%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM555+1 : 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 : n027.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 08:39:49 AM UTC 2026 % Result : Theorem 16.11s 16.35s % Output : Proof 16.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM555+1 : 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 : n027.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 11:29:36 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.11/16.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.11/16.35 --- Run --no-e-matching --full-saturate-quant at 6... % 16.11/16.35 % SZS status Theorem % 16.11/16.35 % SZS output start Proof % 16.11/16.35 ( % 16.11/16.35 (declare-sort $$unsorted 0) % 16.11/16.35 (declare-const tptp.xP $$unsorted) % 16.11/16.35 (declare-const tptp.xT $$unsorted) % 16.11/16.35 (declare-const tptp.xy $$unsorted) % 16.11/16.35 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.xQ $$unsorted) % 16.11/16.35 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.xS $$unsorted) % 16.11/16.35 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.xx $$unsorted) % 16.11/16.35 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.slcrc0 $$unsorted) % 16.11/16.35 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.xk $$unsorted) % 16.11/16.35 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.35 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 16.11/16.35 (declare-const tptp.szNzAzT0 $$unsorted) % 16.11/16.35 (declare-const tptp.sz00 $$unsorted) % 16.11/16.35 (define @t1 () (@var "W0" $$unsorted)) % 16.11/16.35 (define @t2 () (tptp.aSet0 @t1)) % 16.11/16.35 (define @t3 () (@list @t1)) % 16.11/16.35 (define @t4 () (tptp.aElement0 @t1)) % 16.11/16.35 (define @t5 () (@var "W1" $$unsorted)) % 16.11/16.35 (define @t6 () (tptp.aElement0 @t5)) % 16.11/16.35 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 16.11/16.35 (define @t8 () (@list @t5)) % 16.11/16.35 (define @t9 () (tptp.isFinite0 @t1)) % 16.11/16.35 (define @t10 () (= @t1 tptp.slcrc0)) % 16.11/16.35 (define @t11 () (tptp.isCountable0 @t1)) % 16.11/16.35 (define @t12 () (not @t9)) % 16.11/16.35 (define @t13 () (and @t2 @t11)) % 16.11/16.35 (define @t14 () (not @t10)) % 16.11/16.35 (define @t15 () (@var "W2" $$unsorted)) % 16.11/16.35 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 16.11/16.35 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 16.11/16.35 (define @t18 () (@list @t15)) % 16.11/16.35 (define @t19 () (tptp.aSet0 @t5)) % 16.11/16.35 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 16.11/16.35 (define @t21 () (tptp.isFinite0 @t5)) % 16.11/16.35 (define @t22 () (and @t2 @t9)) % 16.11/16.35 (define @t23 () (= @t1 @t5)) % 16.11/16.35 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 16.11/16.35 (define @t25 () (@list @t1 @t5)) % 16.11/16.35 (define @t26 () (tptp.aSet0 @t15)) % 16.11/16.35 (define @t27 () (@list @t1 @t5 @t15)) % 16.11/16.35 (define @t28 () (@var "W3" $$unsorted)) % 16.11/16.35 (define @t29 () (= @t28 @t5)) % 16.11/16.35 (define @t30 () (tptp.aElementOf0 @t28 @t1)) % 16.11/16.35 (define @t31 () (tptp.aElement0 @t28)) % 16.11/16.35 (define @t32 () (tptp.aElementOf0 @t28 @t15)) % 16.11/16.35 (define @t33 () (@list @t28)) % 16.11/16.35 (define @t34 () (tptp.sdtpldt0 @t1 @t5)) % 16.11/16.35 (define @t35 () (and @t2 @t6)) % 16.11/16.35 (define @t36 () (not @t29)) % 16.11/16.35 (define @t37 () (and @t31 @t30 @t36)) % 