%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN352+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:08:39 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN352+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 23:25:28 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Y2" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.big_f @t2 @t1)) % 0.38/0.58 (define @t4 () (@var "Y1" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.big_f @t4 @t1)) % 0.38/0.58 (define @t6 () (tptp.big_f @t4 @t2)) % 0.38/0.58 (define @t7 () (and @t6 (= @t5 @t3))) % 0.38/0.58 (define @t8 () (tptp.big_f @t1 @t1)) % 0.38/0.58 (define @t9 () (@var "X2" $$unsorted)) % 0.38/0.58 (define @t10 () (tptp.big_f @t9 @t1)) % 0.38/0.58 (define @t11 () (=> @t6 (= @t10 @t5))) % 0.38/0.58 (define @t12 () (=> @t11 @t8)) % 0.38/0.58 (define @t13 () (=> @t12 @t7)) % 0.38/0.58 (define @t14 () (or @t10 @t3)) % 0.38/0.58 (define @t15 () (=> @t6 @t14)) % 0.38/0.58 (define @t16 () (=> @t15 @t13)) % 0.38/0.58 (define @t17 () (@var "X1" $$unsorted)) % 0.38/0.58 (define @t18 () (tptp.big_f @t17 @t9)) % 0.38/0.58 (define @t19 () (=> @t18 @t16)) % 0.38/0.58 (define @t20 () (@list @t1)) % 0.38/0.58 (define @t21 () (forall @t20 @t19)) % 0.38/0.58 (define @t22 () (@list @t4 @t2)) % 0.38/0.58 (define @t23 () (exists @t22 @t21)) % 0.38/0.58 (define @t24 () (@list @t17 @t9)) % 0.38/0.58 (define @t25 () (forall @t24 @t23)) % 0.38/0.58 (define @t26 () (not @t25)) % 0.38/0.58 (define @t27 () (@var "BOUND_VARIABLE_7471" $$unsorted)) % 0.38/0.58 (define @t28 () (tptp.big_f @t27 @t1)) % 0.38/0.58 (define @t29 () (@var "BOUND_VARIABLE_7473" $$unsorted)) % 0.38/0.58 (define @t30 () (tptp.big_f @t29 @t1)) % 0.38/0.58 (define @t31 () (tptp.big_f @t27 @t29)) % 0.38/0.58 (define @t32 () (and @t31 (= @t30 @t28))) % 0.38/0.58 (define @t33 () (not @t8)) % 0.38/0.58 (define @t34 () (not @t31)) % 0.38/0.58 (define @t35 () (not @t30)) % 0.38/0.58 (define @t36 () (not @t10)) % 0.38/0.58 (define @t37 () (and @t31 @t36 @t35)) % 0.38/0.58 (define @t38 () (@list @t27 @t29)) % 0.38/0.58 (define @t39 () (forall @t38 (not (forall @t20 (or @t37 (and (or @t34 (= @t10 @t28)) @t33) @t32))))) % 0.38/0.58 (define @t40 () (or @t34 (= @t28 @t10))) % 0.38/0.58 (define @t41 () (and @t40 @t33)) % 0.38/0.58 (define @t42 () (or @t37 @t41 @t32)) % 0.38/0.58 (define @t43 () (forall @t20 @t42)) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (forall @t38 @t44)) % 0.38/0.58 (define @t46 () (and @t6 (= @t3 @t5))) % 0.38/0.58 (define @t47 () (= @t5 @t10)) % 0.38/0.58 (define @t48 () (and (or (not @t6) @t47) @t33)) % 0.38/0.58 (define @t49 () (not @t3)) % 0.38/0.58 (define @t50 () (and @t6 @t36 @t49)) % 0.38/0.58 (define @t51 () (or @t50 @t48 @t46)) % 0.38/0.58 (define @t52 () (forall @t20 @t51)) % 0.38/0.58 (define @t53 () (not @t52)) % 0.38/0.58 (define @t54 () (forall @t22 @t53)) % 0.38/0.58 (define @t55 () (forall @t22 @t18)) % 0.38/0.58 (define @t56 () (and @t55 @t54)) % 0.38/0.58 (define @t57 () (not @t18)) % 0.38/0.58 (define @t58 () (or @t57 @t52)) % 0.38/0.58 (define @t59 () (forall @t22 (not @t58))) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (or @t57 @t51)) % 