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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ITP019+1 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 08:24:42 AM UTC 2026

% Result   : Theorem 0.36s 0.57s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP019+1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n011.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 03:58:50 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.36/0.57  % SZS status Theorem
% 0.36/0.57  % SZS output start Proof
% 0.36/0.57  (
% 0.36/0.57  (declare-sort $$unsorted 0)
% 0.36/0.57  (declare-const tptp.c_2Enum_2E0_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 (-> $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.combin_s_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.combin_k_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ecomplex_2Ecomplex__inv_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.tyop_2Erealax_2Ereal $$unsorted)
% 0.36/0.57  (declare-const tptp.combin_i_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.p (-> $$unsorted Bool))
% 0.36/0.57  (declare-const tptp.tyop_2Emin_2Ebool $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ecomplex_2Ecomplex__of__num_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.tyop_2Epair_2Eprod (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Ecomplex_2Ecomplex__inv_2E1 (-> $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.tyop_2Enum_2Enum $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted)
% 0.36/0.57  (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted)
% 0.36/0.57  (define @t1 () (@var "V1g_2E0" $$unsorted))
% 0.36/0.57  (define @t2 () (@var "A_27b" $$unsorted))
% 0.36/0.57  (define @t3 () (@var "A_27a" $$unsorted))
% 0.36/0.57  (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2))
% 0.36/0.57  (define @t5 () (tptp.s @t4 @t1))
% 0.36/0.57  (define @t6 () (@var "V0f_2E0" $$unsorted))
% 0.36/0.57  (define @t7 () (tptp.s @t4 @t6))
% 0.36/0.57  (define @t8 () (@var "V2x_2E0" $$unsorted))
% 0.36/0.57  (define @t9 () (tptp.s @t3 @t8))
% 0.36/0.57  (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9)))
% 0.36/0.57  (define @t11 () (@var "V1_2E0" $$unsorted))
% 0.36/0.57  (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11))
% 0.36/0.57  (define @t13 () (@var "V0_2E0" $$unsorted))
% 0.36/0.57  (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13))
% 0.36/0.57  (define @t15 () (tptp.p @t12))
% 0.36/0.57  (define @t16 () (tptp.p @t14))
% 0.36/0.57  (define @t17 () (@list @t13 @t11))
% 0.36/0.57  (define @t18 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))
% 0.36/0.57  (define @t19 () (tptp.p @t18))
% 0.36/0.57  (define @t20 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))
% 0.36/0.57  (define @t21 () (tptp.p @t20))
% 0.36/0.57  (define @t22 () (@var "V0t_2E0" $$unsorted))
% 0.36/0.57  (define @t23 () (tptp.s tptp.tyop_2Emin_2Ebool @t22))
% 0.36/0.57  (define @t24 () (@list @t22))
% 0.36/0.57  (define @t25 () (@var "V0x_2E0" $$unsorted))
% 0.36/0.57  (define @t26 () (tptp.s @t3 @t25))
% 0.36/0.57  (define @t27 () (@var "V1y_2E0" $$unsorted))
% 0.36/0.57  (define @t28 () (tptp.tyop_2Emin_2Efun @t2 @t3))
% 0.36/0.57  (define @t29 () (@var "A_27c" $$unsorted))
% 0.36/0.57  (define @t30 () (tptp.tyop_2Emin_2Efun @t2 @t29))
% 0.36/0.57  (define @t31 () (tptp.tyop_2Emin_2Efun @t3 @t30))
