%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU786^2 : 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 : n024.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 08:53:12 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU786^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 12:51:30 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.binunionE Bool) % 0.16/0.37 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.37 (define @t2 () (@var "Xx" $$unsorted)) % 0.16/0.37 (define @t3 () (_ tptp.in @t2)) % 0.16/0.37 (define @t4 () (_ @t3 @t1)) % 0.16/0.37 (define @t5 () (@var "A" $$unsorted)) % 0.16/0.37 (define @t6 () (_ @t3 @t5)) % 0.16/0.37 (define @t7 () (or @t6 @t4)) % 0.16/0.37 (define @t8 () (_ (_ tptp.binunion @t5) @t1)) % 0.16/0.37 (define @t9 () (_ @t3 @t8)) % 0.16/0.37 (define @t10 () (@list @t5 @t1 @t2)) % 0.16/0.37 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.16/0.37 (define @t12 () (= tptp.binunionE @t11)) % 0.16/0.37 (define @t13 () (@var "S" $$unsorted)) % 0.16/0.37 (define @t14 () (@var "Xy" $$unsorted)) % 0.16/0.37 (define @t15 () (_ (_ tptp.kpair @t2) @t14)) % 0.16/0.37 (define @t16 () (_ tptp.in @t15)) % 0.16/0.37 (define @t17 () (_ @t16 @t13)) % 0.16/0.37 (define @t18 () (@var "R" $$unsorted)) % 0.16/0.37 (define @t19 () (_ @t16 @t18)) % 0.16/0.37 (define @t20 () (or @t19 @t17)) % 0.16/0.37 (define @t21 () (_ (_ tptp.binunion @t18) @t13)) % 0.16/0.37 (define @t22 () (_ @t16 @t21)) % 0.16/0.37 (define @t23 () (=> @t22 @t20)) % 0.16/0.37 (define @t24 () (_ (_ tptp.in @t14) @t5)) % 0.16/0.37 (define @t25 () (@list @t14)) % 0.16/0.37 (define @t26 () (forall @t25 (=> @t24 @t23))) % 0.16/0.37 (define @t27 () (=> @t6 @t26)) % 0.16/0.37 (define @t28 () (@list @t2)) % 0.16/0.37 (define @t29 () (forall @t28 @t27)) % 0.16/0.37 (define @t30 () (_ tptp.breln1 @t5)) % 0.16/0.37 (define @t31 () (_ @t30 @t13)) % 0.16/0.37 (define @t32 () (=> @t31 @t29)) % 0.16/0.37 (define @t33 () (@list @t13)) % 0.16/0.37 (define @t34 () (forall @t33 @t32)) % 0.16/0.37 (define @t35 () (_ @t30 @t18)) % 0.16/0.37 (define @t36 () (=> @t35 @t34)) % 0.16/0.37 (define @t37 () (@list @t5 @t18)) % 0.16/0.37 (define @t38 () (forall @t37 @t36)) % 0.16/0.37 (define @t39 () (=> tptp.binunionE @t38)) % 0.16/0.37 (define @t40 () (not @t39)) % 0.16/0.37 (define @t41 () (@var "BOUND_VARIABLE_7553" $$unsorted)) % 0.16/0.37 (define @t42 () (@var "BOUND_VARIABLE_7557" $$unsorted)) % 0.16/0.37 (define @t43 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 0.16/0.37 (define @t44 () (tptp.kpair @t43 @t42)) % 0.16/0.37 (define @t45 () (tptp.in @t44 @t41)) % 0.16/0.37 (define @t46 () (tptp.in @t44 @t18)) % 0.16/0.37 (define @t47 () (not (tptp.in @t44 (tptp.binunion @t18 @t41)))) % 0.16/0.37 (define @t48 () (not (tptp.in @t42 @t5))) % 0.16/0.37 (define @t49 () (not (tptp.in @t43 @t5))) % 0.16/0.37 (define @t50 () (not (tptp.breln1 @t5 @t41))) % 0.16/0.37 (define @t51 () (tptp.breln1 @t5 @t18)) % 0.16/0.37 (define @t52 () (not @t51)) % 0.16/0.37 (define @t53 () (or @t52 @t50 @t49 @t48 @t47 @t46 @t45)) % 0.16/0.37 (define @t54 () (@list @t5 @t18 @t41 @t43 @t42)) % 