%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG105+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 : n023.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 08:45:41 AM UTC 2026 % Result : Theorem 0.38s 0.77s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : RNG105+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n023.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 14:08:28 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.77 % SZS status Theorem % 0.38/0.77 % SZS output start Proof % 0.38/0.77 ( % 0.38/0.77 (declare-sort $$unsorted 0) % 0.38/0.77 (declare-const tptp.xv $$unsorted) % 0.38/0.77 (declare-const tptp.xu $$unsorted) % 0.38/0.77 (declare-const tptp.xx $$unsorted) % 0.38/0.77 (declare-const tptp.xy $$unsorted) % 0.38/0.77 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 0.38/0.77 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.38/0.77 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.sz00 $$unsorted) % 0.38/0.77 (declare-const tptp.sz10 $$unsorted) % 0.38/0.77 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.38/0.77 (declare-const tptp.xc $$unsorted) % 0.38/0.77 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.77 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.77 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.77 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.77 (declare-const tptp.xz $$unsorted) % 0.38/0.77 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.77 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.38/0.77 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.77 (define @t2 () (tptp.aElement0 @t1)) % 0.38/0.77 (define @t3 () (@list @t1)) % 0.38/0.77 (define @t4 () (tptp.smndt0 @t1)) % 0.38/0.77 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.77 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.77 (define @t7 () (tptp.aElement0 @t6)) % 0.38/0.77 (define @t8 () (tptp.aElement0 @t5)) % 0.38/0.77 (define @t9 () (and @t2 @t8)) % 0.38/0.77 (define @t10 () (@list @t1 @t5)) % 0.38/0.77 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.38/0.77 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 0.38/0.77 (define @t13 () (tptp.aElement0 @t12)) % 0.38/0.77 (define @t14 () (forall @t10 (=> @t9 @t13))) % 0.38/0.77 (define @t15 () (@var "W2" $$unsorted)) % 0.38/0.77 (define @t16 () (tptp.sdtpldt0 @t5 @t15)) % 0.38/0.77 (define @t17 () (tptp.aElement0 @t15)) % 0.38/0.77 (define @t18 () (and @t2 @t8 @t17)) % 0.38/0.77 (define @t19 () (@list @t1 @t5 @t15)) % 0.38/0.77 (define @t20 () (tptp.sdtasdt0 @t5 @t1)) % 0.38/0.77 (define @t21 () (tptp.sdtasdt0 @t1 @t15)) % 0.38/0.77 (define @t22 () (tptp.smndt0 tptp.sz10)) % 0.38/0.77 (define @t23 () (= @t5 tptp.sz00)) % 0.38/0.77 (define @t24 () (= @t1 tptp.sz00)) % 0.38/0.77 (define @t25 () (tptp.aSet0 @t1)) % 0.38/0.77 (define @t26 () (tptp.aElementOf0 @t5 @t1)) % 0.38/0.77 (define @t27 () (@list @t5)) % 0.38/0.77 (define @t28 () (tptp.aElementOf0 @t15 @t1)) % 0.38/0.77 (define @t29 () (tptp.aElementOf0 @t15 @t5)) % 0.38/0.77 (define @t30 () (@list @t15)) % 0.38/0.77 (define @t31 () (tptp.aSet0 @t5)) % 0.38/0.77 (define @t32 () (and @t25 @t31)) % 0.38/0.77 (define @t33 () (@var "W3" $$unsorted)) % 0.38/0.77 (define @t34 () (@var "W5" $$unsorted)) % 0.38/0.77 (define @t35 () (@var "W4" $$unsorted)) % 0.38/0.77 (define @t36 () (tptp.aElementOf0 @t33 @t15)) % 0.38/0.77 (define @t37 () (@list @t33)) % 0.38/0.77 (define @t38 () (tptp.aSet0 @t15)) % 0.38/0.77 (define @t39 () (tptp.sdtpldt1 @t1 @t5)) % 0.38/0.77 (define @t40 () (tptp.sdtasasdt0 @t1 @t5)) % 0.38/0.77 (define @t41 () (tptp.sdtasdt0 @t15 @t5)) % 0.38/0.77 (define @t42 () (tptp.aIdeal0 @t1)) % 0.38/0.77 (define @t43 () (and @t42 (tptp.aIdeal0 @t5))) % 0.38/0.77 (define @t44 () (tptp.aElement0 @t33)) % 0.38/0.77 (define @t45 () (@list @t15 @t33)) % 0.38/0.77 (define @t46 () (tptp.aNaturalNumber0 @t1)) % 0.38/0.77 (define @t47 () (tptp.aElement0 tptp.xz)) % 0.38/0.77 (define @t48 () (tptp.slsdtgt0 tptp.xc)) % 0.38/0.77 (define @t49 () (tptp.sdtasdt0 tptp.xc @t1)) % 0.38/0.77 (define @t50 () (tptp.aElement0 tptp.xu)) % 0.38/0.77 (define @t51 () (tptp.aElement0 tptp.xv)) % 0.38/0.77 (define @t52 () (tptp.sdtpldt0 tptp.xu tptp.xv)) % 0.38/0.77 (define @t53 () (tptp.sdtasdt0 tptp.xc @t52)) % 0.38/0.77 (define @t54 () (tptp.sdtpldt0 tptp.xx tptp.xy)) % 0.38/0.77 (define @t55 () (= @t54 @t53)) % 0.38/0.77 (define @t56 () (tptp.sdtasdt0 tptp.xu tptp.xz)) % 0.38/0.77 (define @t57 () (tptp.sdtasdt0 tptp.xc @t56)) % 0.38/0.77 (define @t58 () (tptp.sdtasdt0 tptp.xz tptp.xx)) % 0.38/0.77 (define @t59 () (= @t58 @t57)) % 0.38/0.77 (define @t60 () (tptp.aElementOf0 @t58 @t48)) % 0.38/0.77 (define @t61 () (= @t49 @t58)) % 0.38/0.77 (define @t62 () (and @t2 @t61)) % 0.38/0.77 (define @t63 () (exists @t3 @t62)) % 0.38/0.77 (define @t64 () (or @t63 @t60)) % 0.38/0.77 (define @t65 () (tptp.aElementOf0 @t54 @t48)) % 0.38/0.77 (define @t66 () (= @t49 @t54)) % 0.38/0.77 (define @t67 () (and @t2 @t66)) % 0.38/0.77 (define @t68 () (exists @t3 @t67)) % 0.38/0.77 (define @t69 () (or @t68 @t65)) % 0.38/0.77 (define @t70 () (and @t69 @t64)) % 0.38/0.77 (define @t71 () (not @t70)) % 0.38/0.77 (define @t72 () (not @t8)) % 0.38/0.77 (define @t73 () (not @t2)) % 0.38/0.77 (define @t74 () (or @t73 @t72)) % 0.38/0.77 (define @t75 () (not @t9)) % 0.38/0.77 (define @t76 () (tptp.aElement0 @t56)) % 0.38/0.77 (define @t77 () (not @t47)) % 0.38/0.77 (define @t78 () (not @t50)) % 0.38/0.77 (define @t79 () (or @t78 @t77 @t76)) % 0.38/0.77 (define @t80 () (@list false false false)) % 0.38/0.77 (define @t81 () (not @t59)) % 0.38/0.77 (define @t82 () (not @t76)) % 0.38/0.77 (define @t83 () (or @t82 @t81)) % 0.38/0.77 (define @t84 () (not @t83)) % 0.38/0.77 (define @t85 () (@list false false)) % 0.38/0.77 (define @t86 () (not (= @t57 @t58))) % 0.38/0.77 (define @t87 () (or @t82 @t86)) % 0.38/0.77 (define @t88 () (forall @t3 (or @t73 (not @t61)))) % 0.38/0.77 (define @t89 () (not @t88)) % 0.38/0.77 (define @t90 () (@list true)) % 0.38/0.77 (define @t91 () (or @t89 @t60)) % 0.38/0.77 (define @t92 () (forall @t3 (not @t62))) % 0.38/0.77 (define @t93 () (not @t92)) % 0.38/0.77 (define @t94 () (forall @t3 (not @t67))) % 0.38/0.77 (define @t95 () (not @t94)) % 0.38/0.77 (define @t96 () (forall @t3 (or @t73 (not @t66)))) % 0.38/0.77 (define @t97 () (not @t96)) % 0.38/0.77 (define @t98 () (or @t97 @t65)) % 0.38/0.77 (define @t99 () (tptp.aElement0 @t52)) % 0.38/0.77 (define @t100 () (not @t51)) % 0.38/0.77 (define @t101 () (or @t78 @t100 @t99)) % 0.38/0.77 (define @t102 () (not @t55)) % 0.38/0.77 (define @t103 () (not @t99)) % 0.38/0.77 (define @t104 () (or @t103 @t102)) % 0.38/0.77 (define @t105 () (not @t104)) % 0.38/0.77 (define @t106 () (not (= @t53 @t54))) % 0.38/0.77 (define @t107 () (or @t103 @t106)) % 0.38/0.77 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.77 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.38/0.77 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.38/0.77 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.38/0.77 (assume @p5 @t11) % 0.38/0.77 (assume @p6 @t14) % 0.38/0.77 (assume @p7 (forall @t10 (=> @t9 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.38/0.77 (assume @p8 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t6 @t15) (tptp.sdtpldt0 @t1 @t16))))) % 0.38/0.77 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.38/0.77 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.38/0.77 (assume @p11 (forall @t10 (=> @t9 (= @t12 @t20)))) % 0.38/0.77 (assume @p12 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t12 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t15)))))) % 0.38/0.77 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.38/0.77 (assume @p14 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t12 @t21)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t20 (tptp.sdtasdt0 @t15 @t1))))))) % 0.38/0.77 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t22 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t22)))))) % 0.38/0.77 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.38/0.77 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t24 @t23))))) % 0.38/0.77 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.38/0.77 (assume @p19 (forall @t3 (=> @t25 true))) % 0.38/0.77 (assume @p20 (forall @t3 (=> @t25 (forall @t27 (=> @t26 @t8))))) % 0.38/0.77 (assume @p21 (forall @t10 (=> @t32 (=> (and (forall @t30 (=> @t28 @t29)) (forall @t30 (=> @t29 @t28))) (= @t1 @t5))))) % 0.38/0.77 (assume @p22 (forall @t10 (=> @t32 (forall @t30 (= (= @t15 @t39) (and @t38 (forall @t37 (= @t36 (exists (@list @t35 @t34) (and (tptp.aElementOf0 @t35 @t1) (tptp.aElementOf0 @t34 @t5) (= (tptp.sdtpldt0 @t35 @t34) @t33))))))))))) % 0.38/0.77 (assume @p23 (forall @t10 (=> @t32 (forall @t30 (= (= @t15 @t40) (and @t38 (forall @t37 (= @t36 (and (tptp.aElementOf0 @t33 @t1) (tptp.aElementOf0 @t33 @t5)))))))))) % 0.38/0.77 (assume @p24 (forall @t3 (= @t42 (and @t25 (forall @t27 (=> @t26 (and (forall @t30 (=> @t28 (tptp.aElementOf0 @t16 @t1))) (forall @t30 (=> @t17 (tptp.aElementOf0 @t41 @t1)))))))))) % 0.38/0.77 (assume @p25 (forall @t10 (=> @t43 (tptp.aIdeal0 @t39)))) % 0.38/0.77 (assume @p26 (forall @t10 (=> @t43 (tptp.aIdeal0 @t40)))) % 0.38/0.77 (assume @p27 (forall @t19 (=> (and @t2 @t8 (tptp.aIdeal0 @t15)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t15) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t15))))) % 0.38/0.77 (assume @p28 (forall @t10 (=> @t43 (=> (forall @t30 (=> @t17 (tptp.aElementOf0 @t15 @t39))) (forall @t45 (=> (and @t17 @t44) (exists (@list @t35) (and (tptp.aElement0 @t35) (tptp.sdteqdtlpzmzozddtrp0 @t35 @t15 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t35 @t33 @t5))))))))) % 0.38/0.77 (assume @p29 (forall @t3 (=> @t46 true))) % 0.38/0.77 (assume @p30 (forall @t3 (=> (and @t2 (not @t24)) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 @t1))))) % 0.38/0.77 (assume @p31 (forall @t10 (=> (and @t46 (tptp.aNaturalNumber0 @t5)) (=> (tptp.iLess0 @t1 @t5) true)))) % 0.38/0.77 (assume @p32 (forall @t10 (=> (and @t2 @t8 (not @t23)) (exists @t45 (and @t17 @t44 (= @t1 (tptp.sdtpldt0 @t41 @t33)) (=> (not (= @t33 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t33) (tptp.sbrdtbr0 @t5)))))))) % 0.38/0.77 (assume @p33 (forall @t10 (=> @t9 (= (tptp.doDivides0 @t1 @t5) (exists @t30 (and @t17 (= @t21 @t5))))))) % 0.38/0.77 (assume @p34 (forall @t3 (=> @t2 (forall @t27 (= (tptp.aDivisorOf0 @t5 @t1) (and @t8 (tptp.doDivides0 @t5 @t1))))))) % 0.38/0.77 (assume @p35 (forall @t10 (=> @t9 (forall @t30 (= (tptp.aGcdOfAnd0 @t15 @t1 @t5) (and (tptp.aDivisorOf0 @t15 @t1) (tptp.aDivisorOf0 @t15 @t5) (forall @t37 (=> (and (tptp.aDivisorOf0 @t33 @t1) (tptp.aDivisorOf0 @t33 @t5)) (tptp.doDivides0 @t33 @t15))))))))) % 0.38/0.77 (assume @p36 (forall @t10 (=> @t9 (= (tptp.misRelativelyPrime0 @t1 @t5) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t5))))) % 0.38/0.77 (assume @p37 (forall @t3 (=> @t2 (forall @t27 (= (= @t5 (tptp.slsdtgt0 @t1)) (and @t31 (forall @t30 (= @t29 (exists @t37 (and @t44 (= (tptp.sdtasdt0 @t1 @t33) @t15))))))))))) % 0.38/0.77 (assume @p38 (tptp.aElement0 tptp.xc)) % 0.38/0.77 (assume @p39 (and (exists @t3 (and @t2 (= @t49 tptp.xx))) (tptp.aElementOf0 tptp.xx @t48) (exists @t3 (and @t2 (= @t49 tptp.xy))) (tptp.aElementOf0 tptp.xy @t48) @t47)) % 0.38/0.77 (assume @p40 (and @t50 (= (tptp.sdtasdt0 tptp.xc tptp.xu) tptp.xx))) % 0.38/0.77 (assume @p41 (and @t51 (= (tptp.sdtasdt0 tptp.xc tptp.xv) tptp.xy))) % 0.38/0.77 (assume @p42 @t55) % 0.38/0.77 (assume @p43 @t59) % 0.38/0.77 (assume @p44 @t71) % 0.38/0.77 (assume @p45 true) % 0.38/0.77 (step @p46 :rule aci_norm :args ((= (or @t74 @t13) (or @t73 @t72 @t13)))) % 0.38/0.77 (step @p47 :rule refl :args (@t13)) % 0.38/0.77 (step @p48 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 0.38/0.77 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t75 @t13))) % 0.38/0.77 (step @p50 :rule trans :premises (@p49 @p46)) % 0.38/0.77 (step @p51 :rule bool-impl-elim :args (@t9 @t13)) % 0.38/0.77 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.77 (step @p53 :rule cong :premises (@p52) :args (@t14)) % 0.38/0.77 (step @p54 :rule eq_resolve :premises (@p6 @p53)) % 0.38/0.77 