%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS156+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 : n027.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 08:29:02 AM UTC 2026 % Result : Theorem 0.35s 0.61s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : KRS156+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.32 % Computer : n027.cluster.edu % 0.14/0.32 % Model : x86_64 x86_64 % 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.32 % Memory : 8042.1875MB % 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.32 % CPULimit : 300 % 0.14/0.32 % WCLimit : 300 % 0.14/0.32 % DateTime : Tue Jun 2 05:28:21 EDT 2026 % 0.14/0.32 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.61 % SZS status Theorem % 0.35/0.61 % SZS output start Proof % 0.35/0.61 ( % 0.35/0.61 (declare-sort $$unsorted 0) % 0.35/0.61 (declare-const tptp.iV5478 $$unsorted) % 0.35/0.61 (declare-const tptp.iV5476 $$unsorted) % 0.35/0.61 (declare-const tptp.iV5475 $$unsorted) % 0.35/0.61 (declare-const tptp.cTEST (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC98 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC96 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC92 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC90 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC134 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC98xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC130 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC74 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC136 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cTOP (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px40 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC52 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC124 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC122 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px32 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC60xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC12 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC88 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC16 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC118 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC116 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC114xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC54 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC112xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px41 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px34 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px47 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px15 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC28 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC106xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC100 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC30 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px18 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC32 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC110xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC24xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC118xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC10 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px43 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC78 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC112 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC94 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px50 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC84 