%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM540+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 : n013.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 0.61s 0.83s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM540+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 % 0.17/0.34 % Computer : n013.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 11:28:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.83 % SZS status Theorem % 0.61/0.83 % SZS output start Proof % 0.61/0.83 ( % 0.61/0.83 (declare-sort $$unsorted 0) % 0.61/0.83 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.61/0.83 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.61/0.83 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.61/0.83 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.61/0.83 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.slcrc0 $$unsorted) % 0.61/0.83 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.83 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.61/0.83 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.83 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.szNzAzT0 $$unsorted) % 0.61/0.83 (declare-const tptp.sz00 $$unsorted) % 0.61/0.83 (define @t1 () (@var "W0" $$unsorted)) % 0.61/0.83 (define @t2 () (tptp.aSet0 @t1)) % 0.61/0.83 (define @t3 () (@list @t1)) % 0.61/0.83 (define @t4 () (tptp.aElement0 @t1)) % 0.61/0.83 (define @t5 () (@var "W1" $$unsorted)) % 0.61/0.83 (define @t6 () (tptp.aElement0 @t5)) % 0.61/0.83 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.61/0.83 (define @t8 () (@list @t5)) % 0.61/0.83 (define @t9 () (tptp.isFinite0 @t1)) % 0.61/0.83 (define @t10 () (exists @t8 @t7)) % 0.61/0.83 (define @t11 () (not @t10)) % 0.61/0.83 (define @t12 () (and @t2 @t11)) % 0.61/0.83 (define @t13 () (= @t1 tptp.slcrc0)) % 0.61/0.83 (define @t14 () (= @t13 @t12)) % 0.61/0.83 (define @t15 () (forall @t3 @t14)) % 0.61/0.83 (define @t16 () (tptp.isCountable0 @t1)) % 0.61/0.83 (define @t17 () (and @t2 @t16)) % 0.61/0.83 (define @t18 () (not @t13)) % 0.61/0.83 (define @t19 () (@var "W2" $$unsorted)) % 0.61/0.83 (define @t20 () (tptp.aElementOf0 @t19 @t1)) % 0.61/0.83 (define @t21 () (tptp.aElementOf0 @t19 @t5)) % 0.61/0.83 (define @t22 () (@list @t19)) % 0.61/0.83 (define @t23 () (tptp.aSet0 @t5)) % 0.61/0.83 (define @t24 () (tptp.aSubsetOf0 @t5 @t1)) % 0.61/0.83 (define @t25 () (tptp.isFinite0 @t5)) % 0.61/0.83 (define @t26 () (and @t2 @t9)) % 0.61/0.83 (define @t27 () (= @t1 @t5)) % 0.61/0.83 (define @t28 () (tptp.aSubsetOf0 @t1 @t5)) % 0.61/0.83 (define @t29 () (@list @t1 @t5)) % 0.61/0.83 (define @t30 () (tptp.aSet0 @t19)) % 0.61/0.83 (define @t31 () (@list @t1 @t5 @t19)) % 0.61/0.83 (define @t32 () (@var "W3" $$unsorted)) % 0.61/0.83 (define @t33 () (= @t32 @t5)) % 0.61/0.83 (define @t34 () (tptp.aElementOf0 @t32 @t1)) % 0.61/0.83 (define @t35 () (tptp.aElement0 @t32)) % 0.61/0.83 (define @t36 () (tptp.aElementOf0 @t32 @t19)) % 0.61/0.83 (define @t37 () (@list @t32)) % 0.61/0.83 (define @t38 () (tptp.sdtpldt0 @t1 @t5)) % 0.61/0.83 (define @t39 () (and @t2 @t6)) % 0.61/0.83 (define @t40 () (tptp.sdtmndt0 @t1 @t5)) % 