%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL106-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:10:00 AM UTC 2026 % Result : Unsatisfiable 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 : COL106-2 : TPTP v9.2.1. Released v3.2.0. % 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 : n009.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 : Mon Jun 1 20:25:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Unsatisfiable % 0.36/0.61 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.v_sko__uTE (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.c_Comb_Ocomb_OS $$unsorted) % 0.36/0.62 (declare-const tptp.v_sko__uTF (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.tc_Comb_Ocomb $$unsorted) % 0.36/0.62 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.c_Comb_Oparcontract $$unsorted) % 0.36/0.62 (declare-const tptp.v_xb $$unsorted) % 0.36/0.62 (declare-const tptp.v_ya $$unsorted) % 0.36/0.62 (declare-const tptp.v_x $$unsorted) % 0.36/0.62 (declare-const tptp.v_sko__uTI (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.c_Comb_Ocomb_OK $$unsorted) % 0.36/0.62 (declare-const tptp.v_sko__uTG (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.c_Comb_Ocomb_Oop_A_D_D (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v_sko__uTH (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (define @t1 () (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)) % 0.36/0.62 (define @t2 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK tptp.v_x)) % 0.36/0.62 (define @t3 () (tptp.c_Comb_Ocomb_Oop_A_D_D @t2 tptp.v_ya)) % 0.36/0.62 (define @t4 () (tptp.c_in (tptp.c_Pair @t3 tptp.v_xb tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t5 () (@var "V_U" $$unsorted)) % 0.36/0.62 (define @t6 () (@var "V_r" $$unsorted)) % 0.36/0.62 (define @t7 () (@var "V_q" $$unsorted)) % 0.36/0.62 (define @t8 () (@var "V_p" $$unsorted)) % 0.36/0.62 (define @t9 () (tptp.v_sko__uTI @t8 @t7 @t6)) % 0.36/0.62 (define @t10 () (= @t8 (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS (tptp.v_sko__uTF @t8 @t7 @t6)) (tptp.v_sko__uTG @t8 @t7 @t6)))) % 0.36/0.62 (define @t11 () (= @t8 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK @t6))) % 0.36/0.62 (define @t12 () (tptp.c_Comb_Ocomb_Oop_A_D_D @t8 @t7)) % 0.36/0.62 (define @t13 () (= @t6 @t12)) % 0.36/0.62 (define @t14 () (not (tptp.c_in (tptp.c_Pair @t12 @t6 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))) % 0.36/0.62 (define @t15 () (@list @t8 @t7 @t6)) % 0.36/0.62 (define @t16 () (@var "V_comb2_H" $$unsorted)) % 0.36/0.62 (define @t17 () (@var "V_comb1_H" $$unsorted)) % 0.36/0.62 (define @t18 () (tptp.c_Comb_Ocomb_Oop_A_D_D @t17 @t16)) % 0.36/0.62 (define @t19 () (@var "V_comb1" $$unsorted)) % 0.36/0.62 (define @t20 () (@var "V_comb2" $$unsorted)) % 0.36/0.62 (define @t21 () (tptp.c_Comb_Ocomb_Oop_A_D_D @t19 @t20)) % 0.36/0.62 (define @t22 () (not (= @t21 @t18))) % 0.36/0.62 (define @t23 () (or @t22 (= @t19 @t17))) % 