%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI009+1 : TPTP v9.2.1. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:43:12 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI009+1 : TPTP v9.2.1. Released v7.2.0. % 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 : n009.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 : Tue Jun 2 12:53:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.property (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.is_the (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.object (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.exemplifies_property (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "G" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.exemplifies_property @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t5 () (@var "F" $$unsorted)) % 0.38/0.56 (define @t6 () (tptp.exemplifies_property @t5 @t4)) % 0.38/0.56 (define @t7 () (=> @t6 (= @t4 @t1))) % 0.38/0.56 (define @t8 () (tptp.object @t4)) % 0.38/0.56 (define @t9 () (=> @t8 @t7)) % 0.38/0.56 (define @t10 () (@list @t4)) % 0.38/0.56 (define @t11 () (forall @t10 @t9)) % 0.38/0.56 (define @t12 () (tptp.exemplifies_property @t5 @t1)) % 0.38/0.56 (define @t13 () (tptp.object @t1)) % 0.38/0.56 (define @t14 () (and @t13 @t12 @t11 @t3)) % 0.38/0.56 (define @t15 () (@list @t1)) % 0.38/0.56 (define @t16 () (exists @t15 @t14)) % 0.38/0.56 (define @t17 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t18 () (and (tptp.is_the @t17 @t5) (tptp.exemplifies_property @t2 @t17))) % 0.38/0.56 (define @t19 () (= @t18 @t16)) % 0.38/0.56 (define @t20 () (tptp.object @t17)) % 0.38/0.56 (define @t21 () (tptp.property @t2)) % 0.38/0.56 (define @t22 () (tptp.property @t5)) % 0.38/0.56 (define @t23 () (and @t22 @t21 @t20)) % 0.38/0.56 (define @t24 () (=> @t23 @t19)) % 0.38/0.56 (define @t25 () (@list @t5 @t2 @t17)) % 0.38/0.56 (define @t26 () (forall @t25 @t24)) % 0.38/0.56 (define @t27 () (@var "U" $$unsorted)) % 0.38/0.56 (define @t28 () (tptp.is_the @t27 @t5)) % 0.38/0.56 (define @t29 () (tptp.object @t27)) % 0.38/0.56 (define @t30 () (and @t29 @t28)) % 0.38/0.56 (define @t31 () (@list @t27)) % 0.38/0.56 (define @t32 () (exists @t31 @t30)) % 0.38/0.56 (define @t33 () (and @t13 @t12 @t11)) % 0.38/0.56 (define @t34 () (exists @t15 @t33)) % 0.38/0.56 (define @t35 () (=> @t34 @t32)) % 0.38/0.56 (define @t36 () (=> @t22 @t35)) % 0.38/0.56 (define @t37 () (@list @t5)) % 0.38/0.56 (define @t38 () (forall @t37 @t36)) % 0.38/0.56 (define @t39 () (not @t38)) % 0.38/0.56 (define @t40 () (not @t3)) % 0.38/0.56 (define @t41 () (= @t1 @t4)) % 0.38/0.56 (define @t42 () (not @t6)) % 0.38/0.56 (define @t43 () (not @t8)) % 0.38/0.56 (define @t44 () (or @t43 @t42 @t41)) % 0.38/0.56 (define @t45 () (forall @t10 @t44)) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (not @t12)) % 0.38/0.56 (define @t48 () (not @t13)) % 0.38/0.56 (define @t49 () (or @t48 @t47 @t46 @t40)) % 0.38/0.56 (define @t50 () (= @t18 (not (forall @t15 @t49)))) % 0.38/0.56 (define @t51 () (not @t20)) % 