%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM539+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:39:46 AM UTC 2026 % Result : Theorem 0.43s 0.65s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM539+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:29:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.65 % SZS status Theorem % 0.43/0.65 % SZS output start Proof % 0.43/0.65 ( % 0.43/0.65 (declare-sort $$unsorted 0) % 0.43/0.65 (declare-const tptp.xS $$unsorted) % 0.43/0.65 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.xT $$unsorted) % 0.43/0.65 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.slcrc0 $$unsorted) % 0.43/0.65 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.43/0.65 (declare-const tptp.szNzAzT0 $$unsorted) % 0.43/0.65 (declare-const tptp.sz00 $$unsorted) % 0.43/0.65 (define @t1 () (@var "W0" $$unsorted)) % 0.43/0.65 (define @t2 () (tptp.aSet0 @t1)) % 0.43/0.65 (define @t3 () (@list @t1)) % 0.43/0.65 (define @t4 () (tptp.aElement0 @t1)) % 0.43/0.65 (define @t5 () (@var "W1" $$unsorted)) % 0.43/0.65 (define @t6 () (tptp.aElement0 @t5)) % 0.43/0.65 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.43/0.65 (define @t8 () (@list @t5)) % 0.43/0.65 (define @t9 () (tptp.isFinite0 @t1)) % 0.43/0.65 (define @t10 () (= @t1 tptp.slcrc0)) % 0.43/0.65 (define @t11 () (tptp.isCountable0 @t1)) % 0.43/0.65 (define @t12 () (and @t2 @t11)) % 0.43/0.65 (define @t13 () (not @t10)) % 0.43/0.65 (define @t14 () (@var "W2" $$unsorted)) % 0.43/0.65 (define @t15 () (tptp.aElementOf0 @t14 @t1)) % 0.43/0.65 (define @t16 () (@list @t14)) % 0.43/0.65 (define @t17 () (tptp.aSet0 @t5)) % 0.43/0.65 (define @t18 () (tptp.aSubsetOf0 @t5 @t1)) % 0.43/0.65 (define @t19 () (tptp.isFinite0 @t5)) % 0.43/0.65 (define @t20 () (and @t2 @t9)) % 0.43/0.65 (define @t21 () (= @t1 @t5)) % 0.43/0.65 (define @t22 () (tptp.aSubsetOf0 @t1 @t5)) % 0.43/0.65 (define @t23 () (@list @t1 @t5)) % 0.43/0.65 (define @t24 () (tptp.aSet0 @t14)) % 0.43/0.65 (define @t25 () (@list @t1 @t5 @t14)) % 0.43/0.65 (define @t26 () (@var "W3" $$unsorted)) % 0.43/0.65 (define @t27 () (= @t26 @t5)) % 0.43/0.65 (define @t28 () (tptp.aElementOf0 @t26 @t1)) % 0.43/0.65 (define @t29 () (tptp.aElement0 @t26)) % 0.43/0.65 (define @t30 () (tptp.aElementOf0 @t26 @t14)) % 0.43/0.65 (define @t31 () (@list @t26)) % 0.43/0.65 (define @t32 () (tptp.sdtpldt0 @t1 @t5)) % 0.43/0.65 (define @t33 () (and @t2 @t6)) % 0.43/0.65 (define @t34 () (tptp.sdtmndt0 @t1 @t5)) % 0.43/0.65 (define @t35 () (tptp.sdtpldt0 @t5 @t1)) % 0.43/0.65 (define @t36 () (and @t17 (tptp.isCountable0 @t5))) % 0.43/0.65 (define @t37 () (tptp.sdtmndt0 @t5 @t1)) % 0.43/0.65 (define @t38 () (and @t17 @t19)) % 0.43/0.65 (define @t39 () (tptp.szszuzczcdt0 @t1)) % 0.43/0.65 (define @t40 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.43/0.65 (define @t41 () (tptp.szszuzczcdt0 @t5)) % 0.43/0.65 (define @t42 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.43/0.65 (define @t43 () (and @t40 @t42)) % 0.43/0.65 (define @t44 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.43/0.65 (define @t45 