%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS071+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:28:52 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS071+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % 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 : Tue Jun 2 05:27:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Unsatisfiable % 0.39/0.56 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.i2003_11_14_17_18_39380 $$unsorted) % 0.39/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cp5 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cp4 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cp3 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cp2 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t3 () (= @t2 @t1)) % 0.39/0.58 (define @t4 () (@list @t2 @t1)) % 0.39/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.39/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t8 () (@list @t7)) % 0.39/0.58 (define @t9 () (@var "Y2" $$unsorted)) % 0.39/0.58 (define @t10 () (@var "Y1" $$unsorted)) % 0.39/0.58 (define @t11 () (= @t10 @t9)) % 0.39/0.58 (define @t12 () (@var "Y0" $$unsorted)) % 0.39/0.58 (define @t13 () (= @t12 @t9)) % 0.39/0.58 (define @t14 () (= @t12 @t10)) % 0.39/0.58 (define @t15 () (or @t14 @t13 @t11)) % 0.39/0.58 (define @t16 () (tptp.rr @t7 @t9)) % 0.39/0.58 (define @t17 () (tptp.rr @t7 @t10)) % 0.39/0.58 (define @t18 () (tptp.rr @t7 @t12)) % 0.39/0.58 (define @t19 () (and @t18 @t17 @t16)) % 0.39/0.58 (define @t20 () (@list @t12 @t10 @t9)) % 0.39/0.58 (define @t21 () (forall @t20 (=> @t19 @t15))) % 0.39/0.58 (define @t22 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t23 () (tptp.cp3 @t22)) % 0.39/0.58 (define @t24 () (tptp.rr @t7 @t22)) % 0.39/0.58 (define @t25 () (and @t24 @t23)) % 0.39/0.58 (define @t26 () (@list @t22)) % 0.39/0.58 (define @t27 () (exists @t26 @t25)) % 0.39/0.58 (define @t28 () (tptp.cp2 @t22)) % 0.39/0.58 (define @t29 () (and @t24 @t28)) % 0.39/0.58 (define @t30 () (exists @t26 @t29)) % 0.39/0.58 (define @t31 () (tptp.cp1 @t22)) % 0.39/0.58 (define @t32 () (and @t24 @t31)) % 0.39/0.58 (define @t33 () (exists @t26 @t32)) % 0.39/0.58 (define @t34 () (and @t33 @t30 @t27 @t21)) % 0.39/0.58 (define @t35 () (tptp.cUnsatisfiable @t7)) % 0.39/0.58 (define @t36 () (= @t35 @t34)) % 0.39/0.58 (define @t37 () (forall @t8 @t36)) % 0.39/0.58 (define @t38 () (tptp.cp5 @t7)) % 0.39/0.58 (define @t39 () (tptp.cp3 @t7)) % 0.39/0.58 (define @t40 () (tptp.cp2 @t7)) % 0.39/0.58 (define @t41 () (tptp.cp4 @t7)) % 0.39/0.58 (define @t42 () (not (or @t41 @t40 @t39 @t38))) % 0.39/0.58 (define @t43 () (tptp.cp1 @t7)) % 0.39/0.58 (define @t44 () (forall @t8 (=> @t43 @t42))) % 0.39/0.58 (define @t45 () (not (or @t41 @t39 @t38))) % 0.39/0.58 (define @t46 () (forall @t8 (=> @t40 @t45))) % 0.39/0.58 (define @t47 () (not @t38)) % 0.39/0.58 (define @t48 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_18_39380)) % 0.39/0.58 (define @t49 () (not @t16)) % 0.39/0.58 (define @t50 () (not @t17)) % 0.39/0.58 (define @t51 () (not @t18)) % 0.39/0.58 (define @t52 () (or @t51 @t50 @t49)) % 0.39/0.58 (define @t53 () (forall @t26 (not @t25))) % 0.39/0.58 (define @t54 () (not @t53)) % 0.39/0.58 (define @t55 () (forall @t26 (not @t29))) % 0.39/0.58 (define @t56 () (not @t55)) % 0.39/0.58 (define @t57 () (forall @t26 (not @t32))) % 0.39/0.58 (define @t58 () (not @t57)) % 0.39/0.58 (define @t59 () (forall @t20 (or (not (tptp.rr tptp.i2003_11_14_17_18_39380 @t12)) (not (tptp.rr tptp.i2003_11_14_17_18_39380 @t10)) (not (tptp.rr tptp.i2003_11_14_17_18_39380 @t9)) @t14 @t13 @t11))) % 0.39/0.58 (define @t60 () (not (tptp.rr tptp.i2003_11_14_17_18_39380 @t22))) % 0.39/0.58 (define @t61 () (forall @t26 (or @t60 (not @t23)))) % 0.39/0.58 (define @t62 () (not @t61)) % 0.39/0.58 (define @t63 () (forall @t26 (or @t60 (not @t28)))) % 0.39/0.58 (define @t64 () (not @t63)) % 0.39/0.58 (define @t65 () (forall @t26 (or @t60 (not @t31)))) % 0.39/0.58 (define @t66 () (not @t65)) % 0.39/0.58 (define @t67 () (and @t66 @t64 @t62 @t59)) % 0.39/0.58 (define @t68 () (= @t48 @t67)) % 0.39/0.58 (define @t69 () (not @t67)) % 0.39/0.58 (define @t70 () (@list false)) % 0.39/0.58 (define @t71 () (@list @t67)) % 0.39/0.58 (define @t72 () (@quantifiers_skolemize @t63 0)) % 0.39/0.58 (define @t73 () (tptp.cp2 @t72)) % 0.39/0.58 (define @t74 () (not @t73)) % 0.39/0.58 (define @t75 () (tptp.rr tptp.i2003_11_14_17_18_39380 @t72)) % 0.39/0.58 (define @t76 () (not @t75)) % 0.39/0.58 (define @t77 () (or @t76 @t74)) % 0.39/0.58 (define @t78 () (@list true)) % 0.39/0.58 (define @t79 () (@list @t77)) % 0.39/0.58 (define @t80 () (not @t39)) % 0.39/0.58 (define @t81 () (not @t41)) % 0.39/0.58 (define @t82 () (and @t80 @t47)) % 0.39/0.58 (define @t83 () (not (or @t39 @t38))) % 0.39/0.58 (define @t84 () (not @t40)) % 0.39/0.58 (define @t85 () (@quantifiers_skolemize @t61 0)) % 0.39/0.58 (define @t86 () (@list @t85)) % 0.39/0.58 (define @t87 () (tptp.cp3 @t85)) % 0.39/0.58 (define @t88 () (not @t87)) % 0.39/0.58 (define @t89 () (tptp.rr tptp.i2003_11_14_17_18_39380 @t85)) % 0.39/0.58 (define @t90 () (not @t89)) % 0.39/0.58 (define @t91 () (or @t90 @t88)) % 0.39/0.58 (define @t92 () (@list @t91)) % 0.39/0.58 (define @t93 () (not (tptp.cp5 @t85))) % 0.39/0.58 (define @t94 () (not (tptp.cp4 @t85))) % 0.39/0.58 (define @t95 () (and @t94 @t88 @t93)) % 0.39/0.58 (define @t96 () (not @t95)) % 0.39/0.58 (define @t97 () (@list @t87)) % 0.39/0.58 (define @t98 () (tptp.cp2 @t85)) % 0.39/0.58 (define @t99 () (not @t98)) % 0.39/0.58 (define @t100 () (or @t99 @t95)) % 0.39/0.58 (define @t101 () (@list true false)) % 0.39/0.58 (define @t102 () (@quantifiers_skolemize @t65 0)) % 0.39/0.58 (define @t103 () (not @t43)) % 0.39/0.58 (define @t104 () (and @t94 @t99 @t88 @t93)) % 0.39/0.58 (define @t105 () (not @t104)) % 0.39/0.58 (define @t106 () (tptp.cp1 @t85)) % 0.39/0.58 (define @t107 () (not @t106)) % 0.39/0.58 (define @t108 () (or @t107 @t104)) % 0.39/0.58 (define @t109 () (tptp.cp1 @t102)) % 0.39/0.58 (define @t110 () (not @t109)) % 0.39/0.58 (define @t111 () (tptp.rr tptp.i2003_11_14_17_18_39380 @t102)) % 0.39/0.58 (define @t112 () (not @t111)) % 0.39/0.58 (define @t113 () (or @t112 @t110)) % 0.39/0.58 (define @t114 () (@list @t113)) % 0.39/0.58 (define @t115 () (= @t102 @t85)) % 0.39/0.58 (define @t116 () (not @t115)) % 0.39/0.58 (define @t117 () (= false true)) % 0.39/0.58 (define @t118 () (and @t109 @t115 @t107)) % 0.39/0.58 (define @t119 () (@list false true)) % 0.39/0.58 (define @t120 () (and (not (tptp.cp4 @t72)) @t74 (not (tptp.cp3 @t72)) (not (tptp.cp5 @t72)))) % 0.39/0.58 (define @t121 () (not @t120)) % 0.39/0.58 (define @t122 () (tptp.cp1 @t72)) % 0.39/0.58 (define @t123 () (not @t122)) % 0.39/0.58 (define @t124 () (or @t123 @t120)) % 0.39/0.58 (define @t125 () (= @t102 @t72)) % 0.39/0.58 (define @t126 () (not @t125)) % 0.39/0.58 (define @t127 () (and @t109 @t125 @t123)) % 0.39/0.58 (define @t128 () (= @t72 @t85)) % 0.39/0.58 (define @t129 () (or @t112 @t76 @t90 @t125 @t115 @t128)) % 0.39/0.58 (define @t130 () (not @t128)) % 0.39/0.58 (define @t131 () (and @t73 @t128 @t99)) % 0.39/0.58 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.39/0.58 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.39/0.58 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.39/0.58 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.39/0.58 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp2 @t2)) (tptp.cp2 @t1)))) % 0.39/0.58 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp3 @t2)) (tptp.cp3 @t1)))) % 0.39/0.58 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp4 @t2)) (tptp.cp4 @t1)))) % 0.39/0.58 (assume @p8 (forall @t4 (=> (and @t3 (tptp.cp5 @t2)) (tptp.cp5 @t1)))) % 0.39/0.58 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.39/0.58 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.39/0.58 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.39/0.58 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.39/0.58 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.39/0.58 (assume @p14 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.39/0.58 (assume @p15 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.39/0.58 (assume @p16 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.39/0.58 (assume @p17 @t37) % 0.39/0.58 (assume @p18 @t44) % 0.39/0.58 (assume @p19 @t46) % 0.39/0.58 (assume @p20 (forall @t8 (=> @t39 (not (or @t41 @t38))))) % 0.39/0.58 (assume @p21 (forall @t8 (=> @t41 @t47))) % 0.39/0.58 (assume @p22 (forall (@list @t7 @t22) (= (tptp.rinvR @t7 @t22) (tptp.rr @t22 @t7)))) % 0.39/0.58 (assume @p23 @t48) % 0.39/0.58 (step @p24 :rule aci_norm :args ((= (or @t52 @t15) (or @t51 @t50 @t49 @t14 @t13 @t11)))) % 0.39/0.58 (step @p25 :rule refl :args (@t15)) % 0.39/0.58 (step @p26 :rule aci_norm :args ((= (or @t51 (or @t50 @t49)) @t52))) % 0.39/0.58 (step @p27 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.39/0.58 (step @p28 :rule refl :args (@t51)) % 0.39/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t51 (not (and @t17 @t16))))) % 0.39/0.58 (step @p30 :rule bool-and-de-morgan :args (@t18 @t17 (and @t16))) % 0.39/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.39/0.58 (step @p32 :rule trans :premises (@p31 @p26)) % 0.39/0.58 (step @p33 :rule nary_cong :premises (@p32 @p25) :args ((or (not @t19) @t15))) % 0.39/0.58 (step @p34 :rule trans :premises (@p33 @p24)) % 0.39/0.58 (step @p35 :rule bool-impl-elim :args (@t19 @t15)) % 0.39/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.58 (step @p37 :rule cong :premises (@p36) :args (@t21)) % 0.39/0.58 (step @p38 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.39/0.58 (step @p39 :rule cong :premises (@p38) :args (@t53)) % 0.39/0.58 (step @p40 :rule cong :premises (@p39) :args (@t54)) % 0.39/0.58 (step @p41 :rule exists-elim :args ((= @t27 @t54))) % 0.39/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.58 (step @p43 :rule bool-and-de-morgan :args (@t24 @t28 true)) % 0.39/0.58 (step @p44 :rule cong :premises (@p43) :args (@t55)) % 0.39/0.58 (step @p45 :rule cong :premises (@p44) :args (@t56)) % 0.39/0.58 (step @p46 :rule exists-elim :args ((= @t30 @t56))) % 0.39/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.39/0.58 (step @p48 :rule bool-and-de-morgan :args (@t24 @t31 true)) % 0.39/0.58 (step @p49 :rule cong :premises (@p48) :args (@t57)) % 0.39/0.58 (step @p50 :rule cong :premises (@p49) :args (@t58)) % 0.39/0.58 (step @p51 :rule exists-elim :args ((= @t33 @t58))) % 0.39/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.39/0.58 (step @p53 :rule nary_cong :premises (@p52 @p47 @p42 @p37) :args (@t34)) % 0.39/0.58 (step @p54 :rule refl :args (@t35)) % 0.39/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args (@t36)) % 0.39/0.58 (step @p56 :rule cong :premises (@p55) :args (@t37)) % 0.39/0.58 (step @p57 :rule eq_resolve :premises (@p17 @p56)) % 0.39/0.58 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.i2003_11_14_17_18_39380))) % 0.39/0.58 (step @p59 :rule cnf_equiv_pos1 :args (@t68)) % 0.39/0.58 (step @p60 :rule reordering :premises (@p59) :args ((or (not @t48) @t67 (not @t68)))) % 0.39/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p23 @p58) :args (@t67 (@list false false) (@list @t48 @t68))) % 0.39/0.58 (step @p62 :rule cnf_and_pos :args (@t67 1)) % 0.39/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t64 @t69))) % 0.39/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p61) :args (@t64 @t70 @t71)) % 0.39/0.58 (step @p65 :rule skolemize :premises (@p64)) % 0.39/0.58 (step @p66 :rule bool-double-not-elim :args (@t73)) % 0.39/0.58 (step @p67 :rule refl :args (@t77)) % 0.39/0.58 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t77 (not @t74)))) % 0.39/0.58 (step @p69 :rule cnf_or_neg :args (@t77 1)) % 0.39/0.58 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.39/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t73 @t77))) % 0.39/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t73 @t78 @t79)) % 0.39/0.58 (step @p73 :rule aci_norm :args ((= (and @t81 @t82) (and @t81 @t80 @t47)))) % 0.39/0.58 (step @p74 :rule bool-or-de-morgan :args (@t39 @t38 false)) % 0.39/0.58 (step @p75 :rule refl :args (@t81)) % 0.39/0.58 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((and @t81 @t83))) % 0.39/0.58 (step @p77 :rule bool-or-de-morgan :args (@t41 @t39 (or @t38))) % 0.39/0.58 (step @p78 :rule trans :premises (@p77 @p76)) % 0.39/0.58 (step @p79 :rule trans :premises (@p78 @p73)) % 0.39/0.58 (step @p80 :rule refl :args (@t84)) % 