%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM852+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:40:50 AM UTC 2026 % Result : Theorem 0.34s 0.62s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM852+1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:31:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.62 % SZS status Theorem % 0.34/0.62 % SZS output start Proof % 0.34/0.62 ( % 0.34/0.62 (declare-sort $$unsorted 0) % 0.34/0.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.34/0.62 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.34/0.62 (declare-const tptp.vskolem9 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.34/0.62 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.34/0.62 (declare-const tptp.vd481 $$unsorted) % 0.34/0.62 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.v1 $$unsorted) % 0.34/0.62 (declare-const tptp.vd480 $$unsorted) % 0.34/0.62 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.vd469 $$unsorted) % 0.34/0.62 (define @t1 () (tptp.vmul tptp.vd480 tptp.vd469)) % 0.34/0.62 (define @t2 () (tptp.vmul tptp.vd481 tptp.vd469)) % 0.34/0.62 (define @t3 () (tptp.greater @t2 @t1)) % 0.34/0.62 (define @t4 () (tptp.greater tptp.vd481 tptp.vd480)) % 0.34/0.62 (define @t5 () (@var "Vd477" $$unsorted)) % 0.34/0.62 (define @t6 () (@var "Vd476" $$unsorted)) % 0.34/0.62 (define @t7 () (@var "Vd471" $$unsorted)) % 0.34/0.62 (define @t8 () (tptp.vmul @t7 tptp.vd469)) % 0.34/0.62 (define @t9 () (@var "Vd470" $$unsorted)) % 0.34/0.62 (define @t10 () (tptp.vskolem9 @t9 @t7)) % 0.34/0.62 (define @t11 () (tptp.vplus @t8 (tptp.vmul @t10 tptp.vd469))) % 0.34/0.62 (define @t12 () (tptp.greater @t9 @t7)) % 0.34/0.62 (define @t13 () (@list @t9 @t7)) % 0.34/0.62 (define @t14 () (tptp.vplus @t7 @t10)) % 0.34/0.62 (define @t15 () (tptp.vmul @t14 tptp.vd469)) % 0.34/0.62 (define @t16 () (=> @t12 (= @t15 @t11))) % 0.34/0.62 (define @t17 () (forall @t13 @t16)) % 0.34/0.62 (define @t18 () (tptp.vmul @t9 tptp.vd469)) % 0.34/0.62 (define @t19 () (=> @t12 (= @t18 @t15))) % 0.34/0.62 (define @t20 () (forall @t13 @t19)) % 0.34/0.62 (define @t21 () (@var "Vd446" $$unsorted)) % 0.34/0.62 (define @t22 () (@var "Vd445" $$unsorted)) % 0.34/0.62 (define @t23 () (@var "Vd444" $$unsorted)) % 0.34/0.62 (define @t24 () (@var "Vd434" $$unsorted)) % 0.34/0.62 (define @t25 () (@var "Vd432" $$unsorted)) % 0.34/0.62 (define @t26 () (@var "Vd433" $$unsorted)) % 0.34/0.62 (define @t27 () (@var "Vd418" $$unsorted)) % 0.34/0.62 (define @t28 () (@var "Vd419" $$unsorted)) % 0.34/0.62 (define @t29 () (@var "Vd409" $$unsorted)) % 0.34/0.62 (define @t30 () (@var "Vd408" $$unsorted)) % 0.34/0.62 (define @t31 () (@var "Vd400" $$unsorted)) % 0.34/0.62 (define @t32 () (@var "Vd396" $$unsorted)) % 0.34/0.62 (define @t33 () (@var "Vd397" $$unsorted)) % 0.34/0.62 (define @t34 () (@var "Vd387" $$unsorted)) % 0.34/0.62 (define @t35 () (@var "Vd386" $$unsorted)) % 0.34/0.62 (define @t36 () (@var "Vd376" $$unsorted)) % 0.34/0.62 (define @t37 () (@var "Vd375" $$unsorted)) % 0.34/0.62 (define @t38 () (@var "Vd369" $$unsorted)) % 0.34/0.62 (define @t39 () (@var "Vd366" $$unsorted)) % 0.34/0.62 (define @t40 () (@var "Vd363" $$unsorted)) % 0.34/0.62 (define @t41 () (@var "Vd365" $$unsorted)) % 0.34/0.62 (define @t42 () (@var "Vd362" $$unsorted)) % 0.34/0.62 (define @t43 () (@var "Vd356" $$unsorted)) % 0.34/0.62 (define @t44 () (@var "Vd354" $$unsorted)) % 0.34/0.62 (define @t45 () (@var "Vd355" $$unsorted)) % 0.34/0.62 (define @t46 () (@var "Vd353" $$unsorted)) % 0.34/0.62 (define @t47 () (@var "Vd341" $$unsorted)) % 0.34/0.62 (define @t48 () (@var "Vd338" $$unsorted)) % 0.34/0.62 (define @t49 () (@var "Vd340" $$unsorted)) % 0.34/0.62 (define @t50 () (@var "Vd337" $$unsorted)) % 0.34/0.62 (define @t51 () (@var "Vd329" $$unsorted)) % 0.34/0.62 (define @t52 () (@var "Vd328" $$unsorted)) % 0.34/0.62 (define @t53 () (@var "Vd330" $$unsorted)) % 0.34/0.62 (define @t54 () (tptp.vplus @t51 @t53)) % 0.34/0.62 (define @t55 () (tptp.vplus @t52 @t53)) % 0.34/0.62 (define @t56 () (@list @t52 @t51 @t53)) % 0.34/0.62 (define @t57 () (@var "Vd303" $$unsorted)) % 0.34/0.62 (define @t58 () (@var "Vd302" $$unsorted)) % 0.34/0.62 (define @t59 () (tptp.vplus @t58 @t57)) % 0.34/0.62 (define @t60 () (@var "Vd301" $$unsorted)) % 0.34/0.62 (define @t61 () (tptp.vplus @t60 @t57)) % 0.34/0.62 (define @t62 () (@list @t60 @t58 @t57)) % 0.34/0.62 (define @t63 () (@var "Vd295" $$unsorted)) % 0.34/0.62 (define @t64 () (@var "Vd296" $$unsorted)) % 0.34/0.62 (define @t65 () (@var "Vd292" $$unsorted)) % 0.34/0.62 (define @t66 () (@var "Vd289" $$unsorted)) % 0.34/0.62 (define @t67 () (@var "Vd290" $$unsorted)) % 0.34/0.62 (define @t68 () (@var "Vd283" $$unsorted)) % 0.34/0.62 (define @t69 () (@var "Vd281" $$unsorted)) % 0.34/0.62 (define @t70 () (@var "Vd282" $$unsorted)) % 0.34/0.62 (define @t71 () (@var "Vd265" $$unsorted)) % 0.34/0.62 (define @t72 () (@var "Vd262" $$unsorted)) % 0.34/0.62 (define @t73 () (@var "Vd263" $$unsorted)) % 0.34/0.62 (define @t74 () (@var "Vd258" $$unsorted)) % 0.34/0.62 (define @t75 () (@var "Vd259" $$unsorted)) % 0.34/0.62 (define @t76 () (@var "Vd254" $$unsorted)) % 0.34/0.62 (define @t77 () (@var "Vd255" $$unsorted)) % 0.34/0.62 (define @t78 () (@var "Vd249" $$unsorted)) % 0.34/0.62 (define @t79 () (@var "Vd250" $$unsorted)) % 0.34/0.62 (define @t80 () (@var "Vd244" $$unsorted)) % 0.34/0.62 (define @t81 () (@var "Vd245" $$unsorted)) % 0.34/0.62 (define @t82 () (@var "Vd226" $$unsorted)) % 0.34/0.62 (define @t83 () (@var "Vd227" $$unsorted)) % 0.34/0.62 (define @t84 () (@var "Vd208" $$unsorted)) % 0.34/0.62 (define @t85 () (@var "Vd209" $$unsorted)) % 0.34/0.62 (define @t86 () (@var "Vd204" $$unsorted)) % 0.34/0.62 (define @t87 () (@var "Vd203" $$unsorted)) % 0.34/0.62 (define @t88 () (tptp.less @t87 @t86)) % 0.34/0.62 (define @t89 () (tptp.greater @t87 @t86)) % 0.34/0.62 (define @t90 () (= @t87 @t86)) % 0.34/0.62 (define @t91 () (@list @t87 @t86)) % 0.34/0.62 (define @t92 () (not @t88)) % 0.34/0.62 (define @t93 () (not @t90)) % 0.34/0.62 (define @t94 () (not @t89)) % 0.34/0.62 (define @t95 () (@var "Vd201" $$unsorted)) % 0.34/0.62 (define @t96 () (@var "Vd199" $$unsorted)) % 0.34/0.62 (define @t97 () (@var "Vd198" $$unsorted)) % 0.34/0.62 (define @t98 () (@var "Vd196" $$unsorted)) % 0.34/0.62 (define @t99 () (@var "Vd193" $$unsorted)) % 0.34/0.62 (define @t100 () (@var "Vd194" $$unsorted)) % 0.34/0.62 (define @t101 () (= @t100 (tptp.vplus @t99 @t98))) % 0.34/0.62 (define @t102 () (@list @t98)) % 0.34/0.62 (define @t103 () (exists @t102 @t101)) % 0.34/0.62 (define @t104 () (tptp.greater @t100 @t99)) % 0.34/0.62 (define @t105 () (= @t104 @t103)) % 0.34/0.62 (define @t106 () (forall (@list @t99 @t100) @t105)) % 0.34/0.62 (define @t107 () (@var "Vd125" $$unsorted)) % 0.34/0.62 (define @t108 () (@var "Vd120" $$unsorted)) % 0.34/0.62 (define @t109 () (@var "Vd121" $$unsorted)) % 0.34/0.62 (define @t110 () (exists (@list @t107) (= @t109 (tptp.vplus @t108 @t107)))) % 0.34/0.62 (define @t111 () (@var "Vd123" $$unsorted)) % 0.34/0.62 (define @t112 () (exists (@list @t111) (= @t108 (tptp.vplus @t109 @t111)))) % 0.34/0.62 (define @t113 () (= @t108 @t109)) % 0.34/0.62 (define @t114 () (@list @t108 @t109)) % 0.34/0.62 (define @t115 () (not @t110)) % 0.34/0.62 (define @t116 () (not @t113)) % 0.34/0.62 (define @t117 () (not @t112)) % 0.34/0.62 (define @t118 () (@var "Vd105" $$unsorted)) % 0.34/0.62 (define @t119 () (@var "Vd107" $$unsorted)) % 0.34/0.62 (define @t120 () (@var "Vd104" $$unsorted)) % 0.34/0.62 (define @t121 () (@var "Vd93" $$unsorted)) % 0.34/0.62 (define @t122 () (@var "Vd92" $$unsorted)) % 0.34/0.62 (define @t123 () (@var "Vd79" $$unsorted)) % 0.34/0.62 (define @t124 () (@var "Vd78" $$unsorted)) % 0.34/0.62 (define @t125 () (@var "Vd69" $$unsorted)) % 0.34/0.62 (define @t126 () (@var "Vd68" $$unsorted)) % 0.34/0.62 (define @t127 () (@var "Vd59" $$unsorted)) % 0.34/0.62 (define @t128 () (@var "Vd48" $$unsorted)) % 0.34/0.62 (define @t129 () (@var "Vd47" $$unsorted)) % 0.34/0.62 (define @t130 () (@var "Vd46" $$unsorted)) % 0.34/0.62 (define @t131 () (@var "Vd42" $$unsorted)) % 0.34/0.62 (define @t132 () (@var "Vd43" $$unsorted)) % 0.34/0.62 (define @t133 () (@var "Vd24" $$unsorted)) % 0.34/0.62 (define @t134 () (@var "Vd16" $$unsorted)) % 0.34/0.62 (define @t135 () (@var "Vd8" $$unsorted)) % 0.34/0.62 (define @t136 () (@var "Vd7" $$unsorted)) % 0.34/0.62 (define @t137 () (@var "Vd4" $$unsorted)) % 0.34/0.62 (define @t138 () (@var "Vd3" $$unsorted)) % 