%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU667^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:52:39 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU667^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 17:45:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.37/0.56 (declare-const tptp.dpsetconstrSub Bool) % 0.37/0.56 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.37/0.56 (define tptp.dpsetconstr () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xu" $$unsorted))) (let ((_let_4 (@var "Xphi" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (@var "B" $$unsorted))) (let ((_let_6 (@var "A" $$unsorted))) (lambda (@list _let_6 _let_5 _let_4) (_ (_ tptp.dsetconstr (_ (_ tptp.cartprod _let_6) _let_5)) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_6) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (_ (_ _let_4 _let_2) _let_1) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1)))))))))))))))) % 0.37/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t3 () (_ (_ tptp.cartprod @t2) @t1)) % 0.37/0.56 (define @t4 () (@var "Xy" $$unsorted)) % 0.37/0.56 (define @t5 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t6 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.37/0.56 (define @t7 () (_ @t6 @t5)) % 0.37/0.56 (define @t8 () (_ @t7 @t4)) % 0.37/0.56 (define @t9 () (lambda (@list @t5 @t4) @t8)) % 0.37/0.56 (define @t10 () (_ (_ (_ tptp.dpsetconstr @t2) @t1) @t9)) % 0.37/0.56 (define @t11 () (@list @t2 @t1 @t6)) % 0.37/0.56 (define @t12 () (forall @t11 (_ (_ tptp.subset @t10) @t3))) % 0.37/0.56 (define @t13 () (= tptp.dpsetconstrSub @t12)) % 0.37/0.56 (define @t14 () (forall @t11 (_ (_ (_ tptp.breln @t2) @t1) @t10))) % 0.37/0.56 (define @t15 () (=> tptp.dpsetconstrSub @t14)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (@var "C" $$unsorted)) % 0.37/0.56 (define @t18 () (_ (_ tptp.subset @t17) @t3)) % 0.37/0.56 (define @t19 () (lambda (@list @t2 @t1 @t17) @t18)) % 0.37/0.56 (define @t20 () (_ tptp.kpair @t5)) % 0.37/0.56 (define @t21 () (_ @t20 @t4)) % 0.37/0.56 (define @t22 () (@var "Xu" $$unsorted)) % 0.37/0.56 (define @t23 () (= @t22 @t21)) % 0.37/0.56 (define @t24 () (_ (_ tptp.in @t4) @t1)) % 0.37/0.56 (define @t25 () (and @t24 @t8 @t23)) % 0.37/0.56 (define @t26 () (@list @t4)) % 0.37/0.56 (define @t27 () (exists @t26 @t25)) % 0.37/0.56 (define @t28 () (_ (_ tptp.in @t5) @t2)) % 0.37/0.56 (define @t29 () (and @t28 @t27)) % 0.37/0.56 (define @t30 () (@list @t5)) % 0.37/0.56 (define @t31 () (exists @t30 @t29)) % 0.37/0.56 (define @t32 () (@list @t22)) % 0.37/0.56 (define @t33 () (lambda @t32 @t31)) % 0.37/0.56 (define @t34 () (_ tptp.dsetconstr @t3)) % 0.37/0.56 (define @t35 () (lambda @t11 (_ @t34 @t33))) % 0.37/0.56 (define @t36 () (@var "BOUND_VARIABLE_7487" $$unsorted)) % 0.37/0.56 (define @t37 () (_ @t7 @t36)) % 0.37/0.56 (define @t38 () (not @t37)) % 0.37/0.56 (define @t39 () (not @t28)) % 0.37/0.56 (define @t40 () (@list @t5 @t36)) % 0.37/0.56 (define @t41 () (lambda @t32 (not (forall @t40 (or @t39 (not (_ (_ tptp.in @t36) @t1)) @t38 (not (= @t22 (_ @t20 @t36)))))))) % 