.38/0.58  (define @t8 () (tptp.distinct_lines @t4 @t3))
% 0.38/0.58  (define @t9 () (tptp.distinct_lines @t1 @t3))
% 0.38/0.58  (define @t10 () (or @t9 @t8))
% 0.38/0.58  (define @t11 () (tptp.distinct_lines @t1 @t4))
% 0.38/0.58  (define @t12 () (forall @t7 (=> @t11 @t10)))
% 0.38/0.58  (define @t13 () (tptp.convergent_lines @t4 @t3))
% 0.38/0.58  (define @t14 () (tptp.convergent_lines @t1 @t3))
% 0.38/0.58  (define @t15 () (tptp.convergent_lines @t1 @t4))
% 0.38/0.58  (define @t16 () (tptp.line_connecting @t1 @t4))
% 0.38/0.58  (define @t17 () (@list @t1 @t4))
% 0.38/0.58  (define @t18 () (tptp.intersection_point @t1 @t4))
% 0.38/0.58  (define @t19 () (@var "V" $$unsorted))
% 0.38/0.58  (define @t20 () (@var "U" $$unsorted))
% 0.38/0.58  (define @t21 () (tptp.apart_point_and_line @t1 @t4))
% 0.38/0.58  (define @t22 () (tptp.apart_point_and_line @t1 @t3))
% 0.38/0.58  (define @t23 () (forall @t17 (=> @t11 @t15)))
% 0.38/0.58  (define @t24 () (tptp.parallel_through_point @t4 @t1))
% 0.38/0.58  (define @t25 () (@var "M" $$unsorted))
% 0.38/0.58  (define @t26 () (@var "L" $$unsorted))
% 0.38/0.58  (define @t27 () (tptp.unorthogonal_lines @t26 @t25))
% 0.38/0.58  (define @t28 () (tptp.convergent_lines @t26 @t25))
% 0.38/0.58  (define @t29 () (@list @t26 @t25))
% 0.38/0.58  (define @t30 () (@var "N" $$unsorted))
% 0.38/0.58  (define @t31 () (tptp.unorthogonal_lines @t25 @t30))
% 0.38/0.58  (define @t32 () (tptp.convergent_lines @t25 @t30))
% 0.38/0.58  (define @t33 () (tptp.unorthogonal_lines @t26 @t30))
% 0.38/0.58  (define @t34 () (tptp.convergent_lines @t26 @t30))
% 0.38/0.58  (define @t35 () (@list @t26 @t25 @t30))
% 0.38/0.58  (define @t36 () (@var "A" $$unsorted))
% 0.38/0.58  (define @t37 () (tptp.orthogonal_through_point @t26 @t36))
% 0.38/0.58  (define @t38 () (@list @t36 @t26))
% 0.38/0.58  (define @t39 () (tptp.apart_point_and_line @t36 @t26))
% 0.38/0.58  (define @t40 () (@list @t36 @t26 @t25 @t30))
% 0.38/0.58  (define @t41 () (not @t27))
% 0.38/0.58  (define @t42 () (not @t28))
% 0.38/0.58  (define @t43 () (not @t32))
% 0.38/0.58  (define @t44 () (not @t33))
% 0.38/0.58  (define @t45 () (@var "B" $$unsorted))
% 0.38/0.58  (define @t46 () (tptp.point @t36))
% 0.38/0.58  (define @t47 () (tptp.line @t26))
% 0.38/0.58  (define @t48 () (and @t47 @t46))
% 0.38/0.58  (define @t49 () (@list @t26 @t36))
% 0.38/0.58  (define @t50 () (not @t11))
% 0.38/0.58  (define @t51 () (tptp.equal_lines @t25 @t30))
% 0.38/0.58  (define @t52 () (tptp.parallel_lines @t30 @t26))
% 0.38/0.58  (define @t53 () (tptp.parallel_lines @t25 @t26))
% 0.38/0.58  (define @t54 () (tptp.incident_point_and_line @t36 @t30))
% 0.38/0.58  (define @t55 () (tptp.incident_point_and_line @t36 @t25))
% 0.38/0.58  (define @t56 () (and @t39 @t55 @t54 @t53 @t52))
% 0.38/0.58  (define @t57 () (forall @t40 (=> @t56 @t51)))
% 0.38/0.58  (define @t58 () (not @t57))
% 0.38/0.58  (define @t59 () (or @t50 @t9 @t8))