0.38/0.58 (define @t62 () (or @t57 @t50 @t48 @t46)) % 0.38/0.58 (define @t63 () (=> @t6 @t47)) % 0.38/0.58 (define @t64 () (=> @t63 @t8)) % 0.38/0.58 (define @t65 () (=> @t64 @t46)) % 0.38/0.58 (define @t66 () (=> @t15 @t65)) % 0.38/0.58 (define @t67 () (forall @t24 (or @t57 (not @t39)))) % 0.38/0.58 (define @t68 () (@quantifiers_skolemize @t67 1)) % 0.38/0.58 (define @t69 () (tptp.big_f @t68 @t1)) % 0.38/0.58 (define @t70 () (not @t69)) % 0.38/0.58 (define @t71 () (and @t31 @t70 @t35)) % 0.38/0.58 (define @t72 () (forall @t38 (not (forall @t20 (or @t71 (and (or @t34 (= @t28 @t69)) @t33) @t32))))) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (not (tptp.big_f (@quantifiers_skolemize @t67 0) @t68))) % 0.38/0.58 (define @t75 () (or @t74 @t73)) % 0.38/0.59 (define @t76 () (not @t75)) % 0.38/0.59 (define @t77 () (not @t67)) % 0.38/0.59 (define @t78 () (or @t34 (= @t69 @t28))) % 0.38/0.59 (define @t79 () (and @t78 @t33)) % 0.38/0.59 (define @t80 () (or @t71 @t79 @t32)) % 0.38/0.59 (define @t81 () (forall @t20 @t80)) % 0.38/0.59 (define @t82 () (not @t81)) % 0.38/0.59 (define @t83 () (forall @t38 @t82)) % 0.38/0.59 (define @t84 () (not @t83)) % 0.38/0.59 (define @t85 () (or @t74 @t84)) % 0.38/0.59 (define @t86 () (not @t85)) % 0.38/0.59 (define @t87 () (@list true)) % 0.38/0.59 (define @t88 () (tptp.big_f @t68 @t68)) % 0.38/0.59 (define @t89 () (and @t88 @t70)) % 0.38/0.59 (define @t90 () (or @t89 @t33)) % 0.38/0.59 (define @t91 () (forall @t20 @t90)) % 0.38/0.59 (define @t92 () (or @t88 @t91)) % 0.38/0.59 (define @t93 () (or @t88 @t90)) % 0.38/0.59 (define @t94 () (or @t89 @t33 @t88)) % 0.38/0.59 (define @t95 () (and @t88 @t70 @t70)) % 0.38/0.59 (define @t96 () (or @t95 @t33 @t88)) % 0.38/0.59 (define @t97 () (= @t69 @t69)) % 0.38/0.59 (define @t98 () (and @t88 @t97)) % 0.38/0.59 (define @t99 () (not @t88)) % 0.38/0.59 (define @t100 () (or @t99 @t97)) % 0.38/0.59 (define @t101 () (and @t100 @t33)) % 0.38/0.59 (define @t102 () (or @t95 @t101 @t98)) % 0.38/0.59 (define @t103 () (forall @t20 @t102)) % 0.38/0.59 (define @t104 () (not @t103)) % 0.38/0.59 (define @t105 () (@list false)) % 0.38/0.59 (define @t106 () (@quantifiers_skolemize @t91 0)) % 0.38/0.59 (define @t107 () (tptp.big_f @t106 @t106)) % 0.38/0.59 (define @t108 () (not @t107)) % 0.38/0.59 (define @t109 () (or (and @t88 (not (tptp.big_f @t68 @t106))) @t108)) % 0.38/0.59 (define @t110 () (tptp.big_f @t106 @t1)) % 0.38/0.59 (define @t111 () (and (or @t108 (= @t69 @t110)) @t33)) % 0.38/0.59 (define @t112 () (and @t107 @t70 (not @t110))) % 0.38/0.59 (define @t113 () (or @t112 @t111)) % 0.38/0.59 (define @t114 () (or @t107 (forall @t20 @t113))) % 0.38/0.59 (define @t115 () (or @t107 @t113)) % 0.38/0.59 (define @t116 () (or @t112 @t111 @t107)) % 0.38/0.59 (define @t117 () (and @t107 (= @t110 @t110))) % 0.38/0.59 (define @t118 () (or @t108 (= @t110 @t69))) % 0.38/0.59 (define @t119 () (and @t118 @t33)) % 0.38/0.59 (define @t120 () (or @t112 @t119 @t117)) % 0.38/0.59 (define @t121 () (forall @t20 @t120)) % 0.38/0.59 (define @t122 () (not @t121)) % 0.38/0.59 (assume @p1 @t26) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule bool-and-de-morgan :args (@t18 @t39 true)) % 0.38/0.59 (step @p4 :rule cong :premises (@p3) :args ((forall @t24 (not (and @t18 @t39))))) % 0.38/0.59 (step @p5 :rule refl :args (@t32)) % 0.38/0.59 (step @p6 :rule refl :args (@t33)) % 0.38/0.59 (step @p7 :rule eq-symm :args (@t28 @t10)) % 0.38/0.59 (step @p8 :rule refl :args (@t34)) % 0.38/0.59 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t40)) % 0.38/0.59 (step @p10 :rule nary_cong :premises (@p9 @p6) :args (@t41)) % 0.38/0.59 (step @p11 :rule refl :args (@t37)) % 0.38/0.59 (step @p12 :rule nary_cong :premises (@p11 @p10 @p5) :args (@t42)) % 0.38/0.59 (step @p13 :rule cong :premises (@p12) :args (@t43)) % 0.38/0.59 (step @p14 :rule cong :premises (@p13) :args (@t44)) % 0.38/0.59 (step @p15 :rule cong :premises (@p14) :args (@t45)) % 0.38/0.59 (step @p16 :rule refl :args (@t18)) % 0.38/0.59 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((and @t18 @t45))) % 0.38/0.59 (step @p18 :rule alpha_equiv :args (@t54 (@list @t4 @t2) (@list @t27 @t29))) % 0.38/0.59 (step @p19 :rule quant-unused-vars :args ((= @t55 @t18))) % 0.38/0.59 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t56)) % 0.38/0.59 (step @p21 :rule quant-miniscope-and :args ((= (forall @t22 (and @t18 @t53)) @t56))) % 0.38/0.59 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.59 (step @p23 :rule trans :premises (@p22 @p17)) % 0.38/0.59 (step @p24 :rule refl :args (@t53)) % 0.38/0.59 (step @p25 :rule bool-double-not-elim :args (@t18)) % 0.38/0.59 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((and (not @t57) @t53))) % 0.38/0.59 (step @p27 :rule bool-or-de-morgan :args (@t57 @t52 false)) % 0.38/0.59 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.59 (step @p29 :rule cong :premises (@p28) :args (@t59)) % 0.38/0.59 (step @p30 :rule trans :premises (@p29 @p23)) % 0.38/0.59 (step @p31 :rule cong :premises (@p30) :args (@t60)) % 0.38/0.59 (step @p32 :rule exists-elim :args ((= (exists @t22 @t58) @t60))) % 0.38/0.59 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.59 (step @p34 :rule quant-miniscope-or :args ((= (forall @t20 @t61) @t58))) % 0.38/0.59 (step @p35 :rule aci_norm :args ((= @t62 @t61))) % 0.38/0.59 (step @p36 :rule cong :premises (@p35) :args ((forall @t20 @t62))) % 0.38/0.59 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.59 (step @p38 :rule aci_norm :args ((= @t61 @t62))) % 0.38/0.59 (step @p39 :rule aci_norm :args ((= (or @t50 (or @t48 @t46)) @t51))) % 0.38/0.59 (step @p40 :rule refl :args (@t46)) % 0.38/0.59 (step @p41 :rule refl :args (@t33)) % 0.38/0.59 (step @p42 :rule bool-impl-elim :args (@t6 @t47)) % 0.38/0.59 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((and @t63 @t33))) % 0.38/0.59 (step @p44 :rule bool-implies-de-morgan :args (@t63 @t8)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.59 (step @p46 :rule nary_cong :premises (@p45 @p40) :args ((or (not @t64) @t46))) % 0.38/0.59 (step @p47 :rule bool-impl-elim :args (@t64 @t46)) % 0.38/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.59 (step @p49 :rule aci_norm :args ((= (and @t6 (and @t36 @t49)) @t50))) % 0.38/0.59 (step @p50 :rule bool-or-de-morgan :args (@t10 @t3 false)) % 0.38/0.59 (step @p51 :rule refl :args (@t6)) % 0.38/0.