%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU713^2 : 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 : n018.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 08:52:51 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU713^2 : 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 % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:48:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.setminusEL Bool) % 0.37/0.57 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.powersetI Bool) % 0.37/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.powersetE Bool) % 0.37/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t2 () (_ tptp.powerset @t1)) % 0.37/0.57 (define @t3 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t4 () (_ tptp.in @t3)) % 0.37/0.57 (define @t5 () (_ @t4 @t2)) % 0.37/0.57 (define @t6 () (@var "Xx" $$unsorted)) % 0.37/0.57 (define @t7 () (_ tptp.in @t6)) % 0.37/0.57 (define @t8 () (_ @t7 @t1)) % 0.37/0.57 (define @t9 () (_ @t7 @t3)) % 0.37/0.57 (define @t10 () (=> @t9 @t8)) % 0.37/0.57 (define @t11 () (@list @t6)) % 0.37/0.57 (define @t12 () (forall @t11 @t10)) % 0.37/0.57 (define @t13 () (=> @t12 @t5)) % 0.37/0.57 (define @t14 () (@list @t1 @t3)) % 0.37/0.57 (define @t15 () (forall @t14 @t13)) % 0.37/0.57 (define @t16 () (= tptp.powersetI @t15)) % 0.37/0.57 (define @t17 () (@list @t1 @t3 @t6)) % 0.37/0.57 (define @t18 () (forall @t17 (=> @t5 @t10))) % 0.37/0.57 (define @t19 () (= tptp.powersetE @t18)) % 0.37/0.57 (define @t20 () (_ (_ tptp.setminus @t1) @t3)) % 0.37/0.57 (define @t21 () (_ @t7 @t20)) % 0.37/0.57 (define @t22 () (forall @t17 (=> @t21 @t8))) % 0.37/0.57 (define @t23 () (= tptp.setminusEL @t22)) % 0.37/0.57 (define @t24 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t25 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t26 () (_ (_ tptp.setminus @t25) @t24)) % 0.37/0.57 (define @t27 () (_ (_ tptp.in @t26) @t2)) % 0.37/0.57 (define @t28 () (_ tptp.in @t24)) % 0.37/0.57 (define @t29 () (_ @t28 @t2)) % 0.37/0.57 (define @t30 () (@list @t24)) % 0.37/0.57 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.37/0.57 (define @t32 () (_ tptp.in @t25)) % 0.37/0.57 (define @t33 () (_ @t32 @t2)) % 0.37/0.57 (define @t34 () (=> @t33 @t31)) % 0.37/0.57 (define @t35 () (@list @t1 @t25)) % 0.37/0.57 (define @t36 () (forall @t35 @t34)) % 0.37/0.57 (define @t37 () (=> tptp.setminusEL @t36)) % 0.37/0.57 (define @t38 () (=> tptp.powersetE @t37)) % 0.37/0.57 (define @t39 () (=> tptp.powersetI @t38)) % 0.37/0.57 (define @t40 () (not @t39)) % 0.37/0.57 (define @t41 () (tptp.powerset @t1)) % 0.37/0.57 (define @t42 () (@var "BOUND_VARIABLE_7523" $$unsorted)) % 0.37/0.57 (define @t43 () (tptp.in (tptp.setminus @t25 @t42) @t41)) % 0.37/0.57 (define @t44 () (not (tptp.in @t42 @t41))) % 0.37/0.57 (define @t45 () (tptp.in @t25 @t41)) % 0.37/0.57 (define @t46 () (not @t45)) % 0.37/0.57 (define @t47 () (or @t46 @t44 @t43)) % 0.37/0.57 (define @t48 () (@list @t1 @t25 @t42)) % 0.37/0.57 (define @t49 () (forall @t48 @t47)) % 0.37/0.57 (define @t50 () (tptp.in @t6 @t1)) % 0.37/0.57 (define @t51 () (tptp.setminus @t1 @t3)) % 0.37/0.57 (define @t52 () (tptp.in @t6 @t51)) % 0.37/0.57 (define @t53 () (not @t21)) % 0.37/0.57 (define @t54 () (or @t53 @t8)) % 0.37/0.57 (define @t55 () (=> tptp.setminusEL @t49)) % 0.37/0.57 (define @t56 () (tptp.in @t6 @t3)) % 0.37/0.57 (define @t57 () (not @t9)) % 0.37/0.57 (define @t58 () (tptp.in @t3 @t41)) % 0.37/0.57 (define @t59 () (not @t5)) % 0.37/0.57 (define @t60 () (or @t59 @t57 @t8)) % 0.37/0.57 (define @t61 () (or @t57 @t8)) % 0.37/0.57 (define @t62 () (=> tptp.powersetE @t55)) % 0.37/0.57 (define @t63 () (not @t56)) % 0.37/0.57 (define @t64 () (forall @t11 (or @t63 @t50))) % 0.37/0.57 (define @t65 () (not @t64)) % 0.37/0.57 (define @t66 () (or @t65 @t5)) % 0.37/0.57 (define @t67 () (=> tptp.powersetI @t62)) % 0.37/0.57 (define @t68 () (or @t44 @t43)) % 0.37/0.57 (define @t69 () (or @t46 @t68)) % 0.37/0.57 (define @t70 () (forall @t48 @t69)) % 0.37/0.57 (define @t71 () (@list @t42)) % 0.37/0.57 (define @t72 () (forall @t71 @t69)) % 0.37/0.57 (define @t73 () (forall @t71 @t68)) % 0.37/0.57 (define @t74 () (or @t46 @t73)) % 0.37/0.57 (define @t75 () (tptp.setminus @t25 @t24)) % 0.37/0.57 (define @t76 () (tptp.in @t75 @t41)) % 0.37/0.57 (define @t77 () (tptp.in @t24 @t41)) % 0.37/0.57 (define @t78 () (forall @t30 (or (not @t77) @t76))) % 0.37/0.57 (define @t79 () (not @t33)) % 0.37/0.57 (define @t80 () (or @t79 @t78)) % 0.37/0.57 (define @t81 () (not @t29)) % 0.37/0.57 (define @t82 () (or @t81 @t27)) % 0.37/0.57 (define @t83 () (@quantifiers_skolemize @t49 0)) % 0.37/0.57 (define @t84 () (@quantifiers_skolemize @t49 2)) % 0.37/0.57 (define @t85 () (@quantifiers_skolemize @t49 1)) % 0.37/0.57 (define @t86 () (tptp.setminus @t85 @t84)) % 0.37/0.57 (define @t87 () (forall @t11 (or (not (tptp.in @t6 @t86)) (tptp.in @t6 @t83)))) % 0.37/0.57 (define @t88 () (@quantifiers_skolemize @t87 0)) % 0.37/0.57 (define @t89 () (tptp.powerset @t83)) % 0.37/0.57 (define @t90 () (tptp.in @t86 @t89)) % 0.37/0.57 (define @t91 () (tptp.in @t85 @t89)) % 0.37/0.57 (define @t92 () (not @t91)) % 0.37/0.57 (define @t93 () (or @t92 (not (tptp.in @t84 @t89)) @t90)) % 0.37/0.57 (define @t94 () (@list true)) % 0.37/0.57 (define @t95 () (@list @t93)) % 0.37/0.57 (define @t96 () (not @t87)) % 0.37/0.57 (define @t97 () (or @t96 @t90)) % 0.37/0.57 (define @t98 () (@list true false)) % 0.37/0.57 (define @t99 () (tptp.in @t88 @t86)) % 0.37/0.57 (define @t100 () (tptp.in @t88 @t83)) % 0.37/0.57 (define @t101 () (not @t99)) % 0.37/0.57 (define @t102 () (or @t101 @t100)) % 0.37/0.57 (define @t103 () (@list @t102)) % 0.37/0.57 (define @t104 () (tptp.in @t88 @t85)) % 0.37/0.57 (define @t105 () (or @t101 @t104)) % 0.37/0.57 (define @t106 () (not @t104)) % 0.37/0.57 (define @t107 () (or @t92 @t106 @t100)) % 0.37/0.57 (define @t108 () (not @t107)) % 0.37/0.57 (define @t109 () (forall @t17 (or (not @t58) @t63 @t50))) % 0.37/0.57 (assume @p1 @t16) % 0.37/0.57 (assume @p2 @t19) % 0.37/0.57 (assume @p3 @t23) % 0.37/0.57 (assume @p4 @t40) % 0.37/0.57 (assume @p5 true) % 0.37/0.57 (step @p6 :rule refl :args (@t49)) % 0.37/0.57 (step @p7 :rule refl :args (@t50)) % 0.37/0.57 (step @p8 :rule refl :args (@t8)) % 0.37/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t8 @t50))) % 0.37/0.57 (step @p10 :rule symm :premises (@p9)) % 0.37/0.57 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.37/0.57 (step @p12 :rule refl :args ((tptp.in @t6 @t20))) % 0.37/0.57 (step @p13 :rule refl :args (@t51)) % 0.37/0.57 (step @p14 :rule refl :args (@t6)) % 0.37/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args (@t52)) % 0.37/0.57 (step @p16 :rule trans :premises (@p15 @p12)) % 0.37/0.57 (step @p17 :rule refl :args (@t7)) % 0.37/0.57 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t7 @t51) @t52))) % 0.37/0.57 (step @p20 :rule symm :premises (@p19)) % 0.37/0.57 (step @p21 :rule refl :args (@t21)) % 0.37/0.57 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.37/0.57 (step @p23 :rule refl :args (@t20)) % 0.37/0.57 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t20 @t51))) % 0.37/0.57 (step @p25 :rule symm :premises (@p24)) % 0.37/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.37/0.57 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.37/0.57 (step @p28 :rule trans :premises (@p27 @p22)) % 0.37/0.57 (step @p29 :rule cong :premises (@p28) :args (@t53)) % 0.37/0.57 (step @p30 :rule nary_cong :premises (@p29 @p11) :args (@t54)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30) :args ((forall @t17 @t54))) % 0.37/0.57 (step @p32 :rule bool-impl-elim :args (@t21 @t8)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args (@t22)) % 0.37/0.57 (step @p34 :rule trans :premises (@p33 @p31)) % 0.37/0.57 (step @p35 :rule refl :args (tptp.setminusEL)) % 0.37/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args (@t23)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37 @p6) :args (@t55)) % 0.37/0.57 (step @p39 :rule refl :args (@t56)) % 0.37/0.57 (step @p40 :rule refl :args (@t9)) % 0.37/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t9 @t56))) % 0.37/0.57 (step @p42 :rule symm :premises (@p41)) % 0.37/0.57 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args (@t57)) % 0.37/0.57 (step @p45 :rule refl :args ((tptp.in @t3 @t2))) % 0.37/0.57 (step @p46 :rule refl :args (@t41)) % 0.37/0.57 (step @p47 :rule refl :args (@t3)) % 0.37/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args (@t58)) % 0.37/0.57 (step @p49 :rule trans :premises (@p48 @p45)) % 0.37/0.57 (step @p50 :rule refl :args (@t4)) % 0.37/0.57 (step @p51 :rule ho_cong :premises (@p50 @p46)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51 @p49) :args ((= (_ @t4 @t41) @t58))) % 0.37/0.57 (step @p53 :rule symm :premises (@p52)) % 0.37/0.57 (step @p54 :rule refl :args (@t5)) % 0.37/0.57 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.37/0.57 (step @p56 :rule refl :args (@t2)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56 @p46) :args ((= @t2 @t41))) % 0.37/0.57 (step @p58 :rule symm :premises (@p57)) % 0.37/0.57 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.37/0.57 (step @p60 :rule ho_cong :premises (@p50 @p59)) % 0.37/0.57 (step @p61 :rule trans :premises (@p60 @p55)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61) :args (@t59)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p44 @p11) :args (@t60)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t17 @t60))) % 0.37/0.57 (step @p65 :rule aci_norm :args ((= (or @t59 @t61) @t60))) % 0.37/0.57 (step @p66 :rule bool-impl-elim :args (@t9 @t8)) % 0.37/0.57 (step @p67 :rule refl :args (@t59)) % 0.37/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t59 @t10))) % 0.37/0.57 (step @p69 :rule trans :premises (@p68 @p65)) % 0.37/0.57 (step @p70 :rule bool-impl-elim :args (@t5 @t10)) % 0.37/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.57 (step @p72 :rule cong :premises (@p71) :args (@t18)) % 