%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG281^5 : 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 : n021.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 08:05:44 AM UTC 2026 % Result : Theorem 0.86s 1.12s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG281^5 : 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 % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:58:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.86/1.12 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.86/1.12 % SZS status Theorem % 0.86/1.12 % SZS output start Proof % 0.86/1.12 ( % 0.86/1.12 (declare-sort $$unsorted 0) % 0.86/1.12 (declare-const tptp.cP (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.cJ (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.cE $$unsorted) % 0.86/1.12 (define @t1 () (@var "X" $$unsorted)) % 0.86/1.12 (define @t2 () (_ tptp.cJ @t1)) % 0.86/1.12 (define @t3 () (_ tptp.cP @t1)) % 0.86/1.12 (define @t4 () (_ @t3 @t2)) % 0.86/1.12 (define @t5 () (@list @t1)) % 0.86/1.12 (define @t6 () (forall @t5 (= @t4 tptp.cE))) % 0.86/1.12 (define @t7 () (@var "Xy" $$unsorted)) % 0.86/1.12 (define @t8 () (_ tptp.cJ @t7)) % 0.86/1.12 (define @t9 () (_ (_ tptp.cP @t8) @t7)) % 0.86/1.12 (define @t10 () (@list @t7)) % 0.86/1.12 (define @t11 () (forall @t10 (= @t9 tptp.cE))) % 0.86/1.12 (define @t12 () (@var "Xx" $$unsorted)) % 0.86/1.12 (define @t13 () (_ (_ tptp.cP tptp.cE) @t12)) % 0.86/1.12 (define @t14 () (@list @t12)) % 0.86/1.12 (define @t15 () (forall @t14 (= @t13 @t12))) % 0.86/1.12 (define @t16 () (@var "Xz" $$unsorted)) % 0.86/1.12 (define @t17 () (_ (_ tptp.cP @t7) @t16)) % 0.86/1.12 (define @t18 () (_ tptp.cP @t12)) % 0.86/1.12 (define @t19 () (_ @t18 @t17)) % 0.86/1.12 (define @t20 () (_ @t18 @t7)) % 0.86/1.12 (define @t21 () (_ (_ tptp.cP @t20) @t16)) % 0.86/1.12 (define @t22 () (= @t21 @t19)) % 0.86/1.12 (define @t23 () (@list @t12 @t7 @t16)) % 0.86/1.12 (define @t24 () (forall @t23 @t22)) % 0.86/1.12 (define @t25 () (and @t24 @t15 @t11)) % 0.86/1.12 (define @t26 () (=> @t25 @t6)) % 0.86/1.12 (define @t27 () (not @t26)) % 0.86/1.12 (define @t28 () (tptp.cJ @t1)) % 0.86/1.12 (define @t29 () (tptp.cP @t1 @t28)) % 0.86/1.12 (define @t30 () (= tptp.cE @t4)) % 0.86/1.12 (define @t31 () (tptp.cJ @t7)) % 0.86/1.12 (define @t32 () (tptp.cP @t31 @t7)) % 0.86/1.12 (define @t33 () (= tptp.cE @t9)) % 0.86/1.12 (define @t34 () (tptp.cP tptp.cE @t12)) % 0.86/1.12 (define @t35 () (= @t12 @t13)) % 0.86/1.12 (define @t36 () (tptp.cP @t7 @t16)) % 0.86/1.12 (define @t37 () (tptp.cP @t12 @t36)) % 0.86/1.12 (define @t38 () (tptp.cP @t12 @t7)) % 0.86/1.12 (define @t39 () (tptp.cP @t38 @t16)) % 0.86/1.12 (define @t40 () (@quantifiers_skolemize (forall @t5 (= tptp.cE @t29)) 0)) % 0.86/1.12 (define @t41 () (tptp.cJ @t40)) % 0.86/1.12 (define @t42 () (@list @t41)) % 0.86/1.12 (define @t43 () (tptp.cJ @t41)) % 0.86/1.12 (define @t44 () (tptp.cP @t41 @t41)) % 0.86/1.12 (define @t45 () (tptp.cP @t43 tptp.cE)) % 0.86/1.12 (define @t46 () (tptp.cP @t40 @t45)) % 