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC20xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC108xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC102 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px30 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC56 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC2 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC64 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC62 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC68 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC106 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC8xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC132 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC48 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px31 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC132xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC10xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC114 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC108 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC126 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC110 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC24 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC4 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC128 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC102xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px33 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC138 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC58 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC14 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px9 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px19 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC140 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC18 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px46 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC104 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC58xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px5 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px29 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC36 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px20 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC20 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC22 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px10 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC26xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC130xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC46 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px49 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px44 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC32xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px45 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC34 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC12xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC34xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC120 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px11 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC36xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC38 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC66 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC40 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC70 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC42 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC128xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC44 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC44xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC2xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC50 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC54xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC6 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC60 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px6 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC72 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC26 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC76 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC8 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC28xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px24 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC80 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC80xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC30xcomp (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC82 (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ra_Px36 (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cC86 (-> $$unsorted Bool)) % 0.35/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.35/0.61 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.35/0.61 (define @t3 () (tptp.cowlThing @t1)) % 0.35/0.61 (define @t4 () (@list @t1)) % 0.35/0.61 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.35/0.61 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.35/0.61 (define @t7 () (@var "Y0" $$unsorted)) % 0.35/0.61 (define @t8 () (@list @t7)) % 0.35/0.61 (define @t9 () (tptp.cC10 @t1)) % 0.35/0.61 (define @t10 () (tptp.cC8xcomp @t1)) % 0.35/0.61 (define @t11 () (tptp.cC2xcomp @t1)) % 0.35/0.61 (define @t12 () (@var "Y" $$unsorted)) % 0.35/0.61 (define @t13 () (@list @t12)) % 0.35/0.61 (define @t14 () (tptp.cC10xcomp @t1)) % 0.35/0.61 (define @t15 () (tptp.cC94 @t1)) % 0.35/0.61 (define @t16 () (tptp.cC98xcomp @t1)) % 0.35/0.61 (define @t17 () (tptp.rR1 @t1 @t12)) % 0.35/0.61 (define @t18 () (tptp.cC102 @t1)) % 0.35/0.61 (define @t19 () (tptp.cC102xcomp @t1)) % 0.35/0.61 (define @t20 () (tptp.cC88 @t1)) % 0.35/0.61 (define @t21 () (tptp.cC106 @t1)) % 0.35/0.61 (define @t22 () (tptp.cC106xcomp @t1)) % 0.35/0.61 (define @t23 () (tptp.cC108 @t1)) % 0.35/0.61 (define @t24 () (tptp.cC84 @t1)) % 0.35/0.61 (define @t25 () (tptp.cC108xcomp @t1)) % 0.35/0.61 (define @t26 () (tptp.cC62 @t1)) % 0.35/0.61 (define @t27 () (tptp.cC110 @t1)) % 0.35/0.61 (define @t28 () (tptp.cC112 @t1)) % 0.35/0.61 (define @t29 () (tptp.cC112xcomp @t1)) % 0.35/0.61 (define @t30 () (tptp.cC114 @t1)) % 0.35/0.61 (define @t31 () (tptp.cC114xcomp @t1)) % 0.35/0.61 (define @t32 () (tptp.cTOP @t1)) % 0.35/0.61 (define @t33 () (tptp.cC116 @t1)) % 0.35/0.61 (define @t34 () (exists @t13 (and @t17 (tptp.cC2xcomp @t12)))) % 0.35/0.61 (define @t35 () (tptp.cC118 @t1)) % 0.35/0.61 (define @t36 () (tptp.cC12 @t1)) % 0.35/0.61 (define @t37 () (tptp.cC120 @t1)) % 0.35/0.61 (define @t38 () (tptp.cC122 @t1)) % 0.35/0.61 (define @t39 () (tptp.cC124 @t1)) % 0.35/0.61 (define @t40 () (tptp.cC2 @t1)) % 0.35/0.61 (define @t41 () (tptp.cC128 @t1)) % 0.35/0.61 (define @t42 () (tptp.cC128xcomp @t1)) % 0.35/0.61 (define @t43 () (tptp.cC130 @t1)) % 0.35/0.61 (define @t44 () (tptp.cC132 @t1)) % 0.35/0.61 (define @t45 () (tptp.cC132xcomp @t1)) % 0.35/0.61 (define @t46 () (tptp.cC138 @t1)) % 0.35/0.61 (define @t47 () (tptp.cC14 @t1)) % 0.35/0.61 (define @t48 () (tptp.cC140 @t1)) % 0.35/0.61 (define @t49 () (tptp.cC16 @t1)) % 0.35/0.61 (define @t50 () (tptp.cC20 @t1)) % 0.35/0.61 (define @t51 () (tptp.cC20xcomp @t1)) % 0.35/0.61 (define @t52 () (tptp.cC24 @t1)) % 0.35/0.61 (define @t53 () (tptp.cC24xcomp @t1)) % 0.35/0.61 (define @t54 () (tptp.cC26 @t1)) % 0.35/0.61 (define @t55 () (tptp.cC26xcomp @t1)) % 0.35/0.61 (define @t56 () (tptp.cC28 @t1)) % 0.35/0.61 (define @t57 () (tptp.cC28xcomp @t1)) % 0.35/0.61 (define @t58 () (tptp.cC30 @t1)) % 0.35/0.61 (define @t59 () (tptp.cC32 @t1)) % 0.35/0.61 (define @t60 () (tptp.cC32xcomp @t1)) % 0.35/0.61 (define @t61 () (tptp.cC34 @t1)) % 0.35/0.61 (define @t62 () (tptp.cC36 @t1)) % 0.35/0.61 (define @t63 () (tptp.cC36xcomp @t1)) % 0.35/0.61 (define @t64 () (tptp.cC38 @t1)) % 0.35/0.61 (define @t65 () (tptp.cC4 @t1)) % 0.35/0.61 (define @t66 () (tptp.cC40 @t1)) % 0.35/0.61 (define @t67 () (tptp.cC42 @t1)) % 0.35/0.61 (define @t68 () (tptp.cC44 @t1)) % 0.35/0.61 (define @t69 () (tptp.cC46 @t1)) % 0.35/0.61 (define @t70 () (tptp.cC48 @t1)) % 0.35/0.61 (define @t71 () (tptp.cC50 @t1)) % 0.35/0.61 (define @t72 () (tptp.cC54 @t1)) % 0.35/0.61 (define @t73 () (tptp.cC54xcomp @t1)) % 0.35/0.61 (define @t74 () (tptp.cC58 @t1)) % 0.35/0.61 (define @t75 () (tptp.cC58xcomp @t1)) % 0.35/0.61 (define @t76 () (tptp.cC60 @t1)) % 0.35/0.61 (define @t77 () (tptp.cC60xcomp @t1)) % 0.35/0.61 (define @t78 () (tptp.cC64 @t1)) % 0.35/0.61 (define @t79 () (tptp.cC66 @t1)) % 0.35/0.61 (define @t80 () (tptp.cC68 @t1)) % 0.35/0.61 (define @t81 () (tptp.cC72 @t1)) % 0.35/0.61 (define @t82 () (tptp.cC74 @t1)) % 0.35/0.61 (define @t83 () (tptp.cC76 @t1)) % 0.35/0.61 (define @t84 () (tptp.cC8 @t1)) % 0.35/0.61 (define @t85 () (tptp.cC80 @t1)) % 0.35/0.61 (define @t86 () (tptp.cC82 @t1)) % 0.35/0.61 (define @t87 () (tptp.cC86 @t1)) % 0.35/0.61 (define @t88 () (tptp.cC90 @t1)) % 0.35/0.61 (define @t89 () (tptp.cC96 @t1)) % 0.35/0.61 (define @t90 () (tptp.cC98 @t1)) % 0.35/0.61 (define @t91 () (tptp.cTOP tptp.iV5475)) % 0.35/0.61 (define @t92 () (tptp.cowlThing tptp.iV5475)) % 0.35/0.61 (define @t93 () (tptp.cC114xcomp tptp.iV5475)) % 0.35/0.61 (define @t94 () (tptp.cTEST tptp.iV5475)) % 0.35/0.61 (define @t95 () (tptp.rR1 tptp.iV5478 @t1)) % 0.35/0.61 (define @t96 () (tptp.cC138 tptp.iV5475)) % 0.35/0.61 (define @t97 () (tptp.cC140 tptp.iV5475)) % 0.35/0.61 (define @t98 () (tptp.cC116 tptp.iV5475)) % 0.35/0.61 (define @t99 () (and @t5 @t6 @t98 @t97 @t92 @t96)) % 0.35/0.61 (define @t100 () (not @t99)) % 0.35/0.61 (define @t101 () (@list tptp.iV5475)) % 0.35/0.61 (define @t102 () (and @t97 @t98)) % 0.35/0.61 (define @t103 () (= @t94 @t102)) % 0.35/0.61 (define @t104 () (@list false false)) % 0.35/0.61 (define @t105 () (and @t91 @t93)) % 0.35/0.61 (define @t106 () (= @t98 @t105)) % 0.35/0.61 (define @t107 () (forall @t4 @t2)) % 0.35/0.61 (define @t108 () (@list @t1)) % 0.35/0.61 (define @t109 () (@var "BOUND_VARIABLE_8191" $$unsorted)) % 0.35/0.61 (define @t110 () (forall @t4 @t3)) % 0.35/0.61 (define @t111 () (@var "BOUND_VARIABLE_8186" $$unsorted)) % 0.35/0.61 (define @t112 () (and @t110 @t107)) % 0.35/0.61 (define @t113 () (forall (@list @t109) (not (tptp.cowlNothing @t109)))) % 0.35/0.61 (define @t114 () (forall (@list @t111) (tptp.cowlThing @t111))) % 0.35/0.61 (define @t115 () (not @t96)) % 0.35/0.61 (define @t116 () (not @t97)) % 0.35/0.61 (define @t117 () (and @t91 @t96)) % 0.35/0.61 (define @t118 () (not @t117)) % 0.35/0.61 (define @t119 () (= @t97 @t117)) % 0.35/0.61 (assume @p1 @t5) % 0.35/0.61 (assume @p2 @t6) % 0.35/0.61 (assume @p3 (forall @t4 (= @t9 (exists @t8 (tptp.ra_Px50 @t1 @t7))))) % 0.35/0.61 (assume @p4 (forall @t4 (= @t9 (and @t11 @t10)))) % 0.35/0.61 (assume @p5 (forall @t4 (= @t14 (not (exists @t13 (tptp.ra_Px50 @t1 @t12)))))) % 0.35/0.61 (assume @p6 (forall @t4 (= (tptp.cC100 @t1) (and @t16 @t15)))) % 0.35/0.61 (assume @p7 (forall @t4 (= @t18 (exists @t13 (and @t17 (tptp.cC100 @t12)))))) % 0.35/0.61 (assume @p8 (forall @t4 (= @t18 (exists @t8 (tptp.ra_Px30 @t1 @t7))))) % 0.35/0.61 (assume @p9 (forall @t4 (= @t19 (not (exists @t13 (tptp.ra_Px30 @t1 @t12)))))) % 0.35/0.61 (assume @p10 (forall @t4 (= (tptp.cC104 @t1) (and @t19 @t20)))) % 0.35/0.61 (assume @p11 (forall @t4 (= @t21 (exists @t13 (and @t17 (tptp.cC104 @t12)))))) % 0.35/0.61 (assume @p12 (forall @t4 (= @t21 (not (exists @t13 (tptp.ra_Px31 @t1 @t12)))))) % 0.35/0.61 (assume @p13 (forall @t4 (= @t22 (exists @t8 (tptp.ra_Px31 @t1 @t7))))) % 0.35/0.61 (assume @p14 (forall @t4 (= @t23 (exists @t8 (tptp.ra_Px32 @t1 @t7))))) % 0.35/0.61 (assume @p15 (forall @t4 (= @t23 (and @t24 @t22)))) % 0.35/0.61 (assume @p16 (forall @t4 (= @t25 (not (exists @t13 (tptp.ra_Px32 @t1 @t12)))))) % 0.35/0.61 (assume @p17 (forall @t4 (= @t27 (and @t26 @t25)))) % 0.35/0.61 (assume @p18 (forall @t4 (= @t27 (exists @t8 (tptp.ra_Px33 @t1 @t7))))) % 0.35/0.61 (assume @p19 (forall @t4 (= (tptp.cC110xcomp @t1) (not (exists @t13 (tptp.ra_Px33 @t1 @t12)))))) % 0.35/0.61 (assume @p20 (forall @t4 (= @t28 (not (exists @t13 (tptp.ra_Px43 @t1 @t12)))))) % 0.35/0.61 (assume @p21 (forall @t4 (= @t28 (exists @t13 (and @t17 (tptp.cC110xcomp @t12)))))) % 0.35/0.61 (assume @p22 (forall @t4 (= @t29 (exists @t8 (tptp.ra_Px43 @t1 @t7))))) % 0.35/0.61 (assume @p23 (forall @t4 (= @t30 (not (exists @t13 (tptp.ra_Px34 @t1 @t12)))))) % 0.35/0.61 (assume @p24 (forall @t4 (= @t30 (exists @t13 (and @t17 (tptp.cC112 @t12)))))) % 0.35/0.61 (assume @p25 (forall @t4 (= @t31 (exists @t8 (tptp.ra_Px34 @t1 @t7))))) % 0.35/0.61 (assume @p26 (forall @t4 (= @t33 (and @t32 @t31)))) % 0.35/0.61 (assume @p27 (forall @t4 (= @t35 @t34))) % 0.35/0.61 (assume @p28 (forall @t4 (= @t35 (exists @t8 (tptp.ra_Px36 @t1 @t7))))) % 0.35/0.61 (assume @p29 (forall @t4 (= (tptp.cC118xcomp @t1) (not (exists @t13 (tptp.ra_Px36 @t1 @t12)))))) % 0.35/0.61 (assume @p30 (forall @t4 (= @t36 (exists @t8 (tptp.ra_Px45 @t1 @t7))))) % 0.35/0.61 (assume @p31 (forall @t4 (= @t36 (exists @t13 (and @t17 (tptp.cC10 @t12)))))) % 0.35/0.61 (assume @p32 (forall @t4 (= (tptp.cC12xcomp @t1) (not (exists @t13 (tptp.ra_Px45 @t1 @t12)))))) % 0.35/0.61 (assume @p33 (forall @t4 (= @t37 (exists @t13 (and @t17 (tptp.cC118xcomp @t12)))))) % 0.35/0.61 (assume @p34 (forall @t4 (= @t38 (and @t11 @t37)))) % 0.35/0.61 (assume @p35 (forall @t4 (= @t39 @t34))) % 0.35/0.61 (assume @p36 (forall @t4 (= (tptp.cC126 @t1) (and @t40 @t39)))) % 0.35/0.61 (assume @p37 (forall @t4 (= @t41 (not (exists @t13 (tptp.ra_Px40 @t1 @t12)))))) % 0.35/0.61 (assume @p38 (forall @t4 (= @t41 (exists @t13 (and @t17 (tptp.cC126 @t12)))))) % 0.35/0.61 (assume @p39 (forall @t4 (= @t42 (exists @t8 (tptp.ra_Px40 @t1 @t7))))) % 0.35/0.61 (assume @p40 (forall @t4 (= @t43 (exists @t8 (tptp.ra_Px47 @t1 @t7))))) % 0.35/0.61 (assume @p41 (forall @t4 (= @t43 (and @t11 @t42)))) % 0.35/0.61 (assume @p42 (forall @t4 (= (tptp.cC130xcomp @t1) (not (exists @t13 (tptp.ra_Px47 @t1 @t12)))))) % 0.35/0.61 (assume @p43 (forall @t4 (= @t44 (exists @t8 (tptp.ra_Px41 @t1 @t7))))) % 0.35/0.61 (assume @p44 (forall @t4 (= @t44 (exists @t13 (and @t17 (tptp.cC130 @t12)))))) % 0.35/0.61 (assume @p45 (forall @t4 (= @t45 (not (exists @t13 (tptp.ra_Px41 @t1 @t12)))))) % 0.35/0.61 (assume @p46 (forall @t4 (= (tptp.cC134 @t1) (and @t45 @t38)))) % 0.35/0.61 (assume @p47 (forall @t4 (= (tptp.cC136 @t1) (exists @t13 (and @t17 (tptp.cC134 @t12)))))) % 0.35/0.61 (assume @p48 (forall @t4 (= @t46 (exists @t13 (and @t17 (tptp.cC136 @t12)))))) % 0.35/0.61 (assume @p49 (forall @t4 (= @t47 (exists @t13 (and @t17 (tptp.cC12 @t12)))))) % 0.35/0.61 (assume @p50 (forall @t4 (= @t48 (and @t32 @t46)))) % 0.35/0.61 (assume @p51 (forall @t4 (= @t49 @t34))) % 0.35/0.61 (assume @p52 (forall @t4 (= (tptp.cC18 @t1) (and @t49 @t40)))) % 0.35/0.61 (assume @p53 (forall @t4 (= @t40 (not (exists @t13 (tptp.ra_Px1 @t1 @t12)))))) % 0.35/0.61 (assume @p54 (forall @t4 (= @t11 (exists @t8 (tptp.ra_Px1 @t1 @t7))))) % 0.35/0.61 (assume @p55 (forall @t4 (= @t50 (exists @t8 (tptp.ra_Px5 @t1 @t7))))) % 0.35/0.61 (assume @p56 (forall @t4 (= @t50 (exists @t13 (and @t17 (tptp.cC18 @t12)))))) % 0.35/0.61 (assume @p57 (forall @t4 (= @t51 (not (exists @t13 (tptp.ra_Px5 @t1 @t12)))))) % 0.35/0.61 (assume @p58 (forall @t4 (= (tptp.cC22 @t1) (and @t11 @t51)))) % 0.35/0.61 (assume @p59 (forall @t4 (= @t52 (exists @t13 (and @t17 (tptp.cC22 @t12)))))) % 0.35/0.61 (assume @p60 (forall @t4 (= @t52 (exists @t8 (tptp.ra_Px6 @t1 @t7))))) % 0.35/0.61 (assume @p61 (forall @t4 (= @t53 (not (exists @t13 (tptp.ra_Px6 @t1 @t12)))))) % 0.35/0.61 (assume @p62 (forall @t4 (= @t54 (and @t47 @t53)))) % 0.35/0.61 (assume @p63 (forall @t4 (= @t54 (not (exists @t13 (tptp.ra_Px10 @t1 @t12)))))) % 0.35/0.61 (assume @p64 (forall @t4 (= @t55 (exists @t8 (tptp.ra_Px10 @t1 @t7))))) % 0.35/0.61 (assume @p65 (forall @t4 (= @t56 @t34))) % 0.35/0.61 (assume @p66 (forall @t4 (= @t56 (not (exists @t13 (tptp.ra_Px49 @t1 @t12)))))) % 0.35/0.61 (assume @p67 (forall @t4 (= @t57 (exists @t8 (tptp.ra_Px49 @t1 @t7))))) % 0.35/0.61 (assume @p68 (forall @t4 (= @t58 (exists @t13 (and @t17 (tptp.cC28 @t12)))))) % 0.35/0.61 (assume @p69 (forall @t4 (= @t58 (exists @t8 (tptp.ra_Px44 @t1 @t7))))) % 0.35/0.61 (assume @p70 (forall @t4 (= (tptp.cC30xcomp @t1) (not (exists @t13 (tptp.ra_Px44 @t1 @t12)))))) % 0.35/0.61 (assume @p71 (forall @t4 (= @t59 (exists @t8 (tptp.ra_Px9 @t1 @t7))))) % 0.35/0.61 (assume @p72 (forall @t4 (= @t59 @t34))) % 0.35/0.61 (assume @p73 (forall @t4 (= @t60 (not (exists @t13 (tptp.ra_Px9 @t1 @t12)))))) % 0.35/0.61 (assume @p74 (forall @t4 (= @t61 (not (exists @t13 (tptp.ra_Px46 @t1 @t12)))))) % 0.35/0.61 (assume @p75 (forall @t4 (= @t61 (and @t60 @t58)))) % 0.35/0.61 (assume @p76 (forall @t4 (= (tptp.cC34xcomp @t1) (exists @t8 (tptp.ra_Px46 @t1 @t7))))) % 0.35/0.61 (assume @p77 (forall @t4 (= @t62 (exists @t8 (tptp.ra_Px11 @t1 @t7))))) % 0.35/0.61 (assume @p78 (forall @t4 (= @t62 (exists @t13 (and @t17 (tptp.cC34 @t12)))))) % 0.35/0.61 (assume @p79 (forall @t4 (= @t63 (not (exists @t13 (tptp.ra_Px11 @t1 @t12)))))) % 0.35/0.61 (assume @p80 (forall @t4 (= @t64 (and @t55 @t63)))) % 0.35/0.61 (assume @p81 (forall @t4 (= @t65 @t34))) % 0.35/0.61 (assume @p82 (forall @t4 (= @t66 @t34))) % 0.35/0.61 (assume @p83 (forall @t4 (= @t67 (and @t11 @t66)))) % 0.35/0.61 (assume @p84 (forall @t4 (= @t68 @t34))) % 0.35/0.61 (assume @p85 (forall @t4 (= @t68 (exists @t8 (tptp.ra_Px15 @t1 @t7))))) % 0.35/0.61 (assume @p86 (forall @t4 (= (tptp.cC44xcomp @t1) (not (exists @t13 (tptp.ra_Px15 @t1 @t12)))))) % 0.35/0.61 (assume @p87 (forall @t4 (= @t69 (exists @t13 (and @t17 (tptp.cC44xcomp @t12)))))) % 0.35/0.61 (assume @p88 (forall @t4 (= @t70 (and @t67 @t69)))) % 0.35/0.61 (assume @p89 (forall @t4 (= @t71 @t34))) % 0.35/0.61 (assume @p90 (forall @t4 (= (tptp.cC52 @t1) (and @t40 @t71)))) % 0.35/0.61 (assume @p91 (forall @t4 (= @t72 (exists @t8 (tptp.ra_Px18 @t1 @t7))))) % 0.35/0.61 (assume @p92 (forall @t4 (= @t72 (exists @t13 (and @t17 (tptp.cC52 @t12)))))) % 0.35/0.61 (assume @p93 (forall @t4 (= @t73 (not (exists @t13 (tptp.ra_Px18 @t1 @t12)))))) % 0.35/0.61 (assume @p94 (forall @t4 (= (tptp.cC56 @t1) (and @t11 @t73)))) % 0.35/0.61 (assume @p95 (forall @t4 (= @t74 (exists @t13 (and @t17 (tptp.cC56 @t12)))))) % 0.35/0.61 (assume @p96 (forall @t4 (= @t74 (not (exists @t13 (tptp.ra_Px19 @t1 @t12)))))) % 0.35/0.61 (assume @p97 (forall @t4 (= @t75 (exists @t8 (tptp.ra_Px19 @t1 @t7))))) % 0.35/0.61 (assume @p98 (forall @t4 (= (tptp.cC6 @t1) (and @t40 @t65)))) % 0.35/0.61 (assume @p99 (forall @t4 (= @t76 (and @t70 @t75)))) % 0.35/0.61 (assume @p100 (forall @t4 (= @t76 (exists @t8 (tptp.ra_Px20 @t1 @t7))))) % 0.35/0.61 (assume @p101 (forall @t4 (= @t77 (not (exists @t13 (tptp.ra_Px20 @t1 @t12)))))) % 0.35/0.61 (assume @p102 (forall @t4 (= @t26 (and @t64 @t77)))) % 0.35/0.61 (assume @p103 (forall @t4 (= @t78 @t34))) % 0.35/0.61 (assume @p104 (forall @t4 (= @t79 (and @t78 @t40)))) % 0.35/0.61 (assume @p105 (forall @t4 (= @t80 @t34))) % 0.35/0.61 (assume @p106 (forall @t4 (= (tptp.cC70 @t1) (and @t40 @t80)))) % 0.35/0.61 (assume @p107 (forall @t4 (= @t81 (exists @t13 (and @t17 (tptp.cC70 @t12)))))) % 0.35/0.61 (assume @p108 (forall @t4 (= @t82 (and @t79 @t81)))) % 0.35/0.61 (assume @p109 (forall @t4 (= @t83 @t34))) % 0.35/0.61 (assume @p110 (forall @t4 (= (tptp.cC78 @t1) (and @t40 @t83)))) % 0.35/0.61 (assume @p111 (forall @t4 (= @t84 (exists @t13 (and @t17 (tptp.cC6 @t12)))))) % 0.35/0.61 (assume @p112 (forall @t4 (= @t84 (exists @t8 (tptp.ra_Px2 @t1 @t7))))) % 0.35/0.61 (assume @p113 (forall @t4 (= @t10 (not (exists @t13 (tptp.ra_Px2 @t1 @t12)))))) % 0.35/0.61 (assume @p114 (forall @t4 (= @t85 (exists @t8 (tptp.ra_Px24 @t1 @t7))))) % 0.35/0.61 (assume @p115 (forall @t4 (= @t85 (exists @t13 (and @t17 (tptp.cC78 @t12)))))) % 0.35/0.61 (assume @p116 (forall @t4 (= (tptp.cC80xcomp @t1) (not (exists @t13 (tptp.ra_Px24 @t1 @t12)))))) % 0.35/0.61 (assume @p117 (forall @t4 (= @t86 (exists @t13 (and @t17 (tptp.cC80xcomp @t12)))))) % 0.35/0.61 (assume @p118 (forall @t4 (= @t24 (and @t86 @t82)))) % 0.35/0.61 (assume @p119 (forall @t4 (= @t87 @t34))) % 0.35/0.61 (assume @p120 (forall @t4 (= @t20 (and @t87 @t40)))) % 0.35/0.61 (assume @p121 (forall @t4 (= @t88 @t34))) % 0.35/0.61 (assume @p122 (forall @t4 (= (tptp.cC92 @t1) (and @t40 @t88)))) % 0.35/0.61 (assume @p123 (forall @t4 (= @t15 (exists @t13 (and @t17 (tptp.cC92 @t12)))))) % 0.35/0.61 (assume @p124 (forall @t4 (= @t89 @t34))) % 0.35/0.61 (assume @p125 (forall @t4 (= @t90 (and @t40 @t89)))) % 0.35/0.61 (assume @p126 (forall @t4 (= @t90 (exists @t8 (tptp.ra_Px29 @t1 @t7))))) % 0.35/0.61 (assume @p127 (forall @t4 (= @t16 (not (exists @t13 (tptp.ra_Px29 @t1 @t12)))))) % 0.35/0.61 (assume @p128 (forall @t4 (= (tptp.cTEST @t1) (and @t48 @t33)))) % 0.35/0.61 (assume @p129 @t91) % 0.35/0.61 (assume @p130 @t92) % 0.35/0.61 (assume @p131 @t93) % 0.35/0.61 (assume @p132 @t94) % 0.35/0.61 (assume @p133 (forall @t4 (=> (tptp.rR1 tptp.iV5475 @t1) @t29))) % 0.35/0.61 (assume @p134 (tptp.rR1 tptp.iV5475 tptp.iV5476)) % 0.35/0.61 (assume @p135 (tptp.cowlThing tptp.iV5476)) % 0.35/0.61 (assume @p136 (tptp.cC12xcomp tptp.iV5478)) % 0.35/0.61 (assume @p137 (tptp.cC30xcomp tptp.iV5478)) % 0.35/0.61 (assume @p138 (tptp.cC2 tptp.iV5478)) % 0.35/0.61 (assume @p139 (tptp.cowlThing tptp.iV5478)) % 0.35/0.61 (assume @p140 (tptp.cC118xcomp tptp.iV5478)) % 0.35/0.61 (assume @p141 (forall @t4 (=> @t95 @t40))) % 0.35/0.61 (assume @p142 (tptp.cC130xcomp tptp.iV5478)) % 0.35/0.61 (assume @p143 (tptp.cC34xcomp tptp.iV5478)) % 0.35/0.61 (assume @p144 (forall @t4 (=> @t95 @t14))) % 0.35/0.61 (assume @p145 (forall @t4 (=> @t95 @t57))) % 0.35/0.61 (assume @p146 @t100) % 0.35/0.61 (assume @p147 true) % 0.35/0.61 (step @p148 :rule instantiate :premises (@p128) :args (@t101)) % 