0.38/0.56 (define @t52 () (not @t21)) % 0.38/0.56 (define @t53 () (not @t22)) % 0.38/0.56 (define @t54 () (or @t53 @t52 @t51 @t50)) % 0.38/0.56 (define @t55 () (or @t53 @t52 @t51)) % 0.38/0.56 (define @t56 () (and @t13 @t12 @t45 @t3)) % 0.38/0.56 (define @t57 () (forall @t15 (not @t56))) % 0.38/0.56 (define @t58 () (not @t57)) % 0.38/0.56 (define @t59 () (=> @t6 @t41)) % 0.38/0.56 (define @t60 () (@var "BOUND_VARIABLE_7509" $$unsorted)) % 0.38/0.56 (define @t61 () (not (tptp.exemplifies_property @t5 @t60))) % 0.38/0.56 (define @t62 () (not (tptp.object @t60))) % 0.38/0.56 (define @t63 () (not @t29)) % 0.38/0.56 (define @t64 () (not (forall @t31 (or @t63 (not @t28))))) % 0.38/0.56 (define @t65 () (@list @t5 @t60)) % 0.38/0.56 (define @t66 () (forall @t65 (or @t53 @t64 @t62 @t61 (not (forall @t10 (or @t43 @t42 (= @t4 @t60))))))) % 0.38/0.56 (define @t67 () (@quantifiers_skolemize @t66 0)) % 0.38/0.56 (define @t68 () (not (tptp.exemplifies_property @t67 @t4))) % 0.38/0.56 (define @t69 () (not (forall @t10 (or @t43 @t68 @t41)))) % 0.38/0.56 (define @t70 () (not (tptp.exemplifies_property @t67 @t1))) % 0.38/0.56 (define @t71 () (or @t48 @t70 @t69)) % 0.38/0.56 (define @t72 () (or @t48 @t70 @t69 @t70)) % 0.38/0.56 (define @t73 () (forall @t15 @t72)) % 0.38/0.56 (define @t74 () (not @t73)) % 0.38/0.56 (define @t75 () (@quantifiers_skolemize @t66 1)) % 0.38/0.56 (define @t76 () (tptp.exemplifies_property @t67 @t75)) % 0.38/0.56 (define @t77 () (tptp.is_the @t75 @t67)) % 0.38/0.56 (define @t78 () (and @t77 @t76)) % 0.38/0.56 (define @t79 () (= @t78 @t74)) % 0.38/0.56 (define @t80 () (tptp.object @t75)) % 0.38/0.56 (define @t81 () (not @t80)) % 0.38/0.56 (define @t82 () (tptp.property @t67)) % 0.38/0.56 (define @t83 () (not @t82)) % 0.38/0.56 (define @t84 () (or @t83 @t83 @t81 @t79)) % 0.38/0.56 (define @t85 () (forall @t25 @t54)) % 0.38/0.56 (define @t86 () (forall @t15 @t71)) % 0.38/0.56 (define @t87 () (not @t86)) % 0.38/0.56 (define @t88 () (= @t78 @t87)) % 0.38/0.56 (define @t89 () (or @t83 @t83 @t81 @t88)) % 0.38/0.56 (define @t90 () (or @t43 @t42 (= @t60 @t4))) % 0.38/0.56 (define @t91 () (forall @t10 @t90)) % 0.38/0.56 (define @t92 () (not @t91)) % 0.38/0.56 (define @t93 () (or @t53 @t64 @t62 @t61 @t92)) % 0.38/0.56 (define @t94 () (or @t62 @t61 @t92)) % 0.38/0.56 (define @t95 () (or @t53 @t94 @t64)) % 0.38/0.56 (define @t96 () (forall @t65 @t95)) % 0.38/0.56 (define @t97 () (@list @t60)) % 0.38/0.56 (define @t98 () (forall @t97 @t95)) % 0.38/0.56 (define @t99 () (forall @t97 @t94)) % 0.38/0.56 (define @t100 () (or @t53 @t99 @t64)) % 0.38/0.56 (define @t101 () (or @t48 @t47 @t46)) % 0.38/0.56 (define @t102 () (forall @t15 @t101)) % 0.38/0.56 (define @t103 () (or @t53 @t102 @t64)) % 0.38/0.56 (define @t104 () (not @t102)) % 0.38/0.56 (define @t105 () (=> @t104 @t64)) % 0.38/0.56 (define @t106 () (forall @t31 (not @t30))) % 0.38/0.56 (define @t107 () (not @t106)) % 0.38/0.56 (define @t108 () (and @t13 @t12 @t45)) % 0.38/0.56 (define @t109 () (forall @t15 (not @t108))) % 0.38/0.56 (define @t110 () (not @t109)) % 0.38/0.56 (define @t111 () (forall @t10 (or @t43 @t68 (= @t4 @t75)))) % 0.38/0.56 (define @t112 () (not @t111)) % 0.38/0.56 (define @t113 () (not @t76)) % 0.38/0.56 (define @t114 () (forall @t31 (or @t63 (not (tptp.is_the @t27 @t67))))) % 0.38/0.56 (define @t115 () (not @t114)) % 0.38/0.56 (define @t116 () (or @t83 @t115 @t81 @t113 @t112)) % 0.38/0.56 (define @t117 () (@list true)) % 0.38/0.56 (define @t118 () (@list @t116)) % 0.38/0.56 (define @t119 () (@list false false false)) % 0.38/0.56 (define @t120 () (@list @t75)) % 0.38/0.56 (define @t121 () (not @t77)) % 0.38/0.56 (define @t122 () (or @t81 @t121)) % 0.38/0.56 (define @t123 () (not @t78)) % 0.38/0.56 (define @t124 () (not @t88)) % 0.38/0.56 (define @t125 () (@list true false)) % 0.38/0.56 (define @t126 () (or @t81 @t113 @t112)) % 0.38/0.56 (define @t127 () (not @t126)) % 0.38/0.56 (define @t128 () (or @t43 @t68 (= @t75 @t4))) % 0.38/0.56 (define @t129 () (forall @t10 @t128)) % 0.38/0.56 (define @t130 () (not @t129)) % 0.38/0.56 (define @t131 () (or @t81 @t113 @t130)) % 0.38/0.56 (assume @p1 @t26) % 0.38/0.56 (assume @p2 @t39) % 0.38/0.56 (assume @p3 true) % 0.38/0.56 (step @p4 :rule aci_norm :args ((= (or @t55 @t50) @t54))) % 0.38/0.56 (step @p5 :rule refl :args (@t50)) % 0.38/0.56 (step @p6 :rule aci_norm :args ((= (or @t53 (or @t52 @t51)) @t55))) % 0.38/0.56 (step @p7 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.38/0.56 (step @p8 :rule refl :args (@t53)) % 0.38/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or @t53 (not (and @t21 @t20))))) % 0.38/0.56 (step @p10 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 0.38/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p6)) % 0.38/0.56 (step @p13 :rule nary_cong :premises (@p12 @p5) :args ((or (not @t23) @t50))) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p4)) % 0.38/0.56 (step @p15 :rule bool-impl-elim :args (@t23 @t50)) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16) :args ((forall @t25 (=> @t23 @t50)))) % 0.38/0.56 (step @p18 :rule aci_norm :args ((= (or @t48 (or @t47 (or @t46 @t40))) @t49))) % 0.38/0.56 (step @p19 :rule bool-and-de-morgan :args (@t45 @t3 true)) % 0.38/0.56 (step @p20 :rule refl :args (@t47)) % 0.38/0.56 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t47 (not (and @t45 @t3))))) % 0.38/0.56 (step @p22 :rule bool-and-de-morgan :args (@t12 @t45 (and @t3))) % 0.38/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.56 (step @p24 :rule refl :args (@t48)) % 0.38/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t48 (not (and @t12 @t45 @t3))))) % 0.38/0.56 (step @p26 :rule bool-and-de-morgan :args (@t13 @t12 (and @t45 @t3))) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.56 (step @p28 :rule trans :premises (@p27 @p18)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28) :args (@t57)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29) :args (@t58)) % 0.38/0.56 (step @p31 :rule exists-elim :args ((= (exists @t15 @t56) @t58))) % 0.38/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.56 (step @p33 :rule refl :args (@t3)) % 0.38/0.56 (step @p34 :rule aci_norm :args ((= (or @t43 (or @t42 @t41)) @t44))) % 0.38/0.56 (step @p35 :rule bool-impl-elim :args (@t6 @t41)) % 0.38/0.56 (step @p36 :rule refl :args (@t43)) % 0.38/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t43 @t59))) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p34)) % 0.38/0.56 (step @p39 :rule bool-impl-elim :args (@t8 @t59)) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args ((forall @t10 (=> @t8 @t59)))) % 0.38/0.56 (step @p42 :rule eq-symm :args (@t4 @t1)) % 0.38/0.56 (step @p43 :rule refl :args (@t6)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args (@t7)) % 0.38/0.56 (step @p45 :rule refl :args (@t8)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45 @p44) :args (@t9)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46) :args (@t11)) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p41)) % 0.38/0.56 (step @p49 :rule refl :args (@t12)) % 0.38/0.56 (step @p50 :rule refl :args (@t13)) % 0.38/0.56 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p33) :args (@t14)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args (@t16)) % 0.38/0.56 (step @p53 :rule trans :premises (@p52 @p32)) % 0.38/0.56 (step @p54 :rule refl :args (@t18)) % 0.38/0.56 (step @p55 :rule cong :premises (@p54 @p53) :args (@t19)) % 0.38/0.56 (step @p56 :rule refl :args (@t23)) % 0.38/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args (@t24)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57) :args (@t26)) % 0.38/0.56 (step @p59 :rule trans :premises (@p58 @p17)) % 0.38/0.56 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.38/0.56 (step @p61 :rule aci_norm :args ((= @t72 @t71))) % 0.38/0.56 (step @p62 :rule cong :premises (@p61) :args (@t73)) % 0.38/0.56 (step @p63 :rule cong :premises (@p62) :args (@t74)) % 0.38/0.56 (step @p64 :rule refl :args (@t78)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args (@t79)) % 0.38/0.56 (step @p66 :rule refl :args (@t81)) % 0.38/0.56 (step @p67 :rule refl :args (@t83)) % 0.38/0.56 (step @p68 :rule nary_cong :premises (@p67 @p67 @p66 @p65) :args (@t84)) % 0.38/0.56 (step @p69 :rule refl :args (@t85)) % 0.38/0.56 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t85 @t84))) % 0.38/0.56 (assume-push @p207 @t85) % 0.38/0.56 (step @p72 :rule instantiate :premises (@p60) :args ((@list @t67 @t67 @t75))) % 0.38/0.56 (step-pop @p208 :rule scope :premises (@p72)) % 0.38/0.56 (step @p73 :rule process_scope :premises (@p208) :args (@t84)) % 0.38/0.56 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.38/0.56 (step @p76 :rule implies_elim :premises (@p75)) % 0.38/0.56 (step @p77 :rule chain_m_resolution :premises (@p76 @p60) :args (@t89 (@list false) (@list @t85))) % 0.38/0.56 (step @p78 :rule eq-symm :args (@t60 @t4)) % 0.38/0.56 (step @p79 :rule refl :args (@t42)) % 0.38/0.56 (step @p80 :rule refl :args (@t43)) % 0.38/0.56 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t90)) % 0.38/0.56 (step @p82 :rule cong :premises (@p81) :args (@t91)) % 0.38/0.56 (step @p83 :rule cong :premises (@p82) :args (@t92)) % 0.38/0.56 (step @p84 :rule refl :args (@t61)) % 0.38/0.56 (step @p85 :rule refl :args (@t62)) % 0.38/0.56 (step @p86 :rule refl :args (@t64)) % 0.38/0.56 (step @p87 :rule refl :args (@t53)) % 0.38/0.56 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84 @p83) :args (@t93)) % 0.38/0.56 (step @p89 :rule aci_norm :args ((= @t95 @t93))) % 0.38/0.56 (step @p90 :rule trans :premises (@p89 @p88)) % 0.38/0.56 (step @p91 :rule cong :premises (@p90) :args (@t96)) % 0.38/0.56 (step @p92 :rule quant-merge-prenex :args ((= (forall @t37 @t98) @t96))) % 0.38/0.56 (step @p93 :rule refl :args (@t64)) % 0.38/0.56 (step @p94 :rule alpha_equiv :args (@t99 (@list @t60) (@list @t1))) % 0.38/0.56 (step @p95 :rule nary_cong :premises (@p8 @p94 @p93) :args (@t100)) % 0.38/0.56 (step @p96 :rule quant-miniscope-or :args ((= @t98 @t100))) % 0.38/0.56 (step @p97 :rule trans :premises (@p96 @p95)) % 0.38/0.56 (step @p98 :rule symm :premises (@p97)) % 0.38/0.56 (step @p99 :rule cong :premises (@p98) :args ((forall @t37 @t103))) % 0.38/0.56 (step @p100 :rule trans :premises (@p99 @p92)) % 0.38/0.56 (step @p101 :rule trans :premises (@p100 @p91)) % 0.38/0.56 (step @p102 :rule aci_norm :args ((= (or @t53 (or @t102 @t64)) @t103))) % 0.38/0.56 (step @p103 :rule bool-double-not-elim :args (@t102)) % 0.38/0.56 (step @p104 :rule nary_cong :premises (@p103 @p93) :args ((or (not @t104) @t64))) % 0.38/0.56 (step @p105 :rule bool-impl-elim :args (@t104 @t64)) % 0.38/0.56 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.56 (step @p107 :rule nary_cong :premises (@p8 @p106) :args ((or @t53 @t105))) % 0.38/0.56 (step @p108 :rule trans :premises (@p107 @p102)) % 0.38/0.56 (step @p109 :rule bool-impl-elim :args (@t22 @t105)) % 0.38/0.56 (step @p110 :rule trans :premises (@p109 @p108)) % 0.38/0.56 (step @p111 :rule cong :premises (@p110) :args ((forall @t37 (=> @t22 @t105)))) % 0.38/0.56 (step @p112 :rule trans :premises (@p111 @p101)) % 0.38/0.56 (step @p113 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.38/0.56 (step @p114 :rule cong :premises (@p113) :args (@t106)) % 0.38/0.56 (step @p115 :rule cong :premises (@p114) :args (@t107)) % 0.38/0.56 (step @p116 :rule exists-elim :args ((= @t32 @t107))) % 0.38/0.56 (step @p117 :rule trans :premises (@p116 @p115)) % 0.38/0.56 (step @p118 :rule aci_norm :args ((= (or @t48 (or @t47 @t46)) @t101))) % 0.38/0.56 (step @p119 :rule bool-and-de-morgan :args (@t12 @t45 true)) % 0.38/0.56 (step @p120 :rule nary_cong :premises (@p24 @p119) :args ((or @t48 (not (and @t12 @t45))))) % 0.38/0.56 (step @p121 :rule bool-and-de-morgan :args (@t13 @t12 (and @t45))) % 0.38/0.56 (step @p122 :rule trans :premises (@p121 @p120)) % 0.38/0.56 (step @p123 :rule trans :premises (@p122 @p118)) % 0.38/0.56 (step @p124 :rule cong :premises (@p123) :args (@t109)) % 0.38/0.56 (step @p125 :rule cong :premises (@p124) :args (@t110)) % 0.38/0.56 (step @p126 :rule exists-elim :args ((= (exists @t15 @t108) @t110))) % 