%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG104+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 : n026.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 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG104+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 % 0.17/0.34 % Computer : n026.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 14:07:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.xv $$unsorted) % 0.36/0.61 (declare-const tptp.xu $$unsorted) % 0.36/0.61 (declare-const tptp.xx $$unsorted) % 0.36/0.61 (declare-const tptp.xy $$unsorted) % 0.36/0.61 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sz00 $$unsorted) % 0.36/0.61 (declare-const tptp.sz10 $$unsorted) % 0.36/0.61 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.xc $$unsorted) % 0.36/0.61 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.xz $$unsorted) % 0.36/0.61 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.36/0.61 (define @t1 () (@var "W0" $$unsorted)) % 0.36/0.61 (define @t2 () (tptp.aElement0 @t1)) % 0.36/0.61 (define @t3 () (@list @t1)) % 0.36/0.61 (define @t4 () (tptp.smndt0 @t1)) % 0.36/0.61 (define @t5 () (@var "W1" $$unsorted)) % 0.36/0.61 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.36/0.61 (define @t7 () (tptp.aElement0 @t5)) % 0.36/0.61 (define @t8 () (and @t2 @t7)) % 0.36/0.61 (define @t9 () (@list @t1 @t5)) % 0.36/0.61 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.36/0.61 (define @t11 () (tptp.aElement0 @t10)) % 0.36/0.61 (define @t12 () (forall @t9 (=> @t8 @t11))) % 0.36/0.61 (define @t13 () (@var "W2" $$unsorted)) % 0.36/0.61 (define @t14 () (tptp.sdtpldt0 @t5 @t13)) % 0.36/0.61 (define @t15 () (tptp.aElement0 @t13)) % 0.36/0.61 (define @t16 () (and @t2 @t7 @t15)) % 0.36/0.61 (define @t17 () (@list @t1 @t5 @t13)) % 0.36/0.61 (define @t18 () (tptp.sdtasdt0 @t5 @t1)) % 0.36/0.61 (define @t19 () (= @t10 @t18)) % 0.36/0.61 (define @t20 () (forall @t9 (=> @t8 @t19))) % 0.36/0.61 (define @t21 () (= (tptp.sdtasdt0 @t10 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t13)))) % 0.36/0.61 (define @t22 () (forall @t17 (=> @t16 @t21))) % 0.36/0.61 (define @t23 () (tptp.sdtasdt0 @t1 @t13)) % 0.36/0.61 (define @t24 () (tptp.smndt0 tptp.sz10)) % 0.36/0.61 (define @t25 () (= @t5 tptp.sz00)) % 0.36/0.61 (define @t26 () (= @t1 tptp.sz00)) % 0.36/0.61 (define @t27 () (tptp.aSet0 @t1)) % 0.36/0.61 (define @t28 () (tptp.aElementOf0 @t5 @t1)) % 0.36/0.61 (define @t29 () (@list @t5)) % 0.36/0.61 (define @t30 () (tptp.aElementOf0 @t13 @t1)) % 0.36/0.61 (define @t31 () (tptp.aElementOf0 @t13 @t5)) % 0.36/0.61 (define @t32 () (@list @t13)) % 0.36/0.61 (define @t33 () (tptp.aSet0 @t5)) % 0.36/0.61 (define @t34 () (and @t27 @t33)) % 0.36/0.61 (define @t35 () (@var "W3" $$unsorted)) % 0.36/0.61 (define @t36 () (@var "W5" $$unsorted)) % 0.36/0.61 (define @t37 () (@var "W4" $$unsorted)) % 0.36/0.61 (define @t38 () (tptp.aElementOf0 @t35 @t13)) % 0.36/0.61 (define @t39 () (@list @t35)) % 0.36/0.61 (define @t40 () (tptp.aSet0 @t13)) % 0.36/0.61 (define @t41 () (tptp.sdtpldt1 @t1 @t5)) % 0.36/0.61 (define @t42 () (tptp.sdtasasdt0 @t1 @t5)) % 0.36/0.61 (define @t43 () (tptp.sdtasdt0 @t13 @t5)) % 0.36/0.61 (define @t44 () (tptp.aIdeal0 @t1)) % 0.36/0.61 (define @t45 () (and @t44 (tptp.aIdeal0 @t5))) % 0.36/0.61 (define @t46 () (tptp.aElement0 @t35)) % 0.36/0.61 (define @t47 () (@list @t13 @t35)) % 0.36/0.61 (define @t48 () (tptp.aNaturalNumber0 @t1)) % 0.36/0.61 (define @t49 () (tptp.aElement0 tptp.xc)) % 0.36/0.61 (define @t50 () (tptp.aElement0 tptp.xz)) % 0.36/0.61 (define @t51 () (tptp.slsdtgt0 tptp.xc)) % 0.36/0.61 (define @t52 () (tptp.sdtasdt0 tptp.xc @t1)) % 0.36/0.61 (define @t53 () (tptp.sdtasdt0 tptp.xc tptp.xu)) % 0.36/0.61 (define @t54 () (tptp.aElement0 tptp.xu)) % 0.36/0.61 (define @t55 () (tptp.sdtasdt0 tptp.xc (tptp.sdtasdt0 tptp.xu tptp.xz))) % 0.36/0.61 (define @t56 () (tptp.sdtasdt0 tptp.xz tptp.xx)) % 0.36/0.61 (define @t57 () (not @t7)) % 0.36/0.61 (define @t58 () (not @t2)) % 0.36/0.61 (define @t59 () (or @t58 @t57)) % 0.36/0.61 (define @t60 () (not @t8)) % 0.36/0.61 (define @t61 () (tptp.aElement0 @t53)) % 0.36/0.61 (define @t62 () (not @t54)) % 0.36/0.61 (define @t63 () (not @t49)) % 0.36/0.61 (define @t64 () (or @t63 @t62 @t61)) % 0.36/0.61 (define @t65 () (tptp.aElement0 tptp.xx)) % 0.36/0.61 (define @t66 () (not @t15)) % 0.36/0.61 (define @t67 () (or @t58 @t57 @t66 @t21)) % 0.36/0.61 (define @t68 () (or @t58 @t57 @t66)) % 0.36/0.61 (define @t69 () (tptp.sdtasdt0 @t53 tptp.xz)) % 0.36/0.61 (define @t70 () (not @t50)) % 0.36/0.61 (define @t71 () (or @t63 @t62 @t70 (= @t69 @t55))) % 0.36/0.61 (define @t72 () (forall @t17 @t67)) % 0.36/0.61 (define @t73 () (= @t55 @t69)) % 0.36/0.61 (define @t74 () (or @t63 @t62 @t70 @t73)) % 0.36/0.61 (define @t75 () (tptp.sdtasdt0 tptp.xx tptp.xz)) % 0.36/0.61 (define @t76 () (= @t56 @t75)) % 0.36/0.61 (define @t77 () (not @t65)) % 0.36/0.61 (define @t78 () (or @t70 @t77 @t76)) % 0.36/0.61 (assume @p1 (forall @t3 (=> @t2 true))) % 0.36/0.61 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.36/0.61 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.36/0.61 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.36/0.61 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 0.36/0.61 (assume @p6 @t12) % 0.36/0.61 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.36/0.61 (assume @p8 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t6 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 0.36/0.61 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.36/0.61 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.36/0.61 (assume @p11 @t20) % 0.36/0.61 (assume @p12 @t22) % 0.36/0.61 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.36/0.61 (assume @p14 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t10 @t23)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 (tptp.sdtasdt0 @t13 @t1))))))) % 0.36/0.61 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t24 