%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM848+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 : 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 08:40:49 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM848+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 : n020.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 12:29:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v1 $$unsorted) % 0.39/0.60 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.vd437 $$unsorted) % 0.39/0.60 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.vd436 $$unsorted) % 0.39/0.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.vd439 $$unsorted) % 0.39/0.60 (define @t1 () (tptp.vsucc tptp.vd439)) % 0.39/0.60 (define @t2 () (tptp.vmul tptp.vd436 @t1)) % 0.39/0.60 (define @t3 () (tptp.vmul tptp.vd436 tptp.vd437)) % 0.39/0.60 (define @t4 () (tptp.vmul tptp.vd436 tptp.vd439)) % 0.39/0.60 (define @t5 () (tptp.vplus @t4 tptp.vd436)) % 0.39/0.60 (define @t6 () (tptp.vplus @t3 @t5)) % 0.39/0.60 (define @t7 () (= @t6 (tptp.vplus @t3 @t2))) % 0.39/0.60 (define @t8 () (tptp.vplus @t3 @t4)) % 0.39/0.60 (define @t9 () (tptp.vplus @t8 tptp.vd436)) % 0.39/0.60 (define @t10 () (tptp.vplus tptp.vd437 tptp.vd439)) % 0.39/0.60 (define @t11 () (tptp.vmul tptp.vd436 @t10)) % 0.39/0.60 (define @t12 () (tptp.vplus @t11 tptp.vd436)) % 0.39/0.60 (define @t13 () (tptp.vmul tptp.vd436 (tptp.vsucc @t10))) % 0.39/0.60 (define @t14 () (tptp.vplus @t3 tptp.vd436)) % 0.39/0.60 (define @t15 () (tptp.vmul tptp.vd436 (tptp.vsucc tptp.vd437))) % 0.39/0.60 (define @t16 () (@var "Vd418" $$unsorted)) % 0.39/0.60 (define @t17 () (@var "Vd419" $$unsorted)) % 0.39/0.60 (define @t18 () (@var "Vd409" $$unsorted)) % 0.39/0.60 (define @t19 () (@var "Vd408" $$unsorted)) % 0.39/0.60 (define @t20 () (@var "Vd400" $$unsorted)) % 0.39/0.60 (define @t21 () (@var "Vd396" $$unsorted)) % 0.39/0.60 (define @t22 () (tptp.vmul @t21 tptp.v1)) % 0.39/0.60 (define @t23 () (@var "Vd397" $$unsorted)) % 0.39/0.60 (define @t24 () (= (tptp.vmul @t21 (tptp.vsucc @t23)) (tptp.vplus (tptp.vmul @t21 @t23) @t21))) % 0.39/0.60 (define @t25 () (and @t24 (= @t22 @t21))) % 0.39/0.60 (define @t26 () (@list @t21 @t23)) % 0.39/0.60 (define @t27 () (forall @t26 @t25)) % 0.39/0.60 (define @t28 () (@var "Vd387" $$unsorted)) % 0.39/0.60 (define @t29 () (@var "Vd386" $$unsorted)) % 0.39/0.60 (define @t30 () (@var "Vd376" $$unsorted)) % 0.39/0.60 (define @t31 () (@var "Vd375" $$unsorted)) % 0.39/0.60 (define @t32 () (@var "Vd369" $$unsorted)) % 0.39/0.60 (define @t33 () (@var "Vd366" $$unsorted)) % 0.39/0.60 (define @t34 () (@var "Vd363" $$unsorted)) % 0.39/0.60 (define @t35 () (@var "Vd365" $$unsorted)) % 0.39/0.60 (define @t36 () (@var "Vd362" $$unsorted)) % 0.39/0.60 (define @t37 () (@var "Vd356" $$unsorted)) % 0.39/0.60 (define @t38 () (@var "Vd354" $$unsorted)) % 0.39/0.60 (define @t39 () (@var "Vd355" $$unsorted)) % 0.39/0.60 (define @t40 () (@var "Vd353" $$unsorted)) % 0.39/0.60 (define @t41 () (@var "Vd341" $$unsorted)) % 0.39/0.60 (define @t42 () (@var "Vd338" $$unsorted)) % 0.39/0.60 (define @t43 () (@var "Vd340" $$unsorted)) % 0.39/0.60 (define @t44 () (@var "Vd337" $$unsorted)) % 0.39/0.60 (define @t45 () (@var "Vd329" $$unsorted)) % 0.39/0.60 (define @t46 () (@var "Vd328" $$unsorted)) % 0.39/0.60 (define @t47 () (@var "Vd330" $$unsorted)) % 0.39/0.60 (define @t48 () (tptp.vplus @t45 @t47)) % 0.39/0.60 (define @t49 () (tptp.vplus @t46 @t47)) % 0.39/0.60 (define @t50 () (@list @t46 @t45 @t47)) % 0.39/0.60 (define @t51 () (@var "Vd303" $$unsorted)) % 0.39/0.60 (define @t52 () (@var "Vd302" $$unsorted)) % 0.39/0.60 (define @t53 () (tptp.vplus @t52 @t51)) % 0.39/0.60 (define @t54 () (@var "Vd301" $$unsorted)) % 0.39/0.60 (define @t55 () (tptp.vplus @t54 @t51)) % 0.39/0.60 (define @t56 () (@list @t54 @t52 @t51)) % 0.39/0.60 (define @t57 () (@var "Vd295" $$unsorted)) % 0.39/0.60 (define @t58 () (@var "Vd296" $$unsorted)) % 0.39/0.60 (define @t59 () (@var "Vd292" $$unsorted)) % 0.39/0.60 (define @t60 () (@var "Vd289" $$unsorted)) % 0.39/0.60 (define @t61 () (@var "Vd290" $$unsorted)) % 0.39/0.60 (define @t62 () (@var "Vd283" $$unsorted)) % 0.39/0.60 (define @t63 () (@var "Vd281" $$unsorted)) % 0.39/0.60 (define @t64 () (@var "Vd282" $$unsorted)) % 0.39/0.60 (define @t65 () (@var "Vd265" $$unsorted)) % 0.39/0.60 (define @t66 () (@var "Vd262" $$unsorted)) % 0.39/0.60 (define @t67 () (@var "Vd263" $$unsorted)) % 0.39/0.60 (define @t68 () (@var "Vd258" $$unsorted)) % 0.39/0.60 (define @t69 () (@var "Vd259" $$unsorted)) % 0.39/0.60 (define @t70 () (@var "Vd254" $$unsorted)) % 0.39/0.60 (define @t71 () (@var "Vd255" $$unsorted)) % 0.39/0.60 (define @t72 () (@var "Vd249" $$unsorted)) % 0.39/0.60 (define @t73 () (@var "Vd250" $$unsorted)) % 0.39/0.60 (define @t74 () (@var "Vd244" $$unsorted)) % 0.39/0.60 (define @t75 () (@var "Vd245" $$unsorted)) % 0.39/0.60 (define @t76 () (@var "Vd226" $$unsorted)) % 0.39/0.60 (define @t77 () (@var "Vd227" $$unsorted)) % 0.39/0.60 (define @t78 () (@var "Vd208" $$unsorted)) % 0.39/0.60 (define @t79 () (@var "Vd209" $$unsorted)) % 0.39/0.60 (define @t80 () (@var "Vd204" $$unsorted)) % 0.39/0.60 (define @t81 () (@var "Vd203" $$unsorted)) % 0.39/0.60 (define @t82 () (tptp.less @t81 @t80)) % 0.39/0.60 (define @t83 () (tptp.greater @t81 @t80)) % 0.39/0.60 (define @t84 () (= @t81 @t80)) % 0.39/0.60 (define @t85 () (@list @t81 @t80)) % 0.39/0.60 (define @t86 () (not @t82)) % 0.39/0.60 (define @t87 () (not @t84)) % 0.39/0.60 (define @t88 () (not @t83)) % 0.39/0.60 (define @t89 () (@var "Vd201" $$unsorted)) % 0.39/0.60 (define @t90 () (@var "Vd199" $$unsorted)) % 0.39/0.60 (define @t91 () (@var "Vd198" $$unsorted)) % 0.39/0.60 (define @t92 () (@var "Vd196" $$unsorted)) % 0.39/0.60 (define @t93 () (@var "Vd193" $$unsorted)) % 0.39/0.60 (define @t94 () (@var "Vd194" $$unsorted)) % 0.39/0.60 (define @t95 () (@var "Vd125" $$unsorted)) % 0.39/0.60 (define @t96 () (@var "Vd120" $$unsorted)) % 0.39/0.60 (define @t97 () (@var "Vd121" $$unsorted)) % 0.39/0.60 (define @t98 () (exists (@list @t95) (= @t97 (tptp.vplus @t96 @t95)))) % 0.39/0.60 (define @t99 () (@var "Vd123" $$unsorted)) % 0.39/0.60 (define @t100 () (exists (@list @t99) (= @t96 (tptp.vplus @t97 @t99)))) % 0.39/0.60 (define @t101 () (= @t96 @t97)) % 0.39/0.60 (define @t102 () (@list @t96 @t97)) % 0.39/0.60 (define @t103 () (not @t98)) % 0.39/0.60 (define @t104 () (not @t101)) % 0.39/0.60 (define @t105 () (not @t100)) % 0.39/0.60 (define @t106 () (@var "Vd105" $$unsorted)) % 0.39/0.60 (define @t107 () (@var "Vd107" $$unsorted)) % 0.39/0.60 (define @t108 () (@var "Vd104" $$unsorted)) % 0.39/0.60 (define @t109 () (@var "Vd93" $$unsorted)) % 0.39/0.60 (define @t110 () (@var "Vd92" $$unsorted)) % 0.39/0.60 (define @t111 () (@var "Vd79" $$unsorted)) % 0.39/0.60 (define @t112 () (@var "Vd78" $$unsorted)) % 0.39/0.60 (define @t113 () (@var "Vd69" $$unsorted)) % 0.39/0.60 (define @t114 () (@var "Vd68" $$unsorted)) % 0.39/0.60 (define @t115 () (@var "Vd59" $$unsorted)) % 0.39/0.60 (define @t116 () (@var "Vd48" $$unsorted)) % 0.39/0.60 (define @t117 () (@var "Vd47" $$unsorted)) % 0.39/0.60 (define @t118 () (@var "Vd46" $$unsorted)) % 0.39/0.60 (define @t119 () (@var "Vd42" $$unsorted)) % 0.39/0.60 (define @t120 () (@var "Vd43" $$unsorted)) % 0.39/0.60 (define @t121 () (@var "Vd24" $$unsorted)) % 0.39/0.60 (define @t122 () (@var "Vd16" $$unsorted)) % 0.39/0.60 (define @t123 () (@var "Vd8" $$unsorted)) % 0.39/0.60 (define @t124 () (@var "Vd7" $$unsorted)) % 0.39/0.60 (define @t125 () (@var "Vd4" $$unsorted)) % 0.39/0.60 (define @t126 () (@var "Vd3" $$unsorted)) % 0.39/0.60 (define @t127 () (@var "Vd1" $$unsorted)) % 0.39/0.60 (define @t128 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 0.39/0.60 (define @t129 () (= @t128 (tptp.vmul @t128 tptp.v1))) % 0.39/0.60 (define @t130 () (@var "BOUND_VARIABLE_7877" $$unsorted)) % 0.39/0.60 (define @t131 () (forall (@list @t128 @t130) @t129)) % 0.39/0.60 (define @t132 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 0.39/0.60 (define @t133 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 0.39/0.60 (define @t134 () (forall (@list @t132 @t133) (= (tptp.vmul @t132 (tptp.vsucc @t133)) (tptp.vplus (tptp.vmul @t132 @t133) @t132)))) % 0.39/0.60 (define @t135 () (= @t21 @t22)) % 0.39/0.60 (define @t136 () (forall @t26 @t135)) % 0.39/0.60 (define @t137 () (@list @t21 @t23)) % 0.39/0.60 (define @t138 () (forall @t26 @t24)) % 0.39/0.60 (define @t139 () (and @t138 @t136)) % 0.39/0.60 (define @t140 () (= @t2 @t5)) % 0.39/0.60 (define @t141 () (= @t5 @t2)) % 0.39/0.60 (assume @p1 (not @t7)) % 0.39/0.60 (assume @p2 (= @t9 @t6)) % 0.39/0.60 (assume @p3 (= @t12 @t9)) % 0.39/0.60 (assume @p4 (= @t13 @t12)) % 0.39/0.60 (assume @p5 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 @t1)) @t13)) % 0.39/0.60 (assume @p6 (= @t11 @t8)) % 0.39/0.60 (assume @p7 (= @t14 (tptp.vplus @t3 (tptp.vmul tptp.vd436 tptp.v1)))) % 0.39/0.60 (assume @p8 (= @t15 @t14)) % 0.39/0.60 (assume @p9 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 tptp.v1)) @t15)) % 0.39/0.60 (assume @p10 (forall (@list @t16 @t17) (= (tptp.vmul @t16 @t17) (tptp.vmul @t17 @t16)))) % 0.39/0.60 (assume @p11 (forall (@list @t19 @t18) (= (tptp.vmul (tptp.vsucc @t19) @t18) (tptp.vplus (tptp.vmul @t19 @t18) @t18)))) % 0.39/0.60 (assume @p12 (forall (@list @t20) (= (tptp.vmul tptp.v1 @t20) @t20))) % 0.39/0.60 (assume @p13 @t27) % 0.39/0.60 (assume @p14 (forall (@list @t29 @t28) (=> (tptp.less @t29 (tptp.vplus @t28 tptp.v1)) (tptp.leq @t29 @t28)))) % 0.39/0.60 (assume @p15 (forall (@list @t31 @t30) (=> (tptp.greater @t31 @t30) (tptp.geq @t31 (tptp.vplus @t30 tptp.v1))))) % 0.39/0.60 (assume @p16 (forall (@list @t32) (tptp.geq @t32 tptp.v1))) % 0.39/0.60 (assume @p17 (forall (@list @t36 @t34 @t35 @t33) (=> (and (tptp.geq @t35 @t33) (tptp.geq @t36 @t34)) (tptp.geq (tptp.vplus @t36 @t35) (tptp.vplus @t34 @t33))))) % 0.39/0.60 (assume @p18 (forall (@list @t40 @t38 @t39 @t37) (=> (or (and (tptp.greater @t39 @t37) (tptp.geq @t40 @t38)) (and (tptp.geq @t39 @t37) (tptp.greater @t40 @t38))) (tptp.greater (tptp.vplus @t40 @t39) (tptp.vplus @t38 @t37))))) % 0.39/0.60 (assume @p19 (forall (@list @t44 @t42 @t43 @t41) (=> (and (tptp.greater @t43 @t41) (tptp.greater @t44 @t42)) (tptp.greater (tptp.vplus @t44 @t43) (tptp.vplus @t42 @t41))))) % 0.39/0.60 (assume @p20 (forall @t50 (=> (tptp.less @t49 @t48) (tptp.less @t46 @t45)))) % 0.39/0.60 (assume @p21 (forall @t50 (=> (= @t49 @t48) (= @t46 @t45)))) % 0.39/0.60 (assume @p22 (forall @t50 (=> (tptp.greater @t49 @t48) (tptp.greater @t46 @t45)))) % 0.39/0.60 (assume @p23 (forall @t56 (=> (tptp.less @t54 @t52) (tptp.less @t55 @t53)))) % 0.39/0.60 (assume @p24 (forall @t56 (=> (= @t54 @t52) (= @t55 @t53)))) % 0.39/0.60 (assume @p25 (forall @t56 (=> (tptp.greater @t54 @t52) (tptp.greater @t55 @t53)))) % 0.39/0.60 (assume @p26 (forall (@list @t57 @t58) (tptp.greater (tptp.vplus @t57 @t58) @t57))) % 0.39/0.60 (assume @p27 (forall (@list @t60 @t61 @t59) (=> (and (tptp.leq @t61 @t59) (tptp.leq @t60 @t61)) (tptp.leq @t60 @t59)))) % 0.39/0.60 (assume @p28 (forall (@list @t63 @t64 @t62) (=> (or (and (tptp.less @t64 @t62) (tptp.leq @t63 @t64)) (and (tptp.leq @t64 @t62) (tptp.less @t63 @t64))) (tptp.less @t63 @t62)))) % 0.39/0.60 (assume @p29 (forall (@list @t66 @t67 @t65) (=> (and (tptp.less @t67 @t65) (tptp.less @t66 @t67)) (tptp.less @t66 @t65)))) % 0.39/0.60 (assume @p30 (forall (@list @t68 @t69) (=> (tptp.leq @t68 @t69) (tptp.geq @t69 @t68)))) % 0.39/0.60 (assume @p31 (forall (@list @t70 @t71) (=> (tptp.geq @t70 @t71) (tptp.leq @t71 @t70)))) % 0.39/0.60 (assume @p32 (forall (@list @t72 @t73) (= (tptp.leq @t73 @t72) (or (tptp.less @t73 @t72) (= @t73 @t72))))) % 0.39/0.60 (assume @p33 (forall (@list @t74 @t75) (= (tptp.geq @t75 @t74) (or (tptp.greater @t75 @t74) (= @t75 @t74))))) % 0.39/0.60 (assume @p34 (forall (@list @t76 @t77) (=> (tptp.less @t76 @t77) (tptp.greater @t77 @t76)))) % 0.39/0.60 (assume @p35 (forall (@list @t78 @t79) (=> (tptp.greater @t78 @t79) (tptp.less @t79 @t78)))) % 0.39/0.60 (assume @p36 (forall @t85 (or @t84 @t83 @t82))) % 0.39/0.60 (assume @p37 (forall @t85 (or @t87 @t86))) % 0.39/0.60 (assume @p38 (forall @t85 (or @t88 @t86))) % 0.39/0.60 (assume @p39 (forall @t85 (or @t87 @t88))) % 0.39/0.60 (assume @p40 (forall (@list @t91 @t90) (= (tptp.less @t90 @t91) (exists (@list @t89) (= @t91 (tptp.vplus @t90 @t89)))))) % 0.39/0.60 (assume @p41 (forall (@list @t93 @t94) (= (tptp.greater @t94 @t93) (exists (@list @t92) (= @t94 (tptp.vplus @t93 @t92)))))) % 0.39/0.60 (assume @p42 (forall @t102 (or @t101 @t100 @t98))) % 0.39/0.60 (assume @p43 (forall @t102 (or @t104 @t103))) % 0.39/0.60 (assume @p44 (forall @t102 (or @t105 @t103))) % 0.39/0.60 (assume @p45 (forall @t102 (or @t104 @t105))) % 0.39/0.60 (assume @p46 (forall (@list @t108 @t106) (=> (not (= @t108 @t106)) (forall (@list @t107) (not (= (tptp.vplus @t107 @t108) (tptp.vplus @t107 @t106))))))) % 0.39/0.60 (assume @p47 (forall (@list @t110 @t109) (not (= @t109 (tptp.vplus @t110 @t109))))) % 0.39/0.60 (assume @p48 (forall (@list @t112 @t111) (= (tptp.vplus @t111 @t112) (tptp.vplus @t112 @t111)))) % 0.39/0.60 (assume @p49 (forall (@list @t114 @t113) (= (tptp.vplus (tptp.vsucc @t114) @t113) (tptp.vsucc (tptp.vplus @t114 @t113))))) % 0.39/0.60 (assume @p50 (forall (@list @t115) (= (tptp.vplus tptp.v1 @t115) (tptp.vsucc @t115)))) % 0.39/0.60 (assume @p51 (forall (@list @t118 @t117 @t116) (= (tptp.vplus (tptp.vplus @t118 @t117) @t116) (tptp.vplus @t118 (tptp.vplus @t117 @t116))))) % 0.39/0.60 (assume @p52 (forall (@list @t119 @t120) (and (= (tptp.vplus @t119 (tptp.vsucc @t120)) (tptp.vsucc (tptp.vplus @t119 @t120))) (= (tptp.vplus @t119 tptp.v1) (tptp.vsucc @t119))))) % 0.39/0.60 (assume @p53 (forall (@list @t121) (=> (not (= @t121 tptp.v1)) (= @t121 (tptp.vsucc (tptp.vskolem2 @t121)))))) % 0.39/0.60 (assume @p54 (forall (@list @t122) (not (= (tptp.vsucc @t122) @t122)))) % 0.39/0.60 (assume @p55 (forall (@list @t124 @t123) (=> (not (= @t124 @t123)) (not (= (tptp.vsucc @t124) (tptp.vsucc @t123)))))) % 0.39/0.60 (assume @p56 (forall (@list @t126 @t125) (=> (= (tptp.vsucc @t126) (tptp.vsucc @t125)) (= @t126 @t125)))) % 0.39/0.60 (assume @p57 (forall (@list @t127) (not (= (tptp.vsucc @t127) tptp.v1)))) % 0.39/0.60 (assume @p58 true) % 0.39/0.60 (step @p59 :rule quant-unused-vars :args ((= @t131 (forall (@list @t128) @t129)))) % 0.39/0.60 (step @p60 :rule refl :args (@t134)) % 0.39/0.60 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((and @t134 @t131))) % 0.39/0.60 (step @p62 :rule alpha_equiv :args (@t136 @t137 (@list @t128 @t130))) % 0.39/0.60 (step @p63 :rule alpha_equiv :args (@t138 @t137 (@list @t132 @t133))) % 0.39/0.60 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t139)) % 0.39/0.60 (step @p65 :rule quant-miniscope-and :args ((= (forall @t26 (and @t24 @t135)) @t139))) % 0.39/0.60 (step @p66 :rule trans :premises (@p65 @p64)) % 0.39/0.60 (step @p67 :rule trans :premises (@p66 @p61)) % 0.39/0.60 (step @p68 :rule eq-symm :args (@t22 @t21)) % 0.39/0.60 (step @p69 :rule refl :args (@t24)) % 0.39/0.60 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t25)) % 0.39/0.60 (step @p71 :rule cong :premises (@p70) :args (@t27)) % 0.39/0.60 (step @p72 :rule trans :premises (@p71 @p67)) % 0.39/0.60 (step @p73 :rule eq_resolve :premises (@p13 @p72)) % 0.39/0.60 (step @p74 :rule and_elim :premises (@p73) :args (0)) % 0.39/0.60 (step @p75 :rule eq-symm :args (@t2 @t5)) % 0.39/0.60 (step @p76 :rule cong :premises (@p60 @p75) :args ((=> @t134 @t140))) % 0.39/0.60 (assume-push @p92 @t134) % 0.39/0.60 (step @p78 :rule instantiate :premises (@p74) :args ((@list tptp.vd436 tptp.vd439))) % 0.39/0.60 (step-pop @p93 :rule scope :premises (@p78)) % 0.39/0.60 (step @p79 :rule process_scope :premises (@p93) :args (@t140)) % 0.39/0.60 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 0.39/0.60 (step @p82 :rule implies_elim :premises (@p81)) % 0.39/0.60 (step @p83 :rule chain_m_resolution :premises (@p82 @p74) :args (@t141 (@list false) (@list @t134))) % 0.39/0.60 (assume-push @p94 @t141) % 0.39/0.60 (step @p85 :rule refl :args (@t3)) % 0.39/0.60 (step @p86 :rule cong :premises (@p85 @p83) :args (@t6)) % 0.39/0.60 (step-pop @p95 :rule scope :premises (@p86)) % 0.39/0.60 (step @p87 :rule process_scope :premises (@p95) :args (@t7)) % 0.39/0.60 (step @p89 :rule implies_elim :premises (@p87)) % 0.39/0.60 (step @p90 :rule reordering :premises (@p89) :args ((or @t7 (not @t141)))) % 0.39/0.60 (step @p91 false :rule chain_m_resolution :premises (@p90 @p83 @p1) :args (false (@list false true) (@list @t141 @t7))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------