%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM544+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:39:47 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM544+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:29:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.xS $$unsorted) % 0.44/0.65 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.slcrc0 $$unsorted) % 0.44/0.65 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.szNzAzT0 $$unsorted) % 0.44/0.65 (declare-const tptp.sz00 $$unsorted) % 0.44/0.65 (define @t1 () (@var "W0" $$unsorted)) % 0.44/0.65 (define @t2 () (tptp.aSet0 @t1)) % 0.44/0.65 (define @t3 () (@list @t1)) % 0.44/0.65 (define @t4 () (tptp.aElement0 @t1)) % 0.44/0.65 (define @t5 () (@var "W1" $$unsorted)) % 0.44/0.65 (define @t6 () (tptp.aElement0 @t5)) % 0.44/0.65 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.44/0.65 (define @t8 () (@list @t5)) % 0.44/0.65 (define @t9 () (tptp.isFinite0 @t1)) % 0.44/0.65 (define @t10 () (= @t1 tptp.slcrc0)) % 0.44/0.65 (define @t11 () (tptp.isCountable0 @t1)) % 0.44/0.65 (define @t12 () (and @t2 @t11)) % 0.44/0.65 (define @t13 () (not @t10)) % 0.44/0.65 (define @t14 () (@var "W2" $$unsorted)) % 0.44/0.65 (define @t15 () (tptp.aElementOf0 @t14 @t1)) % 0.44/0.65 (define @t16 () (tptp.aElementOf0 @t14 @t5)) % 0.44/0.65 (define @t17 () (@list @t14)) % 0.44/0.65 (define @t18 () (tptp.aSet0 @t5)) % 0.44/0.65 (define @t19 () (tptp.aSubsetOf0 @t5 @t1)) % 0.44/0.65 (define @t20 () (tptp.isFinite0 @t5)) % 0.44/0.65 (define @t21 () (and @t2 @t9)) % 0.44/0.65 (define @t22 () (= @t1 @t5)) % 0.44/0.65 (define @t23 () (tptp.aSubsetOf0 @t1 @t5)) % 0.44/0.65 (define @t24 () (@list @t1 @t5)) % 0.44/0.65 (define @t25 () (tptp.aSet0 @t14)) % 0.44/0.65 (define @t26 () (@list @t1 @t5 @t14)) % 0.44/0.65 (define @t27 () (@var "W3" $$unsorted)) % 0.44/0.65 (define @t28 () (= @t27 @t5)) % 0.44/0.65 (define @t29 () (tptp.aElementOf0 @t27 @t1)) % 0.44/0.65 (define @t30 () (tptp.aElement0 @t27)) % 0.44/0.65 (define @t31 () (tptp.aElementOf0 @t27 @t14)) % 0.44/0.65 (define @t32 () (@list @t27)) % 0.44/0.65 (define @t33 () (tptp.sdtpldt0 @t1 @t5)) % 0.44/0.65 (define @t34 () (and @t2 @t6)) % 0.44/0.65 (define @t35 () (tptp.sdtmndt0 @t1 @t5)) % 0.44/0.65 (define @t36 () (tptp.sdtpldt0 @t5 @t1)) % 0.44/0.65 (define @t37 () (and @t18 (tptp.isCountable0 @t5))) % 0.44/0.65 (define @t38 () (tptp.sdtmndt0 @t5 @t1)) % 0.44/0.65 (define @t39 () (and @t18 @t20)) % 0.44/0.65 (define @t40 () (tptp.szszuzczcdt0 @t1)) % 0.44/0.65 (define @t41 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.44/0.65 (define @t42 () (tptp.szszuzczcdt0 @t5)) % 0.44/0.65 (define @t43 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.44/0.65 (define @t44 () (and @t41 @t43)) % 0.44/0.65 (define @t45 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.44/0.65 (define @t46 () (= @t45 (tptp.sdtlseqdt0 @t40 @t42))) % 0.44/0.65 (define @t47 () (forall @t24 (=> @t44 @t46))) % 0.44/0.65 (define @t48 () (tptp.sdtlseqdt0 @t5 @t14)) % 0.44/0.65 (define @t49 () (tptp.aElementOf0 @t14 tptp.szNzAzT0)) % 0.44/0.65 (define @t50 () (tptp.sbrdtbr0 @t1)) % 0.44/0.65 (define @t51 () (tptp.szmzizndt0 @t1)) % 0.44/0.65 (define @t52 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.44/0.65 (define @t53 () (tptp.szmzizndt0 @t5)) % 0.44/0.65 (define @t54 () (tptp.slbdtrb0 @t1)) % 0.44/0.65 (define @t55 () (tptp.slbdtrb0 @t5)) % 0.44/0.65 (define @t56 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.44/0.65 (define @t57 () (forall @t3 (=> @t56 @t41))) % 0.44/0.65 (define @t58 () (tptp.szmzazxdt0 tptp.xS)) % 0.44/0.65 (define @t59 () (tptp.szszuzczcdt0 @t58)) % 0.44/0.65 (define @t60 () (tptp.slbdtrb0 @t59)) % 0.44/0.65 (define @t61 () (tptp.aSubsetOf0 tptp.xS @t60)) % 0.44/0.65 (define @t62 () (tptp.aElementOf0 @t1 @t60)) % 0.44/0.65 (define @t63 () (forall @t3 (=> @t56 @t62))) % 0.44/0.65 (define @t64 () (or @t63 @t61)) % 0.44/0.65 (define @t65 () (and (tptp.aSet0 @t60) (forall @t3 (= @t62 (and @t41 (tptp.sdtlseqdt0 @t40 @t59)))))) % 0.44/0.65 (define @t66 () (=> @t65 @t64)) % 0.44/0.65 (define @t67 () (tptp.sdtlseqdt0 @t1 @t58)) % 0.44/0.65 (define @t68 () (forall @t3 (=> @t56 @t67))) % 0.44/0.65 (define @t69 () (tptp.aElementOf0 @t58 tptp.xS)) % 0.44/0.65 (define @t70 () (and @t69 @t68)) % 0.44/0.65 (define @t71 () (=> @t70 @t66)) % 0.44/0.65 (define @t72 () (exists @t3 @t56)) % 0.44/0.65 (define @t73 () (not @t72)) % 0.44/0.65 (define @t74 () (or @t73 (= tptp.xS tptp.slcrc0))) % 0.44/0.65 (define @t75 () (not @t74)) % 0.44/0.65 (define @t76 () (=> @t75 @t71)) % 0.44/0.65 (define @t77 () (not @t76)) % 0.44/0.65 (define @t78 () (not @t56)) % 0.44/0.65 (define @t79 () (forall @t3 @t78)) % 0.44/0.65 (define @t80 () (tptp.aElementOf0 @t58 tptp.szNzAzT0)) % 0.44/0.65 (define @t81 () (not @t69)) % 0.44/0.65 (define @t82 () (or @t81 @t80)) % 0.44/0.65 (define @t83 () (@list false false)) % 0.44/0.65 (define @t84 () (@quantifiers_skolemize (forall @t3 (or @t78 @t62)) 0)) % 0.44/0.65 (define @t85 () (@list @t84)) % 0.44/0.65 (define @t86 () (tptp.aElementOf0 @t84 tptp.xS)) % 0.44/0.65 (define @t87 () (tptp.aElementOf0 @t84 @t60)) % 0.44/0.65 (define @t88 () (not @t86)) % 0.44/0.65 (define @t89 () (or @t88 @t87)) % 0.44/0.65 (define @t90 () (@list true)) % 0.44/0.65 (define @t91 () (@list @t89)) % 0.44/0.65 (define @t92 () (tptp.aElementOf0 @t84 tptp.szNzAzT0)) % 0.44/0.65 (define @t93 () (or @t88 @t92)) % 0.44/0.65 (define @t94 () (tptp.sdtlseqdt0 @t84 @t58)) % 0.44/0.65 (define @t95 () (or @t88 @t94)) % 0.44/0.65 (define @t96 () (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t84) @t59)) % 0.44/0.65 (define @t97 () (and @t92 @t96)) % 0.44/0.65 (define @t98 () (= @t87 @t97)) % 0.44/0.65 (define @t99 () (not @t97)) % 0.44/0.65 (define @t100 () (@list true false)) % 0.44/0.65 (define @t101 () (not @t96)) % 0.44/0.65 (define @t102 () (not @t92)) % 0.44/0.65 (define @t103 () (= @t94 @t96)) % 0.44/0.65 (define @t104 () (not @t103)) % 0.44/0.65 (define @t105 () (not @t43)) % 0.44/0.65 (define @t106 () (not @t41)) % 0.44/0.65 (define @t107 () (not @t80)) % 0.44/0.65 (define @t108 () (or @t102 @t107 @t103)) % 0.44/0.65 (assume @p1 (forall @t3 (=> @t2 true))) % 0.44/0.65 (assume @p2 (forall @t3 (=> @t4 true))) % 0.44/0.65 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.44/0.65 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.44/0.65 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.44/0.65 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.44/0.65 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.44/0.65 (assume @p8 (forall @t3 (=> @t12 (not @t9)))) % 0.44/0.65 (assume @p9 (forall @t3 (=> @t12 @t13))) % 0.44/0.65 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t19 (and @t18 (forall @t17 (=> @t16 @t15)))))))) % 0.44/0.65 (assume @p11 (forall @t3 (=> @t21 (forall @t8 (=> @t19 @t20))))) % 0.44/0.65 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.44/0.65 (assume @p13 (forall @t24 (=> (and @t2 @t18) (=> (and @t23 @t19) @t22)))) % 0.44/0.65 (assume @p14 (forall @t26 (=> (and @t2 @t18 @t25) (=> (and @t23 (tptp.aSubsetOf0 @t5 @t14)) (tptp.aSubsetOf0 @t1 @t14))))) % 0.44/0.65 (assume @p15 (forall @t24 (=> @t34 (forall @t17 (= (= @t14 @t33) (and @t25 (forall @t32 (= @t31 (and @t30 (or @t29 @t28)))))))))) % 0.44/0.65 (assume @p16 (forall @t24 (=> @t34 (forall @t17 (= (= @t14 @t35) (and @t25 (forall @t32 (= @t31 (and @t30 @t29 (not @t28)))))))))) % 0.44/0.65 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t35 @t5) @t1)))))) % 0.44/0.65 (assume @p18 (forall @t24 (=> (and @t4 @t18) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t36 @t1) @t5))))) % 0.44/0.65 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t37 (tptp.isCountable0 @t36)))))) % 0.44/0.65 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t37 (tptp.isCountable0 @t38)))))) % 0.44/0.65 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isFinite0 @t36)))))) % 0.44/0.65 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t39 (tptp.isFinite0 @t38)))))) % 0.44/0.65 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.44/0.65 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.44/0.65 (assume @p25 (forall @t3 (=> @t41 (and (tptp.aElementOf0 @t40 tptp.szNzAzT0) (not (= @t40 tptp.sz00)))))) % 0.44/0.65 (assume @p26 (forall @t24 (=> @t44 (=> (= @t40 @t42) @t22)))) % 0.44/0.65 (assume @p27 (forall @t3 (=> @t41 (or (= @t1 tptp.sz00) (exists @t8 (and @t43 (= @t1 @t42))))))) % 0.44/0.65 (assume @p28 (forall @t3 (=> @t41 (not (= @t1 @t40))))) % 0.44/0.65 (assume @p29 (forall @t24 (=> @t44 (=> @t45 true)))) % 0.44/0.65 (assume @p30 (forall @t3 (=> @t41 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.44/0.65 (assume @p31 (forall @t3 (=> @t41 (not (tptp.sdtlseqdt0 @t40 tptp.sz00))))) % 0.44/0.65 (assume @p32 @t47) % 0.44/0.65 (assume @p33 (forall @t3 (=> @t41 (tptp.sdtlseqdt0 @t1 @t40)))) % 0.44/0.65 (assume @p34 (forall @t3 (=> @t41 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.44/0.65 (assume @p35 (forall @t24 (=> @t44 (=> (and @t45 (tptp.sdtlseqdt0 @t5 @t1)) @t22)))) % 0.44/0.65 (assume @p36 (forall @t26 (=> (and @t41 @t43 @t49) (=> (and @t45 @t48) (tptp.sdtlseqdt0 @t1 @t14))))) % 0.44/0.65 (assume @p37 (forall @t24 (=> @t44 (or @t45 (tptp.sdtlseqdt0 @t42 @t1))))) % 0.44/0.65 (assume @p38 (forall @t24 (=> @t44 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.44/0.65 (assume @p39 (forall @t3 (=> @t41 (tptp.iLess0 @t1 @t40)))) % 0.44/0.65 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t50)))) % 0.44/0.65 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t50 tptp.szNzAzT0) @t9)))) % 0.44/0.65 (assume @p42 (forall @t3 (=> @t2 (= (= @t50 tptp.sz00) @t10)))) % 0.44/0.65 (assume @p43 (forall @t3 (=> @t21 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t33) (tptp.szszuzczcdt0 @t50)))))))) % 0.44/0.65 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t35)) @t50)))))) % 0.44/0.65 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t19) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t50)))))) % 0.44/0.65 (assume @p46 (forall @t24 (=> (and @t2 @t43) (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t50)) (exists @t17 (and (tptp.aSubsetOf0 @t14 @t1) (= (tptp.sbrdtbr0 @t14) @t5))))))) % 0.44/0.65 (assume @p47 (forall @t3 (=> (and @t52 @t13) (forall @t8 (= (= @t5 @t51) (and @t7 (forall @t17 (=> @t15 @t48)))))))) % 0.44/0.65 (assume @p48 (forall @t3 (=> (and @t52 @t9 @t13) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t17 (=> @t15 (tptp.sdtlseqdt0 @t14 @t5))))))))) % 0.44/0.65 (assume @p49 (forall @t24 (=> (and @t52 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t13 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t51 @t5) (tptp.aElementOf0 @t53 @t1)) (= @t51 @t53))))) % 0.44/0.65 (assume @p50 (forall @t3 (=> @t41 (forall @t8 (= (= @t5 @t54) (and @t18 (forall @t17 (= @t16 (and @t49 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t14) @t1)))))))))) % 0.44/0.65 (assume @p51 (forall @t3 (=> @t41 (tptp.isFinite0 @t54)))) % 0.44/0.65 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.44/0.65 (assume @p53 (forall @t24 (=> @t44 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t42)) (or (tptp.aElementOf0 @t1 @t55) @t22))))) % 0.44/0.65 (assume @p54 (forall @t24 (=> @t44 (= @t45 (tptp.aSubsetOf0 @t54 @t55))))) % 0.44/0.65 (assume @p55 (and (tptp.aSet0 tptp.xS) @t57 (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isFinite0 tptp.xS))) % 0.44/0.65 (assume @p56 @t77) % 0.44/0.65 (assume @p57 true) % 0.44/0.65 (step @p58 :rule bool-impl-elim :args (@t56 @t41)) % 0.44/0.65 (step @p59 :rule cong :premises (@p58) :args (@t57)) % 0.44/0.65 (step @p60 :rule and_elim :premises (@p55) :args (1)) % 0.44/0.65 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.44/0.65 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t58))) % 0.44/0.65 (step @p63 :rule refl :args (@t61)) % 0.44/0.65 (step @p64 :rule bool-impl-elim :args (@t56 @t62)) % 0.44/0.65 (step @p65 :rule cong :premises (@p64) :args (@t63)) % 0.44/0.65 (step @p66 :rule nary_cong :premises (@p65 @p63) :args (@t64)) % 0.44/0.65 (step @p67 :rule refl :args (@t65)) % 0.44/0.65 (step @p68 :rule cong :premises (@p67 @p66) :args (@t66)) % 0.44/0.65 (step @p69 :rule bool-impl-elim :args (@t56 @t67)) % 0.44/0.65 (step @p70 :rule cong :premises (@p69) :args (@t68)) % 0.44/0.65 (step @p71 :rule refl :args (@t69)) % 0.44/0.65 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t70)) % 0.44/0.65 (step @p73 :rule cong :premises (@p72 @p68) :args (@t71)) % 0.44/0.65 (step @p74 :rule eq-symm :args (tptp.xS tptp.slcrc0)) % 0.44/0.65 (step @p75 :rule bool-double-not-elim :args (@t79)) % 0.44/0.65 (step @p76 :rule exists-elim :args ((= @t72 (not @t79)))) % 0.44/0.65 (step @p77 :rule cong :premises (@p76) :args (@t73)) % 0.44/0.65 (step @p78 :rule trans :premises (@p77 @p75)) % 0.44/0.65 (step @p79 :rule nary_cong :premises (@p78 @p74) :args (@t74)) % 0.44/0.65 (step @p80 :rule cong :premises (@p79) :args (@t75)) % 0.44/0.65 (step @p81 :rule cong :premises (@p80 @p73) :args (@t76)) % 0.44/0.65 (step @p82 :rule cong :premises (@p81) :args (@t77)) % 0.44/0.65 (step @p83 :rule eq_resolve :premises (@p56 @p82)) % 0.44/0.65 (step @p84 :rule not_implies_elim2 :premises (@p83)) % 0.44/0.65 (step @p85 :rule not_implies_elim1 :premises (@p84)) % 0.44/0.65 (step @p86 :rule and_elim :premises (@p85) :args (0)) % 0.44/0.65 (step @p87 :rule cnf_or_pos :args (@t82)) % 0.44/0.65 (step @p88 :rule reordering :premises (@p87) :args ((or @t81 @t80 (not @t82)))) % 0.44/0.65 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p62) :args (@t80 @t83 (@list @t69 @t82))) % 0.44/0.65 (step @p90 :rule instantiate :premises (@p61) :args (@t85)) % 0.44/0.65 (step @p91 :rule not_implies_elim2 :premises (@p84)) % 0.44/0.65 (step @p92 :rule not_implies_elim2 :premises (@p91)) % 0.44/0.65 (step @p93 :rule not_or_elim :premises (@p92) :args (0)) % 0.44/0.65 (step @p94 :rule skolemize :premises (@p93)) % 0.44/0.65 (step @p95 :rule bool-double-not-elim :args (@t86)) % 0.44/0.65 (step @p96 :rule refl :args (@t89)) % 0.44/0.65 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t89 (not @t88)))) % 0.44/0.65 (step @p98 :rule cnf_or_neg :args (@t89 0)) % 0.44/0.65 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.44/0.65 (step @p100 :rule reordering :premises (@p99) :args ((or @t86 @t89))) % 0.44/0.65 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t86 @t90 @t91)) % 0.44/0.65 (step @p102 :rule cnf_or_pos :args (@t93)) % 0.44/0.65 (step @p103 :rule reordering :premises (@p102) :args ((or @t88 @t92 (not @t93)))) % 0.44/0.65 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p90) :args (@t92 @t83 (@list @t86 @t93))) % 0.44/0.65 (step @p105 :rule and_elim :premises (@p85) :args (1)) % 0.44/0.65 (step @p106 :rule instantiate :premises (@p105) :args (@t85)) % 0.44/0.65 (step @p107 :rule cnf_or_pos :args (@t95)) % 0.44/0.65 (step @p108 :rule reordering :premises (@p107) :args ((or @t88 @t94 (not @t95)))) % 0.44/0.65 (step @p109 :rule chain_m_resolution :premises (@p108 @p101 @p106) :args (@t94 @t83 (@list @t86 @t95))) % 0.44/0.65 (step @p110 :rule not_implies_elim1 :premises (@p91)) % 0.44/0.65 (step @p111 :rule and_elim :premises (@p110) :args (1)) % 0.44/0.65 (step @p112 :rule instantiate :premises (@p111) :args (@t85)) % 0.44/0.65 (step @p113 :rule cnf_or_neg :args (@t89 1)) % 0.44/0.65 (step @p114 :rule chain_m_resolution :premises (@p113 @p94) :args ((not @t87) @t90 @t91)) % 0.44/0.65 (step @p115 :rule cnf_equiv_pos2 :args (@t98)) % 0.44/0.65 (step @p116 :rule reordering :premises (@p115) :args ((or @t87 @t99 (not @t98)))) % 0.44/0.65 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p112) :args (@t99 @t100 (@list @t87 @t98))) % 0.44/0.65 (step @p118 :rule cnf_and_neg :args (@t97)) % 0.44/0.65 (step @p119 :rule reordering :premises (@p118) :args ((or @t102 @t97 @t101))) % 0.44/0.65 (step @p120 :rule chain_m_resolution :premises (@p119 @p104 @p117) :args (@t101 (@list false true) (@list @t92 @t97))) % 0.44/0.65 (step @p121 :rule cnf_equiv_pos1 :args (@t103)) % 0.44/0.65 (step @p122 :rule reordering :premises (@p121) :args ((or @t96 (not @t94) @t104))) % 0.44/0.65 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p109) :args (@t104 @t100 (@list @t96 @t94))) % 0.44/0.65 (step @p124 :rule aci_norm :args ((= (or (or @t106 @t105) @t46) (or @t106 @t105 @t46)))) % 0.44/0.65 (step @p125 :rule refl :args (@t46)) % 0.44/0.65 (step @p126 :rule bool-and-de-morgan :args (@t41 @t43 true)) % 0.44/0.65 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t44) @t46))) % 0.44/0.65 (step @p128 :rule trans :premises (@p127 @p124)) % 0.44/0.65 (step @p129 :rule bool-impl-elim :args (@t44 @t46)) % 0.44/0.65 (step @p130 :rule trans :premises (@p129 @p128)) % 0.44/0.65 (step @p131 :rule cong :premises (@p130) :args (@t47)) % 0.44/0.65 (step @p132 :rule eq_resolve :premises (@p32 @p131)) % 0.44/0.65 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t84 @t58))) % 0.44/0.65 (step @p134 :rule cnf_or_pos :args (@t108)) % 0.44/0.65 (step @p135 :rule reordering :premises (@p134) :args ((or @t107 @t102 @t103 (not @t108)))) % 0.44/0.65 (step @p136 false :rule chain_m_resolution :premises (@p135 @p133 @p123 @p104 @p89) :args (false (@list false true false false) (@list @t108 @t103 @t92 @t80))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------