%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI010+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 : n007.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 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI010+1 : TPTP v9.2.1. Released v7.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:52:11 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.exemplifies_property (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.is_the (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.object (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.property (-> $$unsorted Bool)) % 0.36/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t2 () (tptp.object @t1)) % 0.36/0.58 (define @t3 () (@list @t1)) % 0.36/0.58 (define @t4 () (@var "F" $$unsorted)) % 0.36/0.58 (define @t5 () (tptp.property @t4)) % 0.36/0.58 (define @t6 () (and @t5 @t2)) % 0.36/0.58 (define @t7 () (@list @t1 @t4)) % 0.36/0.58 (define @t8 () (tptp.is_the @t1 @t4)) % 0.36/0.58 (define @t9 () (@var "W" $$unsorted)) % 0.36/0.58 (define @t10 () (@var "Y" $$unsorted)) % 0.36/0.58 (define @t11 () (= @t10 @t9)) % 0.36/0.58 (define @t12 () (@var "Z" $$unsorted)) % 0.36/0.58 (define @t13 () (tptp.exemplifies_property @t4 @t12)) % 0.36/0.58 (define @t14 () (=> @t13 (= @t12 @t10))) % 0.36/0.58 (define @t15 () (tptp.object @t12)) % 0.36/0.58 (define @t16 () (=> @t15 @t14)) % 0.36/0.58 (define @t17 () (@list @t12)) % 0.36/0.58 (define @t18 () (forall @t17 @t16)) % 0.36/0.58 (define @t19 () (tptp.exemplifies_property @t4 @t10)) % 0.36/0.58 (define @t20 () (tptp.object @t10)) % 0.36/0.58 (define @t21 () (and @t20 @t19 @t18 @t11)) % 0.36/0.58 (define @t22 () (@list @t10)) % 0.36/0.58 (define @t23 () (exists @t22 @t21)) % 0.36/0.58 (define @t24 () (and @t8 (= @t1 @t9))) % 0.36/0.58 (define @t25 () (= @t24 @t23)) % 0.36/0.58 (define @t26 () (tptp.object @t9)) % 0.36/0.58 (define @t27 () (and @t5 @t2 @t26)) % 0.36/0.58 (define @t28 () (=> @t27 @t25)) % 0.36/0.58 (define @t29 () (@list @t4 @t1 @t9)) % 0.36/0.58 (define @t30 () (forall @t29 @t28)) % 0.36/0.58 (define @t31 () (= @t1 @t10)) % 0.36/0.58 (define @t32 () (and @t8 @t31)) % 0.36/0.58 (define @t33 () (=> @t32 @t19)) % 0.36/0.58 (define @t34 () (and @t2 @t5 @t20)) % 0.36/0.58 (define @t35 () (@list @t1 @t4 @t10)) % 0.36/0.58 (define @t36 () (forall @t35 (=> @t34 @t33))) % 0.36/0.58 (define @t37 () (not @t36)) % 0.36/0.58 (define @t38 () (not (tptp.is_the @t10 @t4))) % 0.36/0.58 (define @t39 () (not @t5)) % 0.36/0.58 (define @t40 () (not @t20)) % 0.36/0.58 (define @t41 () (or @t40 @t39 @t38 @t19)) % 0.36/0.58 (define @t42 () (not (= @t10 @t10))) % 0.36/0.58 (define @t43 () (or @t40 @t39 @t40 @t38 @t42 @t19)) % 0.36/0.58 (define @t44 () (@list @t4 @t10)) % 0.36/0.58 (define @t45 () (not @t31)) % 0.36/0.58 (define @t46 () (not @t8)) % 0.36/0.58 (define @t47 () (not @t2)) % 0.36/0.58 (define @t48 () (or @t45 @t47 @t39 @t40 @t46 @t45 @t19)) % 0.36/0.58 (define @t49 () (or @t47 @t39 @t40 @t46 @t45 @t19)) % 0.36/0.58 (define @t50 () (forall @t3 @t49)) % 0.36/0.58 (define @t51 () (forall @t44 @t50)) % 0.36/0.58 (define @t52 () (forall (@list @t4 @t10 @t1) @t49)) % 0.36/0.58 (define @t53 () (or @t46 @t45 @t19)) % 0.36/0.58 (define @t54 () (or @t47 @t39 @t40)) % 0.36/0.58 (define @t55 () (forall @t44 @t41)) % 0.36/0.58 (define @t56 () (@quantifiers_skolemize @t55 1)) % 0.36/0.58 (define @t57 () (tptp.object @t56)) % 0.36/0.58 (define @t58 () (@quantifiers_skolemize @t55 0)) % 0.36/0.58 (define @t59 () (tptp.exemplifies_property @t58 @t56)) % 0.36/0.58 (define @t60 () (tptp.is_the @t56 @t58)) % 0.36/0.58 (define @t61 () (not @t60)) % 0.36/0.58 (define @t62 () (tptp.property @t58)) % 0.36/0.58 (define @t63 () (not @t62)) % 0.36/0.58 (define @t64 () (not @t57)) % 0.36/0.58 (define @t65 () (or @t64 @t63 @t61 @t59)) % 0.36/0.58 (define @t66 () (@list true)) % 0.36/0.58 (define @t67 () (@list @t65)) % 0.36/0.58 (define @t68 () (not @t13)) % 0.36/0.58 (define @t69 () (not @t15)) % 0.36/0.58 (define @t70 () (forall @t17 (or @t69 @t68 (= @t9 @t12)))) % 0.36/0.58 (define @t71 () (tptp.exemplifies_property @t4 @t9)) % 0.36/0.58 (define @t72 () (= @t24 (and @t26 @t71 @t70))) % 0.36/0.58 (define @t73 () (not @t26)) % 0.36/0.58 (define @t74 () (or @t39 @t47 @t73 @t72)) % 0.36/0.58 (define @t75 () (or @t39 @t47 @t73)) % 0.36/0.58 (define @t76 () (not @t70)) % 0.36/0.58 (define @t77 () (not @t76)) % 0.36/0.58 (define @t78 () (not @t71)) % 0.36/0.58 (define @t79 () (not @t78)) % 0.36/0.58 (define @t80 () (not @t73)) % 0.36/0.58 (define @t81 () (and @t80 @t79 @t77)) % 0.36/0.58 (define @t82 () (or @t73 @t78 @t76)) % 0.36/0.58 (define @t83 () (= @t24 (not @t82))) % 0.36/0.58 (define @t84 () (not (= @t9 @t9))) % 0.36/0.58 (define @t85 () (or @t73 @t78 @t76 @t84)) % 0.36/0.58 (define @t86 () (= @t9 @t10)) % 0.36/0.58 (define @t87 () (not @t86)) % 0.36/0.58 (define @t88 () (= @t10 @t12)) % 0.36/0.58 (define @t89 () (or @t69 @t68 @t88)) % 0.36/0.58 (define @t90 () (forall @t17 @t89)) % 0.36/0.58 (define @t91 () (not @t90)) % 0.36/0.58 (define @t92 () (not @t19)) % 0.36/0.58 (define @t93 () (or @t87 @t40 @t92 @t91 @t87)) % 0.36/0.58 (define @t94 () (or @t40 @t92 @t91 @t87)) % 0.36/0.58 (define @t95 () (and @t20 @t19 @t90 @t86)) % 0.36/0.58 (define @t96 () (forall @t22 (not @t95))) % 0.36/0.58 (define @t97 () (not @t96)) % 0.36/0.58 (define @t98 () (=> @t13 @t88)) % 0.36/0.58 (define @t99 () (not (tptp.exemplifies_property @t58 @t12))) % 0.36/0.58 (define @t100 () (or @t69 @t99 (= @t56 @t12))) % 0.36/0.58 (define @t101 () (forall @t17 @t100)) % 0.36/0.58 (define @t102 () (and @t57 @t59 @t101)) % 0.36/0.58 (define @t103 () (and @t60 (= @t56 @t56))) % 0.36/0.58 (define @t104 () (= @t103 @t102)) % 0.36/0.58 (define @t105 () (or @t63 @t64 @t64 @t104)) % 0.36/0.58 (define @t106 () (forall @t29 @t74)) % 0.36/0.58 (define @t107 () (and @t57 @t59 (forall @t17 (or @t69 @t99 (= @t12 @t56))))) % 0.36/0.58 (define @t108 () (= @t60 @t107)) % 0.36/0.58 (define @t109 () (or @t63 @t64 @t64 @t108)) % 0.36/0.58 (define @t110 () (not @t107)) % 0.36/0.58 (define @t111 () (not @t108)) % 0.36/0.58 (assume @p1 (forall @t3 (=> @t2 (not (tptp.property @t1))))) % 0.36/0.58 (assume @p2 (forall @t7 (=> (tptp.exemplifies_property @t4 @t1) @t6))) % 0.36/0.58 (assume @p3 (forall @t7 (=> @t8 @t6))) % 0.36/0.58 (assume @p4 @t30) % 0.36/0.58 (assume @p5 @t37) % 0.36/0.58 (assume @p6 true) % 0.36/0.58 (step @p7 :rule aci_norm :args ((= (or @t40 @t39 @t40 @t38 false @t19) @t41))) % 0.36/0.58 (step @p8 :rule refl :args (@t19)) % 0.36/0.58 (step @p9 :rule evaluate :args ((not true))) % 0.36/0.58 (step @p10 :rule eq-refl :args (@t10)) % 0.36/0.58 (step @p11 :rule cong :premises (@p10) :args (@t42)) % 0.36/0.58 (step @p12 :rule trans :premises (@p11 @p9)) % 0.36/0.58 (step @p13 :rule refl :args (@t38)) % 0.36/0.58 (step @p14 :rule refl :args (@t40)) % 0.36/0.58 (step @p15 :rule refl :args (@t39)) % 0.36/0.58 (step @p16 :rule nary_cong :premises (@p14 @p15 @p14 @p13 @p12 @p8) :args (@t43)) % 0.36/0.58 (step @p17 :rule trans :premises (@p16 @p7)) % 0.36/0.58 (step @p18 :rule cong :premises (@p17) :args ((forall @t44 @t43))) % 0.36/0.58 (step @p19 :rule quant-var-elim-eq :args ((= (forall @t3 @t48) @t43))) % 0.36/0.58 (step @p20 :rule aci_norm :args ((= @t49 @t48))) % 0.36/0.58 (step @p21 :rule cong :premises (@p20) :args (@t50)) % 0.36/0.58 (step @p22 :rule trans :premises (@p21 @p19)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22) :args (@t51)) % 0.36/0.58 (step @p24 :rule quant-merge-prenex :args ((= @t51 @t52))) % 0.36/0.58 (step @p25 :rule symm :premises (@p24)) % 0.36/0.58 (step @p26 :rule quant_var_reordering :args ((= (forall @t35 @t49) @t52))) % 0.36/0.58 (step @p27 :rule trans :premises (@p26 @p25 @p23)) % 0.36/0.58 (step @p28 :rule trans :premises (@p27 @p18)) % 0.36/0.58 (step @p29 :rule aci_norm :args ((= (or @t54 @t53) @t49))) % 0.36/0.58 (step @p30 :rule aci_norm :args ((= (or (or @t46 @t45) @t19) @t53))) % 0.36/0.58 (step @p31 :rule refl :args (@t19)) % 0.36/0.58 (step @p32 :rule bool-and-de-morgan :args (@t8 @t31 true)) % 0.36/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t32) @t19))) % 0.36/0.58 (step @p34 :rule trans :premises (@p33 @p30)) % 0.36/0.58 (step @p35 :rule bool-impl-elim :args (@t32 @t19)) % 0.36/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.36/0.58 (step @p37 :rule aci_norm :args ((= (or @t47 (or @t39 @t40)) @t54))) % 0.36/0.58 (step @p38 :rule bool-and-de-morgan :args (@t5 @t20 true)) % 0.36/0.58 (step @p39 :rule refl :args (@t47)) % 0.36/0.58 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t47 (not (and @t5 @t20))))) % 0.36/0.58 (step @p41 :rule bool-and-de-morgan :args (@t2 @t5 (and @t20))) % 0.36/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.58 (step @p43 :rule trans :premises (@p42 @p37)) % 0.36/0.58 (step @p44 :rule nary_cong :premises (@p43 @p36) :args ((or (not @t34) @t33))) % 0.36/0.58 (step @p45 :rule trans :premises (@p44 @p29)) % 0.36/0.58 (step @p46 :rule bool-impl-elim :args (@t34 @t33)) % 0.36/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.36/0.58 (step @p48 :rule cong :premises (@p47) :args (@t36)) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p28)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49) :args (@t37)) % 0.36/0.58 (step @p51 :rule eq_resolve :premises (@p5 @p50)) % 0.36/0.58 (step @p52 :rule skolemize :premises (@p51)) % 0.36/0.58 (step @p53 :rule bool-double-not-elim :args (@t57)) % 0.36/0.58 (step @p54 :rule refl :args (@t65)) % 0.36/0.58 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t65 (not @t64)))) % 0.36/0.58 (step @p56 :rule cnf_or_neg :args (@t65 0)) % 0.36/0.58 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.36/0.58 (step @p58 :rule reordering :premises (@p57) :args ((or @t57 @t65))) % 0.36/0.58 (step @p59 :rule