0.39/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t84 @t45))) % 0.39/0.58 (step @p82 :rule bool-impl-elim :args (@t40 @t45)) % 0.39/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.39/0.58 (step @p84 :rule cong :premises (@p83) :args (@t46)) % 0.39/0.58 (step @p85 :rule eq_resolve :premises (@p19 @p84)) % 0.39/0.58 (step @p86 :rule instantiate :premises (@p85) :args (@t86)) % 0.39/0.58 (step @p87 :rule cnf_and_pos :args (@t67 2)) % 0.39/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t62 @t69))) % 0.39/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p61) :args (@t62 @t70 @t71)) % 0.39/0.58 (step @p90 :rule skolemize :premises (@p89)) % 0.39/0.58 (step @p91 :rule bool-double-not-elim :args (@t87)) % 0.39/0.58 (step @p92 :rule refl :args (@t91)) % 0.39/0.58 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t91 (not @t88)))) % 0.39/0.58 (step @p94 :rule cnf_or_neg :args (@t91 1)) % 0.39/0.58 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.39/0.58 (step @p96 :rule reordering :premises (@p95) :args ((or @t87 @t91))) % 0.39/0.58 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t87 @t78 @t92)) % 0.39/0.58 (step @p98 :rule cnf_and_pos :args (@t95 1)) % 0.39/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t88 @t96))) % 0.39/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t96 @t70 @t97)) % 0.39/0.58 (step @p101 :rule cnf_or_pos :args (@t100)) % 0.39/0.58 (step @p102 :rule reordering :premises (@p101) :args ((or @t99 @t95 (not @t100)))) % 0.39/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p86) :args (@t99 @t101 (@list @t95 @t100))) % 0.39/0.58 (step @p104 :rule cnf_and_pos :args (@t67 3)) % 0.39/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t59 @t69))) % 0.39/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p61) :args (@t59 @t70 @t71)) % 0.39/0.58 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t102 @t72 @t85))) % 0.39/0.58 (step @p108 :rule aci_norm :args ((= (and @t81 (and @t84 @t82)) (and @t81 @t84 @t80 @t47)))) % 0.39/0.58 (step @p109 :rule nary_cong :premises (@p80 @p74) :args ((and @t84 @t83))) % 0.39/0.58 (step @p110 :rule bool-or-de-morgan :args (@t40 @t39 (or @t38))) % 0.39/0.58 (step @p111 :rule trans :premises (@p110 @p109)) % 0.39/0.58 (step @p112 :rule nary_cong :premises (@p75 @p111) :args ((and @t81 (not (or @t40 @t39 @t38))))) % 0.39/0.58 (step @p113 :rule bool-or-de-morgan :args (@t41 @t40 (or @t39 @t38))) % 0.39/0.58 (step @p114 :rule trans :premises (@p113 @p112)) % 0.39/0.58 (step @p115 :rule trans :premises (@p114 @p108)) % 0.39/0.58 (step @p116 :rule refl :args (@t103)) % 0.39/0.58 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t103 @t42))) % 0.39/0.58 (step @p118 :rule bool-impl-elim :args (@t43 @t42)) % 0.39/0.58 (step @p119 :rule trans :premises (@p118 @p117)) % 0.39/0.58 (step @p120 :rule cong :premises (@p119) :args (@t44)) % 0.39/0.58 (step @p121 :rule eq_resolve :premises (@p18 @p120)) % 0.39/0.58 (step @p122 :rule instantiate :premises (@p121) :args (@t86)) % 0.39/0.58 (step @p123 :rule cnf_and_pos :args (@t104 2)) % 0.39/0.58 (step @p124 :rule reordering :premises (@p123) :args ((or @t88 @t105))) % 