%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS079+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:28:53 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS079+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.24 % Computer : n024.cluster.edu % 0.08/0.24 % Model : x86_64 x86_64 % 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.24 % Memory : 8042.1875MB % 0.08/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.24 % CPULimit : 300 % 0.08/0.24 % WCLimit : 300 % 0.08/0.24 % DateTime : Tue Jun 2 00:27:15 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Unsatisfiable % 0.15/0.37 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cp2 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.rf2 (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.i2003_11_14_17_19_17492 $$unsorted) % 0.15/0.38 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.15/0.38 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.38 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.38 (define @t3 () (= @t2 @t1)) % 0.15/0.38 (define @t4 () (@list @t2 @t1)) % 0.15/0.38 (define @t5 () (@var "C" $$unsorted)) % 0.15/0.38 (define @t6 () (@list @t2 @t1 @t5)) % 0.15/0.38 (define @t7 () (@var "X" $$unsorted)) % 0.15/0.38 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.15/0.38 (define @t9 () (tptp.cowlThing @t7)) % 0.15/0.38 (define @t10 () (@list @t7)) % 0.15/0.38 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.15/0.38 (define @t12 () (@var "Y" $$unsorted)) % 0.15/0.38 (define @t13 () (tptp.cowlThing @t12)) % 0.15/0.38 (define @t14 () (tptp.rr @t7 @t12)) % 0.15/0.38 (define @t15 () (and @t14 @t13)) % 0.15/0.38 (define @t16 () (@list @t12)) % 0.15/0.38 (define @t17 () (exists @t16 @t15)) % 0.15/0.38 (define @t18 () (tptp.cp1 @t12)) % 0.15/0.38 (define @t19 () (tptp.rf1 @t7 @t12)) % 0.15/0.38 (define @t20 () (and @t19 @t18)) % 0.15/0.38 (define @t21 () (exists @t16 @t20)) % 0.15/0.38 (define @t22 () (tptp.cp2 @t12)) % 0.15/0.38 (define @t23 () (tptp.rf2 @t7 @t12)) % 0.15/0.38 (define @t24 () (and @t23 @t22)) % 0.15/0.38 (define @t25 () (exists @t16 @t24)) % 0.15/0.38 (define @t26 () (and @t25 @t21 @t17)) % 0.15/0.38 (define @t27 () (tptp.cUnsatisfiable @t7)) % 0.15/0.38 (define @t28 () (= @t27 @t26)) % 0.15/0.38 (define @t29 () (forall @t10 @t28)) % 0.15/0.38 (define @t30 () (not (tptp.cp2 @t7))) % 0.15/0.38 (define @t31 () (tptp.cp1 @t7)) % 0.15/0.38 (define @t32 () (forall @t10 (=> @t31 @t30))) % 0.15/0.38 (define @t33 () (@var "Y1" $$unsorted)) % 0.15/0.38 (define @t34 () (@var "Y0" $$unsorted)) % 0.15/0.38 (define @t35 () (= @t34 @t33)) % 0.15/0.38 (define @t36 () (tptp.rf1 @t7 @t33)) % 0.15/0.38 (define @t37 () (tptp.rf1 @t7 @t34)) % 0.15/0.38 (define @t38 () (and @t37 @t36)) % 0.15/0.38 (define @t39 () (@list @t34 @t33)) % 0.15/0.38 (define @t40 () (forall @t39 (=> @t38 @t35))) % 0.15/0.38 (define @t41 () (=> @t9 @t40)) % 0.15/0.38 (define @t42 () (forall @t10 @t41)) % 0.15/0.38 (define @t43 () (tptp.rf2 @t7 @t33)) % 0.15/0.38 (define @t44 () (tptp.rf2 @t7 @t34)) % 0.15/0.38 (define @t45 () (and @t44 @t43)) % 0.15/0.38 (define @t46 () (forall @t39 (=> @t45 @t35))) % 0.15/0.38 (define @t47 () (=> @t9 @t46)) % 0.15/0.38 (define @t48 () (forall @t10 @t47)) % 0.15/0.38 (define @t49 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_17492)) % 0.15/0.38 (define @t50 () (@list @t7 @t12)) % 0.15/0.38 (define @t51 () (forall @t50 (=> @t14 @t19))) % 0.15/0.38 (define @t52 () (forall @t50 (=> @t14 @t23))) % 0.15/0.38 (define @t53 () (forall @t16 (not @t15))) % 0.15/0.38 (define @t54 () (not @t53)) % 0.15/0.38 (define @t55 () (forall @t16 (not @t20))) % 0.15/0.38 (define @t56 () (not @t55)) % 0.15/0.38 (define @t57 () (forall @t16 (not @t24))) % 0.15/0.38 (define @t58 () (not @t57)) % 0.15/0.38 (define @t59 () (@list tptp.i2003_11_14_17_19_17492)) % 0.15/0.38 (define @t60 () (forall @t16 (or (not (tptp.rr tptp.i2003_11_14_17_19_17492 @t12)) (not @t13)))) % 0.15/0.38 (define @t61 () (not @t60)) % 0.15/0.38 (define @t62 () (forall @t16 (or (not (tptp.rf1 tptp.i2003_11_14_17_19_17492 @t12)) (not @t18)))) % 0.15/0.38 (define @t63 () (not @t62)) % 0.15/0.38 (define @t64 () (forall @t16 (or (not (tptp.rf2 tptp.i2003_11_14_17_19_17492 @t12)) (not @t22)))) % 0.15/0.38 (define @t65 () (not @t64)) % 0.15/0.38 (define @t66 () (and @t65 @t63 @t61)) % 0.15/0.38 (define @t67 () (= @t49 @t66)) % 0.15/0.38 (define @t68 () (@list false false)) % 0.15/0.38 (define @t69 () (not @t66)) % 0.15/0.38 (define @t70 () (@list false)) % 0.15/0.38 (define @t71 () (@list @t66)) % 0.15/0.38 (define @t72 () (@quantifiers_skolemize @t62 0)) % 0.15/0.38 (define @t73 () (tptp.cp1 @t72)) % 0.15/0.38 (define @t74 () (not @t73)) % 0.15/0.38 (define @t75 () (tptp.rf1 tptp.i2003_11_14_17_19_17492 @t72)) % 0.15/0.38 (define @t76 () (not @t75)) % 0.15/0.38 (define @t77 () (or @t76 @t74)) % 0.15/0.38 (define @t78 () (@list true)) % 0.15/0.38 (define @t79 () (@list @t77)) % 0.15/0.38 (define @t80 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 0.15/0.38 (define @t81 () (@var "BOUND_VARIABLE_7769" $$unsorted)) % 0.15/0.38 (define @t82 () (= @t81 @t80)) % 0.15/0.38 (define @t83 () (not (tptp.rf1 @t7 @t80))) % 0.15/0.38 (define @t84 () (not (tptp.rf1 @t7 @t81))) % 0.15/0.38 (define @t85 () (not @t9)) % 0.15/0.38 (define @t86 () (or @t84 @t83 @t82)) % 0.15/0.38 (define @t87 () (or @t85 @t86)) % 0.15/0.38 (define @t88 () (forall (@list @t7 @t81 @t80) @t87)) % 0.15/0.38 (define @t89 () (@list @t81 @t80)) % 0.15/0.38 (define @t90 () (forall @t89 @t87)) % 0.15/0.38 (define @t91 () (forall @t89 @t86)) % 0.15/0.38 (define @t92 () (@list @t34 @t33)) % 0.15/0.38 (define @t93 () (or @t85 @t91)) % 0.15/0.38 (define @t94 () (not @t36)) % 0.15/0.38 (define @t95 () (not @t37)) % 0.15/0.38 (define @t96 () (or @t95 @t94 @t35)) % 0.15/0.38 (define @t97 () (forall @t39 @t96)) % 0.15/0.38 (define @t98 () (@quantifiers_skolemize @t60 0)) % 0.15/0.38 (define @t99 () (forall @t10 @t8)) % 0.15/0.38 (define @t100 () (@list @t7)) % 0.15/0.38 (define @t101 () (forall @t10 @t9)) % 0.15/0.38 (define @t102 () (and @t101 @t99)) % 0.15/0.38 (define @t103 () (@list tptp.i2003_11_14_17_19_17492 @t98)) % 0.15/0.38 (define @t104 () (tptp.rr tptp.i2003_11_14_17_19_17492 @t98)) % 0.15/0.38 (define @t105 () (not @t104)) % 0.15/0.38 (define @t106 () (or @t105 (not (tptp.cowlThing @t98)))) % 0.15/0.38 (define @t107 () (tptp.rf1 tptp.i2003_11_14_17_19_17492 @t98)) % 0.15/0.38 (define @t108 () (or @t105 @t107)) % 0.15/0.38 (define @t109 () (= @t72 @t98)) % 0.15/0.38 (define @t110 () (not @t107)) % 0.15/0.38 (define @t111 () (tptp.cowlThing tptp.i2003_11_14_17_19_17492)) % 0.15/0.38 (define @t112 () (not @t111)) % 0.15/0.38 (define @t113 () (or @t112 @t76 @t110 @t109)) % 0.15/0.38 (define @t114 () (@list false false false false)) % 0.15/0.38 (define @t115 () (@var "BOUND_VARIABLE_7797" $$unsorted)) % 0.15/0.38 (define @t116 () (@var "BOUND_VARIABLE_7795" $$unsorted)) % 0.15/0.38 (define @t117 () (= @t116 @t115)) % 0.15/0.38 (define @t118 () (not (tptp.rf2 @t7 @t115))) % 0.15/0.38 (define @t119 () (not (tptp.rf2 @t7 @t116))) % 0.15/0.38 (define @t120 () (or @t119 @t118 @t117)) % 0.15/0.38 (define @t121 () (or @t85 @t120)) % 0.15/0.38 (define @t122 () (forall (@list @t7 @t116 @t115) @t121)) % 0.15/0.38 (define @t123 () (@list @t116 @t115)) % 0.15/0.38 (define @t124 () (forall @t123 @t121)) % 0.15/0.38 (define @t125 () (forall @t123 @t120)) % 0.15/0.38 (define @t126 () (or @t85 @t125)) % 0.15/0.38 (define @t127 () (not @t43)) % 0.15/0.38 (define @t128 () (not @t44)) % 0.15/0.38 (define @t129 () (or @t128 @t127 @t35)) % 0.15/0.38 (define @t130 () (forall @t39 @t129)) % 0.15/0.38 (define @t131 () (@quantifiers_skolemize @t64 0)) % 0.15/0.38 (define @t132 () (tptp.rf2 tptp.i2003_11_14_17_19_17492 @t98)) % 0.15/0.38 (define @t133 () (or @t105 @t132)) % 0.15/0.38 (define @t134 () (tptp.rf2 tptp.i2003_11_14_17_19_17492 @t131)) % 0.15/0.38 (define @t135 () (tptp.cp2 @t131)) % 0.15/0.38 (define @t136 () (not @t135)) % 0.15/0.38 (define @t137 () (not @t134)) % 0.15/0.38 (define @t138 () (or @t137 @t136)) % 0.15/0.38 (define @t139 () (@list @t138)) % 0.15/0.38 (define @t140 () (= @t131 @t98)) % 0.15/0.38 (define @t141 () (not @t132)) % 0.15/0.38 (define @t142 () (or @t112 @t137 @t141 @t140)) % 0.15/0.38 (define @t143 () (tptp.cp1 @t131)) % 0.15/0.38 (define @t144 () (not @t143)) % 0.15/0.38 (define @t145 () (or @t144 @t136)) % 0.15/0.38 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.15/0.38 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.15/0.38 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.15/0.38 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.15/0.38 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp2 @t2)) (tptp.cp2 @t1)))) % 0.15/0.38 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.15/0.38 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.15/0.38 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rf2 @t2 @t5)) (tptp.rf2 @t1 @t5)))) % 0.15/0.38 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rf2 @t5 @t2)) (tptp.rf2 @t5 @t1)))) % 0.15/0.38 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.15/0.38 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.15/0.38 (assume @p12 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.15/0.38 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.15/0.38 (assume @p14 @t11) % 0.15/0.38 (assume @p15 