%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MSC007^1.003.004 : TPTP v9.2.1. Released v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:36:04 AM UTC 2026 % Result : Theorem 1.12s 1.38s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MSC007^1.003.004 : TPTP v9.2.1. Released v5.4.0. % 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 : n029.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 09:44:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 1.12/1.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.12/1.38 % SZS status Theorem % 1.12/1.38 % SZS output start Proof % 1.12/1.38 ( % 1.12/1.38 (declare-sort tptp.pigeon 0) % 1.12/1.38 (declare-sort tptp.hole 0) % 1.12/1.38 (declare-const tptp.pigeon_hole (-> tptp.pigeon tptp.hole)) % 1.12/1.38 (declare-const tptp.pigeon4 tptp.pigeon) % 1.12/1.38 (declare-const tptp.pigeon3 tptp.pigeon) % 1.12/1.38 (declare-const tptp.pigeon1 tptp.pigeon) % 1.12/1.38 (declare-const tptp.pigeon2 tptp.pigeon) % 1.12/1.38 (declare-const tptp.hole1 tptp.hole) % 1.12/1.38 (declare-const tptp.hole2 tptp.hole) % 1.12/1.38 (declare-const tptp.hole3 tptp.hole) % 1.12/1.38 (define @t1 () (@var "X" tptp.hole)) % 1.12/1.38 (define @t2 () (@var "P" (-> tptp.hole Bool))) % 1.12/1.38 (define @t3 () (_ @t2 @t1)) % 1.12/1.38 (define @t4 () (@list @t1)) % 1.12/1.38 (define @t5 () (forall @t4 @t3)) % 1.12/1.38 (define @t6 () (_ @t2 tptp.hole3)) % 1.12/1.38 (define @t7 () (_ @t2 tptp.hole2)) % 1.12/1.38 (define @t8 () (_ @t2 tptp.hole1)) % 1.12/1.38 (define @t9 () (and @t8 @t7 @t6)) % 1.12/1.38 (define @t10 () (=> @t9 @t5)) % 1.12/1.38 (define @t11 () (@list @t2)) % 1.12/1.38 (define @t12 () (forall @t11 @t10)) % 1.12/1.38 (define @t13 () (= tptp.pigeon1 tptp.pigeon2)) % 1.12/1.38 (define @t14 () (= tptp.pigeon1 tptp.pigeon3)) % 1.12/1.38 (define @t15 () (= tptp.pigeon2 tptp.pigeon3)) % 1.12/1.38 (define @t16 () (= tptp.pigeon1 tptp.pigeon4)) % 1.12/1.38 (define @t17 () (= tptp.pigeon2 tptp.pigeon4)) % 1.12/1.38 (define @t18 () (= tptp.pigeon3 tptp.pigeon4)) % 1.12/1.38 (define @t19 () (@var "Y" tptp.pigeon)) % 1.12/1.38 (define @t20 () (@var "X" tptp.pigeon)) % 1.12/1.38 (define @t21 () (= @t20 @t19)) % 1.12/1.38 (define @t22 () (not @t21)) % 1.12/1.38 (define @t23 () (_ tptp.pigeon_hole @t19)) % 1.12/1.38 (define @t24 () (_ tptp.pigeon_hole @t20)) % 1.12/1.38 (define @t25 () (= @t24 @t23)) % 1.12/1.38 (define @t26 () (and @t25 @t22)) % 1.12/1.38 (define @t27 () (@list @t20 @t19)) % 1.12/1.38 (define @t28 () (exists @t27 @t26)) % 1.12/1.38 (define @t29 () (not @t28)) % 1.12/1.38 (define @t30 () (tptp.pigeon_hole @t19)) % 1.12/1.38 (define @t31 () (tptp.pigeon_hole @t20)) % 1.12/1.38 (define @t32 () (forall @t27 (or (not (= @t31 @t30)) @t21))) % 1.12/1.38 (define @t33 () (not @t25)) % 1.12/1.38 (define @t34 () (or @t33 @t21)) % 1.12/1.38 (define @t35 () (forall @t27 (not @t26))) % 1.12/1.38 (define @t36 () (not @t35)) % 1.12/1.38 (define @t37 () (tptp.pigeon_hole tptp.pigeon1)) % 1.12/1.38 (define @t38 () (tptp.pigeon_hole tptp.pigeon4)) % 1.12/1.38 (define @t39 () (= @t38 @t37)) % 1.12/1.38 (define @t40 () (not @t39)) % 1.12/1.38 (define @t41 () (or @t40 (= tptp.pigeon4 tptp.pigeon1))) % 1.12/1.38 (define @t42 () (or @t40 @t16)) % 1.12/1.38 (define @t43 () (@list false)) % 1.12/1.38 (define @t44 () (@list @t32)) % 1.12/1.38 (define @t45 () (@list true false)) % 1.12/1.38 (define @t46 () (@var "BOUND_VARIABLE_7472" tptp.hole)) % 1.12/1.38 (define @t47 () (_ @t2 @t46)) % 1.12/1.38 (define @t48 () (_ @t2 tptp.hole3)) % 1.12/1.38 (define @t49 () (not @t48)) % 1.12/1.38 (define @t50 () (_ @t2 tptp.hole2)) % 1.12/1.38 (define @t51 () (not @t50)) % 1.12/1.38 (define @t52 () (_ @t2 tptp.hole1)) % 1.12/1.38 (define @t53 () (not @t52)) % 1.12/1.38 (define @t54 () (or @t53 @t51 @t49 @t47)) % 1.12/1.38 (define @t55 () (forall (@list @t2 @t46) @t54)) % 1.12/1.38 (define @t56 () (@list @t46)) % 1.12/1.38 (define @t57 () (forall @t56 @t54)) % 1.12/1.38 (define @t58 () (forall @t56 @t47)) % 1.12/1.38 (define @t59 () (or @t53 @t51 @t49 @t58)) % 1.12/1.38 (define @t60 () (_ @t2 @t1)) % 1.12/1.38 (define @t61 () (forall @t4 @t60)) % 1.12/1.38 (define @t62 () (not @t6)) % 1.12/1.38 (define @t63 () (not @t7)) % 1.12/1.38 (define @t64 () (not @t8)) % 1.12/1.38 (define @t65 () (or @t64 @t63 @t62 @t61)) % 1.12/1.38 (define @t66 () (or @t64 @t63 @t62)) % 1.12/1.38 (define @t67 () (= tptp.hole3 @t38)) % 1.12/1.38 (define @t68 () (= tptp.hole2 @t38)) % 1.12/1.38 (define @t69 () (= tptp.hole1 @t38)) % 1.12/1.38 (define @t70 () (or @t69 @t68 @t67)) % 1.12/1.38 (define @t71 () (not (= @t38 @t38))) % 1.12/1.38 (define @t72 () (@var "BOUND_VARIABLE_28766" tptp.hole)) % 1.12/1.38 (define @t73 () (@list @t72)) % 1.12/1.38 (define @t74 () (lambda @t73 (not (= @t38 @t72)))) % 1.12/1.38 (define @t75 () (_ @t74 @t38)) % 1.12/1.38 (define @t76 () (not (= @t38 tptp.hole3))) % 1.12/1.38 (define @t77 () (_ @t74 tptp.hole3)) % 1.12/1.38 (define @t78 () (not @t77)) % 1.12/1.38 (define @t79 () (not (= @t38 tptp.hole2))) % 1.12/1.38 (define @t80 () (_ @t74 tptp.hole2)) % 1.12/1.38 (define @t81 () (not @t80)) % 1.12/1.38 (define @t82 () (not (= @t38 tptp.hole1))) % 1.12/1.38 (define @t83 () (_ @t74 tptp.hole1)) % 1.12/1.38 (define @t84 () (not @t83)) % 1.12/1.38 (define @t85 () (or @t84 @t81 @t78 @t75)) % 1.12/1.38 (define @t86 () (@list @t55)) % 1.12/1.38 (define @t87 () (tptp.pigeon_hole tptp.pigeon2)) % 1.12/1.38 (define @t88 () (= tptp.hole3 @t87)) % 1.12/1.38 (define @t89 () (= tptp.hole2 @t87)) % 1.12/1.38 (define @t90 () (= tptp.hole1 @t87)) % 1.12/1.38 (define @t91 () (or @t90 @t89 @t88)) % 1.12/1.38 (define @t92 () (not (= @t87 @t87))) % 1.12/1.38 (define @t93 () (lambda @t73 (not (= @t72 @t87)))) % 1.12/1.38 (define @t94 () (_ @t93 @t87)) % 1.12/1.38 (define @t95 () (not @t88)) % 1.12/1.38 (define @t96 () (_ @t93 tptp.hole3)) % 1.12/1.38 (define @t97 () (not @t96)) % 1.12/1.38 (define @t98 () (not @t89)) % 1.12/1.38 (define @t99 () (_ @t93 tptp.hole2)) % 1.12/1.38 (define @t100 () (not @t99)) % 1.12/1.38 (define @t101 () (not @t90)) % 1.12/1.38 (define @t102 () (_ @t93 tptp.hole1)) % 1.12/1.38 (define @t103 () (not @t102)) % 1.12/1.38 (define @t104 () (or @t103 @t100 @t97 @t94)) % 1.12/1.38 (define @t105 () (tptp.pigeon_hole tptp.pigeon3)) % 1.12/1.38 (define @t106 () (= @t105 @t87)) % 1.12/1.38 (define @t107 () (not @t106)) % 1.12/1.38 (define @t108 () (or @t107 (= tptp.pigeon3 tptp.pigeon2))) % 1.12/1.38 (define @t109 () (or @t107 @t15)) % 1.12/1.38 (define @t110 () (= tptp.hole1 @t105)) % 1.12/1.38 (define @t111 () (= tptp.hole2 @t105)) % 1.12/1.38 (define @t112 () (= tptp.hole3 @t105)) % 1.12/1.38 (define @t113 () (or @t112 @t111 @t110)) % 1.12/1.38 (define @t114 () (@var "BOUND_VARIABLE_73678" tptp.hole)) % 1.12/1.38 (define @t115 () (lambda (@list @t114) (or (= tptp.hole3 @t114) (= tptp.hole2 @t114) (= tptp.hole1 @t114)))) % 1.12/1.38 (define @t116 () (_ @t115 @t105)) % 1.12/1.38 (define @t117 () (= tptp.hole1 tptp.hole3)) % 1.12/1.38 (define @t118 () (= tptp.hole2 tptp.hole3)) % 1.12/1.38 (define @t119 () (or (= tptp.hole3 tptp.hole3) @t118 @t117)) % 1.12/1.38 (define @t120 () (_ @t115 tptp.hole3)) % 1.12/1.38 (define @t121 () (not @t120)) % 1.12/1.38 (define @t122 () (= tptp.hole1 tptp.hole2)) % 1.12/1.38 (define @t123 () (or (= tptp.hole3 tptp.hole2) (= tptp.hole2 tptp.hole2) @t122)) % 1.12/1.38 (define @t124 () (_ @t115 tptp.hole2)) % 1.12/1.38 (define @t125 () (not @t124)) % 1.12/1.38 (define @t126 () (or (= tptp.hole3 tptp.hole1) (= tptp.hole2 tptp.hole1) (= tptp.hole1 tptp.hole1))) % 1.12/1.38 (define @t127 () (_ @t115 tptp.hole1)) % 1.12/1.38 (define @t128 () (not @t127)) % 1.12/1.38 (define @t129 () (or @t128 @t125 @t121 @t116)) % 1.12/1.38 (define @t130 () (= @t105 @t37)) % 1.12/1.38 (define @t131 () (not @t130)) % 1.12/1.38 (define @t132 () (or @t131 (= tptp.pigeon3 tptp.pigeon1))) % 1.12/1.38 (define @t133 () (or @t131 @t14)) % 1.12/1.38 (define @t134 () (= tptp.hole2 @t37)) % 1.12/1.38 (define @t135 () (not @t134)) % 1.12/1.38 (define @t136 () (not @t111)) % 1.12/1.38 (define @t137 () (not @t131)) % 1.12/1.38 (define @t138 () (and @t111 @t131)) % 1.12/1.38 (define @t139 () (not @t107)) % 1.12/1.38 (define @t140 () (and @t107 @t111)) % 1.12/1.38 (define @t141 () (= @t38 @t105)) % 1.12/1.38 (define @t142 () (not @t141)) % 1.12/1.38 (define @t143 () (or @t142 (= tptp.pigeon4 tptp.pigeon3))) % 1.12/1.38 (define @t144 () (or @t142 @t18)) % 1.12/1.38 (define @t145 () (not @t68)) % 1.12/1.38 (define @t146 () (not @t142)) % 1.12/1.38 (define @t147 () (= false true)) % 1.12/1.38 (define @t148 () (and @t111 @t68 @t142)) % 1.12/1.38 (define @t149 () (= @t38 @t87)) % 1.12/1.38 (define @t150 () (not @t149)) % 1.12/1.38 (define @t151 () (or @t150 (= tptp.pigeon4 tptp.pigeon2))) % 1.12/1.38 (define @t152 () (or @t150 @t17)) % 