%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO547^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:13:06 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 : SYO547^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n016.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:20:54 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----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 $$unsorted 0) % 0.37/0.58 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 0.37/0.58 (define tptp.epscomp () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (_ tptp.eps (lambda (@list _let_1) (not (_ _let_2 _let_1)))))))) % 0.37/0.58 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.58 (define @t2 () (_ tptp.eps @t1)) % 0.37/0.58 (define @t3 () (_ @t1 @t2)) % 0.37/0.58 (define @t4 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t5 () (_ @t1 @t4)) % 0.37/0.58 (define @t6 () (@list @t4)) % 0.37/0.58 (define @t7 () (exists @t6 @t5)) % 0.37/0.58 (define @t8 () (=> @t7 @t3)) % 0.37/0.58 (define @t9 () (@list @t1)) % 0.37/0.58 (define @t10 () (forall @t9 @t8)) % 0.37/0.58 (define @t11 () (not (_ @t1 (_ tptp.epscomp @t1)))) % 0.37/0.58 (define @t12 () (not @t5)) % 0.37/0.58 (define @t13 () (exists @t6 @t12)) % 0.37/0.58 (define @t14 () (=> @t13 @t11)) % 0.37/0.58 (define @t15 () (forall @t9 @t14)) % 0.37/0.58 (define @t16 () (not @t15)) % 0.37/0.58 (define @t17 () (lambda @t6 @t12)) % 0.37/0.58 (define @t18 () (_ tptp.eps @t17)) % 0.37/0.58 (define @t19 () (lambda @t9 @t18)) % 0.37/0.58 (define @t20 () (tptp.eps @t1)) % 0.37/0.58 (define @t21 () (_ @t1 @t20)) % 0.37/0.58 (define @t22 () (@var "BOUND_VARIABLE_7448" $$unsorted)) % 0.37/0.58 (define @t23 () (not (_ @t1 @t22))) % 0.37/0.58 (define @t24 () (or @t23 @t21)) % 0.37/0.58 (define @t25 () (forall (@list @t1 @t22) @t24)) % 0.37/0.58 (define @t26 () (@list @t22)) % 0.37/0.58 (define @t27 () (forall @t26 @t24)) % 0.37/0.58 (define @t28 () (forall @t26 @t23)) % 0.37/0.58 (define @t29 () (@list @t4)) % 0.37/0.58 (define @t30 () (or @t28 @t21)) % 0.37/0.58 (define @t31 () (_ @t1 @t4)) % 0.37/0.58 (define @t32 () (not @t31)) % 0.37/0.58 (define @t33 () (forall @t6 @t32)) % 0.37/0.58 (define @t34 () (or @t33 @t3)) % 0.37/0.58 (define @t35 () (not @t33)) % 0.37/0.58 (define @t36 () (forall @t6 @t12)) % 0.37/0.58 (define @t37 () (not @t36)) % 0.37/0.58 (define @t38 () (lambda @t6 @t32)) % 0.37/0.58 (define @t39 () (tptp.eps @t38)) % 0.37/0.58 (define @t40 () (_ @t1 @t39)) % 0.37/0.58 (define @t41 () (not @t40)) % 0.37/0.58 (define @t42 () (@var "BOUND_VARIABLE_7484" $$unsorted)) % 0.37/0.58 (define @t43 () (_ @t1 @t42)) % 0.37/0.58 (define @t44 () (or @t43 @t41)) % 0.37/0.58 (define @t45 () (forall (@list @t1 @t42) @t44)) % 0.37/0.58 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.37/0.58 (define @t47 () (not (_ @t46 @t4))) % 0.37/0.58 (define @t48 () (lambda @t6 @t47)) % 0.37/0.58 (define @t49 () (@purify @t48)) % 0.37/0.58 (define @t50 () (_ @t49 @t4)) % 0.37/0.58 (define @t51 () (_ @t48 @t4)) % 0.37/0.58 (define @t52 () (= @t50 @t51)) % 0.37/0.58 (define @t53 () (forall @t6 @t52)) % 0.37/0.58 (define @t54 () (@quantifiers_skolemize @t45 1)) % 0.37/0.58 (define @t55 () (@list @t42)) % 0.37/0.58 (define @t56 () (forall @t55 @t44)) % 0.37/0.58 (define @t57 () (forall @t55 @t43)) % 0.37/0.58 (define @t58 () (or @t57 @t41)) % 0.37/0.58 (define @t59 () (forall @t6 @t31)) % 0.37/0.58 (define @t60 () (_ @t1 @t18)) % 0.37/0.58 (define @t61 () (not @t60)) % 0.37/0.58 (define @t62 () (or @t59 @t61)) % 0.37/0.58 (define @t63 () (not @t59)) % 0.37/0.58 (define @t64 () (_ @t19 @t1)) % 0.37/0.58 (define @t65 () (not (_ @t1 @t64))) % 0.37/0.58 (define @t66 () (forall @t6 (not @t12))) % 0.37/0.58 (define @t67 () (not @t66)) % 0.37/0.58 (define @t68 () (=> @t13 @t65)) % 0.37/0.58 (define @t69 () (forall @t9 @t68)) % 0.37/0.58 (define @t70 () (tptp.eps @t49)) % 0.37/0.58 (define @t71 () (_ @t46 @t70)) % 0.37/0.58 (define @t72 () (not @t71)) % 0.37/0.58 (define @t73 () (_ @t46 @t54)) % 0.37/0.58 (define @t74 () (or @t73 @t72)) % 0.37/0.58 (define @t75 () (not @t74)) % 0.37/0.58 (define @t76 () (not @t45)) % 0.37/0.58 (define @t77 () (tptp.eps @t48)) % 0.37/0.58 (define @t78 () (_ @t46 @t77)) % 0.37/0.58 (define @t79 () (not @t78)) % 0.37/0.58 (define @t80 () (or @t73 @t79)) % 0.37/0.58 (define @t81 () (not @t80)) % 0.37/0.58 (define @t82 () (@list true)) % 0.37/0.58 (define @t83 () (not @t73)) % 0.37/0.58 (define @t84 () (@list @t74)) % 0.37/0.58 (define @t85 () (_ @t49 @t54)) % 0.37/0.58 (define @t86 () (= @t83 @t85)) % 0.37/0.58 (define @t87 () (not @t86)) % 0.37/0.58 (define @t88 () (@list true false)) % 0.37/0.58 (define @t89 () (_ @t49 @t70)) % 0.37/0.58 (define @t90 () (= @t72 @t89)) % 0.37/0.58 (define @t91 () (not @t89)) % 0.37/0.58 (define @t92 () (not @t85)) % 0.37/0.58 (define @t93 () (or @t92 @t89)) % 0.37/0.58 (define @t94 () (not @t93)) % 0.37/0.58 (assume @p1 @t10) % 0.37/0.58 (assume @p2 @t16) % 0.37/0.58 (assume @p3 true) % 0.37/0.58 (step @p4 (= tptp.epscomp @t19) :rule refl :args (@t19)) % 0.37/0.58 (step @p5 :rule quant-merge-prenex :args ((= (forall @t9 @t27) @t25))) % 0.37/0.58 (step @p6 :rule refl :args (@t21)) % 0.37/0.58 (step @p7 :rule alpha_equiv :args (@t28 (@list @t22) @t29)) % 0.37/0.58 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t30)) % 0.37/0.58 (step @p9 :rule quant-miniscope-or :args ((= @t27 @t30))) % 0.37/0.58 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.58 (step @p11 :rule symm :premises (@p10)) % 0.37/0.58 (step @p12 :rule cong :premises (@p11) :args ((forall @t9 (or @t33 @t21)))) % 0.37/0.58 (step @p13 :rule trans :premises (@p12 @p5)) % 0.37/0.58 (step @p14 :rule refl :args ((_ @t1 @t2))) % 0.37/0.58 (step @p15 :rule refl :args (@t20)) % 0.37/0.58 (step @p16 :rule cong :premises (@p15) :args (@t21)) % 0.37/0.58 (step @p17 :rule trans :premises (@p16 @p14)) % 0.37/0.58 (step @p18 :rule refl :args (@t1)) % 0.37/0.58 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.37/0.58 (step @p20 :rule cong :premises (@p19 @p17) :args ((= (_ @t1 @t20) @t21))) % 0.37/0.58 (step @p21 :rule symm :premises (@p20)) % 0.37/0.58 (step @p22 :rule refl :args (@t3)) % 0.37/0.58 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.37/0.58 (step @p24 :rule refl :args (@t2)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24 @p15) :args ((= @t2 @t20))) % 0.37/0.58 (step @p26 :rule symm :premises (@p25)) % 0.37/0.58 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.37/0.58 (step @p28 :rule ho_cong :premises (@p18 @p27)) % 0.37/0.58 (step @p29 :rule trans :premises (@p28 @p23)) % 0.37/0.58 (step @p30 :rule refl :args (@t33)) % 0.37/0.58 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t34)) % 0.37/0.58 (step @p32 :rule cong :premises (@p31) :args ((forall @t9 @t34))) % 0.37/0.58 (step @p33 :rule trans :premises (@p32 @p13)) % 0.37/0.58 (step @p34 :rule bool-double-not-elim :args (@t33)) % 0.37/0.58 (step @p35 :rule nary_cong :premises (@p34 @p22) :args ((or (not @t35) @t3))) % 0.37/0.58 (step @p36 :rule bool-impl-elim :args (@t35 @t3)) % 0.37/0.58 (step @p37 :rule trans :premises (@p36 @p35)) % 0.37/0.58 (step @p38 :rule cong :premises (@p37) :args ((forall @t9 (=> @t35 @t3)))) % 0.37/0.58 (step @p39 :rule trans :premises (@p38 @p33)) % 0.37/0.58 (step @p40 :rule refl :args (@t3)) % 0.37/0.58 (step @p41 :rule refl :args (@t31)) % 0.37/0.58 (step @p42 :rule refl :args (@t5)) % 0.37/0.58 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t5 @t31))) % 0.37/0.58 (step @p44 :rule symm :premises (@p43)) % 0.37/0.58 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.37/0.58 (step @p46 :rule cong :premises (@p45) :args (@t12)) % 0.37/0.58 (step @p47 :rule cong :premises (@p46) :args (@t36)) % 0.37/0.58 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.37/0.58 (step @p49 :rule exists-elim :args ((= @t7 @t37))) % 0.37/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.58 (step @p51 :rule cong :premises (@p50 @p40) :args (@t8)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 0.37/0.58 (step @p53 :rule trans :premises (@p52 @p39)) % 0.37/0.58 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.37/0.58 (step @p55 :rule eq-symm :args (@t50 @t47)) % 0.37/0.58 (step @p56 :rule beta-reduce :args ((= @t51 @t47))) % 0.37/0.58 (step @p57 :rule refl :args (@t50)) % 0.37/0.58 (step @p58 :rule cong :premises (@p57 @p56) :args (@t52)) % 0.37/0.58 (step @p59 :rule trans :premises (@p58 @p55)) % 0.37/0.58 (step @p60 :rule cong :premises (@p59) :args (@t53)) % 0.37/0.58 (step @p61 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.37/0.58 (step @p62 :rule eq-refl :args (@t51)) % 0.37/0.58 (step @p63 :rule cong :premises (@p62) :args ((forall @t6 (= @t51 @t51)))) % 0.37/0.58 (step @p64 :rule trans :premises (@p63 @p61)) % 0.37/0.58 (step @p65 :rule refl :args (@t51)) % 0.37/0.58 (step @p66 :rule refl :args (@t4)) % 0.37/0.58 (step @p67 :rule skolem_intro :args (@t49)) % 0.37/0.58 (step @p68 :rule ho_cong :premises (@p67 @p66)) % 0.37/0.58 (step @p69 :rule cong :premises (@p68 @p65) :args (@t52)) % 0.37/0.58 (step @p70 :rule cong :premises (@p69) :args (@t53)) % 0.37/0.58 (step @p71 :rule trans :premises (@p70 @p64)) % 0.37/0.58 (step @p72 :rule true_elim :premises (@p71)) % 0.37/0.58 (step @p73 :rule eq_resolve :premises (@p72 @p60)) % 0.37/0.58 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t54))) % 0.37/0.58 (step @p75 :rule quant-merge-prenex :args ((= (forall @t9 @t56) @t45))) % 0.37/0.58 (step @p76 :rule refl :args (@t41)) % 0.37/0.58 (step @p77 :rule alpha_equiv :args (@t57 (@list @t42) @t29)) % 0.37/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t58)) % 0.37/0.58 (step @p79 :rule quant-miniscope-or :args ((= @t56 @t58))) % 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 @t9 (or @t59 @t41)))) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p75)) % 0.37/0.58 (step @p84 :rule refl :args ((_ @t1 @t18))) % 0.37/0.58 (step @p85 :rule refl :args ((tptp.eps @t17))) % 0.37/0.58 (step @p86 :rule cong :premises (@p41) :args (@t32)) % 0.37/0.58 (step @p87 :rule cong :premises (@p86) :args (@t38)) % 0.37/0.58 (step @p88 :rule cong :premises (@p87) :args (@t39)) % 0.37/0.58 (step @p89 :rule trans :premises (@p88 @p85)) % 0.37/0.58 (step @p90 :rule cong :premises (@p89) :args (@t40)) % 0.37/0.58 (step @p91 :rule trans :premises (@p90 @p84)) % 0.37/0.58 (step @p92 :rule ho_cong :premises (@p18 @p89)) % 0.37/0.58 (step @p93 :rule cong :premises (@p92 @p91) :args ((= (_ @t1 @t39) @t40))) % 0.37/0.58 (step @p94 :rule symm :premises (@p93)) % 0.37/0.58 (step @p95 :rule refl :args (@t60)) % 0.37/0.58 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.37/0.58 (step @p97 :rule refl :args (tptp.eps)) % 0.37/0.58 (step @p98 :rule ho_cong :premises (@p97 @p87)) % 0.37/0.58 (step @p99 :rule cong :premises (@p98 @p89) :args ((= (_ tptp.eps @t38) @t39))) % 0.37/0.58 (step @p100 :rule symm :premises (@p99)) % 0.37/0.58 (step @p101 :rule refl :args (@t18)) % 0.37/0.58 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.37/0.58 (step @p103 :rule cong :premises (@p46) :args (@t17)) % 0.37/0.58 (step @p104 :rule ho_cong :premises (@p97 @p103)) % 0.37/0.58 (step @p105 :rule trans :premises (@p104 @p102)) % 0.37/0.58 (step @p106 :rule ho_cong :premises (@p18 @p105)) % 0.37/0.58 (step @p107 :rule trans :premises (@p106 @p96)) % 0.37/0.58 (step @p108 :rule cong :premises (@p107) :args (@t61)) % 0.37/0.58 (step @p109 :rule refl :args (@t59)) % 0.37/0.58 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t62)) % 0.37/0.58 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 @t62))) % 0.37/0.58 (step @p112 :rule trans :premises (@p111 @p83)) % 0.37/0.58 (step @p113 :rule refl :args (@t61)) % 0.37/0.58 (step @p114 :rule bool-double-not-elim :args (@t59)) % 0.37/0.58 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t63) @t61))) % 0.37/0.58 (step @p116 :rule bool-impl-elim :args (@t63 @t61)) % 0.37/0.58 (step @p117 :rule trans :premises (@p116 @p115)) % 0.37/0.58 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 (=> @t63 @t61)))) % 0.37/0.58 (step @p119 :rule trans :premises (@p118 @p112)) % 0.37/0.58 (step @p120 :rule beta-reduce :args ((= @t64 @t18))) % 0.37/0.58 (step @p121 :rule refl :args (@t1)) % 0.37/0.58 (step @p122 :rule ho_cong :premises (@p121 @p120)) % 0.37/0.58 (step @p123 :rule cong :premises (@p122) :args (@t65)) % 0.37/0.58 (step @p124 :rule cong :premises (@p45) :args ((forall @t6 @t5))) % 0.37/0.58 (step @p125 :rule bool-double-not-elim :args (@t5)) % 0.37/0.58 (step @p126 :rule cong :premises (@p125) :args (@t66)) % 0.37/0.58 (step @p127 :rule trans :premises (@p126 @p124)) % 0.37/0.58 (step @p128 :rule cong :premises (@p127) :args (@t67)) % 0.37/0.58 (step @p129 :rule exists-elim :args ((= @t13 @t67))) % 0.37/0.58 (step @p130 :rule trans :premises (@p129 @p128)) % 0.37/0.58 (step @p131 :rule cong :premises (@p130 @p123) :args (@t68)) % 0.37/0.58 (step @p132 :rule cong :premises (@p131) :args (@t69)) % 0.37/0.58 (step @p133 :rule trans :premises (@p132 @p119)) % 0.37/0.58 (step @p134 :rule cong :premises (@p133) :args ((not @t69))) % 0.37/0.58 (step @p135 :rule ho_cong :premises (@p4 @p121)) % 0.37/0.58 (step @p136 :rule ho_cong :premises (@p121 @p135)) % 0.37/0.58 (step @p137 :rule cong :premises (@p136) :args (@t11)) % 0.37/0.58 (step @p138 :rule refl :args (@t13)) % 0.37/0.58 (step @p139 :rule cong :premises (@p138 @p137) :args (@t14)) % 0.37/0.58 (step @p140 :rule cong :premises (@p139) :args (@t15)) % 0.37/0.58 (step @p141 :rule cong :premises (@p140) :args (@t16)) % 0.37/0.58 (step @p142 :rule trans :premises (@p141 @p134)) % 0.37/0.58 (step @p143 :rule eq_resolve :premises (@p2 @p142)) % 0.37/0.58 (step @p144 :rule refl :args (@t75)) % 0.37/0.58 (step @p145 :rule bool-double-not-elim :args (@t45)) % 0.37/0.58 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or (not @t76) @t75))) % 0.37/0.58 (step @p147 :rule eq-refl :args (@t48)) % 0.37/0.58 (step @p148 :rule refl :args (@t48)) % 0.37/0.58 (step @p149 :rule cong :premises (@p148 @p67) :args ((= @t48 @t49))) % 