%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR145^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:13:07 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR145^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n025.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 21:58:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.lCorina_THFTYPE_i $$unsorted) % 0.36/0.60 (declare-const tptp.lChris_THFTYPE_i $$unsorted) % 0.36/0.60 (declare-const tptp.inverse_THFTYPE_IIiioIIiioIoI (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 0.36/0.60 (declare-const tptp.husband_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.wife_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (define @t1 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI)) % 0.36/0.60 (define @t2 () (@var "INST1" $$unsorted)) % 0.36/0.60 (define @t3 () (@var "INST2" $$unsorted)) % 0.36/0.60 (define @t4 () (@var "REL2" (-> $$unsorted $$unsorted Bool))) % 0.36/0.60 (define @t5 () (_ (_ @t4 @t3) @t2)) % 0.36/0.60 (define @t6 () (@var "REL1" (-> $$unsorted $$unsorted Bool))) % 0.36/0.60 (define @t7 () (_ (_ @t6 @t2) @t3)) % 0.36/0.60 (define @t8 () (= @t7 @t5)) % 0.36/0.60 (define @t9 () (@list @t2 @t3)) % 0.36/0.60 (define @t10 () (forall @t9 @t8)) % 0.36/0.60 (define @t11 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI @t6) @t4)) % 0.36/0.60 (define @t12 () (=> @t11 @t10)) % 0.36/0.60 (define @t13 () (@list @t4 @t6)) % 0.36/0.60 (define @t14 () (forall @t13 @t12)) % 0.36/0.60 (define @t15 () (@var "X" $$unsorted)) % 0.36/0.60 (define @t16 () (_ (_ tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i) @t15)) % 0.36/0.60 (define @t17 () (not @t16)) % 0.36/0.60 (define @t18 () (@list @t15)) % 0.36/0.60 (define @t19 () (exists @t18 @t17)) % 0.36/0.60 (define @t20 () (_ (_ tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i) tptp.lChris_THFTYPE_i)) % 0.36/0.60 (define @t21 () (@var "Y" $$unsorted)) % 0.36/0.60 (define @t22 () (lambda (@list @t15 @t21) true)) % 0.36/0.60 (define @t23 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.60 (define @t24 () (= @t23 @t22)) % 0.36/0.60 (define @t25 () (not @t24)) % 0.36/0.60 (define @t26 () (_ (_ @t23 tptp.lChris_THFTYPE_i) tptp.lCorina_THFTYPE_i)) % 0.36/0.60 (define @t27 () (and @t26 @t25)) % 0.36/0.60 (define @t28 () (@list @t23)) % 0.36/0.60 (define @t29 () (exists @t28 @t27)) % 0.36/0.60 (define @t30 () (not @t29)) % 0.36/0.60 (define @t31 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 0.36/0.60 (define @t32 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 0.36/0.60 (define @t33 () (lambda (@list @t32 @t31) true)) % 0.36/0.60 (define @t34 () (= @t23 @t33)) % 0.36/0.60 (define @t35 () (_ @t23 tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.36/0.60 (define @t36 () (forall @t28 (or (not @t35) @t34))) % 0.36/0.60 (define @t37 () (not @t26)) % 0.36/0.60 (define @t38 () (or @t37 @t34)) % 0.36/0.60 (define @t39 () (not @t34)) % 0.36/0.60 (define @t40 () (and @t26 @t39)) % 0.36/0.60 (define @t41 () (forall @t28 (not @t40))) % 0.36/0.60 (define @t42 () (not @t41)) % 0.36/0.60 (define @t43 () (@purify @t33)) % 0.36/0.60 (define @t44 () (= tptp.husband_THFTYPE_IiioI @t33)) % 0.36/0.60 (define @t45 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.36/0.60 (define @t46 () (not @t45)) % 0.36/0.60 (define @t47 () (or @t46 @t44)) % 0.36/0.60 (define @t48 () (= tptp.husband_THFTYPE_IiioI @t43)) % 0.36/0.60 (define @t49 () (or @t46 @t48)) % 0.36/0.60 (define @t50 () (@list false)) % 0.36/0.60 (define @t51 () (@list @t36)) % 0.36/0.60 (define @t52 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.36/0.60 (define @t53 () (@var "BOUND_VARIABLE_7469" $$unsorted)) % 0.36/0.60 (define @t54 () (= (_ @t6 @t52 @t53) (_ @t4 @t53 @t52))) % 0.36/0.60 (define @t55 () (tptp.inverse_THFTYPE_IIiioIIiioIoI @t6 @t4)) % 0.36/0.60 (define @t56 () (not @t55)) % 0.36/0.60 (define @t57 () (or @t56 @t54)) % 0.36/0.60 (define @t58 () (forall (@list @t4 @t6 @t52 @t53) @t57)) % 0.36/0.60 (define @t59 () (@list @t52 @t53)) % 0.36/0.60 (define @t60 () (forall @t59 @t57)) % 0.36/0.60 (define @t61 () (forall @t59 @t54)) % 0.36/0.60 (define @t62 () (or @t56 @t61)) % 0.36/0.60 (define @t63 () (_ @t4 @t3 @t2)) % 0.36/0.60 (define @t64 () (_ @t6 @t2 @t3)) % 0.36/0.60 (define @t65 () (forall @t9 (= @t64 @t63))) % 0.36/0.60 (define @t66 () (not @t11)) % 0.36/0.60 (define @t67 () (or @t66 @t65)) % 0.36/0.60 (define @t68 () (tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i tptp.lChris_THFTYPE_i)) % 0.36/0.60 (define @t69 () (tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI tptp.wife_THFTYPE_IiioI)) % 0.36/0.60 (define @t70 () (not @t69)) % 0.36/0.60 (define @t71 () (or @t70 (= @t45 @t68))) % 0.36/0.60 (define @t72 () (= @t68 @t45)) % 0.36/0.60 (define @t73 () (or @t70 @t72)) % 0.36/0.60 (define @t74 () (@list false false)) % 0.36/0.60 (define @t75 () (@var "BOUND_VARIABLE_7660" $$unsorted)) % 0.36/0.60 (define @t76 () (lambda (@list @t75 (@var "BOUND_VARIABLE_7661" $$unsorted)) (tptp.husband_THFTYPE_IiioI @t75 tptp.lCorina_THFTYPE_i))) % 0.36/0.60 (define @t77 () (@purify @t76)) % 0.36/0.60 (define @t78 () (= @t33 @t76)) % 0.36/0.60 (define @t79 () (or @t46 @t78)) % 0.36/0.60 (define @t80 () (_ @t76 tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.36/0.60 (define @t81 () (not @t80)) % 0.36/0.60 (define @t82 () (or @t81 (= @t76 @t33))) % 0.36/0.60 (define @t83 () (= @t43 @t77)) % 0.36/0.60 (define @t84 () (or @t46 @t83)) % 0.36/0.60 (define @t85 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i @t15)) % 0.36/0.60 (define @t86 () (forall @t18 (not @t17))) % 0.36/0.60 (define @t87 () (not @t86)) % 0.36/0.60 (define @t88 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i (@quantifiers_skolemize (forall @t18 @t85) 0))) % 0.36/0.60 (define @t89 () (= @t88 @t45)) % 0.36/0.60 (define @t90 () (not @t89)) % 0.36/0.60 (define @t91 () (= tptp.husband_THFTYPE_IiioI @t77)) % 0.36/0.60 (define @t92 () (and @t48 @t83)) % 0.36/0.60 (assume @p1 @t1) % 0.36/0.60 (assume @p2 @t14) % 0.36/0.60 (assume @p3 @t19) % 0.36/0.60 (assume @p4 @t20) % 0.36/0.60 (assume @p5 @t30) % 0.36/0.60 (assume @p6 true) % 0.36/0.60 (step @p7 :rule bool-double-not-elim :args (@t36)) % 0.36/0.60 (step @p8 :rule refl :args (@t34)) % 0.36/0.60 (step @p9 :rule refl :args (@t35)) % 0.36/0.60 (step @p10 :rule refl :args (@t26)) % 0.36/0.60 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t26 @t35))) % 0.36/0.60 (step @p12 :rule symm :premises (@p11)) % 0.36/0.60 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.36/0.60 (step @p14 :rule cong :premises (@p13) :args (@t37)) % 0.36/0.60 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t38)) % 0.36/0.60 (step @p16 :rule cong :premises (@p15) :args ((forall @t28 @t38))) % 0.36/0.60 (step @p17 :rule bool-double-not-elim :args (@t34)) % 0.36/0.60 (step @p18 :rule refl :args (@t37)) % 0.36/0.60 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t37 (not @t39)))) % 0.36/0.60 (step @p20 :rule bool-and-de-morgan :args (@t26 @t39 true)) % 0.36/0.60 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.60 (step @p22 :rule cong :premises (@p21) :args (@t41)) % 0.36/0.60 (step @p23 :rule trans :premises (@p22 @p16)) % 0.36/0.60 (step @p24 :rule cong :premises (@p23) :args (@t42)) % 0.36/0.60 (step @p25 :rule exists-elim :args ((= (exists @t28 @t40) @t42))) % 0.36/0.60 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.60 (step @p27 :rule refl :args (@t33)) % 0.36/0.60 (step @p28 :rule symm :premises (@p27)) % 0.36/0.60 (step @p29 :rule alpha_equiv :args (@t22 (@list @t15 @t21) (@list @t32 @t31))) % 0.36/0.60 (step @p30 :rule trans :premises (@p29 @p28)) % 0.36/0.60 (step @p31 :rule refl :args (@t23)) % 0.36/0.61 (step @p32 :rule cong :premises (@p31 @p30) :args (@t24)) % 0.36/0.61 (step @p33 :rule cong :premises (@p32) :args (@t25)) % 0.36/0.61 (step @p34 :rule refl :args (@t26)) % 0.36/0.61 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t27)) % 0.36/0.61 (step @p36 :rule cong :premises (@p35) :args (@t29)) % 0.36/0.61 (step @p37 :rule trans :premises (@p36 @p26)) % 0.36/0.61 (step @p38 :rule cong :premises (@p37) :args (@t30)) % 0.36/0.61 (step @p39 :rule trans :premises (@p38 @p7)) % 0.36/0.61 (step @p40 :rule eq_resolve :premises (@p5 @p39)) % 0.36/0.61 (step @p41 :rule eq-refl :args (@t33)) % 0.36/0.61 (step @p42 :rule refl :args (@t33)) % 0.36/0.61 (step @p43 :rule cong :premises (@p42 @p28) :args ((= @t33 @t33))) % 0.36/0.61 (step @p44 :rule trans :premises (@p43 @p41)) % 0.36/0.61 (step @p45 :rule skolem_intro :args (@t43)) % 0.36/0.61 (step @p46 :rule cong :premises (@p42 @p45) :args ((= @t33 @t43))) % 0.36/0.61 (step @p47 :rule trans :premises (@p46 @p44)) % 0.36/0.61 (step @p48 :rule true_elim :premises (@p47)) % 0.36/0.61 (step @p49 :rule refl :args (tptp.husband_THFTYPE_IiioI)) % 0.36/0.61 (step @p50 :rule cong :premises (@p49 @p48) :args (@t44)) % 0.36/0.61 (step @p51 :rule refl :args (@t46)) % 0.36/0.61 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t47)) % 0.36/0.61 (step @p53 :rule refl :args (@t36)) % 0.36/0.61 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t36 @t47))) % 0.36/0.61 (assume-push @p189 @t36) % 0.36/0.61 (step @p56 :rule