%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS104+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 : n028.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 08:28:56 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS104+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n028.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 05:27:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.i2003_11_14_17_20_50869 $$unsorted) % 0.38/0.57 (declare-const tptp.ra_Px7 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx6xcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ra_Px6 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cbxcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cb (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ra_Px5 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx8xcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ra_Px8 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx1 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx8 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx1xcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx6 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx7xcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ccxcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Cx7 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cUnsatisfiablexcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ra_Px3 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (@list @t1)) % 0.38/0.57 (define @t3 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.ra_Px5 @t1 @t3)) % 0.38/0.57 (define @t5 () (@list @t3)) % 0.38/0.57 (define @t6 () (exists @t5 @t4)) % 0.38/0.57 (define @t7 () (not @t6)) % 0.38/0.57 (define @t8 () (tptp.cUnsatisfiable @t1)) % 0.38/0.57 (define @t9 () (= @t8 @t7)) % 0.38/0.57 (define @t10 () (forall @t2 @t9)) % 0.38/0.57 (define @t11 () (tptp.ca_Cx6 @t1)) % 0.38/0.57 (define @t12 () (tptp.ca_Cx8 @t1)) % 0.38/0.57 (define @t13 () (tptp.ca_Cx7 @t1)) % 0.38/0.57 (define @t14 () (tptp.cUnsatisfiablexcomp @t1)) % 0.38/0.57 (define @t15 () (@var "Y0" $$unsorted)) % 0.38/0.57 (define @t16 () (tptp.ra_Px5 @t1 @t15)) % 0.38/0.57 (define @t17 () (@list @t15)) % 0.38/0.57 (define @t18 () (exists @t17 @t16)) % 0.38/0.57 (define @t19 () (= @t14 @t18)) % 0.38/0.57 (define @t20 () (forall @t2 @t19)) % 0.38/0.57 (define @t21 () (tptp.ca_Cx1 @t1)) % 0.38/0.57 (define @t22 () (tptp.ca @t1)) % 0.38/0.57 (define @t23 () (forall @t2 (=> @t22 @t21))) % 0.38/0.57 (define @t24 () (tptp.ra_Px3 @t1 @t15)) % 0.38/0.57 (define @t25 () (exists @t17 @t24)) % 0.38/0.57 (define @t26 () (tptp.cb @t1)) % 0.38/0.57 (define @t27 () (= @t26 @t25)) % 0.38/0.57 (define @t28 () (forall @t2 @t27)) % 0.38/0.57 (define @t29 () (tptp.ccxcomp @t1)) % 0.38/0.57 (define @t30 () (forall @t2 (=> @t26 @t29))) % 0.38/0.57 (define @t31 () (tptp.ra_Px3 @t1 @t3)) % 0.38/0.57 (define @t32 () (exists @t5 @t31)) % 0.38/0.57 (define @t33 () (not @t32)) % 0.38/0.57 (define @t34 () (tptp.cbxcomp @t1)) % 0.38/0.57 (define @t35 () (= @t34 @t33)) % 0.38/0.57 (define @t36 () (forall @t2 @t35)) % 0.38/0.57 (define @t37 () (tptp.ra_Px2 @t1 @t15)) % 0.38/0.57 (define @t38 () (exists @t17 @t37)) % 0.38/0.57 (define @t39 () (tptp.cc @t1)) % 0.38/0.57 (define @t40 () (= @t39 @t38)) % 0.38/0.57 (define @t41 () (forall @t2 @t40)) % 0.38/0.57 (define @t42 () (tptp.ra_Px2 @t1 @t3)) % 0.38/0.57 (define @t43 () (exists @t5 @t42)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (= @t29 @t44)) % 0.38/0.57 (define @t46 () (forall @t2 @t45)) % 0.38/0.57 (define @t47 () (tptp.ra_Px6 @t1 @t3)) % 0.38/0.57 (define @t48 () (exists @t5 @t47)) % 0.38/0.57 (define @t49 () (not @t48)) % 0.38/0.57 (define @t50 () (= @t11 @t49)) % 0.38/0.57 (define @t51 () (forall @t2 @t50)) % 0.38/0.57 (define @t52 () (tptp.ca_Cx6xcomp @t1)) % 0.38/0.57 (define @t53 () (tptp.ra_Px6 @t1 @t15)) % 0.38/0.57 (define @t54 () (exists @t17 @t53)) % 0.38/0.57 (define @t55 () (= @t52 @t54)) % 0.38/0.57 (define @t56 () (forall @t2 @t55)) % 0.38/0.57 (define @t57 () (tptp.ra_Px7 @t1 @t15)) % 0.38/0.57 (define @t58 () (exists @t17 @t57)) % 0.38/0.57 (define @t59 () (= @t13 @t58)) % 0.38/0.57 (define @t60 () (forall @t2 @t59)) % 0.38/0.57 (define @t61 () (tptp.ca_Cx7xcomp @t1)) % 0.38/0.57 (define @t62 () (tptp.ra_Px7 @t1 @t3)) % 0.38/0.57 (define @t63 () (exists @t5 @t62)) % 0.38/0.57 (define @t64 () (not @t63)) % 0.38/0.57 (define @t65 () (= @t61 @t64)) % 0.38/0.57 (define @t66 () (forall @t2 @t65)) % 0.38/0.57 (define @t67 () (tptp.ra_Px8 @t1 @t3)) % 0.38/0.57 (define @t68 () (exists @t5 @t67)) % 0.38/0.57 (define @t69 () (not @t68)) % 0.38/0.57 (define @t70 () (= @t12 @t69)) % 0.38/0.57 (define @t71 () (forall @t2 @t70)) % 0.38/0.57 (define @t72 () (tptp.ra_Px8 @t1 @t15)) % 0.38/0.57 (define @t73 () (exists @t17 @t72)) % 0.38/0.57 (define @t74 () (tptp.ca_Cx8xcomp @t1)) % 0.38/0.57 (define @t75 () (= @t74 @t73)) % 0.38/0.57 (define @t76 () (forall @t2 @t75)) % 0.38/0.57 (define @t77 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t78 () (forall @t5 (not @t42))) % 0.38/0.57 (define @t79 () (@list tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t80 () (forall @t5 (not @t67))) % 0.38/0.57 (define @t81 () (forall @t5 (not @t47))) % 0.38/0.57 (define @t82 () (tptp.cb tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t83 () (tptp.ca tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t84 () (and @t83 @t82)) % 0.38/0.57 (define @t85 () (not @t84)) % 0.38/0.57 (define @t86 () (tptp.ca_Cx1 tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t87 () (not @t83)) % 0.38/0.57 (define @t88 () (or @t87 @t86)) % 0.38/0.57 (define @t89 () (forall @t17 (not (tptp.ra_Px3 tptp.i2003_11_14_17_20_50869 @t15)))) % 0.38/0.57 (define @t90 () (not @t89)) % 0.38/0.57 (define @t91 () (= @t82 @t90)) % 0.38/0.57 (define @t92 () (not @t82)) % 0.38/0.57 (define @t93 () (tptp.ccxcomp tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t94 () (tptp.cbxcomp tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t95 () (and @t94 @t93)) % 0.38/0.57 (define @t96 () (= @t86 @t95)) % 0.38/0.57 (define @t97 () (@list @t15)) % 0.38/0.57 (define @t98 () (@list @t3)) % 0.38/0.57 (define @t99 () (not @t95)) % 0.38/0.57 (define @t100 () (forall @t5 (not @t31))) % 0.38/0.57 (define @t101 () (forall @t5 (not (tptp.ra_Px3 tptp.i2003_11_14_17_20_50869 @t3)))) % 0.38/0.57 (define @t102 () (= @t94 @t101)) % 0.38/0.57 (define @t103 () (tptp.ca_Cx6xcomp tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t104 () (= @t103 @t84)) % 0.38/0.57 (define @t105 () (not @t103)) % 0.38/0.57 (define @t106 () (@list true false)) % 0.38/0.57 (define @t107 () (forall @t17 (not (tptp.ra_Px6 tptp.i2003_11_14_17_20_50869 @t15)))) % 0.38/0.57 (define @t108 () (not @t107)) % 0.38/0.57 (define @t109 () (= @t103 @t108)) % 0.38/0.57 (define @t110 () (not @t109)) % 0.38/0.57 (define @t111 () (forall @t5 (not (tptp.ra_Px6 tptp.i2003_11_14_17_20_50869 @t3)))) % 0.38/0.57 (define @t112 () (@list false)) % 0.38/0.57 (define @t113 () (tptp.ca_Cx6 tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t114 () (= @t113 @t111)) % 0.38/0.57 (define @t115 () (@list false false)) % 0.38/0.57 (define @t116 () (forall @t5 (not @t62))) % 0.38/0.57 (define @t117 () (tptp.cc tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t118 () (and @t117 @t83)) % 0.38/0.57 (define @t119 () (not @t118)) % 0.38/0.57 (define @t120 () (forall @t17 (not (tptp.ra_Px2 tptp.i2003_11_14_17_20_50869 @t15)))) % 0.38/0.57 (define @t121 () (not @t120)) % 0.38/0.57 (define @t122 () (= @t117 @t121)) % 0.38/0.57 (define @t123 () (forall @t5 (not (tptp.ra_Px2 tptp.i2003_11_14_17_20_50869 @t3)))) % 0.38/0.57 (define @t124 () (= @t93 @t123)) % 0.38/0.57 (define @t125 () (tptp.ca_Cx7xcomp tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t126 () (= @t125 @t118)) % 0.38/0.57 (define @t127 () (not @t125)) % 0.38/0.57 (define @t128 () (forall @t5 (not (tptp.ra_Px7 tptp.i2003_11_14_17_20_50869 @t3)))) % 0.38/0.57 (define @t129 () (= @t125 @t128)) % 0.38/0.57 (define @t130 () (not @t128)) % 0.38/0.57 (define @t131 () (forall @t17 (not (tptp.ra_Px7 tptp.i2003_11_14_17_20_50869 @t15)))) % 0.38/0.57 (define @t132 () (not @t131)) % 0.38/0.57 (define @t133 () (@list true)) % 0.38/0.57 (define @t134 () (tptp.ca_Cx7 tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t135 () (= @t134 @t132)) % 0.38/0.57 (define @t136 () (not @t135)) % 0.38/0.57 (define @t137 () (forall @t5 (not @t4))) % 0.38/0.57 (define @t138 () (forall @t5 (not (tptp.ra_Px5 tptp.i2003_11_14_17_20_50869 @t3)))) % 0.38/0.57 (define @t139 () (= @t77 @t138)) % 0.38/0.57 (define @t140 () (forall @t17 (not (tptp.ra_Px5 tptp.i2003_11_14_17_20_50869 @t15)))) % 0.38/0.57 (define @t141 () (not @t140)) % 0.38/0.57 (define @t142 () (tptp.cUnsatisfiablexcomp tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t143 () (= @t142 @t141)) % 0.38/0.57 (define @t144 () (not @t142)) % 0.38/0.57 (define @t145 () (tptp.ca_Cx8 tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t146 () (and @t134 @t145 @t113)) % 0.38/0.57 (define @t147 () (= @t142 @t146)) % 0.38/0.57 (define @t148 () (not @t146)) % 0.38/0.57 (define @t149 () (@list true false false)) % 0.38/0.57 (define @t150 () (forall @t5 (not (tptp.ra_Px8 tptp.i2003_11_14_17_20_50869 @t3)))) % 0.38/0.57 (define @t151 () (= @t145 @t150)) % 0.38/0.57 (define @t152 () (not @t150)) % 0.38/0.57 (define @t153 () (forall @t17 (not (tptp.ra_Px8 tptp.i2003_11_14_17_20_50869 @t15)))) % 0.38/0.57 (define @t154 () (not @t153)) % 0.38/0.57 (define @t155 () (tptp.ca_Cx8xcomp tptp.i2003_11_14_17_20_50869)) % 0.38/0.57 (define @t156 () (= @t155 @t154)) % 0.38/0.57 (define @t157 () (not @t156)) % 0.38/0.57 (define @t158 () (and @t117 @t82)) % 0.38/0.57 (define @t159 () (= @t155 @t158)) % 0.38/0.57 (define @t160 () (not @t158)) % 0.38/0.57 (define @t161 () (@list @t158)) % 0.38/0.57 (define @t162 () (or @t92 @t93)) % 0.38/0.57 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.38/0.57 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.38/0.57 (assume @p3 @t10) % 0.38/0.57 (assume @p4 (forall @t2 (= @t14 (and @t13 @t12 @t11)))) % 0.38/0.57 (assume @p5 @t20) % 0.38/0.57 (assume @p6 @t23) % 0.38/0.57 (assume @p7 @t28) % 0.38/0.57 (assume @p8 @t30) % 0.38/0.57 (assume @p9 @t36) % 0.38/0.57 (assume @p10 @t41) % 0.38/0.57 (assume @p11 @t46) % 0.38/0.57 (assume @p12 (forall @t2 (= @t21 (and @t34 @t29)))) % 0.38/0.57 (assume @p13 (forall @t2 (= @t21 (exists @t17 (tptp.ra_Px1 @t1 @t15))))) % 0.38/0.57 (assume @p14 (forall @t2 (= (tptp.ca_Cx1xcomp @t1) (not (exists @t5 (tptp.ra_Px1 @t1 @t3)))))) % 0.38/0.57 (assume @p15 @t51) % 0.38/0.57 (assume @p16 (forall @t2 (= @t52 (and @t22 @t26)))) % 0.38/0.57 (assume @p17 @t56) % 0.38/0.57 (assume @p18 @t60) % 0.38/0.57 (assume @p19 (forall @t2 (= @t61 (and @t39 @t22)))) % 0.38/0.57 (assume @p20 @t66) % 0.38/0.57 (assume @p21 @t71) % 0.38/0.57 (assume @p22 @t76) % 0.38/0.57 (assume @p23 (forall @t2 (= @t74 (and @t39 @t26)))) % 0.38/0.57 (assume @p24 @t77) % 0.38/0.57 (step @p25 :rule bool-double-not-elim :args (@t78)) % 0.38/0.57 (step @p26 :rule exists-elim :args ((= @t43 (not @t78)))) % 0.38/0.57 (step @p27 :rule cong :premises (@p26) :args (@t44)) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p25)) % 0.38/0.57 (step @p29 :rule refl :args (@t29)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args (@t45)) % 0.38/0.57 (step @p31 :rule cong :premises (@p30) :args (@t46)) % 0.38/0.57 (step @p32 :rule eq_resolve :premises (@p11 @p31)) % 0.38/0.57 (step @p33 :rule instantiate :premises (@p32) :args (@t79)) % 0.38/0.57 (step @p34 :rule bool-impl-elim :args (@t26 @t29)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args (@t30)) % 0.38/0.57 (step @p36 :rule eq_resolve :premises (@p8 @p35)) % 0.38/0.57 (step @p37 :rule instantiate :premises (@p36) :args (@t79)) % 0.38/0.57 (step @p38 :rule instantiate :premises (@p23) :args (@t79)) % 0.38/0.57 (step @p39 :rule exists-elim :args ((= @t73 (not (forall @t17 (not @t72)))))) % 0.38/0.57 (step @p40 :rule refl :args (@t74)) % 0.38/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args (@t75)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t76)) % 0.38/0.57 (step @p43 :rule eq_resolve :premises (@p22 @p42)) % 0.38/0.57 (step @p44 :rule instantiate :premises (@p43) :args (@t79)) % 0.38/0.57 (step @p45 :rule bool-double-not-elim :args (@t80)) % 0.38/0.57 (step @p46 :rule exists-elim :args ((= @t68 (not @t80)))) % 0.38/0.57 (step @p47 :rule cong :premises (@p46) :args (@t69)) % 0.38/0.57 (step @p48 :rule trans :premises (@p47 @p45)) % 0.38/0.57 (step @p49 :rule refl :args (@t12)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args (@t70)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50) :args (@t71)) % 0.38/0.57 (step @p52 :rule eq_resolve :premises (@p21 @p51)) % 0.38/0.57 (step @p53 :rule instantiate :premises (@p52) :args (@t79)) % 0.38/0.57 (step @p54 :rule bool-double-not-elim :args (@t81)) % 0.38/0.57 (step @p55 :rule exists-elim :args ((= @t48 (not @t81)))) % 0.38/0.57 (step @p56 :rule cong :premises (@p55) :args (@t49)) % 0.38/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.38/0.57 (step @p58 :rule