%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM551+3 : 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 : n012.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 08:39:48 AM UTC 2026 % Result : Theorem 0.16s 0.42s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : NUM551+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.08 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 11:29:03 EDT 2026 % 0.08/0.26 % CPUTime : % 0.16/0.35 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.42 % SZS status Theorem % 0.16/0.42 % SZS output start Proof % 0.16/0.42 ( % 0.16/0.42 (declare-sort $$unsorted 0) % 0.16/0.42 (declare-const tptp.xQ $$unsorted) % 0.16/0.42 (declare-const tptp.xx $$unsorted) % 0.16/0.42 (declare-const tptp.xT $$unsorted) % 0.16/0.42 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.xS $$unsorted) % 0.16/0.42 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.slcrc0 $$unsorted) % 0.16/0.42 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.xk $$unsorted) % 0.16/0.42 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.42 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.16/0.42 (declare-const tptp.szNzAzT0 $$unsorted) % 0.16/0.42 (declare-const tptp.sz00 $$unsorted) % 0.16/0.42 (define @t1 () (@var "W0" $$unsorted)) % 0.16/0.42 (define @t2 () (tptp.aSet0 @t1)) % 0.16/0.42 (define @t3 () (@list @t1)) % 0.16/0.42 (define @t4 () (tptp.aElement0 @t1)) % 0.16/0.42 (define @t5 () (@var "W1" $$unsorted)) % 0.16/0.42 (define @t6 () (tptp.aElement0 @t5)) % 0.16/0.42 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.16/0.42 (define @t8 () (@list @t5)) % 0.16/0.42 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.16/0.42 (define @t10 () (=> @t2 @t9)) % 0.16/0.42 (define @t11 () (forall @t3 @t10)) % 0.16/0.42 (define @t12 () (tptp.isFinite0 @t1)) % 0.16/0.42 (define @t13 () (= @t1 tptp.slcrc0)) % 0.16/0.42 (define @t14 () (tptp.isCountable0 @t1)) % 0.16/0.42 (define @t15 () (not @t12)) % 0.16/0.42 (define @t16 () (and @t2 @t14)) % 0.16/0.42 (define @t17 () (not @t13)) % 0.16/0.42 (define @t18 () (@var "W2" $$unsorted)) % 0.16/0.42 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 0.16/0.42 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 0.16/0.42 (define @t21 () (@list @t18)) % 0.16/0.42 (define @t22 () (tptp.aSet0 @t5)) % 0.16/0.42 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 0.16/0.42 (define @t24 () (tptp.isFinite0 @t5)) % 0.16/0.42 (define @t25 () (and @t2 @t12)) % 0.16/0.42 (define @t26 () (= @t1 @t5)) % 0.16/0.42 (define @t27 () (tptp.aSubsetOf0 @t1 @t5)) % 0.16/0.42 (define @t28 () (@list @t1 @t5)) % 0.16/0.42 (define @t29 () (tptp.aSet0 @t18)) % 0.16/0.42 (define @t30 () (@list @t1 @t5 @t18)) % 0.16/0.42 (define @t31 () (@var "W3" $$unsorted)) % 0.16/0.42 (define @t32 () (= @t31 @t5)) % 0.16/0.42 (define @t33 () (tptp.aElementOf0 @t31 @t1)) % 0.16/0.42 (define @t34 () (tptp.aElement0 @t31)) % 0.16/0.42 (define @t35 () (tptp.aElementOf0 @t31 @t18)) % 0.16/0.42 (define @t36 () (@list @t31)) % 0.16/0.42 (define @t37 () (tptp.sdtpldt0 @t1 @t5)) % 0.16/0.42 (define @t38 () (and @t2 @t6)) % 0.16/0.42 (define @t39 () (tptp.sdtmndt0 @t1 @t5)) % 0.16/0.42 (define @t40 () (tptp.sdtpldt0 @t5 @t1)) % 0.16/0.42 (define @t41 () (and @t22 (tptp.isCountable0 @t5))) % 0.16/0.42 (define @t42 () (tptp.sdtmndt0 @t5 @t1)) % 0.16/0.42 (define @t43 () (and @t22 @t24)) % 0.16/0.42 (define @t44 () (tptp.szszuzczcdt0 @t1)) % 0.16/0.42 (define @t45 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.16/0.42 (define @t46 () (tptp.szszuzczcdt0 @t5)) % 0.16/0.42 (define @t47 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.16/0.42 (define @t48 () (and @t45 @t47)) % 0.16/0.42 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.16/0.42 (define @t50 () (tptp.sdtlseqdt0 @t5 @t18)) % 0.16/0.42 (define @t51 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 0.16/0.42 (define @t52 () (tptp.sbrdtbr0 @t1)) % 0.16/0.42 (define @t53 () (not @t7)) % 0.16/0.42 (define @t54 () (and @t2 @t47)) % 0.16/0.42 (define @t55 () (tptp.szmzizndt0 @t1)) % 0.16/0.42 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.16/0.42 (define @t57 () (tptp.szmzizndt0 @t5)) % 0.16/0.42 (define @t58 () (tptp.slbdtrb0 @t1)) % 0.16/0.42 (define @t59 () (tptp.slbdtrb0 @t5)) % 0.16/0.42 (define @t60 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.16/0.42 (define @t61 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 0.16/0.42 (define @t62 () (tptp.aElementOf0 @t1 @t61)) % 0.16/0.42 (define @t63 () (= @t52 tptp.xk)) % 0.16/0.42 (define @t64 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.16/0.42 (define @t65 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.16/0.42 (define @t66 () (forall @t3 (and (=> @t62 (and @t2 @t65 @t64 @t63)) (=> (and (or (and @t2 @t65) @t64) @t63) @t62)))) % 0.16/0.42 (define @t67 () (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) % 0.16/0.42 (define @t68 () (tptp.aElementOf0 @t1 @t67)) % 0.16/0.42 (define @t69 () (tptp.aSubsetOf0 @t1 tptp.xT)) % 0.16/0.42 (define @t70 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xT)))) % 0.16/0.42 (define @t71 () (= (tptp.sbrdtbr0 tptp.xQ) tptp.xk)) % 0.16/0.42 (define @t72 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.16/0.42 (define @t73 () (tptp.aSet0 tptp.xQ)) % 0.16/0.42 (define @t74 () (exists @t3 @t72)) % 0.16/0.42 (define @t75 () (not @t74)) % 0.16/0.42 (define @t76 () (or @t75 (= tptp.xQ tptp.slcrc0))) % 0.16/0.42 (define @t77 () (not @t76)) % 0.16/0.42 (define @t78 () (and @t4 @t72)) % 0.16/0.42 (define @t79 () (exists @t3 @t78)) % 0.16/0.42 (define @t80 () (not @t79)) % 0.16/0.42 (define @t81 () (not @t72)) % 0.16/0.42 (define @t82 () (forall @t3 @t81)) % 0.16/0.42 (define @t83 () (not @t82)) % 0.16/0.42 (define @t84 () (@quantifiers_skolemize @t82 0)) % 0.16/0.42 (define @t85 () (tptp.aElementOf0 @t84 tptp.xQ)) % 0.16/0.42 (define @t86 () (not @t85)) % 0.16/0.42 (define @t87 () (not @t86)) % 0.16/0.42 (define @t88 () (forall @t3 (not @t78))) % 0.16/0.42 (define @t89 () (not @t88)) % 0.16/0.42 (define @t90 () (@var "BOUND_VARIABLE_7893" $$unsorted)) % 0.16/0.42 (define @t91 () (tptp.aElement0 @t90)) % 0.16/0.42 (define @t92 () (not (tptp.aElementOf0 @t90 @t1))) % 0.16/0.42 (define @t93 () (not @t2)) % 0.16/0.42 (define @t94 () (or @t92 @t91)) % 0.16/0.42 (define @t95 () (or @t93 @t94)) % 0.16/0.42 (define @t96 () (forall (@list @t1 @t90) @t95)) % 0.16/0.42 (define @t97 () (@list @t90)) % 0.16/0.42 (define @t98 () (forall @t97 @t95)) % 0.16/0.42 (define @t99 () (forall @t97 @t94)) % 0.16/0.42 (define @t100 () (or @t93 @t99)) % 0.16/0.42 (define @t101 () (forall @t8 (or @t53 @t6))) % 0.16/0.42 (define @t102 () (tptp.aElement0 @t84)) % 0.16/0.42 (define @t103 () (not @t73)) % 0.16/0.42 (define @t104 () (or @t103 @t86 @t102)) % 0.16/0.42 (define @t105 () (@list false false false)) % 0.16/0.42 (define @t106 () (not @t102)) % 0.16/0.42 (define @t107 () (or @t106 @t86)) % 0.16/0.42 (assume @p1 (forall @t3 (=> @t2 true))) % 0.16/0.42 (assume @p2 (forall @t3 (=> @t4 true))) % 0.16/0.42 (assume @p3 @t11) % 0.16/0.42 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.16/0.42 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.16/0.42 