1.12/1.38 (define @t153 () (not @t69)) % 1.12/1.38 (define @t154 () (not @t150)) % 1.12/1.38 (define @t155 () (and @t90 @t69 @t150)) % 1.12/1.38 (define @t156 () (= @t87 @t37)) % 1.12/1.38 (define @t157 () (not @t156)) % 1.12/1.38 (define @t158 () (or @t157 (= tptp.pigeon2 tptp.pigeon1))) % 1.12/1.38 (define @t159 () (or @t157 @t13)) % 1.12/1.38 (define @t160 () (= tptp.hole1 @t37)) % 1.12/1.38 (define @t161 () (not @t160)) % 1.12/1.38 (define @t162 () (not @t157)) % 1.12/1.38 (define @t163 () (and @t90 @t157)) % 1.12/1.38 (define @t164 () (= tptp.hole3 @t37)) % 1.12/1.38 (define @t165 () (or @t160 @t134 @t164)) % 1.12/1.38 (define @t166 () (not (= @t37 @t37))) % 1.12/1.38 (define @t167 () (lambda @t73 (not (= @t72 @t37)))) % 1.12/1.38 (define @t168 () (_ @t167 @t37)) % 1.12/1.38 (define @t169 () (not @t164)) % 1.12/1.38 (define @t170 () (_ @t167 tptp.hole3)) % 1.12/1.38 (define @t171 () (not @t170)) % 1.12/1.38 (define @t172 () (_ @t167 tptp.hole2)) % 1.12/1.38 (define @t173 () (not @t172)) % 1.12/1.38 (define @t174 () (_ @t167 tptp.hole1)) % 1.12/1.38 (define @t175 () (not @t174)) % 1.12/1.38 (define @t176 () (or @t175 @t173 @t171 @t168)) % 1.12/1.38 (define @t177 () (not @t67)) % 1.12/1.38 (define @t178 () (not @t40)) % 1.12/1.38 (define @t179 () (and @t67 @t40)) % 1.12/1.38 (define @t180 () (and @t88 @t157)) % 1.12/1.38 (define @t181 () (and @t160 @t69 @t40)) % 1.12/1.38 (define @t182 () (and @t88 @t67 @t150)) % 1.12/1.38 (define @t183 () (@list true false false true true false false true true false false true true true true true true true)) % 1.12/1.38 (define @t184 () (not @t112)) % 1.12/1.38 (define @t185 () (and @t112 @t131)) % 1.12/1.38 (define @t186 () (and @t107 @t112)) % 1.12/1.38 (define @t187 () (and @t112 @t67 @t142)) % 1.12/1.38 (define @t188 () (and @t134 @t68 @t40)) % 1.12/1.38 (define @t189 () (and @t89 @t157)) % 1.12/1.38 (define @t190 () (and @t89 @t68 @t150)) % 1.12/1.38 (define @t191 () (@list true true false)) % 1.12/1.38 (define @t192 () (not @t110)) % 1.12/1.38 (define @t193 () (and @t110 @t107)) % 1.12/1.38 (define @t194 () (@list false true)) % 1.12/1.38 (define @t195 () (and @t110 @t69 @t142)) % 1.12/1.38 (define @t196 () (and @t110 @t131)) % 1.12/1.38 (assume @p1 @t12) % 1.12/1.38 (assume @p2 (not @t13)) % 1.12/1.38 (assume @p3 (not @t14)) % 1.12/1.38 (assume @p4 (not @t15)) % 1.12/1.38 (assume @p5 (not @t16)) % 1.12/1.38 (assume @p6 (not @t17)) % 1.12/1.38 (assume @p7 (not @t18)) % 1.12/1.38 (assume @p8 @t29) % 1.12/1.38 (assume @p9 true) % 1.12/1.38 (step @p10 :rule bool-double-not-elim :args (@t32)) % 1.12/1.38 (step @p11 :rule refl :args (@t21)) % 1.12/1.38 (step @p12 :rule refl :args (@t30)) % 1.12/1.38 (step @p13 :rule refl :args (@t23)) % 1.12/1.38 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t23 @t30))) % 1.12/1.38 (step @p15 :rule symm :premises (@p14)) % 1.12/1.38 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 1.12/1.38 (step @p17 :rule refl :args (@t31)) % 1.12/1.38 (step @p18 :rule refl :args (@t24)) % 1.12/1.38 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t24 @t31))) % 1.12/1.38 (step @p20 :rule symm :premises (@p19)) % 1.12/1.38 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 1.12/1.38 (step @p22 :rule cong :premises (@p21 @p16) :args (@t25)) % 1.12/1.38 (step @p23 :rule cong :premises (@p22) :args (@t33)) % 1.12/1.38 (step @p24 :rule nary_cong :premises (@p23 @p11) :args (@t34)) % 1.12/1.38 (step @p25 :rule cong :premises (@p24) :args ((forall @t27 @t34))) % 1.12/1.38 (step @p26 :rule bool-double-not-elim :args (@t21)) % 1.12/1.38 (step @p27 :rule refl :args (@t33)) % 1.12/1.38 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t33 (not @t22)))) % 1.12/1.38 (step @p29 :rule bool-and-de-morgan :args (@t25 @t22 true)) % 1.12/1.38 (step @p30 :rule trans :premises (@p29 @p28)) % 1.12/1.38 (step @p31 :rule cong :premises (@p30) :args (@t35)) % 1.12/1.38 (step @p32 :rule trans :premises (@p31 @p25)) % 1.12/1.38 (step @p33 :rule cong :premises (@p32) :args (@t36)) % 1.12/1.38 (step @p34 :rule exists-elim :args ((= @t28 @t36))) % 1.12/1.38 (step @p35 :rule trans :premises (@p34 @p33)) % 1.12/1.38 (step @p36 :rule cong :premises (@p35) :args (@t29)) % 1.12/1.38 (step @p37 :rule trans :premises (@p36 @p10)) % 1.12/1.38 (step @p38 :rule eq_resolve :premises (@p8 @p37)) % 1.12/1.38 (step @p39 :rule eq-symm :args (tptp.pigeon4 tptp.pigeon1)) % 1.12/1.38 (step @p40 :rule refl :args (@t40)) % 1.12/1.38 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t41)) % 1.12/1.38 (step @p42 :rule refl :args (@t32)) % 1.12/1.38 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t32 @t41))) % 1.12/1.38 (assume-push @p776 @t32) % 1.12/1.38 (step @p45 :rule instantiate :premises (@p38) :args ((@list tptp.pigeon4 tptp.pigeon1))) % 1.12/1.38 (step-pop @p777 :rule scope :premises (@p45)) % 1.12/1.38 (step @p46 :rule process_scope :premises (@p777) :args (@t41)) % 1.12/1.38 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 1.12/1.38 (step @p49 :rule 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(@p62) :args ((forall @t11 (or @t53 @t51 @t49 @t61)))) % 1.12/1.38 (step @p64 :rule trans :premises (@p63 @p54)) % 1.12/1.38 (step @p65 :rule refl :args (@t61)) % 1.12/1.38 (step @p66 :rule refl :args (@t48)) % 1.12/1.38 (step @p67 :rule refl :args (@t6)) % 1.12/1.38 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t6 @t48))) % 1.12/1.38 (step @p69 :rule symm :premises (@p68)) % 1.12/1.38 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 1.12/1.38 (step @p71 :rule cong :premises (@p70) :args (@t62)) % 1.12/1.38 (step @p72 :rule refl :args (@t50)) % 1.12/1.38 (step @p73 :rule refl :args (@t7)) % 1.12/1.38 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t7 @t50))) % 1.12/1.38 (step @p75 :rule symm :premises (@p74)) % 1.12/1.38 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 1.12/1.38 (step @p77 :rule