%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS148+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:29:01 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS148+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:28:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.iV5478 $$unsorted) % 0.37/0.61 (declare-const tptp.cTEST (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC90 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC82 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC78 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC76 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC74 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC68 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC66 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC64 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC6 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC86 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC8 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC120 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC114 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC94 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC130 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC112 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC124 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC56 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC62 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC104 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC34 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC54 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC60 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC110 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC108 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC44 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC2 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cTOP (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC102 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC24 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC118 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC26 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC106 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC92 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC98 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC100 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC80 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC122 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iV5476 $$unsorted) % 0.37/0.61 (declare-const tptp.cC58 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC140 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC70 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC116 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iV5475 $$unsorted) % 0.37/0.61 (declare-const tptp.cC88 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC72 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC28 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC128 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC132 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC136 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC138 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC14 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC84 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC16 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC18 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC38 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC20 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC22 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC30 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC12 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC32 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC36 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC126 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC4 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC40 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC10 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC42 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC46 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC134 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC48 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC96 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC50 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cC52 (-> $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.37/0.61 (define @t3 () (tptp.cowlThing @t1)) % 0.37/0.61 (define @t4 () (@list @t1)) % 0.37/0.61 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.37/0.61 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.37/0.61 (define @t7 () (tptp.cC2 @t1)) % 0.37/0.61 (define @t8 () (not @t7)) % 0.37/0.61 (define @t9 () (tptp.cC8 @t1)) % 0.37/0.61 (define @t10 () (tptp.cC10 @t1)) % 0.37/0.61 (define @t11 () (tptp.cC94 @t1)) % 0.37/0.61 (define @t12 () (tptp.cC98 @t1)) % 0.37/0.61 (define @t13 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t14 () (tptp.rR1 @t1 @t13)) % 0.37/0.61 (define @t15 () (@list @t13)) % 0.37/0.61 (define @t16 () (tptp.cC102 @t1)) % 0.37/0.61 (define @t17 () (tptp.cC88 @t1)) % 0.37/0.61 (define @t18 () (tptp.cC106 @t1)) % 0.37/0.61 (define @t19 () (tptp.cC84 @t1)) % 0.37/0.61 (define @t20 () (tptp.cC108 @t1)) % 0.37/0.61 (define @t21 () (tptp.cC62 @t1)) % 0.37/0.61 (define @t22 () (tptp.cC112 @t1)) % 0.37/0.61 (define @t23 () (tptp.cC114 @t1)) % 0.37/0.61 (define @t24 () (tptp.cTOP @t1)) % 0.37/0.61 (define @t25 () (tptp.cC116 @t1)) % 0.37/0.61 (define @t26 () (exists @t15 (and @t14 (not (tptp.cC2 @t13))))) % 0.37/0.61 (define @t27 () (tptp.cC120 @t1)) % 0.37/0.61 (define @t28 () (tptp.cC122 @t1)) % 0.37/0.61 (define @t29 () (tptp.cC124 @t1)) % 0.37/0.61 (define @t30 () (tptp.cC128 @t1)) % 0.37/0.61 (define @t31 () (tptp.cC132 @t1)) % 0.37/0.61 (define @t32 () (tptp.cC138 @t1)) % 0.37/0.61 (define @t33 () (tptp.cC14 @t1)) % 0.37/0.61 (define @t34 () (tptp.cC140 @t1)) % 0.37/0.61 (define @t35 () (tptp.cC16 @t1)) % 0.37/0.61 (define @t36 () (tptp.cC20 @t1)) % 0.37/0.61 (define @t37 () (tptp.cC24 @t1)) % 0.37/0.61 (define @t38 () (tptp.cC26 @t1)) % 0.37/0.61 (define @t39 () (tptp.cC28 @t1)) % 0.37/0.61 (define @t40 () (tptp.cC30 @t1)) % 