0.35/0.61 (step @p149 :rule cnf_equiv_pos1 :args (@t103)) % 0.35/0.61 (step @p150 :rule reordering :premises (@p149) :args ((or (not @t94) @t102 (not @t103)))) % 0.35/0.61 (step @p151 :rule chain_m_resolution :premises (@p150 @p132 @p148) :args (@t102 @t104 (@list @t94 @t103))) % 0.35/0.61 (step @p152 :rule cnf_and_pos :args (@t102 0)) % 0.35/0.61 (step @p153 :rule reordering :premises (@p152) :args ((or @t97 (not @t102)))) % 0.35/0.61 (step @p154 :rule chain_m_resolution :premises (@p153 @p151) :args (@t97 (@list false) (@list @t102))) % 0.35/0.61 (step @p155 :rule instantiate :premises (@p26) :args (@t101)) % 0.35/0.61 (step @p156 :rule cnf_and_neg :args (@t105)) % 0.35/0.61 (step @p157 :rule reordering :premises (@p156) :args ((or (not @t91) (not @t93) @t105))) % 0.35/0.61 (step @p158 :rule chain_m_resolution :premises (@p157 @p129 @p131) :args (@t105 @t104 (@list @t91 @t93))) % 0.35/0.61 (step @p159 :rule cnf_equiv_pos2 :args (@t106)) % 0.35/0.61 (step @p160 :rule reordering :premises (@p159) :args ((or @t98 (not @t105) (not @t106)))) % 0.35/0.61 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p155) :args (@t98 @t104 (@list @t105 @t106))) % 0.35/0.61 (step @p162 :rule alpha_equiv :args (@t107 @t108 (@list @t109))) % 0.35/0.61 (step @p163 :rule alpha_equiv :args (@t110 @t108 (@list @t111))) % 0.35/0.61 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t112)) % 0.35/0.61 (step @p165 :rule quant-miniscope-and :args ((= @t5 @t112))) % 0.35/0.61 (step @p166 :rule trans :premises (@p165 @p164)) % 0.35/0.61 (step @p167 :rule eq_resolve :premises (@p1 @p166)) % 0.35/0.61 (step @p168 :rule and_elim :premises (@p167) :args (1)) % 0.35/0.61 (step @p169 :rule and_elim :premises (@p167) :args (0)) % 0.35/0.61 (step @p170 :rule aci_norm :args ((= (and (and @t114 @t113) @t6 @t98 @t97 @t92 @t96) (and @t6 @t98 @t97 @t92 @t96 @t114 @t113)))) % 0.35/0.61 (step @p171 :rule refl :args (@t96)) % 0.35/0.61 (step @p172 :rule refl :args (@t92)) % 0.35/0.61 (step @p173 :rule refl :args (@t97)) % 0.35/0.61 (step @p174 :rule refl :args (@t98)) % 0.35/0.61 (step @p175 :rule refl :args (@t6)) % 0.35/0.61 (step @p176 :rule nary_cong :premises (@p166 @p175 @p174 @p173 @p172 @p171) :args (@t99)) % 0.35/0.61 (step @p177 :rule trans :premises (@p176 @p170)) % 0.35/0.61 (step @p178 :rule cong :premises (@p177) :args (@t100)) % 0.35/0.61 (step @p179 :rule eq_resolve :premises (@p146 @p178)) % 0.35/0.61 (step @p180 :rule not_and :premises (@p179)) % 0.35/0.61 (step @p181 :rule reordering :premises (@p180) :args ((or (not @t114) (not @t113) (not @t6) (not @t92) (not @t98) @t116 @t115))) % 0.35/0.61 (step @p182 :rule chain_m_resolution :premises (@p181 @p169 @p168 @p2 @p130 @p161 @p154) :args (@t115 (@list false false false false false false) (@list @t114 @t113 @t6 @t92 @t98 @t97))) % 0.35/0.61 (step @p183 :rule cnf_and_pos :args (@t117 1)) % 0.35/0.61 (step @p184 :rule reordering :premises (@p183) :args ((or @t96 @t118))) % 0.35/0.61 (step @p185 :rule chain_m_resolution :premises (@p184 @p182) :args (@t118 (@list true) (@list @t96))) % 0.35/0.61 (step @p186 :rule instantiate :premises (@p50) :args (@t101)) % 0.35/0.61 (step @p187 :rule cnf_equiv_pos1 :args (@t119)) % 0.35/0.61 (step @p188 :rule reordering :premises (@p187) :args ((or @t116 @t117 (not @t119)))) % 0.35/0.61 (step @p189 false :rule chain_m_resolution :premises (@p188 @p186 @p185 @p154) :args (false (@list false true false) (@list @t119 @t117 @t97))) % 0.35/0.61 ) % 0.35/0.61 % SZS output end Proof % 0.35/0.61 % cvc5 exiting %------------------------------------------------------------------------------