0.36/0.62 (define @t24 () (@list @t19 @t20 @t17 @t16)) % 0.36/0.62 (define @t25 () (forall @t24 @t23)) % 0.36/0.62 (define @t26 () (or @t22 (= @t20 @t16))) % 0.36/0.62 (define @t27 () (forall @t24 @t26)) % 0.36/0.62 (define @t28 () (@var "V_z" $$unsorted)) % 0.36/0.62 (define @t29 () (@var "V_x" $$unsorted)) % 0.36/0.62 (define @t30 () (tptp.v_sko__uTE @t29 @t28)) % 0.36/0.62 (define @t31 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK @t29)) % 0.36/0.62 (define @t32 () (not (tptp.c_in (tptp.c_Pair @t31 @t28 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))) % 0.36/0.62 (define @t33 () (@list @t29 @t28)) % 0.36/0.62 (define @t34 () (@var "V_y" $$unsorted)) % 0.36/0.62 (define @t35 () (@var "V_w" $$unsorted)) % 0.36/0.62 (define @t36 () (tptp.v_sko__uTI @t2 tptp.v_ya tptp.v_xb)) % 0.36/0.62 (define @t37 () (tptp.v_sko__uTE tptp.v_x @t36)) % 0.36/0.62 (define @t38 () (tptp.v_sko__uTE tptp.v_x @t2)) % 0.36/0.62 (define @t39 () (@list tptp.v_x @t2)) % 0.36/0.62 (define @t40 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK @t38)) % 0.36/0.62 (define @t41 () (= @t2 @t40)) % 0.36/0.62 (define @t42 () (tptp.c_in (tptp.c_Pair @t2 @t2 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t43 () (not @t42)) % 0.36/0.62 (define @t44 () (or @t43 @t41)) % 0.36/0.62 (define @t45 () (@list false false)) % 0.36/0.62 (define @t46 () (= tptp.v_x @t38)) % 0.36/0.62 (define @t47 () (not @t41)) % 0.36/0.62 (define @t48 () (or @t47 @t46)) % 0.36/0.62 (define @t49 () (tptp.c_in (tptp.c_Pair tptp.v_x @t38 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t50 () (or @t43 @t49)) % 0.36/0.62 (define @t51 () (not @t49)) % 0.36/0.62 (define @t52 () (tptp.c_in (tptp.c_Pair tptp.v_xb @t38 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t53 () (not @t52)) % 0.36/0.62 (define @t54 () (or @t53 @t51)) % 0.36/0.62 (define @t55 () (not @t46)) % 0.36/0.62 (define @t56 () (tptp.c_Comb_Ocomb_Oop_A_D_D @t40 tptp.v_ya)) % 0.36/0.62 (define @t57 () (tptp.c_Pair @t56 @t38 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)) % 0.36/0.62 (define @t58 () (tptp.c_in @t57 tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t59 () (not @t58)) % 0.36/0.62 (define @t60 () (= tptp.v_xb @t3)) % 0.36/0.62 (define @t61 () (not @t60)) % 0.36/0.62 (define @t62 () (= true false)) % 0.36/0.62 (define @t63 () (tptp.c_Pair tptp.v_xb tptp.v_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)) % 0.36/0.62 (define @t64 () (and @t53 @t46 @t60 @t41 @t58)) % 0.36/0.62 (define @t65 () (@list @t2 tptp.v_ya tptp.v_xb)) % 0.36/0.62 (define @t66 () (tptp.v_sko__uTG @t2 tptp.v_ya tptp.v_xb)) % 0.36/0.62 (define @t67 () (tptp.v_sko__uTF @t2 tptp.v_ya tptp.v_xb)) % 0.36/0.62 (define @t68 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS @t67)) % 0.36/0.62 (define @t69 () (= tptp.c_Comb_Ocomb_OK @t68)) % 0.36/0.62 (define @t70 () (= @t2 (tptp.c_Comb_Ocomb_Oop_A_D_D @t68 @t66))) % 0.36/0.62 (define @t71 () (not @t70)) % 0.36/0.62 (define @t72 () (or @t71 @t69)) % 0.36/0.62 (define @t73 () (@list true false)) % 0.36/0.62 (define @t74 () (@list tptp.v_x)) % 0.36/0.62 (define @t75 () (tptp.c_Pair tptp.v_x tptp.v_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)) % 0.36/0.62 (define @t76 () (tptp.c_in @t75 tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t77 () (not @t76)) % 0.36/0.62 (define @t78 () (tptp.c_in @t63 tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t79 () (not @t78)) % 0.36/0.62 (define @t80 () (or @t79 @t77)) % 0.36/0.62 (define @t81 () (= tptp.v_x tptp.v_xb)) % 0.36/0.62 (define @t82 () (not @t81)) % 0.36/0.62 (define @t83 () (and @t79 @t81 @t76)) % 0.36/0.62 (define @t84 () (= @t2 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK tptp.v_xb))) % 0.36/0.62 (define @t85 () (not @t84)) % 0.36/0.62 (define @t86 () (or @t85 @t81)) % 0.36/0.62 (define @t87 () (tptp.v_sko__uTH @t2 tptp.v_ya tptp.v_xb)) % 0.36/0.62 (define @t88 () (tptp.c_Comb_Ocomb_Oop_A_D_D @t36 @t87)) % 0.36/0.62 (define @t89 () (= tptp.v_xb @t88)) % 0.36/0.62 (define @t90 () (not @t4)) % 0.36/0.62 (define @t91 () (or @t90 @t60 @t84 @t70 @t89)) % 0.36/0.62 (define @t92 () (tptp.c_in (tptp.c_Pair @t2 @t36 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t93 () (or @t90 @t92 @t60 @t84 @t70)) % 0.36/0.62 (define @t94 () (@list tptp.v_x @t36)) % 0.36/0.62 (define @t95 () (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK @t37)) % 0.36/0.62 (define @t96 () (= @t36 @t95)) % 0.36/0.62 (define @t97 () (not @t92)) % 0.36/0.62 (define @t98 () (or @t97 @t96)) % 0.36/0.62 (define @t99 () (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D @t95 @t87) @t37 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t100 () (not @t99)) % 0.36/0.62 (define @t101 () (tptp.c_Pair tptp.v_xb @t37 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)) % 0.36/0.62 (define @t102 () (tptp.c_in @t101 tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t103 () (not @t96)) % 0.36/0.62 (define @t104 () (not @t89)) % 0.36/0.62 (define @t105 () (not @t102)) % 0.36/0.62 (define @t106 () (and @t99 @t96 @t89 @t105)) % 0.36/0.62 (define @t107 () (tptp.c_in (tptp.c_Pair tptp.v_x @t37 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) % 0.36/0.62 (define @t108 () (or @t97 @t107)) % 0.36/0.62 (define @t109 () (not @t107)) % 0.36/0.62 (define @t110 () (or @t105 @t109)) % 0.36/0.62 (assume @p1 @t4) % 0.36/0.62 (assume @p2 (forall (@list @t5) (or (not (tptp.c_in (tptp.c_Pair tptp.v_xb @t5 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (not (tptp.c_in (tptp.c_Pair tptp.v_x @t5 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))))) % 0.36/0.62 (assume @p3 (forall @t15 (or @t14 @t13 @t11 @t10 (= @t6 (tptp.c_Comb_Ocomb_Oop_A_D_D @t9 (tptp.v_sko__uTH @t8 @t7 @t6)))))) % 0.36/0.62 (assume @p4 (forall @t15 (or @t14 (tptp.c_in (tptp.c_Pair @t8 @t9 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1) @t13 @t11 @t10))) % 0.36/0.62 (assume @p5 (forall (@list @t17 @t16) (not (= tptp.c_Comb_Ocomb_OK @t18)))) % 0.36/0.62 (assume @p6 @t25) % 0.36/0.62 (assume @p7 @t27) % 0.36/0.62 (assume @p8 (forall @t33 (or @t32 (= @t28 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK @t30))))) % 0.36/0.62 (assume @p9 (forall @t33 (or @t32 (tptp.c_in (tptp.c_Pair @t29 @t30 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))) % 0.36/0.62 (assume @p10 (forall (@list @t29) (tptp.c_in (tptp.c_Pair @t29 @t29 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))) % 0.36/0.62 (assume @p11 (forall (@list @t29 @t34) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D @t31 @t34) @t29 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1))) % 0.36/0.62 (assume @p12 (forall (@list @t28 @t35 @t29 @t34) (or (not (tptp.c_in (tptp.c_Pair @t28 @t35 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (not (tptp.c_in (tptp.c_Pair @t29 @t34 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D @t29 @t28) (tptp.c_Comb_Ocomb_Oop_A_D_D @t34 @t35) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract @t1)))) % 0.36/0.62 (step @p13 :rule instantiate :premises (@p2) :args ((@list @t37))) % 0.36/0.62 (step @p14 :rule eq-symm :args (@t20 @t16)) % 0.36/0.62 (step @p15 :rule eq-symm :args (@t21 @t18)) % 0.36/0.62 (step @p16 :rule cong :premises (@p15) :args (@t22)) % 0.36/0.62 (step @p17 :rule nary_cong :premises (@p16 @p14) :args (@t26)) % 0.36/0.62 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.36/0.62 (step @p19 :rule eq_resolve :premises (@p7 @p18)) % 0.36/0.62 (step @p20 :rule instantiate :premises (@p19) :args ((@list tptp.c_Comb_Ocomb_OK @t38 tptp.c_Comb_Ocomb_OK tptp.v_x))) % 0.36/0.62 (step @p21 :rule instantiate :premises (@p8) :args (@t39)) % 0.36/0.62 (step @p22 :rule instantiate :premises (@p10) :args ((@list @t2))) % 0.36/0.62 (step @p23 :rule cnf_or_pos :args (@t44)) % 0.36/0.62 (step @p24 :rule reordering :premises (@p23) :args ((or @t43 @t41 (not @t44)))) % 0.36/0.62 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p21) :args (@t41 @t45 (@list @t42 @t44))) % 0.36/0.62 (step @p26 :rule cnf_or_pos :args (@t48)) % 0.36/0.62 (step @p27 :rule reordering :premises (@p26) :args ((or @t47 @t46 (not @t48)))) % 0.36/0.62 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p20) :args (@t46 @t45 (@list @t41 @t48))) % 0.36/0.62 (step @p29 :rule instantiate :premises (@p11) :args ((@list @t38 tptp.v_ya))) % 0.36/0.62 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t38))) % 0.36/0.62 (step @p31 :rule instantiate :premises (@p9) :args (@t39)) % 0.36/0.62 (step @p32 :rule cnf_or_pos :args (@t50)) % 0.36/0.62 (step @p33 :rule reordering :premises (@p32) :args ((or @t43 @t49 (not @t50)))) % 0.36/0.62 (step @p34 :rule chain_m_resolution :premises (@p33 @p22 @p31) :args (@t49 @t45 (@list @t42 @t50))) % 0.36/0.62 (step @p35 :rule cnf_or_pos :args (@t54)) % 0.36/0.62 (step @p36 :rule reordering :premises (@p35) :args ((or @t51 @t53 (not @t54)))) % 0.36/0.62 