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.16/0.42 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.16/0.42 (assume @p8 (forall @t3 (=> @t16 @t15))) % 0.16/0.42 (assume @p9 (forall @t3 (=> @t16 @t17))) % 0.16/0.42 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t23 (and @t22 (forall @t21 (=> @t20 @t19)))))))) % 0.16/0.42 (assume @p11 (forall @t3 (=> @t25 (forall @t8 (=> @t23 @t24))))) % 0.16/0.42 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.16/0.42 (assume @p13 (forall @t28 (=> (and @t2 @t22) (=> (and @t27 @t23) @t26)))) % 0.16/0.42 (assume @p14 (forall @t30 (=> (and @t2 @t22 @t29) (=> (and @t27 (tptp.aSubsetOf0 @t5 @t18)) (tptp.aSubsetOf0 @t1 @t18))))) % 0.16/0.42 (assume @p15 (forall @t28 (=> @t38 (forall @t21 (= (= @t18 @t37) (and @t29 (forall @t36 (= @t35 (and @t34 (or @t33 @t32)))))))))) % 0.16/0.42 (assume @p16 (forall @t28 (=> @t38 (forall @t21 (= (= @t18 @t39) (and @t29 (forall @t36 (= @t35 (and @t34 @t33 (not @t32)))))))))) % 0.16/0.42 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t39 @t5) @t1)))))) % 0.16/0.42 (assume @p18 (forall @t28 (=> (and @t4 @t22) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t40 @t1) @t5))))) % 0.16/0.42 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isCountable0 @t40)))))) % 0.16/0.42 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isCountable0 @t42)))))) % 0.16/0.42 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isFinite0 @t40)))))) % 0.16/0.42 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isFinite0 @t42)))))) % 0.16/0.42 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.16/0.42 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.16/0.42 (assume @p25 (forall @t3 (=> @t45 (and (tptp.aElementOf0 @t44 tptp.szNzAzT0) (not (= @t44 tptp.sz00)))))) % 0.16/0.42 (assume @p26 (forall @t28 (=> @t48 (=> (= @t44 @t46) @t26)))) % 0.16/0.42 (assume @p27 (forall @t3 (=> @t45 (or (= @t1 tptp.sz00) (exists @t8 (and @t47 (= @t1 @t46))))))) % 0.16/0.42 (assume @p28 (forall @t3 (=> @t45 (not (= @t1 @t44))))) % 0.16/0.42 (assume @p29 (forall @t28 (=> @t48 (=> @t49 true)))) % 0.16/0.42 (assume @p30 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.16/0.42 (assume @p31 (forall @t3 (=> @t45 (not (tptp.sdtlseqdt0 @t44 tptp.sz00))))) % 0.16/0.42 (assume @p32 (forall @t28 (=> @t48 (= @t49 (tptp.sdtlseqdt0 @t44 @t46))))) % 0.16/0.42 (assume @p33 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 @t1 @t44)))) % 0.16/0.42 (assume @p34 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.16/0.42 (assume @p35 (forall @t28 (=> @t48 (=> (and @t49 (tptp.sdtlseqdt0 @t5 @t1)) @t26)))) % 0.16/0.42 (assume @p36 (forall @t30 (=> (and @t45 @t47 @t51) (=> (and @t49 @t50) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.16/0.42 (assume @p37 (forall @t28 (=> @t48 (or @t49 (tptp.sdtlseqdt0 @t46 @t1))))) % 0.16/0.42 (assume @p38 (forall @t28 (=> @t48 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.16/0.42 (assume @p39 (forall @t3 (=> @t45 (tptp.iLess0 @t1 @t44)))) % 0.16/0.42 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t52)))) % 0.16/0.42 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t52 tptp.szNzAzT0) @t12)))) % 0.16/0.42 (assume @p42 (forall @t3 (=> @t2 (= (= @t52 tptp.sz00) @t13)))) % 0.16/0.42 (assume @p43 (forall @t3 (=> @t25 (forall @t8 (=> @t6 (=> @t53 (= (tptp.sbrdtbr0 @t37) (tptp.szszuzczcdt0 @t52)))))))) % 0.16/0.42 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t39)) @t52)))))) % 0.16/0.42 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t23) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t52)))))) % 