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((and @t6 (not @t14)))) % 0.38/0.59 (step @p53 :rule trans :premises (@p52 @p49)) % 0.38/0.59 (step @p54 :rule bool-implies-de-morgan :args (@t6 @t14)) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.59 (step @p56 :rule nary_cong :premises (@p55 @p48) :args ((or (not @t15) @t65))) % 0.38/0.59 (step @p57 :rule trans :premises (@p56 @p39)) % 0.38/0.59 (step @p58 :rule bool-impl-elim :args (@t15 @t65)) % 0.38/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.59 (step @p60 :rule refl :args (@t57)) % 0.38/0.59 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t57 @t66))) % 0.38/0.59 (step @p62 :rule trans :premises (@p61 @p38)) % 0.38/0.59 (step @p63 :rule bool-impl-elim :args (@t18 @t66)) % 0.38/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.59 (step @p65 :rule cong :premises (@p64) :args ((forall @t20 (=> @t18 @t66)))) % 0.38/0.59 (step @p66 :rule trans :premises (@p65 @p37)) % 0.38/0.59 (step @p67 :rule eq-symm :args (@t5 @t3)) % 0.38/0.59 (step @p68 :rule refl :args (@t6)) % 0.38/0.59 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t7)) % 0.38/0.59 (step @p70 :rule refl :args (@t8)) % 0.38/0.59 (step @p71 :rule eq-symm :args (@t10 @t5)) % 0.38/0.59 (step @p72 :rule cong :premises (@p68 @p71) :args (@t11)) % 0.38/0.59 (step @p73 :rule cong :premises (@p72 @p70) :args (@t12)) % 0.38/0.59 (step @p74 :rule cong :premises (@p73 @p69) :args (@t13)) % 0.38/0.59 (step @p75 :rule refl :args (@t15)) % 0.38/0.59 (step @p76 :rule cong :premises (@p75 @p74) :args (@t16)) % 0.38/0.59 (step @p77 :rule cong :premises (@p16 @p76) :args (@t19)) % 0.38/0.59 (step @p78 :rule cong :premises (@p77) :args (@t21)) % 0.38/0.59 (step @p79 :rule trans :premises (@p78 @p66)) % 0.38/0.59 (step @p80 :rule cong :premises (@p79) :args (@t23)) % 0.38/0.59 (step @p81 :rule trans :premises (@p80 @p33)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81) :args (@t25)) % 0.38/0.59 (step @p83 :rule trans :premises (@p82 @p4)) % 0.38/0.59 (step @p84 :rule cong :premises (@p83) :args (@t26)) % 0.38/0.59 (step @p85 :rule eq_resolve :premises (@p1 @p84)) % 0.38/0.59 (step @p86 :rule refl :args (@t76)) % 0.38/0.59 (step @p87 :rule bool-double-not-elim :args (@t67)) % 0.38/0.59 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t77) @t76))) % 0.38/0.59 (step @p89 :rule eq-symm :args (@t69 @t28)) % 0.38/0.59 (step @p90 :rule nary_cong :premises (@p8 @p89) :args (@t78)) % 0.38/0.59 (step @p91 :rule nary_cong :premises (@p90 @p6) :args (@t79)) % 0.38/0.59 (step @p92 :rule refl :args (@t71)) % 0.38/0.59 (step @p93 :rule nary_cong :premises (@p92 @p91 @p5) :args (@t80)) % 0.38/0.59 (step @p94 :rule cong :premises (@p93) :args (@t81)) % 0.38/0.59 (step @p95 :rule cong :premises (@p94) :args (@t82)) % 0.38/0.59 (step @p96 :rule cong :premises (@p95) :args (@t83)) % 0.38/0.59 (step @p97 :rule cong :premises (@p96) :args (@t84)) % 0.38/0.59 (step @p98 :rule refl :args (@t74)) % 0.38/0.59 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t85)) % 0.38/0.59 (step @p100 :rule cong :premises (@p99) :args (@t86)) % 0.38/0.59 (step @p101 :rule