% 0.36/0.57  (define @t32 () (tptp.s @t31 @t6))
% 0.36/0.57  (define @t33 () (tptp.tyop_2Emin_2Efun @t3 @t29))
% 0.36/0.57  (define @t34 () (tptp.tyop_2Emin_2Efun @t4 @t33))
% 0.36/0.57  (define @t35 () (tptp.s @t3 @t11))
% 0.36/0.57  (define @t36 () (tptp.s @t3 @t13))
% 0.36/0.57  (define @t37 () (@var "V1x_2E0" $$unsorted))
% 0.36/0.57  (define @t38 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool))
% 0.36/0.57  (define @t39 () (tptp.s @t38 @t6))
% 0.36/0.57  (define @t40 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t39 (tptp.s @t3 @t37)))))
% 0.36/0.57  (define @t41 () (@list @t37))
% 0.36/0.57  (define @t42 () (@list @t3 @t6))
% 0.36/0.57  (define @t43 () (@var "X1_2E0" $$unsorted))
% 0.36/0.57  (define @t44 () (tptp.s tptp.tyop_2Emin_2Ebool @t43))
% 0.36/0.57  (define @t45 () (@var "X0_2E0" $$unsorted))
% 0.36/0.57  (define @t46 () (tptp.s tptp.tyop_2Emin_2Ebool @t45))
% 0.36/0.57  (define @t47 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))
% 0.36/0.57  (define @t48 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t47))
% 0.36/0.57  (define @t49 () (tptp.p @t44))
% 0.36/0.57  (define @t50 () (tptp.p @t46))
% 0.36/0.57  (define @t51 () (@list @t45 @t43))
% 0.36/0.57  (define @t52 () (@list @t45))
% 0.36/0.57  (define @t53 () (tptp.s @t3 @t43))
% 0.36/0.57  (define @t54 () (tptp.s @t3 @t45))
% 0.36/0.57  (define @t55 () (tptp.s @t38 @t45))
% 0.36/0.57  (define @t56 () (tptp.tyop_2Emin_2Efun @t38 tptp.tyop_2Emin_2Ebool))
% 0.36/0.57  (define @t57 () (@list @t3 @t45))
% 0.36/0.57  (define @t58 () (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))
% 0.36/0.57  (define @t59 () (tptp.s @t58 @t45))
% 0.36/0.57  (define @t60 () (tptp.s tptp.tyop_2Enum_2Enum @t45))
% 0.36/0.57  (define @t61 () (tptp.p @t23))
% 0.36/0.57  (define @t62 () (tptp.s @t58 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 (tptp.s tptp.tyop_2Enum_2Enum tptp.c_2Enum_2E0_2E0))))
% 0.36/0.57  (define @t63 () (@var "V0z_2E0" $$unsorted))
% 0.36/0.57  (define @t64 () (tptp.s @t58 @t63))
% 0.36/0.57  (define @t65 () (= @t64 @t62))
% 0.36/0.57  (define @t66 () (tptp.s @t58 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 @t64)))
% 0.36/0.57  (define @t67 () (= @t66 @t62))
% 0.36/0.57  (define @t68 () (= @t67 @t65))
% 0.36/0.57  (define @t69 () (@list @t63))
% 0.36/0.57  (define @t70 () (forall @t69 @t68))
% 0.36/0.57  (define @t71 () (not @t67))
% 0.36/0.57  (define @t72 () (not @t65))
% 0.36/0.57  (define @t73 () (=> @t72 @t71))
% 0.36/0.57  (define @t74 () (forall @t69 @t73))
% 0.36/0.57  (define @t75 () (not @t74))
% 0.36/0.57  (define @t76 () (= @t62 @t66))
% 0.36/0.57  (define @t77 () (not @t76))
% 0.36/0.57  (define @t78 () (= @t62 @t64))
% 0.36/0.57  (define @t79 () (not @t78))
% 0.36/0.57  (define @t80 () (@quantifiers_skolemize (forall @t69 (or @t78 @t77)) 0))
% 0.36/0.57  (define @t81 () (tptp.s @t58 @t80))
% 0.36/0.57  (define @t82 () (= @t62 (tptp.s @t58 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 @t81))))
% 0.36/0.57  (define @t83 () (not @t82))
% 0.36/0.57  (define @t84 () (= @t62 @t81))
% 0.36/0.57  (define @t85 () (or @t84 @t83))
% 0.36/0.57  (define @t86 () (@list true))
% 0.36/0.57  (define @t87 () (@list @t85))
% 0.36/0.57  (define @t88 () (= @t84 @t82))
% 0.36/0.57  (define @t89 () (not @t88))
% 0.36/0.57  (define @t90 () (@list true false))
% 0.36/0.57  (define @t91 () (forall @t69 (= @t76 @t78)))