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t24)))))) % 0.36/0.61 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.36/0.61 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t26 @t25))))) % 0.36/0.61 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.36/0.61 (assume @p19 (forall @t3 (=> @t27 true))) % 0.36/0.61 (assume @p20 (forall @t3 (=> @t27 (forall @t29 (=> @t28 @t7))))) % 0.36/0.61 (assume @p21 (forall @t9 (=> @t34 (=> (and (forall @t32 (=> @t30 @t31)) (forall @t32 (=> @t31 @t30))) (= @t1 @t5))))) % 0.36/0.61 (assume @p22 (forall @t9 (=> @t34 (forall @t32 (= (= @t13 @t41) (and @t40 (forall @t39 (= @t38 (exists (@list @t37 @t36) (and (tptp.aElementOf0 @t37 @t1) (tptp.aElementOf0 @t36 @t5) (= (tptp.sdtpldt0 @t37 @t36) @t35))))))))))) % 0.36/0.61 (assume @p23 (forall @t9 (=> @t34 (forall @t32 (= (= @t13 @t42) (and @t40 (forall @t39 (= @t38 (and (tptp.aElementOf0 @t35 @t1) (tptp.aElementOf0 @t35 @t5)))))))))) % 0.36/0.61 (assume @p24 (forall @t3 (= @t44 (and @t27 (forall @t29 (=> @t28 (and (forall @t32 (=> @t30 (tptp.aElementOf0 @t14 @t1))) (forall @t32 (=> @t15 (tptp.aElementOf0 @t43 @t1)))))))))) % 0.36/0.61 (assume @p25 (forall @t9 (=> @t45 (tptp.aIdeal0 @t41)))) % 0.36/0.61 (assume @p26 (forall @t9 (=> @t45 (tptp.aIdeal0 @t42)))) % 0.36/0.61 (assume @p27 (forall @t17 (=> (and @t2 @t7 (tptp.aIdeal0 @t13)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t13) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t13))))) % 0.36/0.61 (assume @p28 (forall @t9 (=> @t45 (=> (forall @t32 (=> @t15 (tptp.aElementOf0 @t13 @t41))) (forall @t47 (=> (and @t15 @t46) (exists (@list @t37) (and (tptp.aElement0 @t37) (tptp.sdteqdtlpzmzozddtrp0 @t37 @t13 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t37 @t35 @t5))))))))) % 0.36/0.61 (assume @p29 (forall @t3 (=> @t48 true))) % 0.36/0.61 (assume @p30 (forall @t3 (=> (and @t2 (not @t26)) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 @t1))))) % 0.36/0.61 (assume @p31 (forall @t9 (=> (and @t48 (tptp.aNaturalNumber0 @t5)) (=> (tptp.iLess0 @t1 @t5) true)))) % 0.36/0.61 (assume @p32 (forall @t9 (=> (and @t2 @t7 (not @t25)) (exists @t47 (and @t15 @t46 (= @t1 (tptp.sdtpldt0 @t43 @t35)) (=> (not (= @t35 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t35) (tptp.sbrdtbr0 @t5)))))))) % 0.36/0.61 (assume @p33 (forall @t9 (=> @t8 (= (tptp.doDivides0 @t1 @t5) (exists @t32 (and @t15 (= @t23 @t5))))))) % 0.36/0.61 (assume @p34 (forall @t3 (=> @t2 (forall @t29 (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 (tptp.doDivides0 @t5 @t1))))))) % 0.36/0.61 (assume @p35 (forall @t9 (=> @t8 (forall @t32 (= (tptp.aGcdOfAnd0 @t13 @t1 @t5) (and (tptp.aDivisorOf0 @t13 @t1) (tptp.aDivisorOf0 @t13 @t5) (forall @t39 (=> (and (tptp.aDivisorOf0 @t35 @t1) (tptp.aDivisorOf0 @t35 @t5)) (tptp.doDivides0 @t35 @t13))))))))) % 0.36/0.61 (assume @p36 (forall @t9 (=> @t8 (= (tptp.misRelativelyPrime0 @t1 @t5) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t5))))) % 