refl :args (@t77)) % 0.38/0.59 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t77 @t86))) % 0.38/0.59 (assume-push @p192 @t77) % 0.38/0.59 (step @p104 :rule skolemize :premises (@p85)) % 0.38/0.59 (step-pop @p193 :rule scope :premises (@p104)) % 0.38/0.59 (step @p105 :rule process_scope :premises (@p193) :args (@t86)) % 0.38/0.59 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.38/0.59 (step @p108 :rule implies_elim :premises (@p107)) % 0.38/0.59 (step @p109 :rule eq_resolve :premises (@p108 @p88)) % 0.38/0.59 (step @p110 :rule chain_m_resolution :premises (@p109 @p85) :args (@t76 @t87 (@list @t67))) % 0.38/0.59 (step @p111 :rule bool-double-not-elim :args (@t72)) % 0.38/0.59 (step @p112 :rule refl :args (@t75)) % 0.38/0.59 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t75 (not @t73)))) % 0.38/0.59 (step @p114 :rule cnf_or_neg :args (@t75 1)) % 0.38/0.59 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.38/0.59 (step @p116 :rule reordering :premises (@p115) :args ((or @t72 @t75))) % 0.38/0.59 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t72 @t87 (@list @t75))) % 0.38/0.59 (step @p118 :rule quant-miniscope-or :args ((= (forall @t20 @t93) @t92))) % 0.38/0.59 (step @p119 :rule aci_norm :args ((= @t94 @t93))) % 0.38/0.59 (step @p120 :rule cong :premises (@p119) :args ((forall @t20 @t94))) % 0.38/0.59 (step @p121 :rule trans :premises (@p120 @p118)) % 0.38/0.59 (step @p122 :rule refl :args (@t88)) % 0.38/0.59 (step @p123 :rule aci_norm :args ((= @t95 @t89))) % 0.38/0.59 (step @p124 :rule nary_cong :premises (@p123 @p41 @p122) :args (@t96)) % 0.38/0.59 (step @p125 :rule cong :premises (@p124) :args ((forall @t20 @t96))) % 0.38/0.59 (step @p126 :rule trans :premises (@p125 @p121)) % 0.38/0.59 (step @p127 :rule aci_norm :args ((= (and @t88 true) @t88))) % 0.38/0.59 (step @p128 :rule eq-refl :args (@t69)) % 0.38/0.59 (step @p129 :rule refl :args (@t88)) % 0.38/0.59 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t98)) % 0.38/0.59 (step @p131 :rule trans :premises (@p130 @p127)) % 0.38/0.59 (step @p132 :rule aci_norm :args ((= (and true @t33) @t33))) % 0.38/0.59 (step @p133 :rule absorb :args ((= (or @t99 true) true))) % 0.38/0.59 (step @p134 :rule refl :args (@t99)) % 0.38/0.59 (step @p135 :rule nary_cong :premises (@p134 @p128) :args (@t100)) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p133)) % 0.38/0.59 (step @p137 :rule nary_cong :premises (@p136 @p6) :args (@t101)) % 0.38/0.59 (step @p138 :rule trans :premises (@p137 @p132)) % 0.38/0.59 (step @p139 :rule refl :args (@t95)) % 0.38/0.59 (step @p140 :rule nary_cong :premises (@p139 @p138 @p131) :args (@t102)) % 0.38/0.59 (step @p141 :rule cong :premises (@p140) :args (@t103)) % 0.38/0.59 (step @p142 :rule trans :premises (@p141 @p126)) % 0.38/0.59 (step @p143 :rule cong :premises (@p142) :args (@t104)) % 0.38/0.59 (step @p144 :rule refl :args (@t72)) % 0.38/0.59 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t72 @t104))) % 0.38/0.59 (assume-push @p194 @t72) % 0.38/0.59 (step @p147 :rule instantiate :premises (@p117) :args ((@list @t68 @t68))) % 0.38/0.59 (step-pop @p195 :rule scope :premises (@p147)) % 0.38/0.59 (step @p148 :rule process_scope :premises (@p195) :args (@t104)) % 0.38/0.59 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 0.38/0.59 (step @p151 :rule implies_elim :premises (@p150)) % 0.38/0.59 (step @p152 :rule chain_m_resolution :premises (@p151 @p117) :args ((not @t92) @t105 (@list @t72))) % 0.38/0.59 (step @p153 :rule cnf_or_neg :args (@t92 1)) % 0.38/0.59 (step @p154 :rule chain_m_resolution :premises (@p153 @p152) :args ((not @t91) @t87 (@list @t92))) % 0.38/0.59 (step @p155 :rule skolemize :premises (@p154)) % 0.38/0.59 (step @p156 :rule bool-double-not-elim :args (@t107)) % 0.38/0.59 (step @p157 :rule refl :args (@t109)) % 0.38/0.59 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t109 (not @t108)))) % 0.38/0.59 (step @p159 :rule cnf_or_neg :args (@t109 1)) % 0.38/0.59 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.38/0.59 (step @p161 :rule reordering :premises (@p160) :args ((or @t107 @t109))) % 0.38/0.59 (step @p162 :rule chain_m_resolution :premises (@p161 @p155) :args (@t107 @t87 (@list @t109))) % 0.38/0.59 (step @p163 :rule cnf_or_neg :args (@t114 0)) % 0.38/0.59 (step @p164 :rule reordering :premises (@p163) :args ((or @t108 @t114))) % 0.38/0.59 (step @p165 :rule chain_m_resolution :premises (@p164 @p162) :args (@t114 @t105 (@list @t107))) % 0.38/0.59 (step @p166 :rule quant-miniscope-or :args ((= (forall @t20 @t115) @t114))) % 0.38/0.59 (step @p167 :rule aci_norm :args ((= @t116 @t115))) % 0.38/0.59 (step @p168 :rule cong :premises (@p167) :args ((forall @t20 @t116))) % 0.38/0.59 (step @p169 :rule trans :premises (@p168 @p166)) % 0.38/0.59 (step @p170 :rule aci_norm :args ((= (and @t107 true) @t107))) % 0.38/0.59 (step @p171 :rule eq-refl :args (@t110)) % 0.38/0.59 (step @p172 :rule refl :args (@t107)) % 0.38/0.59 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t117)) % 0.38/0.59 (step @p174 :rule trans :premises (@p173 @p170)) % 0.38/0.59 (step @p175 :rule eq-symm :args (@t110 @t69)) % 0.38/0.59 (step @p176 :rule refl :args (@t108)) % 0.38/0.59 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t118)) % 0.38/0.59 (step @p178 :rule nary_cong :premises (@p177 @p6) :args (@t119)) % 0.38/0.59 (step @p179 :rule refl :args (@t112)) % 0.38/0.59 (step @p180 :rule nary_cong :premises (@p179 @p178 @p174) :args (@t120)) % 0.38/0.59 (step @p181 :rule cong :premises (@p180) :args (@t121)) % 0.38/0.59 (step @p182 :rule trans :premises (@p181 @p169)) % 0.38/0.59 (step @p183 :rule cong :premises (@p182) :args (@t122)) % 0.38/0.59 (step @p184 :rule cong :premises (@p144 @p183) :args ((=> @t72 @t122))) % 0.38/0.59 (assume-push @p196 @t72) % 0.38/0.59 (step @p186 :rule instantiate :premises (@p117) :args ((@list @t106 @t106))) % 0.38/0.59 (step-pop @p197 :rule scope :premises (@p186)) % 0.38/0.59 (step @p187 :rule process_scope :premises (@p197) :args (@t122)) % 0.38/0.59 (step @p189 :rule eq_resolve :premises (@p187 @p184)) % 0.38/0.59 (step @p190 :rule implies_elim :premises (@p189)) % 0.38/0.59 (step @p191 false :rule chain_m_resolution :premises (@p190 @p165 @p117) :args (false (@list false false) (@list @t114 @t72))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------