0.86/1.12 (define @t47 () (tptp.cP @t43 @t45)) % 0.86/1.12 (define @t48 () (tptp.cP @t43 @t41)) % 0.86/1.12 (define @t49 () (tptp.cP @t48 @t45)) % 0.86/1.12 (define @t50 () (tptp.cP @t41 @t45)) % 0.86/1.12 (define @t51 () (tptp.cP @t43 @t50)) % 0.86/1.12 (define @t52 () (forall @t23 (= @t39 @t37))) % 0.86/1.12 (define @t53 () (= @t49 @t51)) % 0.86/1.12 (define @t54 () (@list @t43 @t41 @t45)) % 0.86/1.12 (define @t55 () (= @t51 @t49)) % 0.86/1.12 (define @t56 () (@list false)) % 0.86/1.12 (define @t57 () (@list @t52)) % 0.86/1.12 (define @t58 () (tptp.cP @t40 @t43)) % 0.86/1.12 (define @t59 () (tptp.cP @t58 tptp.cE)) % 0.86/1.12 (define @t60 () (= @t59 @t46)) % 0.86/1.12 (define @t61 () (@list @t40 @t43 tptp.cE)) % 0.86/1.12 (define @t62 () (= @t46 @t59)) % 0.86/1.12 (define @t63 () (tptp.cP @t43 @t43)) % 0.86/1.12 (define @t64 () (tptp.cP tptp.cE @t47)) % 0.86/1.12 (define @t65 () (tptp.cP @t41 @t40)) % 0.86/1.12 (define @t66 () (= tptp.cE @t65)) % 0.86/1.12 (define @t67 () (tptp.cP tptp.cE @t41)) % 0.86/1.12 (define @t68 () (= @t41 @t67)) % 0.86/1.12 (define @t69 () (= tptp.cE @t48)) % 0.86/1.12 (define @t70 () (tptp.cP @t43 @t44)) % 0.86/1.12 (define @t71 () (tptp.cP @t48 @t41)) % 0.86/1.12 (define @t72 () (= @t71 @t70)) % 0.86/1.12 (define @t73 () (tptp.cP @t40 @t67)) % 0.86/1.12 (define @t74 () (tptp.cP @t40 tptp.cE)) % 0.86/1.12 (define @t75 () (= (tptp.cP @t74 @t41) @t73)) % 0.86/1.12 (define @t76 () (tptp.cP @t43 @t67)) % 0.86/1.12 (define @t77 () (tptp.cP @t45 @t41)) % 0.86/1.12 (define @t78 () (= @t77 @t76)) % 0.86/1.12 (define @t79 () (tptp.cP @t43 @t70)) % 0.86/1.12 (define @t80 () (tptp.cP @t63 @t44)) % 0.86/1.12 (define @t81 () (= @t80 @t79)) % 0.86/1.12 (define @t82 () (tptp.cP @t40 @t77)) % 0.86/1.12 (define @t83 () (tptp.cP @t46 @t41)) % 0.86/1.12 (define @t84 () (= @t83 @t82)) % 0.86/1.12 (define @t85 () (tptp.cP @t43 @t77)) % 0.86/1.12 (define @t86 () (tptp.cP @t47 @t41)) % 0.86/1.12 (define @t87 () (= @t86 @t85)) % 0.86/1.12 (define @t88 () (tptp.cP @t44 @t40)) % 0.86/1.12 (define @t89 () (= @t88 (tptp.cP @t41 @t65))) % 0.86/1.12 (define @t90 () (tptp.cP tptp.cE @t43)) % 0.86/1.12 (define @t91 () (= @t43 @t90)) % 0.86/1.12 (define @t92 () (tptp.cP tptp.cE @t45)) % 0.86/1.12 (define @t93 () (= @t45 @t92)) % 0.86/1.12 (define @t94 () (tptp.cP @t83 @t41)) % 0.86/1.12 (define @t95 () (= @t94 (tptp.cP @t46 @t44))) % 0.86/1.12 (define @t96 () (tptp.cP @t47 @t44)) % 0.86/1.12 (define @t97 () (tptp.cP @t86 @t41)) % 0.86/1.12 (define @t98 () (= @t97 @t96)) % 0.86/1.12 (define @t99 () (tptp.cP @t90 @t45)) % 0.86/1.12 (define @t100 () (= @t99 @t64)) % 0.86/1.12 (define @t101 () (tptp.cP @t41 tptp.cE)) % 0.86/1.12 (define @t102 () (tptp.cP @t101 @t45)) % 0.86/1.12 (define @t103 () (= @t102 (tptp.cP @t41 @t92))) % 0.86/1.12 (define @t104 () (tptp.cP @t44 @t46)) % 0.86/1.12 (define @t105 () (= (tptp.cP @t88 @t45) @t104)) % 0.86/1.12 (define @t106 () (tptp.cP @t63 @t50)) % 0.86/1.12 (define @t107 () (= @t106 (tptp.cP @t43 @t51))) % 0.86/1.12 (define @t108 () (tptp.cP @t58 @t64)) % 0.86/1.12 (define @t109 () (= (tptp.cP @t59 @t47) @t108)) % 0.86/1.12 (define @t110 () (tptp.cP @t80 @t46)) % 0.86/1.12 (define @t111 () (= @t110 (tptp.cP @t63 @t104))) % 0.86/1.12 (define @t112 () (tptp.cP @t64 @t44)) % 0.86/1.12 (define @t113 () (tptp.cP @t58 @t112)) % 0.86/1.12 (define @t114 () (= (tptp.cP @t108 @t44) @t113)) % 0.86/1.12 (define @t115 () (= @t46 (tptp.cP tptp.cE @t46))) % 0.86/1.12 (define @t116 () (tptp.cP @t46 @t47)) % 0.86/1.12 (define @t117 () (= tptp.cE (tptp.cP @t40 @t41))) % 0.86/1.12 (define @t118 () (and @t66 @t68 @t69 @t72 @t75 @t78 @t81 @t84 @t87 @t89 @t91 @t93 @t95 @t98 @t100 @t103 @t55 @t105 @t107 @t62 @t109 @t111 @t114 @t115)) % 0.86/1.12 (assume @p1 @t27) % 0.86/1.12 (assume @p2 true) % 0.86/1.12 (step @p3 :rule refl :args ((tptp.cP @t1 @t2))) % 0.86/1.12 (step @p4 :rule refl :args (@t28)) % 0.86/1.12 (step @p5 :rule refl :args (@t1)) % 0.86/1.12 (step @p6 :rule cong :premises (@p5 @p4) :args (@t29)) % 0.86/1.12 (step @p7 :rule trans :premises (@p6 @p3)) % 0.86/1.12 (step @p8 :rule refl :args (@t3)) % 0.86/1.12 (step @p9 :rule ho_cong :premises (@p8 @p4)) % 0.86/1.12 (step @p10 :rule cong :premises (@p9 @p7) :args ((= (_ @t3 @t28) @t29))) % 0.86/1.12 (step @p11 :rule symm :premises (@p10)) % 0.86/1.12 (step @p12 :rule refl :args (@t4)) % 0.86/1.12 (step @p13 :rule eq_resolve :premises (@p12 @p11)) % 0.86/1.12 (step @p14 :rule refl :args (@t2)) % 0.86/1.12 (step @p15 :rule cong :premises (@p14 @p4) :args ((= @t2 @t28))) % 0.86/1.12 (step @p16 :rule symm :premises (@p15)) % 0.86/1.12 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.86/1.12 (step @p18 :rule ho_cong :premises (@p8 @p17)) % 0.86/1.12 (step @p19 :rule trans :premises (@p18 @p13)) % 0.86/1.12 (step @p20 :rule refl :args (tptp.cE)) % 0.86/1.12 (step @p21 :rule cong :premises (@p20 @p19) :args (@t30)) % 0.86/1.12 (step @p22 :rule cong :premises (@p21) :args ((forall @t5 @t30))) % 0.86/1.12 (step @p23 :rule eq-symm :args (@t4 tptp.cE)) % 0.86/1.12 (step @p24 :rule cong :premises (@p23) :args (@t6)) % 0.86/1.12 (step @p25 :rule trans :premises (@p24 @p22)) % 0.86/1.12 (step @p26 :rule refl :args ((tptp.cP @t8 @t7))) % 0.86/1.12 (step @p27 :rule refl :args (@t7)) % 0.86/1.12 (step @p28 :rule refl :args (@t31)) % 0.86/1.12 (step @p29 :rule cong :premises (@p28 @p27) :args (@t32)) % 0.86/1.12 (step @p30 :rule trans :premises (@p29 @p26)) % 0.86/1.12 (step @p31 :rule refl :args (tptp.cP)) % 0.86/1.12 (step @p32 :rule ho_cong :premises (@p31 @p28)) % 0.86/1.12 (step @p33 :rule ho_cong :premises (@p32 @p27)) % 0.86/1.12 (step @p34 :rule cong :premises (@p33 @p30) :args ((= (_ (_ tptp.cP @t31) @t7) @t32))) % 0.86/1.12 (step @p35 :rule symm :premises (@p34)) % 0.86/1.12 (step @p36 :rule refl :args (@t9)) % 0.86/1.12 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.86/1.12 (step @p38 :rule refl :args (@t8)) % 0.86/1.12 (step @p39 :rule cong :premises (@p38 @p28) :args ((= @t8 @t31))) % 0.86/1.12 (step @p40 :rule symm :premises (@p39)) % 0.86/1.12 