%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG050+1 : 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 : 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 08:45:30 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG050+1 : 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 : n023.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 14:04:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.xs $$unsorted) % 0.39/0.59 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.sz0z00 $$unsorted) % 0.39/0.59 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.sz00 $$unsorted) % 0.39/0.59 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.39/0.59 (define @t1 () (@var "W0" $$unsorted)) % 0.39/0.59 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.39/0.59 (define @t3 () (@list @t1)) % 0.39/0.59 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.39/0.59 (define @t5 () (@var "W1" $$unsorted)) % 0.39/0.59 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.39/0.59 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.39/0.59 (define @t8 () (@list @t5)) % 0.39/0.59 (define @t9 () (= @t1 @t5)) % 0.39/0.59 (define @t10 () (and @t2 @t7)) % 0.39/0.59 (define @t11 () (@list @t1 @t5)) % 0.39/0.59 (define @t12 () (tptp.aScalar0 @t1)) % 0.39/0.59 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 0.39/0.59 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 0.39/0.59 (define @t15 () (tptp.aScalar0 @t5)) % 0.39/0.59 (define @t16 () (and @t12 @t15)) % 0.39/0.59 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 0.39/0.59 (define @t18 () (tptp.smndt0 @t1)) % 0.39/0.59 (define @t19 () (@var "W2" $$unsorted)) % 0.39/0.59 (define @t20 () (tptp.sdtasdt0 @t5 @t19)) % 0.39/0.59 (define @t21 () (tptp.sdtpldt0 @t5 @t19)) % 0.39/0.59 (define @t22 () (tptp.aScalar0 @t19)) % 0.39/0.59 (define @t23 () (and @t12 @t15 @t22)) % 0.39/0.59 (define @t24 () (@list @t1 @t5 @t19)) % 0.39/0.59 (define @t25 () (tptp.sdtasdt0 @t1 @t19)) % 0.39/0.59 (define @t26 () (@var "W3" $$unsorted)) % 0.39/0.59 (define @t27 () (tptp.sdtasdt0 @t5 @t26)) % 0.39/0.59 (define @t28 () (and @t12 @t15 @t22 (tptp.aScalar0 @t26))) % 0.39/0.59 (define @t29 () (@list @t1 @t5 @t19 @t26)) % 0.39/0.59 (define @t30 () (tptp.smndt0 @t17)) % 0.39/0.59 (define @t31 () (tptp.smndt0 @t5)) % 0.39/0.59 (define @t32 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.39/0.59 (define @t33 () (tptp.sdtlseqdt0 @t1 @t1)) % 0.39/0.59 (define @t34 () (forall @t3 (=> @t12 @t33))) % 0.39/0.59 (define @t35 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.39/0.59 (define @t36 () (tptp.sdtlseqdt0 @t19 @t26)) % 0.39/0.59 (define @t37 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.39/0.59 (define @t38 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.39/0.59 (define @t39 () (tptp.sdtasdt0 @t1 @t1)) % 0.39/0.59 (define @t40 () (tptp.aVector0 @t1)) % 0.39/0.59 (define @t41 () (tptp.aDimensionOf0 @t1)) % 0.39/0.59 (define @t42 () (tptp.aDimensionOf0 @t5)) % 0.39/0.59 (define @t43 () (tptp.aVector0 @t5)) % 0.39/0.59 (define @t44 () (tptp.sziznziztdt0 @t1)) % 0.39/0.59 (define @t45 () (tptp.sziznziztdt0 @t5)) % 0.39/0.59 (define @t46 () (= @t42 tptp.sz00)) % 0.39/0.59 (define @t47 () (= @t41 @t42)) % 0.39/0.59 (define @t48 () (and @t47 (not @t46))) % 0.39/0.59 (define @t49 () (and @t40 @t43)) % 0.39/0.59 (define @t50 () (tptp.sdtasasdt0 @t1 @t5)) % 0.39/0.59 (define @t51 () (and @t47 @t46)) % 0.39/0.59 (define @t52 () (=> @t51 (= @t50 tptp.sz0z00))) % 0.39/0.59 (define @t53 () (=> @t49 @t52)) % 0.39/0.59 (define @t54 () (forall @t11 @t53)) % 0.39/0.59 (define @t55 () (tptp.aVector0 tptp.xs)) % 0.39/0.59 (define @t56 () (tptp.aDimensionOf0 tptp.xs)) % 0.39/0.59 (define @t57 () (tptp.sdtasasdt0 tptp.xs tptp.xs)) % 0.39/0.59 (define @t58 () (tptp.sdtlseqdt0 tptp.sz0z00 @t57)) % 0.39/0.59 (define @t59 () (not (= @t56 tptp.sz00))) % 0.39/0.59 (define @t60 () (=> @t59 @t58)) % 0.39/0.59 (define @t61 () (=> @t60 @t58)) % 0.39/0.59 (define @t62 () (not @t61)) % 0.39/0.59 (define @t63 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) % 0.39/0.59 (define @t64 () (not @t13)) % 0.39/0.59 (define @t65 () (or @t64 @t63)) % 0.39/0.59 (define @t66 () (= tptp.sz0z00 @t50)) % 0.39/0.59 (define @t67 () (= tptp.sz00 @t42)) % 0.39/0.59 (define @t68 () (not @t67)) % 0.39/0.59 (define @t69 () (not @t47)) % 0.39/0.59 (define @t70 () (not @t43)) % 0.39/0.59 (define @t71 () (not @t40)) % 0.39/0.59 (define @t72 () (or @t71 @t70 @t69 @t68 @t66)) % 0.39/0.59 (define @t73 () (or @t69 @t68 @t66)) % 0.39/0.59 (define @t74 () (and @t47 @t67)) % 0.39/0.59 (define @t75 () (=> @t74 @t66)) % 0.39/0.59 (define @t76 () (= tptp.sz0z00 @t57)) % 0.39/0.59 (define @t77 () (= tptp.sz00 @t56)) % 0.39/0.59 (define @t78 () (not @t77)) % 0.39/0.59 (define @t79 () (not @t55)) % 0.39/0.59 (define @t80 () (or @t79 @t78 @t76)) % 0.39/0.59 (define @t81 () (not (= @t56 @t56))) % 0.39/0.59 (define @t82 () (or @t79 @t79 @t81 @t78 @t76)) % 0.39/0.59 (define @t83 () (forall @t11 @t72)) % 0.39/0.59 (assume @p1 (forall @t3 (=> @t2 true))) % 0.39/0.59 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.39/0.59 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.39/0.59 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.39/0.59 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.39/0.59 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.39/0.59 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.39/0.59 (assume @p8 (forall @t3 (=> @t12 true))) % 0.39/0.59 (assume @p9 @t13) % 0.39/0.59 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 0.39/0.59 (assume @p11 (forall @t11 (=> @t16 (tptp.aScalar0 @t17)))) % 0.39/0.59 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t18)))) % 0.39/0.59 (assume @p13 (forall @t3 (=> @t12 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t18) tptp.sz0z00) (= (tptp.sdtpldt0 @t18 @t1) tptp.sz0z00) (= (tptp.smndt0 @t18) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.39/0.59 (assume @p14 (forall @t24 (=> @t23 (and (= (tptp.sdtpldt0 @t14 @t19) (tptp.sdtpldt0 @t1 @t21)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t19) (tptp.sdtasdt0 @t1 @t20)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))))) % 0.39/0.59 (assume @p15 (forall @t24 (=> @t23 (and (= (tptp.sdtasdt0 @t1 @t21) (tptp.sdtpldt0 @t17 @t25)) (= (tptp.sdtasdt0 @t14 @t19) (tptp.sdtpldt0 @t25 @t20)))))) % 0.39/0.59 (assume @p16 (forall @t29 (=> @t28 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t19 @t26)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t25 (tptp.sdtasdt0 @t1 @t26)) (tptp.sdtpldt0 @t20 @t27)))))) % 0.39/0.59 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t31) @t30) (= (tptp.sdtasdt0 @t18 @t5) @t30))))) % 0.39/0.59 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t18 @t31) @t17)))) % 0.39/0.59 (assume @p19 (forall @t11 (=> @t16 (=> @t32 true)))) % 0.39/0.59 (assume @p20 @t34) % 0.39/0.59 (assume @p21 (forall @t11 (=> @t16 (=> (and @t32 @t35) @t9)))) % 0.39/0.59 (assume @p22 (forall @t24 (=> @t23 (=> (and @t32 (tptp.sdtlseqdt0 @t5 @t19)) (tptp.sdtlseqdt0 @t1 @t19))))) % 0.39/0.59 (assume @p23 (forall @t29 (=> @t28 (=> (and @t32 @t36) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t19) (tptp.sdtpldt0 @t5 @t26)))))) % 0.39/0.59 (assume @p24 (forall @t29 (=> @t28 (=> (and @t32 (tptp.sdtlseqdt0 tptp.sz0z00 @t19) @t36) (tptp.sdtlseqdt0 @t25 @t27))))) % 0.39/0.59 (assume @p25 (forall @t11 (=> @t16 (or @t32 @t35)))) % 0.39/0.59 (assume @p26 (forall @t11 (=> @t16 (=> (and @t38 @t37) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17)))))) % 0.39/0.59 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t39)))) % 0.39/0.59 (assume @p28 (forall @t11 (=> @t16 (=> (and @t38 @t37 (= @t39 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.39/0.59 (assume @p29 (forall @t3 (=> @t40 true))) % 0.39/0.59 (assume @p30 (forall @t3 (=> @t40 (tptp.aNaturalNumber0 @t41)))) % 0.39/0.59 (assume @p31 (forall @t11 (=> (and @t40 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.39/0.59 (assume @p32 (forall @t3 (=> @t40 (=> (not (= @t41 tptp.sz00)) (forall @t8 (= (= @t5 @t44) (and @t43 (= (tptp.szszuzczcdt0 @t42) @t41) (forall (@list @t19) (=> (tptp.aNaturalNumber0 @t19) (= (tptp.sdtlbdtrb0 @t5 @t19) (tptp.sdtlbdtrb0 @t1 @t19))))))))))) % 0.39/0.59 (assume @p33 (forall @t11 (=> @t49 (=> @t48 (= (tptp.aDimensionOf0 @t44) (tptp.aDimensionOf0 @t45)))))) % 0.39/0.59 (assume @p34 (forall @t11 (=> @t49 (=> @t47 (tptp.aScalar0 @t50))))) % 0.39/0.59 (assume @p35 @t54) % 0.39/0.59 (assume @p36 (forall @t11 (=> @t49 (=> @t48 (= @t50 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t44 @t45) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t41) (tptp.sdtlbdtrb0 @t5 @t42)))))))) % 0.39/0.59 (assume @p37 @t55) % 0.39/0.59 (assume @p38 (forall @t3 (=> @t40 (=> (tptp.iLess0 @t41 @t56) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 @t1 @t1)))))) % 0.39/0.59 (assume @p39 @t62) % 0.39/0.59 (assume @p40 true) % 0.39/0.59 (step @p41 :rule evaluate :args ((= false true))) % 0.39/0.59 (step @p42 :rule bool-impl-elim :args (@t12 @t33)) % 0.39/0.59 (step @p43 :rule cong :premises (@p42) :args (@t34)) % 0.39/0.59 (step @p44 :rule eq_resolve :premises (@p20 @p43)) % 0.39/0.59 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.sz0z00))) % 0.39/0.59 (step @p46 :rule cnf_or_pos :args (@t65)) % 0.39/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t64 @t63 (not @t65)))) % 0.39/0.59 (step @p48 :rule chain_m_resolution :premises (@p47 @p9 @p45) :args (@t63 (@list false false) (@list @t13 @t65))) % 0.39/0.59 (step @p49 :rule true_intro :premises (@p48)) % 0.39/0.59 (step @p50 :rule aci_norm :args ((= (or (or @t71 @t70) @t73) @t72))) % 0.39/0.59 (step @p51 :rule aci_norm :args ((= (or (or @t69 @t68) @t66) @t73))) % 0.39/0.59 (step @p52 :rule refl :args (@t66)) % 0.39/0.59 (step @p53 :rule bool-and-de-morgan :args (@t47 @t67 true)) % 0.39/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t74) @t66))) % 0.39/0.59 (step @p55 :rule trans :premises (@p54 @p51)) % 0.39/0.59 (step @p56 :rule bool-impl-elim :args (@t74 @t66)) % 0.39/0.59 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.59 (step @p58 :rule bool-and-de-morgan :args (@t40 @t43 true)) % 0.39/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t49) @t75))) % 0.39/0.59 (step @p60 :rule trans :premises (@p59 @p50)) % 0.39/0.59 (step @p61 :rule bool-impl-elim :args (@t49 @t75)) % 0.39/0.59 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.59 (step @p63 :rule cong :premises (@p62) :args ((forall @t11 (=> @t49 @t75)))) % 0.39/0.59 (step @p64 :rule eq-symm :args (@t50 tptp.sz0z00)) % 0.39/0.59 (step @p65 :rule eq-symm :args (@t42 tptp.sz00)) % 0.39/0.59 (step @p66 :rule refl :args (@t47)) % 0.39/0.59 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t51)) % 0.39/0.59 (step @p68 :rule cong :premises (@p67 @p64) :args (@t52)) % 0.39/0.59 (step @p69 :rule refl :args (@t49)) % 0.39/0.59 (step @p70 :rule cong :premises (@p69 @p68) :args (@t53)) % 0.39/0.59 (step @p71 :rule cong :premises (@p70) :args (@t54)) % 0.39/0.59 (step @p72 :rule trans :premises (@p71 @p63)) % 0.39/0.59 (step @p73 :rule eq_resolve :premises (@p35 @p72)) % 0.39/0.59 (step @p74 :rule aci_norm :args ((= (or @t79 @t79 false @t78 @t76) @t80))) % 0.39/0.59 (step @p75 :rule refl :args (@t76)) % 0.39/0.59 (step @p76 :rule refl :args (@t78)) % 0.39/0.59 (step @p77 :rule evaluate :args ((not true))) % 0.39/0.59 (step @p78 :rule eq-refl :args (@t56)) % 0.39/0.59 (step @p79 :rule cong :premises (@p78) :args (@t81)) % 0.39/0.59 (step @p80 :rule trans :premises (@p79 @p77)) % 0.39/0.59 (step @p81 :rule refl :args (@t79)) % 0.39/0.59 (step @p82 :rule nary_cong :premises (@p81 @p81 @p80 @p76 @p75) :args (@t82)) % 0.39/0.59 (step @p83 :rule trans :premises (@p82 @p74)) % 0.39/0.59 (step @p84 :rule refl :args (@t83)) % 0.39/0.59 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t83 @t82))) % 0.39/0.59 (assume-push @p118 @t83) % 0.39/0.59 (step @p87 :rule instantiate :premises (@p73) :args ((@list tptp.xs tptp.xs))) % 0.39/0.59 (step-pop @p119 :rule scope :premises (@p87)) % 0.39/0.59 (step @p88 :rule process_scope :premises (@p119) :args (@t82)) % 0.39/0.59 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.39/0.59 (step @p91 :rule implies_elim :premises (@p90)) % 0.39/0.59 (step @p92 :rule chain_m_resolution :premises (@p91 @p73) :args (@t80 (@list false) (@list @t83))) % 0.39/0.59 (step @p93 :rule refl :args (@t58)) % 0.39/0.59 (step @p94 :rule eq-symm :args (@t56 tptp.sz00)) % 0.39/0.59 (step @p95 :rule cong :premises (@p94) :args (@t59)) % 0.39/0.59 (step @p96 :rule cong :premises (@p95 @p93) :args (@t60)) % 0.39/0.59 (step @p97 :rule cong :premises (@p96 @p93) :args (@t61)) % 0.39/0.59 (step @p98 :rule cong :premises (@p97) :args (@t62)) % 0.39/0.59 (step @p99 :rule eq_resolve :premises (@p39 @p98)) % 0.39/0.59 (step @p100 :rule not_implies_elim2 :premises (@p99)) % 0.39/0.59 (step @p101 :rule bool-double-not-elim :args (@t77)) % 0.39/0.59 (step @p102 :rule nary_cong :premises (@p101 @p93) :args ((or (not @t78) @t58))) % 0.39/0.59 (step @p103 :rule not_implies_elim1 :premises (@p99)) % 0.39/0.59 (step @p104 :rule implies_elim :premises (@p103)) % 0.39/0.59 (step @p105 :rule eq_resolve :premises (@p104 @p102)) % 0.39/0.59 (step @p106 :rule reordering :premises (@p105) :args ((or @t58 @t77))) % 0.39/0.59 (step @p107 :rule chain_m_resolution :premises (@p106 @p100) :args (@t77 (@list true) (@list @t58))) % 0.39/0.59 (step @p108 :rule cnf_or_pos :args (@t80)) % 0.39/0.59 (step @p109 :rule reordering :premises (@p108) :args ((or @t78 @t79 @t76 (not @t80)))) % 0.39/0.59 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p37 @p92) :args (@t76 (@list false false false) (@list @t77 @t55 @t80))) % 0.39/0.59 (step @p111 :rule symm :premises (@p110)) % 0.39/0.59 (step @p112 :rule refl :args (tptp.sz0z00)) % 0.39/0.59 (step @p113 :rule cong :premises (@p112 @p111) :args (@t58)) % 0.39/0.59 (step @p114 :rule false_intro :premises (@p100)) % 0.39/0.59 (step @p115 :rule symm :premises (@p114)) % 0.39/0.59 (step @p116 :rule trans :premises (@p115 @p113 @p49)) % 0.39/0.59 (step @p117 false :rule eq_resolve :premises (@p116 @p41)) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------