%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG091+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 : n016.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 08:45:38 AM UTC 2026 % Result : Theorem 0.46s 0.69s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG091+2 : 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 % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:07:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.69 % SZS status Theorem % 0.46/0.69 % SZS output start Proof % 0.46/0.69 ( % 0.46/0.69 (declare-sort $$unsorted 0) % 0.46/0.69 (declare-const tptp.xn $$unsorted) % 0.46/0.69 (declare-const tptp.xz $$unsorted) % 0.46/0.69 (declare-const tptp.xm $$unsorted) % 0.46/0.69 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.sz00 $$unsorted) % 0.46/0.69 (declare-const tptp.xx $$unsorted) % 0.46/0.69 (declare-const tptp.xI $$unsorted) % 0.46/0.69 (declare-const tptp.sz10 $$unsorted) % 0.46/0.69 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.xk $$unsorted) % 0.46/0.69 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.xy $$unsorted) % 0.46/0.69 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.xJ $$unsorted) % 0.46/0.69 (declare-const tptp.xl $$unsorted) % 0.46/0.69 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (define @t1 () (@var "W0" $$unsorted)) % 0.46/0.69 (define @t2 () (tptp.aElement0 @t1)) % 0.46/0.69 (define @t3 () (@list @t1)) % 0.46/0.69 (define @t4 () (tptp.smndt0 @t1)) % 0.46/0.69 (define @t5 () (@var "W1" $$unsorted)) % 0.46/0.69 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.46/0.69 (define @t7 () (tptp.aElement0 @t5)) % 0.46/0.69 (define @t8 () (and @t2 @t7)) % 0.46/0.69 (define @t9 () (@list @t1 @t5)) % 0.46/0.69 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.46/0.69 (define @t11 () (@var "W2" $$unsorted)) % 0.46/0.69 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 0.46/0.69 (define @t13 () (tptp.aElement0 @t11)) % 0.46/0.69 (define @t14 () (and @t2 @t7 @t13)) % 0.46/0.69 (define @t15 () (@list @t1 @t5 @t11)) % 0.46/0.69 (define @t16 () (tptp.sdtasdt0 @t5 @t1)) % 0.46/0.69 (define @t17 () (tptp.smndt0 tptp.sz10)) % 0.46/0.69 (define @t18 () (tptp.aSet0 @t1)) % 0.46/0.69 (define @t19 () (tptp.aElementOf0 @t5 @t1)) % 0.46/0.69 (define @t20 () (@list @t5)) % 0.46/0.69 (define @t21 () (tptp.aElementOf0 @t11 @t1)) % 0.46/0.69 (define @t22 () (tptp.aElementOf0 @t11 @t5)) % 0.46/0.69 (define @t23 () (@list @t11)) % 0.46/0.69 (define @t24 () (and @t18 (tptp.aSet0 @t5))) % 0.46/0.69 (define @t25 () (@var "W3" $$unsorted)) % 0.46/0.69 (define @t26 () (@var "W5" $$unsorted)) % 0.46/0.69 (define @t27 () (@var "W4" $$unsorted)) % 0.46/0.69 (define @t28 () (tptp.aElementOf0 @t25 @t11)) % 0.46/0.69 (define @t29 () (@list @t25)) % 0.46/0.69 (define @t30 () (tptp.aSet0 @t11)) % 0.46/0.69 (define @t31 () (tptp.aElementOf0 @t5 tptp.xJ)) % 0.46/0.69 (define @t32 () (tptp.aElementOf0 @t1 tptp.xI)) % 0.46/0.69 (define @t33 () (tptp.sdtpldt1 tptp.xI tptp.xJ)) % 0.46/0.69 (define @t34 () (tptp.sdtpldt0 tptp.xl tptp.xn)) % 