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.15/0.38 (assume @p16 @t29) % 0.15/0.38 (assume @p17 @t32) % 0.15/0.38 (assume @p18 @t42) % 0.15/0.38 (assume @p19 @t48) % 0.15/0.38 (assume @p20 @t49) % 0.15/0.38 (assume @p21 @t51) % 0.15/0.38 (assume @p22 @t52) % 0.15/0.38 (step @p23 :rule evaluate :args ((= false true))) % 0.15/0.38 (step @p24 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.15/0.38 (step @p25 :rule cong :premises (@p24) :args (@t53)) % 0.15/0.38 (step @p26 :rule cong :premises (@p25) :args (@t54)) % 0.15/0.38 (step @p27 :rule exists-elim :args ((= @t17 @t54))) % 0.15/0.38 (step @p28 :rule trans :premises (@p27 @p26)) % 0.15/0.38 (step @p29 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.15/0.38 (step @p30 :rule cong :premises (@p29) :args (@t55)) % 0.15/0.38 (step @p31 :rule cong :premises (@p30) :args (@t56)) % 0.15/0.38 (step @p32 :rule exists-elim :args ((= @t21 @t56))) % 0.15/0.38 (step @p33 :rule trans :premises (@p32 @p31)) % 0.15/0.38 (step @p34 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.15/0.38 (step @p35 :rule cong :premises (@p34) :args (@t57)) % 0.15/0.38 (step @p36 :rule cong :premises (@p35) :args (@t58)) % 0.15/0.38 (step @p37 :rule exists-elim :args ((= @t25 @t58))) % 0.15/0.38 (step @p38 :rule trans :premises (@p37 @p36)) % 0.15/0.38 (step @p39 :rule nary_cong :premises (@p38 @p33 @p28) :args (@t26)) % 0.15/0.38 (step @p40 :rule refl :args (@t27)) % 0.15/0.38 (step @p41 :rule cong :premises (@p40 @p39) :args (@t28)) % 0.15/0.38 (step @p42 :rule cong :premises (@p41) :args (@t29)) % 0.15/0.38 (step @p43 :rule eq_resolve :premises (@p16 @p42)) % 0.15/0.38 (step @p44 :rule instantiate :premises (@p43) :args (@t59)) % 0.15/0.38 (step @p45 :rule cnf_equiv_pos1 :args (@t67)) % 0.15/0.38 (step @p46 :rule reordering :premises (@p45) :args ((or (not @t49) @t66 (not @t67)))) % 0.15/0.38 (step @p47 :rule chain_m_resolution :premises (@p46 @p20 @p44) :args (@t66 @t68 (@list @t49 @t67))) % 0.15/0.38 (step @p48 :rule cnf_and_pos :args (@t66 1)) % 0.15/0.38 (step @p49 :rule reordering :premises (@p48) :args ((or @t63 @t69))) % 0.15/0.38 (step @p50 :rule chain_m_resolution :premises (@p49 @p47) :args (@t63 @t70 @t71)) % 0.15/0.38 (step @p51 :rule skolemize :premises (@p50)) % 0.15/0.38 (step @p52 :rule bool-double-not-elim :args (@t73)) % 0.15/0.38 (step @p53 :rule refl :args (@t77)) % 0.15/0.38 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t77 (not @t74)))) % 0.15/0.38 (step @p55 :rule cnf_or_neg :args (@t77 1)) % 0.15/0.38 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.15/0.38 (step @p57 :rule reordering :premises (@p56) :args ((or @t73 @t77))) % 0.15/0.38 (step @p58 :rule chain_m_resolution :premises (@p57 @p51) :args (@t73 @t78 @t79)) % 0.15/0.38 (step @p59 :rule true_intro :premises (@p58)) % 0.15/0.38 (step @p60 :rule aci_norm :args ((= @t87 (or @t85 @t84 @t83 @t82)))) % 0.15/0.38 (step @p61 :rule cong :premises (@p60) :args (@t88)) % 0.15/0.38 (step @p62 :rule quant-merge-prenex :args ((= (forall @t10 @t90) @t88))) % 0.15/0.38 (step @p63 :rule alpha_equiv :args (@t91 (@list @t81 @t80) @t92)) % 0.15/0.38 (step @p64 :rule refl :args (@t85)) % 0.15/0.38 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t93)) % 0.15/0.38 (step @p66 :rule quant-miniscope-or :args ((= @t90 @t93))) % 0.15/0.38 (step @p67 :rule trans :premises (@p66 @p65)) % 0.15/0.38 (step @p68 :rule symm :premises (@p67)) % 0.15/0.38 (step @p69 :rule cong :premises (@p68) :args ((forall @t10 (or @t85 @t97)))) % 0.15/0.38 (step @p70 :rule trans :premises (@p69 @p62)) % 0.15/0.38 (step @p71 :rule trans :premises (@p70 @p61)) % 0.15/0.38 (step @p72 :rule bool-impl-elim :args (@t9 @t97)) % 0.15/0.38 (step @p73 :rule cong :premises (@p72) :args ((forall @t10 (=> @t9 @t97)))) % 0.15/0.38 (step @p74 :rule trans :premises (@p73 @p71)) % 0.15/0.38 (step @p75 :rule aci_norm :args ((= (or (or @t95 @t94) @t35) @t96))) % 0.15/0.38 (step @p76 :rule refl :args (@t35)) % 0.15/0.38 (step @p77 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.15/0.38 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t38) @t35))) % 0.15/0.38 (step @p79 :rule trans :premises (@p78 @p75)) % 0.15/0.38 (step @p80 :rule bool-impl-elim :args (@t38 @t35)) % 0.15/0.38 (step @p81 :rule trans :premises (@p80 @p79)) % 0.15/0.38 (step @p82 :rule cong :premises (@p81) :args (@t40)) % 0.15/0.38 (step @p83 :rule refl :args (@t9)) % 0.15/0.38 (step @p84 :rule cong :premises (@p83 @p82) :args (@t41)) % 0.15/0.38 (step @p85 :rule cong :premises (@p84) :args (@t42)) % 0.15/0.38 (step @p86 :rule trans :premises (@p85 @p74)) % 0.15/0.38 (step @p87 :rule eq_resolve :premises (@p18 @p86)) % 0.15/0.38 (step @p88 :rule instantiate :premises (@p87) :args ((@list tptp.i2003_11_14_17_19_17492 @t72 @t98))) % 0.15/0.38 (step @p89 :rule alpha_equiv :args (@t99 @t100 (@list (@var "BOUND_VARIABLE_7718" $$unsorted)))) % 0.15/0.38 (step @p90 :rule alpha_equiv :args (@t101 @t100 (@list (@var "BOUND_VARIABLE_7713" $$unsorted)))) % 0.15/0.38 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t102)) % 0.15/0.38 (step @p92 :rule quant-miniscope-and :args ((= @t11 @t102))) % 0.15/0.38 (step @p93 :rule trans :premises (@p92 @p91)) % 0.15/0.38 (step @p94 :rule eq_resolve :premises (@p14 @p93)) % 0.15/0.38 (step @p95 :rule and_elim :premises (@p94) :args (0)) % 0.15/0.38 (step @p96 :rule instantiate :premises (@p95) :args (@t59)) % 0.15/0.38 (step @p97 :rule bool-impl-elim :args (@t14 @t19)) % 0.15/0.38 (step @p98 :rule cong :premises (@p97) :args (@t51)) % 0.15/0.38 (step @p99 :rule eq_resolve :premises (@p21 @p98)) % 0.15/0.38 (step @p100 :rule instantiate :premises (@p99) :args (@t103)) % 0.15/0.38 (step @p101 :rule cnf_and_pos :args (@t66 2)) % 0.15/0.38 (step @p102 :rule reordering :premises (@p101) :args ((or @t61 @t69))) % 0.15/0.38 (step @p103 :rule chain_m_resolution :premises (@p102 @p47) :args (@t61 @t70 @t71)) % 0.15/0.38 (step @p104 :rule skolemize :premises (@p103)) % 0.15/0.38 (step @p105 :rule bool-double-not-elim :args (@t104)) % 0.15/0.38 (step @p106 :rule refl :args (@t106)) % 0.15/0.38 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t106 (not @t105)))) % 0.15/0.38 (step @p108 :rule cnf_or_neg :args (@t106 0)) % 0.15/0.38 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.15/0.38 (step @p110 :rule reordering :premises (@p109) :args ((or @t104 @t106))) % 0.15/0.38 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t104 @t78 (@list @t106))) % 0.15/0.38 (step @p112 :rule cnf_or_pos :args (@t108)) % 0.15/0.38 (step @p113 :rule reordering :premises (@p112) :args ((or @t105 @t107 (not @t108)))) % 0.15/0.38 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p100) :args (@t107 @t68 (@list @t104 @t108))) % 0.15/0.38 (step @p115 :rule bool-double-not-elim :args (@t75)) % 0.15/0.38 (step @p116 :rule nary_cong :premises (@p53 @p115) :args ((or @t77 (not @t76)))) % 0.15/0.38 (step @p117 :rule cnf_or_neg :args (@t77 0)) % 0.15/0.38 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.15/0.38 (step @p119 :rule reordering :premises (@p118) :args ((or @t75 @t77))) % 0.15/0.38 (step @p120 :rule chain_m_resolution :premises (@p119 @p51) :args (@t75 @t78 @t79)) % 0.15/0.38 (step @p121 :rule cnf_or_pos :args (@t113)) % 0.15/0.38 (step @p122 :rule reordering :premises (@p121) :args ((or @t76 @t110 @t112 @t109 (not @t113)))) % 0.15/0.38 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p114 @p96 @p88) :args (@t109 @t114 (@list @t75 @t107 @t111 @t113))) % 0.15/0.38 (step @p124 :rule symm :premises (@p123)) % 0.15/0.38 (step @p125 :rule aci_norm :args ((= @t121 (or @t85 @t119 @t118 @t117)))) % 0.15/0.38 (step @p126 :rule cong :premises (@p125) :args (@t122)) % 0.15/0.38 (step @p127 :rule quant-merge-prenex :args ((= (forall @t10 @t124) @t122))) % 0.15/0.38 (step @p128 :rule alpha_equiv :args (@t125 (@list @t116 @t115) @t92)) % 0.15/0.38 (step @p129 :rule nary_cong :premises (@p64 @p128) :args (@t126)) % 0.15/0.38 (step @p130 :rule quant-miniscope-or :args ((= @t124 @t126))) % 0.15/0.38 (step @p131 :rule trans :premises (@p130 @p129)) % 0.15/0.38 (step @p132 :rule symm :premises (@p131)) % 0.15/0.38 (step @p133 :rule cong :premises (@p132) :args ((forall @t10 (or @t85 @t130)))) % 0.15/0.38 (step @p134 :rule trans :premises (@p133 @p127)) % 0.15/0.38 (step @p135 :rule trans :premises (@p134 @p126)) % 0.15/0.38 (step @p136 :rule bool-impl-elim :args (@t9 @t130)) % 0.15/0.38 (step @p137 :rule cong :premises (@p136) :args ((forall @t10 (=> @t9 @t130)))) % 0.15/0.38 (step @p138 :rule trans :premises (@p137 @p135)) % 0.15/0.38 (step @p139 :rule aci_norm :args ((= (or (or @t128 @t127) @t35) @t129))) % 0.15/0.38 (step @p140 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.15/0.38 (step @p141 :rule nary_cong :premises (@p140 @p76) :args ((or (not @t45) @t35))) % 0.15/0.38 (step @p142 :rule trans :premises (@p141 @p139)) % 0.15/0.38 (step @p143 :rule bool-impl-elim :args (@t45 @t35)) % 0.15/0.38 (step @p144 :rule trans :premises (@p143 @p142)) % 0.15/0.38 (step @p145 :rule cong :premises (@p144) :args (@t46)) % 0.15/0.38 (step @p146 :rule cong :premises (@p83 @p145) :args (@t47)) % 0.15/0.38 (step @p147 :rule cong :premises (@p146) :args (@t48)) % 0.15/0.38 (step @p148 :rule trans :premises (@p147 @p138)) % 0.15/0.38 (step @p149 :rule eq_resolve :premises (@p19 @p148)) % 0.15/0.38 (step @p150 :rule instantiate :premises (@p149) :args ((@list