%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU718^2 : 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 : n010.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 08:52:52 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 : SEU718^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 17:48:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.36/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.subsetE Bool) % 0.36/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.powersetE1 Bool) % 0.36/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "Xx" $$unsorted)) % 0.36/0.58 (define @t3 () (_ tptp.in @t2)) % 0.36/0.58 (define @t4 () (_ @t3 @t1)) % 0.36/0.58 (define @t5 () (@var "A" $$unsorted)) % 0.36/0.58 (define @t6 () (_ @t3 @t5)) % 0.36/0.58 (define @t7 () (=> @t6 @t4)) % 0.36/0.58 (define @t8 () (_ (_ tptp.subset @t5) @t1)) % 0.36/0.58 (define @t9 () (@list @t5 @t1 @t2)) % 0.36/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.36/0.58 (define @t11 () (= tptp.subsetE @t10)) % 0.36/0.58 (define @t12 () (_ (_ tptp.subset @t1) @t5)) % 0.36/0.58 (define @t13 () (_ tptp.powerset @t5)) % 0.36/0.58 (define @t14 () (_ tptp.in @t1)) % 0.36/0.58 (define @t15 () (_ @t14 @t13)) % 0.36/0.58 (define @t16 () (@list @t5 @t1)) % 0.36/0.58 (define @t17 () (forall @t16 (=> @t15 @t12))) % 0.36/0.58 (define @t18 () (= tptp.powersetE1 @t17)) % 0.36/0.58 (define @t19 () (@var "Y" $$unsorted)) % 0.36/0.58 (define @t20 () (_ @t3 @t19)) % 0.36/0.58 (define @t21 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t22 () (_ @t3 @t21)) % 0.36/0.58 (define @t23 () (=> @t22 @t20)) % 0.36/0.58 (define @t24 () (_ tptp.powerset @t19)) % 0.36/0.58 (define @t25 () (_ tptp.in @t21)) % 0.36/0.58 (define @t26 () (_ @t25 @t24)) % 0.36/0.58 (define @t27 () (=> @t26 @t23)) % 0.36/0.58 (define @t28 () (@list @t2)) % 0.36/0.58 (define @t29 () (forall @t28 (=> @t6 @t27))) % 0.36/0.58 (define @t30 () (_ tptp.in @t19)) % 0.36/0.58 (define @t31 () (_ @t30 @t13)) % 0.36/0.58 (define @t32 () (=> @t31 @t29)) % 0.36/0.58 (define @t33 () (@list @t19)) % 0.36/0.58 (define @t34 () (forall @t33 @t32)) % 0.36/0.58 (define @t35 () (_ @t25 @t13)) % 0.36/0.58 (define @t36 () (=> @t35 @t34)) % 0.36/0.58 (define @t37 () (@list @t5 @t21)) % 0.36/0.58 (define @t38 () (forall @t37 @t36)) % 0.36/0.58 (define @t39 () (=> tptp.powersetE1 @t38)) % 0.36/0.58 (define @t40 () (=> tptp.subsetE @t39)) % 0.36/0.58 (define @t41 () (not @t40)) % 0.36/0.58 (define @t42 () (@var "BOUND_VARIABLE_7538" $$unsorted)) % 0.36/0.58 (define @t43 () (@var "BOUND_VARIABLE_7540" $$unsorted)) % 0.36/0.58 (define @t44 () (tptp.in @t43 @t42)) % 0.36/0.58 (define @t45 () (not (tptp.in @t43 @t21))) % 0.36/0.58 (define @t46 () (not (tptp.in @t43 @t5))) % 0.36/0.58 (define @t47 () (not (tptp.in @t21 (tptp.powerset @t42)))) % 0.36/0.58 (define @t48 () (tptp.powerset @t5)) % 0.36/0.58 (define @t49 () (not (tptp.in @t42 @t48))) % 0.36/0.58 (define @t50 () (tptp.in @t21 @t48)) % 0.36/0.58 (define @t51 () (not @t50)) % 0.36/0.58 (define @t52 () (or @t51 @t49 @t47 @t46 @t45 @t44)) % 0.36/0.58 (define @t53 () (@list @t5 @t21 @t42 @t43)) % 0.36/0.58 (define @t54 () (forall @t53 @t52)) % 