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.86/1.12 (step @p42 :rule ho_cong :premises (@p31 @p41)) % 0.86/1.12 (step @p43 :rule ho_cong :premises (@p42 @p27)) % 0.86/1.12 (step @p44 :rule trans :premises (@p43 @p37)) % 0.86/1.12 (step @p45 :rule cong :premises (@p20 @p44) :args (@t33)) % 0.86/1.12 (step @p46 :rule cong :premises (@p45) :args ((forall @t10 @t33))) % 0.86/1.12 (step @p47 :rule eq-symm :args (@t9 tptp.cE)) % 0.86/1.12 (step @p48 :rule cong :premises (@p47) :args (@t11)) % 0.86/1.12 (step @p49 :rule trans :premises (@p48 @p46)) % 0.86/1.12 (step @p50 :rule refl :args (@t34)) % 0.86/1.12 (step @p51 :rule refl :args (@t13)) % 0.86/1.12 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t13 @t34))) % 0.86/1.12 (step @p53 :rule symm :premises (@p52)) % 0.86/1.12 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.86/1.12 (step @p55 :rule refl :args (@t12)) % 0.86/1.12 (step @p56 :rule cong :premises (@p55 @p54) :args (@t35)) % 0.86/1.12 (step @p57 :rule cong :premises (@p56) :args ((forall @t14 @t35))) % 0.86/1.12 (step @p58 :rule eq-symm :args (@t13 @t12)) % 0.86/1.12 (step @p59 :rule cong :premises (@p58) :args (@t15)) % 0.86/1.12 (step @p60 :rule trans :premises (@p59 @p57)) % 0.86/1.12 (step @p61 :rule refl :args ((tptp.cP @t12 @t17))) % 0.86/1.12 (step @p62 :rule refl :args (@t36)) % 0.86/1.12 (step @p63 :rule cong :premises (@p55 @p62) :args (@t37)) % 0.86/1.12 (step @p64 :rule trans :premises (@p63 @p61)) % 0.86/1.12 (step @p65 :rule refl :args (@t18)) % 0.86/1.12 (step @p66 :rule ho_cong :premises (@p65 @p62)) % 0.86/1.12 (step @p67 :rule cong :premises (@p66 @p64) :args ((= (_ @t18 @t36) @t37))) % 0.86/1.12 (step @p68 :rule symm :premises (@p67)) % 0.86/1.12 (step @p69 :rule refl :args (@t19)) % 0.86/1.12 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.86/1.12 (step @p71 :rule refl :args (@t17)) % 0.86/1.12 (step @p72 :rule cong :premises (@p71 @p62) :args ((= @t17 @t36))) % 0.86/1.12 (step @p73 :rule symm :premises (@p72)) % 0.86/1.12 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.86/1.12 (step @p75 :rule ho_cong :premises (@p65 @p74)) % 0.86/1.12 (step @p76 :rule trans :premises (@p75 @p70)) % 0.86/1.12 (step @p77 :rule refl :args ((tptp.cP @t20 @t16))) % 0.86/1.12 (step @p78 :rule refl :args (@t16)) % 0.86/1.12 (step @p79 :rule refl :args (@t38)) % 0.86/1.12 (step @p80 :rule cong :premises (@p79 @p78) :args (@t39)) % 0.86/1.12 (step @p81 :rule trans :premises (@p80 @p77)) % 0.86/1.12 (step @p82 :rule ho_cong :premises (@p31 @p79)) % 0.86/1.12 (step @p83 :rule ho_cong :premises (@p82 @p78)) % 0.86/1.12 (step @p84 :rule cong :premises (@p83 @p81) :args ((= (_ (_ tptp.cP @t38) @t16) @t39))) % 0.86/1.12 (step @p85 :rule symm :premises (@p84)) % 0.86/1.12 (step @p86 :rule refl :args (@t21)) % 0.86/1.12 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.86/1.12 (step @p88 :rule refl :args (@t20)) % 0.86/1.12 (step @p89 :rule cong :premises (@p88 @p79) :args ((= @t20 @t38))) % 0.86/1.12 (step @p90 :rule symm :premises (@p89)) % 0.86/1.12 