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30) :args (@t53 @t45 (@list @t49 @t54))) % 0.36/0.62 (step @p38 :rule refl :args (@t55)) % 0.36/0.62 (step @p39 :rule refl :args (@t59)) % 0.36/0.62 (step @p40 :rule bool-double-not-elim :args (@t52)) % 0.36/0.62 (step @p41 :rule refl :args (@t47)) % 0.36/0.62 (step @p42 :rule refl :args (@t61)) % 0.36/0.62 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39 @p38) :args ((or @t61 @t47 (not @t53) @t59 @t55))) % 0.36/0.62 (assume-push @p202 @t53) % 0.36/0.62 (assume-push @p203 @t46) % 0.36/0.62 (assume-push @p204 @t60) % 0.36/0.62 (assume-push @p205 @t41) % 0.36/0.62 (assume-push @p206 @t58) % 0.36/0.62 (step @p49 :rule evaluate :args (@t62)) % 0.36/0.62 (step @p50 :rule false_intro :premises (@p37)) % 0.36/0.62 (step @p51 :rule refl :args (@t1)) % 0.36/0.62 (step @p52 :rule refl :args (tptp.c_Comb_Oparcontract)) % 0.36/0.62 (step @p53 :rule refl :args (tptp.tc_Comb_Ocomb)) % 0.36/0.62 (step @p54 :rule refl :args (tptp.v_xb)) % 0.36/0.62 (step @p55 :rule cong :premises (@p54 @p28 @p53 @p53) :args (@t63)) % 0.36/0.62 (step @p56 :rule refl :args (tptp.v_x)) % 0.36/0.62 (step @p57 :rule symm :premises (@p204)) % 0.36/0.62 (step @p58 :rule cong :premises (@p57 @p56 @p53 @p53) :args ((tptp.c_Pair @t3 tptp.v_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) % 0.36/0.62 (step @p59 :rule symm :premises (@p28)) % 0.36/0.62 (step @p60 :rule refl :args (tptp.v_ya)) % 0.36/0.62 (step @p61 :rule symm :premises (@p25)) % 0.36/0.62 (step @p62 :rule cong :premises (@p61 @p60) :args (@t56)) % 0.36/0.62 (step @p63 :rule cong :premises (@p62 @p59 @p53 @p53) :args (@t57)) % 0.36/0.62 (step @p64 :rule trans :premises (@p63 @p58 @p55)) % 0.36/0.62 (step @p65 :rule cong :premises (@p64 @p52 @p51) :args (@t58)) % 0.36/0.62 (step @p66 :rule true_intro :premises (@p29)) % 0.36/0.62 (step @p67 :rule symm :premises (@p66)) % 0.36/0.62 (step @p68 :rule trans :premises (@p67 @p65 @p50)) % 0.36/0.62 (step @p69 false :rule eq_resolve :premises (@p68 @p49)) % 0.36/0.62 (step-pop @p207 :rule scope :premises (@p69)) % 0.36/0.62 (step-pop @p208 :rule scope :premises (@p207)) % 0.36/0.62 (step-pop @p209 :rule scope :premises (@p208)) % 0.36/0.62 (step-pop @p210 :rule scope :premises (@p209)) % 0.36/0.62 (step-pop @p211 :rule scope :premises (@p210)) % 0.36/0.62 (step @p70 :rule process_scope :premises (@p211) :args (false)) % 0.36/0.62 (assume-push @p212 @t60) % 0.36/0.62 (assume-push @p213 @t41) % 0.36/0.62 (assume-push @p214 @t53) % 0.36/0.62 (assume-push @p215 @t58) % 0.36/0.62 (assume-push @p216 @t46) % 0.36/0.62 (step @p81 :rule and_intro :premises (@p37 @p28 @p212 @p25 @p29)) % 0.36/0.62 (step-pop @p217 :rule scope :premises (@p81)) % 0.36/0.62 (step-pop @p218 :rule scope :premises (@p217)) % 0.36/0.62 (step-pop @p219 :rule scope :premises (@p218)) % 0.36/0.62 (step-pop @p220 :rule scope :premises (@p219)) % 0.36/0.62 (step-pop @p221 :rule scope :premises (@p220)) % 0.36/0.62 (step @p82 :rule process_scope :premises (@p221) :args (@t64)) % 0.36/0.62 (step @p88 :rule implies_elim :premises (@p82)) % 0.36/0.62 (step @p89 :rule resolution :premises (@p88 @p70) :args (true @t64)) % 0.36/0.62 (step @p90 :rule not_and :premises (@p89)) % 0.36/0.62 (step @p91 :rule eq_resolve :premises (@p90 @p43)) % 0.36/0.62 (step @p92 :rule chain_m_resolution :premises (@p91 @p25 @p37 @p29 @p28) :args (@t61 (@list false true false false) (@list @t41 @t52 @t58 @t46))) % 0.36/0.62 (step @p93 :rule instantiate :premises (@p3) :args (@t65)) % 0.36/0.62 (step @p94 :rule eq-symm :args (@t19 @t17)) % 0.36/0.62 (step @p95 :rule nary_cong :premises (@p16 @p94) :args (@t23)) % 0.36/0.62 (step @p96 :rule cong :premises (@p95) :args (@t25)) % 0.36/0.62 (step @p97 :rule eq_resolve :premises (@p6 @p96)) % 0.36/0.62 (step @p98 :rule instantiate :premises (@p97) :args ((@list @t68 @t66 tptp.c_Comb_Ocomb_OK tptp.v_x))) % 0.36/0.62 (step @p99 :rule instantiate :premises (@p5) :args ((@list tptp.c_Comb_Ocomb_OS @t67))) % 0.36/0.62 (step @p100 :rule cnf_or_pos :args (@t72)) % 0.36/0.62 (step @p101 :rule reordering :premises (@p100) :args ((or @t71 @t69 (not @t72)))) % 0.36/0.62 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p98) :args (@t71 @t73 (@list @t69 @t72))) % 0.36/0.62 (step @p103 :rule instantiate :premises (@p19) :args ((@list tptp.c_Comb_Ocomb_OK tptp.v_xb tptp.c_Comb_Ocomb_OK tptp.v_x))) % 0.36/0.62 (step @p104 :rule instantiate :premises (@p2) :args (@t74)) % 0.36/0.62 (step @p105 :rule instantiate :premises (@p10) :args (@t74)) % 0.36/0.62 (step @p106 :rule cnf_or_pos :args (@t80)) % 0.36/0.62 (step @p107 :rule reordering :premises (@p106) :args ((or @t77 @t79 (not @t80)))) % 0.36/0.62 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p104) :args (@t79 @t45 (@list @t76 @t80))) % 0.36/0.62 (step @p109 :rule bool-double-not-elim :args (@t78)) % 0.36/0.62 (step @p110 :rule refl :args (@t77)) % 0.36/0.62 (step @p111 :rule refl :args (@t82)) % 0.36/0.62 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args ((or @t82 @t77 (not @t79)))) % 0.36/0.62 (assume-push @p222 @t79) % 0.36/0.62 (assume-push @p223 @t81) % 0.36/0.62 (assume-push @p224 @t76) % 0.36/0.62 (step @p49 :rule evaluate :args (@t62)) % 0.36/0.62 (step @p116 :rule false_intro :premises (@p108)) % 0.36/0.62 (step @p51 :rule refl :args (@t1)) % 0.36/0.62 (step @p52 :rule refl :args (tptp.c_Comb_Oparcontract)) % 0.36/0.62 (step @p53 :rule refl :args (tptp.tc_Comb_Ocomb)) % 0.36/0.62 (step @p56 :rule refl :args (tptp.v_x)) % 0.36/0.62 (step @p117 :rule cong :premises (@p223 @p56 @p53 @p53) :args (@t75)) % 0.36/0.62 (step @p118 :rule cong :premises (@p117 @p52 @p51) :args (@t76)) % 0.36/0.62 (step @p119 :rule true_intro :premises (@p105)) % 0.36/0.62 (step @p120 :rule symm :premises (@p119)) % 0.36/0.62 (step @p121 :rule trans :premises (@p120 @p118 @p116)) % 0.36/0.62 (step @p122 false :rule eq_resolve :premises (@p121 @p49)) % 0.36/0.62 (step-pop @p225 :rule scope :premises (@p122)) % 0.36/0.62 (step-pop @p226 :rule scope :premises (@p225)) % 0.36/0.62 (step-pop @p227 :rule scope :premises (@p226)) % 0.36/0.62 (step @p123 :rule process_scope :premises (@p227) :args (false)) % 0.36/0.62 (assume-push @p228 @t81) % 0.36/0.62 (assume-push @p229 @t76) % 0.36/0.62 (assume-push @p230 @t79) % 0.36/0.62 (step @p130 :rule and_intro :premises (@p108 @p228 @p105)) % 0.36/0.62 (step-pop @p231 :rule scope :premises (@p130)) % 0.36/0.62 (step-pop @p232 :rule scope :premises (@p231)) % 0.36/0.62 (step-pop @p233 :rule scope :premises (@p232)) % 0.36/0.62 (step @p131 :rule process_scope :premises (@p233) :args (@t83)) % 0.36/0.62 (step @p135 :rule implies_elim :premises (@p131)) % 0.36/0.62 (step @p136 :rule resolution :premises (@p135 @p123) :args (true @t83)) % 0.36/0.62 (step @p137 :rule not_and :premises (@p136)) % 0.36/0.62 (step @p138 :rule eq_resolve :premises (@p137 @p112)) % 0.36/0.62 (step @p139 :rule chain_m_resolution :premises (@p138 @p105 @p108) :args (@t82 (@list false true) (@list @t76 @t78))) % 0.36/0.62 (step @p140 :rule cnf_or_pos :args (@t86)) % 0.36/0.62 (step @p141 :rule reordering :premises (@p140) :args ((or @t85 @t81 (not @t86)))) % 0.36/0.62 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p103) :args (@t85 @t73 (@list @t81 @t86))) % 0.36/0.62 (step @p143 :rule cnf_or_pos :args (@t91)) % 0.36/0.62 (step @p144 :rule reordering :premises (@p143) :args ((or @t90 @t60 @t84 @t70 @t89 (not @t91)))) % 0.36/0.62 (step @p145 :rule instantiate :premises (@p4) :args (@t65)) % 0.36/0.62 (step @p146 :rule cnf_or_pos :args (@t93)) % 0.36/0.62 (step @p147 :rule reordering :premises (@p146) :args ((or @t90 @t60 @t84 @t70 @t92 (not @t93)))) % 0.36/0.62 (step @p148 :rule instantiate :premises (@p8) :args (@t94)) % 0.36/0.62 (step @p149 :rule cnf_or_pos :args (@t98)) % 0.36/0.62 (step @p150 :rule reordering :premises (@p149) :args ((or @t97 @t96 (not @t98)))) % 0.36/0.62 (step @p151 :rule instantiate :premises (@p11) :args ((@list @t37 @t87))) % 0.36/0.62 (step @p152 :rule refl :args (@t100)) % 0.36/0.62 (step @p153 :rule bool-double-not-elim :args (@t102)) % 0.36/0.62 (step @p154 :rule refl :args (@t103)) % 0.36/0.62 (step @p155 :rule refl :args (@t104)) % 0.36/0.62 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153 @p152) :args ((or @t104 @t103 (not @t105) @t100))) % 0.36/0.62 (assume-push @p234 @t99) % 0.36/0.62 (assume-push @p235 @t96) % 0.36/0.62 (assume-push @p236 @t89) % 0.36/0.62 (assume-push @p237 @t105) % 0.36/0.62 (step @p161 :rule evaluate :args ((= false true))) % 0.36/0.62 (step @p162 :rule true_intro :premises (@p151)) % 0.36/0.62 (step @p51 :rule refl :args (@t1)) % 0.36/0.62 (step @p52 :rule refl :args (tptp.c_Comb_Oparcontract)) % 0.36/0.62 (step @p53 :rule refl :args (tptp.tc_Comb_Ocomb)) % 0.36/0.62 (step @p163 :rule refl :args (@t37)) % 0.36/0.62 (step @p164 :rule refl :args (@t87)) % 0.36/0.62 (step @p165 :rule