0.37/0.61 (define @t41 () (tptp.cC32 @t1)) % 0.37/0.61 (define @t42 () (tptp.cC36 @t1)) % 0.37/0.61 (define @t43 () (tptp.cC38 @t1)) % 0.37/0.61 (define @t44 () (tptp.cC4 @t1)) % 0.37/0.61 (define @t45 () (tptp.cC40 @t1)) % 0.37/0.61 (define @t46 () (tptp.cC42 @t1)) % 0.37/0.61 (define @t47 () (tptp.cC46 @t1)) % 0.37/0.61 (define @t48 () (tptp.cC48 @t1)) % 0.37/0.61 (define @t49 () (tptp.cC50 @t1)) % 0.37/0.61 (define @t50 () (tptp.cC54 @t1)) % 0.37/0.61 (define @t51 () (tptp.cC58 @t1)) % 0.37/0.61 (define @t52 () (tptp.cC60 @t1)) % 0.37/0.61 (define @t53 () (tptp.cC64 @t1)) % 0.37/0.61 (define @t54 () (tptp.cC66 @t1)) % 0.37/0.61 (define @t55 () (tptp.cC68 @t1)) % 0.37/0.61 (define @t56 () (tptp.cC72 @t1)) % 0.37/0.61 (define @t57 () (tptp.cC74 @t1)) % 0.37/0.61 (define @t58 () (tptp.cC76 @t1)) % 0.37/0.61 (define @t59 () (tptp.cC82 @t1)) % 0.37/0.61 (define @t60 () (tptp.cC86 @t1)) % 0.37/0.61 (define @t61 () (tptp.cC90 @t1)) % 0.37/0.61 (define @t62 () (tptp.cC96 @t1)) % 0.37/0.61 (define @t63 () (tptp.cTEST tptp.iV5475)) % 0.37/0.61 (define @t64 () (tptp.cTOP tptp.iV5475)) % 0.37/0.61 (define @t65 () (tptp.cowlThing tptp.iV5475)) % 0.37/0.61 (define @t66 () (tptp.cC114 tptp.iV5475)) % 0.37/0.61 (define @t67 () (not @t66)) % 0.37/0.61 (define @t68 () (tptp.rR1 tptp.iV5478 @t1)) % 0.37/0.61 (define @t69 () (tptp.cC140 tptp.iV5475)) % 0.37/0.61 (define @t70 () (tptp.cC116 tptp.iV5475)) % 0.37/0.61 (define @t71 () (tptp.cC138 tptp.iV5475)) % 0.37/0.61 (define @t72 () (and @t5 @t6 @t71 @t65 @t70 @t69)) % 0.37/0.61 (define @t73 () (not @t72)) % 0.37/0.61 (define @t74 () (@list tptp.iV5475)) % 0.37/0.61 (define @t75 () (and @t69 @t70)) % 0.37/0.61 (define @t76 () (= @t63 @t75)) % 0.37/0.61 (define @t77 () (@list false false)) % 0.37/0.61 (define @t78 () (not @t64)) % 0.37/0.61 (define @t79 () (and @t64 @t67)) % 0.37/0.61 (define @t80 () (= @t70 @t79)) % 0.37/0.61 (define @t81 () (forall @t4 @t2)) % 0.37/0.61 (define @t82 () (@list @t1)) % 0.37/0.61 (define @t83 () (@var "BOUND_VARIABLE_7884" $$unsorted)) % 0.37/0.61 (define @t84 () (forall @t4 @t3)) % 0.37/0.61 (define @t85 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 0.37/0.61 (define @t86 () (and @t84 @t81)) % 0.37/0.61 (define @t87 () (forall (@list @t83) (not (tptp.cowlNothing @t83)))) % 0.37/0.61 (define @t88 () (forall (@list @t85) (tptp.cowlThing @t85))) % 0.37/0.61 (define @t89 () (not @t69)) % 0.37/0.61 (define @t90 () (not @t71)) % 0.37/0.61 (define @t91 () (and @t64 @t71)) % 0.37/0.61 (define @t92 () (not @t91)) % 0.37/0.61 (define @t93 () (= @t69 @t91)) % 0.37/0.61 (assume @p1 @t5) % 0.37/0.61 (assume @p2 @t6) % 0.37/0.61 (assume @p3 (forall @t4 (= @t10 (and (not @t9) @t8)))) % 0.37/0.61 (assume @p4 (forall @t4 (= (tptp.cC100 @t1) (and (not @t12) @t11)))) % 0.37/0.61 (assume @p5 (forall @t4 (= @t16 (exists @t15 (and @t14 (tptp.cC100 @t13)))))) % 0.37/0.61 (assume @p6 (forall @t4 (= (tptp.cC104 @t1) (and (not @t16) @t17)))) % 0.37/0.61 (assume @p7 (forall @t4 (= @t18 (exists @t15 (and @t14 (tptp.cC104 @t13)))))) % 0.37/0.61 (assume @p8 (forall @t4 (= @t20 (and @t19 (not @t18))))) % 0.37/0.61 (assume @p9 (forall @t4 (= (tptp.cC110 @t1) (and @t21 (not @t20))))) % 