0.61/0.83 (define @t41 () (tptp.sdtpldt0 @t5 @t1)) % 0.61/0.83 (define @t42 () (and @t23 (tptp.isCountable0 @t5))) % 0.61/0.83 (define @t43 () (tptp.sdtmndt0 @t5 @t1)) % 0.61/0.83 (define @t44 () (and @t23 @t25)) % 0.61/0.83 (define @t45 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.61/0.83 (define @t46 () (tptp.szszuzczcdt0 @t1)) % 0.61/0.83 (define @t47 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.61/0.83 (define @t48 () (tptp.szszuzczcdt0 @t5)) % 0.61/0.83 (define @t49 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.61/0.83 (define @t50 () (and @t47 @t49)) % 0.61/0.83 (define @t51 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.61/0.83 (define @t52 () (not (tptp.sdtlseqdt0 @t46 tptp.sz00))) % 0.61/0.83 (define @t53 () (forall @t3 (=> @t47 @t52))) % 0.61/0.83 (define @t54 () (tptp.sdtlseqdt0 @t5 @t19)) % 0.61/0.83 (define @t55 () (tptp.aElementOf0 @t19 tptp.szNzAzT0)) % 0.61/0.83 (define @t56 () (tptp.sbrdtbr0 @t1)) % 0.61/0.83 (define @t57 () (not @t7)) % 0.61/0.83 (define @t58 () (tptp.szmzizndt0 @t1)) % 0.61/0.83 (define @t59 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.61/0.83 (define @t60 () (tptp.szmzizndt0 @t5)) % 0.61/0.83 (define @t61 () (tptp.szszuzczcdt0 @t19)) % 0.61/0.83 (define @t62 () (and @t55 (tptp.sdtlseqdt0 @t61 @t1))) % 0.61/0.83 (define @t63 () (tptp.slbdtrb0 @t1)) % 0.61/0.83 (define @t64 () (forall @t8 (= (= @t5 @t63) (and @t23 (forall @t22 (= @t21 @t62)))))) % 0.61/0.83 (define @t65 () (forall @t3 (=> @t47 @t64))) % 0.61/0.83 (define @t66 () (tptp.slbdtrb0 tptp.sz00)) % 0.61/0.83 (define @t67 () (= @t66 tptp.slcrc0)) % 0.61/0.83 (define @t68 () (forall @t22 (= (and @t55 (tptp.sdtlseqdt0 @t61 tptp.sz00)) (tptp.aElementOf0 @t19 tptp.slcrc0)))) % 0.61/0.83 (define @t69 () (@quantifiers_skolemize @t68 0)) % 0.61/0.83 (define @t70 () (@list @t69)) % 0.61/0.83 (define @t71 () (@var "BOUND_VARIABLE_8321" $$unsorted)) % 0.61/0.83 (define @t72 () (tptp.aElementOf0 @t19 @t71)) % 0.61/0.83 (define @t73 () (forall @t22 (= @t72 @t62))) % 0.61/0.83 (define @t74 () (tptp.aSet0 @t71)) % 0.61/0.83 (define @t75 () (and @t74 @t73)) % 0.61/0.83 (define @t76 () (= (= @t71 @t63) @t75)) % 0.61/0.83 (define @t77 () (not @t47)) % 0.61/0.83 (define @t78 () (or @t77 @t76)) % 0.61/0.83 (define @t79 () (@list @t1 @t71)) % 0.61/0.83 (define @t80 () (forall @t79 @t78)) % 0.61/0.83 (define @t81 () (@list @t71)) % 0.61/0.83 (define @t82 () (forall @t81 @t78)) % 0.61/0.83 (define @t83 () (forall @t81 @t76)) % 0.61/0.83 (define @t84 () (or @t77 @t83)) % 0.61/0.83 (define @t85 () (tptp.aSet0 tptp.slcrc0)) % 0.61/0.83 (define @t86 () (and @t85 @t68)) % 0.61/0.83 (define @t87 () (= @t67 @t86)) % 0.61/0.83 (define @t88 () (not @t45)) % 0.61/0.83 (define @t89 () (or @t88 @t87)) % 0.61/0.83 (define @t90 () (forall @t79 (or @t77 (= (= @t63 @t71) (and @t74 (forall @t22 (= @t62 @t72))))))) % 0.61/0.83 (define @t91 () (= tptp.slcrc0 @t66)) % 0.61/0.83 (define @t92 () (= @t91 @t86)) % 0.61/0.83 (define @t93 () (or @t88 @t92)) % 0.61/0.83 (define @t94 () (@list false)) % 0.61/0.83 (define @t95 () (not @t86)) % 0.61/0.83 (define @t96 () (forall @t8 @t57)) % 