%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI012+1 : TPTP v9.2.1. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:43:12 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI012+1 : TPTP v9.2.1. Released v7.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 : Tue Jun 2 12:52:26 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.none_greater $$unsorted) % 0.36/0.56 (declare-const tptp.object (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.exemplifies_relation (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.greater_than $$unsorted) % 0.36/0.56 (declare-const tptp.exemplifies_property (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.conceivable $$unsorted) % 0.36/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t2 () (tptp.exemplifies_property tptp.conceivable @t1)) % 0.36/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t4 () (tptp.exemplifies_relation tptp.greater_than @t1 @t3)) % 0.36/0.56 (define @t5 () (tptp.object @t1)) % 0.36/0.56 (define @t6 () (and @t5 @t4 @t2)) % 0.36/0.56 (define @t7 () (@list @t1)) % 0.36/0.56 (define @t8 () (exists @t7 @t6)) % 0.36/0.56 (define @t9 () (not @t8)) % 0.36/0.56 (define @t10 () (tptp.exemplifies_property tptp.conceivable @t3)) % 0.36/0.56 (define @t11 () (and @t10 @t9)) % 0.36/0.56 (define @t12 () (tptp.exemplifies_property tptp.none_greater @t3)) % 0.36/0.56 (define @t13 () (= @t12 @t11)) % 0.36/0.56 (define @t14 () (tptp.object @t3)) % 0.36/0.56 (define @t15 () (=> @t14 @t13)) % 0.36/0.56 (define @t16 () (@list @t3)) % 0.36/0.56 (define @t17 () (forall @t16 @t15)) % 0.36/0.56 (define @t18 () (= @t3 @t1)) % 0.36/0.56 (define @t19 () (tptp.exemplifies_relation tptp.greater_than @t3 @t1)) % 0.36/0.56 (define @t20 () (or @t19 @t4 @t18)) % 0.36/0.56 (define @t21 () (and @t14 @t5)) % 0.36/0.56 (define @t22 () (@list @t3 @t1)) % 0.36/0.56 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.36/0.56 (define @t24 () (tptp.exemplifies_property tptp.none_greater @t1)) % 0.36/0.56 (define @t25 () (=> @t24 (= @t1 @t3))) % 0.36/0.56 (define @t26 () (=> @t5 @t25)) % 0.36/0.56 (define @t27 () (forall @t7 @t26)) % 0.36/0.56 (define @t28 () (and @t14 @t12 @t27)) % 0.36/0.56 (define @t29 () (exists @t16 @t28)) % 0.36/0.56 (define @t30 () (and @t14 @t12)) % 0.36/0.56 (define @t31 () (exists @t16 @t30)) % 0.36/0.56 (define @t32 () (=> @t31 @t29)) % 0.36/0.56 (define @t33 () (not @t32)) % 0.36/0.56 (define @t34 () (not @t24)) % 0.36/0.56 (define @t35 () (not @t5)) % 0.36/0.56 (define @t36 () (or @t35 @t34 @t18)) % 0.36/0.56 (define @t37 () (forall @t7 @t36)) % 0.36/0.56 (define @t38 () (not @t37)) % 0.36/0.56 (define @t39 () (not @t12)) % 0.36/0.56 (define @t40 () (not @t14)) % 0.36/0.56 (define @t41 () (or @t40 @t39 @t38)) % 0.36/0.56 (define @t42 () (and @t14 @t12 @t37)) % 0.36/0.56 (define @t43 () (forall @t16 (not @t42))) % 0.36/0.56 (define @t44 () (not @t43)) % 0.36/0.56 (define @t45 () (=> @t24 @t18)) % 0.36/0.56 (define @t46 () (forall @t16 (not @t30))) % 0.36/0.56 (define @t47 () (not @t46)) % 0.36/0.56 (define @t48 () (@quantifiers_skolemize (forall @t16 (or @t40 @t39)) 0)) % 0.36/0.56 (define @t49 () (tptp.object @t48)) % 0.36/0.56 (define @t50 () (tptp.exemplifies_property tptp.none_greater @t48)) % 0.36/0.56 (define @t51 () (not @t50)) % 0.36/0.56 (define @t52 () (not @t49)) % 0.36/0.56 (define @t53 () (or @t52 @t51)) % 0.36/0.56 (define @t54 () (@list true)) % 0.36/0.56 (define @t55 () (@list @t53)) % 0.36/0.56 (define @t56 () (not @t2)) % 0.36/0.56 (define @t57 () (not @t4)) % 0.36/0.56 (define @t58 () (or @t35 @t57 @t56)) % 0.36/0.56 (define @t59 () (forall @t7 @t58)) % 0.36/0.56 (define @t60 () (= @t12 (and @t10 @t59))) % 0.36/0.56 (define @t61 () (forall @t7 (not @t6))) % 0.36/0.56 (define @t62 () (not @t61)) % 0.36/0.56 (define @t63 () (@list @t48)) % 0.36/0.56 (define @t64 () (forall @t7 (or @t35 (not (tptp.exemplifies_relation tptp.greater_than @t1 @t48)) @t56))) % 0.36/0.56 (define @t65 () (tptp.exemplifies_property tptp.conceivable @t48)) % 0.36/0.56 (define @t66 () (and @t65 @t64)) % 0.36/0.56 (define @t67 () (= @t50 @t66)) % 0.36/0.56 (define @t68 () (or @t52 @t67)) % 0.36/0.56 (define @t69 () (@list false false)) % 0.36/0.56 (define @t70 () (not @t66)) % 0.36/0.56 (define @t71 () (@list false)) % 0.36/0.56 (define @t72 () (@list @t66)) % 0.36/0.56 (define @t73 () (forall @t7 (or @t35 @t34 (= @t1 @t48)))) % 0.36/0.56 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.36/0.56 (define @t75 () (@list @t74)) % 0.36/0.56 (define @t76 () (or @t35 @t34 (= @t48 @t1))) % 0.36/0.56 (define @t77 () (forall @t7 @t76)) % 0.36/0.56 (define @t78 () (not @t77)) % 0.36/0.56 (define @t79 () (or @t52 @t51 @t78)) % 0.36/0.56 (define @t80 () (forall @t16 @t41)) % 0.36/0.56 (define @t81 () (not @t73)) % 0.36/0.56 (define @t82 () (or @t52 @t51 @t81)) % 0.36/0.56 (define @t83 () (@list false false false)) % 0.36/0.56 (define @t84 () (= @t48 @t74)) % 0.36/0.56 (define @t85 () (tptp.exemplifies_property tptp.none_greater @t74)) % 0.36/0.56 (define @t86 () (not @t85)) % 0.36/0.56 (define @t87 () (tptp.object @t74)) % 0.36/0.56 (define @t88 () (not @t87)) % 0.36/0.56 (define @t89 () (or @t88 @t86 @t84)) % 0.36/0.56 (define @t90 () (not @t89)) % 0.36/0.56 (define @t91 () (= @t74 @t48)) % 0.36/0.56 (define @t92 () (or @t88 @t86 @t91)) % 0.36/0.56 (define @t93 () (not @t92)) % 0.36/0.56 (define @t94 () (@list @t89)) % 0.36/0.56 (define @t95 () (forall @t7 (or @t35 (not (tptp.exemplifies_relation tptp.greater_than @t1 @t74)) @t56))) % 0.36/0.56 (define @t96 () (tptp.exemplifies_property tptp.conceivable @t74)) % 0.36/0.56 (define @t97 () (and @t96 @t95)) % 0.36/0.56 (define @t98 () (= @t85 @t97)) % 0.36/0.56 (define @t99 () (or @t88 @t98)) % 0.36/0.56 (define @t100 () (not @t97)) % 0.36/0.56 (define @t101 () (@list @t97)) % 0.36/0.56 (define @t102 () (or @t40 @t35 @t19 @t4 @t18)) % 0.36/0.56 (define @t103 () (tptp.exemplifies_relation tptp.greater_than @t48 @t74)) % 0.36/0.56 (define @t104 () (tptp.exemplifies_relation tptp.greater_than @t74 @t48)) % 0.36/0.56 (define @t105 () (or @t88 @t52 @t104 @t103 @t91)) % 0.36/0.56 (define @t106 () (forall @t22 @t102)) % 0.36/0.56 (define @t107 () (or @t88 @t52 @t104 @t103 @t84)) % 0.36/0.56 (define @t108 () (not @t96)) % 0.36/0.56 (define @t109 () (not @t104)) % 0.36/0.56 (define @t110 () (or @t88 @t109 @t108)) % 0.36/0.56 (define @t111 () (not @t65)) % 0.36/0.56 (define @t112 () (not @t103)) % 0.36/0.56 (define @t113 () (or @t52 @t112 @t111)) % 0.36/0.56 (assume @p1 @t17) % 0.36/0.56 (assume @p2 @t23) % 0.36/0.56 (assume @p3 @t33) % 0.36/0.56 (assume @p4 true) % 0.36/0.56 (step @p5 :rule aci_norm :args ((= (or @t40 (or @t39 @t38)) @t41))) % 0.36/0.56 (step @p6 :rule bool-and-de-morgan :args (@t12 @t37 true)) % 0.36/0.56 (step @p7 :rule refl :args (@t40)) % 0.36/0.56 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t40 (not (and @t12 @t37))))) % 0.36/0.56 (step @p9 :rule bool-and-de-morgan :args (@t14 @t12 (and @t37))) % 0.36/0.56 (step @p10 :rule trans :premises (@p9 @p8)) % 0.36/0.56 (step @p11 :rule trans :premises (@p10 @p5)) % 0.36/0.56 (step @p12 :rule cong :premises (@p11) :args (@t43)) % 0.36/0.56 (step @p13 :rule cong :premises (@p12) :args (@t44)) % 0.36/0.56 (step @p14 :rule exists-elim :args ((= (exists @t16 @t42) @t44))) % 0.36/0.56 (step @p15 :rule trans :premises (@p14 @p13)) % 0.36/0.56 (step @p16 :rule aci_norm :args ((= (or @t35 (or @t34 @t18)) @t36))) % 0.36/0.56 (step @p17 :rule bool-impl-elim :args (@t24 @t18)) % 0.36/0.56 (step @p18 :rule refl :args (@t35)) % 0.36/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t35 @t45))) % 0.36/0.56 (step @p20 :rule trans :premises (@p19 @p16)) % 0.36/0.56 (step @p21 :rule bool-impl-elim :args (@t5 @t45)) % 0.36/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.36/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t7 (=> @t5 @t45)))) % 0.36/0.56 (step @p24 :rule eq-symm :args (@t1 @t3)) % 0.36/0.56 (step @p25 :rule refl :args (@t24)) % 0.36/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args (@t25)) % 0.36/0.56 (step @p27 :rule refl :args (@t5)) % 0.36/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args (@t26)) % 0.36/0.56 (step @p29 :rule cong :premises (@p28) :args (@t27)) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p23)) % 0.36/0.56 (step @p31 :rule refl :args (@t12)) % 0.36/0.56 (step @p32 :rule refl :args (@t14)) % 0.36/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t28)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33) :args (@t29)) % 0.36/0.56 (step @p35 :rule trans :premises (@p34 @p15)) % 0.36/0.56 (step @p36 :rule bool-and-de-morgan :args (@t14 @t12 true)) % 0.36/0.56 (step @p37 :rule cong :premises (@p36) :args (@t46)) % 0.36/0.56 (step @p38 :rule cong :premises (@p37) :args (@t47)) % 0.36/0.56 (step @p39 :rule exists-elim :args ((= @t31 @t47))) % 0.36/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.36/0.56 (step @p41 :rule cong :premises (@p40 @p35) :args (@t32)) % 0.36/0.56 (step @p42 :rule cong :premises (@p41) :args (@t33)) % 0.36/0.56 (step @p43 :rule eq_resolve :premises (@p3 @p42)) % 0.36/0.56 (step @p44 :rule not_implies_elim1 :premises (@p43)) % 0.36/0.56 (step @p45 :rule skolemize :premises (@p44)) % 0.36/0.56 (step @p46 :rule bool-double-not-elim :args (@t49)) % 0.36/0.56 (step @p47 :rule refl :args (@t53)) % 0.36/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t53 (not @t52)))) % 0.36/0.56 (step @p49 :rule cnf_or_neg :args (@t53 0)) % 0.36/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.36/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t49 @t53))) % 0.36/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) :args (@t49 @t54 @t55)) % 0.36/0.56 (step @p53 :rule bool-impl-elim :args (@t14 @t60)) % 0.36/0.56 (step @p54 :rule cong :premises (@p53) :args ((forall @t16 (=> @t14 @t60)))) % 0.36/0.56 (step @p55 :rule bool-double-not-elim :args (@t59)) % 0.36/0.56 (step @p56 :rule aci_norm :args ((= (or @t35 (or @t57 @t56)) @t58))) % 0.36/0.56 (step @p57 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 