0.38/0.56 (step @p127 :rule trans :premises (@p126 @p125)) % 0.38/0.56 (step @p128 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t33)) % 0.38/0.56 (step @p129 :rule cong :premises (@p128) :args (@t34)) % 0.38/0.56 (step @p130 :rule trans :premises (@p129 @p127)) % 0.38/0.56 (step @p131 :rule cong :premises (@p130 @p117) :args (@t35)) % 0.38/0.56 (step @p132 :rule refl :args (@t22)) % 0.38/0.56 (step @p133 :rule cong :premises (@p132 @p131) :args (@t36)) % 0.38/0.56 (step @p134 :rule cong :premises (@p133) :args (@t38)) % 0.38/0.56 (step @p135 :rule trans :premises (@p134 @p112)) % 0.38/0.56 (step @p136 :rule cong :premises (@p135) :args (@t39)) % 0.38/0.56 (step @p137 :rule eq_resolve :premises (@p2 @p136)) % 0.38/0.56 (step @p138 :rule skolemize :premises (@p137)) % 0.38/0.56 (step @p139 :rule bool-double-not-elim :args (@t80)) % 0.38/0.56 (step @p140 :rule refl :args (@t116)) % 0.38/0.56 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t116 (not @t81)))) % 0.38/0.56 (step @p142 :rule cnf_or_neg :args (@t116 2)) % 0.38/0.56 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.38/0.56 (step @p144 :rule reordering :premises (@p143) :args ((or @t80 @t116))) % 0.38/0.56 (step @p145 :rule chain_m_resolution :premises (@p144 @p138) :args (@t80 @t117 @t118)) % 0.38/0.56 (step @p146 :rule bool-double-not-elim :args (@t82)) % 0.38/0.56 (step @p147 :rule nary_cong :premises (@p140 @p146) :args ((or @t116 (not @t83)))) % 0.38/0.56 (step @p148 :rule cnf_or_neg :args (@t116 0)) % 0.38/0.56 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.38/0.56 (step @p150 :rule reordering :premises (@p149) :args ((or @t82 @t116))) % 0.38/0.56 (step @p151 :rule chain_m_resolution :premises (@p150 @p138) :args (@t82 @t117 @t118)) % 0.38/0.56 (step @p152 :rule cnf_or_pos :args (@t89)) % 0.38/0.56 (step @p153 :rule factoring :premises (@p152)) % 0.38/0.56 (step @p154 :rule reordering :premises (@p153) :args ((or @t83 @t81 @t88 (not @t89)))) % 0.38/0.56 (step @p155 :rule chain_m_resolution :premises (@p154 @p151 @p145 @p77) :args (@t88 @t119 (@list @t82 @t80 @t89))) % 0.38/0.56 (step @p156 :rule bool-double-not-elim :args (@t114)) % 0.38/0.56 (step @p157 :rule nary_cong :premises (@p140 @p156) :args ((or @t116 (not @t115)))) % 0.38/0.56 (step @p158 :rule cnf_or_neg :args (@t116 1)) % 0.38/0.56 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.38/0.56 (step @p160 :rule reordering :premises (@p159) :args ((or @t114 @t116))) % 0.38/0.56 (step @p161 :rule chain_m_resolution :premises (@p160 @p138) :args (@t114 @t117 @t118)) % 0.38/0.56 (step @p162 :rule instantiate :premises (@p161) :args (@t120)) % 0.38/0.56 (step @p163 :rule cnf_or_pos :args (@t122)) % 0.38/0.56 (step @p164 :rule reordering :premises (@p163) :args ((or @t81 @t121 (not @t122)))) % 0.38/0.56 (step @p165 :rule chain_m_resolution :premises (@p164 @p145 @p162) :args (@t121 (@list false false) (@list @t80 @t122))) % 0.38/0.56 (step @p166 :rule cnf_and_pos :args (@t78 0)) % 0.38/0.56 (step @p167 :rule reordering :premises (@p166) :args ((or @t77 @t123))) % 0.38/0.56 (step @p168 :rule chain_m_resolution :premises (@p167 @p165) :args (@t123 @t117 (@list @t77))) % 0.38/0.56 (step @p169 :rule bool-double-not-elim :args (@t86)) % 0.38/0.56 (step @p170 :rule refl :args (@t124)) % 0.38/0.56 (step @p171 :rule nary_cong :premises (@p170 @p64 @p169) :args ((or @t124 @t78 (not @t87)))) % 0.38/0.56 (step @p172 :rule cnf_equiv_pos2 :args (@t88)) % 0.38/0.56 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.38/0.56 (step @p174 :rule reordering :premises (@p173) :args ((or @t78 @t86 @t124))) % 0.38/0.56 (step @p175 :rule chain_m_resolution :premises (@p174 @p168 @p155) :args (@t86 @t125 (@list @t78 @t88))) % 0.38/0.56 (step @p176 :rule bool-double-not-elim :args (@t111)) % 0.38/0.56 (step @p177 :rule nary_cong :premises (@p140 @p176) :args ((or @t116 (not @t112)))) % 0.38/0.56 (step @p178 :rule cnf_or_neg :args (@t116 4)) % 0.38/0.56 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.38/0.56 (step @p180 :rule reordering :premises (@p179) :args ((or @t111 @t116))) % 0.38/0.56 (step @p181 :rule chain_m_resolution :premises (@p180 @p138) :args (@t111 @t117 @t118)) % 0.38/0.56 (step @p182 :rule bool-double-not-elim :args (@t76)) % 0.38/0.56 (step @p183 :rule nary_cong :premises (@p140 @p182) :args ((or @t116 (not @t113)))) % 0.38/0.56 (step @p184 :rule cnf_or_neg :args (@t116 3)) % 0.38/0.56 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.38/0.56 (step @p186 :rule reordering :premises (@p185) :args ((or @t76 @t116))) % 0.38/0.56 (step @p187 :rule chain_m_resolution :premises (@p186 @p138) :args (@t76 @t117 @t118)) % 0.38/0.56 (step @p188 :rule cnf_or_pos :args (@t126)) % 0.38/0.56 (step @p189 :rule reordering :premises (@p188) :args ((or @t81 @t113 @t112 @t127))) % 0.38/0.56 (step @p190 :rule chain_m_resolution :premises (@p189 @p145 @p187 @p181) :args (@t127 @t119 (@list @t80 @t76 @t111))) % 0.38/0.56 (step @p191 :rule eq-symm :args (@t75 @t4)) % 0.38/0.56 (step @p192 :rule refl :args (@t68)) % 0.38/0.56 (step @p193 :rule nary_cong :premises (@p80 @p192 @p191) :args (@t128)) % 0.38/0.56 (step @p194 :rule cong :premises (@p193) :args (@t129)) % 0.38/0.56 (step @p195 :rule cong :premises (@p194) :args (@t130)) % 0.38/0.56 (step @p196 :rule refl :args (@t113)) % 0.38/0.56 (step @p197 :rule nary_cong :premises (@p66 @p196 @p195) :args (@t131)) % 0.38/0.56 (step @p198 :rule refl :args (@t86)) % 0.38/0.56 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t86 @t131))) % 0.38/0.56 (assume-push @p209 @t86) % 0.38/0.56 (step @p201 :rule instantiate :premises (@p175) :args (@t120)) % 0.38/0.56 (step-pop @p210 :rule scope :premises (@p201)) % 0.38/0.56 (step @p202 :rule process_scope :premises (@p210) :args (@t131)) % 0.38/0.56 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 0.38/0.56 (step @p205 :rule implies_elim :premises (@p204)) % 0.38/0.56 (step @p206 false :rule chain_m_resolution :premises (@p205 @p190 @p175) :args (false @t125 (@list @t126 @t86))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------