%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG001^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:04:54 AM UTC 2026 % Result : Theorem 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG001^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n014.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.36 % CPULimit : 300 % 0.19/0.36 % WCLimit : 300 % 0.19/0.36 % DateTime : Wed Jun 3 01:35:58 EDT 2026 % 0.19/0.36 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.40/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.58 % SZS status Theorem % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort tptp.g 0) % 0.40/0.58 (declare-sort tptp.b 0) % 0.40/0.58 (declare-sort tptp.a 0) % 0.40/0.58 (define @t1 () (@var "Xy" tptp.g)) % 0.40/0.58 (define @t2 () (@var "Xh1" (-> tptp.g tptp.b))) % 0.40/0.58 (define @t3 () (_ @t2 @t1)) % 0.40/0.58 (define @t4 () (@var "Xh2" (-> tptp.b tptp.a))) % 0.40/0.58 (define @t5 () (_ @t4 @t3)) % 0.40/0.58 (define @t6 () (@var "Xx" tptp.g)) % 0.40/0.58 (define @t7 () (_ @t2 @t6)) % 0.40/0.58 (define @t8 () (_ @t4 @t7)) % 0.40/0.58 (define @t9 () (@var "Xf3" (-> tptp.a tptp.a tptp.a))) % 0.40/0.58 (define @t10 () (_ (_ @t9 @t8) @t5)) % 0.40/0.58 (define @t11 () (@var "Xf1" (-> tptp.g tptp.g tptp.g))) % 0.40/0.58 (define @t12 () (_ (_ @t11 @t6) @t1)) % 0.40/0.58 (define @t13 () (_ @t2 @t12)) % 0.40/0.58 (define @t14 () (_ @t4 @t13)) % 0.40/0.58 (define @t15 () (= @t14 @t10)) % 0.40/0.58 (define @t16 () (@list @t6 @t1)) % 0.40/0.58 (define @t17 () (forall @t16 @t15)) % 0.40/0.58 (define @t18 () (@var "Xy" tptp.b)) % 0.40/0.58 (define @t19 () (_ @t4 @t18)) % 0.40/0.58 (define @t20 () (@var "Xx" tptp.b)) % 0.40/0.58 (define @t21 () (_ @t4 @t20)) % 0.40/0.58 (define @t22 () (_ (_ @t9 @t21) @t19)) % 0.40/0.58 (define @t23 () (@var "Xf2" (-> tptp.b tptp.b tptp.b))) % 0.40/0.58 (define @t24 () (_ (_ @t23 @t20) @t18)) % 0.40/0.58 (define @t25 () (_ @t4 @t24)) % 0.40/0.58 (define @t26 () (= @t25 @t22)) % 0.40/0.58 (define @t27 () (@list @t20 @t18)) % 0.40/0.58 (define @t28 () (forall @t27 @t26)) % 0.40/0.58 (define @t29 () (_ (_ @t23 @t7) @t3)) % 0.40/0.58 (define @t30 () (= @t13 @t29)) % 0.40/0.58 (define @t31 () (forall @t16 @t30)) % 0.40/0.58 (define @t32 () (and @t31 @t28)) % 0.40/0.58 (define @t33 () (=> @t32 @t17)) % 0.40/0.58 (define @t34 () (@list @t2 @t4 @t11 @t23 @t9)) % 0.40/0.58 (define @t35 () (forall @t34 @t33)) % 0.40/0.58 (define @t36 () (not @t35)) % 0.40/0.58 (define @t37 () (@var "BOUND_VARIABLE_7500" tptp.g)) % 0.40/0.58 (define @t38 () (@var "BOUND_VARIABLE_7498" tptp.g)) % 0.40/0.58 (define @t39 () (= (_ @t4 (_ @t2 (_ @t11 @t38 @t37))) (_ @t9 (_ @t4 (_ @t2 @t38)) (_ @t4 (_ @t2 @t37))))) % 0.40/0.58 (define @t40 () (_ @t4 @t18)) % 0.40/0.58 (define @t41 () (_ @t4 @t20)) % 0.40/0.58 (define @t42 () (_ @t9 @t41 @t40)) % 0.40/0.58 (define @t43 () (_ @t23 @t20 @t18)) % 0.40/0.58 (define @t44 () (_ @t4 @t43)) % 0.40/0.58 (define @t45 () (forall @t27 (= @t44 @t42))) % 0.40/0.58 (define @t46 () (not @t45)) % 0.40/0.58 (define @t47 () (_ @t2 @t1)) % 0.40/0.58 (define @t48 () (_ @t2 @t6)) % 0.40/0.58 (define @t49 () (_ @t23 @t48 @t47)) % 0.40/0.58 (define @t50 () (_ @t11 @t6 @t1)) % 0.40/0.58 (define @t51 () (_ @t2 @t50)) % 0.40/0.58 (define @t52 () (forall @t16 (= @t51 @t49))) % 0.40/0.58 (define @t53 () (not @t52)) % 0.40/0.58 (define @t54 () (or @t53 @t46 @t39)) % 0.40/0.58 (define @t55 () (forall (@list @t2 @t4 @t11 @t23 @t9 @t38 @t37) @t54)) % 0.40/0.58 (define @t56 () (@list @t38 @t37)) % 0.40/0.58 (define @t57 () (forall @t56 @t54)) % 0.40/0.58 (define @t58 () (forall @t56 @t39)) % 0.40/0.58 (define @t59 () (or @t53 @t46 @t58)) % 0.40/0.58 (define @t60 () (_ @t4 @t47)) % 0.40/0.58 (define @t61 () (_ @t4 @t48)) % 0.40/0.58 (define @t62 () (_ @t9 @t61 @t60)) % 0.40/0.58 (define @t63 () (_ @t4 @t51)) % 0.40/0.58 (define @t64 () (forall @t16 (= @t63 @t62))) % 0.40/0.58 (define @t65 () (or @t53 @t46 @t64)) % 0.40/0.58 (define @t66 () (and @t52 @t45)) % 0.40/0.58 (define @t67 () (@quantifiers_skolemize @t55 6)) % 0.40/0.58 (define @t68 () (@quantifiers_skolemize @t55 0)) % 0.40/0.58 (define @t69 () (_ @t68 @t67)) % 0.40/0.58 (define @t70 () (@quantifiers_skolemize @t55 1)) % 0.40/0.58 (define @t71 () (@quantifiers_skolemize @t55 5)) % 0.40/0.58 (define @t72 () (_ @t68 @t71)) % 0.40/0.58 (define @t73 () (@quantifiers_skolemize @t55 4)) % 0.40/0.58 (define @t74 () (_ @t73 (_ @t70 @t72) (_ @t70 @t69))) % 0.40/0.58 (define @t75 () (@quantifiers_skolemize @t55 2)) % 0.40/0.58 (define @t76 () (_ @t68 (_ @t75 @t71 @t67))) % 0.40/0.58 (define @t77 () (_ @t70 @t76)) % 0.40/0.58 (define @t78 () (= @t77 @t74)) % 0.40/0.58 (define @t79 () (@quantifiers_skolemize @t55 3)) % 0.40/0.58 (define @t80 () (forall @t27 (= (_ @t70 (_ @t79 @t20 @t18)) (_ @t73 (_ @t70 @t20) (_ @t70 @t18))))) % 0.40/0.58 (define @t81 () (not @t80)) % 0.40/0.58 (define @t82 () (forall @t16 (= (_ @t68 (_ @t75 @t6 @t1)) (_ @t79 (_ @t68 @t6) (_ @t68 @t1))))) % 0.40/0.58 (define @t83 () (not @t82)) % 0.40/0.58 (define @t84 () (or @t83 @t81 @t78)) % 0.40/0.58 (define @t85 () (@list true)) % 0.40/0.58 (define @t86 () (@list @t84)) % 0.40/0.58 (define @t87 () (_ @t79 @t72 @t69)) % 0.40/0.58 (define @t88 () (_ @t70 @t87)) % 0.40/0.58 (define @t89 () (= @t88 @t74)) % 0.40/0.58 (define @t90 () (@list @t72 @t69)) % 0.40/0.58 (define @t91 () (= @t74 @t88)) % 0.40/0.58 (define @t92 () (= @t76 @t87)) % 0.40/0.58 (define @t93 () (and @t92 @t91)) % 0.40/0.58 (assume @p1 @t36) % 0.40/0.58 (assume @p2 true) % 0.40/0.58 (step @p3 :rule quant-merge-prenex :args ((= (forall @t34 @t57) @t55))) % 0.40/0.58 (step @p4 :rule alpha_equiv :args (@t58 (@list @t38 @t37) (@list @t6 @t1))) % 0.40/0.58 (step @p5 :rule refl :args (@t46)) % 0.40/0.58 (step @p6 :rule refl :args (@t53)) % 0.40/0.58 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t59)) % 0.40/0.58 (step @p8 :rule quant-miniscope-or :args ((= @t57 @t59))) % 