tptp.i2003_11_14_17_19_17492 @t131 @t98))) % 0.15/0.38 (step @p151 :rule bool-impl-elim :args (@t14 @t23)) % 0.15/0.38 (step @p152 :rule cong :premises (@p151) :args (@t52)) % 0.15/0.38 (step @p153 :rule eq_resolve :premises (@p22 @p152)) % 0.15/0.38 (step @p154 :rule instantiate :premises (@p153) :args (@t103)) % 0.15/0.38 (step @p155 :rule cnf_or_pos :args (@t133)) % 0.15/0.38 (step @p156 :rule reordering :premises (@p155) :args ((or @t105 @t132 (not @t133)))) % 0.15/0.38 (step @p157 :rule chain_m_resolution :premises (@p156 @p111 @p154) :args (@t132 @t68 (@list @t104 @t133))) % 0.15/0.38 (step @p158 :rule cnf_and_pos :args (@t66 0)) % 0.15/0.38 (step @p159 :rule reordering :premises (@p158) :args ((or @t65 @t69))) % 0.15/0.38 (step @p160 :rule chain_m_resolution :premises (@p159 @p47) :args (@t65 @t70 @t71)) % 0.15/0.38 (step @p161 :rule skolemize :premises (@p160)) % 0.15/0.38 (step @p162 :rule bool-double-not-elim :args (@t134)) % 0.15/0.38 (step @p163 :rule refl :args (@t138)) % 0.15/0.38 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t138 (not @t137)))) % 0.15/0.38 (step @p165 :rule cnf_or_neg :args (@t138 0)) % 0.15/0.38 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.15/0.38 (step @p167 :rule reordering :premises (@p166) :args ((or @t134 @t138))) % 0.15/0.38 (step @p168 :rule chain_m_resolution :premises (@p167 @p161) :args (@t134 @t78 @t139)) % 0.15/0.38 (step @p169 :rule cnf_or_pos :args (@t142)) % 0.15/0.38 (step @p170 :rule reordering :premises (@p169) :args ((or @t137 @t141 @t112 @t140 (not @t142)))) % 0.15/0.38 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p157 @p96 @p150) :args (@t140 @t114 (@list @t134 @t132 @t111 @t142))) % 0.15/0.38 (step @p172 :rule trans :premises (@p171 @p124)) % 0.15/0.38 (step @p173 :rule cong :premises (@p172) :args (@t143)) % 0.15/0.38 (step @p174 :rule bool-impl-elim :args (@t31 @t30)) % 0.15/0.38 (step @p175 :rule cong :premises (@p174) :args (@t32)) % 0.15/0.38 (step @p176 :rule eq_resolve :premises (@p17 @p175)) % 0.15/0.38 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t131))) % 0.15/0.38 (step @p178 :rule bool-double-not-elim :args (@t135)) % 0.15/0.38 (step @p179 :rule nary_cong :premises (@p163 @p178) :args ((or @t138 (not @t136)))) % 0.15/0.38 (step @p180 :rule cnf_or_neg :args (@t138 1)) % 0.15/0.38 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.15/0.38 (step @p182 :rule reordering :premises (@p181) :args ((or @t135 @t138))) % 0.15/0.38 (step @p183 :rule chain_m_resolution :premises (@p182 @p161) :args (@t135 @t78 @t139)) % 0.15/0.38 (step @p184 :rule cnf_or_pos :args (@t145)) % 0.15/0.38 (step @p185 :rule reordering :premises (@p184) :args ((or @t136 @t144 (not @t145)))) % 0.15/0.38 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p177) :args (@t144 @t68 (@list @t135 @t145))) % 0.15/0.38 (step @p187 :rule false_intro :premises (@p186)) % 0.15/0.38 (step @p188 :rule symm :premises (@p187)) % 0.15/0.38 (step @p189 :rule trans :premises (@p188 @p173 @p59)) % 0.15/0.38 (step @p190 false :rule eq_resolve :premises (@p189 @p23)) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------