chain_m_resolution :premises (@p58 @p52) :args (@t57 @t66 @t67)) % 0.36/0.58 (step @p60 :rule bool-double-not-elim :args (@t62)) % 0.36/0.58 (step @p61 :rule nary_cong :premises (@p54 @p60) :args ((or @t65 (not @t63)))) % 0.36/0.58 (step @p62 :rule cnf_or_neg :args (@t65 1)) % 0.36/0.58 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.36/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t62 @t65))) % 0.36/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p52) :args (@t62 @t66 @t67)) % 0.36/0.58 (step @p66 :rule aci_norm :args ((= (or @t75 @t72) @t74))) % 0.36/0.58 (step @p67 :rule bool-double-not-elim :args (@t70)) % 0.36/0.58 (step @p68 :rule bool-double-not-elim :args (@t71)) % 0.36/0.58 (step @p69 :rule bool-double-not-elim :args (@t26)) % 0.36/0.58 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args (@t81)) % 0.36/0.58 (step @p71 :rule aci_norm :args ((= (and @t80 (and @t79 @t77)) @t81))) % 0.36/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.36/0.58 (step @p73 :rule bool-or-de-morgan :args (@t78 @t76 false)) % 0.36/0.58 (step @p74 :rule refl :args (@t80)) % 0.36/0.58 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((and @t80 (not (or @t78 @t76))))) % 0.36/0.58 (step @p76 :rule bool-or-de-morgan :args (@t73 @t78 (or @t76))) % 0.36/0.58 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.58 (step @p78 :rule trans :premises (@p77 @p72)) % 0.36/0.58 (step @p79 :rule refl :args (@t24)) % 0.36/0.58 (step @p80 :rule cong :premises (@p79 @p78) :args (@t83)) % 0.36/0.58 (step @p81 :rule aci_norm :args ((= (or @t39 (or @t47 @t73)) @t75))) % 0.36/0.58 (step @p82 :rule bool-and-de-morgan :args (@t2 @t26 true)) % 0.36/0.58 (step @p83 :rule refl :args (@t39)) % 0.36/0.58 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t39 (not (and @t2 @t26))))) % 0.36/0.58 (step @p85 :rule bool-and-de-morgan :args (@t5 @t2 (and @t26))) % 0.36/0.58 (step @p86 :rule trans :premises (@p85 @p84)) % 0.36/0.58 (step @p87 :rule trans :premises (@p86 @p81)) % 0.36/0.58 (step @p88 :rule nary_cong :premises (@p87 @p80) :args ((or (not @t27) @t83))) % 0.36/0.58 (step @p89 :rule trans :premises (@p88 @p66)) % 0.36/0.58 (step @p90 :rule bool-impl-elim :args (@t27 @t83)) % 0.36/0.58 (step @p91 :rule trans :premises (@p90 @p89)) % 0.36/0.58 (step @p92 :rule cong :premises (@p91) :args ((forall @t29 (=> @t27 @t83)))) % 0.36/0.58 (step @p93 :rule aci_norm :args ((= (or @t73 @t78 @t76 false) @t82))) % 0.36/0.58 (step @p94 :rule eq-refl :args (@t9)) % 0.36/0.58 (step @p95 :rule cong :premises (@p94) :args (@t84)) % 0.36/0.58 (step @p96 :rule trans :premises (@p95 @p9)) % 0.36/0.58 (step @p97 :rule refl :args (@t76)) % 0.36/0.58 (step @p98 :rule refl :args (@t78)) % 0.36/0.58 (step @p99 :rule refl :args (@t73)) % 0.36/0.58 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96) :args (@t85)) % 0.36/0.58 (step @p101 :rule trans :premises (@p100 @p93)) % 0.36/0.58 (step @p102 :rule quant-var-elim-eq :args ((= (forall @t22 (or (not @t11) @t40 @t92 @t91 @t87)) @t85))) % 0.36/0.58 (step @p103 :rule refl :args (@t87)) % 0.36/0.58 (step @p104 :rule refl :args (@t91)) % 0.36/0.58 (step @p105 :rule refl :args (@t92)) % 0.36/0.58 (step @p106 :rule refl :args (@t40)) % 0.36/0.58 (step @p107 :rule eq-symm :args (@t9 @t10)) % 