0.37/0.58 (step @p150 :rule trans :premises (@p149 @p147)) % 0.37/0.58 (step @p151 :rule true_elim :premises (@p150)) % 0.37/0.58 (step @p152 :rule cong :premises (@p151) :args (@t77)) % 0.37/0.58 (step @p153 :rule cong :premises (@p152) :args (@t78)) % 0.37/0.58 (step @p154 :rule cong :premises (@p153) :args (@t79)) % 0.37/0.58 (step @p155 :rule refl :args (@t73)) % 0.37/0.58 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t80)) % 0.37/0.58 (step @p157 :rule cong :premises (@p156) :args (@t81)) % 0.37/0.58 (step @p158 :rule refl :args (@t76)) % 0.37/0.58 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t76 @t81))) % 0.37/0.58 (assume-push @p198 @t76) % 0.37/0.58 (step @p161 :rule skolemize :premises (@p143)) % 0.37/0.58 (step-pop @p199 :rule scope :premises (@p161)) % 0.37/0.58 (step @p162 :rule process_scope :premises (@p199) :args (@t81)) % 0.37/0.58 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.37/0.58 (step @p165 :rule implies_elim :premises (@p164)) % 0.37/0.58 (step @p166 :rule eq_resolve :premises (@p165 @p146)) % 0.37/0.58 (step @p167 :rule chain_m_resolution :premises (@p166 @p143) :args (@t75 @t82 (@list @t45))) % 0.37/0.58 (step @p168 :rule cnf_or_neg :args (@t74 0)) % 0.37/0.58 (step @p169 :rule chain_m_resolution :premises (@p168 @p167) :args (@t83 @t82 @t84)) % 0.37/0.58 (step @p170 :rule refl :args (@t85)) % 0.37/0.58 (step @p171 :rule bool-double-not-elim :args (@t73)) % 0.37/0.58 (step @p172 :rule refl :args (@t87)) % 0.37/0.58 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170) :args ((or @t87 (not @t83) @t85))) % 0.37/0.58 (step @p174 :rule cnf_equiv_pos1 :args (@t86)) % 0.37/0.58 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.37/0.58 (step @p176 :rule reordering :premises (@p175) :args ((or @t73 @t85 @t87))) % 0.37/0.58 (step @p177 :rule chain_m_resolution :premises (@p176 @p169 @p74) :args (@t85 @t88 (@list @t73 @t86))) % 0.37/0.58 (step @p178 :rule instantiate :premises (@p73) :args ((@list @t70))) % 0.37/0.58 (step @p179 :rule bool-double-not-elim :args (@t71)) % 0.37/0.58 (step @p180 :rule refl :args (@t74)) % 0.37/0.58 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t74 (not @t72)))) % 0.37/0.58 (step @p182 :rule cnf_or_neg :args (@t74 1)) % 0.37/0.58 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.37/0.58 (step @p184 :rule reordering :premises (@p183) :args ((or @t71 @t74))) % 0.37/0.58 (step @p185 :rule chain_m_resolution :premises (@p184 @p167) :args (@t71 @t82 @t84)) % 0.37/0.58 (step @p186 :rule cnf_equiv_pos2 :args (@t90)) % 0.37/0.58 (step @p187 :rule reordering :premises (@p186) :args ((or @t72 @t91 (not @t90)))) % 0.37/0.58 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p178) :args (@t91 (@list false false) (@list @t71 @t90))) % 0.37/0.58 (step @p189 :rule cnf_or_pos :args (@t93)) % 0.37/0.58 (step @p190 :rule reordering :premises (@p189) :args ((or @t89 @t92 @t94))) % 0.37/0.58 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p177) :args (@t94 @t88 (@list @t89 @t85))) % 0.37/0.58 (assume-push @p200 @t25) % 0.37/0.58 (step @p193 :rule instantiate :premises (@p54) :args ((@list @t49 @t54))) % 0.37/0.58 (step-pop @p201 :rule scope :premises (@p193)) % 0.37/0.58 (step @p194 :rule process_scope :premises (@p201) :args (@t93)) % 0.37/0.58 (step @p196 :rule implies_elim :premises (@p194)) % 0.37/0.58 (step @p197 false :rule chain_m_resolution :premises (@p196 @p191 @p54) :args (false @t88 (@list @t93 @t25))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------