0.16/0.37 (define @t55 () (forall @t54 @t53)) % 0.16/0.37 (define @t56 () (tptp.in @t2 @t1)) % 0.16/0.37 (define @t57 () (tptp.in @t2 @t5)) % 0.16/0.37 (define @t58 () (tptp.binunion @t5 @t1)) % 0.16/0.37 (define @t59 () (tptp.in @t2 @t58)) % 0.16/0.37 (define @t60 () (not @t9)) % 0.16/0.37 (define @t61 () (or @t60 @t6 @t4)) % 0.16/0.37 (define @t62 () (=> tptp.binunionE @t55)) % 0.16/0.37 (define @t63 () (or @t50 @t49 @t48 @t47 @t46 @t45)) % 0.16/0.37 (define @t64 () (or @t52 @t63)) % 0.16/0.37 (define @t65 () (forall @t54 @t64)) % 0.16/0.37 (define @t66 () (@list @t41 @t43 @t42)) % 0.16/0.37 (define @t67 () (forall @t66 @t64)) % 0.16/0.37 (define @t68 () (forall @t66 @t63)) % 0.16/0.37 (define @t69 () (@var "BOUND_VARIABLE_7527" $$unsorted)) % 0.16/0.37 (define @t70 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.16/0.37 (define @t71 () (or @t52 @t68)) % 0.16/0.37 (define @t72 () (tptp.kpair @t70 @t69)) % 0.16/0.37 (define @t73 () (tptp.in @t72 @t13)) % 0.16/0.37 (define @t74 () (tptp.in @t72 @t18)) % 0.16/0.37 (define @t75 () (tptp.binunion @t18 @t13)) % 0.16/0.37 (define @t76 () (not (tptp.in @t72 @t75))) % 0.16/0.37 (define @t77 () (not (tptp.in @t69 @t5))) % 0.16/0.37 (define @t78 () (not (tptp.in @t70 @t5))) % 0.16/0.37 (define @t79 () (tptp.breln1 @t5 @t13)) % 0.16/0.37 (define @t80 () (not @t79)) % 0.16/0.37 (define @t81 () (or @t80 @t78 @t77 @t76 @t74 @t73)) % 0.16/0.37 (define @t82 () (@list @t13 @t70 @t69)) % 0.16/0.37 (define @t83 () (forall @t82 @t81)) % 0.16/0.37 (define @t84 () (not @t35)) % 0.16/0.37 (define @t85 () (or @t84 @t83)) % 0.16/0.37 (define @t86 () (or @t78 @t77 @t76 @t74 @t73)) % 0.16/0.37 (define @t87 () (or @t80 @t86)) % 0.16/0.37 (define @t88 () (forall @t82 @t87)) % 0.16/0.37 (define @t89 () (@list @t70 @t69)) % 0.16/0.37 (define @t90 () (forall @t89 @t87)) % 0.16/0.37 (define @t91 () (forall @t89 @t86)) % 0.16/0.37 (define @t92 () (@var "BOUND_VARIABLE_7501" $$unsorted)) % 0.16/0.37 (define @t93 () (or @t80 @t91)) % 0.16/0.37 (define @t94 () (tptp.kpair @t2 @t92)) % 0.16/0.37 (define @t95 () (tptp.in @t94 @t13)) % 0.16/0.37 (define @t96 () (tptp.in @t94 @t18)) % 0.16/0.37 (define @t97 () (not (tptp.in @t94 @t75))) % 0.16/0.37 (define @t98 () (not (tptp.in @t92 @t5))) % 0.16/0.37 (define @t99 () (not @t57)) % 0.16/0.37 (define @t100 () (or @t99 @t98 @t97 @t96 @t95)) % 0.16/0.37 (define @t101 () (@list @t2 @t92)) % 0.16/0.37 (define @t102 () (forall @t101 @t100)) % 0.16/0.37 (define @t103 () (not @t31)) % 0.16/0.37 (define @t104 () (or @t103 @t102)) % 0.16/0.37 (define @t105 () (or @t98 @t97 @t96 @t95)) % 0.16/0.37 (define @t106 () (or @t99 @t105)) % 0.16/0.37 (define @t107 () (forall @t101 @t106)) % 0.16/0.37 (define @t108 () (@list @t92)) % 0.16/0.37 (define @t109 () (forall @t108 @t106)) % 0.16/0.37 (define @t110 () (forall @t108 @t105)) % 0.16/0.37 (define @t111 () (or @t99 @t110)) % 0.16/0.37 (define @t112 () (tptp.kpair @t2 @t14)) % 0.16/0.37 (define @t113 () (tptp.in @t112 @t13)) % 0.16/0.37 (define @t114 () (tptp.in @t112 @t18)) % 0.16/0.37 (define @t115 () (tptp.in @t112 @t75)) % 0.16/0.37 (define @t116 () (tptp.in @t14 @t5)) % 0.16/0.37 (define @t117 () (forall @t25 (or (not @t116) (not @t115) @t114 @t113))) % 0.16/0.37 (define @t118 () (not @t6)) % 0.16/0.37 (define @t119 () (or @t118 @t117)) % 0.16/0.37 (define @t120 () (_ tptp.in @t112)) % 0.16/0.37 (define @t121 () (not @t22)) % 0.16/0.37 (define @t122 () (not @t24)) % 0.16/0.37 (define @t123 () (or @t122 @t121 @t19 @t17)) % 0.16/0.37 (define @t124 () (or @t121 @t19 @t17)) % 0.16/0.37 (define @t125 () (@quantifiers_skolemize @t55 2)) % 0.16/0.37 (define @t126 () (@quantifiers_skolemize @t55 4)) % 0.16/0.37 (define @t127 () (@quantifiers_skolemize @t55 3)) % 0.16/0.37 (define @t128 () (tptp.kpair @t127 @t126)) % 0.16/0.37 (define @t129 () (tptp.in @t128 @t125)) % 0.16/0.37 (define @t130 () (@quantifiers_skolemize @t55 1)) % 0.16/0.37 (define @t131 () (tptp.in @t128 @t130)) % 0.16/0.37 (define @t132 () (tptp.in @t128 (tptp.binunion @t130 @t125))) % 0.16/0.37 (define @t133 () (not @t132)) % 0.16/0.37 (define @t134 () (@quantifiers_skolemize @t55 0)) % 0.16/0.37 (define @t135 () (or (not (tptp.breln1 @t134 @t130)) (not (tptp.breln1 @t134 @t125)) (not (tptp.in @t127 @t134)) (not (tptp.in @t126 @t134)) @t133 @t131 @t129)) % 0.16/0.37 (define @t136 () (@list true)) % 0.16/0.37 (define @t137 () (@list @t135)) % 0.16/0.37 (define @t138 () (or @t133 @t131 @t129)) % 0.16/0.37 (define @t139 () (not @t138)) % 0.16/0.37 (define @t140 () (forall @t10 (or (not @t59) @t57 @t56))) % 0.16/0.37 (assume @p1 @t12) % 0.16/0.37 (assume @p2 @t40) % 0.16/0.37 (assume @p3 true) % 0.16/0.37 (step @p4 :rule refl :args (@t55)) % 0.16/0.37 (step @p5 :rule refl :args (@t56)) % 0.16/0.37 (step @p6 :rule refl :args (@t4)) % 0.16/0.37 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t56))) % 0.16/0.37 (step @p8 :rule symm :premises (@p7)) % 0.16/0.37 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.16/0.37 (step @p10 :rule refl :args (@t57)) % 0.16/0.37 (step @p11 :rule refl :args (@t6)) % 0.16/0.37 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t57))) % 0.16/0.37 (step @p13 :rule symm :premises (@p12)) % 0.16/0.37 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.16/0.37 (step @p15 :rule refl :args ((tptp.in @t2 @t8))) % 0.16/0.37 (step @p16 :rule refl :args (@t58)) % 0.16/0.37 (step @p17 :rule refl :args (@t2)) % 0.16/0.37 (step @p18 :rule cong :premises (@p17 @p16) :args (@t59)) % 0.16/0.37 (step @p19 :rule trans :premises (@p18 @p15)) % 0.16/0.37 (step @p20 :rule refl :args (@t3)) % 0.16/0.37 (step @p21 :rule ho_cong :premises (@p20 @p16)) % 0.16/0.37 (step @p22 :rule cong :premises (@p21 @p19) :args ((= (_ @t3 @t58) @t59))) % 0.16/0.37 (step @p23 :rule symm :premises (@p22)) % 0.16/0.37 (step @p24 :rule refl :args (@t9)) % 0.16/0.37 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.16/0.37 (step @p26 :rule refl :args (@t8)) % 0.16/0.37 (step @p27 :rule cong :premises (@p26 @p16) :args ((= @t8 @t58))) % 0.16/0.37 (step @p28 :rule symm :premises (@p27)) % 0.16/0.37 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.16/0.37 (step @p30 :rule ho_cong :premises (@p20 @p29)) % 0.16/0.37 (step @p31 :rule trans :premises (@p30 @p25)) % 