%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS115+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 : n020.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 08:28:57 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.57s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS115+1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:28:11 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.57 % SZS status Unsatisfiable % 0.34/0.57 % SZS output start Proof % 0.42/0.59 ( % 0.42/0.59 (declare-sort $$unsorted 0) % 0.42/0.59 (declare-const tptp.i2003_11_14_17_21_30578 $$unsorted) % 0.42/0.59 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.rf2 (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.cp2xcomp (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.cp2 (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.42/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.42/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.42/0.59 (define @t3 () (= @t2 @t1)) % 0.42/0.59 (define @t4 () (@list @t2 @t1)) % 0.42/0.59 (define @t5 () (@var "C" $$unsorted)) % 0.42/0.59 (define @t6 () (@list @t2 @t1 @t5)) % 0.42/0.59 (define @t7 () (@var "X" $$unsorted)) % 0.42/0.59 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.42/0.59 (define @t9 () (tptp.cowlThing @t7)) % 0.42/0.59 (define @t10 () (@list @t7)) % 0.42/0.59 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.42/0.59 (define @t12 () (@var "Y" $$unsorted)) % 0.42/0.59 (define @t13 () (tptp.cowlThing @t12)) % 0.42/0.59 (define @t14 () (tptp.rr @t7 @t12)) % 0.42/0.59 (define @t15 () (and @t14 @t13)) % 0.42/0.59 (define @t16 () (@list @t12)) % 0.42/0.59 (define @t17 () (exists @t16 @t15)) % 0.42/0.59 (define @t18 () (tptp.cp1 @t12)) % 0.42/0.59 (define @t19 () (tptp.rf1 @t7 @t12)) % 0.42/0.59 (define @t20 () (and @t19 @t18)) % 0.42/0.59 (define @t21 () (exists @t16 @t20)) % 0.42/0.59 (define @t22 () (tptp.cp2 @t12)) % 0.42/0.59 (define @t23 () (tptp.rf2 @t7 @t12)) % 0.42/0.59 (define @t24 () (and @t23 @t22)) % 0.42/0.59 (define @t25 () (exists @t16 @t24)) % 0.42/0.59 (define @t26 () (and @t25 @t21 @t17)) % 0.42/0.59 (define @t27 () (tptp.cUnsatisfiable @t7)) % 0.42/0.59 (define @t28 () (= @t27 @t26)) % 0.42/0.59 (define @t29 () (forall @t10 @t28)) % 0.42/0.59 (define @t30 () (tptp.cp2xcomp @t7)) % 0.42/0.59 (define @t31 () (tptp.cp1 @t7)) % 0.42/0.59 (define @t32 () (forall @t10 (=> @t31 @t30))) % 0.42/0.59 (define @t33 () (tptp.ra_Px1 @t7 @t12)) % 0.42/0.59 (define @t34 () (exists @t16 @t33)) % 0.42/0.59 (define @t35 () (not @t34)) % 0.42/0.59 (define @t36 () (tptp.cp2 @t7)) % 0.42/0.59 (define @t37 () (= @t36 @t35)) % 0.42/0.59 (define @t38 () (forall @t10 @t37)) % 0.42/0.59 (define @t39 () (@var "Y0" $$unsorted)) % 0.42/0.59 (define @t40 () (tptp.ra_Px1 @t7 @t39)) % 0.42/0.59 (define @t41 () (@list @t39)) % 0.42/0.59 (define @t42 () (exists @t41 @t40)) % 0.42/0.59 (define @t43 () (= @t30 @t42)) % 0.42/0.59 (define @t44 () (forall @t10 @t43)) % 0.42/0.59 (define @t45 () (@var "Y1" $$unsorted)) % 0.42/0.59 (define @t46 () (= @t39 @t45)) % 0.42/0.59 (define @t47 () (tptp.rf1 @t7 @t45)) % 0.42/0.59 (define @t48 () (tptp.rf1 @t7 @t39)) % 0.42/0.59 (define @t49 () (and @t48 @t47)) % 0.42/0.59 (define @t50 () (@list @t39 @t45)) % 0.42/0.59 (define @t51 () (forall @t50 (=> @t49 @t46))) % 0.42/0.59 (define @t52 () (=> @t9 @t51)) % 0.42/0.59 (define @t53 () (forall @t10 @t52)) % 0.42/0.59 (define @t54 () (tptp.rf2 @t7 @t45)) % 0.42/0.59 (define @t55 () (tptp.rf2 @t7 @t39)) % 0.42/0.59 (define @t56 () (and @t55 @t54)) % 0.42/0.59 (define @t57 () (forall @t50 (=> @t56 @t46))) % 0.42/0.59 (define @t58 () (=> @t9 @t57)) % 0.42/0.59 (define @t59 () (forall @t10 @t58)) % 0.42/0.59 (define @t60 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_30578)) % 0.42/0.59 (define @t61 () (@list @t7 @t12)) % 0.42/0.59 (define @t62 () (forall @t61 (=> @t14 @t23))) % 0.42/0.59 (define @t63 () (forall @t61 (=> @t14 @t19))) % 0.42/0.59 (define @t64 () (forall @t16 (not @t33))) % 0.42/0.59 (define @t65 () (forall @t16 (or (not (tptp.rf2 tptp.i2003_11_14_17_21_30578 @t12)) (not @t22)))) % 0.42/0.59 (define @t66 () (@quantifiers_skolemize @t65 0)) % 0.42/0.59 (define @t67 () (forall @t16 (not @t15))) % 0.42/0.59 (define @t68 () (not @t67)) % 0.42/0.59 (define @t69 () (forall @t16 (not @t20))) % 0.42/0.59 (define @t70 () (not @t69)) % 0.42/0.59 (define @t71 () (forall @t16 (not @t24))) % 0.42/0.59 (define @t72 () (not @t71)) % 0.42/0.59 (define @t73 () (@list tptp.i2003_11_14_17_21_30578)) % 0.42/0.59 (define @t74 () (forall @t16 (or (not (tptp.rr tptp.i2003_11_14_17_21_30578 @t12)) (not @t13)))) % 0.42/0.59 (define @t75 () (not @t74)) % 0.42/0.59 (define @t76 () (forall @t16 (or (not (tptp.rf1 tptp.i2003_11_14_17_21_30578 @t12)) (not @t18)))) % 0.42/0.59 (define @t77 () (not @t76)) % 0.42/0.59 (define @t78 () (not @t65)) % 0.42/0.59 (define @t79 () (and @t78 @t77 @t75)) % 0.42/0.59 (define @t80 () (= @t60 @t79)) % 0.42/0.59 (define @t81 () (@list false false)) % 0.42/0.59 (define @t82 () (not @t79)) % 0.42/0.59 (define @t83 () (@list false)) % 0.42/0.59 (define @t84 () (@list @t79)) % 0.42/0.59 (define @t85 () (tptp.cp2 @t66)) % 0.42/0.59 (define @t86 () (not @t85)) % 0.42/0.59 (define @t87 () (tptp.rf2 tptp.i2003_11_14_17_21_30578 @t66)) % 0.42/0.59 (define @t88 () (not @t87)) % 0.42/0.59 (define @t89 () (or @t88 @t86)) % 0.42/0.59 (define @t90 () (@list true)) % 0.42/0.59 (define @t91 () (@list @t89)) % 0.42/0.59 (define @t92 () (forall @t16 (not (tptp.ra_Px1 @t66 @t12)))) % 0.42/0.59 (define @t93 () (= @t85 @t92)) % 0.42/0.59 (define @t94 () (@quantifiers_skolemize @t76 0)) % 0.42/0.59 (define @t95 () (@list @t94)) % 0.42/0.59 (define @t96 () (tptp.cp1 @t94)) % 0.42/0.59 (define @t97 () (not @t96)) % 0.42/0.59 (define @t98 () (tptp.rf1 tptp.i2003_11_14_17_21_30578 @t94)) % 0.42/0.59 (define @t99 () (not @t98)) % 0.42/0.59 (define @t100 () (or @t99 @t97)) % 0.42/0.59 (define @t101 () (@list @t100)) % 0.42/0.59 (define @t102 () (tptp.cp2xcomp @t94)) % 0.42/0.59 (define @t103 () (or @t97 @t102)) % 0.42/0.59 (define @t104 () (forall @t41 (not (tptp.ra_Px1 @t94 @t39)))) % 0.42/0.59 (define @t105 () (not @t104)) % 0.42/0.59 (define @t106 () (= @t102 @t105)) % 0.42/0.59 (define @t107 () (@quantifiers_skolemize @t104 0)) % 0.42/0.59 (define @t108 () (tptp.ra_Px1 @t94 @t107)) % 0.42/0.59 (define @t109 () (not (not @t108))) % 0.42/0.59 (define @t110 () (@var "BOUND_VARIABLE_7847" $$unsorted)) % 0.42/0.59 (define @t111 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 0.42/0.59 (define @t112 () (= @t111 @t110)) % 0.42/0.59 (define @t113 () (not (tptp.rf1 @t7 @t110))) % 0.42/0.59 (define @t114 () (not (tptp.rf1 @t7 @t111))) % 0.42/0.59 (define @t115 () (not @t9)) % 0.42/0.59 (define @t116 () (or @t114 @t113 @t112)) % 0.42/0.59 (define @t117 () (or @t115 @t116)) % 0.42/0.59 (define @t118 () (forall (@list @t7 @t111 @t110) @t117)) % 0.42/0.59 (define @t119 () (@list @t111 @t110)) % 0.42/0.59 (define @t120 () (forall @t119 @t117)) % 0.42/0.59 (define @t121 () (forall @t119 @t116)) % 0.42/0.59 (define @t122 () (@list @t39 @t45)) % 0.42/0.59 (define @t123 () (or @t115 @t121)) % 0.42/0.59 (define @t124 () (not @t47)) % 0.42/0.59 (define @t125 () (not @t48)) % 0.42/0.59 (define @t126 () (or @t125 @t124 @t46)) % 0.42/0.59 (define @t127 () (forall @t50 @t126)) % 0.42/0.59 (define @t128 () (@quantifiers_skolemize @t74 0)) % 0.42/0.59 (define @t129 () (forall @t10 @t8)) % 0.42/0.59 (define @t130 () (@list @t7)) % 0.42/0.59 (define @t131 () (forall @t10 @t9)) % 0.42/0.59 (define @t132 () (and @t131 @t129)) % 0.42/0.59 (define @t133 () (@list tptp.i2003_11_14_17_21_30578 @t128)) % 0.42/0.59 (define @t134 () (tptp.rr tptp.i2003_11_14_17_21_30578 @t128)) % 0.42/0.59 (define @t135 () (not @t134)) % 0.42/0.59 (define @t136 () (or @t135 (not (tptp.cowlThing @t128)))) % 0.42/0.59 (define @t137 () (tptp.rf1 tptp.i2003_11_14_17_21_30578 @t128)) % 0.42/0.59 (define @t138 () (or @t135 @t137)) % 0.42/0.59 (define @t139 () (= @t94 @t128)) % 0.42/0.59 (define @t140 () (not @t137)) % 0.42/0.59 (define @t141 () (tptp.cowlThing tptp.i2003_11_14_17_21_30578)) % 0.42/0.59 (define @t142 () (not @t141)) % 0.42/0.59 (define @t143 () (or @t142 @t99 @t140 @t139)) % 0.42/0.59 (define @t144 () (@list false false false false)) % 0.42/0.59 (define @t145 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 0.42/0.59 (define @t146 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 0.42/0.59 (define @t147 () (= @t146 @t145)) % 0.42/0.59 (define @t148 () (not (tptp.rf2 @t7 @t145))) % 0.42/0.59 (define @t149 () (not (tptp.rf2 @t7 @t146))) % 0.42/0.59 (define @t150 () (or @t149 @t148 @t147)) % 0.42/0.59 (define @t151 () (or @t115 @t150)) % 0.42/0.59 (define @t152 () (forall (@list @t7 @t146 @t145) @t151)) % 0.42/0.59 (define @t153 () (@list @t146 @t145)) % 0.42/0.59 (define @t154 () (forall @t153 @t151)) % 0.42/0.59 (define @t155 () (forall @t153 @t150)) % 0.42/0.59 (define @t156 () (or @t115 @t155)) % 0.42/0.59 (define @t157 () (not @t54)) % 0.42/0.59 (define @t158 () (not @t55)) % 0.42/0.59 (define @t159 () (or @t158 @t157 @t46)) % 0.42/0.59 (define @t160 () (forall @t50 @t159)) % 0.42/0.59 (define @t161 () (tptp.rf2 tptp.i2003_11_14_17_21_30578 @t128)) % 0.42/0.59 (define @t162 () (or @t135 @t161)) % 0.42/0.59 (define @t163 () (= @t66 @t128)) % 0.42/0.59 (define @t164 () (not @t161)) % 0.42/0.59 (define @t165 () (or @t142 @t88 @t164 @t163)) % 0.42/0.59 (define @t166 () (tptp.ra_Px1 @t66 @t107)) % 0.42/0.59 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.42/0.59 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.42/0.59 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.42/0.59 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.42/0.59 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp2 @t2)) (tptp.cp2 @t1)))) % 0.42/0.59 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp2xcomp @t2)) (tptp.cp2xcomp @t1)))) % 0.42/0.59 (assume @p7 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.42/0.59 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.42/0.59 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.42/0.59 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.42/0.59 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf2 @t2 @t5)) (tptp.rf2 @t1 @t5)))) % 0.42/0.59 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rf2 @t5 @t2)) (tptp.rf2 @t5 @t1)))) % 0.42/0.59 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.42/0.59 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.42/0.59 (assume @p15 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.42/0.59 (assume @p16 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.42/0.59 (assume @p17 @t11) % 0.42/0.59 (assume @p18 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.42/0.59 (assume @p19 @t29) % 0.42/0.59 (assume @p20 @t32) % 0.42/0.59 (assume @p21 @t38) % 0.42/0.59 (assume @p22 @t44) % 0.42/0.59 (assume @p23 @t53) % 0.42/0.59 (assume @p24 @t59) % 0.42/0.59 (assume @p25 @t60) % 0.42/0.59 (assume @p26 @t62) % 0.42/0.59 (assume @p27 @t63) % 0.42/0.59 (step @p28 :rule bool-double-not-elim :args (@t64)) % 0.42/0.59 (step @p29 :rule exists-elim :args ((= @t34 (not @t64)))) % 0.42/0.59 (step @p30 :rule cong :premises (@p29) :args (@t35)) % 0.42/0.59 (step @p31 :rule trans :premises (@p30 @p28)) % 0.42/0.59 (step @p32 :rule refl :args (@t36)) % 0.42/0.59 (step @p33 :rule cong :premises (@p32 @p31) :args (@t37)) % 0.42/0.59 (step @p34 :rule cong :premises (@p33) :args (@t38)) % 0.42/0.59 (step @p35 :rule eq_resolve :premises (@p21 @p34)) % 0.42/0.59 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t66))) % 0.42/0.59 (step @p37 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.42/0.59 (step @p38 :rule cong :premises (@p37) :args (@t67)) % 0.42/0.59 (step @p39 :rule cong :premises (@p38) :args (@t68)) % 0.42/0.59 (step @p40 :rule exists-elim :args ((= @t17 @t68))) % 0.42/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.42/0.59 (step @p42 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.42/0.59 (step @p43 :rule cong :premises (@p42) :args (@t69)) % 0.42/0.59 (step @p44 :rule cong :premises (@p43) :args (@t70)) % 0.42/0.59 (step @p45 :rule exists-elim :args ((= @t21 @t70))) % 0.42/0.59 (step @p46 :rule trans :premises (@p45 @p44)) % 0.42/0.59 (step @p47 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.42/0.59 (step @p48 :rule cong :premises (@p47) :args (@t71)) % 0.42/0.59 (step @p49 :rule cong :premises (@p48) :args (@t72)) % 0.42/0.59 (step @p50 :rule exists-elim :args ((= @t25 @t72))) % 0.42/0.59 (step @p51 :rule trans :premises (@p50 @p49)) % 0.42/0.59 (step @p52 :rule nary_cong :premises (@p51 @p46 @p41) :args (@t26)) % 0.42/0.59 (step @p53 :rule refl :args (@t27)) % 0.42/0.59 (step @p54 :rule cong :premises (@p53 @p52) :args (@t28)) % 0.42/0.59 (step @p55 :rule cong :premises (@p54) :args (@t29)) % 0.42/0.59 (step @p56 :rule eq_resolve :premises (@p19 @p55)) % 0.42/0.59 (step @p57 :rule instantiate :premises (@p56) :args (@t73)) % 0.42/0.59 (step @p58 :rule cnf_equiv_pos1 :args (@t80)) % 0.42/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or (not @t60) @t79 (not @t80)))) % 0.42/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p25 @p57) :args (@t79 @t81 (@list @t60 @t80))) % 0.42/0.59 (step @p61 :rule cnf_and_pos :args (@t79 0)) % 0.42/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t78 @t82))) % 0.42/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t78 @t83 @t84)) % 0.42/0.59 (step @p64 :rule skolemize :premises (@p63)) % 0.42/0.59 (step @p65 :rule bool-double-not-elim :args (@t85)) % 0.42/0.59 (step @p66 :rule refl :args (@t89)) % 0.42/0.59 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t89 (not @t86)))) % 0.42/0.59 (step @p68 :rule cnf_or_neg :args (@t89 1)) % 0.42/0.59 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.42/0.59 (step @p70 :rule reordering :premises (@p69) :args ((or @t85 @t89))) % 0.42/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t85 @t90 @t91)) % 0.42/0.59 (step @p72 :rule cnf_equiv_pos1 :args (@t93)) % 0.42/0.59 (step @p73 :rule reordering :premises (@p72) :args ((or @t86 @t92 (not @t93)))) % 0.42/0.59 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p36) :args (@t92 @t81 (@list @t85 @t93))) % 0.42/0.59 (step @p75 :rule exists-elim :args ((= @t42 (not (forall @t41 (not @t40)))))) % 0.42/0.59 (step @p76 :rule refl :args (@t30)) % 0.42/0.59 (step @p77 :rule cong :premises (@p76 @p75) :args (@t43)) % 0.42/0.59 (step @p78 :rule cong :premises (@p77) :args (@t44)) % 0.42/0.59 (step @p79 :rule eq_resolve :premises (@p22 @p78)) % 0.42/0.59 (step @p80 :rule instantiate :premises (@p79) :args (@t95)) % 0.42/0.59 (step @p81 :rule bool-impl-elim :args (@t31 @t30)) % 0.42/0.59 (step @p82 :rule cong :premises (@p81) :args (@t32)) % 0.42/0.59 (step @p83 :rule 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:premises (@p66 @p216) :args ((or @t89 (not @t88)))) % 0.42/0.60 (step @p218 :rule cnf_or_neg :args (@t89 0)) % 0.42/0.60 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.42/0.60 (step @p220 :rule reordering :premises (@p219) :args ((or @t87 @t89))) % 0.42/0.60 (step @p221 :rule chain_m_resolution :premises (@p220 @p64) :args (@t87 @t90 @t91)) % 0.42/0.60 (step @p222 :rule cnf_or_pos :args (@t165)) % 0.42/0.60 (step @p223 :rule reordering :premises (@p222) :args ((or @t88 @t164 @t142 @t163 (not @t165)))) % 0.42/0.60 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p215 @p154 @p208) :args (@t163 @t144 (@list @t87 @t161 @t141 @t165))) % 0.42/0.60 (step @p225 :rule trans :premises (@p224 @p182)) % 0.42/0.60 (step @p226 :rule cong :premises (@p225 @p117) :args (@t166)) % 0.42/0.60 (step @p227 :rule trans :premises (@p226 @p116)) % 0.42/0.60 (step @p228 :rule true_elim :premises (@p227)) % 0.42/0.60 (assume-push @p237 @t92) % 0.42/0.60 (step @p230 :rule instantiate :premises (@p74) :args ((@list @t107))) % 0.42/0.60 (step-pop @p238 :rule scope :premises (@p230)) % 0.42/0.60 (step @p231 :rule process_scope :premises (@p238) :args ((not @t166))) % 0.42/0.60 (step @p233 :rule implies_elim :premises (@p231)) % 0.42/0.60 (step @p234 false :rule chain_m_resolution :premises (@p233 @p228 @p74) :args (false @t81 (@list @t166 @t92))) % 0.42/0.60 ) % 0.42/0.60 % SZS output end Proof % 0.42/0.60 % cvc5 exiting %------------------------------------------------------------------------------