0.61/0.83 (define @t97 () (forall @t8 (not (tptp.aElementOf0 @t5 tptp.slcrc0)))) % 0.61/0.83 (define @t98 () (and @t85 @t97)) % 0.61/0.83 (define @t99 () (= (= tptp.slcrc0 tptp.slcrc0) @t98)) % 0.61/0.83 (define @t100 () (forall @t3 (= @t13 (and @t2 @t96)))) % 0.61/0.83 (define @t101 () (not @t98)) % 0.61/0.83 (define @t102 () (@list @t98)) % 0.61/0.83 (define @t103 () (not @t68)) % 0.61/0.83 (define @t104 () (tptp.aElementOf0 @t69 tptp.slcrc0)) % 0.61/0.83 (define @t105 () (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t69) tptp.sz00)) % 0.61/0.83 (define @t106 () (tptp.aElementOf0 @t69 tptp.szNzAzT0)) % 0.61/0.83 (define @t107 () (and @t106 @t105)) % 0.61/0.83 (define @t108 () (= @t107 @t104)) % 0.61/0.83 (define @t109 () (not @t107)) % 0.61/0.83 (define @t110 () (@list @t107)) % 0.61/0.83 (define @t111 () (not @t105)) % 0.61/0.83 (define @t112 () (not @t106)) % 0.61/0.83 (define @t113 () (or @t112 @t111)) % 0.61/0.83 (assume @p1 (forall @t3 (=> @t2 true))) % 0.61/0.83 (assume @p2 (forall @t3 (=> @t4 true))) % 0.61/0.83 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.61/0.83 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.61/0.83 (assume @p5 @t15) % 0.61/0.83 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.61/0.83 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 0.61/0.83 (assume @p8 (forall @t3 (=> @t17 (not @t9)))) % 0.61/0.83 (assume @p9 (forall @t3 (=> @t17 @t18))) % 0.61/0.83 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t24 (and @t23 (forall @t22 (=> @t21 @t20)))))))) % 0.61/0.83 (assume @p11 (forall @t3 (=> @t26 (forall @t8 (=> @t24 @t25))))) % 0.61/0.83 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.61/0.83 (assume @p13 (forall @t29 (=> (and @t2 @t23) (=> (and @t28 @t24) @t27)))) % 0.61/0.83 (assume @p14 (forall @t31 (=> (and @t2 @t23 @t30) (=> (and @t28 (tptp.aSubsetOf0 @t5 @t19)) (tptp.aSubsetOf0 @t1 @t19))))) % 0.61/0.83 (assume @p15 (forall @t29 (=> @t39 (forall @t22 (= (= @t19 @t38) (and @t30 (forall @t37 (= @t36 (and @t35 (or @t34 @t33)))))))))) % 0.61/0.83 (assume @p16 (forall @t29 (=> @t39 (forall @t22 (= (= @t19 @t40) (and @t30 (forall @t37 (= @t36 (and @t35 @t34 (not @t33)))))))))) % 0.61/0.83 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t40 @t5) @t1)))))) % 0.61/0.83 (assume @p18 (forall @t29 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t41 @t1) @t5))))) % 0.61/0.83 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isCountable0 @t41)))))) % 0.61/0.83 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isCountable0 @t43)))))) % 0.61/0.83 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isFinite0 @t41)))))) % 0.61/0.83 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isFinite0 @t43)))))) % 0.61/0.83 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.61/0.83 (assume @p24 @t45) % 0.61/0.83 (assume @p25 (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t46 tptp.szNzAzT0) (not (= @t46 tptp.sz00)))))) % 0.61/0.83 (assume @p26 (forall @t29 (=> @t50 (=> (= @t46 @t48) @t27)))) % 0.61/0.83 (assume @p27 (forall @t3 (=> @t47 (or (= @t1 tptp.sz00) (exists @t8 (and @t49 (= @t1 @t48))))))) % 