0.39/0.58 (step @p125 :rule chain_m_resolution :premises (@p124 @p97) :args (@t105 @t70 @t97)) % 0.39/0.58 (step @p126 :rule cnf_or_pos :args (@t108)) % 0.39/0.58 (step @p127 :rule reordering :premises (@p126) :args ((or @t107 @t104 (not @t108)))) % 0.39/0.58 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p122) :args (@t107 @t101 (@list @t104 @t108))) % 0.39/0.58 (step @p129 :rule cnf_and_pos :args (@t67 0)) % 0.39/0.58 (step @p130 :rule reordering :premises (@p129) :args ((or @t66 @t69))) % 0.39/0.58 (step @p131 :rule chain_m_resolution :premises (@p130 @p61) :args (@t66 @t70 @t71)) % 0.39/0.58 (step @p132 :rule skolemize :premises (@p131)) % 0.39/0.58 (step @p133 :rule bool-double-not-elim :args (@t109)) % 0.39/0.58 (step @p134 :rule refl :args (@t113)) % 0.39/0.58 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t113 (not @t110)))) % 0.39/0.58 (step @p136 :rule cnf_or_neg :args (@t113 1)) % 0.39/0.58 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.39/0.58 (step @p138 :rule reordering :premises (@p137) :args ((or @t109 @t113))) % 0.39/0.58 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t109 @t78 @t114)) % 0.39/0.58 (step @p140 :rule refl :args (@t116)) % 0.39/0.58 (step @p141 :rule bool-double-not-elim :args (@t106)) % 0.39/0.58 (step @p142 :rule refl :args (@t110)) % 0.39/0.58 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args ((or @t110 (not @t107) @t116))) % 0.39/0.58 (assume-push @p260 @t109) % 0.39/0.58 (assume-push @p261 @t115) % 0.39/0.58 (assume-push @p262 @t107) % 0.39/0.58 (step @p147 :rule evaluate :args (@t117)) % 0.39/0.58 (step @p148 :rule true_intro :premises (@p139)) % 0.39/0.58 (step @p149 :rule symm :premises (@p261)) % 0.39/0.58 (step @p150 :rule cong :premises (@p149) :args (@t106)) % 0.39/0.58 (step @p151 :rule false_intro :premises (@p128)) % 0.39/0.58 (step @p152 :rule symm :premises (@p151)) % 0.39/0.58 (step @p153 :rule trans :premises (@p152 @p150 @p148)) % 0.39/0.58 (step @p154 false :rule eq_resolve :premises (@p153 @p147)) % 0.39/0.58 (step-pop @p263 :rule scope :premises (@p154)) % 0.39/0.58 (step-pop @p264 :rule scope :premises (@p263)) % 0.39/0.58 (step-pop @p265 :rule scope :premises (@p264)) % 0.39/0.58 (step @p155 :rule process_scope :premises (@p265) :args (false)) % 0.39/0.58 (assume-push @p266 @t109) % 0.39/0.58 (assume-push @p267 @t107) % 0.39/0.58 (assume-push @p268 @t115) % 0.39/0.58 (step @p162 :rule and_intro :premises (@p139 @p268 @p128)) % 0.39/0.58 (step-pop @p269 :rule scope :premises (@p162)) % 0.39/0.58 (step-pop @p270 :rule scope :premises (@p269)) % 0.39/0.58 (step-pop @p271 :rule scope :premises (@p270)) % 0.39/0.58 (step @p163 :rule process_scope :premises (@p271) :args (@t118)) % 0.39/0.58 (step @p167 :rule implies_elim :premises (@p163)) % 0.39/0.58 (step @p168 :rule resolution :premises (@p167 @p155) :args (true @t118)) % 0.39/0.58 (step @p169 :rule not_and :premises (@p168)) % 0.39/0.58 (step @p170 :rule eq_resolve :premises (@p169 @p143)) % 0.39/0.58 (step @p171 :rule chain_m_resolution :premises (@p170 @p139 @p128) :args (@t116 @t119 (@list @t109 @t106))) % 0.39/0.58 (step @p172 :rule