%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE029+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:28:09 AM UTC 2026 % Result : Theorem 0.50s 0.79s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : KLE029+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.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 : Tue Jun 2 05:10:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.50/0.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.79 % SZS status Theorem % 0.50/0.79 % SZS output start Proof % 0.50/0.79 ( % 0.50/0.79 (declare-sort $$unsorted 0) % 0.50/0.79 (declare-const tptp.ismeetu (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.79 (declare-const tptp.ismeet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.79 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.79 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.50/0.79 (declare-const tptp.zero $$unsorted) % 0.50/0.79 (declare-const tptp.one $$unsorted) % 0.50/0.79 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.79 (define @t1 () (@var "A" $$unsorted)) % 0.50/0.79 (define @t2 () (@var "B" $$unsorted)) % 0.50/0.79 (define @t3 () (tptp.addition @t1 @t2)) % 0.50/0.79 (define @t4 () (@list @t1 @t2)) % 0.50/0.79 (define @t5 () (@var "C" $$unsorted)) % 0.50/0.79 (define @t6 () (tptp.addition @t2 @t5)) % 0.50/0.79 (define @t7 () (@list @t1)) % 0.50/0.79 (define @t8 () (tptp.addition @t1 @t1)) % 0.50/0.79 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.50/0.79 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.50/0.79 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.50/0.79 (define @t12 () (@list @t1 @t2 @t5)) % 0.50/0.79 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.50/0.79 (define @t14 () (tptp.leq @t1 @t2)) % 0.50/0.79 (define @t15 () (= @t14 (= @t3 @t2))) % 0.50/0.79 (define @t16 () (forall @t4 @t15)) % 0.50/0.79 (define @t17 () (@var "X2" $$unsorted)) % 0.50/0.79 (define @t18 () (@var "X3" $$unsorted)) % 0.50/0.79 (define @t19 () (tptp.leq @t18 @t17)) % 0.50/0.79 (define @t20 () (@var "X1" $$unsorted)) % 0.50/0.79 (define @t21 () (tptp.leq @t18 @t20)) % 0.50/0.79 (define @t22 () (@var "X0" $$unsorted)) % 0.50/0.79 (define @t23 () (tptp.leq @t18 @t22)) % 0.50/0.79 (define @t24 () (and @t23 @t21)) % 0.50/0.79 (define @t25 () (@list @t18)) % 0.50/0.79 (define @t26 () (forall @t25 (=> @t24 @t19))) % 0.50/0.79 (define @t27 () (tptp.leq @t17 @t20)) % 0.50/0.79 (define @t28 () (tptp.leq @t17 @t22)) % 0.50/0.79 (define @t29 () (and @t28 @t27 @t26)) % 0.50/0.79 (define @t30 () (tptp.ismeet @t17 @t22 @t20)) % 0.50/0.79 (define @t31 () (= @t30 @t29)) % 0.50/0.79 (define @t32 () (@list @t22 @t20 @t17)) % 0.50/0.79 (define @t33 () (forall @t32 @t31)) % 0.50/0.79 (define @t34 () (forall @t32 (= (tptp.ismeetu @t17 @t22 @t20) (forall @t25 (= @t24 @t19))))) % 0.50/0.79 (define @t35 () (forall @t32 (= (tptp.ismeet @t22 @t20 @t17) (tptp.ismeetu @t22 @t20 @t17)))) % 0.50/0.79 (define @t36 () (@quantifiers_skolemize @t35 2)) % 0.50/0.79 (define @t37 () (tptp.leq @t18 @t36)) % 0.50/0.79 (define @t38 () (@quantifiers_skolemize @t35 1)) % 0.50/0.79 (define @t39 () (tptp.leq @t18 @t38)) % 0.50/0.79 (define @t40 () (and @t39 @t37)) % 0.50/0.79 (define @t41 () (@quantifiers_skolemize @t35 0)) % 0.50/0.79 (define @t42 () (tptp.leq @t18 @t41)) % 0.50/0.79 (define @t43 () (forall @t25 (= @t42 @t40))) % 0.50/0.79 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.50/0.79 (define @t45 () (tptp.leq @t44 @t36)) % 0.50/0.79 (define @t46 () (tptp.leq @t44 @t38)) % 0.50/0.79 (define @t47 () (and @t46 @t45)) % 0.50/0.79 (define @t48 () (not @t47)) % 0.50/0.79 (define @t49 () (forall @t25 (= @t40 @t42))) % 0.50/0.79 (define @t50 () (tptp.ismeetu @t41 @t38 @t36)) % 0.50/0.79 (define @t51 () (= @t50 @t49)) % 0.50/0.79 (define @t52 () (@list @t38 @t36 @t41)) % 0.50/0.79 (define @t53 () (= @t50 @t43)) % 0.50/0.79 (define @t54 () (@list false)) % 0.50/0.79 (define @t55 () (tptp.ismeet @t41 @t38 @t36)) % 0.50/0.79 (define @t56 () (= @t55 @t50)) % 0.50/0.79 (define @t57 () (not @t21)) % 0.50/0.79 (define @t58 () (not @t23)) % 0.50/0.79 (define @t59 () (forall @t25 (or (not @t39) (not @t37) @t42))) % 0.50/0.79 (define @t60 () (tptp.leq @t41 @t36)) % 0.50/0.79 (define @t61 () (tptp.leq @t41 @t38)) % 0.50/0.79 (define @t62 () (and @t61 @t60 @t59)) % 0.50/0.79 (define @t63 () (= @t55 @t62)) % 0.50/0.79 (define @t64 () (not @t63)) % 0.50/0.79 (define @t65 () (not @t62)) % 0.50/0.79 (define @t66 () (not @t53)) % 0.50/0.79 (define @t67 () (not @t50)) % 0.50/0.79 (define @t68 () (@quantifiers_skolemize @t59 0)) % 0.50/0.79 (define @t69 () (tptp.leq @t68 @t36)) % 0.50/0.79 (define @t70 () (tptp.leq @t68 @t38)) % 0.50/0.79 (define @t71 () (and @t70 @t69)) % 0.50/0.79 (define @t72 () (tptp.leq @t68 @t41)) % 0.50/0.79 (define @t73 () (= @t72 @t71)) % 0.50/0.79 (define @t74 () (@list @t41)) % 0.50/0.79 (define @t75 () (and @t61 @t60)) % 0.50/0.79 (define @t76 () (tptp.leq @t41 @t41)) % 0.50/0.79 (define @t77 () (= @t76 @t75)) % 0.50/0.79 (define @t78 () (= @t41 (tptp.addition @t41 @t41))) % 0.50/0.79 (define @t79 () (= @t76 @t78)) % 0.50/0.79 (define @t80 () (@list false false)) % 0.50/0.79 (define @t81 () (not @t75)) % 0.50/0.79 (define @t82 () (not @t69)) % 0.50/0.79 (define @t83 () (not @t70)) % 0.50/0.79 (define @t84 () (or @t83 @t82 @t72)) % 0.50/0.79 (define @t85 () (not @t84)) % 0.50/0.79 (define @t86 () (not @t59)) % 0.50/0.79 (define @t87 () (@list true false)) % 0.50/0.79 (define @t88 () (not @t43)) % 0.50/0.79 (define @t89 () (tptp.leq @t44 @t41)) % 0.50/0.79 (define @t90 () (= @t89 @t47)) % 0.50/0.79 (define @t91 () (not @t90)) % 0.50/0.79 (define @t92 () (@list @t62)) % 0.50/0.79 (define @t93 () (not @t45)) % 0.50/0.79 (define @t94 () (not @t46)) % 0.50/0.79 (define @t95 () (or @t94 @t93 @t89)) % 0.50/0.79 (define @t96 () (tptp.addition @t44 @t41)) % 0.50/0.79 (define @t97 () (= @t41 @t96)) % 0.50/0.79 (define @t98 () (= @t89 @t97)) % 0.50/0.79 (define @t99 () (tptp.addition @t41 @t36)) % 0.50/0.79 (define @t100 () (= @t36 @t99)) % 0.50/0.79 (define @t101 () (= @t60 @t100)) % 0.50/0.79 (define @t102 () (tptp.addition @t44 @t99)) % 0.50/0.79 (define @t103 () (= @t102 (tptp.addition @t96 @t36))) % 0.50/0.79 (define @t104 () (= @t36 (tptp.addition @t44 @t36))) % 0.50/0.79 (define @t105 () (and @t100 @t97 @t103)) % 0.50/0.79 (define @t106 () (not @t97)) % 0.50/0.79 (define @t107 () (@list false false false)) % 0.50/0.79 (define @t108 () (= @t45 @t104)) % 0.50/0.79 (define @t109 () (tptp.addition @t41 @t38)) % 0.50/0.79 (define @t110 () (= @t38 @t109)) % 0.50/0.79 (define @t111 () (= @t61 @t110)) % 0.50/0.79 (define @t112 () (tptp.addition @t44 @t109)) % 0.50/0.79 (define @t113 () (= @t112 (tptp.addition @t96 @t38))) % 0.50/0.79 (define @t114 () (= @t38 (tptp.addition @t44 @t38))) % 0.50/0.79 (define @t115 () (and @t110 @t97 @t113)) % 0.50/0.79 (define @t116 () (= @t46 @t114)) % 0.50/0.79 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.50/0.79 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.50/0.79 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.50/0.79 (assume @p4 @t9) % 0.50/0.79 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.50/0.79 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.50/0.79 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.50/0.79 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.50/0.79 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.50/0.79 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.50/0.79 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.50/0.79 (assume @p12 @t16) % 0.50/0.79 (assume @p13 @t33) % 0.50/0.79 (assume @p14 @t34) % 0.50/0.79 (assume @p15 (not @t35)) % 0.50/0.79 (assume @p16 true) % 0.50/0.79 (step @p17 :rule cnf_and_pos :args (@t47 0)) % 0.50/0.79 (step @p18 :rule reordering :premises (@p17) :args ((or @t46 @t48))) % 0.50/0.79 (step @p19 :rule cnf_and_pos :args (@t47 1)) % 0.50/0.79 (step @p20 :rule reordering :premises (@p19) :args ((or @t45 @t48))) % 0.50/0.79 (step @p21 :rule eq-symm :args (@t40 @t42)) % 0.50/0.79 (step @p22 :rule cong :premises (@p21) :args (@t49)) % 0.50/0.79 (step @p23 :rule refl :args (@t50)) % 0.50/0.79 (step @p24 :rule cong :premises (@p23 @p22) :args (@t51)) % 0.50/0.79 (step @p25 :rule refl :args (@t34)) % 0.50/0.79 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t34 @t51))) % 0.50/0.79 (assume-push @p232 @t34) % 0.50/0.79 (step @p28 :rule instantiate :premises (@p14) :args (@t52)) % 0.50/0.79 (step-pop @p233 :rule scope :premises (@p28)) % 0.50/0.79 (step @p29 :rule process_scope :premises (@p233) :args (@t51)) % 0.50/0.79 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.50/0.79 (step @p32 :rule implies_elim :premises (@p31)) % 0.50/0.79 (step @p33 :rule chain_m_resolution :premises (@p32 @p14) :args (@t53 @t54 (@list @t34))) % 0.50/0.79 (step @p34 :rule skolemize :premises (@p15)) % 0.50/0.79 (step @p35 :rule cnf_equiv_neg1 :args (@t56)) % 0.50/0.79 (step @p36 :rule reordering :premises (@p35) :args ((or @t55 @t50 @t56))) % 0.50/0.79 (step @p37 :rule aci_norm :args ((= (or (or @t58 @t57) @t19) (or @t58 @t57 @t19)))) % 0.50/0.79 (step @p38 :rule refl :args (@t19)) % 0.50/0.79 (step @p39 :rule bool-and-de-morgan :args (@t23 @t21 true)) % 0.50/0.79 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t24) @t19))) % 0.50/0.79 (step @p41 :rule trans :premises (@p40 @p37)) % 0.50/0.79 (step @p42 :rule bool-impl-elim :args (@t24 @t19)) % 0.50/0.79 (step @p43 :rule trans :premises (@p42 @p41)) % 0.50/0.79 (step @p44 :rule cong :premises (@p43) :args (@t26)) % 0.50/0.79 (step @p45 :rule refl :args (@t27)) % 0.50/0.79 (step @p46 :rule refl :args (@t28)) % 0.50/0.79 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t29)) % 0.50/0.79 (step @p48 :rule refl :args (@t30)) % 0.50/0.79 (step @p49 :rule cong :premises (@p48 @p47) :args (@t31)) % 0.50/0.79 (step @p50 :rule cong :premises (@p49) :args (@t33)) % 0.50/0.79 (step @p51 :rule eq_resolve :premises (@p13 @p50)) % 0.50/0.79 (step @p52 :rule instantiate :premises (@p51) :args (@t52)) % 0.50/0.79 (step @p53 :rule cnf_equiv_pos2 :args (@t63)) % 0.50/0.79 (step @p54 :rule reordering :premises (@p53) :args ((or @t55 @t65 @t64))) % 0.50/0.79 (step @p55 :rule cnf_equiv_pos1 :args (@t53)) % 0.50/0.79 (step @p56 :rule reordering :premises (@p55) :args ((or @t67 @t43 @t66))) % 0.50/0.79 (assume-push @p234 @t43) % 0.50/0.79 (step @p58 :rule instantiate :premises (@p234) :args ((@list @t68))) % 0.50/0.79 (step-pop @p235 :rule scope :premises (@p58)) % 0.50/0.79 (step @p59 :rule process_scope :premises (@p235) :args (@t73)) % 0.50/0.79 (step @p61 :rule implies_elim :premises (@p59)) % 0.50/0.79 (assume-push @p236 @t43) % 0.50/0.79 (step @p63 :rule instantiate :premises (@p236) :args (@t74)) % 0.50/0.79 (step-pop @p237 :rule scope :premises (@p63)) % 0.50/0.79 (step @p64 :rule process_scope :premises (@p237) :args (@t77)) % 0.50/0.79 (step @p66 :rule implies_elim :premises (@p64)) % 0.50/0.79 (step @p67 :rule eq-symm :args (@t3 @t2)) % 0.50/0.79 (step @p68 :rule refl :args (@t14)) % 0.50/0.79 (step @p69 :rule cong :premises (@p68 @p67) :args (@t15)) % 0.50/0.79 (step @p70 :rule cong :premises (@p69) :args (@t16)) % 0.50/0.79 (step @p71 :rule eq_resolve :premises (@p12 @p70)) % 0.50/0.79 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t41 @t41))) % 0.50/0.79 (step @p73 :rule eq-symm :args (@t8 @t1)) % 0.50/0.79 (step @p74 :rule cong :premises (@p73) :args (@t9)) % 0.50/0.79 (step @p75 :rule eq_resolve :premises (@p4 @p74)) % 0.50/0.79 (step @p76 :rule instantiate :premises (@p75) :args (@t74)) % 0.50/0.79 (step @p77 :rule cnf_equiv_pos2 :args (@t79)) % 0.50/0.79 (step @p78 :rule reordering :premises (@p77) :args ((or @t76 (not @t78) (not @t79)))) % 0.50/0.79 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p72) :args (@t76 @t80 (@list @t78 @t79))) % 0.50/0.79 (step @p80 :rule cnf_equiv_pos1 :args (@t77)) % 0.50/0.79 (step @p81 :rule reordering :premises (@p80) :args ((or @t75 (not @t76) (not @t77)))) % 0.50/0.79 (step @p82 :rule cnf_and_pos :args (@t75 0)) % 0.50/0.79 (step @p83 :rule reordering :premises (@p82) :args ((or @t61 @t81))) % 0.50/0.79 (step @p84 :rule cnf_and_pos :args (@t75 1)) % 0.50/0.79 (step @p85 :rule reordering :premises (@p84) :args ((or @t60 @t81))) % 0.50/0.79 (step @p86 :rule cnf_and_neg :args (@t62)) % 0.50/0.79 (step @p87 :rule refl :args (@t85)) % 0.50/0.79 (step @p88 :rule bool-double-not-elim :args (@t59)) % 0.50/0.79 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t86) @t85))) % 0.50/0.79 (assume-push @p238 @t86) % 0.50/0.79 (step @p91 :rule skolemize :premises (@p238)) % 0.50/0.79 (step-pop @p239 :rule scope :premises (@p91)) % 0.50/0.79 (step @p92 :rule process_scope :premises (@p239) :args (@t85)) % 0.50/0.79 (step @p94 :rule implies_elim :premises (@p92)) % 0.50/0.79 (step @p95 :rule eq_resolve :premises (@p94 @p89)) % 0.50/0.79 (step @p96 :rule bool-double-not-elim :args (@t70)) % 0.50/0.79 (step @p97 :rule refl :args (@t84)) % 0.50/0.79 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t84 (not @t83)))) % 0.50/0.79 (step @p99 :rule cnf_or_neg :args (@t84 0)) % 0.50/0.79 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.50/0.79 (step @p101 :rule reordering :premises (@p100) :args ((or @t70 @t84))) % 0.50/0.79 (step @p102 :rule bool-double-not-elim :args (@t69)) % 0.50/0.79 (step @p103 :rule nary_cong :premises (@p97 @p102) :args ((or @t84 (not @t82)))) % 0.50/0.79 (step @p104 :rule cnf_or_neg :args (@t84 1)) % 0.50/0.79 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.50/0.79 (step @p106 :rule reordering :premises (@p105) :args ((or @t69 @t84))) % 0.50/0.79 (step @p107 :rule cnf_or_neg :args (@t84 2)) % 0.50/0.79 (step @p108 :rule cnf_and_neg :args (@t71)) % 0.50/0.79 (step @p109 :rule reordering :premises (@p108) :args ((or @t83 @t82 @t71))) % 0.50/0.79 (step @p110 :rule cnf_equiv_pos2 :args (@t73)) % 0.50/0.79 (step @p111 :rule reordering :premises (@p110) :args ((or @t72 (not @t71) (not @t73)))) % 0.50/0.79 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p107 @p106 @p101 @p95 @p86 @p85 @p83 @p81 @p79 @p66 @p61 @p56 @p33 @p54 @p52 @p36 @p34) :args (@t55 (@list false true false false true true false false false false false false false false true false false true) (@list @t71 @t72 @t69 @t70 @t84 @t59 @t60 @t61 @t75 @t76 @t77 @t73 @t43 @t53 @t62 @t63 @t50 @t56))) % 0.50/0.79 (step @p113 :rule cnf_equiv_neg2 :args (@t56)) % 0.50/0.79 (step @p114 :rule chain_m_resolution :premises (@p113 @p34 @p112) :args (@t67 @t87 (@list @t56 @t55))) % 0.50/0.79 (step @p115 :rule cnf_equiv_pos2 :args (@t53)) % 0.50/0.79 (step @p116 :rule reordering :premises (@p115) :args ((or @t50 @t88 @t66))) % 0.50/0.79 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p33) :args (@t88 @t87 (@list @t50 @t53))) % 0.50/0.79 (step @p118 :rule refl :args (@t91)) % 0.50/0.79 (step @p119 :rule bool-double-not-elim :args (@t43)) % 0.50/0.79 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t88) @t91))) % 0.50/0.79 (assume-push @p240 @t88) % 0.50/0.79 (step @p122 :rule skolemize :premises (@p240)) % 0.50/0.79 (step-pop @p241 :rule scope :premises (@p122)) % 0.50/0.79 (step @p123 :rule process_scope :premises (@p241) :args (@t91)) % 0.50/0.79 (step @p125 :rule implies_elim :premises (@p123)) % 0.50/0.79 (step @p126 :rule eq_resolve :premises (@p125 @p120)) % 0.50/0.79 (step @p127 :rule chain_m_resolution :premises (@p126 @p117) :args (@t91 (@list true) (@list @t43))) % 0.50/0.79 (step @p128 :rule cnf_equiv_neg2 :args (@t90)) % 0.50/0.79 (step @p129 :rule cnf_equiv_pos1 :args (@t63)) % 0.50/0.79 (step @p130 :rule reordering :premises (@p129) :args ((or (not @t55) @t62 @t64))) % 0.50/0.79 (step @p131 :rule chain_m_resolution :premises (@p130 @p112 @p52) :args (@t62 @t80 (@list @t55 @t63))) % 0.50/0.79 (step @p132 :rule cnf_and_pos :args (@t62 2)) % 0.50/0.79 (step @p133 :rule reordering :premises (@p132) :args ((or @t59 @t65))) % 0.50/0.79 (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t59 @t54 @t92)) % 0.50/0.79 (assume-push @p242 @t59) % 0.50/0.79 (step @p136 :rule instantiate :premises (@p242) :args ((@list @t44))) % 0.50/0.79 (step-pop @p243 :rule scope :premises (@p136)) % 0.50/0.79 (step @p137 :rule process_scope :premises (@p243) :args (@t95)) % 0.50/0.79 (step @p139 :rule implies_elim :premises (@p137)) % 0.50/0.79 (step @p140 :rule chain_m_resolution :premises (@p139 @p134) :args (@t95 @t54 (@list @t59))) % 0.50/0.79 (step @p141 :rule cnf_or_pos :args (@t95)) % 0.50/0.79 (step @p142 :rule reordering :premises (@p141) :args ((or @t89 @t94 @t93 (not @t95)))) % 0.50/0.79 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p128 @p127 @p20 @p18) :args (@t48 (@list false true true false false) (@list @t95 @t89 @t90 @t45 @t46))) % 0.50/0.79 (step @p144 :rule instantiate :premises (@p71) :args ((@list @t44 @t36))) % 0.50/0.79 (step @p145 :rule instantiate :premises (@p2) :args ((@list @t36 @t41 @t44))) % 0.50/0.79 (step @p146 :rule instantiate :premises (@p71) :args ((@list @t44 @t41))) % 0.50/0.79 (step @p147 :rule cnf_equiv_neg1 :args (@t90)) % 0.50/0.79 (step @p148 :rule reordering :premises (@p147) :args ((or @t89 @t47 @t90))) % 0.50/0.79 (step @p149 :rule chain_m_resolution :premises (@p148 @p143 @p127) :args (@t89 (@list true true) (@list @t47 @t90))) % 0.50/0.79 (step @p150 :rule cnf_equiv_pos1 :args (@t98)) % 0.50/0.79 (step @p151 :rule reordering :premises (@p150) :args ((or (not @t89) @t97 (not @t98)))) % 0.50/0.79 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p146) :args (@t97 @t80 (@list @t89 @t98))) % 0.50/0.79 (step @p153 :rule instantiate :premises (@p71) :args ((@list @t41 @t36))) % 0.50/0.79 (step @p154 :rule cnf_and_pos :args (@t62 1)) % 0.50/0.79 (step @p155 :rule reordering :premises (@p154) :args ((or @t60 @t65))) % 0.50/0.79 (step @p156 :rule chain_m_resolution :premises (@p155 @p131) :args (@t60 @t54 @t92)) % 0.50/0.79 (step @p157 :rule cnf_equiv_pos1 :args (@t101)) % 0.50/0.79 (step @p158 :rule reordering :premises (@p157) :args ((or (not @t60) @t100 (not @t101)))) % 0.50/0.79 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p153) :args (@t100 @t80 (@list @t60 @t101))) % 0.50/0.79 (assume-push @p244 @t100) % 0.50/0.79 (assume-push @p245 @t97) % 0.50/0.79 (assume-push @p246 @t103) % 0.50/0.79 (assume-push @p247 @t100) % 0.50/0.79 (assume-push @p248 @t103) % 0.50/0.79 (assume-push @p249 @t97) % 0.50/0.79 (step @p166 :rule symm :premises (@p244)) % 0.50/0.79 (step @p167 :rule refl :args (@t44)) % 0.50/0.79 (step @p168 :rule cong :premises (@p167 @p166) :args (@t102)) % 0.50/0.79 (step @p169 :rule symm :premises (@p145)) % 0.50/0.79 (step @p170 :rule refl :args (@t36)) % 0.50/0.79 (step @p171 :rule cong :premises (@p245 @p170) :args (@t99)) % 0.50/0.79 (step @p172 :rule trans :premises (@p244 @p171 @p169 @p168)) % 0.50/0.79 (step-pop @p250 :rule scope :premises (@p172)) % 0.50/0.79 (step-pop @p251 :rule scope :premises (@p250)) % 0.50/0.79 (step-pop @p252 :rule scope :premises (@p251)) % 0.50/0.79 (step @p173 :rule process_scope :premises (@p252) :args (@t104)) % 0.50/0.79 (step @p177 :rule and_intro :premises (@p244 @p145 @p245)) % 0.50/0.79 (step @p178 :rule modus_ponens :premises (@p177 @p173)) % 0.50/0.79 (step-pop @p253 :rule scope :premises (@p178)) % 0.50/0.79 (step-pop @p254 :rule scope :premises (@p253)) % 0.50/0.79 (step-pop @p255 :rule scope :premises (@p254)) % 0.50/0.79 (step @p179 :rule process_scope :premises (@p255) :args (@t104)) % 0.50/0.79 (step @p183 :rule implies_elim :premises (@p179)) % 0.50/0.79 (step @p184 :rule cnf_and_neg :args (@t105)) % 0.50/0.79 (step @p185 :rule resolution :premises (@p184 @p183) :args (true @t105)) % 0.50/0.79 (step @p186 :rule reordering :premises (@p185) :args ((or (not @t100) @t104 @t106 (not @t103)))) % 0.50/0.79 (step @p187 :rule chain_m_resolution :premises (@p186 @p159 @p152 @p145) :args (@t104 @t107 (@list @t100 @t97 @t103))) % 0.50/0.79 (step @p188 :rule cnf_equiv_pos2 :args (@t108)) % 0.50/0.79 (step @p189 :rule reordering :premises (@p188) :args ((or @t45 (not @t104) (not @t108)))) % 0.50/0.79 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p144) :args (@t45 @t80 (@list @t104 @t108))) % 0.50/0.80 (step @p191 :rule instantiate :premises (@p71) :args ((@list @t44 @t38))) % 0.50/0.80 (step @p192 :rule instantiate :premises (@p2) :args ((@list @t38 @t41 @t44))) % 0.50/0.80 (step @p193 :rule instantiate :premises (@p71) :args ((@list @t41 @t38))) % 0.50/0.80 (step @p194 :rule cnf_and_pos :args (@t62 0)) % 0.50/0.80 (step @p195 :rule reordering :premises (@p194) :args ((or @t61 @t65))) % 0.50/0.80 (step @p196 :rule chain_m_resolution :premises (@p195 @p131) :args (@t61 @t54 @t92)) % 0.50/0.80 (step @p197 :rule cnf_equiv_pos1 :args (@t111)) % 0.50/0.80 (step @p198 :rule reordering :premises (@p197) :args ((or (not @t61) @t110 (not @t111)))) % 0.50/0.80 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p193) :args (@t110 @t80 (@list @t61 @t111))) % 0.50/0.80 (assume-push @p256 @t110) % 0.50/0.80 (assume-push @p257 @t97) % 0.50/0.80 (assume-push @p258 @t113) % 0.50/0.80 (assume-push @p259 @t110) % 0.50/0.80 (assume-push @p260 @t113) % 0.50/0.80 (assume-push @p261 @t97) % 0.50/0.80 (step @p206 :rule symm :premises (@p256)) % 0.50/0.80 (step @p167 :rule refl :args (@t44)) % 0.50/0.80 (step @p207 :rule cong :premises (@p167 @p206) :args (@t112)) % 0.50/0.80 (step @p208 :rule symm :premises (@p192)) % 0.50/0.80 (step @p209 :rule refl :args (@t38)) % 0.50/0.80 (step @p210 :rule cong :premises (@p257 @p209) :args (@t109)) % 0.50/0.80 (step @p211 :rule trans :premises (@p256 @p210 @p208 @p207)) % 0.50/0.80 (step-pop @p262 :rule scope :premises (@p211)) % 0.50/0.80 (step-pop @p263 :rule scope :premises (@p262)) % 0.50/0.80 (step-pop @p264 :rule scope :premises (@p263)) % 0.50/0.80 (step @p212 :rule process_scope :premises (@p264) :args (@t114)) % 0.50/0.80 (step @p216 :rule and_intro :premises (@p256 @p192 @p257)) % 0.50/0.80 (step @p217 :rule modus_ponens :premises (@p216 @p212)) % 0.50/0.80 (step-pop @p265 :rule scope :premises (@p217)) % 0.50/0.80 (step-pop @p266 :rule scope :premises (@p265)) % 0.50/0.80 (step-pop @p267 :rule scope :premises (@p266)) % 0.50/0.80 (step @p218 :rule process_scope :premises (@p267) :args (@t114)) % 0.50/0.80 (step @p222 :rule implies_elim :premises (@p218)) % 0.50/0.80 (step @p223 :rule cnf_and_neg :args (@t115)) % 0.50/0.80 (step @p224 :rule resolution :premises (@p223 @p222) :args (true @t115)) % 0.50/0.80 (step @p225 :rule reordering :premises (@p224) :args ((or (not @t110) @t114 @t106 (not @t113)))) % 0.50/0.80 (step @p226 :rule chain_m_resolution :premises (@p225 @p199 @p152 @p192) :args (@t114 @t107 (@list @t110 @t97 @t113))) % 0.50/0.80 (step @p227 :rule cnf_equiv_pos2 :args (@t116)) % 0.50/0.80 (step @p228 :rule reordering :premises (@p227) :args ((or @t46 (not @t114) (not @t116)))) % 0.50/0.80 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p191) :args (@t46 @t80 (@list @t114 @t116))) % 0.50/0.80 (step @p230 :rule cnf_and_neg :args (@t47)) % 0.50/0.80 (step @p231 false :rule chain_m_resolution :premises (@p230 @p229 @p190 @p143) :args (false (@list false false true) (@list @t46 @t45 @t47))) % 0.50/0.80 ) % 0.50/0.80 % SZS output end Proof % 0.50/0.80 % cvc5 exiting %------------------------------------------------------------------------------