0.61/0.83 (assume @p28 (forall @t3 (=> @t47 (not (= @t1 @t46))))) % 0.61/0.83 (assume @p29 (forall @t29 (=> @t50 (=> @t51 true)))) % 0.61/0.83 (assume @p30 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.61/0.83 (assume @p31 @t53) % 0.61/0.83 (assume @p32 (forall @t29 (=> @t50 (= @t51 (tptp.sdtlseqdt0 @t46 @t48))))) % 0.61/0.83 (assume @p33 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t46)))) % 0.61/0.83 (assume @p34 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.61/0.83 (assume @p35 (forall @t29 (=> @t50 (=> (and @t51 (tptp.sdtlseqdt0 @t5 @t1)) @t27)))) % 0.61/0.83 (assume @p36 (forall @t31 (=> (and @t47 @t49 @t55) (=> (and @t51 @t54) (tptp.sdtlseqdt0 @t1 @t19))))) % 0.61/0.83 (assume @p37 (forall @t29 (=> @t50 (or @t51 (tptp.sdtlseqdt0 @t48 @t1))))) % 0.61/0.83 (assume @p38 (forall @t29 (=> @t50 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.61/0.83 (assume @p39 (forall @t3 (=> @t47 (tptp.iLess0 @t1 @t46)))) % 0.61/0.83 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 0.61/0.83 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t56 tptp.szNzAzT0) @t9)))) % 0.61/0.83 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t13)))) % 0.61/0.83 (assume @p43 (forall @t3 (=> @t26 (forall @t8 (=> @t6 (=> @t57 (= (tptp.sbrdtbr0 @t38) (tptp.szszuzczcdt0 @t56)))))))) % 0.61/0.83 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t40)) @t56)))))) % 0.61/0.83 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t24) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t56)))))) % 0.61/0.83 (assume @p46 (forall @t29 (=> (and @t2 @t49) (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t22 (and (tptp.aSubsetOf0 @t19 @t1) (= (tptp.sbrdtbr0 @t19) @t5))))))) % 0.61/0.83 (assume @p47 (forall @t3 (=> (and @t59 @t18) (forall @t8 (= (= @t5 @t58) (and @t7 (forall @t22 (=> @t20 @t54)))))))) % 0.61/0.83 (assume @p48 (forall @t3 (=> (and @t59 @t9 @t18) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t22 (=> @t20 (tptp.sdtlseqdt0 @t19 @t5))))))))) % 0.61/0.83 (assume @p49 (forall @t29 (=> (and @t59 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t18 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t58 @t5) (tptp.aElementOf0 @t60 @t1)) (= @t58 @t60))))) % 0.61/0.83 (assume @p50 @t65) % 0.61/0.83 (assume @p51 (forall @t3 (=> @t47 (tptp.isFinite0 @t63)))) % 0.61/0.83 (assume @p52 (not @t67)) % 0.61/0.83 (assume @p53 true) % 0.61/0.83 (step @p54 :rule bool-impl-elim :args (@t47 @t52)) % 0.61/0.83 (step @p55 :rule cong :premises (@p54) :args (@t53)) % 0.61/0.83 (step @p56 :rule eq_resolve :premises (@p31 @p55)) % 0.61/0.83 (step @p57 :rule instantiate :premises (@p56) :args (@t70)) % 0.61/0.83 (step @p58 :rule eq-symm :args (@t72 @t62)) % 0.61/0.83 (step @p59 :rule cong :premises (@p58) :args (@t73)) % 0.61/0.83 (step @p60 :rule refl :args (@t74)) % 0.61/0.83 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t75)) % 0.61/0.83 (step @p62 :rule eq-symm :args (@t71 @t63)) % 0.61/0.83 (step @p63 :rule cong :premises (@p62 @p61) :args (@t76)) % 0.61/0.83 (step @p64 :rule refl :args (@t77)) % 0.61/0.83 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t78)) % 