0.37/0.56 (define @t42 () (_ @t34 @t41)) % 0.37/0.56 (define @t43 () (tptp.cartprod @t2 @t1)) % 0.37/0.56 (define @t44 () (tptp.kpair @t5 @t36)) % 0.37/0.56 (define @t45 () (= @t22 @t44)) % 0.37/0.56 (define @t46 () (not @t45)) % 0.37/0.56 (define @t47 () (_ @t6 @t5 @t36)) % 0.37/0.56 (define @t48 () (not @t47)) % 0.37/0.56 (define @t49 () (tptp.in @t36 @t1)) % 0.37/0.56 (define @t50 () (not @t49)) % 0.37/0.56 (define @t51 () (tptp.in @t5 @t2)) % 0.37/0.56 (define @t52 () (not @t51)) % 0.37/0.56 (define @t53 () (or @t52 @t50 @t48 @t46)) % 0.37/0.56 (define @t54 () (forall @t40 @t53)) % 0.37/0.56 (define @t55 () (not @t54)) % 0.37/0.56 (define @t56 () (lambda @t32 @t55)) % 0.37/0.56 (define @t57 () (tptp.dsetconstr @t43 @t56)) % 0.37/0.56 (define @t58 () (tptp.subset @t57 @t43)) % 0.37/0.56 (define @t59 () (_ @t34 @t56)) % 0.37/0.56 (define @t60 () (_ (_ tptp.subset @t59) @t3)) % 0.37/0.56 (define @t61 () (lambda (@list @t17) @t18)) % 0.37/0.56 (define @t62 () (or @t52 @t50 @t38 @t46)) % 0.37/0.56 (define @t63 () (_ @t9 @t5 @t36)) % 0.37/0.56 (define @t64 () (not @t63)) % 0.37/0.56 (define @t65 () (or @t52 @t50 @t64 @t46)) % 0.37/0.56 (define @t66 () (forall @t40 @t65)) % 0.37/0.56 (define @t67 () (not @t66)) % 0.37/0.56 (define @t68 () (lambda @t32 @t67)) % 0.37/0.56 (define @t69 () (lambda (@list @t6) @t59)) % 0.37/0.56 (define @t70 () (lambda (@list @t1 @t6) @t59)) % 0.37/0.56 (define @t71 () (_ (lambda @t11 @t59) @t2)) % 0.37/0.56 (define @t72 () (lambda (@list @t1 @t17) @t18)) % 0.37/0.56 (define @t73 () (_ @t19 @t2)) % 0.37/0.56 (define @t74 () (_ (_ @t71 @t1) @t9)) % 0.37/0.56 (define @t75 () (forall @t11 (_ (_ @t73 @t1) @t74))) % 0.37/0.56 (define @t76 () (=> tptp.dpsetconstrSub @t75)) % 0.37/0.56 (define @t77 () (or @t50 @t48 @t46)) % 0.37/0.56 (define @t78 () (or @t52 @t77)) % 0.37/0.56 (define @t79 () (forall @t40 @t78)) % 0.37/0.56 (define @t80 () (@list @t36)) % 0.37/0.56 (define @t81 () (forall @t80 @t78)) % 0.37/0.56 (define @t82 () (forall @t80 @t77)) % 0.37/0.56 (define @t83 () (or @t52 @t82)) % 0.37/0.56 (define @t84 () (tptp.kpair @t5 @t4)) % 0.37/0.56 (define @t85 () (_ @t6 @t5 @t4)) % 0.37/0.56 (define @t86 () (tptp.in @t4 @t1)) % 0.37/0.56 (define @t87 () (forall @t26 (or (not @t86) (not @t85) (not (= @t22 @t84))))) % 0.37/0.56 (define @t88 () (or @t39 @t87)) % 0.37/0.56 (define @t89 () (not @t87)) % 0.37/0.56 (define @t90 () (and @t28 @t89)) % 0.37/0.56 (define @t91 () (forall @t30 (not @t90))) % 0.37/0.56 (define @t92 () (not @t91)) % 0.37/0.56 (define @t93 () (not @t23)) % 0.37/0.56 (define @t94 () (not @t8)) % 0.37/0.56 (define @t95 () (not @t24)) % 0.37/0.56 (define @t96 () (or @t95 @t94 @t93)) % 0.37/0.56 (define @t97 () (forall @t26 (not @t25))) % 0.37/0.56 (define @t98 () (not @t97)) % 0.37/0.56 (define @t99 () (forall @t11 @t58)) % 0.37/0.56 (define @t100 () (forall @t11 (_ (_ tptp.subset @t74) @t3))) % 0.37/0.56 (assume @p1 @t13) % 0.37/0.56 (assume @p2 @t16) % 0.37/0.56 (assume @p3 true) % 0.37/0.56 (step @p4 (= tptp.breln @t19) :rule refl :args (@t19)) % 0.37/0.56 (step @p5 (= tptp.dpsetconstr @t35) :rule