% 0.36/0.57  (define @t92 () (= @t82 @t84))
% 0.36/0.57  (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5))))
% 0.36/0.57  (assume @p2 (forall @t17 (=> (= @t16 @t15) (= @t14 @t12))))
% 0.36/0.57  (assume @p3 @t19)
% 0.36/0.57  (assume @p4 (not @t21))
% 0.36/0.57  (assume @p5 (forall @t24 (or (= @t23 @t18) (= @t23 @t20))))
% 0.36/0.57  (assume @p6 (forall (@list @t3 @t25) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t26)) @t26)))
% 0.36/0.57  (assume @p7 (forall (@list @t3 @t2 @t25 @t27) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t28 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t28) tptp.combin_k_2E0) @t26)) (tptp.s @t2 @t27))) @t26)))
% 0.36/0.57  (assume @p8 (forall (@list @t3 @t2 @t29 @t6 @t1 @t8) (= (tptp.s @t29 (tptp.app_2E2 (tptp.s @t33 (tptp.app_2E2 (tptp.s @t34 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t31 @t34) tptp.combin_s_2E0) @t32)) @t5)) @t9)) (tptp.s @t29 (tptp.app_2E2 (tptp.s @t30 (tptp.app_2E2 @t32 @t9)) @t10)))))
% 0.36/0.57  (assume @p9 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15))))
% 0.36/0.57  (assume @p10 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15))))
% 0.36/0.57  (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) (not @t16))))
% 0.36/0.57  (assume @p12 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15))))
% 0.36/0.57  (assume @p13 (forall (@list @t3 @t13 @t11) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t36 @t35))) (= @t36 @t35))))
% 0.36/0.57  (assume @p14 (forall @t42 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t39))) (forall @t41 @t40))))
% 0.36/0.57  (assume @p15 (forall @t42 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t39))) (exists @t41 @t40))))
% 0.36/0.57  (assume @p16 (forall @t51 (= (and @t50 @t49) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 (tptp.app_2E2 (tptp.s @t48 tptp.c_2Ebool_2E_2F_5C_2E0) @t46)) @t44))))))
% 0.36/0.57  (assume @p17 (forall @t51 (= (or @t50 @t49) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 (tptp.app_2E2 (tptp.s @t48 tptp.c_2Ebool_2E_5C_2F_2E0) @t46)) @t44))))))
% 0.36/0.57  (assume @p18 (forall @t52 (= (not @t50) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 tptp.c_2Ebool_2E_7E_2E0) @t46))))))
% 0.36/0.57  (assume @p19 (forall @t51 (= (=> @t50 @t49) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 (tptp.app_2E2 (tptp.s @t48 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t46)) @t44))))))
% 0.36/0.57  (assume @p20 (forall (@list @t3 @t45 @t43) (= (= @t54 @t53) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t38 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t38) tptp.c_2Emin_2E_3D_2E0) @t54)) @t53))))))
% 0.36/0.57  (assume @p21 (forall @t57 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t55)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_21_2E0) @t55)))))
% 0.36/0.57  (assume @p22 (forall @t57 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t55)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_3F_2E0) @t55)))))
% 0.36/0.57  (assume @p23 (forall @t52 (= (tptp.s @t58 (tptp.c_2Ecomplex_2Ecomplex__inv_2E1 @t59)) (tptp.s @t58 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t58 @t58) tptp.c_2Ecomplex_2Ecomplex__inv_2E0) @t59)))))
% 0.36/0.57  (assume @p24 (forall @t52 (= (tptp.s @t58 (tptp.c_2Ecomplex_2Ecomplex__of__num_2E1 @t60)) (tptp.s @t58 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t58) tptp.c_2Ecomplex_2Ecomplex__of__num_2E0) @t60)))))