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.xu tptp.xz))) % 0.38/0.77 (step @p56 :rule and_elim :premises (@p40) :args (0)) % 0.38/0.77 (step @p57 :rule and_elim :premises (@p39) :args (4)) % 0.38/0.77 (step @p58 :rule cnf_or_pos :args (@t79)) % 0.38/0.77 (step @p59 :rule reordering :premises (@p58) :args ((or @t77 @t78 @t76 (not @t79)))) % 0.38/0.77 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56 @p55) :args (@t76 @t80 (@list @t47 @t50 @t79))) % 0.38/0.77 (step @p61 :rule cnf_or_pos :args (@t83)) % 0.38/0.77 (step @p62 :rule reordering :premises (@p61) :args ((or @t81 @t82 @t84))) % 0.38/0.77 (step @p63 :rule chain_m_resolution :premises (@p62 @p43 @p60) :args (@t84 @t85 (@list @t59 @t76))) % 0.38/0.77 (step @p64 :rule eq-symm :args (@t57 @t58)) % 0.38/0.77 (step @p65 :rule cong :premises (@p64) :args (@t86)) % 0.38/0.77 (step @p66 :rule refl :args (@t82)) % 0.38/0.77 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t87)) % 0.38/0.77 (step @p68 :rule refl :args (@t88)) % 0.38/0.77 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t88 @t87))) % 0.38/0.77 (assume-push @p139 @t88) % 0.38/0.77 (step @p71 :rule instantiate :premises (@p139) :args ((@list @t56))) % 0.38/0.77 (step-pop @p140 :rule scope :premises (@p71)) % 0.38/0.77 (step @p72 :rule process_scope :premises (@p140) :args (@t87)) % 0.38/0.77 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.38/0.77 (step @p75 :rule implies_elim :premises (@p74)) % 0.38/0.77 (step @p76 :rule chain_m_resolution :premises (@p75 @p63) :args (@t89 @t90 (@list @t83))) % 0.38/0.77 (step @p77 :rule bool-double-not-elim :args (@t88)) % 0.38/0.77 (step @p78 :rule refl :args (@t91)) % 0.38/0.77 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t91 (not @t89)))) % 0.38/0.77 (step @p80 :rule cnf_or_neg :args (@t91 0)) % 0.38/0.77 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.38/0.77 (step @p82 :rule reordering :premises (@p81) :args ((or @t88 @t91))) % 0.38/0.77 (step @p83 :rule chain_m_resolution :premises (@p82 @p76) :args (@t91 @t90 (@list @t88))) % 0.38/0.77 (step @p84 :rule refl :args (@t60)) % 0.38/0.77 (step @p85 :rule bool-and-de-morgan :args (@t2 @t61 true)) % 0.38/0.77 (step @p86 :rule cong :premises (@p85) :args (@t92)) % 0.38/0.77 (step @p87 :rule cong :premises (@p86) :args (@t93)) % 0.38/0.77 (step @p88 :rule exists-elim :args ((= @t63 @t93))) % 0.38/0.77 (step @p89 :rule trans :premises (@p88 @p87)) % 0.38/0.77 (step @p90 :rule nary_cong :premises (@p89 @p84) :args (@t64)) % 0.38/0.77 (step @p91 :rule refl :args (@t65)) % 0.38/0.77 (step @p92 :rule bool-and-de-morgan :args (@t2 @t66 true)) % 0.38/0.77 (step @p93 :rule cong :premises (@p92) :args (@t94)) % 0.38/0.77 (step @p94 :rule cong :premises (@p93) :args (@t95)) % 0.38/0.77 (step @p95 :rule exists-elim :args ((= @t68 @t95))) % 0.38/0.77 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.77 (step @p97 :rule nary_cong :premises (@p96 @p91) :args (@t69)) % 0.38/0.77 (step @p98 :rule nary_cong :premises (@p97 @p90) :args (@t70)) % 0.38/0.77 (step @p99 :rule cong :premises (@p98) :args (@t71)) % 0.38/0.77 (step @p100 :rule eq_resolve :premises (@p44 @p99)) % 0.38/0.77 (step @p101 :rule not_and :premises (@p100)) % 0.38/0.77 (step @p102 :rule chain_m_resolution :premises (@p101 @p83) :args ((not @t98) (@list false) (@list @t91))) % 0.38/0.77 (step @p103 :rule bool-double-not-elim :args (@t96)) % 0.38/0.77 (step @p104 :rule refl :args (@t98)) % 0.38/0.77 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t98 (not @t97)))) % 0.38/0.77 (step @p106 :rule cnf_or_neg :args (@t98 0)) % 0.38/0.77 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.38/0.77 (step @p108 :rule reordering :premises (@p107) :args ((or @t96 @t98))) % 0.38/0.77 (step @p109 :rule chain_m_resolution :premises (@p108 @p102) :args (@t96 @t90 (@list @t98))) % 0.38/0.77 (step @p110 :rule aci_norm :args ((= (or @t74 @t7) (or @t73 @t72 @t7)))) % 0.38/0.77 (step @p111 :rule refl :args (@t7)) % 0.38/0.77 (step @p112 :rule nary_cong :premises (@p48 @p111) :args ((or @t75 @t7))) % 0.38/0.77 (step @p113 :rule trans :premises (@p112 @p110)) % 0.38/0.77 (step @p114 :rule bool-impl-elim :args (@t9 @t7)) % 0.38/0.77 (step @p115 :rule trans :premises (@p114 @p113)) % 0.38/0.77 (step @p116 :rule cong :premises (@p115) :args (@t11)) % 0.38/0.77 (step @p117 :rule eq_resolve :premises (@p5 @p116)) % 0.38/0.77 (step @p118 :rule instantiate :premises (@p117) :args ((@list tptp.xu tptp.xv))) % 0.38/0.77 (step @p119 :rule and_elim :premises (@p41) :args (0)) % 0.38/0.77 (step @p120 :rule cnf_or_pos :args (@t101)) % 0.38/0.77 (step @p121 :rule reordering :premises (@p120) :args ((or @t78 @t100 @t99 (not @t101)))) % 0.38/0.77 (step @p122 :rule chain_m_resolution :premises (@p121 @p56 @p119 @p118) :args (@t99 @t80 (@list @t50 @t51 @t101))) % 0.38/0.77 (step @p123 :rule cnf_or_pos :args (@t104)) % 0.38/0.77 (step @p124 :rule reordering :premises (@p123) :args ((or @t102 @t103 @t105))) % 0.38/0.77 (step @p125 :rule chain_m_resolution :premises (@p124 @p42 @p122) :args (@t105 @t85 (@list @t55 @t99))) % 0.38/0.77 (step @p126 :rule eq-symm :args (@t53 @t54)) % 0.38/0.77 (step @p127 :rule cong :premises (@p126) :args (@t106)) % 0.38/0.77 (step @p128 :rule refl :args (@t103)) % 0.38/0.77 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t107)) % 0.38/0.77 (step @p130 :rule refl :args (@t96)) % 0.38/0.77 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t96 @t107))) % 0.38/0.77 (assume-push @p141 @t96) % 0.38/0.77 (step @p133 :rule instantiate :premises (@p141) :args ((@list @t52))) % 0.38/0.77 (step-pop @p142 :rule scope :premises (@p133)) % 0.38/0.77 (step @p134 :rule process_scope :premises (@p142) :args (@t107)) % 0.38/0.77 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.38/0.77 (step @p137 :rule implies_elim :premises (@p136)) % 0.38/0.77 (step @p138 false :rule chain_m_resolution :premises (@p137 @p125 @p109) :args (false (@list true false) (@list @t104 @t96))) % 0.38/0.77 ) % 0.38/0.77 % SZS output end Proof % 0.38/0.78 % cvc5 exiting %------------------------------------------------------------------------------