refl :args (@t35)) % 0.37/0.56 (step @p6 :rule refl :args ((tptp.subset @t42 @t3))) % 0.37/0.56 (step @p7 :rule refl :args (@t43)) % 0.37/0.56 (step @p8 :rule refl :args ((tptp.dsetconstr @t3 @t41))) % 0.37/0.56 (step @p9 :rule refl :args (@t44)) % 0.37/0.56 (step @p10 :rule refl :args (@t22)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t45)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11) :args (@t46)) % 0.37/0.56 (step @p13 :rule refl :args (@t47)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13) :args (@t48)) % 0.37/0.56 (step @p15 :rule refl :args (@t49)) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args (@t50)) % 0.37/0.56 (step @p17 :rule refl :args (@t51)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17) :args (@t52)) % 0.37/0.56 (step @p19 :rule nary_cong :premises (@p18 @p16 @p14 @p12) :args (@t53)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args (@t54)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20) :args (@t55)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21) :args (@t56)) % 0.37/0.56 (step @p23 :rule cong :premises (@p7 @p22) :args (@t57)) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p8)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24 @p7) :args (@t58)) % 0.37/0.56 (step @p26 :rule trans :premises (@p25 @p6)) % 0.37/0.56 (step @p27 :rule refl :args (tptp.subset)) % 0.37/0.56 (step @p28 :rule ho_cong :premises (@p27 @p24)) % 0.37/0.56 (step @p29 :rule ho_cong :premises (@p28 @p7)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29 @p26) :args ((= (_ (_ tptp.subset @t57) @t43) @t58))) % 0.37/0.56 (step @p31 :rule symm :premises (@p30)) % 0.37/0.56 (step @p32 :rule refl :args ((_ (_ tptp.subset @t42) @t3))) % 0.37/0.56 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.37/0.56 (step @p34 :rule refl :args (@t3)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34 @p7) :args ((= @t3 @t43))) % 0.37/0.56 (step @p36 :rule symm :premises (@p35)) % 0.37/0.56 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.37/0.56 (step @p38 :rule refl :args (tptp.dsetconstr)) % 0.37/0.56 (step @p39 :rule ho_cong :premises (@p38 @p7)) % 0.37/0.56 (step @p40 :rule ho_cong :premises (@p39 @p22)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40 @p24) :args ((= (_ (_ tptp.dsetconstr @t43) @t56) @t57))) % 0.37/0.56 (step @p42 :rule symm :premises (@p41)) % 0.37/0.56 (step @p43 :rule refl :args (@t42)) % 0.37/0.56 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.56 (step @p45 :rule refl :args (@t56)) % 0.37/0.56 (step @p46 :rule ho_cong :premises (@p38 @p37)) % 0.37/0.56 (step @p47 :rule ho_cong :premises (@p46 @p45)) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p44)) % 0.37/0.56 (step @p49 :rule ho_cong :premises (@p27 @p48)) % 0.37/0.56 (step @p50 :rule ho_cong :premises (@p49 @p37)) % 0.37/0.56 (step @p51 :rule trans :premises (@p50 @p33)) % 0.37/0.56 (step @p52 :rule cong :premises (@p51) :args ((forall @t11 @t60))) % 0.37/0.56 (step @p53 :rule beta-reduce :args ((= (_ @t61 @t59) @t60))) % 0.37/0.56 (step @p54 :rule refl :args (@t46)) % 0.37/0.56 (step @p55 :rule refl :args (@t37)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55 @p13) :args ((= @t37 @t47))) % 0.37/0.56 (step @p57 :rule symm :premises (@p56)) % 0.37/0.56 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.37/0.56 (step @p59 :rule cong :premises (@p58) :args (@t38)) % 0.37/0.56 (step @p60 :rule refl :args (@t50)) % 0.37/0.56 (step @p61 :rule refl :args (@t52)) % 0.37/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p54) :args (@t62)) % 0.37/0.56 (step @p63 :rule cong :premises (@p62) :args ((forall @t40 @t62))) % 0.37/0.56 (step @p64 :rule refl :args (@t46)) % 0.37/0.56 (step @p65 :rule beta-reduce :args ((= @t63 @t37))) % 0.37/0.56 (step @p66 :rule cong :premises (@p65) :args (@t64)) % 0.37/0.56 (step @p67 :rule refl :args (@t50)) % 0.37/0.56 (step @p68 :rule refl :args (@t52)) % 0.37/0.56 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66 @p64) :args (@t65)) % 0.37/0.56 (step @p70 :rule cong :premises (@p69) :args (@t66)) % 0.37/0.56 (step @p71 :rule trans :premises (@p70 @p63)) % 0.37/0.56 (step @p72 :rule cong :premises (@p71) :args (@t67)) % 0.37/0.56 (step @p73 :rule cong :premises (@p72) :args (@t68)) % 0.37/0.56 (step @p74 :rule refl :args (@t34)) % 0.37/0.56 (step @p75 :rule ho_cong :premises (@p74 @p73)) % 0.37/0.56 (step @p76 :rule beta-reduce :args ((= (_ @t69 @t9) (_ @t34 @t68)))) % 0.37/0.56 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.56 (step @p78 :rule refl :args (@t9)) % 0.37/0.56 (step @p79 :rule beta-reduce :args ((= (_ @t70 @t1) @t69))) % 0.37/0.56 (step @p80 :rule refl :args (@t1)) % 0.37/0.56 (step @p81 :rule beta-reduce :args ((= @t71 @t70))) % 0.37/0.56 (step @p82 :rule ho_cong :premises (@p81 @p80)) % 0.37/0.56 (step @p83 :rule trans :premises (@p82 @p79)) % 0.37/0.56 (step @p84 :rule ho_cong :premises (@p83 @p78)) % 0.37/0.56 (step @p85 :rule trans :premises (@p84 @p77)) % 0.37/0.56 (step @p86 :rule beta-reduce :args ((= (_ @t72 @t1) @t61))) % 0.37/0.56 (step @p87 :rule beta-reduce :args ((= @t73 @t72))) % 0.37/0.56 (step @p88 :rule ho_cong :premises (@p87 @p80)) % 0.37/0.56 (step @p89 :rule trans :premises (@p88 @p86)) % 0.37/0.56 (step @p90 :rule ho_cong :premises (@p89 @p85)) % 0.37/0.56 (step @p91 :rule trans :premises (@p90 @p53)) % 0.37/0.56 (step @p92 :rule cong :premises (@p91) :args (@t75)) % 0.37/0.56 (step @p93 :rule trans :premises (@p92 @p52)) % 0.37/0.56 (step @p94 :rule refl :args (tptp.dpsetconstrSub)) % 0.37/0.56 (step @p95 :rule cong :premises (@p94 @p93) :args (@t76)) % 0.37/0.56 (step @p96 :rule cong :premises (@p95) :args ((not @t76))) % 0.37/0.56 (step @p97 :rule refl :args (@t2)) % 0.37/0.56 (step @p98 :rule aci_norm :args ((= @t78 @t53))) % 0.37/0.56 (step @p99 :rule cong :premises (@p98) :args (@t79)) % 0.37/0.56 (step @p100 :rule quant-merge-prenex :args ((= (forall @t30 @t81) @t79))) % 0.37/0.56 (step @p101 :rule alpha_equiv :args (@t82 (@list @t36) (@list @t4))) % 0.37/0.56 (step @p102 :rule nary_cong :premises (@p61 @p101) :args (@t83)) % 0.37/0.56 (step @p103 :rule quant-miniscope-or :args ((= @t81 @t83))) % 0.37/0.56 