0.34/0.62 (define @t139 () (@var "Vd1" $$unsorted)) % 0.34/0.62 (define @t140 () (forall @t102 (not (= @t2 (tptp.vplus @t1 @t98))))) % 0.34/0.62 (define @t141 () (not @t140)) % 0.34/0.62 (define @t142 () (= @t3 @t141)) % 0.34/0.62 (define @t143 () (not @t142)) % 0.34/0.62 (define @t144 () (tptp.vskolem9 tptp.vd481 tptp.vd480)) % 0.34/0.62 (define @t145 () (tptp.vmul @t144 tptp.vd469)) % 0.34/0.62 (define @t146 () (= @t11 @t15)) % 0.34/0.62 (define @t147 () (@list tptp.vd481 tptp.vd480)) % 0.34/0.62 (define @t148 () (tptp.vmul (tptp.vplus tptp.vd480 @t144) tptp.vd469)) % 0.34/0.62 (define @t149 () (= (tptp.vplus @t1 @t145) @t148)) % 0.34/0.62 (define @t150 () (not @t4)) % 0.34/0.62 (define @t151 () (or @t150 @t149)) % 0.34/0.62 (define @t152 () (@list false false)) % 0.34/0.62 (define @t153 () (= @t15 @t18)) % 0.34/0.62 (define @t154 () (or @t150 (= @t148 @t2))) % 0.34/0.62 (define @t155 () (forall @t13 (or (not @t12) @t153))) % 0.34/0.62 (define @t156 () (= @t2 @t148)) % 0.34/0.62 (define @t157 () (or @t150 @t156)) % 0.34/0.62 (assume @p1 (not @t3)) % 0.34/0.62 (assume @p2 @t4) % 0.34/0.62 (assume @p3 (tptp.less tptp.vd480 tptp.vd481)) % 0.34/0.62 (assume @p4 (forall (@list @t6 @t5) (=> (= @t6 @t5) (= (tptp.vmul @t6 tptp.vd469) (tptp.vmul @t5 tptp.vd469))))) % 0.34/0.62 (assume @p5 (forall @t13 (=> @t12 (tptp.greater @t11 @t8)))) % 0.34/0.62 (assume @p6 @t17) % 0.34/0.62 (assume @p7 @t20) % 0.34/0.62 (assume @p8 (forall @t13 (=> @t12 (= @t9 @t14)))) % 0.34/0.62 (assume @p9 (forall (@list @t23 @t22 @t21) (= (tptp.vmul (tptp.vmul @t23 @t22) @t21) (tptp.vmul @t23 (tptp.vmul @t22 @t21))))) % 0.34/0.62 (assume @p10 (forall (@list @t25 @t26 @t24) (= (tptp.vmul @t25 (tptp.vplus @t26 @t24)) (tptp.vplus (tptp.vmul @t25 @t26) (tptp.vmul @t25 @t24))))) % 0.34/0.62 (assume @p11 (forall (@list @t27 @t28) (= (tptp.vmul @t27 @t28) (tptp.vmul @t28 @t27)))) % 0.34/0.62 (assume @p12 (forall (@list @t30 @t29) (= (tptp.vmul (tptp.vsucc @t30) @t29) (tptp.vplus (tptp.vmul @t30 @t29) @t29)))) % 0.34/0.62 (assume @p13 (forall (@list @t31) (= (tptp.vmul tptp.v1 @t31) @t31))) % 0.34/0.62 (assume @p14 (forall (@list @t32 @t33) (and (= (tptp.vmul @t32 (tptp.vsucc @t33)) (tptp.vplus (tptp.vmul @t32 @t33) @t32)) (= (tptp.vmul @t32 tptp.v1) @t32)))) % 0.34/0.62 (assume @p15 (forall (@list @t35 @t34) (=> (tptp.less @t35 (tptp.vplus @t34 tptp.v1)) (tptp.leq @t35 @t34)))) % 0.34/0.62 (assume @p16 (forall (@list @t37 @t36) (=> (tptp.greater @t37 @t36) (tptp.geq @t37 (tptp.vplus @t36 tptp.v1))))) % 0.34/0.62 (assume @p17 (forall (@list @t38) (tptp.geq @t38 tptp.v1))) % 0.34/0.62 (assume @p18 (forall (@list @t42 @t40 @t41 @t39) (=> (and (tptp.geq @t41 @t39) (tptp.geq @t42 @t40)) (tptp.geq (tptp.vplus @t42 @t41) (tptp.vplus @t40 @t39))))) % 0.34/0.62 (assume @p19 (forall (@list @t46 @t44 @t45 @t43) (=> (or (and (tptp.greater @t45 @t43) (tptp.geq @t46 @t44)) (and (tptp.geq @t45 @t43) (tptp.greater @t46 @t44))) (tptp.greater (tptp.vplus @t46 @t45) (tptp.vplus @t44 @t43))))) % 0.34/0.62 (assume @p20 (forall (@list @t50 @t48 @t49 @t47) (=> (and (tptp.greater @t49 @t47) (tptp.greater @t50 @t48)) (tptp.greater (tptp.vplus @t50 @t49) (tptp.vplus @t48 @t47))))) % 0.34/0.62 (assume @p21 (forall @t56 (=> (tptp.less @t55 @t54) (tptp.less @t52 @t51)))) % 0.34/0.62 (assume @p22 (forall @t56 (=> (= @t55 @t54) (= @t52 @t51)))) % 0.34/0.62 (assume @p23 (forall @t56 (=> (tptp.greater @t55 @t54) (tptp.greater @t52 @t51)))) % 0.34/0.62 (assume @p24 (forall @t62 (=> (tptp.less @t60 @t58) (tptp.less @t61 @t59)))) % 0.34/0.62 (assume @p25 (forall @t62 (=> (= @t60 @t58) (= @t61 @t59)))) % 0.34/0.62 (assume @p26 (forall @t62 (=> (tptp.greater @t60 @t58) (tptp.greater @t61 @t59)))) % 0.34/0.62 (assume @p27 (forall (@list @t63 @t64) (tptp.greater (tptp.vplus @t63 @t64) @t63))) % 0.34/0.62 (assume @p28 (forall (@list @t66 @t67 @t65) (=> (and (tptp.leq @t67 @t65) (tptp.leq @t66 @t67)) (tptp.leq @t66 @t65)))) % 0.34/0.62 (assume @p29 (forall (@list @t69 @t70 @t68) (=> (or (and (tptp.less @t70 @t68) (tptp.leq @t69 @t70)) (and (tptp.leq @t70 @t68) (tptp.less @t69 @t70))) (tptp.less @t69 @t68)))) % 0.34/0.62 (assume @p30 (forall (@list @t72 @t73 @t71) (=> (and (tptp.less @t73 @t71) (tptp.less @t72 @t73)) (tptp.less @t72 @t71)))) % 0.34/0.62 (assume @p31 (forall (@list @t74 @t75) (=> (tptp.leq @t74 @t75) (tptp.geq @t75 @t74)))) % 0.34/0.62 (assume @p32 (forall (@list @t76 @t77) (=> (tptp.geq @t76 @t77) (tptp.leq @t77 @t76)))) % 0.34/0.62 (assume @p33 (forall (@list @t78 @t79) (= (tptp.leq @t79 @t78) (or (tptp.less @t79 @t78) (= @t79 @t78))))) % 0.34/0.62 (assume @p34 (forall (@list @t80 @t81) (= (tptp.geq @t81 @t80) (or (tptp.greater @t81 @t80) (= @t81 @t80))))) % 0.34/0.62 (assume @p35 (forall (@list @t82 @t83) (=> (tptp.less @t82 @t83) (tptp.greater @t83 @t82)))) % 0.34/0.62 (assume @p36 (forall (@list @t84 @t85) (=> (tptp.greater @t84 @t85) (tptp.less @t85 @t84)))) % 0.34/0.62 (assume @p37 (forall @t91 (or @t90 @t89 @t88))) % 0.34/0.62 (assume @p38 (forall @t91 (or @t93 @t92))) % 0.34/0.62 (assume @p39 (forall @t91 (or @t94 @t92))) % 0.34/0.62 (assume @p40 (forall @t91 (or @t93 @t94))) % 0.34/0.62 (assume @p41 (forall (@list @t97 @t96) (= (tptp.less @t96 @t97) (exists (@list @t95) (= @t97 (tptp.vplus @t96 @t95)))))) % 0.34/0.62 (assume @p42 @t106) % 0.34/0.62 (assume @p43 (forall @t114 (or @t113 @t112 @t110))) % 0.34/0.62 (assume @p44 (forall @t114 (or @t116 @t115))) % 0.34/0.62 (assume @p45 (forall @t114 (or @t117 @t115))) % 0.34/0.62 (assume @p46 (forall @t114 (or @t116 @t117))) % 0.34/0.62 (assume @p47 (forall (@list @t120 @t118) (=> (not (= @t120 @t118)) (forall (@list @t119) (not (= (tptp.vplus @t119 @t120) (tptp.vplus @t119 @t118))))))) % 0.34/0.62 (assume @p48 (forall (@list @t122 @t121) (not (= @t121 (tptp.vplus @t122 @t121))))) % 0.34/0.62 (assume @p49 (forall (@list @t124 @t123) (= (tptp.vplus @t123 @t124) (tptp.vplus @t124 @t123)))) % 0.34/0.62 (assume @p50 (forall (@list @t126 @t125) (= (tptp.vplus (tptp.vsucc @t126) @t125) (tptp.vsucc (tptp.vplus @t126 @t125))))) % 0.34/0.62 (assume @p51 (forall (@list @t127) (= (tptp.vplus tptp.v1 @t127) (tptp.vsucc @t127)))) % 0.34/0.62 (assume @p52 (forall (@list @t130 @t129 @t128) (= (tptp.vplus (tptp.vplus @t130 @t129) @t128) (tptp.vplus @t130 (tptp.vplus @t129 @t128))))) % 0.34/0.62 (assume @p53 (forall (@list @t131 @t132) (and (= (tptp.vplus @t131 (tptp.vsucc @t132)) (tptp.vsucc (tptp.vplus @t131 @t132))) (= (tptp.vplus @t131 tptp.v1) (tptp.vsucc @t131))))) % 0.34/0.62 (assume @p54 (forall (@list @t133) (=> (not (= @t133 tptp.v1)) (= @t133 (tptp.vsucc (tptp.vskolem2 @t133)))))) % 0.34/0.62 (assume @p55 (forall (@list @t134) (not (= (tptp.vsucc @t134) @t134)))) % 0.34/0.62 (assume @p56 (forall (@list @t136 @t135) (=> (not (= @t136 @t135)) (not (= (tptp.vsucc @t136) (tptp.vsucc @t135)))))) % 0.34/0.62 (assume @p57 (forall (@list @t138 @t137) (=> (= (tptp.vsucc @t138) (tptp.vsucc @t137)) (= @t138 @t137)))) % 0.34/0.62 (assume @p58 (forall (@list @t139) (not (= (tptp.vsucc @t139) tptp.v1)))) % 0.34/0.62 (assume @p59 true) % 0.34/0.62 (step @p60 :rule evaluate :args ((= true false))) % 0.34/0.62 (step @p61 :rule exists-elim :args ((= @t103 (not (forall @t102 (not @t101)))))) % 0.34/0.62 (step @p62 :rule refl :args (@t104)) % 0.34/0.62 (step @p63 :rule cong :premises (@p62 @p61) :args (@t105)) % 0.34/0.62 (step @p64 :rule cong :premises (@p63) :args (@t106)) % 0.34/0.62 (step @p65 :rule eq_resolve :premises (@p42 @p64)) % 0.34/0.62 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t1 @t2))) % 0.34/0.62 (step @p67 :rule bool-double-not-elim :args (@t140)) % 0.34/0.62 (step @p68 :rule refl :args (@t3)) % 0.34/0.62 (step @p69 :rule refl :args (@t143)) % 0.34/0.62 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args ((or @t143 @t3 (not @t141)))) % 0.34/0.62 (step @p71 :rule cnf_equiv_pos2 :args (@t142)) % 0.34/0.62 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.34/0.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t3 @t140 @t143))) % 0.34/0.62 (step @p74 :rule chain_m_resolution :premises (@p73 @p1 @p66) :args (@t140 (@list true false) (@list @t3 @t142))) % 0.34/0.62 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t145))) % 0.34/0.62 (step @p76 :rule false_intro :premises (@p75)) % 0.34/0.62 (step @p77 :rule bool-impl-elim :args (@t12 @t146)) % 0.34/0.62 (step @p78 :rule cong :premises (@p77) :args ((forall @t13 (=> @t12 @t146)))) % 0.34/0.62 (step @p79 :rule eq-symm :args (@t15 @t11)) % 0.34/0.62 (step @p80 :rule refl :args (@t12)) % 0.34/0.62 (step @p81 :rule cong :premises (@p80 @p79) :args (@t16)) % 0.34/0.62 (step @p82 :rule cong :premises (@p81) :args (@t17)) % 0.34/0.62 (step @p83 :rule trans :premises (@p82 @p78)) % 0.34/0.62 (step @p84 :rule eq_resolve :premises (@p6 @p83)) % 0.34/0.62 (step @p85 :rule instantiate :premises (@p84) :args (@t147)) % 0.34/0.62 (step @p86 :rule cnf_or_pos :args (@t151)) % 0.34/0.62 (step @p87 :rule reordering :premises (@p86) :args ((or @t150 @t149 (not @t151)))) % 0.34/0.62 (step @p88 :rule chain_m_resolution :premises (@p87 @p2 @p85) :args (@t149 @t152 (@list @t4 @t151))) % 0.34/0.62 (step @p89 :rule symm :premises (@p88)) % 0.34/0.62 (step @p90 :rule bool-impl-elim :args (@t12 @t153)) % 0.34/0.62 (step @p91 :rule cong :premises (@p90) :args ((forall @t13 (=> @t12 @t153)))) % 0.34/0.62 (step @p92 :rule eq-symm :args (@t18 @t15)) % 0.34/0.62 (step @p93 :rule cong :premises (@p80 @p92) :args (@t19)) % 0.34/0.62 (step @p94 :rule cong :premises (@p93) :args (@t20)) % 0.34/0.62 (step @p95 :rule trans :premises (@p94 @p91)) % 0.34/0.62 (step @p96 :rule eq_resolve :premises (@p7 @p95)) % 0.34/0.62 (step @p97 :rule eq-symm :args (@t148 @t2)) % 0.34/0.62 (step @p98 :rule refl :args (@t150)) % 0.34/0.62 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t154)) % 0.34/0.62 (step @p100 :rule refl :args (@t155)) % 0.34/0.62 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t155 @t154))) % 0.34/0.62 (assume-push @p120 @t155) % 0.34/0.62 (step @p103 :rule instantiate :premises (@p96) :args (@t147)) % 0.34/0.62 (step-pop @p121 :rule scope :premises (@p103)) % 0.34/0.62 (step @p104 :rule process_scope :premises (@p121) :args (@t154)) % 0.34/0.62 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.34/0.62 (step @p107 :rule implies_elim :premises (@p106)) % 0.34/0.62 (step @p108 :rule chain_m_resolution :premises (@p107 @p96) :args (@t157 (@list false) (@list @t155))) % 0.34/0.62 (step @p109 :rule cnf_or_pos :args (@t157)) % 0.34/0.62 (step @p110 :rule reordering :premises (@p109) :args ((or @t150 @t156 (not @t157)))) % 0.34/0.62 (step @p111 :rule chain_m_resolution :premises (@p110 @p2 @p108) :args (@t156 @t152 (@list @t4 @t157))) % 0.34/0.62 (step @p112 :rule instantiate :premises (@p11) :args ((@list tptp.vd481 tptp.vd469))) % 0.34/0.62 (step @p113 :rule symm :premises (@p112)) % 0.34/0.62 (step @p114 :rule trans :premises (@p113 @p111 @p89)) % 0.34/0.62 (step @p115 :rule trans :premises (@p112 @p114)) % 0.34/0.62 (step @p116 :rule true_intro :premises (@p115)) % 0.34/0.62 (step @p117 :rule symm :premises (@p116)) % 0.34/0.62 (step @p118 :rule trans :premises (@p117 @p76)) % 0.34/0.62 (step @p119 false :rule eq_resolve :premises (@p118 @p60)) % 0.34/0.62 ) % 0.34/0.62 % SZS output end Proof % 0.34/0.62 % cvc5 exiting %------------------------------------------------------------------------------