%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR143^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:13:06 AM UTC 2026 % Result : Theorem 150.56s 150.84s % Output : Proof 150.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR143^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 21:59:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 150.56/150.84 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.56/150.84 --- 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... % 150.56/150.84 --- 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... % 150.56/150.84 --- Run --ho-elim --full-saturate-quant at 18s... % 150.56/150.84 % SZS status Theorem % 150.56/150.84 % SZS output start Proof % 150.56/150.84 ( % 150.56/150.84 (declare-sort $$unsorted 0) % 150.56/150.84 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 150.56/150.84 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 150.56/150.84 (declare-const tptp.lCorina_THFTYPE_i $$unsorted) % 150.56/150.84 (declare-const tptp.lChris_THFTYPE_i $$unsorted) % 150.56/150.84 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 150.56/150.84 (declare-const tptp.inverse_THFTYPE_IIiioIIiioIoI (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 150.56/150.84 (declare-const tptp.husband_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.56/150.84 (declare-const tptp.wife_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.56/150.84 (define @t1 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI)) % 150.56/150.84 (define @t2 () (@var "INST1" $$unsorted)) % 150.56/150.84 (define @t3 () (@var "INST2" $$unsorted)) % 150.56/150.84 (define @t4 () (@var "REL2" (-> $$unsorted $$unsorted Bool))) % 150.56/150.84 (define @t5 () (_ (_ @t4 @t3) @t2)) % 150.56/150.84 (define @t6 () (@var "REL1" (-> $$unsorted $$unsorted Bool))) % 150.56/150.84 (define @t7 () (_ (_ @t6 @t2) @t3)) % 150.56/150.84 (define @t8 () (= @t7 @t5)) % 150.56/150.84 (define @t9 () (@list @t2 @t3)) % 150.56/150.84 (define @t10 () (forall @t9 @t8)) % 150.56/150.84 (define @t11 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI @t6) @t4)) % 150.56/150.84 (define @t12 () (=> @t11 @t10)) % 150.56/150.84 (define @t13 () (@list @t4 @t6)) % 150.56/150.84 (define @t14 () (forall @t13 @t12)) % 150.56/150.84 (define @t15 () (@var "Z" $$unsorted)) % 150.56/150.84 (define @t16 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 150.56/150.84 (define @t17 () (_ tptp.holdsDuring_THFTYPE_IiooI @t16)) % 150.56/150.84 (define @t18 () (_ @t17 (_ (_ tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i) tptp.lChris_THFTYPE_i))) % 150.56/150.84 (define @t19 () (@var "X" $$unsorted)) % 150.56/150.84 (define @t20 () (_ (_ tptp.husband_THFTYPE_IiioI @t19) tptp.lCorina_THFTYPE_i)) % 150.56/150.84 (define @t21 () (_ @t17 @t20)) % 150.56/150.84 (define @t22 () (@list @t19)) % 150.56/150.84 (define @t23 () (exists @t22 @t21)) % 150.56/150.84 (define @t24 () (not @t23)) % 150.56/150.84 (define @t25 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.56/150.84 (define @t26 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.56/150.84 (define @t27 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.56/150.84 (define @t28 () (_ @t27 (_ @t26 @t25 tptp.lCorina_THFTYPE_i) tptp.lChris_THFTYPE_i)) % 150.56/150.84 (define @t29 () (@purify @t28)) % 150.56/150.84 (define @t30 () (_ (@const 6 (-> (@ho-elim-sort (-> $$unsorted Bool Bool)) $$unsorted (@ho-elim-sort (-> Bool Bool)))) (@const 5 (@ho-elim-sort (-> $$unsorted Bool Bool))) (_ (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)) (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted))) tptp.n2009_THFTYPE_i))) % 150.56/150.84 (define @t31 () (@const 7 (-> (@ho-elim-sort (-> Bool Bool)) Bool Bool))) % 150.56/150.84 (define @t32 () (_ @t31 @t30 @t28)) % 150.56/150.84 (define @t33 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.56/150.84 (define @t34 () (forall @t22 (not (_ @t31 @t30 (_ @t27 (_ @t26 @t33 @t19) tptp.lCorina_THFTYPE_i))))) % 150.56/150.84 (define @t35 () (tptp.husband_THFTYPE_IiioI @t19 tptp.lCorina_THFTYPE_i)) % 150.56/150.84 (define @t36 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 150.56/150.84 (define @t37 () (tptp.holdsDuring_THFTYPE_IiooI @t36 @t35)) % 150.56/150.84 (define @t38 () (forall @t22 (not @t37))) % 150.56/150.84 (define @t39 () (not @t21)) % 150.56/150.84 (define @t40 () (forall @t22 @t39)) % 150.56/150.84 (define @t41 () (not @t40)) % 150.56/150.84 (define @t42 () (_ @t27 (_ @t26 @t33 tptp.lChris_THFTYPE_i) tptp.lCorina_THFTYPE_i)) % 150.56/150.84 (define @t43 () (@purify @t42)) % 150.56/150.84 (define @t44 () (_ @t31 @t30 @t42)) % 150.56/150.84 (define @t45 () (not @t44)) % 150.56/150.84 (define @t46 () (_ @t31 @t30 @t43)) % 150.56/150.84 (define @t47 () (not @t46)) % 150.56/150.84 (define @t48 () (not @t28)) % 150.56/150.84 (define @t49 () (@var "BOUND_VARIABLE_7473" $$unsorted)) % 150.56/150.84 (define @t50 () (@var "BOUND_VARIABLE_7471" $$unsorted)) % 150.56/150.84 (define @t51 () (@var "BOUND_VARIABLE_7526" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.56/150.84 (define @t52 () (_ @t27 (_ @t26 @t51 @t50) @t49)) % 150.56/150.84 (define @t53 () (@var "BOUND_VARIABLE_7519" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.56/150.84 (define @t54 () (_ @t27 (_ @t26 @t53 @t49) @t50)) % 150.56/150.84 (define @t55 () (@const 9 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool)))) % 150.56/150.84 (define @t56 () (@const 10 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool))))) % 150.56/150.84 (define @t57 () (@const 11 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool))) % 150.56/150.84 (define @t58 () (not (_ @t57 (_ @t56 @t55 @t51) @t53))) % 150.56/150.84 (define @t59 () (or @t58 (= @t52 @t54))) % 150.56/150.84 (define @t60 () (forall (@list @t53 @t51 @t50 @t49) @t59)) % 150.56/150.84 (define @t61 () (= (_ @t6 @t50 @t49) (_ @t4 @t49 @t50))) % 150.56/150.84 (define @t62 () (tptp.inverse_THFTYPE_IIiioIIiioIoI @t6 @t4)) % 150.56/150.84 (define @t63 () (not @t62)) % 150.56/150.84 (define @t64 () (or @t63 @t61)) % 150.56/150.84 (define @t65 () (forall (@list @t4 @t6 @t50 @t49) @t64)) % 150.56/150.84 (define @t66 () (@list @t50 @t49)) % 150.56/150.84 (define @t67 () (forall @t66 @t64)) % 150.56/150.84 (define @t68 () (forall @t66 @t61)) % 150.56/150.84 (define @t69 () (or @t63 @t68)) % 150.56/150.84 (define @t70 () (_ @t4 @t3 @t2)) % 150.56/150.84 (define @t71 () (_ @t6 @t2 @t3)) % 150.56/150.84 (define @t72 () (forall @t9 (= @t71 @t70))) % 150.56/150.84 (define @t73 () (not @t11)) % 150.56/150.84 (define @t74 () (or @t73 @t72)) % 150.56/150.84 (define @t75 () (_ @t57 (_ @t56 @t55 @t33) @t25)) % 150.56/150.84 (define @t76 () (= @t28 @t42)) % 150.56/150.84 (define @t77 () (not @t75)) % 150.56/150.84 (define @t78 () (or @t77 @t76)) % 150.56/150.84 (define @t79 () (not @t76)) % 150.56/150.84 (define @t80 () (not @t43)) % 150.56/150.84 (define @t81 () (_ @t31 @t30 @t29)) % 150.56/150.84 (define @t82 () (not @t81)) % 150.56/150.84 (define @t83 () (not @t29)) % 150.56/150.84 (define @t84 () (not @t47)) % 150.56/150.84 (define @t85 () (= false true)) % 150.56/150.84 (define @t86 () (and @t81 @t29 @t43 @t47)) % 150.56/150.84 (define @t87 () (@list true)) % 150.56/150.84 (define @t88 () (not @t42)) % 150.56/150.84 (define @t89 () (and @t81 @t83 @t80 @t47)) % 150.56/150.84 (assume @p1 @t1) % 150.56/150.84 (assume @p2 @t14) % 150.56/150.84 (assume @p3 (forall (@list @t15) (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t15) true))) % 150.56/150.84 (assume @p4 @t18) % 150.56/150.84 (assume @p5 @t24) % 150.56/150.84 (assume @p6 true) % 150.56/150.84 (step @p7 :rule eq-refl :args (@t28)) % 150.56/150.84 (step @p8 :rule skolem_intro :args (@t29)) % 150.56/150.84 (step @p9 :rule refl :args (@t28)) % 150.56/150.84 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t28 @t29))) % 150.56/150.84 (step @p11 :rule trans :premises (@p10 @p7)) % 150.56/150.84 (step @p12 :rule true_elim :premises (@p11)) % 150.56/150.84 (step @p13 :rule refl :args (@t30)) % 150.56/150.84 (step @p14 :rule cong :premises (@p13 @p12) :args (@t32)) % 150.56/150.84 ; WARNING: add trust step for TRUST % 150.56/150.84 ; trust TRUST PREPROCESS_HO_ELIM % 150.56/150.84 (step @p15 :rule trust :premises () :args ((= @t18 @t32))) % 150.56/150.84 (step @p16 :rule trans :premises (@p15 @p14)) % 150.56/150.84 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 150.56/150.84 ; trust TRUST PREPROCESS_HO_ELIM % 150.56/150.84 (step @p18 :rule trust :premises () :args ((= @t38 @t34))) % 150.56/150.84 (step @p19 :rule bool-double-not-elim :args (@t38)) % 150.56/150.84 (step @p20 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t16 @t20))) % 150.56/150.84 (step @p21 :rule refl :args (@t35)) % 150.56/150.84 (step @p22 :rule refl :args (@t36)) % 150.56/150.84 (step @p23 :rule cong :premises (@p22 @p21) :args (@t37)) % 150.56/150.84 (step @p24 :rule trans :premises (@p23 @p20)) % 150.56/150.84 (step @p25 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 150.56/150.84 (step @p26 :rule ho_cong :premises (@p25 @p22)) % 150.56/150.84 (step @p27 :rule ho_cong :premises (@p26 @p21)) % 150.56/150.84 (step @p28 :rule cong :premises (@p27 @p24) :args ((= (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t36) @t35) @t37))) % 150.56/150.84 (step @p29 :rule symm :premises (@p28)) % 150.56/150.84 (step @p30 :rule refl :args (@t21)) % 150.56/150.84 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 150.56/150.84 (step @p32 :rule refl :args (@t20)) % 150.56/150.84 (step @p33 :rule cong :premises (@p32 @p21) :args ((= @t20 @t35))) % 150.56/150.84 (step @p34 :rule symm :premises (@p33)) % 150.56/150.84 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 150.56/150.84 (step @p36 :rule refl :args (@t16)) % 150.56/150.84 (step @p37 :rule cong :premises (@p36 @p22) :args ((= @t16 @t36))) % 150.56/150.84 (step @p38 :rule symm :premises (@p37)) % 150.56/150.84 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 150.56/150.84 (step @p40 :rule ho_cong :premises (@p25 @p39)) % 150.56/150.84 (step @p41 :rule ho_cong :premises (@p40 @p35)) % 150.56/150.84 (step @p42 :rule trans :premises (@p41 @p31)) % 150.56/150.84 (step @p43 :rule cong :premises (@p42) :args (@t39)) % 150.56/150.84 (step @p44 :rule cong :premises (@p43) :args (@t40)) % 150.56/150.84 (step @p45 :rule cong :premises (@p44) :args (@t41)) % 150.56/150.84 (step @p46 :rule exists-elim :args ((= @t23 @t41))) % 150.56/150.84 (step @p47 :rule trans :premises (@p46 @p45)) % 150.56/150.84 (step @p48 :rule cong :premises (@p47) :args (@t24)) % 150.56/150.84 (step @p49 :rule trans :premises (@p48 @p19)) % 150.56/150.84 (step @p50 :rule trans :premises (@p49 @p18)) % 150.56/150.84 (step @p51 :rule eq_resolve :premises (@p5 @p50)) % 150.56/150.84 (step @p52 :rule eq-refl :args (@t42)) % 150.56/150.84 (step @p53 :rule skolem_intro :args (@t43)) % 150.56/150.84 (step @p54 :rule refl :args (@t42)) % 150.56/150.84 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t42 @t43))) % 150.56/150.84 (step @p56 :rule trans :premises (@p55 @p52)) % 150.56/150.84 (step @p57 :rule true_elim :premises (@p56)) % 150.56/150.84 (step @p58 :rule cong :premises (@p13 @p57) :args (@t44)) % 150.56/150.84 (step @p59 :rule cong :premises (@p58) :args (@t45)) % 150.56/150.84 (step @p60 :rule refl :args (@t34)) % 150.56/150.84 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t34 @t45))) % 150.56/150.84 (assume-push @p208 @t34) % 150.56/150.84 (step @p63 :rule instantiate :premises (@p51) :args ((@list tptp.lChris_THFTYPE_i))) % 150.56/150.84 (step-pop @p209 :rule scope :premises (@p63)) % 150.56/150.84 (step @p64 :rule process_scope :premises (@p209) :args (@t45)) % 150.56/150.84 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 150.56/150.84 (step @p67 :rule implies_elim :premises (@p66)) % 150.56/150.84 (step @p68 :rule chain_m_resolution :premises (@p67 @p51) :args (@t47 (@list false) (@list @t34))) % 150.56/150.84 (step @p69 :rule equiv_elim1 :premises (@p12)) % 150.56/150.84 (step @p70 :rule reordering :premises (@p69) :args ((or @t29 @t48))) % 150.56/150.84 (step @p71 :rule eq-symm :args (@t52 @t54)) % 150.56/150.84 (step @p72 :rule refl :args (@t58)) % 150.56/150.84 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t59)) % 150.56/150.84 (step @p74 :rule cong :premises (@p73) :args (@t60)) % 150.56/150.84 ; trust TRUST PREPROCESS_HO_ELIM % 150.56/150.84 (step @p75 :rule trust :premises () :args ((= @t65 @t60))) % 150.56/150.84 (step @p76 :rule quant-merge-prenex :args ((= (forall @t13 @t67) @t65))) % 150.56/150.84 (step @p77 :rule alpha_equiv :args (@t68 (@list @t50 @t49) (@list @t2 @t3))) % 150.56/150.84 (step @p78 :rule refl :args (@t63)) % 150.56/150.84 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t69)) % 150.56/150.84 (step @p80 :rule quant-miniscope-or :args ((= @t67 @t69))) % 150.56/150.84 (step @p81 :rule trans :premises (@p80 @p79)) % 150.56/150.84 (step @p82 :rule symm :premises (@p81)) % 150.56/150.84 (step @p83 :rule cong :premises (@p82) :args ((forall @t13 (or @t63 @t72)))) % 150.56/150.84 (step @p84 :rule trans :premises (@p83 @p76)) % 150.56/150.84 (step @p85 :rule refl :args (@t72)) % 150.56/150.84 (step @p86 :rule refl :args (@t62)) % 150.56/150.84 (step @p87 :rule refl :args (@t11)) % 150.56/150.84 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t11 @t62))) % 150.56/150.84 (step @p89 :rule symm :premises (@p88)) % 150.56/150.84 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 150.56/150.84 (step @p91 :rule cong :premises (@p90) :args (@t73)) % 150.56/150.84 (step @p92 :rule nary_cong :premises (@p91 @p85) :args (@t74)) % 150.56/150.84 (step @p93 :rule cong :premises (@p92) :args ((forall @t13 @t74))) % 150.56/150.84 (step @p94 :rule trans :premises (@p93 @p84)) % 150.56/150.84 (step @p95 :rule bool-impl-elim :args (@t11 @t72)) % 150.56/150.84 (step @p96 :rule cong :premises (@p95) :args ((forall @t13 (=> @t11 @t72)))) % 150.56/150.84 (step @p97 :rule trans :premises (@p96 @p94)) % 150.56/150.84 (step @p98 :rule refl :args (@t70)) % 150.56/150.84 (step @p99 :rule refl :args (@t5)) % 150.56/150.84 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t5 @t70))) % 150.56/150.84 (step @p101 :rule symm :premises (@p100)) % 150.56/150.84 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 150.56/150.84 (step @p103 :rule refl :args (@t71)) % 150.56/150.84 (step @p104 :rule refl :args (@t7)) % 150.56/150.84 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t7 @t71))) % 150.56/150.84 (step @p106 :rule symm :premises (@p105)) % 150.56/150.84 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 150.56/150.84 (step @p108 :rule cong :premises (@p107 @p102) :args (@t8)) % 150.56/150.84 (step @p109 :rule cong :premises (@p108) :args (@t10)) % 150.56/150.84 (step @p110 :rule refl :args (@t11)) % 150.56/150.84 (step @p111 :rule cong :premises (@p110 @p109) :args (@t12)) % 150.56/150.84 (step @p112 :rule cong :premises (@p111) :args (@t14)) % 150.56/150.84 (step @p113 :rule trans :premises (@p112 @p97)) % 150.56/150.84 (step @p114 :rule trans :premises (@p113 @p75 @p74)) % 150.56/150.84 (step @p115 :rule eq_resolve :premises (@p2 @p114)) % 150.56/150.84 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t25 @t33 tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i))) % 150.56/150.84 ; trust TRUST PREPROCESS_HO_ELIM % 150.56/150.84 (step @p117 :rule trust :premises () :args ((= @t1 @t75))) % 150.56/150.84 (step @p118 :rule eq_resolve :premises (@p1 @p117)) % 150.56/150.84 (step @p119 :rule cnf_or_pos :args (@t78)) % 150.56/150.84 (step @p120 :rule reordering :premises (@p119) :args ((or @t77 @t76 (not @t78)))) % 150.56/150.84 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p116) :args (@t76 (@list false false) (@list @t75 @t78))) % 150.56/150.84 (step @p122 :rule cnf_equiv_pos1 :args (@t76)) % 150.56/150.84 (step @p123 :rule reordering :premises (@p122) :args ((or @t48 @t42 @t79))) % 150.56/150.84 (step @p124 :rule equiv_elim1 :premises (@p57)) % 150.56/150.84 (step @p125 :rule bool-double-not-elim :args (@t46)) % 150.56/150.84 (step @p126 :rule refl :args (@t80)) % 150.56/150.84 (step @p127 :rule refl :args (@t82)) % 150.56/150.84 (step @p128 :rule refl :args (@t83)) % 150.56/150.84 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125) :args ((or @t83 @t82 @t80 @t84))) % 150.56/150.84 (assume-push @p210 @t81) % 150.56/150.84 (assume-push @p211 @t29) % 150.56/150.84 (assume-push @p212 @t43) % 150.56/150.84 (assume-push @p213 @t47) % 150.56/150.84 (step @p134 :rule evaluate :args (@t85)) % 150.56/150.84 (step @p135 :rule true_intro :premises (@p17)) % 150.56/150.84 (step @p136 :rule true_intro :premises (@p211)) % 150.56/150.84 (step @p137 :rule symm :premises (@p136)) % 150.56/150.84 (step @p138 :rule true_intro :premises (@p212)) % 150.56/150.84 (step @p139 :rule trans :premises (@p138 @p137)) % 150.56/150.84 (step @p140 :rule cong :premises (@p13 @p139) :args (@t46)) % 150.56/150.84 (step @p141 :rule false_intro :premises (@p68)) % 150.56/150.84 (step @p142 :rule symm :premises (@p141)) % 150.56/150.84 (step @p143 :rule trans :premises (@p142 @p140 @p135)) % 150.56/150.84 (step @p144 false :rule eq_resolve :premises (@p143 @p134)) % 150.56/150.84 (step-pop @p214 :rule scope :premises (@p144)) % 150.56/150.84 (step-pop @p215 :rule scope :premises (@p214)) % 150.56/150.84 (step-pop @p216 :rule scope :premises (@p215)) % 150.56/150.84 (step-pop @p217 :rule scope :premises (@p216)) % 150.56/150.84 (step @p145 :rule process_scope :premises (@p217) :args (false)) % 150.56/150.84 (assume-push @p218 @t29) % 150.56/150.84 (assume-push @p219 @t81) % 150.56/150.84 (assume-push @p220 @t43) % 150.56/150.84 (assume-push @p221 @t47) % 150.56/150.84 (step @p154 :rule and_intro :premises (@p17 @p218 @p220 @p68)) % 150.56/150.84 (step-pop @p222 :rule scope :premises (@p154)) % 150.56/150.84 (step-pop @p223 :rule scope :premises (@p222)) % 150.56/150.84 (step-pop @p224 :rule scope :premises (@p223)) % 150.56/150.84 (step-pop @p225 :rule scope :premises (@p224)) % 150.56/150.84 (step @p155 :rule process_scope :premises (@p225) :args (@t86)) % 150.56/150.84 (step @p160 :rule implies_elim :premises (@p155)) % 150.56/150.84 (step @p161 :rule resolution :premises (@p160 @p145) :args (true @t86)) % 150.56/150.84 (step @p162 :rule not_and :premises (@p161)) % 150.56/150.84 (step @p163 :rule eq_resolve :premises (@p162 @p129)) % 150.56/150.84 (step @p164 :rule reordering :premises (@p163) :args ((or @t82 @t83 @t46 @t80))) % 150.56/150.84 (step @p165 :rule chain_m_resolution :premises (@p164 @p68 @p17 @p124 @p123 @p121 @p70) :args (@t48 (@list true false false false false false) (@list @t46 @t81 @t43 @t42 @t76 @t29))) % 150.56/150.84 (step @p166 :rule equiv_elim2 :premises (@p12)) % 150.56/150.84 (step @p167 :rule chain_m_resolution :premises (@p166 @p165) :args (@t83 @t87 (@list @t28))) % 150.56/150.84 (step @p168 :rule cnf_equiv_pos2 :args (@t76)) % 150.56/150.84 (step @p169 :rule reordering :premises (@p168) :args ((or @t28 @t88 @t79))) % 150.56/150.84 (step @p170 :rule chain_m_resolution :premises (@p169 @p165 @p121) :args (@t88 (@list true false) (@list @t28 @t76))) % 150.56/150.84 (step @p171 :rule equiv_elim2 :premises (@p57)) % 150.56/150.84 (step @p172 :rule chain_m_resolution :premises (@p171 @p170) :args (@t80 @t87 (@list @t42))) % 150.56/150.84 (step @p173 :rule bool-double-not-elim :args (@t43)) % 150.56/150.84 (step @p174 :rule bool-double-not-elim :args (@t29)) % 150.56/150.84 (step @p175 :rule nary_cong :premises (@p127 @p174 @p125 @p173) :args ((or @t82 (not @t83) @t84 (not @t80)))) % 150.56/150.84 (assume-push @p226 @t81) % 150.56/150.84 (assume-push @p227 @t83) % 150.56/150.84 (assume-push @p228 @t80) % 150.56/150.84 (assume-push @p229 @t47) % 150.56/150.84 (step @p134 :rule evaluate :args (@t85)) % 150.56/150.84 (step @p135 :rule true_intro :premises (@p17)) % 150.56/150.84 (step @p180 :rule false_intro :premises (@p227)) % 150.56/150.84 (step @p181 :rule symm :premises (@p180)) % 150.56/150.84 (step @p182 :rule false_intro :premises (@p228)) % 150.56/150.84 (step @p183 :rule trans :premises (@p182 @p181)) % 150.56/150.84 (step @p184 :rule cong :premises (@p13 @p183) :args (@t46)) % 150.56/150.84 (step @p141 :rule false_intro :premises (@p68)) % 150.56/150.84 (step @p142 :rule symm :premises (@p141)) % 150.56/150.84 (step @p185 :rule trans :premises (@p142 @p184 @p135)) % 150.56/150.84 (step @p186 false :rule eq_resolve :premises (@p185 @p134)) % 150.56/150.84 (step-pop @p230 :rule scope :premises (@p186)) % 150.56/150.84 (step-pop @p231 :rule scope :premises (@p230)) % 150.56/150.84 (step-pop @p232 :rule scope :premises (@p231)) % 150.56/150.84 (step-pop @p233 :rule scope :premises (@p232)) % 150.56/150.84 (step @p187 :rule process_scope :premises (@p233) :args (false)) % 150.56/150.84 (assume-push @p234 @t81) % 150.56/150.84 (assume-push @p235 @t83) % 150.56/150.84 (assume-push @p236 @t47) % 150.56/150.84 (assume-push @p237 @t80) % 150.56/150.84 (step @p196 :rule and_intro :premises (@p17 @p235 @p237 @p68)) % 150.56/150.84 (step-pop @p238 :rule scope :premises (@p196)) % 150.56/150.84 (step-pop @p239 :rule scope :premises (@p238)) % 150.56/150.84 (step-pop @p240 :rule scope :premises (@p239)) % 150.56/150.84 (step-pop @p241 :rule scope :premises (@p240)) % 150.56/150.84 (step @p197 :rule process_scope :premises (@p241) :args (@t89)) % 150.56/150.84 (step @p202 :rule implies_elim :premises (@p197)) % 150.56/150.84 (step @p203 :rule resolution :premises (@p202 @p187) :args (true @t89)) % 150.56/150.84 (step @p204 :rule not_and :premises (@p203)) % 150.56/150.84 (step @p205 :rule eq_resolve :premises (@p204 @p175)) % 150.56/150.84 (step @p206 :rule reordering :premises (@p205) :args ((or @t29 @t82 @t43 @t46))) % 150.56/150.84 (step @p207 false :rule chain_m_resolution :premises (@p206 @p172 @p167 @p68 @p17) :args (false (@list true true true false) (@list @t43 @t29 @t46 @t81))) % 150.56/150.84 ) % 150.56/150.84 % SZS output end Proof % 150.56/150.84 % cvc5 exiting %------------------------------------------------------------------------------