%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU682^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:52:43 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU682^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n019.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:46:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.brelnall1 Bool) % 0.37/0.58 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.37/0.58 (define @t1 () (@var "Xx" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.37/0.58 (define @t3 () (_ @t2 @t1)) % 0.37/0.58 (define @t4 () (@var "R" $$unsorted)) % 0.37/0.58 (define @t5 () (_ tptp.in @t1)) % 0.37/0.58 (define @t6 () (_ @t5 @t4)) % 0.37/0.58 (define @t7 () (@list @t1)) % 0.37/0.58 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.37/0.58 (define @t9 () (@var "Xy" $$unsorted)) % 0.37/0.58 (define @t10 () (_ (_ tptp.kpair @t1) @t9)) % 0.37/0.58 (define @t11 () (_ @t2 @t10)) % 0.37/0.58 (define @t12 () (_ (_ tptp.in @t10) @t4)) % 0.37/0.58 (define @t13 () (=> @t12 @t11)) % 0.37/0.58 (define @t14 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t15 () (_ (_ tptp.in @t9) @t14)) % 0.37/0.58 (define @t16 () (@list @t9)) % 0.37/0.58 (define @t17 () (forall @t16 (=> @t15 @t13))) % 0.37/0.58 (define @t18 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t19 () (_ @t5 @t18)) % 0.37/0.58 (define @t20 () (=> @t19 @t17)) % 0.37/0.58 (define @t21 () (forall @t7 @t20)) % 0.37/0.58 (define @t22 () (=> @t21 @t8)) % 0.37/0.58 (define @t23 () (@list @t2)) % 0.37/0.58 (define @t24 () (forall @t23 @t22)) % 0.37/0.58 (define @t25 () (=> (_ (_ (_ tptp.breln @t18) @t14) @t4) @t24)) % 0.37/0.58 (define @t26 () (@list @t18 @t14 @t4)) % 0.37/0.58 (define @t27 () (forall @t26 @t25)) % 0.37/0.58 (define @t28 () (= tptp.brelnall1 @t27)) % 0.37/0.58 (define @t29 () (=> tptp.brelnall1 @t27)) % 0.37/0.58 (define @t30 () (not @t29)) % 0.37/0.58 (define @t31 () (_ (_ tptp.cartprod @t18) @t14)) % 0.37/0.58 (define @t32 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t33 () (_ (_ tptp.subset @t32) @t31)) % 0.37/0.58 (define @t34 () (lambda (@list @t18 @t14 @t32) @t33)) % 0.37/0.58 (define @t35 () (@var "BOUND_VARIABLE_7556" $$unsorted)) % 0.37/0.58 (define @t36 () (@var "BOUND_VARIABLE_7554" (-> $$unsorted Bool))) % 0.37/0.58 (define @t37 () (_ @t36 @t35)) % 0.37/0.58 (define @t38 () (not (tptp.in @t35 @t4))) % 0.37/0.58 (define @t39 () (@var "BOUND_VARIABLE_7505" $$unsorted)) % 0.37/0.58 (define @t40 () (tptp.kpair @t1 @t39)) % 0.37/0.58 (define @t41 () (not (tptp.in @t40 @t4))) % 0.37/0.58 (define @t42 () (not (tptp.in @t39 @t14))) % 0.37/0.58 (define @t43 () (tptp.in @t1 @t18)) % 0.37/0.58 (define @t44 () (not @t43)) % 0.37/0.58 (define @t45 () (@list @t1 @t39)) % 0.37/0.58 (define @t46 () (not (forall @t45 (or @t44 @t42 @t41 (_ @t36 @t40))))) % 0.37/0.58 (define @t47 () (tptp.cartprod @t18 @t14)) % 0.37/0.58 (define @t48 () (tptp.subset @t4 @t47)) % 0.37/0.58 (define @t49 () (not @t48)) % 0.37/0.58 (define @t50 () (or @t49 @t46 @t38 @t37)) % 0.37/0.58 (define @t51 () (or @t46 @t38 @t37)) % 0.37/0.58 (define @t52 () (or @t49 @t51)) % 0.37/0.58 (define @t53 () (@list @t18 @t14 @t4 @t36 @t35)) % 0.37/0.58 (define @t54 () (forall @t53 @t52)) % 0.37/0.58 (define @t55 () (@list @t36 @t35)) % 0.37/0.58 (define @t56 () (forall @t55 @t52)) % 0.37/0.58 (define @t57 () (forall @t55 @t51)) % 0.37/0.58 (define @t58 () (@var "BOUND_VARIABLE_7532" $$unsorted)) % 0.37/0.58 (define @t59 () (or @t49 @t57)) % 0.37/0.58 (define @t60 () (_ @t2 @t58)) % 0.37/0.58 (define @t61 () (not (tptp.in @t58 @t4))) % 0.37/0.58 (define @t62 () (_ @t2 @t40)) % 0.37/0.58 (define @t63 () (or @t44 @t42 @t41 @t62)) % 0.37/0.58 (define @t64 () (forall @t45 @t63)) % 0.37/0.58 (define @t65 () (not @t64)) % 0.37/0.58 (define @t66 () (or @t65 @t61 @t60)) % 0.37/0.58 (define @t67 () (@list @t2 @t58)) % 0.37/0.58 (define @t68 () (forall @t67 @t66)) % 0.37/0.58 (define @t69 () (_ tptp.subset @t4)) % 0.37/0.58 (define @t70 () (_ @t69 @t31)) % 0.37/0.58 (define @t71 () (not @t70)) % 0.37/0.58 (define @t72 () (or @t71 @t68)) % 0.37/0.58 (define @t73 () (or @t61 @t60)) % 0.37/0.58 (define @t74 () (or @t65 @t73)) % 0.37/0.58 (define @t75 () (forall @t67 @t74)) % 0.37/0.58 (define @t76 () (@list @t58)) % 0.37/0.58 (define @t77 () (forall @t76 @t74)) % 0.37/0.58 (define @t78 () (forall @t76 @t73)) % 0.37/0.58 (define @t79 () (or @t65 @t78)) % 0.37/0.58 (define @t80 () (_ @t2 @t1)) % 0.37/0.58 (define @t81 () (tptp.in @t1 @t4)) % 0.37/0.58 (define @t82 () (forall @t7 (or (not @t81) @t80))) % 0.37/0.58 (define @t83 () (not @t6)) % 0.37/0.58 (define @t84 () (or @t83 @t3)) % 0.37/0.58 (define @t85 () (or @t42 @t41 @t62)) % 0.37/0.58 (define @t86 () (or @t44 @t85)) % 0.37/0.58 (define @t87 () (forall @t45 @t86)) % 0.37/0.58 (define @t88 () (@list @t39)) % 0.37/0.58 (define @t89 () (forall @t88 @t86)) % 0.37/0.58 (define @t90 () (forall @t88 @t85)) % 0.37/0.58 (define @t91 () (or @t44 @t90)) % 0.37/0.58 (define @t92 () (tptp.kpair @t1 @t9)) % 0.37/0.58 (define @t93 () (_ @t2 @t92)) % 0.37/0.58 (define @t94 () (tptp.in @t92 @t4)) % 0.37/0.58 (define @t95 () (tptp.in @t9 @t14)) % 0.37/0.58 (define @t96 () (forall @t16 (or (not @t95) (not @t94) @t93))) % 0.37/0.58 (define @t97 () (not @t19)) % 0.37/0.58 (define @t98 () (or @t97 @t96)) % 0.37/0.58 (define @t99 () (not @t12)) % 0.37/0.58 (define @t100 () (not @t15)) % 0.37/0.58 (define @t101 () (or @t100 @t99 @t11)) % 0.37/0.58 (define @t102 () (lambda (@list @t32) @t33)) % 0.37/0.58 (define @t103 () (lambda (@list @t14 @t32) @t33)) % 0.37/0.58 (define @t104 () (_ @t34 @t18)) % 0.37/0.58 (define @t105 () (=> (_ (_ @t104 @t14) @t4) @t24)) % 0.37/0.58 (define @t106 () (forall @t26 @t105)) % 0.37/0.58 (define @t107 () (=> tptp.brelnall1 @t106)) % 0.37/0.58 (define @t108 () (forall @t53 @t50)) % 0.37/0.58 (assume @p1 @t28) % 0.37/0.58 (assume @p2 @t30) % 0.37/0.58 (assume @p3 true) % 