0.36/0.58 (step @p108 :rule cong :premises (@p107) :args (@t87)) % 0.36/0.58 (step @p109 :rule nary_cong :premises (@p108 @p106 @p105 @p104 @p103) :args (@t93)) % 0.36/0.58 (step @p110 :rule aci_norm :args ((= @t94 @t93))) % 0.36/0.58 (step @p111 :rule trans :premises (@p110 @p109)) % 0.36/0.58 (step @p112 :rule cong :premises (@p111) :args ((forall @t22 @t94))) % 0.36/0.58 (step @p113 :rule trans :premises (@p112 @p102)) % 0.36/0.58 (step @p114 :rule trans :premises (@p113 @p101)) % 0.36/0.58 (step @p115 :rule aci_norm :args ((= (or @t40 (or @t92 (or @t91 @t87))) @t94))) % 0.36/0.58 (step @p116 :rule bool-and-de-morgan :args (@t90 @t86 true)) % 0.36/0.58 (step @p117 :rule nary_cong :premises (@p105 @p116) :args ((or @t92 (not (and @t90 @t86))))) % 0.36/0.58 (step @p118 :rule bool-and-de-morgan :args (@t19 @t90 (and @t86))) % 0.36/0.58 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.58 (step @p120 :rule nary_cong :premises (@p106 @p119) :args ((or @t40 (not (and @t19 @t90 @t86))))) % 0.36/0.58 (step @p121 :rule bool-and-de-morgan :args (@t20 @t19 (and @t90 @t86))) % 0.36/0.58 (step @p122 :rule trans :premises (@p121 @p120)) % 0.36/0.58 (step @p123 :rule trans :premises (@p122 @p115)) % 0.36/0.58 (step @p124 :rule cong :premises (@p123) :args (@t96)) % 0.36/0.58 (step @p125 :rule trans :premises (@p124 @p114)) % 0.36/0.58 (step @p126 :rule cong :premises (@p125) :args (@t97)) % 0.36/0.58 (step @p127 :rule exists-elim :args ((= (exists @t22 @t95) @t97))) % 0.36/0.58 (step @p128 :rule trans :premises (@p127 @p126)) % 0.36/0.58 (step @p129 :rule eq-symm :args (@t10 @t9)) % 0.36/0.58 (step @p130 :rule aci_norm :args ((= (or @t69 (or @t68 @t88)) @t89))) % 0.36/0.58 (step @p131 :rule bool-impl-elim :args (@t13 @t88)) % 0.36/0.58 (step @p132 :rule refl :args (@t69)) % 0.36/0.58 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t69 @t98))) % 0.36/0.58 (step @p134 :rule trans :premises (@p133 @p130)) % 0.36/0.58 (step @p135 :rule bool-impl-elim :args (@t15 @t98)) % 0.36/0.58 (step @p136 :rule trans :premises (@p135 @p134)) % 0.36/0.58 (step @p137 :rule cong :premises (@p136) :args ((forall @t17 (=> @t15 @t98)))) % 0.36/0.58 (step @p138 :rule eq-symm :args (@t12 @t10)) % 0.36/0.58 (step @p139 :rule refl :args (@t13)) % 0.36/0.58 (step @p140 :rule cong :premises (@p139 @p138) :args (@t14)) % 0.36/0.58 (step @p141 :rule refl :args (@t15)) % 0.36/0.58 (step @p142 :rule cong :premises (@p141 @p140) :args (@t16)) % 0.36/0.58 (step @p143 :rule cong :premises (@p142) :args (@t18)) % 0.36/0.58 (step @p144 :rule trans :premises (@p143 @p137)) % 0.36/0.58 (step @p145 :rule refl :args (@t20)) % 0.36/0.58 (step @p146 :rule nary_cong :premises (@p145 @p8 @p144 @p129) :args (@t21)) % 0.36/0.58 (step @p147 :rule cong :premises (@p146) :args (@t23)) % 0.36/0.58 (step @p148 :rule trans :premises (@p147 @p128)) % 0.36/0.58 (step @p149 :rule refl :args (@t24)) % 0.36/0.58 (step @p150 :rule cong :premises (@p149 @p148) :args (@t25)) % 0.36/0.58 (step @p151 :rule refl :args (@t27)) % 0.36/0.58 (step @p152 :rule cong :premises (@p151 @p150) :args (@t28)) % 0.36/0.58 (step @p153 :rule cong :premises (@p152) :args (@t30)) % 0.36/0.58 (step @p154 :rule trans :premises (@p153 @p92)) % 0.36/0.58 (step @p155 :rule eq_resolve :premises (@p4 @p154)) % 0.36/0.58 (step @p156 :rule eq-symm :args (@t56 @t12)) % 0.36/0.58 (step @p157 :rule refl :args (@t99)) % 0.36/0.58 (step @p158 :rule refl :args (@t69)) % 0.36/0.58 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t100)) % 0.36/0.58 (step @p160 :rule cong :premises (@p159) :args (@t101)) % 0.36/0.58 (step @p161 :rule refl :args (@t59)) % 0.36/0.58 (step @p162 :rule refl :args (@t57)) % 0.36/0.58 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args (@t102)) % 0.36/0.58 (step @p164 :rule aci_norm :args ((= (and @t60 true) @t60))) % 0.36/0.58 (step @p165 :rule eq-refl :args (@t56)) % 0.36/0.58 (step @p166 :rule refl :args (@t60)) % 0.36/0.58 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t103)) % 0.36/0.58 (step @p168 :rule trans :premises (@p167 @p164)) % 0.36/0.58 (step @p169 :rule cong :premises (@p168 @p163) :args (@t104)) % 0.36/0.58 (step @p170 :rule refl :args (@t64)) % 0.36/0.58 (step @p171 :rule refl :args (@t63)) % 0.36/0.58 (step @p172 :rule nary_cong :premises (@p171 @p170 @p170 @p169) :args (@t105)) % 0.36/0.58 (step @p173 :rule refl :args (@t106)) % 0.36/0.58 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t106 @t105))) % 0.36/0.58 (assume-push @p200 @t106) % 0.36/0.58 (step @p176 :rule instantiate :premises (@p155) :args ((@list @t58 @t56 @t56))) % 0.36/0.58 (step-pop @p201 :rule scope :premises (@p176)) % 0.36/0.58 (step @p177 :rule process_scope :premises (@p201) :args (@t105)) % 0.36/0.58 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 0.36/0.58 (step @p180 :rule implies_elim :premises (@p179)) % 0.36/0.58 (step @p181 :rule chain_m_resolution :premises (@p180 @p155) :args (@t109 (@list false) (@list @t106))) % 0.36/0.58 (step @p182 :rule cnf_or_neg :args (@t65 3)) % 0.36/0.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p52) :args ((not @t59) @t66 @t67)) % 0.36/0.58 (step @p184 :rule cnf_and_pos :args (@t107 1)) % 0.36/0.58 (step @p185 :rule reordering :premises (@p184) :args ((or @t59 @t110))) % 0.36/0.58 (step @p186 :rule chain_m_resolution :premises (@p185 @p183) :args (@t110 @t66 (@list @t59))) % 0.36/0.58 (step @p187 :rule bool-double-not-elim :args (@t60)) % 0.36/0.58 (step @p188 :rule nary_cong :premises (@p54 @p187) :args ((or @t65 (not @t61)))) % 0.36/0.58 (step @p189 :rule cnf_or_neg :args (@t65 2)) % 0.36/0.58 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.36/0.58 (step @p191 :rule reordering :premises (@p190) :args ((or @t60 @t65))) % 0.36/0.58 (step @p192 :rule chain_m_resolution :premises (@p191 @p52) :args (@t60 @t66 @t67)) % 0.36/0.58 (step @p193 :rule cnf_equiv_pos1 :args (@t108)) % 0.36/0.58 (step @p194 :rule reordering :premises (@p193) :args ((or @t61 @t107 @t111))) % 0.36/0.58 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p186) :args (@t111 (@list false true) (@list @t60 @t107))) % 0.36/0.58 (step @p196 :rule cnf_or_pos :args (@t109)) % 0.36/0.58 (step @p197 :rule factoring :premises (@p196)) % 0.36/0.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t64 @t63 @t108 (not @t109)))) % 0.36/0.58 (step @p199 false :rule chain_m_resolution :premises (@p198 @p195 @p181 @p65 @p59) :args (false (@list true false false false) (@list @t108 @t109 @t62 @t57))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------