0.36/0.56 (step @p58 :rule nary_cong :premises (@p18 @p57) :args ((or @t35 (not (and @t4 @t2))))) % 0.36/0.56 (step @p59 :rule bool-and-de-morgan :args (@t5 @t4 (and @t2))) % 0.36/0.56 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.56 (step @p61 :rule trans :premises (@p60 @p56)) % 0.36/0.56 (step @p62 :rule cong :premises (@p61) :args (@t61)) % 0.36/0.56 (step @p63 :rule cong :premises (@p62) :args (@t62)) % 0.36/0.56 (step @p64 :rule exists-elim :args ((= @t8 @t62))) % 0.36/0.56 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.56 (step @p66 :rule cong :premises (@p65) :args (@t9)) % 0.36/0.56 (step @p67 :rule trans :premises (@p66 @p55)) % 0.36/0.56 (step @p68 :rule refl :args (@t10)) % 0.36/0.56 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t11)) % 0.36/0.56 (step @p70 :rule cong :premises (@p31 @p69) :args (@t13)) % 0.36/0.56 (step @p71 :rule cong :premises (@p32 @p70) :args (@t15)) % 0.36/0.56 (step @p72 :rule cong :premises (@p71) :args (@t17)) % 0.36/0.56 (step @p73 :rule trans :premises (@p72 @p54)) % 0.36/0.56 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.36/0.56 (step @p75 :rule instantiate :premises (@p74) :args (@t63)) % 0.36/0.56 (step @p76 :rule cnf_or_pos :args (@t68)) % 0.36/0.56 (step @p77 :rule reordering :premises (@p76) :args ((or @t52 @t67 (not @t68)))) % 0.36/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p52 @p75) :args (@t67 @t69 (@list @t49 @t68))) % 0.36/0.56 (step @p79 :rule bool-double-not-elim :args (@t50)) % 0.36/0.56 (step @p80 :rule nary_cong :premises (@p47 @p79) :args ((or @t53 (not @t51)))) % 0.36/0.56 (step @p81 :rule cnf_or_neg :args (@t53 1)) % 0.36/0.56 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.36/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t50 @t53))) % 0.36/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p45) :args (@t50 @t54 @t55)) % 0.36/0.56 (step @p85 :rule cnf_equiv_pos1 :args (@t67)) % 0.36/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t51 @t66 (not @t67)))) % 0.36/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p78) :args (@t66 @t69 (@list @t50 @t67))) % 0.36/0.56 (step @p88 :rule cnf_and_pos :args (@t66 0)) % 0.36/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t65 @t70))) % 0.36/0.56 (step @p90 :rule chain_m_resolution :premises (@p89 @p87) :args (@t65 @t71 @t72)) % 0.36/0.56 (step @p91 :rule instantiate :premises (@p74) :args (@t75)) % 0.36/0.56 (step @p92 :rule not_implies_elim2 :premises (@p43)) % 0.36/0.56 (step @p93 :rule not_not_elim :premises (@p92)) % 0.36/0.56 (step @p94 :rule eq-symm :args (@t48 @t1)) % 0.36/0.56 (step @p95 :rule refl :args (@t34)) % 0.36/0.56 (step @p96 :rule refl :args (@t35)) % 0.36/0.56 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t76)) % 0.36/0.56 (step @p98 :rule cong :premises (@p97) :args (@t77)) % 0.36/0.56 (step @p99 :rule cong :premises (@p98) :args (@t78)) % 0.36/0.56 (step @p100 :rule refl :args (@t51)) % 0.36/0.56 (step @p101 :rule refl :args (@t52)) % 0.36/0.56 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args (@t79)) % 0.36/0.56 (step @p103 :rule refl :args (@t80)) % 0.36/0.56 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t80 @t79))) % 0.36/0.56 (assume-push @p195 @t80) % 0.36/0.56 (step @p106 :rule instantiate :premises (@p93) :args (@t63)) % 0.36/0.56 (step-pop @p196 :rule scope :premises (@p106)) % 0.36/0.56 (step @p107 :rule process_scope :premises (@p196) :args (@t79)) % 0.36/0.56 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 0.36/0.56 (step @p110 :rule implies_elim :premises (@p109)) % 0.36/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p93) :args (@t82 @t71 (@list @t80))) % 0.36/0.56 (step @p112 :rule cnf_or_pos :args (@t82)) % 0.36/0.56 (step @p113 :rule reordering :premises (@p112) :args ((or @t52 @t51 @t81 (not @t82)))) % 0.36/0.56 (step @p114 :rule chain_m_resolution :premises (@p113 @p52 @p84 @p111) :args (@t81 @t83 (@list @t49 @t50 @t82))) % 0.36/0.56 (step @p115 :rule refl :args (@t90)) % 0.36/0.56 (step @p116 :rule bool-double-not-elim :args (@t73)) % 0.36/0.56 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t81) @t90))) % 0.36/0.56 (step @p118 :rule eq-symm :args (@t74 @t48)) % 0.36/0.56 (step @p119 :rule refl :args (@t86)) % 0.36/0.56 (step @p120 :rule refl :args (@t88)) % 0.36/0.56 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t92)) % 0.36/0.56 (step @p122 :rule cong :premises (@p121) :args (@t93)) % 0.36/0.56 (step @p123 :rule refl :args (@t81)) % 0.36/0.56 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t81 @t93))) % 0.36/0.56 (assume-push @p197 @t81) % 0.36/0.56 (step @p126 :rule skolemize :premises (@p114)) % 0.36/0.56 (step-pop @p198 :rule scope :premises (@p126)) % 0.36/0.56 (step @p127 :rule process_scope :premises (@p198) :args (@t93)) % 0.36/0.56 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 0.36/0.56 (step @p130 :rule implies_elim :premises (@p129)) % 0.36/0.56 (step @p131 :rule eq_resolve :premises (@p130 @p117)) % 0.36/0.56 (step @p132 :rule chain_m_resolution :premises (@p131 @p114) :args (@t90 @t54 (@list @t73))) % 0.36/0.56 (step @p133 :rule bool-double-not-elim :args (@t87)) % 0.36/0.56 (step @p134 :rule refl :args (@t89)) % 0.36/0.56 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t89 (not @t88)))) % 0.36/0.56 (step @p136 :rule cnf_or_neg :args (@t89 0)) % 0.36/0.56 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.36/0.56 (step @p138 :rule reordering :premises (@p137) :args ((or @t87 @t89))) % 0.36/0.56 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t87 @t54 @t94)) % 0.36/0.56 (step @p140 :rule cnf_or_pos :args (@t99)) % 0.36/0.56 (step @p141 :rule reordering :premises (@p140) :args ((or @t88 @t98 (not @t99)))) % 0.36/0.56 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p91) :args (@t98 @t69 (@list @t87 @t99))) % 0.36/0.56 (step @p143 :rule bool-double-not-elim :args (@t85)) % 0.36/0.56 (step @p144 :rule nary_cong :premises (@p134 @p143) :args ((or @t89 (not @t86)))) % 0.36/0.56 (step @p145 :rule cnf_or_neg :args (@t89 1)) % 0.36/0.56 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.36/0.56 (step @p147 :rule reordering :premises (@p146) :args ((or @t85 @t89))) % 0.36/0.56 (step @p148 :rule chain_m_resolution :premises (@p147 @p132) :args (@t85 @t54 @t94)) % 0.36/0.56 (step @p149 :rule cnf_equiv_pos1 :args (@t98)) % 0.36/0.56 (step @p150 :rule reordering :premises (@p149) :args ((or @t86 @t97 (not @t98)))) % 0.36/0.56 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p142) :args (@t97 @t69 (@list @t85 @t98))) % 0.36/0.56 (step @p152 :rule cnf_and_pos :args (@t97 1)) % 0.36/0.56 (step @p153 :rule reordering :premises (@p152) :args ((or @t95 @t100))) % 0.36/0.56 (step @p154 :rule chain_m_resolution :premises (@p153 @p151) :args (@t95 @t71 @t101)) % 0.36/0.56 (step @p155 :rule instantiate :premises (@p154) :args (@t63)) % 0.36/0.56 (step @p156 :rule aci_norm :args ((= (or (or @t40 @t35) @t20) @t102))) % 0.36/0.56 (step @p157 :rule refl :args (@t20)) % 0.36/0.56 (step @p158 :rule bool-and-de-morgan :args (@t14 @t5 true)) % 0.36/0.56 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t21) @t20))) % 0.36/0.56 (step @p160 :rule trans :premises (@p159 @p156)) % 0.36/0.56 (step @p161 :rule bool-impl-elim :args (@t21 @t20)) % 0.36/0.56 (step @p162 :rule trans :premises (@p161 @p160)) % 0.36/0.56 (step @p163 :rule cong :premises (@p162) :args (@t23)) % 0.36/0.56 (step @p164 :rule eq_resolve :premises (@p2 @p163)) % 0.36/0.56 (step @p165 :rule refl :args (@t103)) % 0.36/0.56 (step @p166 :rule refl :args (@t104)) % 0.36/0.56 (step @p167 :rule nary_cong :premises (@p120 @p101 @p166 @p165 @p118) :args (@t105)) % 0.36/0.56 (step @p168 :rule refl :args (@t106)) % 0.36/0.56 (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t106 @t105))) % 0.36/0.56 (assume-push @p199 @t106) % 0.36/0.56 (step @p171 :rule instantiate :premises (@p164) :args ((@list @t74 @t48))) % 0.36/0.56 (step-pop @p200 :rule scope :premises (@p171)) % 0.36/0.56 (step @p172 :rule process_scope :premises (@p200) :args (@t105)) % 0.36/0.56 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 0.36/0.56 (step @p175 :rule implies_elim :premises (@p174)) % 0.36/0.56 (step @p176 :rule chain_m_resolution :premises (@p175 @p164) :args (@t107 @t71 (@list @t106))) % 0.36/0.56 (step @p177 :rule cnf_and_pos :args (@t66 1)) % 0.36/0.56 (step @p178 :rule reordering :premises (@p177) :args ((or @t64 @t70))) % 0.36/0.56 (step @p179 :rule chain_m_resolution :premises (@p178 @p87) :args (@t64 @t71 @t72)) % 0.36/0.56 (step @p180 :rule instantiate :premises (@p179) :args (@t75)) % 0.36/0.56 (step @p181 :rule cnf_and_pos :args (@t97 0)) % 0.36/0.56 (step @p182 :rule reordering :premises (@p181) :args ((or @t96 @t100))) % 0.36/0.56 (step @p183 :rule chain_m_resolution :premises (@p182 @p151) :args (@t96 @t71 @t101)) % 0.36/0.56 (step @p184 :rule cnf_or_pos :args (@t110)) % 0.36/0.56 (step @p185 :rule reordering :premises (@p184) :args ((or @t88 @t109 @t108 (not @t110)))) % 0.36/0.56 (step @p186 :rule chain_m_resolution :premises (@p185 @p139 @p183 @p180) :args (@t109 @t83 (@list @t87 @t96 @t110))) % 0.36/0.56 (step @p187 :rule cnf_or_neg :args (@t89 2)) % 0.36/0.56 (step @p188 :rule chain_m_resolution :premises (@p187 @p132) :args ((not @t84) @t54 @t94)) % 0.36/0.56 (step @p189 :rule cnf_or_pos :args (@t107)) % 0.36/0.56 (step @p190 :rule reordering :premises (@p189) :args ((or @t52 @t88 @t84 @t104 @t103 (not @t107)))) % 0.36/0.56 (step @p191 :rule chain_m_resolution :premises (@p190 @p52 @p139 @p188 @p186 @p176) :args (@t103 (@list false false true true false) (@list @t49 @t87 @t84 @t104 @t107))) % 0.36/0.56 (step @p192 :rule cnf_or_pos :args (@t113)) % 0.36/0.56 (step @p193 :rule reordering :premises (@p192) :args ((or @t52 @t111 @t112 (not @t113)))) % 0.36/0.56 (step @p194 false :rule chain_m_resolution :premises (@p193 @p191 @p155 @p90 @p52) :args (false (@list false false false false) (@list @t103 @t113 @t65 @t49))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------