instantiate :premises (@p40) :args ((@list tptp.husband_THFTYPE_IiioI))) % 0.36/0.61 (step-pop @p190 :rule scope :premises (@p56)) % 0.36/0.61 (step @p57 :rule process_scope :premises (@p190) :args (@t47)) % 0.36/0.61 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.36/0.61 (step @p60 :rule implies_elim :premises (@p59)) % 0.36/0.61 (step @p61 :rule chain_m_resolution :premises (@p60 @p40) :args (@t49 @t50 @t51)) % 0.36/0.61 (step @p62 :rule quant-merge-prenex :args ((= (forall @t13 @t60) @t58))) % 0.36/0.61 (step @p63 :rule alpha_equiv :args (@t61 (@list @t52 @t53) (@list @t2 @t3))) % 0.36/0.61 (step @p64 :rule refl :args (@t56)) % 0.36/0.61 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t62)) % 0.36/0.61 (step @p66 :rule quant-miniscope-or :args ((= @t60 @t62))) % 0.36/0.61 (step @p67 :rule trans :premises (@p66 @p65)) % 0.36/0.61 (step @p68 :rule symm :premises (@p67)) % 0.36/0.61 (step @p69 :rule cong :premises (@p68) :args ((forall @t13 (or @t56 @t65)))) % 0.36/0.61 (step @p70 :rule trans :premises (@p69 @p62)) % 0.36/0.61 (step @p71 :rule refl :args (@t65)) % 0.36/0.61 (step @p72 :rule refl :args (@t55)) % 0.36/0.61 (step @p73 :rule refl :args (@t11)) % 0.36/0.61 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t11 @t55))) % 0.36/0.61 (step @p75 :rule symm :premises (@p74)) % 0.36/0.61 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.36/0.61 (step @p77 :rule cong :premises (@p76) :args (@t66)) % 0.36/0.61 (step @p78 :rule nary_cong :premises (@p77 @p71) :args (@t67)) % 0.36/0.61 (step @p79 :rule cong :premises (@p78) :args ((forall @t13 @t67))) % 0.36/0.61 (step @p80 :rule trans :premises (@p79 @p70)) % 0.36/0.61 (step @p81 :rule bool-impl-elim :args (@t11 @t65)) % 0.36/0.61 (step @p82 :rule cong :premises (@p81) :args ((forall @t13 (=> @t11 @t65)))) % 0.36/0.61 (step @p83 :rule trans :premises (@p82 @p80)) % 0.36/0.61 (step @p84 :rule refl :args (@t63)) % 0.36/0.61 (step @p85 :rule refl :args (@t5)) % 0.36/0.61 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t5 @t63))) % 0.36/0.61 (step @p87 :rule symm :premises (@p86)) % 0.36/0.61 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.36/0.61 (step @p89 :rule refl :args (@t64)) % 0.36/0.61 (step @p90 :rule refl :args (@t7)) % 0.36/0.61 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t7 @t64))) % 0.36/0.61 (step @p92 :rule symm :premises (@p91)) % 0.36/0.61 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.36/0.61 (step @p94 :rule cong :premises (@p93 @p88) :args (@t8)) % 0.36/0.61 (step @p95 :rule cong :premises (@p94) :args (@t10)) % 0.36/0.61 (step @p96 :rule refl :args (@t11)) % 0.36/0.61 (step @p97 :rule cong :premises (@p96 @p95) :args (@t12)) % 0.36/0.61 (step @p98 :rule cong :premises (@p97) :args (@t14)) % 0.36/0.61 (step @p99 :rule trans :premises (@p98 @p83)) % 0.36/0.61 (step @p100 :rule eq_resolve :premises (@p2 @p99)) % 0.36/0.61 (step @p101 :rule eq-symm :args (@t45 @t68)) % 0.36/0.61 (step @p102 :rule refl :args (@t70)) % 0.36/0.61 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t71)) % 0.36/0.61 (step @p104 :rule refl :args (@t58)) % 0.36/0.61 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t58 @t71))) % 0.36/0.61 (assume-push @p191 @t58) % 0.36/0.61 (step @p107 :rule instantiate :premises (@p100) :args ((@list tptp.wife_THFTYPE_IiioI tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i))) % 0.36/0.61 (step-pop @p192 :rule scope :premises (@p107)) % 0.36/0.61 (step @p108 :rule process_scope :premises (@p192) :args (@t71)) % 0.36/0.61 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.36/0.61 (step @p111 :rule implies_elim :premises (@p110)) % 0.36/0.61 (step @p112 :rule chain_m_resolution :premises (@p111 @p100) :args (@t73 @t50 (@list @t58))) % 0.36/0.61 (step @p113 :rule refl :args (@t69)) % 0.36/0.61 (step @p114 :rule refl :args (@t1)) % 0.36/0.61 (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t1 @t69))) % 0.36/0.61 (step @p116 :rule symm :premises (@p115)) % 0.36/0.61 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.36/0.61 (step @p118 :rule eq_resolve :premises (@p1 @p117)) % 0.36/0.61 (step @p119 :rule cnf_or_pos :args (@t73)) % 0.36/0.61 (step @p120 :rule reordering :premises (@p119) :args ((or @t70 @t72 (not @t73)))) % 0.36/0.61 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p112) :args (@t72 @t74 (@list @t69 @t73))) % 0.36/0.61 (step @p122 :rule refl :args (@t68)) % 0.36/0.61 (step @p123 :rule refl :args (@t20)) % 0.36/0.61 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t20 @t68))) % 0.36/0.61 (step @p125 :rule symm :premises (@p124)) % 0.36/0.61 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.36/0.61 (step @p127 :rule eq_resolve :premises (@p4 @p126)) % 0.36/0.61 (step @p128 :rule cnf_equiv_pos1 :args (@t72)) % 0.36/0.61 (step @p129 :rule reordering :premises (@p128) :args ((or (not @t68) @t45 (not @t72)))) % 0.36/0.61 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p121) :args (@t45 @t74 (@list @t68 @t72))) % 0.36/0.61 (step @p131 :rule cnf_or_pos :args (@t49)) % 0.36/0.61 (step @p132 :rule reordering :premises (@p131) :args ((or @t46 @t48 (not @t49)))) % 0.36/0.61 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p61) :args (@t48 @t74 (@list @t45 @t49))) % 0.36/0.61 (step @p134 :rule eq-refl :args (@t76)) % 0.36/0.61 (step @p135 :rule skolem_intro :args (@t77)) % 0.36/0.61 (step @p136 :rule refl :args (@t76)) % 0.36/0.61 (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t76 @t77))) % 0.36/0.61 (step @p138 :rule trans :premises (@p137 @p134)) % 0.36/0.61 (step @p139 :rule true_elim :premises (@p138)) % 0.36/0.61 (step @p140 :rule cong :premises (@p48 @p139) :args (@t78)) % 0.36/0.61 (step @p141 :rule nary_cong :premises (@p51 @p140) :args (@t79)) % 0.36/0.61 (step @p142 :rule cong :premises (@p53 @p141) :args ((=> @t36 @t79))) % 0.36/0.61 (step @p143 :rule eq-symm :args (@t76 @t33)) % 0.36/0.61 (step @p144 :rule beta-reduce :args ((= @t80 @t45))) % 0.36/0.61 (step @p145 :rule cong :premises (@p144) :args (@t81)) % 0.36/0.61 (step @p146 :rule nary_cong :premises (@p145 @p143) :args (@t82)) % 0.36/0.61 (step @p147 :rule cong :premises (@p53 @p146) :args ((=> @t36 @t82))) % 0.36/0.61 (assume-push @p193 @t36) % 0.36/0.61 (step @p149 :rule instantiate :premises (@p40) :args ((@list @t76))) % 0.36/0.61 (step-pop @p194 :rule scope :premises (@p149)) % 0.36/0.61 (step @p150 :rule process_scope :premises (@p194) :args (@t82)) % 0.36/0.61 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 0.36/0.61 (step @p153 :rule eq_resolve :premises (@p152 @p142)) % 0.36/0.61 (step @p154 :rule implies_elim :premises (@p153)) % 0.36/0.61 (step @p155 :rule chain_m_resolution :premises (@p154 @p40) :args (@t84 @t50 @t51)) % 0.36/0.61 (step @p156 :rule cnf_or_pos :args (@t84)) % 0.36/0.61 (step @p157 :rule reordering :premises (@p156) :args ((or @t46 @t83 (not @t84)))) % 0.36/0.61 (step @p158 :rule chain_m_resolution :premises (@p157 @p130 @p155) :args (@t83 @t74 (@list @t45 @t84))) % 0.36/0.61 (step @p159 :rule refl :args (@t85)) % 0.36/0.61 (step @p160 :rule refl :args (@t16)) % 0.36/0.61 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t16 @t85))) % 0.36/0.61 (step @p162 :rule symm :premises (@p161)) % 0.36/0.61 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.36/0.61 (step @p164 :rule cong :premises (@p163) :args ((forall @t18 @t16))) % 0.36/0.61 (step @p165 :rule bool-double-not-elim :args (@t16)) % 0.36/0.61 (step @p166 :rule cong :premises (@p165) :args (@t86)) % 0.36/0.61 (step @p167 :rule trans :premises (@p166 @p164)) % 0.36/0.61 (step @p168 :rule cong :premises (@p167) :args (@t87)) % 0.36/0.61 (step @p169 :rule exists-elim :args ((= @t19 @t87))) % 0.36/0.61 (step @p170 :rule trans :premises (@p169 @p168)) % 0.36/0.61 (step @p171 :rule eq_resolve :premises (@p3 @p170)) % 0.36/0.61 (step @p172 :rule skolemize :premises (@p171)) % 0.36/0.61 (step @p173 :rule cnf_equiv_pos2 :args (@t89)) % 0.36/0.61 (step @p174 :rule reordering :premises (@p173) :args ((or @t88 @t46 @t90))) % 0.36/0.61 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p130) :args (@t90 (@list true false) (@list @t88 @t45))) % 0.36/0.61 ; WARNING: add trust step for TRUST % 0.36/0.61 ; trust TRUST THEORY_LEMMA % 0.36/0.61 (step @p176 :rule trust :premises () :args ((=> @t91 @t89))) % 0.36/0.61 (step @p177 :rule implies_elim :premises (@p176)) % 0.36/0.61 (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args ((not @t91) (@list true) (@list @t89))) % 0.36/0.61 (assume-push @p195 @t48) % 0.36/0.61 (assume-push @p196 @t83) % 0.36/0.61 (step @p181 :rule trans :premises (@p133 @p158)) % 0.36/0.61 (step-pop @p197 :rule scope :premises (@p181)) % 0.36/0.61 (step-pop @p198 :rule scope :premises (@p197)) % 0.36/0.61 (step @p182 :rule process_scope :premises (@p198) :args (@t91)) % 0.36/0.61 (step @p185 :rule implies_elim :premises (@p182)) % 0.36/0.61 (step @p186 :rule cnf_and_neg :args (@t92)) % 0.36/0.61 (step @p187 :rule resolution :premises (@p186 @p185) :args (true @t92)) % 0.36/0.61 (step @p188 false :rule chain_m_resolution :premises (@p187 @p178 @p158 @p133) :args (false (@list true false false) (@list @t91 @t83 @t48))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------