0.37/0.58 (step @p4 (= tptp.breln @t34) :rule refl :args (@t34)) % 0.37/0.58 (step @p5 :rule aci_norm :args ((= @t52 @t50))) % 0.37/0.58 (step @p6 :rule cong :premises (@p5) :args (@t54)) % 0.37/0.58 (step @p7 :rule quant-merge-prenex :args ((= (forall @t26 @t56) @t54))) % 0.37/0.58 (step @p8 :rule alpha_equiv :args (@t57 (@list @t36 @t35) (@list @t2 @t58))) % 0.37/0.58 (step @p9 :rule refl :args (@t49)) % 0.37/0.58 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t59)) % 0.37/0.58 (step @p11 :rule quant-miniscope-or :args ((= @t56 @t59))) % 0.37/0.58 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.58 (step @p13 :rule symm :premises (@p12)) % 0.37/0.58 (step @p14 :rule cong :premises (@p13) :args ((forall @t26 (or @t49 @t68)))) % 0.37/0.58 (step @p15 :rule trans :premises (@p14 @p7)) % 0.37/0.58 (step @p16 :rule trans :premises (@p15 @p6)) % 0.37/0.58 (step @p17 :rule refl :args (@t68)) % 0.37/0.58 (step @p18 :rule refl :args ((tptp.subset @t4 @t31))) % 0.37/0.58 (step @p19 :rule refl :args (@t47)) % 0.37/0.58 (step @p20 :rule refl :args (@t4)) % 0.37/0.58 (step @p21 :rule cong :premises (@p20 @p19) :args (@t48)) % 0.37/0.58 (step @p22 :rule trans :premises (@p21 @p18)) % 0.37/0.58 (step @p23 :rule refl :args (@t69)) % 0.37/0.58 (step @p24 :rule ho_cong :premises (@p23 @p19)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24 @p22) :args ((= (_ @t69 @t47) @t48))) % 0.37/0.58 (step @p26 :rule symm :premises (@p25)) % 0.37/0.58 (step @p27 :rule refl :args (@t70)) % 0.37/0.58 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.37/0.58 (step @p29 :rule refl :args (@t31)) % 0.37/0.58 (step @p30 :rule cong :premises (@p29 @p19) :args ((= @t31 @t47))) % 0.37/0.58 (step @p31 :rule symm :premises (@p30)) % 0.37/0.58 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.37/0.58 (step @p33 :rule ho_cong :premises (@p23 @p32)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p28)) % 0.37/0.58 (step @p35 :rule cong :premises (@p34) :args (@t71)) % 0.37/0.58 (step @p36 :rule nary_cong :premises (@p35 @p17) :args (@t72)) % 0.37/0.58 (step @p37 :rule cong :premises (@p36) :args ((forall @t26 @t72))) % 0.37/0.58 (step @p38 :rule trans :premises (@p37 @p16)) % 0.37/0.58 (step @p39 :rule bool-impl-elim :args (@t70 @t68)) % 0.37/0.58 (step @p40 :rule cong :premises (@p39) :args ((forall @t26 (=> @t70 @t68)))) % 0.37/0.58 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.58 (step @p42 :rule aci_norm :args ((= @t74 @t66))) % 0.37/0.58 (step @p43 :rule cong :premises (@p42) :args (@t75)) % 0.37/0.58 (step @p44 :rule quant-merge-prenex :args ((= (forall @t23 @t77) @t75))) % 0.37/0.58 (step @p45 :rule alpha_equiv :args (@t78 (@list @t58) (@list @t1))) % 0.37/0.58 (step @p46 :rule refl :args (@t65)) % 0.37/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t79)) % 0.37/0.58 (step @p48 :rule quant-miniscope-or :args ((= @t77 @t79))) % 0.37/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.58 (step @p50 :rule symm :premises (@p49)) % 0.37/0.58 (step @p51 :rule cong :premises (@p50) :args ((forall @t23 (or @t65 @t82)))) % 0.37/0.58 (step @p52 :rule trans :premises (@p51 @p44)) % 0.37/0.58 (step @p53 :rule trans :premises (@p52 @p43)) % 0.37/0.58 (step @p54 :rule bool-impl-elim :args (@t64 @t82)) % 0.37/0.58 (step @p55 :rule cong :premises (@p54) :args ((forall @t23 (=> @t64 @t82)))) % 0.37/0.58 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.58 (step @p57 :rule refl :args (@t80)) % 0.37/0.58 (step @p58 :rule refl :args (@t3)) % 0.37/0.58 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t3 @t80))) % 0.37/0.58 (step @p60 :rule symm :premises (@p59)) % 0.37/0.58 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.37/0.58 (step @p62 :rule refl :args (@t81)) % 0.37/0.58 (step @p63 :rule refl :args (@t6)) % 0.37/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t6 @t81))) % 0.37/0.58 (step @p65 :rule symm :premises (@p64)) % 0.37/0.58 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.37/0.58 (step @p67 :rule cong :premises (@p66) :args (@t83)) % 0.37/0.58 (step @p68 :rule nary_cong :premises (@p67 @p61) :args (@t84)) % 0.37/0.58 (step @p69 :rule cong :premises (@p68) :args ((forall @t7 @t84))) % 0.37/0.58 (step @p70 :rule bool-impl-elim :args (@t6 @t3)) % 0.37/0.58 (step @p71 :rule cong :premises (@p70) :args (@t8)) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p69)) % 0.37/0.58 (step @p73 :rule aci_norm :args ((= @t86 @t63))) % 0.37/0.58 (step @p74 :rule cong :premises (@p73) :args (@t87)) % 0.37/0.58 (step @p75 :rule quant-merge-prenex :args ((= (forall @t7 @t89) @t87))) % 0.37/0.58 (step @p76 :rule alpha_equiv :args (@t90 (@list @t39) (@list @t9))) % 0.37/0.58 (step @p77 :rule refl :args (@t44)) % 0.37/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t91)) % 0.37/0.58 (step @p79 :rule quant-miniscope-or :args ((= @t89 @t91))) % 0.37/0.58 (step @p80 :rule trans :premises (@p79 @p78)) % 0.37/0.58 (step @p81 :rule symm :premises (@p80)) % 0.37/0.58 (step @p82 :rule cong :premises (@p81) :args ((forall @t7 (or @t44 @t96)))) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p75)) % 0.37/0.58 (step @p84 :rule trans :premises (@p83 @p74)) % 0.37/0.58 (step @p85 :rule refl :args (@t96)) % 0.37/0.58 (step @p86 :rule refl :args (@t43)) % 0.37/0.58 (step @p87 :rule refl :args (@t19)) % 0.37/0.58 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t19 @t43))) % 0.37/0.58 (step @p89 :rule symm :premises (@p88)) % 0.37/0.58 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.37/0.58 (step @p91 :rule cong :premises (@p90) :args (@t97)) % 0.37/0.58 (step @p92 :rule nary_cong :premises (@p91 @p85) :args (@t98)) % 0.37/0.58 (step @p93 :rule cong :premises (@p92) :args ((forall @t7 @t98))) % 0.37/0.58 (step @p94 :rule trans :premises (@p93 @p84)) % 0.37/0.58 (step @p95 :rule bool-impl-elim :args (@t19 @t96)) % 0.37/0.58 (step @p96 :rule cong :premises (@p95) :args ((forall @t7 (=> @t19 @t96)))) % 0.37/0.58 (step @p97 :rule trans :premises (@p96 @p94)) % 0.37/0.58 (step @p98 :rule refl :args ((_ @t2 @t10))) % 0.37/0.58 (step @p99 :rule refl :args (@t92)) % 0.37/0.58 (step @p100 :rule cong :premises (@p99) :args (@t93)) % 0.37/0.58 (step @p101 :rule trans :premises (@p100 @p98)) % 0.37/0.58 (step @p102 :rule refl :args (@t2)) % 0.37/0.58 (step @p103 :rule ho_cong :premises (@p102 @p99)) % 0.37/0.58 (step @p104 :rule cong :premises (@p103 @p101) :args ((= (_ @t2 @t92) @t93))) % 0.37/0.58 (step @p105 :rule symm :premises (@p104)) % 0.37/0.58 (step @p106 :rule refl :args (@t11)) % 0.37/0.58 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.37/0.58 (step @p108 :rule refl :args (@t10)) % 0.37/0.58 (step @p109 :rule cong :premises (@p108 @p99) :args ((= @t10 @t92))) % 0.37/0.58 (step @p110 :rule symm :premises (@p109)) % 0.37/0.58 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.37/0.58 (step @p112 :rule ho_cong :premises (@p102 @p111)) % 0.37/0.58 (step @p113 :rule trans :premises (@p112 @p107)) % 0.37/0.58 (step @p114 :rule refl :args ((tptp.in @t10 @t4))) % 0.37/0.58 (step @p115 :rule cong :premises (@p99 @p20) :args (@t94)) % 0.37/0.58 (step @p116 :rule trans :premises (@p115 @p114)) % 0.37/0.58 (step @p117 :rule refl :args (tptp.in)) % 0.37/0.58 (step @p118 :rule ho_cong :premises (@p117 @p99)) % 0.37/0.58 (step @p119 :rule ho_cong :premises (@p118 @p20)) % 0.37/0.58 (step @p120 :rule cong :premises (@p119 @p116) :args ((= (_ (_ tptp.in @t92) @t4) @t94))) % 0.37/0.58 (step @p121 :rule symm :premises (@p120)) % 0.37/0.58 (step @p122 :rule refl :args (@t12)) % 0.37/0.58 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.37/0.58 (step @p124 :rule ho_cong :premises (@p117 @p111)) % 0.37/0.58 (step @p125 :rule ho_cong :premises (@p124 @p20)) % 0.37/0.58 (step @p126 :rule trans :premises (@p125 @p123)) % 0.37/0.58 (step @p127 :rule cong :premises (@p126) :args (@t99)) % 0.37/0.58 (step @p128 :rule refl :args (@t95)) % 0.37/0.58 (step @p129 :rule refl :args (@t15)) % 0.37/0.58 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t15 @t95))) % 0.37/0.58 (step @p131 :rule symm :premises (@p130)) % 0.37/0.58 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.37/0.58 (step @p133 :rule cong :premises (@p132) :args (@t100)) % 0.37/0.58 (step @p134 :rule nary_cong :premises (@p133 @p127 @p113) :args (@t101)) % 0.37/0.58 (step @p135 :rule cong :premises (@p134) :args ((forall @t16 @t101))) % 0.37/0.58 (step @p136 :rule aci_norm :args ((= (or @t100 (or @t99 @t11)) @t101))) % 0.37/0.58 (step @p137 :rule bool-impl-elim :args (@t12 @t11)) % 0.37/0.58 (step @p138 :rule refl :args (@t100)) % 0.37/0.58 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t100 @t13))) % 0.37/0.58 (step @p140 :rule trans :premises (@p139 @p136)) % 0.37/0.58 (step @p141 :rule bool-impl-elim :args (@t15 @t13)) % 0.37/0.58 (step @p142 :rule trans :premises (@p141 @p140)) % 0.37/0.58 (step @p143 :rule cong :premises (@p142) :args (@t17)) % 0.37/0.58 (step @p144 :rule trans :premises (@p143 @p135)) % 0.37/0.58 (step @p145 :rule refl :args (@t19)) % 0.37/0.58 (step @p146 :rule cong :premises (@p145 @p144) :args (@t20)) % 0.37/0.58 (step @p147 :rule cong :premises (@p146) :args (@t21)) % 0.37/0.58 (step @p148 :rule trans :premises (@p147 @p97)) % 0.37/0.58 (step @p149 :rule cong :premises (@p148 @p72) :args (@t22)) % 0.37/0.58 (step @p150 :rule cong :premises (@p149) :args (@t24)) % 0.37/0.58 (step @p151 :rule trans :premises (@p150 @p56)) % 0.37/0.58 (step @p152 :rule beta-reduce :args ((= (_ @t102 @t4) @t70))) % 0.37/0.58 (step @p153 :rule refl :args (@t4)) % 0.37/0.58 (step @p154 :rule beta-reduce :args ((= (_ @t103 @t14) @t102))) % 0.37/0.58 (step @p155 :rule refl :args (@t14)) % 0.37/0.58 (step @p156 :rule beta-reduce :args ((= @t104 @t103))) % 0.37/0.58 (step @p157 :rule ho_cong :premises (@p156 @p155)) % 0.37/0.58 (step @p158 :rule trans :premises (@p157 @p154)) % 0.37/0.58 (step @p159 :rule ho_cong :premises (@p158 @p153)) % 0.37/0.58 (step @p160 :rule trans :premises (@p159 @p152)) % 0.37/0.58 (step @p161 :rule cong :premises (@p160 @p151) :args (@t105)) % 0.37/0.58 (step @p162 :rule cong :premises (@p161) :args (@t106)) % 0.37/0.58 (step @p163 :rule trans :premises (@p162 @p41)) % 0.37/0.58 (step @p164 :rule refl :args (tptp.brelnall1)) % 0.37/0.58 (step @p165 :rule cong :premises (@p164 @p163) :args (@t107)) % 0.37/0.58 (step @p166 :rule cong :premises (@p165) :args ((not @t107))) % 0.37/0.58 (step @p167 :rule refl :args (@t24)) % 0.37/0.58 (step @p168 :rule refl :args (@t18)) % 0.37/0.58 (step @p169 :rule ho_cong :premises (@p4 @p168)) % 0.37/0.58 (step @p170 :rule ho_cong :premises (@p169 @p155)) % 0.37/0.58 (step @p171 :rule ho_cong :premises (@p170 @p153)) % 0.37/0.58 (step @p172 :rule cong :premises (@p171 @p167) :args (@t25)) % 0.37/0.58 (step @p173 :rule cong :premises (@p172) :args (@t27)) % 0.37/0.58 (step @p174 :rule cong :premises (@p164 @p173) :args (@t29)) % 0.37/0.58 (step @p175 :rule cong :premises (@p174) :args (@t30)) % 0.37/0.58 (step @p176 :rule trans :premises (@p175 @p166)) % 0.37/0.58 (step @p177 :rule eq_resolve :premises (@p2 @p176)) % 0.37/0.58 (step @p178 :rule not_implies_elim2 :premises (@p177)) % 0.37/0.58 (step @p179 :rule not_implies_elim1 :premises (@p177)) % 0.37/0.58 (step @p180 :rule cnf_equiv_pos1 :args ((= tptp.brelnall1 @t108))) % 0.37/0.58 (step @p181 :rule chain_resolution :premises (@p180 @p179 @p178) :args ((@list false true) (@list tptp.brelnall1 @t108))) % 0.37/0.58 (step @p182 :rule cong :premises (@p164 @p163) :args ((= tptp.brelnall1 @t106))) % 0.37/0.58 (step @p183 :rule cong :premises (@p164 @p173) :args (@t28)) % 0.37/0.58 (step @p184 :rule trans :premises (@p183 @p182)) % 0.37/0.58 (step @p185 :rule eq_resolve :premises (@p1 @p184)) % 0.37/0.58 (step @p186 false :rule contra :premises (@p185 @p181)) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------