0.16/0.37 (step @p32 :rule cong :premises (@p31) :args (@t60)) % 0.16/0.37 (step @p33 :rule nary_cong :premises (@p32 @p14 @p9) :args (@t61)) % 0.16/0.37 (step @p34 :rule cong :premises (@p33) :args ((forall @t10 @t61))) % 0.16/0.37 (step @p35 :rule aci_norm :args ((= (or @t60 @t7) @t61))) % 0.16/0.37 (step @p36 :rule bool-impl-elim :args (@t9 @t7)) % 0.16/0.37 (step @p37 :rule trans :premises (@p36 @p35)) % 0.16/0.37 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 0.16/0.37 (step @p39 :rule trans :premises (@p38 @p34)) % 0.16/0.37 (step @p40 :rule refl :args (tptp.binunionE)) % 0.16/0.37 (step @p41 :rule cong :premises (@p40 @p39) :args (@t12)) % 0.16/0.37 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.16/0.37 (step @p43 :rule cong :premises (@p42 @p4) :args (@t62)) % 0.16/0.37 (step @p44 :rule cong :premises (@p43) :args ((not @t62))) % 0.16/0.37 (step @p45 :rule aci_norm :args ((= @t64 @t53))) % 0.16/0.37 (step @p46 :rule cong :premises (@p45) :args (@t65)) % 0.16/0.37 (step @p47 :rule quant-merge-prenex :args ((= (forall @t37 @t67) @t65))) % 0.16/0.37 (step @p48 :rule alpha_equiv :args (@t68 (@list @t41 @t43 @t42) (@list @t13 @t70 @t69))) % 0.16/0.37 (step @p49 :rule refl :args (@t52)) % 0.16/0.37 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t71)) % 0.16/0.37 (step @p51 :rule quant-miniscope-or :args ((= @t67 @t71))) % 0.16/0.37 (step @p52 :rule trans :premises (@p51 @p50)) % 0.16/0.37 (step @p53 :rule symm :premises (@p52)) % 0.16/0.37 (step @p54 :rule cong :premises (@p53) :args ((forall @t37 (or @t52 @t83)))) % 0.16/0.37 (step @p55 :rule trans :premises (@p54 @p47)) % 0.16/0.37 (step @p56 :rule trans :premises (@p55 @p46)) % 0.16/0.37 (step @p57 :rule refl :args (@t83)) % 0.16/0.37 (step @p58 :rule refl :args (@t51)) % 0.16/0.37 (step @p59 :rule refl :args (@t35)) % 0.16/0.37 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t35 @t51))) % 0.16/0.37 (step @p61 :rule symm :premises (@p60)) % 0.16/0.37 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.16/0.37 (step @p63 :rule cong :premises (@p62) :args (@t84)) % 0.16/0.37 (step @p64 :rule nary_cong :premises (@p63 @p57) :args (@t85)) % 0.16/0.37 (step @p65 :rule cong :premises (@p64) :args ((forall @t37 @t85))) % 0.16/0.37 (step @p66 :rule trans :premises (@p65 @p56)) % 0.16/0.37 (step @p67 :rule bool-impl-elim :args (@t35 @t83)) % 0.16/0.37 (step @p68 :rule cong :premises (@p67) :args ((forall @t37 (=> @t35 @t83)))) % 0.16/0.37 (step @p69 :rule trans :premises (@p68 @p66)) % 0.16/0.37 (step @p70 :rule aci_norm :args ((= @t87 @t81))) % 0.16/0.37 (step @p71 :rule cong :premises (@p70) :args (@t88)) % 0.16/0.37 (step @p72 :rule quant-merge-prenex :args ((= (forall @t33 @t90) @t88))) % 0.16/0.37 (step @p73 :rule alpha_equiv :args (@t91 (@list @t70 @t69) (@list @t2 @t92))) % 0.16/0.37 (step @p74 :rule refl :args (@t80)) % 0.16/0.37 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t93)) % 0.16/0.37 (step @p76 :rule quant-miniscope-or :args ((= @t90 @t93))) % 0.16/0.37 (step @p77 :rule trans :premises (@p76 @p75)) % 0.16/0.37 (step @p78 :rule symm :premises (@p77)) % 0.16/0.37 (step @p79 :rule cong :premises (@p78) :args ((forall @t33 (or @t80 @t102)))) % 0.16/0.37 (step @p80 :rule trans :premises (@p79 @p72)) % 0.16/0.37 (step @p81 :rule trans :premises (@p80 @p71)) % 0.16/0.37 (step @p82 :rule refl :args (@t102)) % 0.16/0.37 (step @p83 :rule refl :args (@t79)) % 0.16/0.37 (step @p84 :rule refl :args (@t31)) % 0.16/0.37 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t31 @t79))) % 0.16/0.37 (step @p86 :rule symm :premises (@p85)) % 0.16/0.37 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.16/0.37 (step @p88 :rule cong :premises (@p87) :args (@t103)) % 0.16/0.37 (step @p89 :rule nary_cong :premises (@p88 @p82) :args (@t104)) % 0.16/0.37 (step @p90 :rule cong :premises (@p89) :args ((forall @t33 @t104))) % 0.16/0.37 (step @p91 :rule trans :premises (@p90 @p81)) % 0.16/0.37 (step @p92 :rule bool-impl-elim :args (@t31 @t102)) % 0.16/0.37 (step @p93 :rule cong :premises (@p92) :args ((forall @t33 (=> @t31 @t102)))) % 0.16/0.37 (step @p94 :rule trans :premises (@p93 @p91)) % 0.16/0.37 (step @p95 :rule aci_norm :args ((= @t106 @t100))) % 0.16/0.37 (step @p96 :rule cong :premises (@p95) :args (@t107)) % 0.16/0.37 (step @p97 :rule quant-merge-prenex :args ((= (forall @t28 @t109) @t107))) % 0.16/0.37 (step @p98 :rule alpha_equiv :args (@t110 (@list @t92) (@list @t14))) % 0.16/0.37 (step @p99 :rule refl :args (@t99)) % 0.16/0.37 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t111)) % 0.16/0.37 (step @p101 :rule quant-miniscope-or :args ((= @t109 @t111))) % 0.16/0.37 (step @p102 :rule trans :premises (@p101 @p100)) % 0.16/0.37 (step @p103 :rule symm :premises (@p102)) % 0.16/0.37 (step @p104 :rule cong :premises (@p103) :args ((forall @t28 (or @t99 @t117)))) % 0.16/0.37 (step @p105 :rule trans :premises (@p104 @p97)) % 0.16/0.37 (step @p106 :rule trans :premises (@p105 @p96)) % 0.16/0.37 (step @p107 :rule refl :args (@t117)) % 0.16/0.37 (step @p108 :rule cong :premises (@p14) :args (@t118)) % 0.16/0.37 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t119)) % 0.16/0.37 (step @p110 :rule cong :premises (@p109) :args ((forall @t28 @t119))) % 0.16/0.37 (step @p111 :rule trans :premises (@p110 @p106)) % 0.16/0.37 (step @p112 :rule bool-impl-elim :args (@t6 @t117)) % 0.16/0.37 (step @p113 :rule cong :premises (@p112) :args ((forall @t28 (=> @t6 @t117)))) % 0.16/0.37 (step @p114 :rule trans :premises (@p113 @p111)) % 0.16/0.37 (step @p115 :rule refl :args ((tptp.in @t15 @t13))) % 0.16/0.37 (step @p116 :rule refl :args (@t13)) % 0.16/0.37 (step @p117 :rule refl :args (@t112)) % 0.16/0.37 (step @p118 :rule cong :premises (@p117 @p116) :args (@t113)) % 0.16/0.37 (step @p119 :rule trans :premises (@p118 @p115)) % 0.16/0.37 (step @p120 :rule refl :args (tptp.in)) % 0.16/0.37 (step @p121 :rule ho_cong :premises (@p120 @p117)) % 0.16/0.37 (step @p122 :rule ho_cong :premises (@p121 @p116)) % 0.16/0.37 (step @p123 :rule cong :premises (@p122 @p119) :args ((= (_ @t120 @t13) @t113))) % 0.16/0.37 (step @p124 :rule symm :premises (@p123)) % 0.16/0.37 (step @p125 :rule refl :args (@t17)) % 0.16/0.37 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.16/0.37 (step @p127 :rule refl :args (@t15)) % 0.16/0.37 (step @p128 :rule cong :premises (@p127 @p117) :args ((= @t15 @t112))) % 0.16/0.37 (step @p129 :rule symm :premises (@p128)) % 0.16/0.37 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 0.16/0.37 (step @p131 :rule ho_cong :premises (@p120 @p130)) % 0.16/0.37 (step @p132 :rule ho_cong :premises (@p131 @p116)) % 0.16/0.37 (step @p133 :rule trans :premises (@p132 @p126)) % 0.16/0.37 (step @p134 :rule refl :args ((tptp.in @t15 @t18))) % 0.16/0.37 (step @p135 :rule refl :args (@t18)) % 0.16/0.37 (step @p136 :rule cong :premises (@p117 @p135) :args (@t114)) % 0.16/0.37 (step @p137 :rule trans :premises (@p136 @p134)) % 0.16/0.37 (step @p138 :rule ho_cong :premises (@p121 @p135)) % 0.16/0.37 (step @p139 :rule cong :premises (@p138 @p137) :args ((= (_ @t120 @t18) @t114))) % 0.16/0.37 (step @p140 :rule symm :premises (@p139)) % 0.16/0.37 (step @p141 :rule refl :args (@t19)) % 0.16/0.37 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.16/0.37 (step @p143 :rule ho_cong :premises (@p131 @p135)) % 0.16/0.37 (step @p144 :rule trans :premises (@p143 @p142)) % 0.16/0.37 (step @p145 :rule refl :args ((tptp.in @t15 @t21))) % 0.16/0.37 (step @p146 :rule refl :args (@t75)) % 0.16/0.37 (step @p147 :rule cong :premises (@p117 @p146) :args (@t115)) % 0.16/0.37 (step @p148 :rule trans :premises (@p147 @p145)) % 0.16/0.37 (step @p149 :rule ho_cong :premises (@p121 @p146)) % 0.16/0.37 (step @p150 :rule cong :premises (@p149 @p148) :args ((= (_ @t120 @t75) @t115))) % 0.16/0.37 (step @p151 :rule symm :premises (@p150)) % 0.16/0.37 (step @p152 :rule refl :args (@t22)) % 0.16/0.37 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.16/0.37 (step @p154 :rule refl :args (@t21)) % 0.16/0.37 (step @p155 :rule cong :premises (@p154 @p146) :args ((= @t21 @t75))) % 0.16/0.37 (step @p156 :rule symm :premises (@p155)) % 0.16/0.37 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 0.16/0.37 (step @p158 :rule ho_cong :premises (@p131 @p157)) % 0.16/0.37 (step @p159 :rule trans :premises (@p158 @p153)) % 0.16/0.37 (step @p160 :rule cong :premises (@p159) :args (@t121)) % 0.16/0.37 (step @p161 :rule refl :args (@t116)) % 0.16/0.37 (step @p162 :rule refl :args (@t24)) % 0.16/0.37 (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t24 @t116))) % 0.16/0.37 (step @p164 :rule symm :premises (@p163)) % 0.16/0.37 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 0.16/0.37 (step @p166 :rule cong :premises (@p165) :args (@t122)) % 0.16/0.37 (step @p167 :rule nary_cong :premises (@p166 @p160 @p144 @p133) :args (@t123)) % 0.16/0.37 (step @p168 :rule cong :premises (@p167) :args ((forall @t25 @t123))) % 0.16/0.37 (step @p169 :rule aci_norm :args ((= (or @t122 @t124) @t123))) % 0.16/0.37 (step @p170 :rule aci_norm :args ((= (or @t121 @t20) @t124))) % 0.16/0.37 (step @p171 :rule bool-impl-elim :args (@t22 @t20)) % 0.16/0.37 (step @p172 :rule trans :premises (@p171 @p170)) % 0.16/0.37 (step @p173 :rule refl :args (@t122)) % 0.16/0.37 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t122 @t23))) % 0.16/0.37 (step @p175 :rule trans :premises (@p174 @p169)) % 0.16/0.37 (step @p176 :rule bool-impl-elim :args (@t24 @t23)) % 0.16/0.37 (step @p177 :rule trans :premises (@p176 @p175)) % 0.16/0.37 (step @p178 :rule cong :premises (@p177) :args (@t26)) % 0.16/0.37 (step @p179 :rule trans :premises (@p178 @p168)) % 0.16/0.37 (step @p180 :rule refl :args (@t6)) % 0.16/0.37 (step @p181 :rule cong :premises (@p180 @p179) :args (@t27)) % 0.16/0.37 (step @p182 :rule cong :premises (@p181) :args (@t29)) % 0.16/0.37 (step @p183 :rule trans :premises (@p182 @p114)) % 0.16/0.37 (step @p184 :rule refl :args (@t31)) % 0.16/0.37 (step @p185 :rule cong :premises (@p184 @p183) :args (@t32)) % 0.16/0.37 (step @p186 :rule cong :premises (@p185) :args (@t34)) % 0.16/0.37 (step @p187 :rule trans :premises (@p186 @p94)) % 0.16/0.37 (step @p188 :rule refl :args (@t35)) % 0.16/0.37 (step @p189 :rule cong :premises (@p188 @p187) :args (@t36)) % 0.16/0.37 (step @p190 :rule cong :premises (@p189) :args (@t38)) % 0.16/0.37 (step @p191 :rule trans :premises (@p190 @p69)) % 0.16/0.37 (step @p192 :rule cong :premises (@p40 @p191) :args (@t39)) % 0.16/0.37 (step @p193 :rule cong :premises (@p192) :args (@t40)) % 0.16/0.37 (step @p194 :rule trans :premises (@p193 @p44)) % 0.16/0.37 (step @p195 :rule eq_resolve :premises (@p2 @p194)) % 0.16/0.37 (step @p196 :rule not_implies_elim1 :premises (@p195)) % 0.16/0.37 (step @p197 :rule not_implies_elim2 :premises (@p195)) % 0.16/0.37 (step @p198 :rule skolemize :premises (@p197)) % 0.16/0.37 (step @p199 :rule cnf_or_neg :args (@t135 6)) % 0.16/0.37 (step @p200 :rule chain_m_resolution :premises (@p199 @p198) :args ((not @t129) @t136 @t137)) % 0.16/0.37 (step @p201 :rule cnf_or_neg :args (@t135 5)) % 0.16/0.37 (step @p202 :rule chain_m_resolution :premises (@p201 @p198) :args ((not @t131) @t136 @t137)) % 0.16/0.37 (step @p203 :rule bool-double-not-elim :args (@t132)) % 0.16/0.37 (step @p204 :rule refl :args (@t135)) % 0.16/0.37 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t135 (not @t133)))) % 0.16/0.37 (step @p206 :rule cnf_or_neg :args (@t135 4)) % 0.16/0.37 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.16/0.37 (step @p208 :rule reordering :premises (@p207) :args ((or @t132 @t135))) % 0.16/0.37 (step @p209 :rule chain_m_resolution :premises (@p208 @p198) :args (@t132 @t136 @t137)) % 0.16/0.37 (step @p210 :rule cnf_or_pos :args (@t138)) % 0.16/0.37 (step @p211 :rule reordering :premises (@p210) :args ((or @t133 @t131 @t129 @t139))) % 0.16/0.37 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p202 @p200) :args (@t139 (@list false true true) (@list @t132 @t131 @t129))) % 0.16/0.37 (assume-push @p219 @t140) % 0.16/0.37 (step @p214 :rule instantiate :premises (@p196) :args ((@list @t130 @t125 @t128))) % 0.16/0.37 (step-pop @p220 :rule scope :premises (@p214)) % 0.16/0.37 (step @p215 :rule process_scope :premises (@p220) :args (@t138)) % 0.16/0.37 (step @p217 :rule implies_elim :premises (@p215)) % 0.16/0.37 (step @p218 false :rule chain_m_resolution :premises (@p217 @p212 @p196) :args (false (@list true false) (@list @t138 @t140))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------