% 0.38/0.58  (define @t60 () (not @t52))
% 0.38/0.58  (define @t61 () (not @t53))
% 0.38/0.58  (define @t62 () (not @t54))
% 0.38/0.58  (define @t63 () (not @t55))
% 0.38/0.58  (define @t64 () (not @t39))
% 0.38/0.58  (define @t65 () (or @t64 @t63 @t62 @t61 @t60 @t51))
% 0.38/0.58  (define @t66 () (forall @t40 @t65))
% 0.38/0.58  (define @t67 () (@quantifiers_skolemize @t66 1))
% 0.38/0.58  (define @t68 () (@quantifiers_skolemize @t66 3))
% 0.38/0.58  (define @t69 () (@list @t68 @t67))
% 0.38/0.58  (define @t70 () (or @t64 @t63 @t62 @t61 @t60))
% 0.38/0.58  (define @t71 () (tptp.parallel_lines @t68 @t67))
% 0.38/0.58  (define @t72 () (@quantifiers_skolemize @t66 2))
% 0.38/0.58  (define @t73 () (tptp.equal_lines @t72 @t68))
% 0.38/0.58  (define @t74 () (not @t71))
% 0.38/0.58  (define @t75 () (tptp.parallel_lines @t72 @t67))
% 0.38/0.58  (define @t76 () (not @t75))
% 0.38/0.58  (define @t77 () (@quantifiers_skolemize @t66 0))
% 0.38/0.58  (define @t78 () (or (not (tptp.apart_point_and_line @t77 @t67)) (not (tptp.incident_point_and_line @t77 @t72)) (not (tptp.incident_point_and_line @t77 @t68)) @t76 @t74 @t73))
% 0.38/0.58  (define @t79 () (@list true))
% 0.38/0.58  (define @t80 () (@list @t78))
% 0.38/0.58  (define @t81 () (tptp.convergent_lines @t68 @t67))
% 0.38/0.58  (define @t82 () (not @t81))
% 0.38/0.58  (define @t83 () (= @t71 @t82))
% 0.38/0.58  (define @t84 () (@list false false))
% 0.38/0.58  (define @t85 () (tptp.distinct_lines @t68 @t67))
% 0.38/0.58  (define @t86 () (not @t85))
% 0.38/0.58  (define @t87 () (or @t86 @t81))
% 0.38/0.58  (define @t88 () (@list true false))
% 0.38/0.58  (define @t89 () (@list @t72 @t67))
% 0.38/0.58  (define @t90 () (tptp.convergent_lines @t72 @t67))
% 0.38/0.58  (define @t91 () (not @t90))
% 0.38/0.58  (define @t92 () (= @t75 @t91))
% 0.38/0.58  (define @t93 () (tptp.distinct_lines @t72 @t67))
% 0.38/0.58  (define @t94 () (not @t93))
% 0.38/0.58  (define @t95 () (or @t94 @t90))
% 0.38/0.58  (define @t96 () (tptp.distinct_lines @t72 @t68))
% 0.38/0.58  (define @t97 () (not @t96))
% 0.38/0.58  (define @t98 () (= @t73 @t97))
% 0.38/0.58  (define @t99 () (not @t98))
% 0.38/0.58  (define @t100 () (or @t97 @t93 @t85))
% 0.38/0.58  (define @t101 () (not @t100))
% 0.38/0.58  (define @t102 () (forall @t7 @t59))
% 0.38/0.58  (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1))))
% 0.38/0.58  (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1))))
% 0.38/0.58  (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1))))
% 0.38/0.58  (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3)))))
% 0.38/0.58  (assume @p5 @t12)
% 0.38/0.58  (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13))))
% 0.38/0.58  (assume @p7 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t1 @t16)))))
% 0.38/0.58  (assume @p8 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t4 @t16)))))
% 0.38/0.58  (assume @p9 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t1)))))