refl :args (@t11)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t50)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t51)) % 0.38/0.57 (step @p61 :rule eq_resolve :premises (@p15 @p60)) % 0.38/0.57 (step @p62 :rule instantiate :premises (@p61) :args (@t79)) % 0.38/0.57 (step @p63 :rule exists-elim :args ((= @t54 (not (forall @t17 (not @t53)))))) % 0.38/0.57 (step @p64 :rule refl :args (@t52)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args (@t55)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t56)) % 0.38/0.57 (step @p67 :rule eq_resolve :premises (@p17 @p66)) % 0.38/0.57 (step @p68 :rule instantiate :premises (@p67) :args (@t79)) % 0.38/0.57 (step @p69 :rule instantiate :premises (@p16) :args (@t79)) % 0.38/0.57 (step @p70 :rule cnf_and_pos :args (@t84 0)) % 0.38/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t83 @t85))) % 0.38/0.57 (step @p72 :rule cnf_and_pos :args (@t84 1)) % 0.38/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t82 @t85))) % 0.38/0.57 (step @p74 :rule bool-impl-elim :args (@t22 @t21)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74) :args (@t23)) % 0.38/0.57 (step @p76 :rule eq_resolve :premises (@p6 @p75)) % 0.38/0.57 (step @p77 :rule instantiate :premises (@p76) :args (@t79)) % 0.38/0.57 (step @p78 :rule cnf_or_pos :args (@t88)) % 0.38/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t87 @t86 (not @t88)))) % 0.38/0.57 (step @p80 :rule exists-elim :args ((= @t25 (not (forall @t17 (not @t24)))))) % 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0.38/0.57 (step @p107 :rule cnf_equiv_pos1 :args (@t104)) % 0.38/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t84 @t105 (not @t104)))) % 0.38/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p69) :args (@t105 @t106 (@list @t84 @t104))) % 0.38/0.57 (step @p110 :rule bool-double-not-elim :args (@t107)) % 0.38/0.57 (step @p111 :rule refl :args (@t103)) % 0.38/0.57 (step @p112 :rule refl :args (@t110)) % 0.38/0.57 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args ((or @t110 @t103 (not @t108)))) % 0.38/0.57 (step @p114 :rule cnf_equiv_pos2 :args (@t109)) % 0.38/0.57 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.38/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t103 @t107 @t110))) % 0.38/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p109 @p68) :args (@t107 @t106 (@list @t103 @t109))) % 0.38/0.57 (step @p118 :rule alpha_equiv :args (@t111 @t98 @t97)) % 0.38/0.57 (step @p119 :rule equiv_elim2 :premises 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(step @p147 :rule cong :premises (@p146) :args (@t41)) % 0.38/0.57 (step @p148 :rule eq_resolve :premises (@p10 @p147)) % 0.38/0.57 (step @p149 :rule instantiate :premises (@p148) :args (@t79)) % 0.38/0.57 (step @p150 :rule cnf_equiv_pos1 :args (@t122)) % 0.38/0.57 (step @p151 :rule reordering :premises (@p150) :args ((or @t121 (not @t117) (not @t122)))) % 0.38/0.57 (step @p152 :rule alpha_equiv :args (@t120 @t97 @t98)) % 0.38/0.57 (step @p153 :rule equiv_elim2 :premises (@p152)) % 0.38/0.57 (step @p154 :rule cnf_equiv_pos1 :args (@t124)) % 0.38/0.57 (step @p155 :rule reordering :premises (@p154) :args ((or @t123 (not @t93) (not @t124)))) % 0.38/0.57 (step @p156 :rule cnf_and_pos :args (@t95 1)) % 0.38/0.57 (step @p157 :rule