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.56 (step @p105 :rule symm :premises (@p104)) % 0.37/0.56 (step @p106 :rule cong :premises (@p105) :args ((forall @t30 (or @t52 @t87)))) % 0.37/0.56 (step @p107 :rule trans :premises (@p106 @p100)) % 0.37/0.56 (step @p108 :rule trans :premises (@p107 @p99)) % 0.37/0.56 (step @p109 :rule refl :args (@t87)) % 0.37/0.56 (step @p110 :rule refl :args (@t28)) % 0.37/0.56 (step @p111 :rule cong :premises (@p110 @p17) :args ((= @t28 @t51))) % 0.37/0.56 (step @p112 :rule symm :premises (@p111)) % 0.37/0.56 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 0.37/0.56 (step @p114 :rule cong :premises (@p113) :args (@t39)) % 0.37/0.56 (step @p115 :rule nary_cong :premises (@p114 @p109) :args (@t88)) % 0.37/0.56 (step @p116 :rule cong :premises (@p115) :args ((forall @t30 @t88))) % 0.37/0.56 (step @p117 :rule trans :premises (@p116 @p108)) % 0.37/0.56 (step @p118 :rule bool-double-not-elim :args (@t87)) % 0.37/0.56 (step @p119 :rule refl :args (@t39)) % 0.37/0.56 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t39 (not @t89)))) % 0.37/0.56 (step @p121 :rule bool-and-de-morgan :args (@t28 @t89 true)) % 0.37/0.56 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.56 (step @p123 :rule cong :premises (@p122) :args (@t91)) % 0.37/0.56 (step @p124 :rule trans :premises (@p123 @p117)) % 0.37/0.56 (step @p125 :rule cong :premises (@p124) :args (@t92)) % 0.37/0.56 (step @p126 :rule exists-elim :args ((= (exists @t30 @t90) @t92))) % 0.37/0.56 (step @p127 :rule trans :premises (@p126 @p125)) % 0.37/0.56 (step @p128 :rule refl :args (@t84)) % 0.37/0.56 (step @p129 :rule refl :args (@t21)) % 0.37/0.56 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t21 @t84))) % 0.37/0.56 (step @p131 :rule symm :premises (@p130)) % 0.37/0.56 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.37/0.56 (step @p133 :rule cong :premises (@p10 @p132) :args (@t23)) % 0.37/0.56 (step @p134 :rule cong :premises (@p133) :args (@t93)) % 0.37/0.56 (step @p135 :rule refl :args (@t85)) % 0.37/0.56 (step @p136 :rule refl :args (@t8)) % 0.37/0.56 (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t8 @t85))) % 0.37/0.56 (step @p138 :rule symm :premises (@p137)) % 0.37/0.56 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.37/0.56 (step @p140 :rule cong :premises (@p139) :args (@t94)) % 0.37/0.56 (step @p141 :rule refl :args (@t86)) % 0.37/0.56 (step @p142 :rule refl :args (@t24)) % 0.37/0.56 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t24 @t86))) % 0.37/0.56 (step @p144 :rule symm :premises (@p143)) % 0.37/0.56 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 0.37/0.56 (step @p146 :rule cong :premises (@p145) :args (@t95)) % 0.37/0.56 (step @p147 :rule nary_cong :premises (@p146 @p140 @p134) :args (@t96)) % 0.37/0.56 (step @p148 :rule cong :premises (@p147) :args ((forall @t26 @t96))) % 0.37/0.56 (step @p149 :rule aci_norm :args ((= (or @t95 (or @t94 @t93)) @t96))) % 0.37/0.56 (step @p150 :rule bool-and-de-morgan :args (@t8 @t23 true)) % 0.37/0.56 (step @p151 :rule refl :args (@t95)) % 0.37/0.56 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t95 (not (and @t8 @t23))))) % 0.37/0.56 (step @p153 :rule bool-and-de-morgan :args (@t24 @t8 (and @t23))) % 0.37/0.56 (step @p154 :rule trans :premises (@p153 @p152)) % 0.37/0.56 (step @p155 :rule trans :premises (@p154 @p149)) % 0.37/0.56 (step @p156 :rule cong :premises (@p155) :args (@t97)) % 0.37/0.56 (step @p157 :rule trans :premises (@p156 @p148)) % 0.37/0.56 (step @p158 :rule cong :premises (@p157) :args (@t98)) % 0.37/0.56 (step @p159 :rule exists-elim :args ((= @t27 @t98))) % 0.37/0.56 (step @p160 :rule trans :premises (@p159 @p158)) % 0.37/0.56 (step @p161 :rule refl :args (@t28)) % 0.37/0.56 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t29)) % 0.37/0.56 (step @p163 :rule cong :premises (@p162) :args (@t31)) % 0.37/0.56 (step @p164 :rule trans :premises (@p163 @p127)) % 0.37/0.56 (step @p165 :rule cong :premises (@p164) :args (@t33)) % 0.37/0.56 (step @p166 :rule ho_cong :premises (@p74 @p165)) % 0.37/0.56 (step @p167 :rule cong :premises (@p166) :args (@t35)) % 0.37/0.56 (step @p168 :rule trans :premises (@p5 @p167)) % 0.37/0.56 (step @p169 :rule ho_cong :premises (@p168 @p97)) % 0.37/0.56 (step @p170 :rule ho_cong :premises (@p169 @p80)) % 0.37/0.56 (step @p171 :rule ho_cong :premises (@p170 @p78)) % 0.37/0.56 (step @p172 :rule ho_cong :premises (@p4 @p97)) % 0.37/0.56 (step @p173 :rule ho_cong :premises (@p172 @p80)) % 0.37/0.56 (step @p174 :rule ho_cong :premises (@p173 @p171)) % 0.37/0.56 (step @p175 :rule cong :premises (@p174) :args (@t14)) % 0.37/0.56 (step @p176 :rule cong :premises (@p94 @p175) :args (@t15)) % 0.37/0.56 (step @p177 :rule cong :premises (@p176) :args (@t16)) % 0.37/0.56 (step @p178 :rule trans :premises (@p177 @p96)) % 0.37/0.56 (step @p179 :rule eq_resolve :premises (@p2 @p178)) % 0.37/0.56 (step @p180 :rule not_implies_elim2 :premises (@p179)) % 0.37/0.56 (step @p181 :rule not_implies_elim1 :premises (@p179)) % 0.37/0.56 (step @p182 :rule cnf_equiv_pos1 :args ((= tptp.dpsetconstrSub @t99))) % 0.37/0.56 (step @p183 :rule chain_resolution :premises (@p182 @p181 @p180) :args ((@list false true) (@list tptp.dpsetconstrSub @t99))) % 0.37/0.56 (step @p184 :rule refl :args (@t3)) % 0.37/0.56 (step @p185 :rule refl :args (tptp.subset)) % 0.37/0.56 (step @p186 :rule ho_cong :premises (@p185 @p85)) % 0.37/0.56 (step @p187 :rule ho_cong :premises (@p186 @p184)) % 0.37/0.56 (step @p188 :rule cong :premises (@p187) :args (@t100)) % 0.37/0.56 (step @p189 :rule trans :premises (@p188 @p52)) % 0.37/0.56 (step @p190 :rule cong :premises (@p94 @p189) :args ((= tptp.dpsetconstrSub @t100))) % 0.37/0.56 (step @p191 :rule ho_cong :premises (@p185 @p171)) % 0.37/0.56 (step @p192 :rule ho_cong :premises (@p191 @p184)) % 0.37/0.56 (step @p193 :rule cong :premises (@p192) :args (@t12)) % 0.37/0.56 (step @p194 :rule cong :premises (@p94 @p193) :args (@t13)) % 0.37/0.56 (step @p195 :rule trans :premises (@p194 @p190)) % 0.37/0.56 (step @p196 :rule eq_resolve :premises (@p1 @p195)) % 0.37/0.56 (step @p197 false :rule contra :premises (@p196 @p183)) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------