0.36/0.58 (define @t55 () (tptp.subset @t1 @t5)) % 0.36/0.58 (define @t56 () (tptp.in @t1 @t48)) % 0.36/0.58 (define @t57 () (not @t15)) % 0.36/0.58 (define @t58 () (or @t57 @t12)) % 0.36/0.58 (define @t59 () (=> tptp.powersetE1 @t54)) % 0.36/0.58 (define @t60 () (tptp.in @t2 @t1)) % 0.36/0.58 (define @t61 () (tptp.in @t2 @t5)) % 0.36/0.58 (define @t62 () (not @t6)) % 0.36/0.58 (define @t63 () (tptp.subset @t5 @t1)) % 0.36/0.58 (define @t64 () (not @t8)) % 0.36/0.58 (define @t65 () (or @t64 @t62 @t4)) % 0.36/0.58 (define @t66 () (=> tptp.subsetE @t59)) % 0.36/0.58 (define @t67 () (or @t49 @t47 @t46 @t45 @t44)) % 0.36/0.58 (define @t68 () (or @t51 @t67)) % 0.36/0.58 (define @t69 () (forall @t53 @t68)) % 0.36/0.58 (define @t70 () (@list @t42 @t43)) % 0.36/0.58 (define @t71 () (forall @t70 @t68)) % 0.36/0.58 (define @t72 () (forall @t70 @t67)) % 0.36/0.58 (define @t73 () (@var "BOUND_VARIABLE_7515" $$unsorted)) % 0.36/0.58 (define @t74 () (or @t51 @t72)) % 0.36/0.58 (define @t75 () (tptp.in @t73 @t19)) % 0.36/0.58 (define @t76 () (not (tptp.in @t73 @t21))) % 0.36/0.58 (define @t77 () (not (tptp.in @t73 @t5))) % 0.36/0.58 (define @t78 () (tptp.powerset @t19)) % 0.36/0.58 (define @t79 () (tptp.in @t21 @t78)) % 0.36/0.58 (define @t80 () (not @t79)) % 0.36/0.58 (define @t81 () (tptp.in @t19 @t48)) % 0.36/0.58 (define @t82 () (not @t81)) % 0.36/0.58 (define @t83 () (or @t82 @t80 @t77 @t76 @t75)) % 0.36/0.58 (define @t84 () (@list @t19 @t73)) % 0.36/0.58 (define @t85 () (forall @t84 @t83)) % 0.36/0.58 (define @t86 () (not @t35)) % 0.36/0.58 (define @t87 () (or @t86 @t85)) % 0.36/0.58 (define @t88 () (or @t77 @t76 @t75)) % 0.36/0.58 (define @t89 () (or @t82 @t80 @t88)) % 0.36/0.58 (define @t90 () (forall @t84 @t89)) % 0.36/0.58 (define @t91 () (@list @t73)) % 0.36/0.58 (define @t92 () (forall @t91 @t89)) % 0.36/0.58 (define @t93 () (forall @t91 @t88)) % 0.36/0.58 (define @t94 () (or @t82 @t80 @t93)) % 0.36/0.58 (define @t95 () (tptp.in @t2 @t19)) % 0.36/0.58 (define @t96 () (tptp.in @t2 @t21)) % 0.36/0.58 (define @t97 () (not @t61)) % 0.36/0.58 (define @t98 () (forall @t28 (or @t97 (not @t96) @t95))) % 0.36/0.58 (define @t99 () (not @t26)) % 0.36/0.58 (define @t100 () (not @t31)) % 0.36/0.58 (define @t101 () (or @t100 @t99 @t98)) % 0.36/0.58 (define @t102 () (or @t99 @t98)) % 0.36/0.58 (define @t103 () (not @t22)) % 0.36/0.58 (define @t104 () (or @t62 @t103 @t20)) % 0.36/0.58 (define @t105 () (forall @t28 @t104)) % 0.36/0.58 (define @t106 () (or @t99 @t105)) % 0.36/0.58 (define @t107 () (or @t99 @t104)) % 0.36/0.58 (define @t108 () (or @t62 @t99 @t103 @t20)) % 0.36/0.58 (define @t109 () (or @t99 @t103 @t20)) % 0.36/0.58 (define @t110 () (@quantifiers_skolemize @t54 1)) % 0.36/0.58 (define @t111 () (@quantifiers_skolemize @t54 2)) % 0.36/0.58 (define @t112 () (tptp.in @t110 (tptp.powerset @t111))) % 0.36/0.58 (define @t113 () (@quantifiers_skolemize @t54 3)) % 0.36/0.58 (define @t114 () (tptp.in @t113 @t111)) % 0.36/0.58 (define @t115 () (tptp.in @t113 @t110)) % 0.36/0.58 (define @t116 () (not @t115)) % 0.36/0.58 (define @t117 () (@quantifiers_skolemize @t54 0)) % 0.36/0.58 (define @t118 () (not @t112)) % 0.36/0.58 (define @t119 () (tptp.powerset @t117)) % 0.36/0.58 (define @t120 () (or (not (tptp.in @t110 @t119)) (not (tptp.in @t111 @t119)) @t118 (not (tptp.in @t113 @t117)) @t116 @t114)) % 0.36/0.58 (define @t121 () (@list true)) % 0.36/0.58 (define @t122 () (@list @t120)) % 0.36/0.58 (define @t123 () (tptp.subset @t110 @t111)) % 0.36/0.58 (define @t124 () (or @t118 @t123)) % 0.36/0.58 (define @t125 () (not @t123)) % 0.36/0.58 (define @t126 () (or @t125 @t116 @t114)) % 0.36/0.58 (define @t127 () (not @t126)) % 0.36/0.58 (define @t128 () (forall @t9 (or (not @t63) @t97 @t60))) % 0.36/0.58 (assume @p1 @t11) % 0.36/0.58 (assume @p2 @t18) % 0.36/0.58 (assume @p3 @t41) % 0.36/0.58 (assume @p4 true) % 0.36/0.58 (step @p5 :rule refl :args (@t54)) % 0.36/0.58 (step @p6 :rule refl :args (@t55)) % 0.36/0.58 (step @p7 :rule refl :args (@t12)) % 0.36/0.58 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t12 @t55))) % 0.36/0.58 (step @p9 :rule symm :premises (@p8)) % 0.36/0.58 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.36/0.58 (step @p11 :rule refl :args ((tptp.in @t1 @t13))) % 0.36/0.58 (step @p12 :rule refl :args (@t48)) % 0.36/0.58 (step @p13 :rule refl :args (@t1)) % 0.36/0.58 (step @p14 :rule cong :premises (@p13 @p12) :args (@t56)) % 0.36/0.58 (step @p15 :rule trans :premises (@p14 @p11)) % 0.36/0.58 (step @p16 :rule refl :args (@t14)) % 0.36/0.58 (step @p17 :rule ho_cong :premises (@p16 @p12)) % 0.36/0.58 (step @p18 :rule cong :premises (@p17 @p15) :args ((= (_ @t14 @t48) @t56))) % 0.36/0.58 (step @p19 :rule symm :premises (@p18)) % 0.36/0.58 (step @p20 :rule refl :args (@t15)) % 0.36/0.58 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.36/0.58 (step @p22 :rule refl :args (@t13)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22 @p12) :args ((= @t13 @t48))) % 0.36/0.58 (step @p24 :rule symm :premises (@p23)) % 0.36/0.58 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.36/0.58 (step @p26 :rule ho_cong :premises (@p16 @p25)) % 0.36/0.58 (step @p27 :rule trans :premises (@p26 @p21)) % 0.36/0.58 (step @p28 :rule cong :premises (@p27) :args (@t57)) % 0.36/0.58 (step @p29 :rule nary_cong :premises (@p28 @p10) :args (@t58)) % 0.36/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t16 @t58))) % 0.36/0.58 (step @p31 :rule bool-impl-elim :args (@t15 @t12)) % 0.36/0.58 (step @p32 :rule cong :premises (@p31) :args (@t17)) % 0.36/0.58 (step @p33 :rule trans :premises (@p32 @p30)) % 0.36/0.58 (step @p34 :rule refl :args (tptp.powersetE1)) % 0.36/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args (@t18)) % 0.36/0.58 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.36/0.58 (step @p37 :rule cong :premises (@p36 @p5) :args (@t59)) % 0.36/0.58 (step @p38 :rule refl :args (@t60)) % 0.36/0.58 (step @p39 :rule refl :args (@t4)) % 0.36/0.58 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t4 @t60))) % 0.36/0.58 (step @p41 :rule symm :premises (@p40)) % 0.36/0.58 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.36/0.58 (step @p43 :rule refl :args (@t61)) % 0.36/0.58 (step @p44 :rule refl :args (@t6)) % 0.36/0.58 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t6 @t61))) % 0.36/0.58 (step @p46 :rule symm :premises (@p45)) % 0.36/0.58 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.36/0.58 (step @p48 :rule cong :premises (@p47) :args (@t62)) % 0.36/0.58 (step @p49 :rule refl :args (@t63)) % 0.36/0.58 (step @p50 :rule refl :args (@t8)) % 0.36/0.58 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t8 @t63))) % 0.36/0.58 (step @p52 :rule symm :premises (@p51)) % 0.36/0.58 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.36/0.58 (step @p54 :rule cong :premises (@p53) :args (@t64)) % 0.36/0.58 (step @p55 :rule nary_cong :premises (@p54 @p48 @p42) :args (@t65)) % 0.36/0.58 (step @p56 :rule cong :premises (@p55) :args ((forall @t9 @t65))) % 0.36/0.58 (step @p57 :rule aci_norm :args ((= (or @t64 (or @t62 @t4)) @t65))) % 0.36/0.58 (step @p58 :rule bool-impl-elim :args (@t6 @t4)) % 0.36/0.58 (step @p59 :rule refl :args (@t64)) % 0.36/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t64 @t7))) % 0.36/0.58 (step @p61 :rule trans :premises (@p60 @p57)) % 0.36/0.58 (step @p62 :rule bool-impl-elim :args (@t8 @t7)) % 0.36/0.58 (step @p63 :rule trans :premises (@p62 @p61)) % 0.36/0.58 (step @p64 :rule cong :premises (@p63) :args (@t10)) % 0.36/0.58 (step @p65 :rule trans :premises (@p64 @p56)) % 0.36/0.58 (step @p66 :rule refl :args (tptp.subsetE)) % 0.36/0.58 (step @p67 :rule cong :premises (@p66 @p65) :args (@t11)) % 0.36/0.58 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.36/0.58 (step @p69 :rule cong :premises (@p68 @p37) :args (@t66)) % 0.36/0.58 (step @p70 :rule cong :premises (@p69) :args ((not @t66))) % 0.36/0.58 (step @p71 :rule aci_norm :args ((= @t68 @t52))) % 0.36/0.58 (step @p72 :rule cong :premises (@p71) :args (@t69)) % 0.36/0.58 (step @p73 :rule quant-merge-prenex :args ((= (forall @t37 @t71) @t69))) % 0.36/0.58 (step @p74 :rule alpha_equiv :args (@t72 (@list @t42 @t43) (@list @t19 @t73))) % 0.36/0.58 (step @p75 :rule refl :args (@t51)) % 0.36/0.58 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t74)) % 0.36/0.58 (step @p77 :rule quant-miniscope-or :args ((= @t71 @t74))) % 0.36/0.58 (step @p78 :rule trans :premises (@p77 @p76)) % 0.36/0.58 (step @p79 :rule symm :premises (@p78)) % 0.36/0.58 (step @p80 :rule cong :premises (@p79) :args ((forall @t37 (or @t51 @t85)))) % 0.36/0.58 (step @p81 :rule trans :premises (@p80 @p73)) % 0.36/0.58 (step @p82 :rule trans :premises (@p81 @p72)) % 0.36/0.58 (step @p83 :rule refl :args (@t85)) % 0.36/0.58 (step @p84 :rule refl :args ((tptp.in @t21 @t13))) % 0.36/0.58 (step @p85 :rule refl :args (@t21)) % 0.36/0.58 (step @p86 :rule cong :premises (@p85 @p12) :args (@t50)) % 0.36/0.58 (step @p87 :rule trans :premises (@p86 @p84)) % 0.36/0.58 (step @p88 :rule refl :args (@t25)) % 0.36/0.58 (step @p89 :rule ho_cong :premises (@p88 @p12)) % 0.36/0.58 (step @p90 :rule cong :premises (@p89 @p87) :args ((= (_ @t25 @t48) @t50))) % 0.36/0.58 (step @p91 :rule symm :premises (@p90)) % 0.36/0.58 (step @p92 :rule refl :args (@t35)) % 0.36/0.58 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.36/0.58 (step @p94 :rule ho_cong :premises (@p88 @p25)) % 0.36/0.58 (step @p95 :rule trans :premises (@p94 @p93)) % 0.36/0.58 (step @p96 :rule cong :premises (@p95) :args (@t86)) % 0.36/0.58 (step @p97 :rule nary_cong :premises (@p96 @p83) :args (@t87)) % 0.36/0.58 (step @p98 :rule cong :premises (@p97) :args ((forall @t37 @t87))) % 0.36/0.58 (step @p99 :rule trans :premises (@p98 @p82)) % 0.36/0.58 (step @p100 :rule bool-impl-elim :args (@t35 @t85)) % 0.36/0.58 (step @p101 :rule cong :premises (@p100) :args ((forall @t37 (=> @t35 @t85)))) % 0.36/0.58 (step @p102 :rule trans :premises (@p101 @p99)) % 0.36/0.58 (step @p103 :rule aci_norm :args ((= @t89 @t83))) % 0.36/0.58 (step @p104 :rule cong :premises (@p103) :args (@t90)) % 0.36/0.58 (step @p105 :rule quant-merge-prenex :args ((= (forall @t33 @t92) @t90))) % 0.36/0.58 (step @p106 :rule alpha_equiv :args (@t93 (@list @t73) (@list @t2))) % 0.36/0.58 (step @p107 :rule refl :args (@t80)) % 0.36/0.58 (step @p108 :rule refl :args (@t82)) % 0.36/0.58 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args (@t94)) % 0.36/0.58 (step @p110 :rule quant-miniscope-or :args ((= @t92 @t94))) % 0.36/0.58 (step @p111 :rule trans :premises (@p110 @p109)) % 0.36/0.58 (step @p112 :rule symm :premises (@p111)) % 0.36/0.58 (step @p113 :rule cong :premises (@p112) :args ((forall @t33 (or @t82 @t80 @t98)))) % 0.36/0.58 (step @p114 :rule trans :premises (@p113 @p105)) % 0.36/0.58 (step @p115 :rule trans :premises (@p114 @p104)) % 0.36/0.58 (step @p116 :rule refl :args (@t98)) % 0.36/0.58 (step @p117 :rule refl :args ((tptp.in @t21 @t24))) % 0.36/0.58 (step @p118 :rule refl :args (@t78)) % 0.36/0.58 (step @p119 :rule cong :premises (@p85 @p118) :args (@t79)) % 0.36/0.58 (step @p120 :rule trans :premises (@p119 @p117)) % 0.36/0.58 (step @p121 :rule ho_cong :premises (@p88 @p118)) % 0.36/0.58 (step @p122 :rule cong :premises (@p121 @p120) :args ((= (_ @t25 @t78) @t79))) % 0.36/0.58 (step @p123 :rule symm :premises (@p122)) % 0.36/0.58 (step @p124 :rule refl :args (@t26)) % 0.36/0.58 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.36/0.58 (step @p126 :rule refl :args (@t24)) % 0.36/0.58 (step @p127 :rule cong :premises (@p126 @p118) :args ((= @t24 @t78))) % 0.36/0.58 (step @p128 :rule symm :premises (@p127)) % 0.36/0.58 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.36/0.58 (step @p130 :rule ho_cong :premises (@p88 @p129)) % 0.36/0.58 (step @p131 :rule trans :premises (@p130 @p125)) % 0.36/0.58 (step @p132 :rule cong :premises (@p131) :args (@t99)) % 0.36/0.58 (step @p133 :rule refl :args ((tptp.in @t19 @t13))) % 0.36/0.58 (step @p134 :rule refl :args (@t19)) % 0.36/0.58 (step @p135 :rule cong :premises (@p134 @p12) :args (@t81)) % 0.36/0.58 (step @p136 :rule trans :premises (@p135 @p133)) % 0.36/0.58 (step @p137 :rule refl :args (@t30)) % 0.36/0.58 (step @p138 :rule ho_cong :premises (@p137 @p12)) % 0.36/0.58 (step @p139 :rule cong :premises (@p138 @p136) :args ((= (_ @t30 @t48) @t81))) % 0.36/0.58 (step @p140 :rule symm :premises (@p139)) % 0.36/0.58 (step @p141 :rule refl :args (@t31)) % 0.36/0.58 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.36/0.58 (step @p143 :rule ho_cong :premises (@p137 @p25)) % 0.36/0.58 (step @p144 :rule trans :premises (@p143 @p142)) % 0.36/0.58 (step @p145 :rule cong :premises (@p144) :args (@t100)) % 0.36/0.58 (step @p146 :rule nary_cong :premises (@p145 @p132 @p116) :args (@t101)) % 0.36/0.58 (step @p147 :rule cong :premises (@p146) :args ((forall @t33 @t101))) % 0.36/0.58 (step @p148 :rule trans :premises (@p147 @p115)) % 0.36/0.58 (step @p149 :rule aci_norm :args ((= (or @t100 @t102) @t101))) % 0.36/0.58 (step @p150 :rule bool-impl-elim :args (@t31 @t102)) % 0.36/0.58 (step @p151 :rule trans :premises (@p150 @p149)) % 0.36/0.58 (step @p152 :rule cong :premises (@p151) :args ((forall @t33 (=> @t31 @t102)))) % 0.36/0.58 (step @p153 :rule trans :premises (@p152 @p148)) % 0.36/0.58 (step @p154 :rule refl :args (@t95)) % 0.36/0.58 (step @p155 :rule refl :args (@t20)) % 0.36/0.58 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t20 @t95))) % 0.36/0.58 (step @p157 :rule symm :premises (@p156)) % 0.36/0.58 (step @p158 :rule eq_resolve :premises (@p155 @p157)) % 0.36/0.58 (step @p159 :rule refl :args (@t96)) % 0.36/0.58 (step @p160 :rule refl :args (@t22)) % 0.36/0.58 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t22 @t96))) % 0.36/0.58 (step @p162 :rule symm :premises (@p161)) % 0.36/0.58 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.36/0.58 (step @p164 :rule cong :premises (@p163) :args (@t103)) % 0.36/0.58 (step @p165 :rule nary_cong :premises (@p48 @p164 @p158) :args (@t104)) % 0.36/0.58 (step @p166 :rule cong :premises (@p165) :args (@t105)) % 0.36/0.58 (step @p167 :rule refl :args (@t99)) % 0.36/0.58 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t106)) % 0.36/0.58 (step @p169 :rule quant-miniscope-or :args ((= (forall @t28 @t107) @t106))) % 0.36/0.58 (step @p170 :rule aci_norm :args ((= @t108 @t107))) % 0.36/0.58 (step @p171 :rule cong :premises (@p170) :args ((forall @t28 @t108))) % 0.36/0.58 (step @p172 :rule trans :premises (@p171 @p169)) % 0.36/0.58 (step @p173 :rule trans :premises (@p172 @p168)) % 0.36/0.58 (step @p174 :rule aci_norm :args ((= (or @t62 @t109) @t108))) % 0.36/0.58 (step @p175 :rule aci_norm :args ((= (or @t99 (or @t103 @t20)) @t109))) % 0.36/0.58 (step @p176 :rule bool-impl-elim :args (@t22 @t20)) % 0.36/0.58 (step @p177 :rule refl :args (@t99)) % 0.36/0.58 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t99 @t23))) % 0.36/0.58 (step @p179 :rule trans :premises (@p178 @p175)) % 0.36/0.58 (step @p180 :rule bool-impl-elim :args (@t26 @t23)) % 0.36/0.58 (step @p181 :rule trans :premises (@p180 @p179)) % 0.36/0.58 (step @p182 :rule refl :args (@t62)) % 0.36/0.58 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t62 @t27))) % 0.36/0.58 (step @p184 :rule trans :premises (@p183 @p174)) % 0.36/0.58 (step @p185 :rule bool-impl-elim :args (@t6 @t27)) % 0.36/0.58 (step @p186 :rule trans :premises (@p185 @p184)) % 0.36/0.58 (step @p187 :rule cong :premises (@p186) :args (@t29)) % 0.36/0.58 (step @p188 :rule trans :premises (@p187 @p173)) % 0.36/0.58 (step @p189 :rule refl :args (@t31)) % 0.36/0.58 (step @p190 :rule cong :premises (@p189 @p188) :args (@t32)) % 0.36/0.58 (step @p191 :rule cong :premises (@p190) :args (@t34)) % 0.36/0.58 (step @p192 :rule trans :premises (@p191 @p153)) % 0.36/0.58 (step @p193 :rule refl :args (@t35)) % 0.36/0.58 (step @p194 :rule cong :premises (@p193 @p192) :args (@t36)) % 0.36/0.58 (step @p195 :rule cong :premises (@p194) :args (@t38)) % 0.36/0.58 (step @p196 :rule trans :premises (@p195 @p102)) % 0.36/0.58 (step @p197 :rule cong :premises (@p34 @p196) :args (@t39)) % 0.36/0.58 (step @p198 :rule cong :premises (@p66 @p197) :args (@t40)) % 0.36/0.58 (step @p199 :rule cong :premises (@p198) :args (@t41)) % 0.36/0.58 (step @p200 :rule trans :premises (@p199 @p70)) % 0.36/0.58 (step @p201 :rule eq_resolve :premises (@p3 @p200)) % 0.36/0.58 (step @p202 :rule not_implies_elim1 :premises (@p201)) % 0.36/0.58 (step @p203 :rule not_implies_elim2 :premises (@p201)) % 0.36/0.58 (step @p204 :rule not_implies_elim1 :premises (@p203)) % 0.36/0.58 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t111 @t110))) % 0.36/0.58 (step @p206 :rule not_implies_elim2 :premises (@p203)) % 0.36/0.58 (step @p207 :rule skolemize :premises (@p206)) % 0.36/0.58 (step @p208 :rule bool-double-not-elim :args (@t112)) % 0.36/0.58 (step @p209 :rule refl :args (@t120)) % 0.36/0.58 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t120 (not @t118)))) % 0.36/0.58 (step @p211 :rule cnf_or_neg :args (@t120 2)) % 0.36/0.58 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.36/0.58 (step @p213 :rule reordering :premises (@p212) :args ((or @t112 @t120))) % 0.36/0.58 (step @p214 :rule chain_m_resolution :premises (@p213 @p207) :args (@t112 @t121 @t122)) % 0.36/0.58 (step @p215 :rule cnf_or_pos :args (@t124)) % 0.36/0.58 (step @p216 :rule reordering :premises (@p215) :args ((or @t118 @t123 (not @t124)))) % 0.36/0.58 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p205) :args (@t123 (@list false false) (@list @t112 @t124))) % 0.36/0.58 (step @p218 :rule cnf_or_neg :args (@t120 5)) % 0.36/0.58 (step @p219 :rule chain_m_resolution :premises (@p218 @p207) :args ((not @t114) @t121 @t122)) % 0.36/0.58 (step @p220 :rule bool-double-not-elim :args (@t115)) % 0.36/0.58 (step @p221 :rule nary_cong :premises (@p209 @p220) :args ((or @t120 (not @t116)))) % 0.36/0.58 (step @p222 :rule cnf_or_neg :args (@t120 4)) % 0.36/0.58 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 0.36/0.58 (step @p224 :rule reordering :premises (@p223) :args ((or @t115 @t120))) % 0.36/0.58 (step @p225 :rule chain_m_resolution :premises (@p224 @p207) :args (@t115 @t121 @t122)) % 0.36/0.58 (step @p226 :rule cnf_or_pos :args (@t126)) % 0.36/0.58 (step @p227 :rule reordering :premises (@p226) :args ((or @t116 @t114 @t125 @t127))) % 0.36/0.58 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p219 @p217) :args (@t127 (@list false true false) (@list @t115 @t114 @t123))) % 0.36/0.58 (assume-push @p235 @t128) % 0.36/0.58 (step @p230 :rule instantiate :premises (@p202) :args ((@list @t110 @t111 @t113))) % 0.36/0.58 (step-pop @p236 :rule scope :premises (@p230)) % 0.36/0.58 (step @p231 :rule process_scope :premises (@p236) :args (@t126)) % 0.36/0.58 (step @p233 :rule implies_elim :premises (@p231)) % 0.36/0.58 (step @p234 false :rule chain_m_resolution :premises (@p233 @p228 @p202) :args (false (@list true false) (@list @t126 @t128))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------