%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG280^5 : 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 : n010.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 184.93s 185.26s % Output : Proof 184.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG280^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 : Wed Jun 3 01:57:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TH0 % 184.93/185.26 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 184.93/185.26 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 184.93/185.26 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 184.93/185.26 --- Run --ho-elim --full-saturate-quant at 18s... % 184.93/185.26 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 184.93/185.26 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 184.93/185.26 % SZS status Theorem % 184.93/185.26 % SZS output start Proof % 184.93/185.26 ( % 184.93/185.26 (declare-sort tptp.a 0) % 184.93/185.26 (declare-const tptp.cJ (-> tptp.a tptp.a)) % 184.93/185.26 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 184.93/185.26 (declare-const tptp.cE tptp.a) % 184.93/185.26 (define @t1 () (@var "X" tptp.a)) % 184.93/185.26 (define @t2 () (_ (_ tptp.cP @t1) tptp.cE)) % 184.93/185.26 (define @t3 () (@list @t1)) % 184.93/185.26 (define @t4 () (forall @t3 (= @t2 @t1))) % 184.93/185.26 (define @t5 () (@var "Xy" tptp.a)) % 184.93/185.26 (define @t6 () (_ tptp.cJ @t5)) % 184.93/185.26 (define @t7 () (_ (_ tptp.cP @t6) @t5)) % 184.93/185.26 (define @t8 () (@list @t5)) % 184.93/185.26 (define @t9 () (forall @t8 (= @t7 tptp.cE))) % 184.93/185.26 (define @t10 () (@var "Xx" tptp.a)) % 184.93/185.26 (define @t11 () (_ (_ tptp.cP tptp.cE) @t10)) % 184.93/185.26 (define @t12 () (@list @t10)) % 184.93/185.26 (define @t13 () (forall @t12 (= @t11 @t10))) % 184.93/185.26 (define @t14 () (@var "Xz" tptp.a)) % 184.93/185.26 (define @t15 () (_ (_ tptp.cP @t5) @t14)) % 184.93/185.26 (define @t16 () (_ tptp.cP @t10)) % 184.93/185.26 (define @t17 () (_ @t16 @t15)) % 184.93/185.26 (define @t18 () (_ @t16 @t5)) % 184.93/185.26 (define @t19 () (_ (_ tptp.cP @t18) @t14)) % 184.93/185.26 (define @t20 () (= @t19 @t17)) % 184.93/185.26 (define @t21 () (@list @t10 @t5 @t14)) % 184.93/185.26 (define @t22 () (forall @t21 @t20)) % 184.93/185.26 (define @t23 () (and @t22 @t13 @t9)) % 184.93/185.26 (define @t24 () (=> @t23 @t4)) % 184.93/185.26 (define @t25 () (not @t24)) % 184.93/185.26 (define @t26 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) % 184.93/185.26 (define @t27 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a))))) % 184.93/185.26 (define @t28 () (@const 2 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a))) % 184.93/185.26 (define @t29 () (forall @t3 (= @t1 (_ @t28 (_ @t27 @t26 @t1) tptp.cE)))) % 184.93/185.26 (define @t30 () (@const 3 (@ho-elim-sort (-> tptp.a tptp.a)))) % 184.93/185.26 (define @t31 () (forall @t8 (= tptp.cE (_ @t28 (_ @t27 @t26 (_ @t28 @t30 @t5)) @t5)))) % 184.93/185.26 (define @t32 () (_ @t27 @t26 tptp.cE)) % 184.93/185.26 (define @t33 () (forall @t12 (= @t10 (_ @t28 @t32 @t10)))) % 184.93/185.26 (define @t34 () (_ @t27 @t26 @t10)) % 184.93/185.26 (define @t35 () (_ @t28 (_ @t27 @t26 (_ @t28 @t34 @t5)) @t14)) % 184.93/185.26 (define @t36 () (_ @t28 @t34 (_ @t28 (_ @t27 @t26 @t5) @t14))) % 184.93/185.26 (define @t37 () (forall @t21 (= @t35 @t36))) % 184.93/185.26 (define @t38 () (and @t37 @t33 @t31)) % 184.93/185.26 (define @t39 () (=> @t38 @t29)) % 184.93/185.26 (define @t40 () (not @t39)) % 184.93/185.26 (define @t41 () (tptp.cP @t1 tptp.cE)) % 184.93/185.26 (define @t42 () (tptp.cJ @t5)) % 184.93/185.26 (define @t43 () (tptp.cP @t42 @t5)) % 184.93/185.26 (define @t44 () (tptp.cP tptp.cE @t10)) % 184.93/185.26 (define @t45 () (tptp.cP @t5 @t14)) % 184.93/185.26 (define @t46 () (tptp.cP @t10 @t45)) % 184.93/185.26 (define @t47 () (tptp.cP @t10 @t5)) % 184.93/185.26 (define @t48 () (tptp.cP @t47 @t14)) % 184.93/185.26 (define @t49 () (= @t1 @t2)) % 184.93/185.26 (define @t50 () (= tptp.cE @t7)) % 184.93/185.26 (define @t51 () (= @t10 @t11)) % 184.93/185.26 (define @t52 () (@quantifiers_skolemize @t29 0)) % 184.93/185.26 (define @t53 () (@list @t52)) % 184.93/185.26 (define @t54 () (_ @t28 @t30 @t52)) % 184.93/185.26 (define @t55 () (_ @t28 @t30 @t54)) % 184.93/185.26 (define @t56 () (_ @t27 @t26 @t55)) % 184.93/185.26 (define @t57 () (_ @t28 @t56 tptp.cE)) % 184.93/185.26 (define @t58 () (_ @t27 @t26 @t57)) % 184.93/185.26 (define @t59 () (_ @t28 @t58 tptp.cE)) % 184.93/185.26 (define @t60 () (_ @t28 @t32 tptp.cE)) % 184.93/185.26 (define @t61 () (_ @t28 @t56 @t60)) % 184.93/185.26 (define @t62 () (= @t61 @t59)) % 184.93/185.26 (define @t63 () (not @t62)) % 184.93/185.26 (define @t64 () (_ @t28 @t56 @t54)) % 184.93/185.26 (define @t65 () (_ @t27 @t26 @t64)) % 184.93/185.26 (define @t66 () (_ @t28 @t65 @t52)) % 184.93/185.26 (define @t67 () (_ @t28 (_ @t27 @t26 @t54) @t52)) % 184.93/185.26 (define @t68 () (= (_ @t28 @t56 @t67) @t66)) % 184.93/185.26 (define @t69 () (not @t68)) % 184.93/185.26 (define @t70 () (= tptp.cE @t64)) % 184.93/185.26 (define @t71 () (not @t70)) % 184.93/185.26 (define @t72 () (= tptp.cE @t67)) % 184.93/185.26 (define @t73 () (not @t72)) % 184.93/185.26 (define @t74 () (= @t52 (_ @t28 @t32 @t52))) % 184.93/185.26 (define @t75 () (not @t74)) % 184.93/185.26 (define @t76 () (= tptp.cE @t60)) % 184.93/185.26 (define @t77 () (not @t76)) % 184.93/185.26 (define @t78 () (= @t52 (_ @t28 (_ @t27 @t26 @t52) tptp.cE))) % 184.93/185.26 (define @t79 () (not @t78)) % 184.93/185.26 (define @t80 () (and @t62 @t63)) % 184.93/185.26 (assume @p1 @t25) % 184.93/185.26 (assume @p2 true) % 184.93/185.26 (step @p3 :rule refl :args (@t29)) % 184.93/185.26 (step @p4 :rule refl :args (@t31)) % 184.93/185.26 (step @p5 :rule refl :args (@t33)) % 184.93/185.26 (step @p6 :rule eq-symm :args (@t35 @t36)) % 184.93/185.26 (step @p7 :rule cong :premises (@p6) :args (@t37)) % 184.93/185.26 (step @p8 :rule nary_cong :premises (@p7 @p5 @p4) :args (@t38)) % 184.93/185.26 (step @p9 :rule cong :premises (@p8 @p3) :args (@t39)) % 184.93/185.26 (step @p10 :rule cong :premises (@p9) :args (@t40)) % 184.93/185.26 ; WARNING: add trust step for TRUST % 184.93/185.26 ; trust TRUST PREPROCESS_HO_ELIM % 184.93/185.26 (step @p11 :rule trust :premises () :args ((= (not (=> (and (forall @t21 (= @t48 @t46)) (forall @t12 (= @t10 @t44)) (forall @t8 (= tptp.cE @t43))) (forall @t3 (= @t1 @t41)))) @t40))) % 184.93/185.26 (step @p12 :rule refl :args (@t41)) % 184.93/185.26 (step @p13 :rule refl :args (@t2)) % 184.93/185.26 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t2 @t41))) % 184.93/185.26 (step @p15 :rule symm :premises (@p14)) % 184.93/185.26 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 184.93/185.26 (step @p17 :rule refl :args (@t1)) % 184.93/185.26 (step @p18 :rule cong :premises (@p17 @p16) :args (@t49)) % 184.93/185.26 (step @p19 :rule cong :premises (@p18) :args ((forall @t3 @t49))) % 184.93/185.26 (step @p20 :rule eq-symm :args (@t2 @t1)) % 184.93/185.26 (step @p21 :rule cong :premises (@p20) :args (@t4)) % 184.93/185.26 (step @p22 :rule trans :premises (@p21 @p19)) % 184.93/185.26 (step @p23 :rule refl :args ((tptp.cP @t6 @t5))) % 184.93/185.26 (step @p24 :rule refl :args (@t5)) % 184.93/185.26 (step @p25 :rule refl :args (@t42)) % 184.93/185.26 (step @p26 :rule cong :premises (@p25 @p24) :args (@t43)) % 184.93/185.26 (step @p27 :rule trans :premises (@p26 @p23)) % 184.93/185.26 (step @p28 :rule refl :args (tptp.cP)) % 184.93/185.26 (step @p29 :rule ho_cong :premises (@p28 @p25)) % 184.93/185.26 (step @p30 :rule ho_cong :premises (@p29 @p24)) % 184.93/185.26 (step @p31 :rule cong :premises (@p30 @p27) :args ((= (_ (_ tptp.cP @t42) @t5) @t43))) % 184.93/185.26 (step @p32 :rule symm :premises (@p31)) % 184.93/185.26 (step @p33 :rule refl :args (@t7)) % 184.93/185.26 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 184.93/185.26 (step @p35 :rule refl :args (@t6)) % 184.93/185.26 (step @p36 :rule cong :premises (@p35 @p25) :args ((= @t6 @t42))) % 184.93/185.26 (step @p37 :rule symm :premises (@p36)) % 184.93/185.26 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 184.93/185.26 (step @p39 :rule ho_cong :premises (@p28 @p38)) % 184.93/185.26 (step @p40 :rule ho_cong :premises (@p39 @p24)) % 184.93/185.26 (step @p41 :rule trans :premises (@p40 @p34)) % 184.93/185.26 (step @p42 :rule refl :args (tptp.cE)) % 184.93/185.26 (step @p43 :rule cong :premises (@p42 @p41) :args (@t50)) % 184.93/185.26 (step @p44 :rule cong :premises (@p43) :args ((forall @t8 @t50))) % 184.93/185.26 (step @p45 :rule eq-symm :args (@t7 tptp.cE)) % 184.93/185.26 (step @p46 :rule cong :premises (@p45) :args (@t9)) % 184.93/185.26 (step @p47 :rule trans :premises (@p46 @p44)) % 184.93/185.26 (step @p48 :rule refl :args (@t44)) % 184.93/185.26 (step @p49 :rule refl :args (@t11)) % 184.93/185.26 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t11 @t44))) % 184.93/185.26 (step @p51 :rule symm :premises (@p50)) % 184.93/185.26 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 184.93/185.26 (step @p53 :rule refl :args (@t10)) % 184.93/185.26 (step @p54 :rule cong :premises (@p53 @p52) :args (@t51)) % 184.93/185.26 (step @p55 :rule cong :premises (@p54) :args ((forall @t12 @t51))) % 184.93/185.26 (step @p56 :rule eq-symm :args (@t11 @t10)) % 184.93/185.26 (step @p57 :rule cong :premises (@p56) :args (@t13)) % 184.93/185.26 (step @p58 :rule trans :premises (@p57 @p55)) % 184.93/185.26 (step @p59 :rule refl :args ((tptp.cP @t10 @t15))) % 184.93/185.26 (step @p60 :rule refl :args (@t45)) % 184.93/185.26 (step @p61 :rule cong :premises (@p53 @p60) :args (@t46)) % 184.93/185.26 (step @p62 :rule trans :premises (@p61 @p59)) % 184.93/185.26 (step @p63 :rule refl :args (@t16)) % 184.93/185.26 (step @p64 :rule ho_cong :premises (@p63 @p60)) % 184.93/185.26 (step @p65 :rule cong :premises (@p64 @p62) :args ((= (_ @t16 @t45) @t46))) % 184.93/185.26 (step @p66 :rule symm :premises (@p65)) % 184.93/185.26 (step @p67 :rule refl :args (@t17)) % 184.93/185.26 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 184.93/185.26 (step @p69 :rule refl :args (@t15)) % 184.93/185.26 (step @p70 :rule cong :premises (@p69 @p60) :args ((= @t15 @t45))) % 184.93/185.26 (step @p71 :rule symm :premises (@p70)) % 184.93/185.26 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 184.93/185.26 (step @p73 :rule ho_cong :premises (@p63 @p72)) % 184.93/185.26 (step @p74 :rule trans :premises (@p73 @p68)) % 184.93/185.26 (step @p75 :rule refl :args ((tptp.cP @t18 @t14))) % 184.93/185.26 (step @p76 :rule refl :args (@t14)) % 184.93/185.26 (step @p77 :rule refl :args (@t47)) % 184.93/185.26 (step @p78 :rule cong :premises (@p77 @p76) :args (@t48)) % 184.93/185.26 (step @p79 :rule trans :premises (@p78 @p75)) % 184.93/185.26 (step @p80 :rule ho_cong :premises (@p28 @p77)) % 184.93/185.26 (step @p81 :rule ho_cong :premises (@p80 @p76)) % 184.93/185.26 (step @p82 :rule cong :premises (@p81 @p79) :args ((= (_ (_ tptp.cP @t47) @t14) @t48))) % 184.93/185.26 (step @p83 :rule symm :premises (@p82)) % 184.93/185.26 (step @p84 :rule refl :args (@t19)) % 184.93/185.26 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 184.93/185.26 (step @p86 :rule refl :args (@t18)) % 184.93/185.26 (step @p87 :rule cong :premises (@p86 @p77) :args ((= @t18 @t47))) % 184.93/185.26 (step @p88 :rule symm :premises (@p87)) % 184.93/185.26 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 184.93/185.26 (step @p90 :rule ho_cong :premises (@p28 @p89)) % 184.93/185.26 (step @p91 :rule ho_cong :premises (@p90 @p76)) % 184.93/185.26 (step @p92 :rule trans :premises (@p91 @p85)) % 184.93/185.26 (step @p93 :rule cong :premises (@p92 @p74) :args (@t20)) % 184.93/185.26 (step @p94 :rule cong :premises (@p93) :args (@t22)) % 184.93/185.26 (step @p95 :rule nary_cong :premises (@p94 @p58 @p47) :args (@t23)) % 184.93/185.26 (step @p96 :rule cong :premises (@p95 @p22) :args (@t24)) % 184.93/185.26 (step @p97 :rule cong :premises (@p96) :args (@t25)) % 184.93/185.26 (step @p98 :rule trans :premises (@p97 @p11 @p10)) % 184.93/185.26 (step @p99 :rule eq_resolve :premises (@p1 @p98)) % 184.93/185.26 (step @p100 :rule not_implies_elim2 :premises (@p99)) % 184.93/185.26 (step @p101 :rule skolemize :premises (@p100)) % 184.93/185.26 (step @p102 :rule not_implies_elim1 :premises (@p99)) % 184.93/185.26 (step @p103 :rule and_elim :premises (@p102) :args (1)) % 184.93/185.26 (step @p104 :rule instantiate :premises (@p103) :args ((@list tptp.cE))) % 184.93/185.26 (step @p105 :rule instantiate :premises (@p103) :args (@t53)) % 184.93/185.26 (step @p106 :rule and_elim :premises (@p102) :args (2)) % 184.93/185.26 (step @p107 :rule instantiate :premises (@p106) :args (@t53)) % 184.93/185.26 (step @p108 :rule instantiate :premises (@p106) :args ((@list @t54))) % 184.93/185.26 (step @p109 :rule and_elim :premises (@p102) :args (0)) % 184.93/185.26 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t55 @t54 @t52))) % 184.93/185.26 (step @p111 :rule instantiate :premises (@p109) :args ((@list @t55 tptp.cE tptp.cE))) % 184.93/185.26 (step @p112 :rule refl :args (@t63)) % 184.93/185.26 (step @p113 :rule refl :args (@t69)) % 184.93/185.26 (step @p114 :rule refl :args (@t71)) % 184.93/185.26 (step @p115 :rule refl :args (@t73)) % 184.93/185.26 (step @p116 :rule refl :args (@t75)) % 184.93/185.26 (step @p117 :rule refl :args (@t77)) % 184.93/185.26 (step @p118 :rule bool-double-not-elim :args (@t78)) % 184.93/185.26 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114 @p113 @p112) :args ((or (not @t79) @t77 @t75 @t73 @t71 @t69 @t63))) % 184.93/185.26 (assume-push @p172 @t62) % 184.93/185.26 (assume-push @p173 @t63) % 184.93/185.26 (step @p122 :rule evaluate :args ((= false true))) % 184.93/185.26 (step @p123 :rule true_intro :premises (@p111)) % 184.93/185.26 (step @p124 :rule false_intro :premises (@p101)) % 184.93/185.26 (step @p125 :rule refl :args (tptp.cE)) % 184.93/185.26 (step @p126 :rule symm :premises (@p105)) % 184.93/185.26 (step @p127 :rule refl :args (@t52)) % 184.93/185.26 (step @p128 :rule symm :premises (@p108)) % 184.93/185.26 (step @p129 :rule refl :args (@t26)) % 184.93/185.26 (step @p130 :rule cong :premises (@p129 @p128) :args (@t65)) % 184.93/185.26 (step @p131 :rule cong :premises (@p130 @p127) :args (@t66)) % 184.93/185.26 (step @p132 :rule refl :args (@t56)) % 184.93/185.26 (step @p133 :rule cong :premises (@p132 @p107) :args (@t57)) % 184.93/185.26 (step @p134 :rule trans :premises (@p133 @p110 @p131 @p126)) % 184.93/185.26 (step @p135 :rule cong :premises (@p129 @p134) :args (@t58)) % 184.93/185.26 (step @p136 :rule cong :premises (@p135 @p125) :args (@t59)) % 184.93/185.26 (step @p137 :rule symm :premises (@p104)) % 184.93/185.26 (step @p138 :rule trans :premises (@p137 @p107)) % 184.93/185.26 (step @p139 :rule cong :premises (@p132 @p138) :args (@t61)) % 184.93/185.26 (step @p140 :rule trans :premises (@p139 @p110 @p131 @p126)) % 184.93/185.26 (step @p141 :rule cong :premises (@p140 @p136) :args (@t62)) % 184.93/185.26 (step @p142 :rule trans :premises (@p141 @p124)) % 184.93/185.26 (step @p143 :rule symm :premises (@p142)) % 184.93/185.26 (step @p144 :rule trans :premises (@p143 @p123)) % 184.93/185.26 (step @p145 false :rule eq_resolve :premises (@p144 @p122)) % 184.93/185.26 (step-pop @p174 :rule scope :premises (@p145)) % 184.93/185.26 (step-pop @p175 :rule scope :premises (@p174)) % 184.93/185.26 (step @p146 :rule process_scope :premises (@p175) :args (false)) % 184.93/185.26 (assume-push @p176 @t79) % 184.93/185.26 (assume-push @p177 @t76) % 184.93/185.26 (assume-push @p178 @t74) % 184.93/185.26 (assume-push @p179 @t72) % 184.93/185.26 (assume-push @p180 @t70) % 184.93/185.26 (assume-push @p181 @t68) % 184.93/185.26 (assume-push @p182 @t62) % 184.93/185.26 (step @p124 :rule false_intro :premises (@p101)) % 184.93/185.26 (step @p125 :rule refl :args (tptp.cE)) % 184.93/185.26 (step @p126 :rule symm :premises (@p105)) % 184.93/185.26 (step @p127 :rule refl :args (@t52)) % 184.93/185.26 (step @p128 :rule symm :premises (@p108)) % 184.93/185.26 (step @p129 :rule refl :args (@t26)) % 184.93/185.26 (step @p130 :rule cong :premises (@p129 @p128) :args (@t65)) % 184.93/185.26 (step @p131 :rule cong :premises (@p130 @p127) :args (@t66)) % 184.93/185.26 (step @p132 :rule refl :args (@t56)) % 184.93/185.26 (step @p133 :rule cong :premises (@p132 @p107) :args (@t57)) % 184.93/185.27 (step @p134 :rule trans :premises (@p133 @p110 @p131 @p126)) % 184.93/185.27 (step @p135 :rule cong :premises (@p129 @p134) :args (@t58)) % 184.93/185.27 (step @p136 :rule cong :premises (@p135 @p125) :args (@t59)) % 184.93/185.27 (step @p137 :rule symm :premises (@p104)) % 184.93/185.27 (step @p138 :rule trans :premises (@p137 @p107)) % 184.93/185.27 (step @p139 :rule cong :premises (@p132 @p138) :args (@t61)) % 184.93/185.27 (step @p140 :rule trans :premises (@p139 @p110 @p131 @p126)) % 184.93/185.27 (step @p141 :rule cong :premises (@p140 @p136) :args (@t62)) % 184.93/185.27 (step @p156 :rule trans :premises (@p141 @p124)) % 184.93/185.27 (step @p157 :rule false_elim :premises (@p156)) % 184.93/185.27 (step @p158 :rule and_intro :premises (@p111 @p157)) % 184.93/185.27 (step-pop @p183 :rule scope :premises (@p158)) % 184.93/185.27 (step-pop @p184 :rule scope :premises (@p183)) % 184.93/185.27 (step-pop @p185 :rule scope :premises (@p184)) % 184.93/185.27 (step-pop @p186 :rule scope :premises (@p185)) % 184.93/185.27 (step-pop @p187 :rule scope :premises (@p186)) % 184.93/185.27 (step-pop @p188 :rule scope :premises (@p187)) % 184.93/185.27 (step-pop @p189 :rule scope :premises (@p188)) % 184.93/185.27 (step @p159 :rule process_scope :premises (@p189) :args (@t80)) % 184.93/185.27 (step @p167 :rule implies_elim :premises (@p159)) % 184.93/185.27 (step @p168 :rule resolution :premises (@p167 @p146) :args (true @t80)) % 184.93/185.27 (step @p169 :rule not_and :premises (@p168)) % 184.93/185.27 (step @p170 :rule eq_resolve :premises (@p169 @p119)) % 184.93/185.27 (step @p171 false :rule chain_m_resolution :premises (@p170 @p111 @p110 @p108 @p107 @p105 @p104 @p101) :args (false (@list false false false false false false true) (@list @t62 @t68 @t70 @t72 @t74 @t76 @t78))) % 184.93/185.27 ) % 184.93/185.27 % SZS output end Proof % 184.93/185.27 % cvc5 exiting %------------------------------------------------------------------------------