0.61/0.83 (step @p66 :rule cong :premises (@p65) :args (@t80)) % 0.61/0.83 (step @p67 :rule quant-merge-prenex :args ((= (forall @t3 @t82) @t80))) % 0.61/0.83 (step @p68 :rule alpha_equiv :args (@t83 (@list @t71) (@list @t5))) % 0.61/0.83 (step @p69 :rule refl :args (@t77)) % 0.61/0.83 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t84)) % 0.61/0.83 (step @p71 :rule quant-miniscope-or :args ((= @t82 @t84))) % 0.61/0.83 (step @p72 :rule trans :premises (@p71 @p70)) % 0.61/0.83 (step @p73 :rule symm :premises (@p72)) % 0.61/0.83 (step @p74 :rule cong :premises (@p73) :args ((forall @t3 (or @t77 @t64)))) % 0.61/0.83 (step @p75 :rule trans :premises (@p74 @p67)) % 0.61/0.83 (step @p76 :rule trans :premises (@p75 @p66)) % 0.61/0.83 (step @p77 :rule bool-impl-elim :args (@t47 @t64)) % 0.61/0.83 (step @p78 :rule cong :premises (@p77) :args (@t65)) % 0.61/0.83 (step @p79 :rule trans :premises (@p78 @p76)) % 0.61/0.83 (step @p80 :rule eq_resolve :premises (@p50 @p79)) % 0.61/0.83 (step @p81 :rule refl :args (@t86)) % 0.61/0.83 (step @p82 :rule eq-symm :args (@t66 tptp.slcrc0)) % 0.61/0.83 (step @p83 :rule cong :premises (@p82 @p81) :args (@t87)) % 0.61/0.83 (step @p84 :rule refl :args (@t88)) % 0.61/0.83 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t89)) % 0.61/0.83 (step @p86 :rule refl :args (@t90)) % 0.61/0.83 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t90 @t89))) % 0.61/0.83 (assume-push @p151 @t90) % 0.61/0.83 (step @p89 :rule instantiate :premises (@p80) :args ((@list tptp.sz00 tptp.slcrc0))) % 0.61/0.83 (step-pop @p152 :rule scope :premises (@p89)) % 0.61/0.83 (step @p90 :rule process_scope :premises (@p152) :args (@t89)) % 0.61/0.83 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 0.61/0.83 (step @p93 :rule implies_elim :premises (@p92)) % 0.61/0.83 (step @p94 :rule chain_m_resolution :premises (@p93 @p80) :args (@t93 @t94 (@list @t90))) % 0.61/0.83 (step @p95 :rule cnf_or_pos :args (@t93)) % 0.61/0.83 (step @p96 :rule reordering :premises (@p95) :args ((or @t88 @t92 (not @t93)))) % 0.61/0.83 (step @p97 :rule chain_m_resolution :premises (@p96 @p24 @p94) :args (@t92 (@list false false) (@list @t45 @t93))) % 0.61/0.83 (step @p98 :rule symm :premises (@p52)) % 0.61/0.83 (step @p99 :rule cnf_equiv_pos2 :args (@t92)) % 0.61/0.83 (step @p100 :rule reordering :premises (@p99) :args ((or @t91 @t95 (not @t92)))) % 0.61/0.83 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p97) :args (@t95 (@list true false) (@list @t91 @t92))) % 0.61/0.83 (step @p102 :rule bool-double-not-elim :args (@t96)) % 0.61/0.83 (step @p103 :rule exists-elim :args ((= @t10 (not @t96)))) % 0.61/0.83 (step @p104 :rule cong :premises (@p103) :args (@t11)) % 0.61/0.83 (step @p105 :rule trans :premises (@p104 @p102)) % 0.61/0.83 (step @p106 :rule refl :args (@t2)) % 0.61/0.83 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t12)) % 0.61/0.83 (step @p108 :rule refl :args (@t13)) % 0.61/0.83 (step @p109 :rule cong :premises (@p108 @p107) :args (@t14)) % 0.61/0.83 (step @p110 :rule cong :premises (@p109) :args (@t15)) % 0.61/0.83 (step @p111 :rule eq_resolve :premises (@p5 @p110)) % 