0.37/0.57 (step @p73 :rule trans :premises (@p72 @p64)) % 0.37/0.57 (step @p74 :rule refl :args (tptp.powersetE)) % 0.37/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args (@t19)) % 0.37/0.57 (step @p76 :rule eq_resolve :premises (@p2 @p75)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76 @p38) :args (@t62)) % 0.37/0.57 (step @p78 :rule refl :args (@t65)) % 0.37/0.57 (step @p79 :rule nary_cong :premises (@p78 @p61) :args (@t66)) % 0.37/0.57 (step @p80 :rule cong :premises (@p79) :args ((forall @t14 @t66))) % 0.37/0.57 (step @p81 :rule bool-impl-elim :args (@t64 @t5)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81) :args ((forall @t14 (=> @t64 @t5)))) % 0.37/0.57 (step @p83 :rule trans :premises (@p82 @p80)) % 0.37/0.57 (step @p84 :rule refl :args (@t5)) % 0.37/0.57 (step @p85 :rule nary_cong :premises (@p44 @p11) :args (@t61)) % 0.37/0.57 (step @p86 :rule cong :premises (@p85) :args ((forall @t11 @t61))) % 0.37/0.57 (step @p87 :rule cong :premises (@p66) :args (@t12)) % 0.37/0.57 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.57 (step @p89 :rule cong :premises (@p88 @p84) :args (@t13)) % 0.37/0.57 (step @p90 :rule cong :premises (@p89) :args (@t15)) % 0.37/0.57 (step @p91 :rule trans :premises (@p90 @p83)) % 0.37/0.57 (step @p92 :rule refl :args (tptp.powersetI)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92 @p91) :args (@t16)) % 0.37/0.57 (step @p94 :rule eq_resolve :premises (@p1 @p93)) % 0.37/0.57 (step @p95 :rule cong :premises (@p94 @p77) :args (@t67)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95) :args ((not @t67))) % 0.37/0.57 (step @p97 :rule aci_norm :args ((= @t69 @t47))) % 0.37/0.57 (step @p98 :rule cong :premises (@p97) :args (@t70)) % 0.37/0.57 (step @p99 :rule quant-merge-prenex :args ((= (forall @t35 @t72) @t70))) % 0.37/0.57 (step @p100 :rule alpha_equiv :args (@t73 (@list @t42) (@list @t24))) % 0.37/0.57 (step @p101 :rule refl :args (@t46)) % 0.37/0.57 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t74)) % 0.37/0.57 (step @p103 :rule quant-miniscope-or :args ((= @t72 @t74))) % 0.37/0.57 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.57 (step @p105 :rule symm :premises (@p104)) % 0.37/0.57 (step @p106 :rule cong :premises (@p105) :args ((forall @t35 (or @t46 @t78)))) % 0.37/0.57 (step @p107 :rule trans :premises (@p106 @p99)) % 0.37/0.57 (step @p108 :rule trans :premises (@p107 @p98)) % 0.37/0.57 (step @p109 :rule refl :args (@t78)) % 0.37/0.57 (step @p110 :rule refl :args ((tptp.in @t25 @t2))) % 0.37/0.57 (step @p111 :rule refl :args (@t25)) % 0.37/0.57 (step @p112 :rule cong :premises (@p111 @p46) :args (@t45)) % 0.37/0.57 (step @p113 :rule trans :premises (@p112 @p110)) % 0.37/0.57 (step @p114 :rule refl :args (@t32)) % 0.37/0.57 (step @p115 :rule ho_cong :premises (@p114 @p46)) % 0.37/0.57 (step @p116 :rule cong :premises (@p115 @p113) :args ((= (_ @t32 @t41) @t45))) % 0.37/0.57 (step @p117 :rule symm :premises (@p116)) % 0.37/0.57 (step @p118 :rule refl :args (@t33)) % 0.37/0.57 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.37/0.57 (step @p120 :rule ho_cong :premises (@p114 @p59)) % 0.37/0.57 (step @p121 :rule trans :premises (@p120 @p119)) % 0.37/0.57 (step @p122 :rule cong :premises (@p121) :args (@t79)) % 0.37/0.57 (step @p123 :rule nary_cong :premises (@p122 @p109) :args (@t80)) % 0.37/0.57 (step @p124 :rule cong :premises (@p123) :args ((forall @t35 @t80))) % 0.37/0.57 (step @p125 :rule trans :premises (@p124 @p108)) % 0.37/0.57 (step @p126 :rule bool-impl-elim :args (@t33 @t78)) % 0.37/0.57 (step @p127 :rule cong :premises (@p126) :args ((forall @t35 (=> @t33 @t78)))) % 0.37/0.57 (step @p128 :rule trans :premises (@p127 @p125)) % 0.37/0.57 (step @p129 :rule refl :args ((tptp.in @t26 @t2))) % 0.37/0.57 (step @p130 :rule refl :args (@t75)) % 0.37/0.57 (step @p131 :rule cong :premises (@p130 @p46) :args (@t76)) % 0.37/0.57 (step @p132 :rule trans :premises (@p131 @p129)) % 0.37/0.57 (step @p133 :rule refl :args (tptp.in)) % 0.37/0.57 (step @p134 :rule ho_cong :premises (@p133 @p130)) % 0.37/0.57 (step @p135 :rule ho_cong :premises (@p134 @p46)) % 0.37/0.57 (step @p136 :rule cong :premises (@p135 @p132) :args ((= (_ (_ tptp.in @t75) @t41) @t76))) % 0.37/0.57 (step @p137 :rule symm :premises (@p136)) % 0.37/0.57 (step @p138 :rule refl :args (@t27)) % 0.37/0.57 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.37/0.57 (step @p140 :rule refl :args (@t26)) % 0.37/0.57 (step @p141 :rule cong :premises (@p140 @p130) :args ((= @t26 @t75))) % 0.37/0.57 (step @p142 :rule symm :premises (@p141)) % 0.37/0.57 (step @p143 :rule eq_resolve :premises (@p140 @p142)) % 0.37/0.57 (step @p144 :rule ho_cong :premises (@p133 @p143)) % 0.37/0.57 (step @p145 :rule ho_cong :premises (@p144 @p59)) % 0.37/0.57 (step @p146 :rule trans :premises (@p145 @p139)) % 0.37/0.57 (step @p147 :rule refl :args ((tptp.in @t24 @t2))) % 0.37/0.57 (step @p148 :rule refl :args (@t24)) % 0.37/0.57 (step @p149 :rule cong :premises (@p148 @p46) :args (@t77)) % 0.37/0.57 (step @p150 :rule trans :premises (@p149 @p147)) % 0.37/0.57 (step @p151 :rule refl :args (@t28)) % 0.37/0.57 (step @p152 :rule ho_cong :premises (@p151 @p46)) % 0.37/0.57 (step @p153 :rule cong :premises (@p152 @p150) :args ((= (_ @t28 @t41) @t77))) % 0.37/0.57 (step @p154 :rule symm :premises (@p153)) % 0.37/0.57 (step @p155 :rule refl :args (@t29)) % 0.37/0.57 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.37/0.57 (step @p157 :rule ho_cong :premises (@p151 @p59)) % 0.37/0.57 (step @p158 :rule trans :premises (@p157 @p156)) % 0.37/0.57 (step @p159 :rule cong :premises (@p158) :args (@t81)) % 0.37/0.57 (step @p160 :rule nary_cong :premises (@p159 @p146) :args (@t82)) % 0.37/0.57 (step @p161 :rule cong :premises (@p160) :args ((forall @t30 @t82))) % 0.37/0.57 (step @p162 :rule bool-impl-elim :args (@t29 @t27)) % 0.37/0.57 (step @p163 :rule cong :premises (@p162) :args (@t31)) % 0.37/0.57 (step @p164 :rule trans :premises (@p163 @p161)) % 0.37/0.57 (step @p165 :rule refl :args (@t33)) % 0.37/0.57 (step @p166 :rule cong :premises (@p165 @p164) :args (@t34)) % 0.37/0.57 (step @p167 :rule cong :premises (@p166) :args (@t36)) % 0.37/0.57 (step @p168 :rule trans :premises (@p167 @p128)) % 0.37/0.57 (step @p169 :rule cong :premises (@p35 @p168) :args (@t37)) % 0.37/0.57 (step @p170 :rule cong :premises (@p74 @p169) :args (@t38)) % 0.37/0.57 (step @p171 :rule cong :premises (@p92 @p170) :args (@t39)) % 0.37/0.57 (step @p172 :rule cong :premises (@p171) :args (@t40)) % 0.37/0.57 (step @p173 :rule trans :premises (@p172 @p96)) % 0.37/0.57 (step @p174 :rule eq_resolve :premises (@p4 @p173)) % 0.37/0.57 (step @p175 :rule not_implies_elim2 :premises (@p174)) % 0.37/0.57 (step @p176 :rule not_implies_elim1 :premises (@p175)) % 0.37/0.57 (step @p177 :rule not_implies_elim2 :premises (@p175)) % 0.37/0.57 (step @p178 :rule not_implies_elim1 :premises (@p177)) % 0.37/0.57 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t85 @t84 @t88))) % 0.37/0.57 (step @p180 :rule not_implies_elim1 :premises (@p174)) % 0.37/0.57 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t83 @t86))) % 0.37/0.57 (step @p182 :rule not_implies_elim2 :premises (@p177)) % 0.37/0.57 (step @p183 :rule skolemize :premises (@p182)) % 0.37/0.57 (step @p184 :rule cnf_or_neg :args (@t93 2)) % 0.37/0.57 (step @p185 :rule chain_m_resolution :premises (@p184 @p183) :args ((not @t90) @t94 @t95)) % 0.37/0.57 (step @p186 :rule cnf_or_pos :args (@t97)) % 0.37/0.57 (step @p187 :rule reordering :premises (@p186) :args ((or @t90 @t96 (not @t97)))) % 0.37/0.57 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p181) :args (@t96 @t98 (@list @t90 @t97))) % 0.37/0.57 (step @p189 :rule skolemize :premises (@p188)) % 0.37/0.57 (step @p190 :rule bool-double-not-elim :args (@t99)) % 0.37/0.57 (step @p191 :rule refl :args (@t102)) % 0.37/0.57 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t102 (not @t101)))) % 0.37/0.57 (step @p193 :rule cnf_or_neg :args (@t102 0)) % 0.37/0.57 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.37/0.57 (step @p195 :rule reordering :premises (@p194) :args ((or @t99 @t102))) % 0.37/0.57 (step @p196 :rule chain_m_resolution :premises (@p195 @p189) :args (@t99 @t94 @t103)) % 0.37/0.57 (step @p197 :rule cnf_or_pos :args (@t105)) % 0.37/0.57 (step @p198 :rule reordering :premises (@p197) :args ((or @t101 @t104 (not @t105)))) % 0.37/0.57 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p179) :args (@t104 (@list false false) (@list @t99 @t105))) % 0.37/0.57 (step @p200 :rule cnf_or_neg :args (@t102 1)) % 0.37/0.57 (step @p201 :rule chain_m_resolution :premises (@p200 @p189) :args ((not @t100) @t94 @t103)) % 0.37/0.57 (step @p202 :rule bool-double-not-elim :args (@t91)) % 0.37/0.57 (step @p203 :rule refl :args (@t93)) % 0.37/0.57 (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((or @t93 (not @t92)))) % 0.37/0.57 (step @p205 :rule cnf_or_neg :args (@t93 0)) % 0.37/0.57 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 0.37/0.57 (step @p207 :rule reordering :premises (@p206) :args ((or @t91 @t93))) % 0.37/0.57 (step @p208 :rule chain_m_resolution :premises (@p207 @p183) :args (@t91 @t94 @t95)) % 0.37/0.57 (step @p209 :rule cnf_or_pos :args (@t107)) % 0.37/0.57 (step @p210 :rule reordering :premises (@p209) :args ((or @t92 @t100 @t106 @t108))) % 0.37/0.57 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p201 @p199) :args (@t108 (@list false true false) (@list @t91 @t100 @t104))) % 0.37/0.57 (assume-push @p218 @t109) % 0.37/0.57 (step @p213 :rule instantiate :premises (@p176) :args ((@list @t83 @t85 @t88))) % 0.37/0.57 (step-pop @p219 :rule scope :premises (@p213)) % 0.37/0.57 (step @p214 :rule process_scope :premises (@p219) :args (@t107)) % 0.37/0.57 (step @p216 :rule implies_elim :premises (@p214)) % 0.37/0.57 (step @p217 false :rule chain_m_resolution :premises (@p216 @p211 @p176) :args (false @t98 (@list @t107 @t109))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------