0.16/0.42 (assume @p46 (forall @t28 (=> @t54 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t52)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 0.16/0.42 (assume @p47 (forall @t3 (=> (and @t56 @t17) (forall @t8 (= (= @t5 @t55) (and @t7 (forall @t21 (=> @t19 @t50)))))))) % 0.16/0.42 (assume @p48 (forall @t3 (=> (and @t56 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 0.16/0.42 (assume @p49 (forall @t28 (=> (and @t56 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t55 @t5) (tptp.aElementOf0 @t57 @t1)) (= @t55 @t57))))) % 0.16/0.42 (assume @p50 (forall @t3 (=> @t45 (forall @t8 (= (= @t5 @t58) (and @t22 (forall @t21 (= @t20 (and @t51 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 0.16/0.42 (assume @p51 (forall @t3 (=> @t45 (tptp.isFinite0 @t58)))) % 0.16/0.42 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.16/0.42 (assume @p53 (forall @t28 (=> @t48 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t46)) (or (tptp.aElementOf0 @t1 @t59) @t26))))) % 0.16/0.42 (assume @p54 (forall @t28 (=> @t48 (= @t49 (tptp.aSubsetOf0 @t58 @t59))))) % 0.16/0.42 (assume @p55 (forall @t3 (=> (and @t56 @t12) (exists @t8 (and @t47 (tptp.aSubsetOf0 @t1 @t59)))))) % 0.16/0.42 (assume @p56 (forall @t3 (=> @t45 (= (tptp.sbrdtbr0 @t58) @t1)))) % 0.16/0.42 (assume @p57 (forall @t28 (=> @t54 (forall @t21 (= (= @t18 @t60) (and @t29 (forall @t36 (= @t35 (and (tptp.aSubsetOf0 @t31 @t1) (= (tptp.sbrdtbr0 @t31) @t5)))))))))) % 0.16/0.42 (assume @p58 (forall @t3 (=> @t25 (forall @t8 (=> @t47 (tptp.isFinite0 @t60)))))) % 0.16/0.42 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t47 (not (= @t60 tptp.slcrc0))))))) % 0.16/0.42 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t47 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t60)))))) % 0.16/0.42 (assume @p61 (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 0.16/0.42 (assume @p62 (and (tptp.aSet0 tptp.xS) (tptp.aSet0 tptp.xT) (not (= tptp.xk tptp.sz00)))) % 0.16/0.42 (assume @p63 (and (tptp.aSet0 @t61) @t66 (tptp.aSet0 @t67) (forall @t3 (and (=> @t68 (and @t2 @t70 @t69 @t63)) (=> (and (or (and @t2 @t70) @t69) @t63) @t68))) (forall @t3 (=> @t62 @t68)) (tptp.aSubsetOf0 @t61 @t67) (not (=> @t66 (or (not (exists @t3 @t62)) (= @t61 tptp.slcrc0)))))) % 0.16/0.42 (assume @p64 (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.16/0.42 (assume @p65 (and @t73 (forall @t3 (=> @t72 (tptp.aElementOf0 @t1 tptp.xS))) (tptp.aSubsetOf0 tptp.xQ tptp.xS) @t71 (tptp.aElementOf0 tptp.xQ @t61))) % 0.16/0.42 (assume @p66 (and @t73 (tptp.isFinite0 tptp.xQ) @t71)) % 0.16/0.42 (assume @p67 @t77) % 0.16/0.42 (assume @p68 @t80) % 0.16/0.42 (assume @p69 true) % 0.16/0.42 (step @p70 :rule eq-symm :args (tptp.xQ tptp.slcrc0)) % 0.16/0.42 (step @p71 :rule bool-double-not-elim :args (@t82)) % 0.16/0.42 (step @p72 :rule exists-elim :args ((= @t74 @t83))) % 0.16/0.42 (step @p73 :rule cong :premises (@p72) :args (@t75)) % 0.16/0.42 (step @p74 :rule trans :premises (@p73 @p71)) % 0.16/0.42 (step @p75 :rule nary_cong :premises (@p74 @p70) :args (@t76)) % 0.16/0.42 (step @p76 :rule cong :premises (@p75) :args (@t77)) % 0.16/0.42 (step @p77 :rule eq_resolve :premises (@p67 @p76)) % 0.16/0.42 (step @p78 :rule not_or_elim :premises (@p77) :args (0)) % 0.16/0.42 (step @p79 :rule refl :args (@t85)) % 0.16/0.42 (step @p80 :rule nary_cong :premises (@p71 @p79) :args ((or (not @t83) @t85))) % 0.16/0.42 (step @p81 :rule bool-double-not-elim :args (@t85)) % 0.16/0.42 (step @p82 :rule refl :args (@t83)) % 0.16/0.42 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t83 @t87))) % 0.16/0.43 (assume-push @p132 @t83) % 0.16/0.43 (step @p85 :rule skolemize :premises (@p78)) % 0.16/0.43 (step-pop @p133 :rule scope :premises (@p85)) % 0.16/0.43 (step @p86 :rule process_scope :premises (@p133) :args (@t87)) % 0.16/0.43 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.16/0.43 (step @p89 :rule implies_elim :premises (@p88)) % 0.16/0.43 (step @p90 :rule eq_resolve :premises (@p89 @p80)) % 0.16/0.43 (step @p91 :rule chain_m_resolution :premises (@p90 @p78) :args (@t85 (@list true) (@list @t82))) % 0.16/0.43 (step @p92 :rule bool-double-not-elim :args ((forall @t3 (or (not @t4) @t81)))) % 0.16/0.43 (step @p93 :rule bool-and-de-morgan :args (@t4 @t72 true)) % 0.16/0.43 (step @p94 :rule cong :premises (@p93) :args (@t88)) % 0.16/0.43 (step @p95 :rule cong :premises (@p94) :args (@t89)) % 0.16/0.43 (step @p96 :rule exists-elim :args ((= @t79 @t89))) % 0.16/0.43 (step @p97 :rule trans :premises (@p96 @p95)) % 0.16/0.43 (step @p98 :rule cong :premises (@p97) :args (@t80)) % 0.16/0.43 (step @p99 :rule trans :premises (@p98 @p92)) % 0.16/0.43 (step @p100 :rule eq_resolve :premises (@p68 @p99)) % 0.16/0.43 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t84))) % 0.16/0.43 (step @p102 :rule aci_norm :args ((= @t95 (or @t93 @t92 @t91)))) % 0.16/0.43 (step @p103 :rule cong :premises (@p102) :args (@t96)) % 0.16/0.43 (step @p104 :rule quant-merge-prenex :args ((= (forall @t3 @t98) @t96))) % 0.16/0.43 (step @p105 :rule alpha_equiv :args (@t99 (@list @t90) (@list @t5))) % 0.16/0.43 (step @p106 :rule refl :args (@t93)) % 0.16/0.43 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t100)) % 0.16/0.43 (step @p108 :rule quant-miniscope-or :args ((= @t98 @t100))) % 0.16/0.43 (step @p109 :rule trans :premises (@p108 @p107)) % 0.16/0.43 (step @p110 :rule symm :premises (@p109)) % 0.16/0.43 (step @p111 :rule cong :premises (@p110) :args ((forall @t3 (or @t93 @t101)))) % 0.16/0.43 (step @p112 :rule trans :premises (@p111 @p104)) % 0.16/0.43 (step @p113 :rule trans :premises (@p112 @p103)) % 0.16/0.43 (step @p114 :rule bool-impl-elim :args (@t2 @t101)) % 0.16/0.43 (step @p115 :rule cong :premises (@p114) :args ((forall @t3 (=> @t2 @t101)))) % 0.16/0.43 (step @p116 :rule trans :premises (@p115 @p113)) % 0.16/0.43 (step @p117 :rule bool-impl-elim :args (@t7 @t6)) % 0.16/0.43 (step @p118 :rule cong :premises (@p117) :args (@t9)) % 0.16/0.43 (step @p119 :rule refl :args (@t2)) % 0.16/0.43 (step @p120 :rule cong :premises (@p119 @p118) :args (@t10)) % 0.16/0.43 (step @p121 :rule cong :premises (@p120) :args (@t11)) % 0.16/0.43 (step @p122 :rule trans :premises (@p121 @p116)) % 0.16/0.43 (step @p123 :rule eq_resolve :premises (@p3 @p122)) % 0.16/0.43 (step @p124 :rule instantiate :premises (@p123) :args ((@list tptp.xQ @t84))) % 0.16/0.43 (step @p125 :rule and_elim :premises (@p65) :args (0)) % 0.16/0.43 (step @p126 :rule cnf_or_pos :args (@t104)) % 0.16/0.43 (step @p127 :rule reordering :premises (@p126) :args ((or @t103 @t86 @t102 (not @t104)))) % 0.16/0.43 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p91 @p124) :args (@t102 @t105 (@list @t73 @t85 @t104))) % 0.16/0.43 (step @p129 :rule cnf_or_pos :args (@t107)) % 0.16/0.43 (step @p130 :rule reordering :premises (@p129) :args ((or @t86 @t106 (not @t107)))) % 0.16/0.43 (step @p131 false :rule chain_m_resolution :premises (@p130 @p128 @p101 @p91) :args (false @t105 (@list @t102 @t107 @t85))) % 0.16/0.43 ) % 0.16/0.43 % SZS output end Proof % 0.16/0.43 % cvc5 exiting %------------------------------------------------------------------------------