0.37/0.61 (assume @p10 (forall @t4 (= @t22 (exists @t15 (and @t14 (not (tptp.cC110 @t13))))))) % 0.37/0.61 (assume @p11 (forall @t4 (= @t23 (exists @t15 (and @t14 (tptp.cC112 @t13)))))) % 0.37/0.61 (assume @p12 (forall @t4 (= @t25 (and @t24 (not @t23))))) % 0.37/0.61 (assume @p13 (forall @t4 (= (tptp.cC118 @t1) @t26))) % 0.37/0.61 (assume @p14 (forall @t4 (= (tptp.cC12 @t1) (exists @t15 (and @t14 (tptp.cC10 @t13)))))) % 0.37/0.61 (assume @p15 (forall @t4 (= @t27 (exists @t15 (and @t14 (not (tptp.cC118 @t13))))))) % 0.37/0.61 (assume @p16 (forall @t4 (= @t28 (and @t8 @t27)))) % 0.37/0.61 (assume @p17 (forall @t4 (= @t29 @t26))) % 0.37/0.61 (assume @p18 (forall @t4 (= (tptp.cC126 @t1) (and @t29 @t7)))) % 0.37/0.61 (assume @p19 (forall @t4 (= @t30 (exists @t15 (and @t14 (tptp.cC126 @t13)))))) % 0.37/0.61 (assume @p20 (forall @t4 (= (tptp.cC130 @t1) (and @t8 (not @t30))))) % 0.37/0.61 (assume @p21 (forall @t4 (= @t31 (exists @t15 (and @t14 (tptp.cC130 @t13)))))) % 0.37/0.61 (assume @p22 (forall @t4 (= (tptp.cC134 @t1) (and @t28 (not @t31))))) % 0.37/0.61 (assume @p23 (forall @t4 (= (tptp.cC136 @t1) (exists @t15 (and @t14 (tptp.cC134 @t13)))))) % 0.37/0.61 (assume @p24 (forall @t4 (= @t32 (exists @t15 (and @t14 (tptp.cC136 @t13)))))) % 0.37/0.61 (assume @p25 (forall @t4 (= @t33 (exists @t15 (and @t14 (tptp.cC12 @t13)))))) % 0.37/0.61 (assume @p26 (forall @t4 (= @t34 (and @t24 @t32)))) % 0.37/0.61 (assume @p27 (forall @t4 (= @t35 @t26))) % 0.37/0.61 (assume @p28 (forall @t4 (= (tptp.cC18 @t1) (and @t35 @t7)))) % 0.37/0.61 (assume @p29 (forall @t4 (= @t36 (exists @t15 (and @t14 (tptp.cC18 @t13)))))) % 0.37/0.61 (assume @p30 (forall @t4 (= (tptp.cC22 @t1) (and (not @t36) @t8)))) % 0.37/0.61 (assume @p31 (forall @t4 (= @t37 (exists @t15 (and @t14 (tptp.cC22 @t13)))))) % 0.37/0.61 (assume @p32 (forall @t4 (= @t38 (and @t33 (not @t37))))) % 0.37/0.61 (assume @p33 (forall @t4 (= @t39 @t26))) % 0.37/0.61 (assume @p34 (forall @t4 (= @t40 (exists @t15 (and @t14 (tptp.cC28 @t13)))))) % 0.37/0.61 (assume @p35 (forall @t4 (= @t41 @t26))) % 0.37/0.61 (assume @p36 (forall @t4 (= (tptp.cC34 @t1) (and @t40 (not @t41))))) % 0.37/0.61 (assume @p37 (forall @t4 (= @t42 (exists @t15 (and @t14 (tptp.cC34 @t13)))))) % 0.37/0.61 (assume @p38 (forall @t4 (= @t43 (and (not @t42) (not @t38))))) % 0.37/0.61 (assume @p39 (forall @t4 (= @t44 @t26))) % 0.37/0.61 (assume @p40 (forall @t4 (= @t45 @t26))) % 0.37/0.61 (assume @p41 (forall @t4 (= @t46 (and @t8 @t45)))) % 0.37/0.61 (assume @p42 (forall @t4 (= (tptp.cC44 @t1) @t26))) % 0.37/0.61 (assume @p43 (forall @t4 (= @t47 (exists @t15 (and @t14 (not (tptp.cC44 @t13))))))) % 0.37/0.61 (assume @p44 (forall @t4 (= @t48 (and @t46 @t47)))) % 0.37/0.61 (assume @p45 (forall @t4 (= @t49 @t26))) % 0.37/0.61 (assume @p46 (forall @t4 (= (tptp.cC52 @t1) (and @t7 @t49)))) % 0.37/0.61 (assume @p47 (forall @t4 (= @t50 (exists @t15 (and @t14 (tptp.cC52 @t13)))))) % 0.37/0.61 (assume @p48 (forall @t4 (= (tptp.cC56 @t1) (and (not @t50) @t8)))) % 0.37/0.61 (assume @p49 (forall @t4 (= @t51 (exists @t15 (and @t14 (tptp.cC56 @t13)))))) % 0.37/0.61 (assume @p50 (forall @t4 (= (tptp.cC6 @t1) (and @t7 @t44)))) % 0.37/0.61 (assume @p51 (forall @t4 (= @t52 (and @t48 (not @t51))))) % 0.37/0.61 (assume @p52 (forall @t4 (= @t21 (and @t43 (not @t52))))) % 0.37/0.61 (assume @p53 (forall @t4 (= @t53 @t26))) % 0.37/0.61 (assume @p54 (forall @t4 (= @t54 (and @t53 @t7)))) % 0.37/0.61 (assume @p55 (forall @t4 (= @t55 @t26))) % 0.37/0.61 (assume @p56 (forall @t4 (= (tptp.cC70 @t1) (and @t7 @t55)))) % 0.37/0.61 (assume @p57 (forall @t4 (= @t56 (exists @t15 (and @t14 (tptp.cC70 @t13)))))) % 0.37/0.61 (assume @p58 (forall @t4 (= @t57 (and @t54 @t56)))) % 0.37/0.61 (assume @p59 (forall @t4 (= @t58 @t26))) % 0.37/0.61 (assume @p60 (forall @t4 (= (tptp.cC78 @t1) (and @t58 @t7)))) % 0.37/0.61 (assume @p61 (forall @t4 (= @t9 (exists @t15 (and @t14 (tptp.cC6 @t13)))))) % 0.37/0.61 (assume @p62 (forall @t4 (= (tptp.cC80 @t1) (exists @t15 (and @t14 (tptp.cC78 @t13)))))) % 0.37/0.61 (assume @p63 (forall @t4 (= @t59 (exists @t15 (and @t14 (not (tptp.cC80 @t13))))))) % 0.37/0.61 (assume @p64 (forall @t4 (= @t19 (and @t59 @t57)))) % 0.37/0.61 (assume @p65 (forall @t4 (= @t60 @t26))) % 0.37/0.61 (assume @p66 (forall @t4 (= @t17 (and @t60 @t7)))) % 0.37/0.61 (assume @p67 (forall @t4 (= @t61 @t26))) % 0.37/0.61 (assume @p68 (forall @t4 (= (tptp.cC92 @t1) (and @t7 @t61)))) % 0.37/0.61 (assume @p69 (forall @t4 (= @t11 (exists @t15 (and @t14 (tptp.cC92 @t13)))))) % 0.37/0.61 (assume @p70 (forall @t4 (= @t62 @t26))) % 0.37/0.61 (assume @p71 (forall @t4 (= @t12 (and @t62 @t7)))) % 0.37/0.61 (assume @p72 (forall @t4 (= (tptp.cTEST @t1) (and @t34 @t25)))) % 0.37/0.61 (assume @p73 @t63) % 0.37/0.61 (assume @p74 @t64) % 0.37/0.61 (assume @p75 @t65) % 0.37/0.61 (assume @p76 (forall @t4 (=> (tptp.rR1 tptp.iV5475 @t1) (not @t22)))) % 0.37/0.61 (assume @p77 @t67) % 0.37/0.61 (assume @p78 (tptp.rR1 tptp.iV5475 tptp.iV5476)) % 0.37/0.61 (assume @p79 (tptp.cowlThing tptp.iV5476)) % 0.37/0.61 (assume @p80 (not (tptp.cC34 tptp.iV5478))) % 0.37/0.61 (assume @p81 (not (tptp.cC12 tptp.iV5478))) % 0.37/0.61 (assume @p82 (forall @t4 (=> @t68 @t7))) % 0.37/0.61 (assume @p83 (not (tptp.cC30 tptp.iV5478))) % 0.37/0.61 (assume @p84 (not (tptp.cC130 tptp.iV5478))) % 0.37/0.61 (assume @p85 (not (tptp.cC118 tptp.iV5478))) % 0.35/0.61 (assume @p86 (tptp.cowlThing tptp.iV5478)) % 0.35/0.61 (assume @p87 (tptp.cC2 tptp.iV5478)) % 0.35/0.61 (assume @p88 (forall @t4 (=> @t68 (not @t39)))) % 0.35/0.61 (assume @p89 (forall @t4 (=> @t68 (not @t10)))) % 0.35/0.61 (assume @p90 @t73) % 0.35/0.61 (assume @p91 true) % 0.35/0.61 (step @p92 :rule instantiate :premises (@p72) :args (@t74)) % 0.35/0.61 (step @p93 :rule cnf_equiv_pos1 :args (@t76)) % 0.35/0.61 (step @p94 :rule reordering :premises (@p93) :args ((or (not @t63) @t75 (not @t76)))) % 0.35/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p73 @p92) :args (@t75 @t77 (@list @t63 @t76))) % 0.35/0.61 (step @p96 :rule cnf_and_pos :args (@t75 0)) % 0.35/0.61 (step @p97 :rule reordering :premises (@p96) :args ((or @t69 (not @t75)))) % 0.35/0.61 (step @p98 :rule chain_m_resolution :premises (@p97 @p95) :args (@t69 (@list false) (@list @t75))) % 0.35/0.61 (step @p99 :rule instantiate :premises (@p12) :args (@t74)) % 0.35/0.61 (step @p100 :rule bool-double-not-elim :args (@t66)) % 