%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO271^5 : TPTP v9.2.1. Released v4.0.0. % 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 09:12:20 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 : SYO271^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 19:02:00 EDT 2026 % 0.07/0.25 % 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 tptp.b 0) % 0.16/0.37 (declare-sort tptp.a 0) % 0.16/0.37 (declare-const tptp.cJ (-> (-> tptp.b Bool) tptp.b)) % 0.16/0.37 (define @t1 () (@var "Xg" (-> tptp.b tptp.a))) % 0.16/0.37 (define @t2 () (@var "Xf" (-> tptp.b tptp.a))) % 0.16/0.37 (define @t3 () (= @t2 @t1)) % 0.16/0.37 (define @t4 () (@var "Xx" tptp.b)) % 0.16/0.37 (define @t5 () (_ @t1 @t4)) % 0.16/0.37 (define @t6 () (_ @t2 @t4)) % 0.16/0.37 (define @t7 () (= @t6 @t5)) % 0.16/0.37 (define @t8 () (not @t7)) % 0.16/0.37 (define @t9 () (@list @t4)) % 0.16/0.37 (define @t10 () (lambda @t9 @t8)) % 0.16/0.37 (define @t11 () (_ tptp.cJ @t10)) % 0.16/0.37 (define @t12 () (_ @t1 @t11)) % 0.16/0.37 (define @t13 () (_ @t2 @t11)) % 0.16/0.37 (define @t14 () (= @t13 @t12)) % 0.16/0.37 (define @t15 () (@list @t2 @t1)) % 0.16/0.37 (define @t16 () (forall @t15 (=> @t14 @t3))) % 0.16/0.37 (define @t17 () (@var "P" (-> tptp.b Bool))) % 0.16/0.37 (define @t18 () (_ tptp.cJ @t17)) % 0.16/0.37 (define @t19 () (_ @t17 @t18)) % 0.16/0.37 (define @t20 () (_ @t17 @t4)) % 0.16/0.37 (define @t21 () (exists @t9 @t20)) % 0.16/0.37 (define @t22 () (=> @t21 @t19)) % 0.16/0.37 (define @t23 () (@list @t17)) % 0.16/0.37 (define @t24 () (forall @t23 @t22)) % 0.16/0.37 (define @t25 () (=> @t24 @t16)) % 0.16/0.37 (define @t26 () (not @t25)) % 0.16/0.37 (define @t27 () (_ @t1 @t4)) % 0.16/0.37 (define @t28 () (_ @t2 @t4)) % 0.16/0.37 (define @t29 () (= @t28 @t27)) % 0.16/0.37 (define @t30 () (not @t29)) % 0.16/0.37 (define @t31 () (lambda @t9 @t30)) % 0.16/0.37 (define @t32 () (tptp.cJ @t31)) % 0.16/0.37 (define @t33 () (_ @t1 @t32)) % 0.16/0.37 (define @t34 () (_ @t2 @t32)) % 0.16/0.37 (define @t35 () (not @t14)) % 0.16/0.37 (define @t36 () (or @t35 @t3)) % 0.16/0.37 (define @t37 () (tptp.cJ @t17)) % 0.16/0.37 (define @t38 () (_ @t17 @t37)) % 0.16/0.37 (define @t39 () (@var "BOUND_VARIABLE_7455" tptp.b)) % 0.16/0.37 (define @t40 () (not (_ @t17 @t39))) % 0.16/0.37 (define @t41 () (or @t40 @t38)) % 0.16/0.37 (define @t42 () (forall (@list @t17 @t39) @t41)) % 0.16/0.37 (define @t43 () (@list @t39)) % 0.16/0.37 (define @t44 () (forall @t43 @t41)) % 0.16/0.37 (define @t45 () (forall @t43 @t40)) % 0.16/0.37 (define @t46 () (or @t45 @t38)) % 0.16/0.37 (define @t47 () (_ @t17 @t4)) % 0.16/0.37 (define @t48 () (forall @t9 (not @t47))) % 0.16/0.37 (define @t49 () (or @t48 @t19)) % 0.16/0.37 (define @t50 () (not @t48)) % 0.16/0.37 (define @t51 () (not @t20)) % 0.16/0.37 (define @t52 () (forall @t9 @t51)) % 0.16/0.37 (define @t53 () (not @t52)) % 0.16/0.37 (define @t54 () (forall @t15 (or (not (= @t34 @t33)) @t3))) % 0.16/0.37 (define @t55 () (@quantifiers_skolemize @t54 1)) % 0.16/0.37 (define @t56 () (@quantifiers_skolemize @t54 0)) % 0.16/0.37 (define @t57 () (not (= (_ @t56 @t4) (_ @t55 @t4)))) % 0.16/0.37 (define @t58 () (lambda @t9 @t57)) % 0.16/0.37 (define @t59 () (@purify @t58)) % 0.16/0.37 (define @t60 () (_ @t59 @t4)) % 0.16/0.37 (define @t61 () (_ @t58 @t4)) % 0.16/0.37 (define @t62 () (= @t60 @t61)) % 0.16/0.37 (define @t63 () (forall @t9 @t62)) % 0.16/0.37 (define @t64 () (@const 0 tptp.b)) % 0.16/0.37 (define @t65 () (= @t56 @t55)) % 0.16/0.37 (define @t66 () (tptp.cJ @t59)) % 0.16/0.37 (define @t67 () (_ @t56 @t66)) % 0.16/0.37 (define @t68 () (_ @t55 @t66)) % 0.16/0.37 (define @t69 () (= @t68 @t67)) % 0.16/0.37 (define @t70 () (not @t69)) % 0.16/0.37 (define @t71 () (or @t70 @t65)) % 0.16/0.37 (define @t72 () (not @t71)) % 0.16/0.37 (define @t73 () (not @t54)) % 0.16/0.37 (define @t74 () (tptp.cJ @t58)) % 0.16/0.37 (define @t75 () (_ @t55 @t74)) % 0.16/0.37 (define @t76 () (_ @t56 @t74)) % 0.16/0.37 (define @t77 () (= @t76 @t75)) % 0.16/0.37 (define @t78 () (not @t77)) % 0.16/0.37 (define @t79 () (or @t78 @t65)) % 0.16/0.37 (define @t80 () (not @t79)) % 0.16/0.37 (define @t81 () (@list true)) % 0.16/0.37 (define @t82 () (@list @t71)) % 0.16/0.37 (define @t83 () (= (_ @t56 @t64) (_ @t55 @t64))) % 0.16/0.37 (define @t84 () (not @t83)) % 0.16/0.37 (define @t85 () (_ @t59 @t64)) % 0.16/0.37 (define @t86 () (= @t84 @t85)) % 0.16/0.37 (define @t87 () (not @t86)) % 0.16/0.37 (define @t88 () (@list true false)) % 0.16/0.37 (define @t89 () (_ @t59 @t66)) % 0.16/0.37 (define @t90 () (not (= @t67 @t68))) % 0.16/0.37 (define @t91 () (= @t90 @t89)) % 0.16/0.37 (define @t92 () (forall @t9 (= @t57 @t60))) % 0.16/0.37 (define @t93 () (= @t70 @t89)) % 0.16/0.37 (define @t94 () (not @t89)) % 0.16/0.37 (define @t95 () (not @t85)) % 0.16/0.37 (define @t96 () (or @t95 @t89)) % 0.16/0.37 (define @t97 () (not @t96)) % 0.16/0.37 (assume @p1 @t26) % 0.16/0.37 (assume @p2 true) % 0.16/0.37 (step @p3 :rule refl :args (@t3)) % 0.16/0.37 (step @p4 :rule refl :args ((_ @t1 @t11))) % 0.16/0.37 (step @p5 :rule refl :args ((tptp.cJ @t10))) % 0.16/0.37 (step @p6 :rule refl :args (@t27)) % 0.16/0.37 (step @p7 :rule refl :args (@t28)) % 0.16/0.37 (step @p8 :rule cong :premises (@p7 @p6) :args (@t29)) % 0.16/0.37 (step @p9 :rule cong :premises (@p8) :args (@t30)) % 0.16/0.37 (step @p10 :rule cong :premises (@p9) :args (@t31)) % 0.16/0.37 (step @p11 :rule cong :premises (@p10) :args (@t32)) % 0.16/0.37 (step @p12 :rule trans :premises (@p11 @p5)) % 0.16/0.37 (step @p13 :rule cong :premises (@p12) :args (@t33)) % 0.16/0.37 (step @p14 :rule trans :premises (@p13 @p4)) % 0.16/0.37 (step @p15 :rule refl :args (@t1)) % 0.16/0.37 (step @p16 :rule ho_cong :premises (@p15 @p12)) % 0.16/0.37 (step @p17 :rule cong :premises (@p16 @p14) :args ((= (_ @t1 @t32) @t33))) % 0.16/0.37 (step @p18 :rule symm :premises (@p17)) % 0.16/0.37 (step @p19 :rule refl :args (@t12)) % 0.16/0.37 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.16/0.37 (step @p21 :rule refl :args (tptp.cJ)) % 0.16/0.37 (step @p22 :rule ho_cong :premises (@p21 @p10)) % 0.16/0.37 (step @p23 :rule cong :premises (@p22 @p12) :args ((= (_ tptp.cJ @t31) @t32))) % 0.16/0.37 (step @p24 :rule symm :premises (@p23)) % 0.16/0.37 (step @p25 :rule refl :args (@t11)) % 0.16/0.37 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.16/0.37 (step @p27 :rule refl :args (@t5)) % 0.16/0.37 (step @p28 :rule cong :premises (@p27 @p6) :args ((= @t5 @t27))) % 0.16/0.37 (step @p29 :rule symm :premises (@p28)) % 0.16/0.37 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.16/0.37 (step @p31 :rule refl :args (@t6)) % 0.16/0.37 (step @p32 :rule cong :premises (@p31 @p7) :args ((= @t6 @t28))) % 0.16/0.37 (step @p33 :rule symm :premises (@p32)) % 0.16/0.37 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.16/0.37 (step @p35 :rule cong :premises (@p34 @p30) :args (@t7)) % 0.16/0.37 (step @p36 :rule cong :premises (@p35) :args (@t8)) % 0.16/0.37 (step @p37 :rule cong :premises (@p36) :args (@t10)) % 0.16/0.37 (step @p38 :rule ho_cong :premises (@p21 @p37)) % 0.16/0.37 (step @p39 :rule trans :premises (@p38 @p26)) % 0.16/0.37 (step @p40 :rule ho_cong :premises (@p15 @p39)) % 0.16/0.37 (step @p41 :rule trans :premises (@p40 @p20)) % 0.16/0.37 (step @p42 :rule refl :args ((_ @t2 @t11))) % 0.16/0.37 (step @p43 :rule cong :premises (@p12) :args (@t34)) % 0.16/0.37 (step @p44 :rule trans :premises (@p43 @p42)) % 0.16/0.37 (step @p45 :rule refl :args (@t2)) % 0.16/0.37 (step @p46 :rule ho_cong :premises (@p45 @p12)) % 0.16/0.37 (step @p47 :rule cong :premises (@p46 @p44) :args ((= (_ @t2 @t32) @t34))) % 0.16/0.37 (step @p48 :rule symm :premises (@p47)) % 0.16/0.37 (step @p49 :rule refl :args (@t13)) % 0.16/0.37 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.16/0.37 (step @p51 :rule ho_cong :premises (@p45 @p39)) % 0.16/0.37 (step @p52 :rule trans :premises (@p51 @p50)) % 0.16/0.37 (step @p53 :rule cong :premises (@p52 @p41) :args (@t14)) % 0.16/0.37 (step @p54 :rule cong :premises (@p53) :args (@t35)) % 0.16/0.37 (step @p55 :rule nary_cong :premises (@p54 @p3) :args (@t36)) % 0.16/0.37 (step @p56 :rule cong :premises (@p55) :args ((forall @t15 @t36))) % 0.16/0.37 (step @p57 :rule bool-impl-elim :args (@t14 @t3)) % 0.16/0.37 (step @p58 :rule cong :premises (@p57) :args (@t16)) % 0.16/0.37 (step @p59 :rule trans :premises (@p58 @p56)) % 0.16/0.37 (step @p60 :rule quant-merge-prenex :args ((= (forall @t23 @t44) @t42))) % 0.16/0.37 (step @p61 :rule refl :args (@t38)) % 0.16/0.37 (step @p62 :rule alpha_equiv :args (@t45 (@list @t39) (@list @t4))) % 0.16/0.37 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t46)) % 0.16/0.37 (step @p64 :rule quant-miniscope-or :args ((= @t44 @t46))) % 0.16/0.37 (step @p65 :rule trans :premises (@p64 @p63)) % 0.16/0.37 (step @p66 :rule symm :premises (@p65)) % 0.16/0.37 (step @p67 :rule cong :premises (@p66) :args ((forall @t23 (or @t48 @t38)))) % 0.16/0.37 (step @p68 :rule trans :premises (@p67 @p60)) % 0.16/0.37 (step @p69 :rule refl :args ((_ @t17 @t18))) % 0.16/0.37 (step @p70 :rule refl :args (@t37)) % 0.16/0.37 (step @p71 :rule cong :premises (@p70) :args (@t38)) % 0.16/0.37 (step @p72 :rule trans :premises (@p71 @p69)) % 0.16/0.37 (step @p73 :rule refl :args (@t17)) % 0.16/0.37 (step @p74 :rule ho_cong :premises (@p73 @p70)) % 0.16/0.37 (step @p75 :rule cong :premises (@p74 @p72) :args ((= (_ @t17 @t37) @t38))) % 0.16/0.37 (step @p76 :rule symm :premises (@p75)) % 0.16/0.37 (step @p77 :rule refl :args (@t19)) % 0.16/0.37 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.16/0.37 (step @p79 :rule refl :args (@t18)) % 0.16/0.37 (step @p80 :rule cong :premises (@p79 @p70) :args ((= @t18 @t37))) % 0.16/0.37 (step @p81 :rule symm :premises (@p80)) % 0.16/0.37 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.16/0.37 (step @p83 :rule ho_cong :premises (@p73 @p82)) % 0.16/0.37 (step @p84 :rule trans :premises (@p83 @p78)) % 0.16/0.37 (step @p85 :rule refl :args (@t48)) % 0.16/0.37 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t49)) % 0.16/0.37 (step @p87 :rule cong :premises (@p86) :args ((forall @t23 @t49))) % 0.16/0.37 (step @p88 :rule trans :premises (@p87 @p68)) % 0.16/0.37 (step @p89 :rule bool-double-not-elim :args (@t48)) % 0.16/0.37 (step @p90 :rule nary_cong :premises (@p89 @p77) :args ((or (not @t50) @t19))) % 0.16/0.37 (step @p91 :rule bool-impl-elim :args (@t50 @t19)) % 0.16/0.37 (step @p92 :rule trans :premises (@p91 @p90)) % 0.16/0.37 (step @p93 :rule cong :premises (@p92) :args ((forall @t23 (=> @t50 @t19)))) % 0.16/0.37 (step @p94 :rule trans :premises (@p93 @p88)) % 0.16/0.37 (step @p95 :rule refl :args (@t19)) % 0.16/0.37 (step @p96 :rule refl :args (@t47)) % 0.16/0.37 (step @p97 :rule refl :args (@t20)) % 0.16/0.37 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t20 @t47))) % 0.16/0.37 (step @p99 :rule symm :premises (@p98)) % 0.16/0.37 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.16/0.37 (step @p101 :rule cong :premises (@p100) :args (@t51)) % 0.16/0.37 (step @p102 :rule cong :premises (@p101) :args (@t52)) % 0.16/0.37 (step @p103 :rule cong :premises (@p102) :args (@t53)) % 0.16/0.37 (step @p104 :rule exists-elim :args ((= @t21 @t53))) % 0.16/0.37 (step @p105 :rule trans :premises (@p104 @p103)) % 0.16/0.37 (step @p106 :rule cong :premises (@p105 @p95) :args (@t22)) % 0.16/0.37 (step @p107 :rule cong :premises (@p106) :args (@t24)) % 0.16/0.37 (step @p108 :rule trans :premises (@p107 @p94)) % 0.16/0.37 (step @p109 :rule cong :premises (@p108 @p59) :args (@t25)) % 0.16/0.37 (step @p110 :rule cong :premises (@p109) :args (@t26)) % 0.16/0.37 (step @p111 :rule eq_resolve :premises (@p1 @p110)) % 0.16/0.37 (step @p112 :rule not_implies_elim1 :premises (@p111)) % 0.16/0.37 (step @p113 :rule eq-symm :args (@t60 @t57)) % 0.16/0.37 (step @p114 :rule beta-reduce :args ((= @t61 @t57))) % 0.16/0.37 (step @p115 :rule refl :args (@t60)) % 0.16/0.37 (step @p116 :rule cong :premises (@p115 @p114) :args (@t62)) % 0.16/0.37 (step @p117 :rule trans :premises (@p116 @p113)) % 0.16/0.37 (step @p118 :rule cong :premises (@p117) :args (@t63)) % 0.16/0.37 (step @p119 