% 0.38/0.58  (assume @p10 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t4)))))
% 0.38/0.58  (assume @p11 (forall (@list @t1 @t4 @t20 @t19) (=> (and @t6 (tptp.distinct_lines @t20 @t19)) (or (tptp.apart_point_and_line @t1 @t20) (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t4 @t20) (tptp.apart_point_and_line @t4 @t19)))))
% 0.38/0.58  (assume @p12 (forall @t7 (=> @t21 (or @t5 (tptp.apart_point_and_line @t3 @t4)))))
% 0.38/0.58  (assume @p13 (forall @t7 (=> @t21 (or @t8 @t22))))
% 0.38/0.58  (assume @p14 (forall @t7 (=> @t15 (or @t8 @t14))))
% 0.38/0.58  (assume @p15 @t23)
% 0.38/0.58  (assume @p16 (forall @t17 (not (tptp.convergent_lines @t24 @t4))))
% 0.38/0.58  (assume @p17 (forall @t17 (not (tptp.apart_point_and_line @t1 @t24))))
% 0.38/0.58  (assume @p18 (forall @t7 (=> @t8 (or @t21 @t22 @t13))))
% 0.38/0.58  (assume @p19 (forall @t29 (or @t28 @t27)))
% 0.38/0.58  (assume @p20 (forall @t35 (=> (and @t28 @t27) (or (and @t34 @t33) (and @t32 @t31)))))
% 0.38/0.58  (assume @p21 (forall @t38 (not (tptp.unorthogonal_lines @t37 @t26))))
% 0.38/0.58  (assume @p22 (forall @t38 (not (tptp.apart_point_and_line @t36 @t37))))
% 0.38/0.58  (assume @p23 (forall @t40 (=> (tptp.distinct_lines @t26 @t25) (or @t39 (tptp.apart_point_and_line @t36 @t25) @t33 @t31))))
% 0.38/0.58  (assume @p24 (forall @t29 (not (and @t42 @t41))))
% 0.38/0.58  (assume @p25 (forall @t35 (=> (and (or @t42 @t41) (or (not @t34) @t44)) (or @t43 (not @t31)))))
% 0.38/0.58  (assume @p26 (forall @t35 (=> (and @t41 @t44) @t43)))
% 0.38/0.58  (assume @p27 (forall (@list @t36 @t45) (=> (and @t46 (tptp.point @t45) (tptp.distinct_points @t36 @t45)) (tptp.line (tptp.line_connecting @t36 @t45)))))
% 0.38/0.58  (assume @p28 (forall @t29 (=> (and @t47 (tptp.line @t25) @t28) (tptp.point (tptp.intersection_point @t26 @t25)))))
% 0.38/0.58  (assume @p29 (forall @t49 (=> @t48 (tptp.line (tptp.parallel_through_point @t26 @t36)))))
% 0.38/0.58  (assume @p30 (forall @t49 (=> @t48 (tptp.line @t37))))
% 0.38/0.58  (assume @p31 (forall @t17 (= (tptp.equal_points @t1 @t4) (not @t6))))
% 0.38/0.58  (assume @p32 (forall @t17 (= (tptp.equal_lines @t1 @t4) @t50)))
% 0.38/0.58  (assume @p33 (forall @t17 (= (tptp.parallel_lines @t1 @t4) (not @t15))))
% 0.38/0.58  (assume @p34 (forall @t17 (= (tptp.incident_point_and_line @t1 @t4) (not @t21))))
% 0.38/0.58  (assume @p35 (forall @t17 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4)))))
% 0.38/0.58  (assume @p36 @t58)
% 0.38/0.58  (assume @p37 true)
% 0.38/0.58  (step @p38 :rule aci_norm :args ((= (or @t50 @t10) @t59)))
% 0.38/0.58  (step @p39 :rule bool-impl-elim :args (@t11 @t10))
% 0.38/0.58  (step @p40 :rule trans :premises (@p39 @p38))
% 0.38/0.58  (step @p41 :rule cong :premises (@p40) :args (@t12))
% 0.38/0.58  (step @p42 :rule eq_resolve :premises (@p5 @p41))
% 0.38/0.58  (step @p43 :rule bool-impl-elim :args (@t11 @t15))
% 0.38/0.58  (step @p44 :rule cong :premises (@p43) :args (@t23))