16.11/16.35 (define @t38 () (= @t32 @t37)) % 16.11/16.35 (define @t39 () (forall @t33 @t38)) % 16.11/16.35 (define @t40 () (and @t26 @t39)) % 16.11/16.35 (define @t41 () (tptp.sdtmndt0 @t1 @t5)) % 16.11/16.35 (define @t42 () (= @t15 @t41)) % 16.11/16.35 (define @t43 () (= @t42 @t40)) % 16.11/16.35 (define @t44 () (forall @t18 @t43)) % 16.11/16.35 (define @t45 () (=> @t35 @t44)) % 16.11/16.35 (define @t46 () (forall @t25 @t45)) % 16.11/16.35 (define @t47 () (tptp.sdtpldt0 @t5 @t1)) % 16.11/16.35 (define @t48 () (and @t19 (tptp.isCountable0 @t5))) % 16.11/16.35 (define @t49 () (tptp.sdtmndt0 @t5 @t1)) % 16.11/16.35 (define @t50 () (and @t19 @t21)) % 16.11/16.35 (define @t51 () (tptp.szszuzczcdt0 @t1)) % 16.11/16.35 (define @t52 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 16.11/16.35 (define @t53 () (tptp.szszuzczcdt0 @t5)) % 16.11/16.35 (define @t54 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 16.11/16.35 (define @t55 () (and @t52 @t54)) % 16.11/16.35 (define @t56 () (tptp.sdtlseqdt0 @t1 @t5)) % 16.11/16.35 (define @t57 () (tptp.sdtlseqdt0 @t5 @t15)) % 16.11/16.35 (define @t58 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 16.11/16.35 (define @t59 () (tptp.sbrdtbr0 @t1)) % 16.11/16.35 (define @t60 () (and @t2 @t54)) % 16.11/16.35 (define @t61 () (tptp.szmzizndt0 @t1)) % 16.11/16.35 (define @t62 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 16.11/16.35 (define @t63 () (tptp.szmzizndt0 @t5)) % 16.11/16.35 (define @t64 () (tptp.slbdtrb0 @t1)) % 16.11/16.35 (define @t65 () (tptp.slbdtrb0 @t5)) % 16.11/16.35 (define @t66 () (tptp.slbdtsldtrb0 @t1 @t5)) % 16.11/16.35 (define @t67 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 16.11/16.35 (define @t68 () (tptp.aSet0 tptp.xQ)) % 16.11/16.35 (define @t69 () (tptp.aElement0 tptp.xy)) % 16.11/16.35 (define @t70 () (tptp.aElementOf0 tptp.xx tptp.xQ)) % 16.11/16.35 (define @t71 () (tptp.sdtmndt0 tptp.xQ tptp.xy)) % 16.11/16.35 (define @t72 () (tptp.aElementOf0 tptp.xx @t71)) % 16.11/16.35 (define @t73 () (not @t72)) % 16.11/16.35 (define @t74 () (and (tptp.aElement0 tptp.xx) @t70 (not (= tptp.xx tptp.xy)))) % 16.11/16.35 (define @t75 () (not @t74)) % 16.11/16.35 (define @t76 () (@var "BOUND_VARIABLE_8008" $$unsorted)) % 16.11/16.35 (define @t77 () (tptp.aElementOf0 @t28 @t76)) % 16.11/16.35 (define @t78 () (and @t31 @t30 (not (= @t5 @t28)))) % 16.11/16.35 (define @t79 () (forall @t33 (= @t77 @t78))) % 16.11/16.35 (define @t80 () (tptp.aSet0 @t76)) % 16.11/16.35 (define @t81 () (and @t80 @t79)) % 16.11/16.35 (define @t82 () (= (= @t76 @t41) @t81)) % 16.11/16.35 (define @t83 () (not @t6)) % 16.11/16.35 (define @t84 () (not @t2)) % 16.11/16.35 (define @t85 () (or @t84 @t83 @t82)) % 16.11/16.35 (define @t86 () (@list @t1 @t5 @t76)) % 16.11/16.35 (define @t87 () (forall @t86 @t85)) % 16.11/16.35 (define @t88 () (@list @t76)) % 16.11/16.35 (define @t89 () (forall @t88 @t85)) % 16.11/16.35 (define @t90 () (forall @t88 @t82)) % 16.11/16.35 (define @t91 () (or @t84 @t83 @t90)) % 16.11/16.35 (define @t92 () (forall @t18 (= @t42 (and @t26 (forall @t33 (= @t32 @t78)))))) % 16.11/16.35 (define @t93 () (or @t84 @t83 @t92)) % 16.11/16.35 (define @t94 () (tptp.aElementOf0 @t28 tptp.xQ)) % 16.11/16.35 (define @t95 () (and @t31 @t94 (not (= @t28 tptp.xy)))) % 16.11/16.35 (define @t96 () (tptp.aElementOf0 @t28 @t71)) % 16.11/16.35 (define @t97 () (forall @t33 (= @t96 @t95))) % 16.11/16.35 (define @t98 () (tptp.aSet0 @t71)) % 16.11/16.35 (define @t99 () (and @t98 @t97)) % 16.11/16.35 (define @t100 () (not (= tptp.xy @t28))) % 16.11/16.35 (define @t101 () (and @t31 @t94 @t100)) % 16.11/16.35 (define @t102 () (= @t101 @t96)) % 16.11/16.35 (define @t103 () (forall @t33 @t102)) % 16.11/16.35 (define @t104 () (and @t98 @t103)) % 16.11/16.35 (define @t105 () (= (= @t71 @t71) @t104)) % 16.11/16.35 (define @t106 () (not @t69)) % 16.11/16.35 (define @t107 () (not @t68)) % 16.11/16.35 (define @t108 () (or @t107 @t106 @t105)) % 16.11/16.35 (define @t109 () (forall @t86 (or @t84 @t83 (= (= @t41 @t76) (and @t80 (forall @t33 (= @t78 @t77))))))) % 16.11/16.35 (define @t110 () (or @t107 @t106 @t99)) % 16.11/16.35 (define @t111 () (@list false)) % 16.11/16.35 (define @t112 () (= @t72 @t74)) % 16.11/16.35 (assume @p1 (forall @t3 (=> @t2 true))) % 16.11/16.35 (assume @p2 (forall @t3 (=> @t4 true))) % 16.11/16.35 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 16.11/16.35 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 16.11/16.35 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 16.11/16.35 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 16.11/16.35 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 16.11/16.35 (assume @p8 (forall @t3 (=> @t13 @t12))) % 16.11/16.35 (assume @p9 (forall @t3 (=> @t13 @t14))) % 16.11/16.35 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 16.11/16.35 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 16.11/16.35 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 16.11/16.35 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 16.11/16.35 (assume @p14 (forall @t27 (=> (and @t2 @t19 @t26) (=> (and @t24 (tptp.aSubsetOf0 @t5 @t15)) (tptp.aSubsetOf0 @t1 @t15))))) % 16.11/16.35 (assume @p15 (forall @t25 (=> @t35 (forall @t18 (= (= @t15 @t34) (and @t26 (forall @t33 (= @t32 (and @t31 (or @t30 @t29)))))))))) % 16.11/16.35 (assume @p16 @t46) % 16.11/16.35 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t41 @t5) @t1)))))) % 16.11/16.35 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t47 @t1) @t5))))) % 16.11/16.35 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isCountable0 @t47)))))) % 16.11/16.35 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isCountable0 @t49)))))) % 16.11/16.35 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t50 (tptp.isFinite0 @t47)))))) % 16.11/16.35 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t50 (tptp.isFinite0 @t49)))))) % 16.11/16.35 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 16.11/16.35 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 16.11/16.35 (assume @p25 (forall @t3 (=> @t52 (and (tptp.aElementOf0 @t51 tptp.szNzAzT0) (not (= @t51 tptp.sz00)))))) % 16.11/16.35 (assume @p26 (forall @t25 (=> @t55 (=> (= @t51 @t53) @t23)))) % 16.11/16.35 (assume @p27 (forall @t3 (=> @t52 (or (= @t1 tptp.sz00) (exists @t8 (and @t54 (= @t1 @t53))))))) % 16.11/16.35 (assume @p28 (forall @t3 (=> @t52 (not (= @t1 @t51))))) % 16.11/16.35 (assume @p29 (forall @t25 (=> @t55 (=> @t56 true)))) % 16.11/16.35 (assume @p30 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 16.11/16.35 (assume @p31 (forall @t3 (=> @t52 (not (tptp.sdtlseqdt0 @t51 tptp.sz00))))) % 16.11/16.35 (assume @p32 (forall @t25 (=> @t55 (= @t56 (tptp.sdtlseqdt0 @t51 @t53))))) % 16.11/16.35 (assume @p33 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 @t1 @t51)))) % 16.11/16.35 (assume @p34 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.11/16.35 (assume @p35 (forall @t25 (=> @t55 (=> (and @t56 (tptp.sdtlseqdt0 @t5 @t1)) @t23)))) % 16.11/16.35 (assume @p36 (forall @t27 (=> (and @t52 @t54 @t58) (=> (and @t56 @t57) (tptp.sdtlseqdt0 @t1 @t15))))) % 16.11/16.35 (assume @p37 (forall @t25 (=> @t55 (or @t56 (tptp.sdtlseqdt0 @t53 @t1))))) % 16.11/16.35 (assume @p38 (forall @t25 (=> @t55 (=> (tptp.iLess0 @t1 @t5) true)))) % 16.11/16.35 (assume @p39 (forall @t3 (=> @t52 (tptp.iLess0 @t1 @t51)))) % 16.11/16.35 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t59)))) % 16.11/16.35 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t59 tptp.szNzAzT0) @t9)))) % 16.11/16.35 (assume @p42 (forall @t3 (=> @t2 (= (= @t59 tptp.sz00) @t10)))) % 16.11/16.35 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t34) (tptp.szszuzczcdt0 @t59)))))))) % 16.11/16.35 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t41)) @t59)))))) % 16.11/16.35 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t59)))))) % 16.11/16.35 (assume @p46 (forall @t25 (=> @t60 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t59)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 16.11/16.35 (assume @p47 (forall @t3 (=> (and @t62 @t14) (forall @t8 (= (= @t5 @t61) (and @t7 (forall @t18 (=> @t16 @t57)))))))) % 16.11/16.35 (assume @p48 (forall @t3 (=> (and @t62 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 16.11/16.35 (assume @p49 (forall @t25 (=> (and @t62 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t61 @t5) (tptp.aElementOf0 @t63 @t1)) (= @t61 @t63))))) % 16.11/16.35 (assume @p50 (forall @t3 (=> @t52 (forall @t8 (= (= @t5 @t64) (and @t19 (forall @t18 (= @t17 (and @t58 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 16.11/16.35 (assume @p51 (forall @t3 (=> @t52 (tptp.isFinite0 @t64)))) % 16.11/16.35 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 16.11/16.35 (assume @p53 (forall @t25 (=> @t55 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t53)) (or (tptp.aElementOf0 @t1 @t65) @t23))))) % 16.11/16.35 (assume @p54 (forall @t25 (=> @t55 (= @t56 (tptp.aSubsetOf0 @t64 @t65))))) % 16.11/16.35 (assume @p55 (forall @t3 (=> (and @t62 @t9) (exists @t8 (and @t54 (tptp.aSubsetOf0 @t1 @t65)))))) % 16.11/16.35 (assume @p56 (forall @t3 (=> @t52 (= (tptp.sbrdtbr0 @t64) @t1)))) % 16.11/16.35 (assume @p57 (forall @t25 (=> @t60 (forall @t18 (= (= @t15 @t66) (and @t26 (forall @t33 (= @t32 (and (tptp.aSubsetOf0 @t28 @t1) (= (tptp.sbrdtbr0 @t28) @t5)))))))))) % 16.11/16.35 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t54 (tptp.isFinite0 @t66)))))) % 16.11/16.35 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t54 (not (= @t66 tptp.slcrc0))))))) % 16.11/16.35 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t54 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t66)))))) % 16.11/16.35 (assume @p61 (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 16.11/16.35 (assume @p62 (and (tptp.aSet0 tptp.xS) (tptp.aSet0 tptp.xT) (not (= tptp.xk tptp.sz00)))) % 16.11/16.35 (assume @p63 (and (tptp.aSubsetOf0 @t67 (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) (not (= @t67 tptp.slcrc0)))) % 16.11/16.35 (assume @p64 (tptp.aElementOf0 tptp.xx tptp.xS)) % 16.11/16.35 (assume @p65 (tptp.aElementOf0 tptp.xQ @t67)) % 16.11/16.35 (assume @p66 (and @t68 (tptp.isFinite0 tptp.xQ) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xk))) % 16.11/16.35 (assume @p67 (and @t69 (tptp.aElementOf0 tptp.xy tptp.xQ))) % 