0.46/0.69 (define @t35 () (tptp.aElementOf0 @t34 tptp.xJ)) % 0.46/0.69 (define @t36 () (tptp.sdtpldt0 tptp.xk tptp.xm)) % 0.46/0.69 (define @t37 () (tptp.aElementOf0 @t36 tptp.xI)) % 0.46/0.69 (define @t38 () (tptp.sdtasdt0 tptp.xz tptp.xl)) % 0.46/0.69 (define @t39 () (tptp.aElementOf0 @t38 tptp.xJ)) % 0.46/0.69 (define @t40 () (tptp.sdtasdt0 tptp.xz tptp.xk)) % 0.46/0.69 (define @t41 () (tptp.aElementOf0 @t40 tptp.xI)) % 0.46/0.69 (define @t42 () (tptp.sdtpldt0 @t36 @t34)) % 0.46/0.69 (define @t43 () (tptp.sdtpldt0 tptp.xx tptp.xy)) % 0.46/0.69 (define @t44 () (= @t43 @t42)) % 0.46/0.69 (define @t45 () (tptp.sdtpldt0 @t40 @t38)) % 0.46/0.69 (define @t46 () (tptp.sdtasdt0 tptp.xz tptp.xx)) % 0.46/0.69 (define @t47 () (= @t46 @t45)) % 0.46/0.69 (define @t48 () (tptp.aElementOf0 @t46 @t33)) % 0.46/0.69 (define @t49 () (= @t6 @t46)) % 0.46/0.69 (define @t50 () (and @t32 @t31 @t49)) % 0.46/0.69 (define @t51 () (exists @t9 @t50)) % 0.46/0.69 (define @t52 () (or @t51 @t48)) % 0.46/0.69 (define @t53 () (tptp.aElementOf0 @t43 @t33)) % 0.46/0.69 (define @t54 () (= @t6 @t43)) % 0.46/0.69 (define @t55 () (and @t32 @t31 @t54)) % 0.46/0.69 (define @t56 () (exists @t9 @t55)) % 0.46/0.69 (define @t57 () (or @t56 @t53)) % 0.46/0.69 (define @t58 () (and @t57 @t52)) % 0.46/0.69 (define @t59 () (not @t58)) % 0.46/0.69 (define @t60 () (not @t47)) % 0.46/0.69 (define @t61 () (not @t39)) % 0.46/0.69 (define @t62 () (not @t41)) % 0.46/0.69 (define @t63 () (or @t62 @t61 @t60)) % 0.46/0.69 (define @t64 () (not @t63)) % 0.46/0.69 (define @t65 () (@list false false false)) % 0.46/0.69 (define @t66 () (not (= @t45 @t46))) % 0.46/0.69 (define @t67 () (or @t62 @t61 @t66)) % 0.46/0.69 (define @t68 () (not @t49)) % 0.46/0.69 (define @t69 () (not @t31)) % 0.46/0.69 (define @t70 () (not @t32)) % 0.46/0.69 (define @t71 () (or @t70 @t69 @t68)) % 0.46/0.69 (define @t72 () (forall @t9 @t71)) % 0.46/0.69 (define @t73 () (not @t72)) % 0.46/0.69 (define @t74 () (@list true)) % 0.46/0.69 (define @t75 () (or @t73 @t48)) % 0.46/0.69 (define @t76 () (forall @t9 (not @t50))) % 0.46/0.69 (define @t77 () (not @t76)) % 0.46/0.69 (define @t78 () (not @t54)) % 0.46/0.69 (define @t79 () (or @t70 @t69 @t78)) % 0.46/0.69 (define @t80 () (forall @t9 (not @t55))) % 0.46/0.69 (define @t81 () (not @t80)) % 0.46/0.69 (define @t82 () (forall @t9 @t79)) % 0.46/0.69 (define @t83 () (not @t82)) % 0.46/0.69 (define @t84 () (or @t83 @t53)) % 0.46/0.69 (define @t85 () (not @t44)) % 0.46/0.69 (define @t86 () (not @t35)) % 0.46/0.69 (define @t87 () (not @t37)) % 0.46/0.69 (define @t88 () (or @t87 @t86 @t85)) % 0.46/0.69 (define @t89 () (not @t88)) % 0.46/0.69 (define @t90 () (not (= @t42 @t43))) % 0.46/0.69 (define @t91 () (or @t87 @t86 @t90)) % 0.46/0.69 (assume @p1 (forall @t3 (=> @t2 true))) % 0.46/0.69 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.46/0.69 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.46/0.69 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.46/0.69 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 0.46/0.69 (assume @p6 (forall @t9 (=> @t8 (tptp.aElement0 @t10)))) % 0.46/0.69 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.46/0.69 (assume @p8 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t6 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 0.46/0.69 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.46/0.69 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.46/0.69 (assume @p11 (forall @t9 (=> @t8 (= @t10 @t16)))) % 0.46/0.69 (assume @p12 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t10 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t11)))))) % 0.46/0.69 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.46/0.69 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 (tptp.sdtasdt0 @t1 @t11))) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 (tptp.sdtasdt0 @t11 @t1))))))) % 0.46/0.69 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t17 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t17)))))) % 0.46/0.69 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.46/0.69 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or (= @t1 tptp.sz00) (= @t5 tptp.sz00)))))) % 0.46/0.69 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.46/0.69 (assume @p19 (forall @t3 (=> @t18 true))) % 0.46/0.69 (assume @p20 (forall @t3 (=> @t18 (forall @t20 (=> @t19 @t7))))) % 0.46/0.69 (assume @p21 (forall @t9 (=> @t24 (=> (and (forall @t23 (=> @t21 @t22)) (forall @t23 (=> @t22 @t21))) (= @t1 @t5))))) % 0.46/0.69 (assume @p22 (forall @t9 (=> @t24 (forall @t23 (= (= @t11 (tptp.sdtpldt1 @t1 @t5)) (and @t30 (forall @t29 (= @t28 (exists (@list @t27 @t26) (and (tptp.aElementOf0 @t27 @t1) (tptp.aElementOf0 @t26 @t5) (= (tptp.sdtpldt0 @t27 @t26) @t25))))))))))) % 0.46/0.69 (assume @p23 (forall @t9 (=> @t24 (forall @t23 (= (= @t11 (tptp.sdtasasdt0 @t1 @t5)) (and @t30 (forall @t29 (= @t28 (and (tptp.aElementOf0 @t25 @t1) (tptp.aElementOf0 @t25 @t5)))))))))) % 0.46/0.69 (assume @p24 (forall @t3 (= (tptp.aIdeal0 @t1) (and @t18 (forall @t20 (=> @t19 (and (forall @t23 (=> @t21 (tptp.aElementOf0 @t12 @t1))) (forall @t23 (=> @t13 (tptp.aElementOf0 (tptp.sdtasdt0 @t11 @t5) @t1)))))))))) % 0.46/0.69 (assume @p25 (and (tptp.aSet0 tptp.xI) (forall @t3 (=> @t32 (and (forall @t20 (=> (tptp.aElementOf0 @t5 tptp.xI) (tptp.aElementOf0 @t6 tptp.xI))) (forall @t20 (=> @t7 (tptp.aElementOf0 @t16 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (tptp.aSet0 tptp.xJ) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xJ) (and (forall @t20 (=> @t31 (tptp.aElementOf0 @t6 tptp.xJ))) (forall @t20 (=> @t7 (tptp.aElementOf0 @t16 tptp.xJ)))))) (tptp.aIdeal0 tptp.xJ))) % 0.46/0.69 (assume @p26 (and (exists @t9 (and @t32 @t31 (= @t6 tptp.xx))) (tptp.aElementOf0 tptp.xx @t33) (exists @t9 (and @t32 @t31 (= @t6 tptp.xy))) (tptp.aElementOf0 tptp.xy @t33) (tptp.aElement0 tptp.xz))) % 0.46/0.69 (assume @p27 (and (tptp.aElementOf0 tptp.xk tptp.xI) (tptp.aElementOf0 tptp.xl tptp.xJ) (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl)))) % 0.46/0.69 (assume @p28 (and (tptp.aElementOf0 tptp.xm tptp.xI) (tptp.aElementOf0 