% 0.36/0.57  (assume @p25 (forall (@list @t3 @t22) (= (forall @t41 @t61) @t61)))
% 0.36/0.57  (assume @p26 (forall @t24 (and (= (=> @t19 @t61) @t61) (= (=> @t61 @t19) @t19) (= (=> @t21 @t61) @t19) (= (=> @t61 @t61) @t19) (= (=> @t61 @t21) (not @t61)))))
% 0.36/0.57  (assume @p27 @t70)
% 0.36/0.57  (assume @p28 @t75)
% 0.36/0.57  (assume @p29 true)
% 0.36/0.57  (step @p30 :rule eq-symm :args (@t64 @t62))
% 0.36/0.57  (step @p31 :rule eq-symm :args (@t66 @t62))
% 0.36/0.57  (step @p32 :rule cong :premises (@p31 @p30) :args (@t68))
% 0.36/0.57  (step @p33 :rule cong :premises (@p32) :args (@t70))
% 0.36/0.57  (step @p34 :rule eq_resolve :premises (@p27 @p33))
% 0.36/0.57  (step @p35 :rule refl :args (@t77))
% 0.36/0.57  (step @p36 :rule bool-double-not-elim :args (@t78))
% 0.36/0.57  (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t79) @t77)))
% 0.36/0.57  (step @p38 :rule bool-impl-elim :args (@t79 @t77))
% 0.36/0.57  (step @p39 :rule trans :premises (@p38 @p37))
% 0.36/0.57  (step @p40 :rule cong :premises (@p39) :args ((forall @t69 (=> @t79 @t77))))
% 0.36/0.57  (step @p41 :rule cong :premises (@p31) :args (@t71))
% 0.36/0.57  (step @p42 :rule cong :premises (@p30) :args (@t72))
% 0.36/0.57  (step @p43 :rule cong :premises (@p42 @p41) :args (@t73))
% 0.36/0.57  (step @p44 :rule cong :premises (@p43) :args (@t74))
% 0.36/0.57  (step @p45 :rule trans :premises (@p44 @p40))
% 0.36/0.57  (step @p46 :rule cong :premises (@p45) :args (@t75))
% 0.36/0.57  (step @p47 :rule eq_resolve :premises (@p28 @p46))
% 0.36/0.57  (step @p48 :rule skolemize :premises (@p47))
% 0.36/0.57  (step @p49 :rule bool-double-not-elim :args (@t82))
% 0.36/0.57  (step @p50 :rule refl :args (@t85))
% 0.36/0.57  (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t85 (not @t83))))
% 0.36/0.57  (step @p52 :rule cnf_or_neg :args (@t85 1))
% 0.36/0.57  (step @p53 :rule eq_resolve :premises (@p52 @p51))
% 0.36/0.57  (step @p54 :rule reordering :premises (@p53) :args ((or @t82 @t85)))
% 0.36/0.57  (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t82 @t86 @t87))
% 0.36/0.57  (step @p56 :rule cnf_or_neg :args (@t85 0))
% 0.36/0.57  (step @p57 :rule chain_m_resolution :premises (@p56 @p48) :args ((not @t84) @t86 @t87))
% 0.36/0.57  (step @p58 :rule cnf_equiv_pos2 :args (@t88))
% 0.36/0.57  (step @p59 :rule reordering :premises (@p58) :args ((or @t84 @t83 @t89)))
% 0.36/0.57  (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p55) :args (@t89 @t90 (@list @t84 @t82)))
% 0.36/0.57  (step @p61 :rule eq-symm :args (@t82 @t84))
% 0.36/0.57  (step @p62 :rule refl :args (@t91))
% 0.36/0.57  (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t91 @t92)))
% 0.36/0.57  (assume-push @p71 @t91)
% 0.36/0.57  (step @p65 :rule instantiate :premises (@p34) :args ((@list @t80)))
% 0.36/0.57  (step-pop @p72 :rule scope :premises (@p65))
% 0.36/0.57  (step @p66 :rule process_scope :premises (@p72) :args (@t92))
% 0.36/0.57  (step @p68 :rule eq_resolve :premises (@p66 @p63))
% 0.36/0.57  (step @p69 :rule implies_elim :premises (@p68))
% 0.36/0.57  (step @p70 false :rule chain_m_resolution :premises (@p69 @p60 @p34) :args (false @t90 (@list @t88 @t91)))
% 0.36/0.57  )
% 0.36/0.57  % SZS output end Proof
% 0.36/0.57  % cvc5 exiting
%------------------------------------------------------------------------------