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.16/0.37 (step @p120 :rule eq-refl :args (@t61)) % 0.16/0.37 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 (= @t61 @t61)))) % 0.16/0.37 (step @p122 :rule trans :premises (@p121 @p119)) % 0.16/0.37 (step @p123 :rule refl :args (@t61)) % 0.16/0.37 (step @p124 :rule refl :args (@t4)) % 0.16/0.37 (step @p125 :rule skolem_intro :args (@t59)) % 0.16/0.37 (step @p126 :rule ho_cong :premises (@p125 @p124)) % 0.16/0.37 (step @p127 :rule cong :premises (@p126 @p123) :args (@t62)) % 0.16/0.37 (step @p128 :rule cong :premises (@p127) :args (@t63)) % 0.16/0.37 (step @p129 :rule trans :premises (@p128 @p122)) % 0.16/0.37 (step @p130 :rule true_elim :premises (@p129)) % 0.16/0.37 (step @p131 :rule eq_resolve :premises (@p130 @p118)) % 0.16/0.37 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t64))) % 0.16/0.37 (step @p133 :rule not_implies_elim2 :premises (@p111)) % 0.16/0.37 (step @p134 :rule refl :args (@t72)) % 0.16/0.37 (step @p135 :rule bool-double-not-elim :args (@t54)) % 0.16/0.37 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t73) @t72))) % 0.16/0.37 (step @p137 :rule refl :args (@t65)) % 0.16/0.37 (step @p138 :rule eq-symm :args (@t67 @t68)) % 0.16/0.37 (step @p139 :rule eq-refl :args (@t58)) % 0.16/0.37 (step @p140 :rule refl :args (@t58)) % 0.16/0.37 (step @p141 :rule cong :premises (@p140 @p125) :args ((= @t58 @t59))) % 0.16/0.37 (step @p142 :rule trans :premises (@p141 @p139)) % 0.16/0.37 (step @p143 :rule true_elim :premises (@p142)) % 0.16/0.37 (step @p144 :rule cong :premises (@p143) :args (@t74)) % 0.16/0.37 (step @p145 :rule cong :premises (@p144) :args (@t75)) % 0.16/0.37 (step @p146 :rule cong :premises (@p144) :args (@t76)) % 0.16/0.37 (step @p147 :rule cong :premises (@p146 @p145) :args (@t77)) % 0.16/0.37 (step @p148 :rule trans :premises (@p147 @p138)) % 0.16/0.37 (step @p149 :rule cong :premises (@p148) :args (@t78)) % 0.16/0.37 (step @p150 :rule nary_cong :premises (@p149 @p137) :args (@t79)) % 0.16/0.37 (step @p151 :rule cong :premises (@p150) :args (@t80)) % 0.16/0.37 (step @p152 :rule refl :args (@t73)) % 0.16/0.37 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t73 @t80))) % 0.16/0.37 (assume-push @p205 @t73) % 0.16/0.37 (step @p155 :rule skolemize :premises (@p133)) % 0.16/0.37 (step-pop @p206 :rule scope :premises (@p155)) % 0.16/0.37 (step @p156 :rule process_scope :premises (@p206) :args (@t80)) % 0.16/0.37 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 0.16/0.37 (step @p159 :rule implies_elim :premises (@p158)) % 0.16/0.37 (step @p160 :rule eq_resolve :premises (@p159 @p136)) % 0.16/0.37 (step @p161 :rule chain_m_resolution :premises (@p160 @p133) :args (@t72 @t81 (@list @t54))) % 0.16/0.37 (step @p162 :rule cnf_or_neg :args (@t71 1)) % 0.16/0.37 (step @p163 :rule chain_m_resolution :premises (@p162 @p161) :args ((not @t65) @t81 @t82)) % 0.16/0.37 ; WARNING: add trust step for TRUST % 0.16/0.37 ; trust TRUST THEORY_LEMMA % 0.16/0.37 (step @p164 :rule trust :premises () :args ((or @t65 @t84))) % 0.16/0.37 (step @p165 :rule chain_m_resolution :premises (@p164 @p163) :args (@t84 @t81 (@list @t65))) % 0.16/0.37 (step @p166 :rule refl :args (@t85)) % 0.16/0.37 (step @p167 :rule bool-double-not-elim :args (@t83)) % 0.16/0.37 (step @p168 :rule refl :args (@t87)) % 0.16/0.37 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args ((or @t87 (not @t84) @t85))) % 0.16/0.37 (step @p170 :rule cnf_equiv_pos1 :args (@t86)) % 0.16/0.37 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.16/0.37 (step @p172 :rule reordering :premises (@p171) :args ((or @t83 @t85 @t87))) % 0.16/0.37 (step @p173 :rule chain_m_resolution :premises (@p172 @p165 @p132) :args (@t85 @t88 (@list @t83 @t86))) % 0.16/0.37 (step @p174 :rule refl :args (@t89)) % 0.16/0.37 (step @p175 :rule cong :premises (@p138) :args (@t90)) % 0.16/0.37 (step @p176 :rule cong :premises (@p175 @p174) :args (@t91)) % 0.16/0.37 (step @p177 :rule refl :args (@t92)) % 0.16/0.37 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t92 @t91))) % 0.16/0.37 (assume-push @p207 @t92) % 0.16/0.37 (step @p180 :rule instantiate :premises (@p131) :args ((@list @t66))) % 0.16/0.37 (step-pop @p208 :rule scope :premises (@p180)) % 0.16/0.37 (step @p181 :rule process_scope :premises (@p208) :args (@t91)) % 0.16/0.37 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 0.16/0.37 (step @p184 :rule implies_elim :premises (@p183)) % 0.16/0.37 (step @p185 :rule chain_m_resolution :premises (@p184 @p131) :args (@t93 (@list false) (@list @t92))) % 0.16/0.37 (step @p186 :rule bool-double-not-elim :args (@t69)) % 0.16/0.37 (step @p187 :rule refl :args (@t71)) % 0.16/0.37 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t71 (not @t70)))) % 0.16/0.37 (step @p189 :rule cnf_or_neg :args (@t71 0)) % 0.16/0.37 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.16/0.37 (step @p191 :rule reordering :premises (@p190) :args ((or @t69 @t71))) % 0.16/0.37 (step @p192 :rule chain_m_resolution :premises (@p191 @p161) :args (@t69 @t81 @t82)) % 0.16/0.37 (step @p193 :rule cnf_equiv_pos2 :args (@t93)) % 0.16/0.37 (step @p194 :rule reordering :premises (@p193) :args ((or @t70 @t94 (not @t93)))) % 0.16/0.37 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p185) :args (@t94 (@list false false) (@list @t69 @t93))) % 0.16/0.37 (step @p196 :rule cnf_or_pos :args (@t96)) % 0.16/0.37 (step @p197 :rule reordering :premises (@p196) :args ((or @t89 @t95 @t97))) % 0.16/0.37 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p173) :args (@t97 @t88 (@list @t89 @t85))) % 0.16/0.37 (assume-push @p209 @t42) % 0.16/0.37 (step @p200 :rule instantiate :premises (@p112) :args ((@list @t59 @t64))) % 0.16/0.37 (step-pop @p210 :rule scope :premises (@p200)) % 0.16/0.37 (step @p201 :rule process_scope :premises (@p210) :args (@t96)) % 0.16/0.37 (step @p203 :rule implies_elim :premises (@p201)) % 0.16/0.37 (step @p204 false :rule chain_m_resolution :premises (@p203 @p198 @p112) :args (false @t88 (@list @t96 @t42))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------