tptp.xn tptp.xJ) (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn)))) % 0.46/0.69 (assume @p29 (and @t37 @t35)) % 0.46/0.69 (assume @p30 (and @t41 @t39)) % 0.46/0.69 (assume @p31 @t44) % 0.46/0.69 (assume @p32 @t47) % 0.46/0.69 (assume @p33 @t59) % 0.46/0.69 (assume @p34 true) % 0.46/0.69 (step @p35 :rule and_elim :premises (@p30) :args (1)) % 0.46/0.69 (step @p36 :rule and_elim :premises (@p30) :args (0)) % 0.46/0.69 (step @p37 :rule cnf_or_pos :args (@t63)) % 0.46/0.69 (step @p38 :rule reordering :premises (@p37) :args ((or @t62 @t61 @t60 @t64))) % 0.46/0.69 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35 @p32) :args (@t64 @t65 (@list @t41 @t39 @t47))) % 0.46/0.69 (step @p40 :rule eq-symm :args (@t45 @t46)) % 0.46/0.69 (step @p41 :rule cong :premises (@p40) :args (@t66)) % 0.46/0.69 (step @p42 :rule refl :args (@t61)) % 0.46/0.69 (step @p43 :rule refl :args (@t62)) % 0.46/0.69 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t67)) % 0.46/0.69 (step @p45 :rule refl :args (@t72)) % 0.46/0.69 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t72 @t67))) % 0.46/0.69 (assume-push @p117 @t72) % 0.46/0.69 (step @p48 :rule instantiate :premises (@p117) :args ((@list @t40 @t38))) % 0.46/0.69 (step-pop @p118 :rule scope :premises (@p48)) % 0.46/0.69 (step @p49 :rule process_scope :premises (@p118) :args (@t67)) % 0.46/0.69 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.46/0.69 (step @p52 :rule implies_elim :premises (@p51)) % 0.46/0.69 (step @p53 :rule chain_m_resolution :premises (@p52 @p39) :args (@t73 @t74 (@list @t63))) % 0.46/0.69 (step @p54 :rule bool-double-not-elim :args (@t72)) % 0.46/0.69 (step @p55 :rule refl :args (@t75)) % 0.46/0.69 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t75 (not @t73)))) % 0.46/0.69 (step @p57 :rule cnf_or_neg :args (@t75 0)) % 0.46/0.69 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.46/0.69 (step @p59 :rule reordering :premises (@p58) :args ((or @t72 @t75))) % 0.46/0.69 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t75 @t74 (@list @t72))) % 0.46/0.69 (step @p61 :rule refl :args (@t48)) % 0.46/0.69 (step @p62 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) @t71))) % 0.46/0.69 (step @p63 :rule bool-and-de-morgan :args (@t31 @t49 true)) % 0.46/0.69 (step @p64 :rule refl :args (@t70)) % 0.46/0.69 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t70 (not (and @t31 @t49))))) % 0.46/0.69 (step @p66 :rule bool-and-de-morgan :args (@t32 @t31 (and @t49))) % 0.46/0.69 (step @p67 :rule trans :premises (@p66 @p65)) % 0.46/0.69 (step @p68 :rule trans :premises (@p67 @p62)) % 0.46/0.69 (step @p69 :rule cong :premises (@p68) :args (@t76)) % 0.46/0.69 (step @p70 :rule cong :premises (@p69) :args (@t77)) % 0.46/0.69 (step @p71 :rule exists-elim :args ((= @t51 @t77))) % 0.46/0.69 (step @p72 :rule trans :premises (@p71 @p70)) % 0.46/0.69 (step @p73 :rule nary_cong :premises (@p72 @p61) :args (@t52)) % 0.46/0.69 (step @p74 :rule refl :args (@t53)) % 0.46/0.69 (step @p75 :rule aci_norm :args ((= (or @t70 (or @t69 @t78)) @t79))) % 