% 0.38/0.58  (step @p45 :rule eq_resolve :premises (@p15 @p44))
% 0.38/0.58  (step @p46 :rule instantiate :premises (@p45) :args (@t69))
% 0.38/0.58  (step @p47 :rule instantiate :premises (@p33) :args (@t69))
% 0.38/0.58  (step @p48 :rule aci_norm :args ((= (or @t70 @t51) @t65)))
% 0.38/0.58  (step @p49 :rule refl :args (@t51))
% 0.38/0.58  (step @p50 :rule aci_norm :args ((= (or @t64 (or @t63 (or @t62 (or @t61 @t60)))) @t70)))
% 0.38/0.58  (step @p51 :rule bool-and-de-morgan :args (@t53 @t52 true))
% 0.38/0.58  (step @p52 :rule refl :args (@t62))
% 0.38/0.58  (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t62 (not (and @t53 @t52)))))
% 0.38/0.58  (step @p54 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52)))
% 0.38/0.58  (step @p55 :rule trans :premises (@p54 @p53))
% 0.38/0.58  (step @p56 :rule refl :args (@t63))
% 0.38/0.58  (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t63 (not (and @t54 @t53 @t52)))))
% 0.38/0.58  (step @p58 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t52)))
% 0.38/0.58  (step @p59 :rule trans :premises (@p58 @p57))
% 0.38/0.58  (step @p60 :rule refl :args (@t64))
% 0.38/0.58  (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t64 (not (and @t55 @t54 @t53 @t52)))))
% 0.38/0.58  (step @p62 :rule bool-and-de-morgan :args (@t39 @t55 (and @t54 @t53 @t52)))
% 0.38/0.58  (step @p63 :rule trans :premises (@p62 @p61))
% 0.38/0.58  (step @p64 :rule trans :premises (@p63 @p50))
% 0.38/0.58  (step @p65 :rule nary_cong :premises (@p64 @p49) :args ((or (not @t56) @t51)))
% 0.38/0.58  (step @p66 :rule trans :premises (@p65 @p48))
% 0.38/0.58  (step @p67 :rule bool-impl-elim :args (@t56 @t51))
% 0.38/0.58  (step @p68 :rule trans :premises (@p67 @p66))
% 0.38/0.58  (step @p69 :rule cong :premises (@p68) :args (@t57))
% 0.38/0.58  (step @p70 :rule cong :premises (@p69) :args (@t58))
% 0.38/0.58  (step @p71 :rule eq_resolve :premises (@p36 @p70))
% 0.38/0.58  (step @p72 :rule skolemize :premises (@p71))
% 0.38/0.58  (step @p73 :rule bool-double-not-elim :args (@t71))
% 0.38/0.58  (step @p74 :rule refl :args (@t78))
% 0.38/0.58  (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t78 (not @t74))))
% 0.38/0.58  (step @p76 :rule cnf_or_neg :args (@t78 4))
% 0.38/0.58  (step @p77 :rule eq_resolve :premises (@p76 @p75))
% 0.38/0.58  (step @p78 :rule reordering :premises (@p77) :args ((or @t71 @t78)))
% 0.38/0.58  (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t71 @t79 @t80))
% 0.38/0.58  (step @p80 :rule cnf_equiv_pos1 :args (@t83))
% 0.38/0.58  (step @p81 :rule reordering :premises (@p80) :args ((or @t74 @t82 (not @t83))))
% 0.38/0.58  (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p47) :args (@t82 @t84 (@list @t71 @t83)))
% 0.38/0.58  (step @p83 :rule cnf_or_pos :args (@t87))
% 0.38/0.58  (step @p84 :rule reordering :premises (@p83) :args ((or @t81 @t86 (not @t87))))