cong :premises (@p235 @p164) :args (@t88)) % 0.36/0.62 (step @p166 :rule trans :premises (@p236 @p165)) % 0.36/0.62 (step @p167 :rule cong :premises (@p166 @p163 @p53 @p53) :args (@t101)) % 0.36/0.62 (step @p168 :rule cong :premises (@p167 @p52 @p51) :args (@t102)) % 0.36/0.62 (step @p169 :rule false_intro :premises (@p237)) % 0.36/0.62 (step @p170 :rule symm :premises (@p169)) % 0.36/0.62 (step @p171 :rule trans :premises (@p170 @p168 @p162)) % 0.36/0.62 (step @p172 false :rule eq_resolve :premises (@p171 @p161)) % 0.36/0.62 (step-pop @p238 :rule scope :premises (@p172)) % 0.36/0.62 (step-pop @p239 :rule scope :premises (@p238)) % 0.36/0.62 (step-pop @p240 :rule scope :premises (@p239)) % 0.36/0.62 (step-pop @p241 :rule scope :premises (@p240)) % 0.36/0.62 (step @p173 :rule process_scope :premises (@p241) :args (false)) % 0.36/0.62 (assume-push @p242 @t89) % 0.36/0.62 (assume-push @p243 @t96) % 0.36/0.62 (assume-push @p244 @t105) % 0.36/0.62 (assume-push @p245 @t99) % 0.36/0.62 (step @p182 :rule and_intro :premises (@p151 @p243 @p242 @p244)) % 0.36/0.62 (step-pop @p246 :rule scope :premises (@p182)) % 0.36/0.62 (step-pop @p247 :rule scope :premises (@p246)) % 0.36/0.62 (step-pop @p248 :rule scope :premises (@p247)) % 0.36/0.62 (step-pop @p249 :rule scope :premises (@p248)) % 0.36/0.62 (step @p183 :rule process_scope :premises (@p249) :args (@t106)) % 0.36/0.62 (step @p188 :rule implies_elim :premises (@p183)) % 0.36/0.62 (step @p189 :rule resolution :premises (@p188 @p173) :args (true @t106)) % 0.36/0.62 (step @p190 :rule not_and :premises (@p189)) % 0.36/0.62 (step @p191 :rule eq_resolve :premises (@p190 @p156)) % 0.36/0.62 (step @p192 :rule chain_m_resolution :premises (@p191 @p151 @p150 @p148 @p147 @p142 @p102 @p145 @p1 @p144 @p142 @p102 @p93 @p1) :args ((or @t60 @t102) (@list false false false false true true false false false true true false false) (@list @t99 @t96 @t98 @t92 @t84 @t70 @t93 @t4 @t89 @t84 @t70 @t91 @t4))) % 0.36/0.62 (step @p193 :rule chain_m_resolution :premises (@p192 @p92) :args (@t102 (@list true) (@list @t60))) % 0.36/0.62 (step @p194 :rule instantiate :premises (@p9) :args (@t94)) % 0.36/0.62 (step @p195 :rule chain_m_resolution :premises (@p147 @p1 @p92 @p142 @p102 @p145) :args (@t92 (@list false true true true false) (@list @t4 @t60 @t84 @t70 @t93))) % 0.36/0.62 (step @p196 :rule cnf_or_pos :args (@t108)) % 0.36/0.62 (step @p197 :rule reordering :premises (@p196) :args ((or @t97 @t107 (not @t108)))) % 0.36/0.62 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p194) :args (@t107 @t45 (@list @t92 @t108))) % 0.36/0.62 (step @p199 :rule cnf_or_pos :args (@t110)) % 0.36/0.62 (step @p200 :rule reordering :premises (@p199) :args ((or @t109 @t105 (not @t110)))) % 0.36/0.62 (step @p201 false :rule chain_m_resolution :premises (@p200 @p198 @p193 @p13) :args (false (@list false false false) (@list @t107 @t102 @t110))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------