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.86/1.12 (step @p92 :rule ho_cong :premises (@p31 @p91)) % 0.86/1.12 (step @p93 :rule ho_cong :premises (@p92 @p78)) % 0.86/1.12 (step @p94 :rule trans :premises (@p93 @p87)) % 0.86/1.12 (step @p95 :rule cong :premises (@p94 @p76) :args (@t22)) % 0.86/1.12 (step @p96 :rule cong :premises (@p95) :args (@t24)) % 0.86/1.12 (step @p97 :rule nary_cong :premises (@p96 @p60 @p49) :args (@t25)) % 0.86/1.12 (step @p98 :rule cong :premises (@p97 @p25) :args (@t26)) % 0.86/1.12 (step @p99 :rule cong :premises (@p98) :args (@t27)) % 0.86/1.12 (step @p100 :rule eq_resolve :premises (@p1 @p99)) % 0.86/1.12 (step @p101 :rule not_implies_elim2 :premises (@p100)) % 0.86/1.12 (step @p102 :rule skolemize :premises (@p101)) % 0.86/1.12 (step @p103 :rule not_implies_elim1 :premises (@p100)) % 0.86/1.12 (step @p104 :rule and_elim :premises (@p103) :args (2)) % 0.86/1.12 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t40))) % 0.86/1.12 (step @p106 :rule and_elim :premises (@p103) :args (1)) % 0.86/1.12 (step @p107 :rule instantiate :premises (@p106) :args (@t42)) % 0.86/1.12 (step @p108 :rule instantiate :premises (@p104) :args (@t42)) % 0.86/1.12 (step @p109 :rule and_elim :premises (@p103) :args (0)) % 0.86/1.12 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t43 @t41 @t41))) % 0.86/1.12 (step @p111 :rule instantiate :premises (@p109) :args ((@list @t40 tptp.cE @t41))) % 0.86/1.12 (step @p112 :rule instantiate :premises (@p109) :args ((@list @t43 tptp.cE @t41))) % 0.86/1.12 (step @p113 :rule instantiate :premises (@p109) :args ((@list @t43 @t43 @t44))) % 0.86/1.12 (step @p114 :rule instantiate :premises (@p109) :args ((@list @t40 @t45 @t41))) % 0.86/1.12 (step @p115 :rule instantiate :premises (@p109) :args ((@list @t43 @t45 @t41))) % 0.86/1.12 (step @p116 :rule instantiate :premises (@p109) :args ((@list @t41 @t41 @t40))) % 0.86/1.12 (step @p117 :rule instantiate :premises (@p106) :args ((@list @t43))) % 0.86/1.12 (step @p118 :rule instantiate :premises (@p106) :args ((@list @t45))) % 0.86/1.12 (step @p119 :rule instantiate :premises (@p109) :args ((@list @t46 @t41 @t41))) % 0.86/1.12 (step @p120 :rule instantiate :premises (@p109) :args ((@list @t47 @t41 @t41))) % 0.86/1.12 (step @p121 :rule instantiate :premises (@p109) :args ((@list tptp.cE @t43 @t45))) % 0.86/1.12 (step @p122 :rule instantiate :premises (@p109) :args ((@list @t41 tptp.cE @t45))) % 0.86/1.12 (step @p123 :rule eq-symm :args (@t49 @t51)) % 0.86/1.12 (step @p124 :rule refl :args (@t52)) % 0.86/1.12 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t52 @t53))) % 0.86/1.12 (assume-push @p268 @t52) % 0.86/1.12 (step @p127 :rule instantiate :premises (@p109) :args (@t54)) % 0.86/1.12 (step-pop @p269 :rule scope :premises (@p127)) % 0.86/1.12 (step @p128 :rule process_scope :premises (@p269) :args (@t53)) % 0.86/1.12 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.86/1.12 (step @p131 :rule implies_elim :premises (@p130)) % 0.86/1.12 (step @p132 :rule chain_m_resolution :premises (@p131 @p109) :args (@t55 @t56 @t57)) % 0.86/1.12 (step @p133 :rule instantiate :premises (@p109) :args ((@list @t44 @t40 @t45))) % 0.86/1.12 (step @p134 :rule instantiate :premises (@p109) :args ((@list @t43 @t43 @t50))) % 0.86/1.12 (step @p135 :rule eq-symm :args (@t59 @t46)) % 0.86/1.12 (step @p136 :rule cong :premises (@p124 @p135) :args ((=> @t52 @t60))) % 0.86/1.12 (assume-push @p270 @t52) % 0.86/1.12 (step @p138 :rule instantiate :premises (@p109) :args (@t61)) % 0.86/1.12 (step-pop @p271 :rule scope :premises (@p138)) % 0.86/1.12 (step @p139 :rule process_scope :premises (@p271) :args (@t60)) % 0.86/1.12 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 0.86/1.12 (step @p142 :rule implies_elim :premises (@p141)) % 0.86/1.12 (step @p143 :rule chain_m_resolution :premises (@p142 @p109) :args (@t62 @t56 @t57)) % 0.86/1.12 (step @p144 :rule instantiate :premises (@p109) :args ((@list @t58 tptp.cE @t47))) % 0.86/1.12 (step @p145 :rule instantiate :premises (@p109) :args ((@list @t63 @t44 @t46))) % 0.86/1.12 (step @p146 :rule instantiate :premises (@p109) :args ((@list @t58 @t64 @t44))) % 0.86/1.12 (step @p147 :rule instantiate :premises (@p106) :args ((@list @t46))) % 0.86/1.12 (assume-push @p272 @t66) % 0.86/1.12 (assume-push @p273 @t68) % 0.86/1.12 (assume-push @p274 @t69) % 0.86/1.12 (assume-push @p275 @t72) % 0.86/1.12 (assume-push @p276 @t75) % 0.86/1.12 (assume-push @p277 @t78) % 0.86/1.12 (assume-push @p278 @t81) % 0.86/1.12 (assume-push @p279 @t84) % 0.86/1.12 (assume-push @p280 @t87) % 0.86/1.12 (assume-push @p281 @t89) % 0.86/1.12 (assume-push @p282 @t91) % 0.86/1.12 (assume-push @p283 @t93) % 0.86/1.12 (assume-push @p284 @t95) % 0.86/1.12 (assume-push @p285 @t98) % 0.86/1.12 (assume-push @p286 @t100) % 0.86/1.12 (assume-push @p287 @t103) % 0.86/1.12 (assume-push @p288 @t55) % 0.86/1.12 (assume-push @p289 @t105) % 0.86/1.12 (assume-push @p290 @t107) % 0.86/1.12 (assume-push @p291 @t62) % 0.86/1.12 (assume-push @p292 @t109) % 0.86/1.12 (assume-push @p293 @t111) % 0.86/1.12 (assume-push @p294 @t114) % 0.86/1.12 (assume-push @p295 @t115) % 0.86/1.12 (step @p172 :rule symm :premises (@p107)) % 0.86/1.12 (step @p173 :rule refl :args (@t40)) % 0.86/1.12 (step @p174 :rule cong :premises (@p173 @p172) :args (@t73)) % 0.86/1.12 (step @p175 :rule refl :args (@t41)) % 0.86/1.12 (step @p176 :rule symm :premises (@p108)) % 0.86/1.12 (step @p177 :rule cong :premises (@p176 @p175) :args (@t71)) % 0.86/1.12 (step @p178 :rule symm :premises (@p110)) % 0.86/1.12 (step @p179 :rule trans :premises (@p178 @p177 @p172)) % 0.86/1.12 (step @p180 :rule refl :args (@t74)) % 0.86/1.12 (step @p181 :rule cong :premises (@p180 @p179) :args ((tptp.cP @t74 @t70))) % 0.86/1.12 (step @p182 :rule symm :premises (@p179)) % 0.86/1.12 (step @p183 :rule refl :args (@t43)) % 0.86/1.12 (step @p184 :rule cong :premises (@p183 @p172) :args (@t76)) % 0.86/1.12 (step @p185 :rule trans :premises (@p112 @p184 @p176)) % 0.86/1.12 (step @p186 :rule cong :premises (@p173 @p185) :args (@t82)) % 