reordering :premises (@p156) :args ((or @t93 @t99))) % 0.38/0.57 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p33 @p90 @p88 @p153 @p79 @p77 @p151 @p149 @p143 @p141) :args (@t119 (@list true false false false true false false true false false false) (@list @t93 @t124 @t95 @t96 @t123 @t86 @t88 @t120 @t122 @t83 @t117))) % 0.38/0.57 (step @p159 :rule cnf_equiv_pos1 :args (@t126)) % 0.38/0.57 (step @p160 :rule reordering :premises (@p159) :args ((or @t118 @t127 (not @t126)))) % 0.38/0.57 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p139) :args (@t127 @t106 (@list @t118 @t126))) % 0.38/0.57 (step @p162 :rule cnf_equiv_pos2 :args (@t129)) % 0.38/0.57 (step @p163 :rule reordering :premises (@p162) :args ((or @t125 @t130 (not @t129)))) % 0.38/0.57 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p138) :args (@t130 @t106 (@list @t125 @t129))) % 0.38/0.57 (step @p165 :rule alpha_equiv :args (@t131 @t97 @t98)) % 0.38/0.57 (step @p166 :rule equiv_elim1 :premises (@p165)) % 0.38/0.57 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t132 @t133 (@list @t128))) % 0.38/0.57 (step @p168 :rule bool-double-not-elim :args (@t131)) % 0.38/0.57 (step @p169 :rule refl :args (@t134)) % 0.38/0.57 (step @p170 :rule refl :args (@t136)) % 0.38/0.57 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args ((or @t136 @t134 (not @t132)))) % 0.38/0.57 (step @p172 :rule cnf_equiv_pos2 :args (@t135)) % 0.38/0.57 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.38/0.57 (step @p174 :rule reordering :premises (@p173) :args ((or @t134 @t131 @t136))) % 0.38/0.57 (step @p175 :rule chain_m_resolution :premises (@p174 @p167 @p129) :args (@t134 @t106 (@list @t131 @t135))) % 0.38/0.57 (step @p176 :rule instantiate :premises (@p4) :args (@t79)) % 0.38/0.57 (step @p177 :rule exists-elim :args ((= @t18 (not (forall @t17 (not @t16)))))) % 0.38/0.57 (step @p178 :rule refl :args (@t14)) % 0.38/0.57 (step @p179 :rule cong :premises (@p178 @p177) :args (@t19)) % 0.38/0.57 (step @p180 :rule cong :premises (@p179) :args (@t20)) % 0.38/0.57 (step @p181 :rule eq_resolve :premises (@p5 @p180)) % 0.38/0.57 (step @p182 :rule instantiate :premises (@p181) :args (@t79)) % 0.38/0.57 (step @p183 :rule bool-double-not-elim :args (@t137)) % 0.38/0.57 (step @p184 :rule exists-elim :args ((= @t6 (not @t137)))) % 0.38/0.57 (step @p185 :rule cong :premises (@p184) :args (@t7)) % 0.38/0.57 (step @p186 :rule trans :premises (@p185 @p183)) % 0.38/0.57 (step @p187 :rule refl :args (@t8)) % 0.38/0.57 (step @p188 :rule cong :premises (@p187 @p186) :args (@t9)) % 0.38/0.57 (step @p189 :rule cong :premises (@p188) :args (@t10)) % 0.38/0.57 (step @p190 :rule eq_resolve :premises (@p3 @p189)) % 0.38/0.57 (step @p191 :rule instantiate :premises (@p190) :args (@t79)) % 0.38/0.57 (step @p192 :rule cnf_equiv_pos1 :args (@t139)) % 0.38/0.57 (step @p193 :rule reordering :premises (@p192) :args ((or (not @t77) @t138 (not @t139)))) % 0.38/0.57 (step @p194 :rule chain_m_resolution :premises (@p193 @p24 @p191) :args (@t138 @t115 (@list @t77 @t139))) % 0.38/0.57 (step @p195 :rule alpha_equiv :args (@t138 @t98 @t97)) % 0.38/0.57 (step @p196 :rule equiv_elim1 :premises (@p195)) % 0.38/0.57 (step @p197 :rule chain_m_resolution :premises (@p196 @p194) :args (@t140 @t112 (@list @t138))) % 0.38/0.57 (step @p198 :rule cnf_equiv_pos1 :args (@t143)) % 0.38/0.57 (step @p199 :rule reordering :premises (@p198) :args ((or @t141 @t144 (not @t143)))) % 0.38/0.57 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p182) :args (@t144 @t115 (@list @t140 @t143))) % 0.38/0.57 (step @p201 :rule cnf_equiv_pos2 :args (@t147)) % 0.38/0.57 (step @p202 :rule reordering :premises (@p201) :args ((or @t142 @t148 (not @t147)))) % 0.38/0.57 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p176) :args (@t148 @t106 (@list @t142 @t147))) % 0.38/0.57 (step @p204 :rule cnf_and_neg :args (@t146)) % 0.38/0.57 (step @p205 :rule chain_m_resolution :premises (@p204 @p203 @p175 @p123) :args ((not @t145) @t149 (@list @t146 @t134 @t113))) % 0.38/0.57 (step @p206 :rule cnf_equiv_pos2 :args (@t151)) % 0.38/0.57 (step @p207 :rule reordering :premises (@p206) :args ((or @t145 @t152 (not @t151)))) % 0.38/0.57 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p53) :args (@t152 @t106 (@list @t145 @t151))) % 0.38/0.57 (step @p209 :rule alpha_equiv :args (@t150 @t98 @t97)) % 0.38/0.57 (step @p210 :rule equiv_elim2 :premises (@p209)) % 0.38/0.57 (step @p211 :rule chain_m_resolution :premises (@p210 @p208) :args (@t154 @t133 (@list @t150))) % 0.38/0.57 (step @p212 :rule bool-double-not-elim :args (@t153)) % 0.38/0.57 (step @p213 :rule refl :args (@t155)) % 0.38/0.57 (step @p214 :rule refl :args (@t157)) % 0.38/0.57 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212) :args ((or @t157 @t155 (not @t154)))) % 0.38/0.57 (step @p216 :rule cnf_equiv_pos2 :args (@t156)) % 0.38/0.57 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 0.38/0.57 (step @p218 :rule reordering :premises (@p217) :args ((or @t155 @t153 @t157))) % 0.38/0.57 (step @p219 :rule chain_m_resolution :premises (@p218 @p211 @p44) :args (@t155 @t106 (@list @t153 @t156))) % 0.38/0.57 (step @p220 :rule cnf_equiv_pos1 :args (@t159)) % 0.38/0.57 (step @p221 :rule reordering :premises (@p220) :args ((or @t158 (not @t155) (not @t159)))) % 0.38/0.57 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p38) :args (@t158 @t115 (@list @t155 @t159))) % 0.38/0.57 (step @p223 :rule cnf_and_pos :args (@t158 1)) % 0.38/0.57 (step @p224 :rule reordering :premises (@p223) :args ((or @t82 @t160))) % 0.38/0.57 (step @p225 :rule chain_m_resolution :premises (@p224 @p222) :args (@t82 @t112 @t161)) % 0.38/0.57 (step @p226 :rule cnf_or_pos :args (@t162)) % 0.38/0.57 (step @p227 :rule reordering :premises (@p226) :args ((or @t92 @t93 (not @t162)))) % 0.38/0.57 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p37) :args (@t93 @t115 (@list @t82 @t162))) % 0.38/0.57 (step @p229 :rule cnf_and_pos :args (@t158 0)) % 0.38/0.57 (step @p230 :rule reordering :premises (@p229) :args ((or @t117 @t160))) % 0.38/0.57 (step @p231 :rule chain_m_resolution :premises (@p230 @p222) :args (@t117 @t112 @t161)) % 0.38/0.57 (step @p232 :rule chain_m_resolution :premises (@p151 @p231 @p149) :args (@t121 @t115 (@list @t117 @t122))) % 0.38/0.57 (step @p233 :rule chain_m_resolution :premises (@p153 @p232) :args ((not @t123) @t133 (@list @t120))) % 0.38/0.57 (step @p234 false :rule chain_m_resolution :premises (@p155 @p233 @p228 @p33) :args (false @t149 (@list @t123 @t93 @t124))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------