0.46/0.69 (step @p76 :rule bool-and-de-morgan :args (@t31 @t54 true)) % 0.46/0.69 (step @p77 :rule nary_cong :premises (@p64 @p76) :args ((or @t70 (not (and @t31 @t54))))) % 0.46/0.69 (step @p78 :rule bool-and-de-morgan :args (@t32 @t31 (and @t54))) % 0.46/0.69 (step @p79 :rule trans :premises (@p78 @p77)) % 0.46/0.69 (step @p80 :rule trans :premises (@p79 @p75)) % 0.46/0.69 (step @p81 :rule cong :premises (@p80) :args (@t80)) % 0.46/0.69 (step @p82 :rule cong :premises (@p81) :args (@t81)) % 0.46/0.69 (step @p83 :rule exists-elim :args ((= @t56 @t81))) % 0.46/0.69 (step @p84 :rule trans :premises (@p83 @p82)) % 0.46/0.69 (step @p85 :rule nary_cong :premises (@p84 @p74) :args (@t57)) % 0.46/0.69 (step @p86 :rule nary_cong :premises (@p85 @p73) :args (@t58)) % 0.46/0.69 (step @p87 :rule cong :premises (@p86) :args (@t59)) % 0.46/0.69 (step @p88 :rule eq_resolve :premises (@p33 @p87)) % 0.46/0.69 (step @p89 :rule not_and :premises (@p88)) % 0.46/0.69 (step @p90 :rule chain_m_resolution :premises (@p89 @p60) :args ((not @t84) (@list false) (@list @t75))) % 0.46/0.69 (step @p91 :rule bool-double-not-elim :args (@t82)) % 0.46/0.69 (step @p92 :rule refl :args (@t84)) % 0.46/0.69 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t84 (not @t83)))) % 0.46/0.69 (step @p94 :rule cnf_or_neg :args (@t84 0)) % 0.46/0.69 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.46/0.69 (step @p96 :rule reordering :premises (@p95) :args ((or @t82 @t84))) % 0.46/0.69 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t82 @t74 (@list @t84))) % 0.46/0.69 (step @p98 :rule and_elim :premises (@p29) :args (1)) % 0.46/0.69 (step @p99 :rule and_elim :premises (@p29) :args (0)) % 0.46/0.69 (step @p100 :rule cnf_or_pos :args (@t88)) % 0.46/0.69 (step @p101 :rule reordering :premises (@p100) :args ((or @t87 @t86 @t85 @t89))) % 0.46/0.69 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p98 @p31) :args (@t89 @t65 (@list @t37 @t35 @t44))) % 0.46/0.69 (step @p103 :rule eq-symm :args (@t42 @t43)) % 0.46/0.69 (step @p104 :rule cong :premises (@p103) :args (@t90)) % 0.46/0.69 (step @p105 :rule refl :args (@t86)) % 0.46/0.69 (step @p106 :rule refl :args (@t87)) % 0.46/0.69 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t91)) % 0.46/0.69 (step @p108 :rule refl :args (@t82)) % 0.46/0.69 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t82 @t91))) % 0.46/0.69 (assume-push @p119 @t82) % 0.46/0.69 (step @p111 :rule instantiate :premises (@p119) :args ((@list @t36 @t34))) % 0.46/0.69 (step-pop @p120 :rule scope :premises (@p111)) % 0.46/0.69 (step @p112 :rule process_scope :premises (@p120) :args (@t91)) % 0.46/0.69 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.46/0.69 (step @p115 :rule implies_elim :premises (@p114)) % 0.46/0.69 (step @p116 false :rule chain_m_resolution :premises (@p115 @p102 @p97) :args (false (@list true false) (@list @t88 @t82))) % 0.46/0.69 ) % 0.46/0.69 % SZS output end Proof % 0.46/0.69 % cvc5 exiting %------------------------------------------------------------------------------