0.36/0.61 (assume @p37 (forall @t3 (=> @t2 (forall @t29 (= (= @t5 (tptp.slsdtgt0 @t1)) (and @t33 (forall @t32 (= @t31 (exists @t39 (and @t46 (= (tptp.sdtasdt0 @t1 @t35) @t13))))))))))) % 0.36/0.61 (assume @p38 @t49) % 0.36/0.61 (assume @p39 (and (exists @t3 (and @t2 (= @t52 tptp.xx))) (tptp.aElementOf0 tptp.xx @t51) (exists @t3 (and @t2 (= @t52 tptp.xy))) (tptp.aElementOf0 tptp.xy @t51) @t50)) % 0.36/0.61 (assume @p40 (and @t54 (= @t53 tptp.xx))) % 0.36/0.61 (assume @p41 (and (tptp.aElement0 tptp.xv) (= (tptp.sdtasdt0 tptp.xc tptp.xv) tptp.xy))) % 0.36/0.61 (assume @p42 (= (tptp.sdtpldt0 tptp.xx tptp.xy) (tptp.sdtasdt0 tptp.xc (tptp.sdtpldt0 tptp.xu tptp.xv)))) % 0.36/0.61 (assume @p43 (not (= @t56 @t55))) % 0.36/0.61 (assume @p44 true) % 0.36/0.61 (step @p45 :rule and_elim :premises (@p39) :args (4)) % 0.36/0.61 (step @p46 :rule aci_norm :args ((= (or @t59 @t19) (or @t58 @t57 @t19)))) % 0.36/0.61 (step @p47 :rule refl :args (@t19)) % 0.36/0.61 (step @p48 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.36/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t60 @t19))) % 0.36/0.61 (step @p50 :rule trans :premises (@p49 @p46)) % 0.36/0.61 (step @p51 :rule bool-impl-elim :args (@t8 @t19)) % 0.36/0.61 (step @p52 :rule trans :premises (@p51 @p50)) % 0.36/0.61 (step @p53 :rule cong :premises (@p52) :args (@t20)) % 0.36/0.61 (step @p54 :rule eq_resolve :premises (@p11 @p53)) % 0.36/0.61 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.xz tptp.xx))) % 0.36/0.61 (step @p56 :rule aci_norm :args ((= (or @t59 @t11) (or @t58 @t57 @t11)))) % 0.36/0.61 (step @p57 :rule refl :args (@t11)) % 0.36/0.61 (step @p58 :rule nary_cong :premises (@p48 @p57) :args ((or @t60 @t11))) % 0.36/0.61 (step @p59 :rule trans :premises (@p58 @p56)) % 0.36/0.61 (step @p60 :rule bool-impl-elim :args (@t8 @t11)) % 0.36/0.61 (step @p61 :rule trans :premises (@p60 @p59)) % 0.36/0.61 (step @p62 :rule cong :premises (@p61) :args (@t12)) % 0.36/0.61 (step @p63 :rule eq_resolve :premises (@p6 @p62)) % 0.36/0.61 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.xc tptp.xu))) % 0.36/0.61 (step @p65 :rule and_elim :premises (@p40) :args (0)) % 0.36/0.61 (step @p66 :rule cnf_or_pos :args (@t64)) % 0.36/0.61 (step @p67 :rule reordering :premises (@p66) :args ((or @t63 @t62 @t61 (not @t64)))) % 0.36/0.61 (step @p68 :rule chain_m_resolution :premises (@p67 @p38 @p65 @p64) :args (@t61 (@list false false false) (@list @t49 @t54 @t64))) % 0.36/0.61 (step @p69 :rule true_intro :premises (@p68)) % 0.36/0.61 (step @p70 :rule and_elim :premises (@p40) :args (1)) % 0.36/0.61 (step @p71 :rule symm :premises (@p70)) % 0.36/0.61 (step @p72 :rule cong :premises (@p71) :args (@t65)) % 0.36/0.61 (step @p73 :rule trans :premises (@p72 @p69)) % 0.36/0.61 (step @p74 :rule true_elim :premises (@p73)) % 0.36/0.61 (step @p75 :rule false_intro :premises (@p43)) % 0.36/0.61 (step @p76 :rule aci_norm :args ((= (or @t68 @t21) @t67))) % 0.36/0.61 (step @p77 :rule refl :args (@t21)) % 