0.86/1.12 (step @p187 :rule trans :premises (@p114 @p186)) % 0.86/1.12 (step @p188 :rule cong :premises (@p187 @p182) :args (@t94)) % 0.86/1.12 (step @p189 :rule symm :premises (@p119)) % 0.86/1.12 (step @p190 :rule refl :args (@t44)) % 0.86/1.12 (step @p138 :rule instantiate :premises (@p109) :args (@t61)) % 0.86/1.12 (step @p191 :rule cong :premises (@p183 @p185) :args (@t85)) % 0.86/1.12 (step @p192 :rule trans :premises (@p115 @p191)) % 0.86/1.12 (step @p193 :rule cong :premises (@p192 @p175) :args (@t97)) % 0.86/1.12 (step @p194 :rule symm :premises (@p120)) % 0.86/1.12 (step @p195 :rule refl :args (@t45)) % 0.86/1.12 (step @p196 :rule symm :premises (@p117)) % 0.86/1.12 (step @p197 :rule cong :premises (@p196 @p195) :args (@t99)) % 0.86/1.12 (step @p198 :rule symm :premises (@p121)) % 0.86/1.12 (step @p199 :rule trans :premises (@p198 @p197)) % 0.86/1.12 (step @p200 :rule cong :premises (@p199 @p190) :args (@t112)) % 0.86/1.12 (step @p201 :rule trans :premises (@p200 @p194 @p193 @p112 @p184 @p176)) % 0.86/1.12 (step @p202 :rule refl :args (@t58)) % 0.86/1.12 (step @p203 :rule cong :premises (@p202 @p201) :args (@t113)) % 0.86/1.12 (step @p204 :rule refl :args (@t47)) % 0.86/1.12 (step @p205 :rule cong :premises (@p143 @p204) :args (@t116)) % 0.86/1.12 (step @p206 :rule trans :premises (@p205 @p144)) % 0.86/1.12 (step @p207 :rule cong :premises (@p206 @p190) :args ((tptp.cP @t116 @t44))) % 0.86/1.12 (step @p208 :rule trans :premises (@p207 @p146 @p203 @p138)) % 0.86/1.12 (step @p209 :rule symm :premises (@p207)) % 0.86/1.12 (step @p210 :rule symm :premises (@p146)) % 0.86/1.12 (step @p211 :rule symm :premises (@p203)) % 0.86/1.12 (step @p212 :rule symm :premises (@p147)) % 0.86/1.12 (step @p213 :rule refl :args (@t46)) % 0.86/1.12 (step @p214 :rule cong :premises (@p183 @p179) :args (@t79)) % 0.86/1.12 (step @p215 :rule trans :premises (@p113 @p214 @p176)) % 0.86/1.12 (step @p216 :rule cong :premises (@p215 @p213) :args (@t110)) % 0.86/1.12 (step @p217 :rule symm :premises (@p145)) % 0.86/1.12 (step @p218 :rule symm :premises (@p116)) % 0.86/1.12 (step @p219 :rule cong :premises (@p175 @p105) :args (@t101)) % 0.86/1.12 (step @p220 :rule trans :premises (@p219 @p218)) % 0.86/1.12 (step @p221 :rule cong :premises (@p220 @p195) :args (@t102)) % 0.86/1.12 (step @p222 :rule symm :premises (@p122)) % 0.86/1.12 (step @p223 :rule cong :premises (@p175 @p118) :args (@t50)) % 0.86/1.12 (step @p224 :rule trans :premises (@p223 @p222 @p221 @p133)) % 0.86/1.12 (step @p225 :rule refl :args (@t63)) % 0.86/1.12 (step @p226 :rule cong :premises (@p225 @p224) :args (@t106)) % 0.86/1.12 (step @p227 :rule symm :premises (@p134)) % 0.86/1.12 (step @p127 :rule instantiate :premises (@p109) :args (@t54)) % 0.86/1.12 (step @p228 :rule cong :premises (@p108 @p195) :args (@t92)) % 0.86/1.13 (step @p229 :rule trans :premises (@p118 @p228 @p127)) % 0.86/1.13 (step @p230 :rule cong :premises (@p183 @p229) :args (@t47)) % 0.86/1.13 (step @p231 :rule trans :premises (@p230 @p227 @p226 @p217 @p216 @p212 @p143 @p211 @p210 @p209)) % 0.86/1.13 (step @p232 :rule trans :premises (@p231 @p208)) % 0.86/1.13 (step @p233 :rule cong :premises (@p232 @p190) :args (@t96)) % 0.86/1.13 (step @p234 :rule symm :premises (@p193)) % 0.86/1.13 (step @p235 :rule symm :premises (@p112)) % 0.86/1.13 (step @p236 :rule symm :premises (@p184)) % 0.86/1.13 (step @p237 :rule trans :premises (@p108 @p236 @p235 @p234 @p120 @p233 @p189 @p188 @p181 @p111 @p174)) % 0.86/1.13 (step-pop @p296 :rule scope :premises (@p237)) % 0.86/1.13 (step-pop @p297 :rule scope :premises (@p296)) % 0.86/1.13 (step-pop @p298 :rule scope :premises (@p297)) % 0.86/1.13 (step-pop @p299 :rule scope :premises (@p298)) % 0.86/1.13 (step-pop @p300 :rule scope :premises (@p299)) % 0.86/1.13 (step-pop @p301 :rule scope :premises (@p300)) % 0.86/1.13 (step-pop @p302 :rule scope :premises (@p301)) % 0.86/1.13 (step-pop @p303 :rule scope :premises (@p302)) % 0.86/1.13 (step-pop @p304 :rule scope :premises (@p303)) % 0.86/1.13 (step-pop @p305 :rule scope :premises (@p304)) % 0.86/1.13 (step-pop @p306 :rule scope :premises (@p305)) % 0.86/1.13 (step-pop @p307 :rule scope :premises (@p306)) % 0.86/1.13 (step-pop @p308 :rule scope :premises (@p307)) % 0.86/1.13 (step-pop @p309 :rule scope :premises (@p308)) % 0.86/1.13 (step-pop @p310 :rule scope :premises (@p309)) % 0.86/1.13 (step-pop @p311 :rule scope :premises (@p310)) % 0.86/1.13 (step-pop @p312 :rule scope :premises (@p311)) % 0.86/1.13 (step-pop @p313 :rule scope :premises (@p312)) % 0.86/1.13 (step-pop @p314 :rule scope :premises (@p313)) % 0.86/1.13 (step-pop @p315 :rule scope :premises (@p314)) % 0.86/1.13 (step-pop @p316 :rule scope :premises (@p315)) % 0.86/1.13 (step-pop @p317 :rule scope :premises (@p316)) % 0.86/1.13 (step-pop @p318 :rule scope :premises (@p317)) % 0.86/1.13 (step-pop @p319 :rule scope :premises (@p318)) % 0.86/1.13 (step @p238 :rule process_scope :premises (@p319) :args (@t117)) % 0.86/1.13 (step @p263 :rule implies_elim :premises (@p238)) % 0.86/1.13 (step @p264 :rule cnf_and_neg :args (@t118)) % 0.86/1.13 (step @p265 :rule resolution :premises (@p264 @p263) :args (true @t118)) % 0.86/1.13 (step @p266 :rule reordering :premises (@p265) :args ((or @t117 (not @t66) (not @t68) (not @t69) (not @t72) (not @t75) (not @t78) (not @t81) (not @t84) (not @t87) (not @t89) (not @t91) (not @t93) (not @t95) (not @t98) (not @t100) (not @t103) (not @t55) (not @t105) (not @t107) (not @t62) (not @t109) (not @t111) (not @t114) (not @t115)))) % 0.86/1.13 (step @p267 false :rule chain_m_resolution :premises (@p266 @p147 @p146 @p145 @p144 @p143 @p134 @p133 @p132 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p108 @p107 @p105 @p102) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t115 @t114 @t111 @t109 @t62 @t107 @t105 @t55 @t103 @t100 @t98 @t95 @t93 @t91 @t89 @t87 @t84 @t81 @t78 @t75 @t72 @t69 @t68 @t66 @t117))) % 0.86/1.13 ) % 0.86/1.13 % SZS output end Proof % 0.86/1.13 % cvc5 exiting %------------------------------------------------------------------------------