0.61/0.83 (step @p112 :rule bool-eq-true :args (@t98)) % 0.61/0.83 (step @p113 :rule eq-symm :args (true @t98)) % 0.61/0.83 (step @p114 :rule trans :premises (@p113 @p112)) % 0.61/0.83 (step @p115 :rule refl :args (@t98)) % 0.61/0.83 (step @p116 :rule eq-refl :args (tptp.slcrc0)) % 0.61/0.83 (step @p117 :rule cong :premises (@p116 @p115) :args (@t99)) % 0.61/0.83 (step @p118 :rule trans :premises (@p117 @p114)) % 0.61/0.83 (step @p119 :rule refl :args (@t100)) % 0.61/0.83 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t100 @t99))) % 0.61/0.83 (assume-push @p153 @t100) % 0.61/0.83 (step @p122 :rule instantiate :premises (@p111) :args ((@list tptp.slcrc0))) % 0.61/0.83 (step-pop @p154 :rule scope :premises (@p122)) % 0.61/0.83 (step @p123 :rule process_scope :premises (@p154) :args (@t99)) % 0.61/0.83 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.61/0.83 (step @p126 :rule implies_elim :premises (@p125)) % 0.61/0.83 (step @p127 :rule chain_m_resolution :premises (@p126 @p111) :args (@t98 @t94 (@list @t100))) % 0.61/0.83 (step @p128 :rule cnf_and_pos :args (@t98 0)) % 0.61/0.83 (step @p129 :rule reordering :premises (@p128) :args ((or @t85 @t101))) % 0.61/0.83 (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t85 @t94 @t102)) % 0.61/0.83 (step @p131 :rule cnf_and_neg :args (@t86)) % 0.61/0.83 (step @p132 :rule reordering :premises (@p131) :args ((or (not @t85) @t86 @t103))) % 0.61/0.83 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p101) :args (@t103 (@list false true) (@list @t85 @t86))) % 0.61/0.83 (step @p134 :rule skolemize :premises (@p133)) % 0.61/0.83 (step @p135 :rule cnf_and_pos :args (@t98 1)) % 0.61/0.83 (step @p136 :rule reordering :premises (@p135) :args ((or @t97 @t101))) % 0.61/0.83 (step @p137 :rule chain_m_resolution :premises (@p136 @p127) :args (@t97 @t94 @t102)) % 0.61/0.83 (step @p138 :rule instantiate :premises (@p137) :args (@t70)) % 0.61/0.83 (step @p139 :rule cnf_equiv_neg1 :args (@t108)) % 0.61/0.83 (step @p140 :rule reordering :premises (@p139) :args ((or @t107 @t104 @t108))) % 0.61/0.83 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p134) :args (@t107 (@list true true) (@list @t104 @t108))) % 0.61/0.83 (step @p142 :rule cnf_and_pos :args (@t107 0)) % 0.61/0.83 (step @p143 :rule reordering :premises (@p142) :args ((or @t106 @t109))) % 0.61/0.83 (step @p144 :rule chain_m_resolution :premises (@p143 @p141) :args (@t106 @t94 @t110)) % 0.61/0.83 (step @p145 :rule cnf_and_pos :args (@t107 1)) % 0.61/0.83 (step @p146 :rule reordering :premises (@p145) :args ((or @t105 @t109))) % 0.61/0.83 (step @p147 :rule chain_m_resolution :premises (@p146 @p141) :args (@t105 @t94 @t110)) % 0.61/0.83 (step @p148 :rule cnf_or_pos :args (@t113)) % 0.61/0.83 (step @p149 :rule reordering :premises (@p148) :args ((or @t112 @t111 (not @t113)))) % 0.61/0.83 (step @p150 false :rule chain_m_resolution :premises (@p149 @p147 @p144 @p57) :args (false (@list false false false) (@list @t105 @t106 @t113))) % 0.61/0.83 ) % 0.61/0.83 % SZS output end Proof % 0.61/0.83 % cvc5 exiting %------------------------------------------------------------------------------