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.43/0.65 (define @t46 () (and @t44 @t45)) % 0.43/0.65 (define @t47 () (=> @t46 @t21)) % 0.43/0.65 (define @t48 () (forall @t23 (=> @t43 @t47))) % 0.43/0.65 (define @t49 () (tptp.sdtlseqdt0 @t5 @t14)) % 0.43/0.65 (define @t50 () (tptp.sbrdtbr0 @t1)) % 0.43/0.65 (define @t51 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.43/0.65 (define @t52 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.43/0.65 (define @t53 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.43/0.65 (define @t54 () (forall @t3 (=> @t53 @t40))) % 0.43/0.65 (define @t55 () (tptp.szmzizndt0 tptp.xT)) % 0.43/0.65 (define @t56 () (tptp.aElementOf0 @t55 tptp.xS)) % 0.43/0.65 (define @t57 () (tptp.sdtlseqdt0 @t55 @t1)) % 0.43/0.65 (define @t58 () (forall @t3 (=> @t52 @t57))) % 0.43/0.65 (define @t59 () (tptp.szmzizndt0 tptp.xS)) % 0.43/0.65 (define @t60 () (tptp.aElementOf0 @t59 tptp.xT)) % 0.43/0.65 (define @t61 () (tptp.sdtlseqdt0 @t59 @t1)) % 0.43/0.65 (define @t62 () (forall @t3 (=> @t53 @t61))) % 0.43/0.65 (define @t63 () (tptp.aElementOf0 @t59 tptp.xS)) % 0.43/0.65 (define @t64 () (forall @t3 (=> @t52 @t61))) % 0.43/0.65 (define @t65 () (or @t64 (= @t59 @t55))) % 0.43/0.65 (define @t66 () (and @t63 @t62)) % 0.43/0.65 (define @t67 () (=> @t66 @t65)) % 0.43/0.65 (define @t68 () (not @t67)) % 0.43/0.65 (define @t69 () (not @t45)) % 0.43/0.65 (define @t70 () (not @t44)) % 0.43/0.65 (define @t71 () (not @t42)) % 0.43/0.65 (define @t72 () (not @t40)) % 0.43/0.65 (define @t73 () (or @t72 @t71 @t70 @t69 @t21)) % 0.43/0.65 (define @t74 () (or @t70 @t69 @t21)) % 0.43/0.65 (define @t75 () (@list @t59)) % 0.43/0.65 (define @t76 () (tptp.sdtlseqdt0 @t55 @t59)) % 0.43/0.65 (define @t77 () (not @t60)) % 0.43/0.65 (define @t78 () (or @t77 @t76)) % 0.43/0.65 (define @t79 () (@list false false)) % 0.43/0.65 (define @t80 () (@list @t55)) % 0.43/0.65 (define @t81 () (tptp.sdtlseqdt0 @t59 @t55)) % 0.43/0.65 (define @t82 () (not @t56)) % 0.43/0.65 (define @t83 () (or @t82 @t81)) % 0.43/0.65 (define @t84 () (tptp.aElementOf0 @t55 tptp.szNzAzT0)) % 0.43/0.65 (define @t85 () (or @t82 @t84)) % 0.43/0.65 (define @t86 () (tptp.aElementOf0 @t59 tptp.szNzAzT0)) % 0.43/0.65 (define @t87 () (not @t63)) % 0.43/0.65 (define @t88 () (or @t87 @t86)) % 0.43/0.65 (define @t89 () (= @t55 @t59)) % 0.43/0.65 (define @t90 () (not @t81)) % 0.43/0.65 (define @t91 () (not @t76)) % 0.43/0.65 (define @t92 () (not @t86)) % 0.43/0.65 (define @t93 () (not @t84)) % 0.43/0.65 (define @t94 () (or @t93 @t92 @t91 @t90 @t89)) % 0.43/0.65 (define @t95 () (not @t94)) % 0.43/0.65 (define @t96 () (forall @t23 @t73)) % 0.43/0.65 (assume @p1 (forall @t3 (=> @t2 true))) % 0.43/0.65 (assume @p2 (forall @t3 (=> @t4 true))) % 0.43/0.65 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.43/0.65 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.43/0.65 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.43/0.65 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.43/0.65 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.43/0.65 (assume @p8 (forall @t3 (=> @t12 (not @t9)))) % 0.43/0.65 (assume @p9 (forall @t3 (=> @t12 @t13))) % 0.43/0.65 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t18 (and @t17 (forall @t16 (=> (tptp.aElementOf0 @t14 @t5) @t15)))))))) % 0.43/0.65 (assume @p11 (forall @t3 (=> @t20 (forall @t8 (=> @t18 @t19))))) % 0.43/0.65 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.43/0.65 (assume @p13 (forall @t23 (=> (and @t2 @t17) (=> (and @t22 @t18) @t21)))) % 0.43/0.65 (assume @p14 (forall @t25 (=> (and @t2 @t17 @t24) (=> (and @t22 (tptp.aSubsetOf0 @t5 @t14)) (tptp.aSubsetOf0 @t1 @t14))))) % 0.43/0.65 (assume @p15 (forall @t23 (=> @t33 (forall @t16 (= (= @t14 @t32) (and @t24 (forall @t31 (= @t30 (and @t29 (or @t28 @t27)))))))))) % 0.43/0.65 (assume @p16 (forall @t23 (=> @t33 (forall @t16 (= (= @t14 @t34) (and @t24 (forall @t31 (= @t30 (and @t29 @t28 (not @t27)))))))))) % 0.43/0.65 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t34 @t5) @t1)))))) % 0.43/0.65 (assume @p18 (forall @t23 (=> (and @t4 @t17) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t35 @t1) @t5))))) % 0.43/0.65 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t36 (tptp.isCountable0 @t35)))))) % 0.43/0.65 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t36 (tptp.isCountable0 @t37)))))) % 0.43/0.65 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t38 (tptp.isFinite0 @t35)))))) % 0.43/0.65 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t38 (tptp.isFinite0 @t37)))))) % 0.43/0.65 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.43/0.65 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.43/0.65 (assume @p25 (forall @t3 (=> @t40 (and (tptp.aElementOf0 @t39 tptp.szNzAzT0) (not (= @t39 tptp.sz00)))))) % 0.43/0.65 (assume @p26 (forall @t23 (=> @t43 (=> (= @t39 @t41) @t21)))) % 0.43/0.65 (assume @p27 (forall @t3 (=> @t40 (or (= @t1 tptp.sz00) (exists @t8 (and @t42 (= @t1 @t41))))))) % 0.43/0.65 (assume @p28 (forall @t3 (=> @t40 (not (= @t1 @t39))))) % 0.43/0.65 (assume @p29 (forall @t23 (=> @t43 (=> @t44 true)))) % 0.43/0.65 (assume @p30 (forall @t3 (=> @t40 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.43/0.65 (assume @p31 (forall @t3 (=> @t40 (not (tptp.sdtlseqdt0 @t39 tptp.sz00))))) % 0.43/0.65 (assume @p32 (forall @t23 (=> @t43 (= @t44 (tptp.sdtlseqdt0 @t39 @t41))))) % 0.43/0.65 (assume @p33 (forall @t3 (=> @t40 (tptp.sdtlseqdt0 @t1 @t39)))) % 0.43/0.65 (assume @p34 (forall @t3 (=> @t40 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.43/0.65 (assume @p35 @t48) % 0.43/0.65 (assume @p36 (forall @t25 (=> (and @t40 @t42 (tptp.aElementOf0 @t14 tptp.szNzAzT0)) (=> (and @t44 @t49) (tptp.sdtlseqdt0 @t1 @t14))))) % 0.43/0.65 (assume @p37 (forall @t23 (=> @t43 (or @t44 (tptp.sdtlseqdt0 @t41 @t1))))) % 0.43/0.65 (assume @p38 (forall @t23 (=> @t43 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.43/0.65 (assume @p39 (forall @t3 (=> @t40 (tptp.iLess0 @t1 @t39)))) % 0.43/0.65 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t50)))) % 0.43/0.65 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t50 tptp.szNzAzT0) @t9)))) % 0.43/0.65 (assume @p42 (forall @t3 (=> @t2 (= (= @t50 tptp.sz00) @t10)))) % 0.43/0.65 (assume @p43 (forall @t3 (=> @t20 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t32) (tptp.szszuzczcdt0 @t50)))))))) % 0.43/0.65 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t34)) @t50)))))) % 0.43/0.65 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t18) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t50)))))) % 0.43/0.65 (assume @p46 (forall @t23 (=> (and @t2 @t42) (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t50)) (exists @t16 (and (tptp.aSubsetOf0 @t14 @t1) (= (tptp.sbrdtbr0 @t14) @t5))))))) % 0.43/0.65 (assume @p47 (forall @t3 (=> (and @t51 @t13) (forall @t8 (= (= @t5 (tptp.szmzizndt0 @t1)) (and @t7 (forall @t16 (=> @t15 @t49)))))))) % 0.43/0.65 (assume @p48 (forall @t3 (=> (and @t51 @t9 @t13) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t16 (=> @t15 (tptp.sdtlseqdt0 @t14 @t5))))))))) % 0.43/0.65 (assume @p49 (and (tptp.aSet0 tptp.xS) @t54 (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.aSet0 tptp.xT) (forall @t3 (=> @t52 @t40)) (tptp.aSubsetOf0 tptp.xT tptp.szNzAzT0) (not (or (not (exists @t3 @t53)) (= tptp.xS tptp.slcrc0))) (not (or (not (exists @t3 @t52)) (= tptp.xT tptp.slcrc0))))) % 0.43/0.65 (assume @p50 (and @t63 @t62 @t60 (tptp.aElementOf0 @t55 tptp.xT) @t58 @t56)) % 0.43/0.65 (assume @p51 @t68) % 0.43/0.65 (assume @p52 true) % 0.43/0.65 (step @p53 :rule aci_norm :args ((= (or (or @t72 @t71) @t74) @t73))) % 0.43/0.65 (step @p54 :rule aci_norm :args ((= (or (or @t70 @t69) @t21) @t74))) % 0.43/0.65 (step @p55 :rule refl :args (@t21)) % 0.43/0.65 (step @p56 :rule bool-and-de-morgan :args (@t44 @t45 true)) % 0.43/0.65 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t46) @t21))) % 0.43/0.65 (step @p58 :rule trans :premises (@p57 @p54)) % 0.43/0.65 (step @p59 :rule bool-impl-elim :args (@t46 @t21)) % 0.43/0.65 (step @p60 :rule trans :premises (@p59 @p58)) % 0.43/0.65 (step @p61 :rule bool-and-de-morgan :args (@t40 @t42 true)) % 0.43/0.65 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t43) @t47))) % 0.43/0.65 (step @p63 :rule trans :premises (@p62 @p53)) % 0.43/0.65 (step @p64 :rule bool-impl-elim :args (@t43 @t47)) % 0.43/0.65 (step @p65 :rule trans :premises (@p64 @p63)) % 0.43/0.65 (step @p66 :rule cong :premises (@p65) :args (@t48)) % 0.43/0.65 (step @p67 :rule eq_resolve :premises (@p35 @p66)) % 0.43/0.65 (step @p68 :rule bool-impl-elim :args (@t52 @t57)) % 0.43/0.65 (step @p69 :rule cong :premises (@p68) :args (@t58)) % 0.43/0.65 (step @p70 :rule and_elim :premises (@p50) :args (4)) % 0.43/0.65 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.43/0.65 (step @p72 :rule instantiate :premises (@p71) :args (@t75)) % 0.43/0.65 (step @p73 :rule and_elim :premises (@p50) :args (2)) % 0.43/0.65 (step @p74 :rule cnf_or_pos :args (@t78)) % 0.43/0.65 (step @p75 :rule reordering :premises (@p74) :args ((or @t77 @t76 (not @t78)))) % 0.43/0.65 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p72) :args (@t76 @t79 (@list @t60 @t78))) % 0.43/0.65 (step @p77 :rule eq-symm :args (@t59 @t55)) % 0.43/0.65 (step @p78 :rule bool-impl-elim :args (@t52 @t61)) % 0.43/0.65 (step @p79 :rule cong :premises (@p78) :args (@t64)) % 0.43/0.65 (step @p80 :rule nary_cong :premises (@p79 @p77) :args (@t65)) % 0.43/0.65 (step @p81 :rule bool-impl-elim :args (@t53 @t61)) % 0.43/0.65 (step @p82 :rule cong :premises (@p81) :args (@t62)) % 0.43/0.65 (step @p83 :rule refl :args (@t63)) % 0.43/0.65 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t66)) % 0.43/0.65 (step @p85 :rule cong :premises (@p84 @p80) :args (@t67)) % 0.43/0.65 (step @p86 :rule cong :premises (@p85) :args (@t68)) % 0.43/0.65 (step @p87 :rule eq_resolve :premises (@p51 @p86)) % 0.43/0.65 (step @p88 :rule not_implies_elim1 :premises (@p87)) % 0.43/0.65 (step @p89 :rule and_elim :premises (@p88) :args (1)) % 0.43/0.65 (step @p90 :rule instantiate :premises (@p89) :args (@t80)) % 0.43/0.65 (step @p91 :rule and_elim :premises (@p50) :args (5)) % 0.43/0.65 (step @p92 :rule cnf_or_pos :args (@t83)) % 0.43/0.65 (step @p93 :rule reordering :premises (@p92) :args ((or @t82 @t81 (not @t83)))) % 0.43/0.65 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90) :args (@t81 @t79 (@list @t56 @t83))) % 0.43/0.65 (step @p95 :rule bool-impl-elim :args (@t53 @t40)) % 0.43/0.65 (step @p96 :rule cong :premises (@p95) :args (@t54)) % 0.43/0.65 (step @p97 :rule and_elim :premises (@p49) :args (1)) % 0.43/0.65 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.43/0.65 (step @p99 :rule instantiate :premises (@p98) :args (@t80)) % 0.43/0.65 (step @p100 :rule cnf_or_pos :args (@t85)) % 0.43/0.65 (step @p101 :rule reordering :premises (@p100) :args ((or @t82 @t84 (not @t85)))) % 0.43/0.65 (step @p102 :rule chain_m_resolution :premises (@p101 @p91 @p99) :args (@t84 @t79 (@list @t56 @t85))) % 0.43/0.65 (step @p103 :rule instantiate :premises (@p98) :args (@t75)) % 0.43/0.65 (step @p104 :rule and_elim :premises (@p88) :args (0)) % 0.43/0.65 (step @p105 :rule cnf_or_pos :args (@t88)) % 0.43/0.65 (step @p106 :rule reordering :premises (@p105) :args ((or @t87 @t86 (not @t88)))) % 0.43/0.65 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p103) :args (@t86 @t79 (@list @t63 @t88))) % 0.43/0.65 (step @p108 :rule not_implies_elim2 :premises (@p87)) % 0.43/0.65 (step @p109 :rule not_or_elim :premises (@p108) :args (1)) % 0.43/0.65 (step @p110 :rule cnf_or_pos :args (@t94)) % 0.43/0.65 (step @p111 :rule reordering :premises (@p110) :args ((or @t89 @t92 @t93 @t90 @t91 @t95))) % 0.43/0.65 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p107 @p102 @p94 @p76) :args (@t95 (@list true false false false false) (@list @t89 @t86 @t84 @t81 @t76))) % 0.43/0.65 (assume-push @p119 @t96) % 0.43/0.65 (step @p114 :rule instantiate :premises (@p67) :args ((@list @t55 @t59))) % 0.43/0.65 (step-pop @p120 :rule scope :premises (@p114)) % 0.43/0.65 (step @p115 :rule process_scope :premises (@p120) :args (@t94)) % 0.43/0.65 (step @p117 :rule implies_elim :premises (@p115)) % 0.43/0.65 (step @p118 false :rule chain_m_resolution :premises (@p117 @p112 @p67) :args (false (@list true false) (@list @t94 @t96))) % 0.43/0.65 ) % 0.43/0.65 % SZS output end Proof % 0.43/0.65 % cvc5 exiting %------------------------------------------------------------------------------