0.36/0.61 (step @p78 :rule aci_norm :args ((= (or @t58 (or @t57 @t66)) @t68))) % 0.36/0.61 (step @p79 :rule bool-and-de-morgan :args (@t7 @t15 true)) % 0.36/0.61 (step @p80 :rule refl :args (@t58)) % 0.36/0.61 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t58 (not (and @t7 @t15))))) % 0.36/0.61 (step @p82 :rule bool-and-de-morgan :args (@t2 @t7 (and @t15))) % 0.36/0.61 (step @p83 :rule trans :premises (@p82 @p81)) % 0.36/0.61 (step @p84 :rule trans :premises (@p83 @p78)) % 0.36/0.61 (step @p85 :rule nary_cong :premises (@p84 @p77) :args ((or (not @t16) @t21))) % 0.36/0.61 (step @p86 :rule trans :premises (@p85 @p76)) % 0.36/0.61 (step @p87 :rule bool-impl-elim :args (@t16 @t21)) % 0.36/0.61 (step @p88 :rule trans :premises (@p87 @p86)) % 0.36/0.61 (step @p89 :rule cong :premises (@p88) :args (@t22)) % 0.36/0.61 (step @p90 :rule eq_resolve :premises (@p12 @p89)) % 0.36/0.61 (step @p91 :rule eq-symm :args (@t69 @t55)) % 0.36/0.61 (step @p92 :rule refl :args (@t70)) % 0.36/0.61 (step @p93 :rule refl :args (@t62)) % 0.36/0.61 (step @p94 :rule refl :args (@t63)) % 0.36/0.61 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91) :args (@t71)) % 0.36/0.61 (step @p96 :rule refl :args (@t72)) % 0.36/0.61 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t72 @t71))) % 0.36/0.61 (assume-push @p119 @t72) % 0.36/0.61 (step @p99 :rule instantiate :premises (@p90) :args ((@list tptp.xc tptp.xu tptp.xz))) % 0.36/0.61 (step-pop @p120 :rule scope :premises (@p99)) % 0.36/0.61 (step @p100 :rule process_scope :premises (@p120) :args (@t71)) % 0.36/0.61 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.36/0.61 (step @p103 :rule implies_elim :premises (@p102)) % 0.36/0.61 (step @p104 :rule chain_m_resolution :premises (@p103 @p90) :args (@t74 (@list false) (@list @t72))) % 0.36/0.61 (step @p105 :rule cnf_or_pos :args (@t74)) % 0.36/0.61 (step @p106 :rule reordering :premises (@p105) :args ((or @t63 @t70 @t62 @t73 (not @t74)))) % 0.36/0.61 (step @p107 :rule chain_m_resolution :premises (@p106 @p38 @p45 @p65 @p104) :args (@t73 (@list false false false false) (@list @t49 @t50 @t54 @t74))) % 0.36/0.61 (step @p108 :rule symm :premises (@p107)) % 0.36/0.61 (step @p109 :rule refl :args (tptp.xz)) % 0.36/0.61 (step @p110 :rule cong :premises (@p71 @p109) :args (@t75)) % 0.36/0.61 (step @p111 :rule trans :premises (@p110 @p108)) % 0.36/0.61 (step @p112 :rule refl :args (@t56)) % 0.36/0.61 (step @p113 :rule cong :premises (@p112 @p111) :args (@t76)) % 0.36/0.61 (step @p114 :rule trans :premises (@p113 @p75)) % 0.36/0.61 (step @p115 :rule false_elim :premises (@p114)) % 0.36/0.61 (step @p116 :rule cnf_or_pos :args (@t78)) % 0.36/0.61 (step @p117 :rule reordering :premises (@p116) :args ((or @t70 @t77 @t76 (not @t78)))) % 0.36/0.61 (step @p118 false :rule chain_m_resolution :premises (@p117 @p115 @p74 @p55 @p45) :args (false (@list true false false false) (@list @t76 @t65 @t78 @t50))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------