16.11/16.35 (assume @p68 (not @t70)) % 16.11/16.35 (assume @p69 (= tptp.xP (tptp.sdtpldt0 @t71 tptp.xx))) % 16.11/16.35 (assume @p70 (not @t73)) % 16.11/16.35 (assume @p71 true) % 16.11/16.35 (step @p72 :rule bool-double-not-elim :args (@t72)) % 16.11/16.35 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 16.11/16.35 (step @p74 :rule cnf_and_pos :args (@t74 1)) % 16.11/16.35 (step @p75 :rule reordering :premises (@p74) :args ((or @t70 @t75))) % 16.11/16.35 (step @p76 :rule chain_m_resolution :premises (@p75 @p68) :args (@t75 (@list true) (@list @t70))) % 16.11/16.35 (step @p77 :rule eq-symm :args (@t77 @t78)) % 16.11/16.35 (step @p78 :rule cong :premises (@p77) :args (@t79)) % 16.11/16.35 (step @p79 :rule refl :args (@t80)) % 16.11/16.35 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t81)) % 16.11/16.35 (step @p81 :rule eq-symm :args (@t76 @t41)) % 16.11/16.35 (step @p82 :rule cong :premises (@p81 @p80) :args (@t82)) % 16.11/16.35 (step @p83 :rule refl :args (@t83)) % 16.11/16.35 (step @p84 :rule refl :args (@t84)) % 16.11/16.35 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82) :args (@t85)) % 16.11/16.35 (step @p86 :rule cong :premises (@p85) :args (@t87)) % 16.11/16.35 (step @p87 :rule quant-merge-prenex :args ((= (forall @t25 @t89) @t87))) % 16.11/16.35 (step @p88 :rule alpha_equiv :args (@t90 (@list @t76) (@list @t15))) % 16.11/16.35 (step @p89 :rule refl :args (@t83)) % 16.11/16.35 (step @p90 :rule refl :args (@t84)) % 16.11/16.35 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t91)) % 16.11/16.35 (step @p92 :rule quant-miniscope-or :args ((= @t89 @t91))) % 16.11/16.35 (step @p93 :rule trans :premises (@p92 @p91)) % 16.11/16.35 (step @p94 :rule symm :premises (@p93)) % 16.11/16.35 (step @p95 :rule cong :premises (@p94) :args ((forall @t25 @t93))) % 16.11/16.35 (step @p96 :rule trans :premises (@p95 @p87)) % 16.11/16.35 (step @p97 :rule trans :premises (@p96 @p86)) % 16.11/16.35 (step @p98 :rule aci_norm :args ((= (or (or @t84 @t83) @t92) @t93))) % 16.11/16.35 (step @p99 :rule refl :args (@t92)) % 16.11/16.35 (step @p100 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 16.11/16.35 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t35) @t92))) % 16.11/16.35 (step @p102 :rule trans :premises (@p101 @p98)) % 16.11/16.35 (step @p103 :rule bool-impl-elim :args (@t35 @t92)) % 16.11/16.35 (step @p104 :rule trans :premises (@p103 @p102)) % 16.11/16.35 (step @p105 :rule cong :premises (@p104) :args ((forall @t25 (=> @t35 @t92)))) % 16.11/16.35 (step @p106 :rule trans :premises (@p105 @p97)) % 16.11/16.35 (step @p107 :rule eq-symm :args (@t28 @t5)) % 16.11/16.35 (step @p108 :rule cong :premises (@p107) :args (@t36)) % 16.11/16.35 (step @p109 :rule refl :args (@t30)) % 16.11/16.35 (step @p110 :rule refl :args (@t31)) % 16.11/16.35 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t37)) % 16.11/16.35 (step @p112 :rule refl :args (@t32)) % 16.11/16.35 (step @p113 :rule cong :premises (@p112 @p111) :args (@t38)) % 16.11/16.35 (step @p114 :rule cong :premises (@p113) :args (@t39)) % 16.11/16.35 (step @p115 :rule refl :args (@t26)) % 16.11/16.35 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t40)) % 16.11/16.35 (step @p117 :rule refl :args (@t42)) % 16.11/16.35 (step @p118 :rule cong :premises (@p117 @p116) :args (@t43)) % 16.11/16.35 (step @p119 :rule cong :premises (@p118) :args (@t44)) % 16.11/16.35 (step @p120 :rule refl :args (@t35)) % 16.11/16.35 (step @p121 :rule cong :premises (@p120 @p119) :args (@t45)) % 16.11/16.35 (step @p122 :rule cong :premises (@p121) :args (@t46)) % 16.11/16.35 (step @p123 :rule trans :premises (@p122 @p106)) % 16.11/16.35 (step @p124 :rule eq_resolve :premises (@p16 @p123)) % 16.11/16.35 (step @p125 :rule bool-eq-true :args (@t99)) % 16.11/16.35 (step @p126 :rule eq-symm :args (true @t99)) % 16.11/16.35 (step @p127 :rule trans :premises (@p126 @p125)) % 16.11/16.35 (step @p128 :rule eq-symm :args (@t95 @t96)) % 16.11/16.35 (step @p129 :rule refl :args (@t96)) % 16.11/16.35 (step @p130 :rule eq-symm :args (tptp.xy @t28)) % 16.11/16.35 (step @p131 :rule cong :premises (@p130) :args (@t100)) % 16.11/16.35 (step @p132 :rule refl :args (@t94)) % 16.11/16.35 (step @p133 :rule nary_cong :premises (@p110 @p132 @p131) :args (@t101)) % 16.11/16.35 (step @p134 :rule cong :premises (@p133 @p129) :args (@t102)) % 16.11/16.35 (step @p135 :rule trans :premises (@p134 @p128)) % 16.11/16.35 (step @p136 :rule cong :premises (@p135) :args (@t103)) % 16.11/16.35 (step @p137 :rule refl :args (@t98)) % 16.11/16.35 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t104)) % 16.11/16.35 (step @p139 :rule eq-refl :args (@t71)) % 16.11/16.35 (step @p140 :rule cong :premises (@p139 @p138) :args (@t105)) % 16.11/16.35 (step @p141 :rule trans :premises (@p140 @p127)) % 16.11/16.35 (step @p142 :rule refl :args (@t106)) % 16.11/16.35 (step @p143 :rule refl :args (@t107)) % 16.11/16.35 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141) :args (@t108)) % 16.11/16.35 (step @p145 :rule refl :args (@t109)) % 16.11/16.35 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t109 @t108))) % 16.11/16.35 (assume-push @p166 @t109) % 16.11/16.35 (step @p148 :rule instantiate :premises (@p124) :args ((@list tptp.xQ tptp.xy @t71))) % 16.11/16.35 (step-pop @p167 :rule scope :premises (@p148)) % 16.11/16.35 (step @p149 :rule process_scope :premises (@p167) :args (@t108)) % 16.11/16.35 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 16.11/16.35 (step @p152 :rule implies_elim :premises (@p151)) % 16.11/16.35 (step @p153 :rule chain_m_resolution :premises (@p152 @p124) :args (@t110 @t111 (@list @t109))) % 16.11/16.35 (step @p154 :rule and_elim :premises (@p67) :args (0)) % 16.11/16.35 (step @p155 :rule and_elim :premises (@p66) :args (0)) % 16.11/16.35 (step @p156 :rule cnf_or_pos :args (@t110)) % 16.11/16.35 (step @p157 :rule reordering :premises (@p156) :args ((or @t107 @t106 @t99 (not @t110)))) % 16.11/16.35 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p154 @p153) :args (@t99 (@list false false false) (@list @t68 @t69 @t110))) % 16.11/16.35 (step @p159 :rule cnf_and_pos :args (@t99 1)) % 16.11/16.35 (step @p160 :rule reordering :premises (@p159) :args ((or @t97 (not @t99)))) % 16.11/16.35 (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t97 @t111 (@list @t99))) % 16.11/16.35 (step @p162 :rule instantiate :premises (@p161) :args ((@list tptp.xx))) % 16.11/16.35 (step @p163 :rule cnf_equiv_pos1 :args (@t112)) % 16.11/16.35 (step @p164 :rule reordering :premises (@p163) :args ((or @t73 @t74 (not @t112)))) % 16.11/16.35 (step @p165 false :rule chain_m_resolution :premises (@p164 @p162 @p76 @p73) :args (false (@list false true false) (@list @t112 @t74 @t72))) % 16.11/16.35 ) % 16.11/16.35 % SZS output end Proof % 16.11/16.35 % cvc5 exiting %------------------------------------------------------------------------------