% 0.38/0.58  (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p46) :args (@t86 @t88 (@list @t81 @t87)))
% 0.38/0.58  (step @p86 :rule instantiate :premises (@p45) :args (@t89))
% 0.38/0.58  (step @p87 :rule instantiate :premises (@p33) :args (@t89))
% 0.38/0.58  (step @p88 :rule bool-double-not-elim :args (@t75))
% 0.38/0.58  (step @p89 :rule nary_cong :premises (@p74 @p88) :args ((or @t78 (not @t76))))
% 0.38/0.58  (step @p90 :rule cnf_or_neg :args (@t78 3))
% 0.38/0.58  (step @p91 :rule eq_resolve :premises (@p90 @p89))
% 0.38/0.58  (step @p92 :rule reordering :premises (@p91) :args ((or @t75 @t78)))
% 0.38/0.58  (step @p93 :rule chain_m_resolution :premises (@p92 @p72) :args (@t75 @t79 @t80))
% 0.38/0.58  (step @p94 :rule cnf_equiv_pos1 :args (@t92))
% 0.38/0.58  (step @p95 :rule reordering :premises (@p94) :args ((or @t76 @t91 (not @t92))))
% 0.38/0.58  (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p87) :args (@t91 @t84 (@list @t75 @t92)))
% 0.38/0.58  (step @p97 :rule cnf_or_pos :args (@t95))
% 0.38/0.58  (step @p98 :rule reordering :premises (@p97) :args ((or @t90 @t94 (not @t95))))
% 0.38/0.58  (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p86) :args (@t94 @t88 (@list @t90 @t95)))
% 0.38/0.58  (step @p100 :rule instantiate :premises (@p32) :args ((@list @t72 @t68)))
% 0.38/0.58  (step @p101 :rule cnf_or_neg :args (@t78 5))
% 0.38/0.58  (step @p102 :rule chain_m_resolution :premises (@p101 @p72) :args ((not @t73) @t79 @t80))
% 0.38/0.58  (step @p103 :rule bool-double-not-elim :args (@t96))
% 0.38/0.58  (step @p104 :rule refl :args (@t73))
% 0.38/0.58  (step @p105 :rule refl :args (@t99))
% 0.38/0.58  (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args ((or @t99 @t73 (not @t97))))
% 0.38/0.58  (step @p107 :rule cnf_equiv_pos2 :args (@t98))
% 0.38/0.58  (step @p108 :rule eq_resolve :premises (@p107 @p106))
% 0.38/0.58  (step @p109 :rule reordering :premises (@p108) :args ((or @t73 @t96 @t99)))
% 0.38/0.58  (step @p110 :rule chain_m_resolution :premises (@p109 @p102 @p100) :args (@t96 @t88 (@list @t73 @t98)))
% 0.38/0.58  (step @p111 :rule cnf_or_pos :args (@t100))
% 0.38/0.58  (step @p112 :rule reordering :premises (@p111) :args ((or @t97 @t93 @t85 @t101)))
% 0.38/0.58  (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p99 @p85) :args (@t101 (@list false true true) (@list @t96 @t93 @t85)))
% 0.38/0.58  (assume-push @p120 @t102)
% 0.38/0.58  (step @p115 :rule instantiate :premises (@p42) :args ((@list @t72 @t68 @t67)))
% 0.38/0.58  (step-pop @p121 :rule scope :premises (@p115))
% 0.38/0.58  (step @p116 :rule process_scope :premises (@p121) :args (@t100))
% 0.38/0.58  (step @p118 :rule implies_elim :premises (@p116))
% 0.38/0.58  (step @p119 false :rule chain_m_resolution :premises (@p118 @p113 @p42) :args (false @t88 (@list @t100 @t102)))
% 0.38/0.58  )
% 0.38/0.58  % SZS output end Proof
% 0.38/0.58  % cvc5 exiting
%------------------------------------------------------------------------------