0.40/0.58 (step @p9 :rule trans :premises (@p8 @p7)) % 0.40/0.58 (step @p10 :rule symm :premises (@p9)) % 0.40/0.58 (step @p11 :rule cong :premises (@p10) :args ((forall @t34 @t65))) % 0.40/0.58 (step @p12 :rule trans :premises (@p11 @p3)) % 0.40/0.58 (step @p13 :rule aci_norm :args ((= (or (or @t53 @t46) @t64) @t65))) % 0.40/0.58 (step @p14 :rule refl :args (@t64)) % 0.40/0.58 (step @p15 :rule bool-and-de-morgan :args (@t52 @t45 true)) % 0.40/0.58 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t66) @t64))) % 0.40/0.58 (step @p17 :rule trans :premises (@p16 @p13)) % 0.40/0.58 (step @p18 :rule bool-impl-elim :args (@t66 @t64)) % 0.40/0.58 (step @p19 :rule trans :premises (@p18 @p17)) % 0.40/0.58 (step @p20 :rule cong :premises (@p19) :args ((forall @t34 (=> @t66 @t64)))) % 0.40/0.58 (step @p21 :rule trans :premises (@p20 @p12)) % 0.40/0.58 (step @p22 :rule refl :args ((_ @t9 @t8 @t5))) % 0.40/0.58 (step @p23 :rule refl :args ((_ @t4 @t3))) % 0.40/0.58 (step @p24 :rule refl :args (@t47)) % 0.40/0.58 (step @p25 :rule cong :premises (@p24) :args (@t60)) % 0.40/0.58 (step @p26 :rule trans :premises (@p25 @p23)) % 0.40/0.58 (step @p27 :rule refl :args ((_ @t4 @t7))) % 0.40/0.58 (step @p28 :rule refl :args (@t48)) % 0.40/0.58 (step @p29 :rule cong :premises (@p28) :args (@t61)) % 0.40/0.58 (step @p30 :rule trans :premises (@p29 @p27)) % 0.40/0.58 (step @p31 :rule cong :premises (@p30 @p26) :args (@t62)) % 0.40/0.58 (step @p32 :rule trans :premises (@p31 @p22)) % 0.40/0.58 (step @p33 :rule refl :args (@t9)) % 0.40/0.58 (step @p34 :rule ho_cong :premises (@p33 @p30)) % 0.40/0.58 (step @p35 :rule ho_cong :premises (@p34 @p26)) % 0.40/0.58 (step @p36 :rule cong :premises (@p35 @p32) :args ((= (_ (_ @t9 @t61) @t60) @t62))) % 0.40/0.58 (step @p37 :rule symm :premises (@p36)) % 0.40/0.58 (step @p38 :rule refl :args (@t10)) % 0.40/0.58 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.40/0.58 (step @p40 :rule refl :args (@t4)) % 0.40/0.58 (step @p41 :rule ho_cong :premises (@p40 @p24)) % 0.40/0.58 (step @p42 :rule cong :premises (@p41 @p26) :args ((= (_ @t4 @t47) @t60))) % 0.40/0.58 (step @p43 :rule symm :premises (@p42)) % 0.40/0.58 (step @p44 :rule refl :args (@t5)) % 0.40/0.58 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.40/0.58 (step @p46 :rule refl :args (@t3)) % 0.40/0.58 (step @p47 :rule cong :premises (@p46 @p24) :args ((= @t3 @t47))) % 0.40/0.58 (step @p48 :rule symm :premises (@p47)) % 0.40/0.58 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.40/0.58 (step @p50 :rule ho_cong :premises (@p40 @p49)) % 0.40/0.58 (step @p51 :rule trans :premises (@p50 @p45)) % 0.40/0.58 (step @p52 :rule ho_cong :premises (@p40 @p28)) % 0.40/0.58 (step @p53 :rule cong :premises (@p52 @p30) :args ((= (_ @t4 @t48) @t61))) % 0.40/0.58 (step @p54 :rule symm :premises (@p53)) % 0.40/0.58 (step @p55 :rule refl :args (@t8)) % 0.40/0.58 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.40/0.58 (step @p57 :rule refl :args (@t7)) % 0.40/0.58 (step @p58 :rule cong :premises (@p57 @p28) :args ((= @t7 @t48))) % 0.40/0.58 (step @p59 :rule symm :premises (@p58)) % 0.40/0.58 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.40/0.58 (step @p61 :rule ho_cong :premises (@p40 @p60)) % 0.40/0.58 (step @p62 :rule trans :premises (@p61 @p56)) % 0.40/0.58 (step @p63 :rule ho_cong :premises (@p33 @p62)) % 0.40/0.58 (step @p64 :rule ho_cong :premises (@p63 @p51)) % 0.40/0.58 (step @p65 :rule trans :premises (@p64 @p39)) % 0.40/0.58 (step @p66 :rule refl :args ((_ @t4 @t13))) % 0.40/0.58 (step @p67 :rule refl :args ((_ @t2 @t12))) % 0.40/0.58 (step @p68 :rule refl :args (@t50)) % 0.40/0.58 (step @p69 :rule cong :premises (@p68) :args (@t51)) % 0.40/0.58 (step @p70 :rule trans :premises (@p69 @p67)) % 0.40/0.58 (step @p71 :rule cong :premises (@p70) :args (@t63)) % 0.40/0.58 (step @p72 :rule trans :premises (@p71 @p66)) % 0.40/0.58 (step @p73 :rule ho_cong :premises (@p40 @p70)) % 0.40/0.58 (step @p74 :rule cong :premises (@p73 @p72) :args ((= (_ @t4 @t51) @t63))) % 0.40/0.58 (step @p75 :rule symm :premises (@p74)) % 0.40/0.58 (step @p76 :rule refl :args (@t14)) % 0.40/0.58 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.40/0.58 (step @p78 :rule refl :args (@t2)) % 0.40/0.58 (step @p79 :rule ho_cong :premises (@p78 @p68)) % 0.40/0.58 (step @p80 :rule cong :premises (@p79 @p70) :args ((= (_ @t2 @t50) @t51))) % 0.40/0.58 (step @p81 :rule symm :premises (@p80)) % 0.40/0.58 (step @p82 :rule refl :args (@t13)) % 0.40/0.58 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.40/0.58 (step @p84 :rule refl :args (@t12)) % 0.40/0.58 (step @p85 :rule cong :premises (@p84 @p68) :args ((= @t12 @t50))) % 0.40/0.58 (step @p86 :rule symm :premises (@p85)) % 0.40/0.58 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.40/0.58 (step @p88 :rule ho_cong :premises (@p78 @p87)) % 0.40/0.58 (step @p89 :rule trans :premises (@p88 @p83)) % 0.40/0.58 (step @p90 :rule ho_cong :premises (@p40 @p89)) % 0.40/0.58 (step @p91 :rule trans :premises (@p90 @p77)) % 0.40/0.58 (step @p92 :rule cong :premises (@p91 @p65) :args (@t15)) % 0.40/0.58 (step @p93 :rule cong :premises (@p92) :args (@t17)) % 0.40/0.58 (step @p94 :rule refl :args ((_ @t9 @t21 @t19))) % 0.40/0.58 (step @p95 :rule refl :args (@t40)) % 0.40/0.58 (step @p96 :rule refl :args (@t41)) % 0.40/0.58 (step @p97 :rule cong :premises (@p96 @p95) :args (@t42)) % 0.40/0.58 (step @p98 :rule trans :premises (@p97 @p94)) % 0.40/0.58 (step @p99 :rule ho_cong :premises (@p33 @p96)) % 0.40/0.58 (step @p100 :rule ho_cong :premises (@p99 @p95)) % 0.40/0.58 (step @p101 :rule cong :premises (@p100 @p98) :args ((= (_ (_ @t9 @t41) @t40) @t42))) % 0.40/0.58 (step @p102 :rule symm :premises (@p101)) % 0.40/0.58 (step @p103 :rule refl :args (@t22)) % 0.40/0.58 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.40/0.58 (step @p105 :rule refl :args (@t19)) % 0.40/0.58 (step @p106 :rule cong :premises (@p105 @p95) :args ((= @t19 @t40))) % 0.40/0.58 (step @p107 :rule symm :premises (@p106)) % 0.40/0.58 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.40/0.58 (step @p109 :rule refl :args (@t21)) % 0.40/0.58 (step @p110 :rule cong :premises (@p109 @p96) :args ((= @t21 @t41))) % 0.40/0.58 (step @p111 :rule symm :premises (@p110)) % 0.40/0.58 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.40/0.58 (step @p113 :rule ho_cong :premises (@p33 @p112)) % 0.40/0.58 (step @p114 :rule ho_cong :premises (@p113 @p108)) % 0.40/0.58 (step @p115 :rule trans :premises (@p114 @p104)) % 0.40/0.58 (step @p116 :rule refl :args ((_ @t4 @t24))) % 0.40/0.58 (step @p117 :rule refl :args (@t43)) % 0.40/0.58 (step @p118 :rule cong :premises (@p117) :args (@t44)) % 0.40/0.58 (step @p119 :rule trans :premises (@p118 @p116)) % 0.40/0.58 (step @p120 :rule ho_cong :premises (@p40 @p117)) % 0.40/0.58 (step @p121 :rule cong :premises (@p120 @p119) :args ((= (_ @t4 @t43) @t44))) % 0.40/0.58 (step @p122 :rule symm :premises (@p121)) % 0.40/0.58 (step @p123 :rule refl :args (@t25)) % 0.40/0.58 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.40/0.58 (step @p125 :rule refl :args (@t24)) % 0.40/0.58 (step @p126 :rule cong :premises (@p125 @p117) :args ((= @t24 @t43))) % 0.40/0.58 (step @p127 :rule symm :premises (@p126)) % 0.40/0.58 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.40/0.58 (step @p129 :rule ho_cong :premises (@p40 @p128)) % 0.40/0.58 (step @p130 :rule trans :premises (@p129 @p124)) % 0.40/0.58 (step @p131 :rule cong :premises (@p130 @p115) :args (@t26)) % 0.40/0.58 (step @p132 :rule cong :premises (@p131) :args (@t28)) % 0.40/0.58 (step @p133 :rule refl :args ((_ @t23 @t7 @t3))) % 0.40/0.58 (step @p134 :rule cong :premises (@p28 @p24) :args (@t49)) % 0.40/0.58 (step @p135 :rule trans :premises (@p134 @p133)) % 0.40/0.58 (step @p136 :rule refl :args (@t23)) % 0.40/0.58 (step @p137 :rule ho_cong :premises (@p136 @p28)) % 0.40/0.58 (step @p138 :rule ho_cong :premises (@p137 @p24)) % 0.40/0.58 (step @p139 :rule cong :premises (@p138 @p135) :args ((= (_ (_ @t23 @t48) @t47) @t49))) % 0.40/0.58 (step @p140 :rule symm :premises (@p139)) % 0.40/0.58 (step @p141 :rule refl :args (@t29)) % 0.40/0.58 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.40/0.58 (step @p143 :rule ho_cong :premises (@p136 @p60)) % 0.40/0.58 (step @p144 :rule ho_cong :premises (@p143 @p49)) % 0.40/0.58 (step @p145 :rule trans :premises (@p144 @p142)) % 0.40/0.58 (step @p146 :rule cong :premises (@p89 @p145) :args (@t30)) % 0.40/0.58 (step @p147 :rule cong :premises (@p146) :args (@t31)) % 0.40/0.58 (step @p148 :rule nary_cong :premises (@p147 @p132) :args (@t32)) % 0.40/0.58 (step @p149 :rule cong :premises (@p148 @p93) :args (@t33)) % 0.40/0.58 (step @p150 :rule cong :premises (@p149) :args (@t35)) % 0.40/0.58 (step @p151 :rule trans :premises (@p150 @p21)) % 0.40/0.58 (step @p152 :rule cong :premises (@p151) :args (@t36)) % 0.40/0.58 (step @p153 :rule eq_resolve :premises (@p1 @p152)) % 0.40/0.58 (step @p154 :rule skolemize :premises (@p153)) % 0.40/0.58 (step @p155 :rule cnf_or_neg :args (@t84 2)) % 0.40/0.58 (step @p156 :rule chain_m_resolution :premises (@p155 @p154) :args ((not @t78) @t85 @t86)) % 0.40/0.58 (step @p157 :rule bool-double-not-elim :args (@t82)) % 0.40/0.58 (step @p158 :rule refl :args (@t84)) % 0.40/0.58 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t84 (not @t83)))) % 0.40/0.58 (step @p160 :rule cnf_or_neg :args (@t84 0)) % 0.40/0.58 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.40/0.58 (step @p162 :rule reordering :premises (@p161) :args ((or @t82 @t84))) % 0.40/0.58 (step @p163 :rule chain_m_resolution :premises (@p162 @p154) :args (@t82 @t85 @t86)) % 0.40/0.58 (step @p164 :rule instantiate :premises (@p163) :args ((@list @t71 @t67))) % 0.40/0.58 (step @p165 :rule bool-double-not-elim :args (@t80)) % 0.40/0.58 (step @p166 :rule nary_cong :premises (@p158 @p165) :args ((or @t84 (not @t81)))) % 0.40/0.59 (step @p167 :rule cnf_or_neg :args (@t84 1)) % 0.40/0.59 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.40/0.59 (step @p169 :rule reordering :premises (@p168) :args ((or @t80 @t84))) % 0.40/0.59 (step @p170 :rule chain_m_resolution :premises (@p169 @p154) :args (@t80 @t85 @t86)) % 0.40/0.59 (step @p171 :rule eq-symm :args (@t88 @t74)) % 0.40/0.59 (step @p172 :rule refl :args (@t80)) % 0.40/0.59 (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t80 @t89))) % 0.40/0.59 (assume-push @p193 @t80) % 0.40/0.59 (step @p175 :rule instantiate :premises (@p170) :args (@t90)) % 0.40/0.59 (step-pop @p194 :rule scope :premises (@p175)) % 0.40/0.59 (step @p176 :rule process_scope :premises (@p194) :args (@t89)) % 0.40/0.59 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 0.40/0.59 (step @p179 :rule implies_elim :premises (@p178)) % 0.40/0.59 (step @p180 :rule chain_m_resolution :premises (@p179 @p170) :args (@t91 (@list false) (@list @t80))) % 0.40/0.59 (assume-push @p195 @t92) % 0.40/0.59 (assume-push @p196 @t91) % 0.40/0.59 (step @p175 :rule instantiate :premises (@p170) :args (@t90)) % 0.40/0.59 (step @p183 :rule cong :premises (@p164) :args (@t77)) % 0.40/0.59 (step @p184 :rule trans :premises (@p183 @p175)) % 0.40/0.59 (step-pop @p197 :rule scope :premises (@p184)) % 0.40/0.59 (step-pop @p198 :rule scope :premises (@p197)) % 0.40/0.59 (step @p185 :rule process_scope :premises (@p198) :args (@t78)) % 0.40/0.59 (step @p188 :rule implies_elim :premises (@p185)) % 0.40/0.59 (step @p189 :rule cnf_and_neg :args (@t93)) % 0.40/0.59 (step @p190 :rule resolution :premises (@p189 @p188) :args (true @t93)) % 0.40/0.59 (step @p191 :rule reordering :premises (@p190) :args ((or @t78 (not @t92) (not @t91)))) % 0.40/0.59 (step @p192 false :rule chain_m_resolution :premises (@p191 @p180 @p164 @p156) :args (false (@list false false true) (@list @t91 @t92 @t78))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------