0.35/0.61 (step @p101 :rule refl :args (@t78)) % 0.35/0.61 (step @p102 :rule refl :args (@t79)) % 0.35/0.61 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args ((or @t79 @t78 (not @t67)))) % 0.35/0.61 (step @p104 :rule cnf_and_neg :args (@t79)) % 0.35/0.62 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.35/0.62 (step @p106 :rule reordering :premises (@p105) :args ((or @t66 @t78 @t79))) % 0.35/0.62 (step @p107 :rule chain_m_resolution :premises (@p106 @p77 @p74) :args (@t79 (@list true false) (@list @t66 @t64))) % 0.35/0.62 (step @p108 :rule cnf_equiv_pos2 :args (@t80)) % 0.35/0.62 (step @p109 :rule reordering :premises (@p108) :args ((or @t70 (not @t79) (not @t80)))) % 0.35/0.62 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p99) :args (@t70 @t77 (@list @t79 @t80))) % 0.35/0.62 (step @p111 :rule alpha_equiv :args (@t81 @t82 (@list @t83))) % 0.35/0.62 (step @p112 :rule alpha_equiv :args (@t84 @t82 (@list @t85))) % 0.35/0.62 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t86)) % 0.35/0.62 (step @p114 :rule quant-miniscope-and :args ((= @t5 @t86))) % 0.35/0.62 (step @p115 :rule trans :premises (@p114 @p113)) % 0.35/0.62 (step @p116 :rule eq_resolve :premises (@p1 @p115)) % 0.35/0.62 (step @p117 :rule and_elim :premises (@p116) :args (1)) % 0.35/0.62 (step @p118 :rule and_elim :premises (@p116) :args (0)) % 0.35/0.62 (step @p119 :rule aci_norm :args ((= (and (and @t88 @t87) @t6 @t71 @t65 @t70 @t69) (and @t6 @t71 @t65 @t70 @t69 @t88 @t87)))) % 0.35/0.62 (step @p120 :rule refl :args (@t69)) % 0.35/0.62 (step @p121 :rule refl :args (@t70)) % 0.35/0.62 (step @p122 :rule refl :args (@t65)) % 0.35/0.62 (step @p123 :rule refl :args (@t71)) % 0.35/0.62 (step @p124 :rule refl :args (@t6)) % 0.35/0.62 (step @p125 :rule nary_cong :premises (@p115 @p124 @p123 @p122 @p121 @p120) :args (@t72)) % 0.35/0.62 (step @p126 :rule trans :premises (@p125 @p119)) % 0.35/0.62 (step @p127 :rule cong :premises (@p126) :args (@t73)) % 0.35/0.62 (step @p128 :rule eq_resolve :premises (@p90 @p127)) % 0.35/0.62 (step @p129 :rule not_and :premises (@p128)) % 0.35/0.62 (step @p130 :rule reordering :premises (@p129) :args ((or (not @t88) (not @t87) (not @t6) (not @t65) @t90 (not @t70) @t89))) % 0.35/0.62 (step @p131 :rule chain_m_resolution :premises (@p130 @p118 @p117 @p2 @p75 @p110 @p98) :args (@t90 (@list false false false false false false) (@list @t88 @t87 @t6 @t65 @t70 @t69))) % 0.35/0.62 (step @p132 :rule cnf_and_pos :args (@t91 1)) % 0.35/0.62 (step @p133 :rule reordering :premises (@p132) :args ((or @t71 @t92))) % 0.35/0.62 (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t92 (@list true) (@list @t71))) % 0.35/0.62 (step @p135 :rule instantiate :premises (@p26) :args (@t74)) % 0.35/0.62 (step @p136 :rule cnf_equiv_pos1 :args (@t93)) % 0.35/0.62 (step @p137 :rule reordering :premises (@p136) :args ((or @t89 @t91 (not @t93)))) % 0.35/0.62 (step @p138 false :rule chain_m_resolution :premises (@p137 @p135 @p134 @p98) :args (false (@list false true false) (@list @t93 @t91 @t69))) % 0.35/0.62 ) % 0.35/0.62 % SZS output end Proof % 0.35/0.62 % cvc5 exiting %------------------------------------------------------------------------------