instantiate :premises (@p121) :args ((@list @t72))) % 0.39/0.58 (step @p173 :rule cnf_and_pos :args (@t120 1)) % 0.39/0.58 (step @p174 :rule reordering :premises (@p173) :args ((or @t74 @t121))) % 0.39/0.58 (step @p175 :rule chain_m_resolution :premises (@p174 @p72) :args (@t121 @t70 (@list @t73))) % 0.39/0.58 (step @p176 :rule cnf_or_pos :args (@t124)) % 0.39/0.58 (step @p177 :rule reordering :premises (@p176) :args ((or @t123 @t120 (not @t124)))) % 0.39/0.58 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p172) :args (@t123 @t101 (@list @t120 @t124))) % 0.39/0.58 (step @p179 :rule refl :args (@t126)) % 0.39/0.58 (step @p180 :rule bool-double-not-elim :args (@t122)) % 0.39/0.58 (step @p181 :rule nary_cong :premises (@p142 @p180 @p179) :args ((or @t110 (not @t123) @t126))) % 0.39/0.58 (assume-push @p272 @t109) % 0.39/0.58 (assume-push @p273 @t125) % 0.39/0.58 (assume-push @p274 @t123) % 0.39/0.58 (step @p147 :rule evaluate :args (@t117)) % 0.39/0.58 (step @p148 :rule true_intro :premises (@p139)) % 0.39/0.58 (step @p185 :rule symm :premises (@p273)) % 0.39/0.58 (step @p186 :rule cong :premises (@p185) :args (@t122)) % 0.39/0.58 (step @p187 :rule false_intro :premises (@p178)) % 0.39/0.58 (step @p188 :rule symm :premises (@p187)) % 0.39/0.58 (step @p189 :rule trans :premises (@p188 @p186 @p148)) % 0.39/0.58 (step @p190 false :rule eq_resolve :premises (@p189 @p147)) % 0.39/0.58 (step-pop @p275 :rule scope :premises (@p190)) % 0.39/0.58 (step-pop @p276 :rule scope :premises (@p275)) % 0.39/0.58 (step-pop @p277 :rule scope :premises (@p276)) % 0.39/0.58 (step @p191 :rule process_scope :premises (@p277) :args (false)) % 0.39/0.58 (assume-push @p278 @t109) % 0.39/0.58 (assume-push @p279 @t123) % 0.39/0.58 (assume-push @p280 @t125) % 0.39/0.58 (step @p198 :rule and_intro :premises (@p139 @p280 @p178)) % 0.39/0.58 (step-pop @p281 :rule scope :premises (@p198)) % 0.39/0.58 (step-pop @p282 :rule scope :premises (@p281)) % 0.39/0.58 (step-pop @p283 :rule scope :premises (@p282)) % 0.39/0.58 (step @p199 :rule process_scope :premises (@p283) :args (@t127)) % 0.39/0.58 (step @p203 :rule implies_elim :premises (@p199)) % 0.39/0.58 (step @p204 :rule resolution :premises (@p203 @p191) :args (true @t127)) % 0.39/0.58 (step @p205 :rule not_and :premises (@p204)) % 0.39/0.58 (step @p206 :rule eq_resolve :premises (@p205 @p181)) % 0.39/0.58 (step @p207 :rule chain_m_resolution :premises (@p206 @p139 @p178) :args (@t126 @t119 (@list @t109 @t122))) % 0.39/0.58 (step @p208 :rule bool-double-not-elim :args (@t89)) % 0.39/0.58 (step @p209 :rule nary_cong :premises (@p92 @p208) :args ((or @t91 (not @t90)))) % 0.39/0.58 (step @p210 :rule cnf_or_neg :args (@t91 0)) % 0.39/0.58 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.39/0.58 (step @p212 :rule reordering :premises (@p211) :args ((or @t89 @t91))) % 0.39/0.58 (step @p213 :rule chain_m_resolution :premises (@p212 @p90) :args (@t89 @t78 @t92)) % 0.39/0.58 (step @p214 :rule bool-double-not-elim :args (@t75)) % 0.39/0.58 (step @p215 :rule nary_cong :premises (@p67 @p214) :args ((or @t77 (not @t76)))) % 0.39/0.58 (step @p216 :rule cnf_or_neg :args (@t77 0)) % 0.39/0.58 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 0.39/0.58 (step @p218 :rule reordering :premises (@p217) :args ((or @t75 @t77))) % 0.39/0.58 (step @p219 :rule chain_m_resolution :premises (@p218 @p65) :args (@t75 @t78 @t79)) % 0.39/0.58 (step @p220 :rule bool-double-not-elim :args (@t111)) % 0.39/0.58 (step @p221 :rule nary_cong :premises (@p134 @p220) :args ((or @t113 (not @t112)))) % 0.39/0.58 (step @p222 :rule cnf_or_neg :args (@t113 0)) % 0.39/0.58 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 0.39/0.58 (step @p224 :rule reordering :premises (@p223) :args ((or @t111 @t113))) % 0.39/0.58 (step @p225 :rule chain_m_resolution :premises (@p224 @p132) :args (@t111 @t78 @t114)) % 0.39/0.58 (step @p226 :rule cnf_or_pos :args (@t129)) % 0.39/0.58 (step @p227 :rule reordering :premises (@p226) :args ((or @t112 @t76 @t90 @t125 @t115 @t128 (not @t129)))) % 0.39/0.58 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p219 @p213 @p207 @p171 @p107) :args (@t128 (@list false false false true true false) (@list @t111 @t75 @t89 @t125 @t115 @t129))) % 0.39/0.58 (step @p229 :rule refl :args (@t130)) % 0.39/0.58 (step @p230 :rule bool-double-not-elim :args (@t98)) % 0.39/0.58 (step @p231 :rule refl :args (@t74)) % 0.39/0.58 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229) :args ((or @t74 (not @t99) @t130))) % 0.39/0.58 (assume-push @p284 @t73) % 0.39/0.58 (assume-push @p285 @t128) % 0.39/0.58 (assume-push @p286 @t99) % 0.39/0.58 (step @p147 :rule evaluate :args (@t117)) % 0.39/0.58 (step @p236 :rule true_intro :premises (@p72)) % 0.39/0.58 (step @p237 :rule symm :premises (@p285)) % 0.39/0.58 (step @p238 :rule cong :premises (@p237) :args (@t98)) % 0.39/0.58 (step @p239 :rule false_intro :premises (@p103)) % 0.39/0.58 (step @p240 :rule symm :premises (@p239)) % 0.39/0.58 (step @p241 :rule trans :premises (@p240 @p238 @p236)) % 0.39/0.58 (step @p242 false :rule eq_resolve :premises (@p241 @p147)) % 0.39/0.58 (step-pop @p287 :rule scope :premises (@p242)) % 0.39/0.58 (step-pop @p288 :rule scope :premises (@p287)) % 0.39/0.58 (step-pop @p289 :rule scope :premises (@p288)) % 0.39/0.58 (step @p243 :rule process_scope :premises (@p289) :args (false)) % 0.39/0.58 (assume-push @p290 @t73) % 0.39/0.58 (assume-push @p291 @t99) % 0.39/0.58 (assume-push @p292 @t128) % 0.39/0.58 (step @p250 :rule and_intro :premises (@p72 @p292 @p103)) % 0.39/0.58 (step-pop @p293 :rule scope :premises (@p250)) % 0.39/0.58 (step-pop @p294 :rule scope :premises (@p293)) % 0.39/0.58 (step-pop @p295 :rule scope :premises (@p294)) % 0.39/0.58 (step @p251 :rule process_scope :premises (@p295) :args (@t131)) % 0.39/0.58 (step @p255 :rule implies_elim :premises (@p251)) % 0.39/0.58 (step @p256 :rule resolution :premises (@p255 @p243) :args (true @t131)) % 0.39/0.58 (step @p257 :rule not_and :premises (@p256)) % 0.39/0.58 (step @p258 :rule eq_resolve :premises (@p257 @p232)) % 0.39/0.58 (step @p259 false :rule chain_m_resolution :premises (@p258 @p228 @p103 @p72) :args (false (@list false true false) (@list @t128 @t98 @t73))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------