cong :premises (@p76) :args (@t63)) % 1.12/1.38 (step @p78 :rule refl :args (@t52)) % 1.12/1.38 (step @p79 :rule refl :args (@t8)) % 1.12/1.38 (step @p80 :rule cong 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(@p556 @p356 @p425 @p150 @p530 @p53 @p455 @p453 @p503 @p400 @p482 @p178 @p480 @p342 @p312 @p298 @p192 @p273 @p248) :args (@t136 @t183 (@list @t149 @t67 @t70 @t69 @t39 @t160 @t165 @t164 @t156 @t88 @t91 @t90 @t68 @t141 @t89 @t106 @t134 @t130))) % 1.12/1.38 (step @p558 :rule refl :args (@t184)) % 1.12/1.38 (step @p559 :rule nary_cong :premises (@p558 @p250 @p456) :args ((or @t184 @t137 @t169))) % 1.12/1.38 (assume-push @p884 @t112) % 1.12/1.38 (assume-push @p885 @t131) % 1.12/1.38 (assume-push @p886 @t131) % 1.12/1.38 (assume-push @p887 @t112) % 1.12/1.38 (step @p257 :rule false_intro :premises (@p248)) % 1.12/1.38 (step @p258 :rule refl :args (@t37)) % 1.12/1.38 (step @p564 :rule cong :premises (@p884 @p258) :args (@t164)) % 1.12/1.38 (step @p565 :rule trans :premises (@p564 @p257)) % 1.12/1.38 (step @p566 :rule false_elim :premises (@p565)) % 1.12/1.38 (step-pop @p888 :rule scope :premises (@p566)) % 1.12/1.38 (step-pop @p889 :rule scope :premises (@p888)) % 1.12/1.38 (step @p567 :rule process_scope :premises (@p889) :args (@t169)) % 1.12/1.38 (step @p570 :rule and_intro :premises (@p248 @p884)) % 1.12/1.38 (step @p571 :rule modus_ponens :premises (@p570 @p567)) % 1.12/1.38 (step-pop @p890 :rule scope :premises (@p571)) % 1.12/1.38 (step-pop @p891 :rule scope :premises (@p890)) % 1.12/1.38 (step @p572 :rule process_scope :premises (@p891) :args (@t169)) % 1.12/1.38 (step @p575 :rule implies_elim :premises (@p572)) % 1.12/1.38 (step @p576 :rule cnf_and_neg :args (@t185)) % 1.12/1.38 (step @p577 :rule resolution :premises (@p576 @p575) :args (true @t185)) % 1.12/1.38 (step @p578 :rule eq_resolve :premises (@p577 @p559)) % 1.12/1.38 (step @p579 :rule nary_cong :premises (@p275 @p558 @p483) :args ((or @t139 @t184 @t95))) % 1.12/1.38 (assume-push @p892 @t107) % 1.12/1.38 (assume-push @p893 @t112) % 1.12/1.38 (assume-push @p894 @t107) % 1.12/1.38 (assume-push @p895 @t112) % 1.12/1.38 (step @p281 :rule false_intro :premises (@p192)) % 1.12/1.38 (step @p282 :rule refl :args (@t87)) % 1.12/1.38 (step @p584 :rule cong :premises (@p893 @p282) :args (@t88)) % 1.12/1.38 (step @p585 :rule trans :premises (@p584 @p281)) % 1.12/1.38 (step @p586 :rule false_elim :premises (@p585)) % 1.12/1.38 (step-pop @p896 :rule scope :premises (@p586)) % 1.12/1.38 (step-pop @p897 :rule scope :premises (@p896)) % 1.12/1.38 (step @p587 :rule process_scope :premises (@p897) :args (@t95)) % 1.12/1.38 (step @p590 :rule and_intro :premises (@p192 @p893)) % 1.12/1.38 (step @p591 :rule modus_ponens :premises (@p590 @p587)) % 1.12/1.38 (step-pop @p898 :rule scope :premises (@p591)) % 1.12/1.38 (step-pop @p899 :rule scope :premises (@p898)) % 1.12/1.38 (step @p592 :rule process_scope :premises (@p899) :args (@t95)) % 1.12/1.38 (step @p595 :rule implies_elim :premises (@p592)) % 1.12/1.38 (step @p596 :rule cnf_and_neg :args (@t186)) % 1.12/1.38 (step @p597 :rule resolution :premises (@p596 @p595) :args (true @t186)) % 1.12/1.38 (step @p598 :rule eq_resolve :premises (@p597 @p579)) % 1.12/1.38 (step @p599 :rule nary_cong :premises (@p314 @p558 @p458) :args ((or @t146 @t184 @t177))) % 1.12/1.38 (assume-push @p900 @t112) % 1.12/1.38 (assume-push @p901 @t67) % 1.12/1.38 (assume-push @p902 @t142) % 1.12/1.38 (step @p319 :rule evaluate :args (@t147)) % 1.12/1.38 (step @p603 :rule symm :premises (@p901)) % 1.12/1.38 (step @p604 :rule trans :premises (@p603 @p900)) % 1.12/1.38 (step @p605 :rule true_intro :premises (@p604)) % 1.12/1.38 (step @p323 :rule false_intro :premises (@p312)) % 1.12/1.38 (step @p324 :rule symm :premises (@p323)) % 1.12/1.38 (step @p606 :rule trans :premises (@p324 @p605)) % 1.12/1.38 (step @p607 false :rule eq_resolve :premises (@p606 @p319)) % 1.12/1.38 (step-pop @p903 :rule scope :premises (@p607)) % 1.12/1.38 (step-pop @p904 :rule scope :premises (@p903)) % 1.12/1.38 (step-pop @p905 :rule scope :premises (@p904)) % 1.12/1.38 (step @p608 :rule process_scope :premises (@p905) :args (false)) % 1.12/1.38 (assume-push @p906 @t142) % 1.12/1.38 (assume-push @p907 @t112) % 1.12/1.38 (assume-push @p908 @t67) % 1.12/1.38 (step @p615 :rule and_intro :premises (@p907 @p908 @p312)) % 1.12/1.38 (step-pop @p909 :rule scope :premises (@p615)) % 1.12/1.38 (step-pop @p910 :rule scope :premises (@p909)) % 1.12/1.38 (step-pop @p911 :rule scope :premises (@p910)) % 1.12/1.38 (step @p616 :rule process_scope :premises (@p911) :args (@t187)) % 1.12/1.38 (step @p620 :rule implies_elim :premises (@p616)) % 1.12/1.38 (step @p621 :rule resolution :premises (@p620 @p608) :args (true @t187)) % 1.12/1.38 (step @p622 :rule not_and :premises (@p621)) % 1.12/1.38 (step @p623 :rule eq_resolve :premises (@p622 @p599)) % 1.12/1.38 (step @p624 :rule nary_cong :premises (@p313 @p249 @p457) :args ((or @t145 @t135 @t178))) % 1.12/1.38 (assume-push @p912 @t134) % 1.12/1.38 (assume-push @p913 @t68) % 1.12/1.38 (assume-push @p914 @t40) % 1.12/1.38 (step @p319 :rule evaluate :args (@t147)) % 1.12/1.38 (step @p628 :rule symm :premises (@p913)) % 1.12/1.38 (step @p629 :rule trans :premises (@p628 @p912)) % 1.12/1.38 (step @p630 :rule true_intro :premises (@p629)) % 1.12/1.38 (step @p464 :rule false_intro :premises (@p53)) % 1.12/1.38 (step @p511 :rule symm :premises (@p464)) % 1.12/1.38 (step @p631 :rule trans :premises (@p511 @p630)) % 1.12/1.38 (step @p632 false :rule eq_resolve :premises (@p631 @p319)) % 1.12/1.38 (step-pop @p915 :rule scope :premises (@p632)) % 1.12/1.38 (step-pop @p916 :rule scope :premises (@p915)) % 1.12/1.38 (step-pop @p917 :rule scope :premises (@p916)) % 1.12/1.38 (step @p633 :rule process_scope :premises (@p917) :args (false)) % 1.12/1.38 (assume-push @p918 @t68) % 1.12/1.38 (assume-push @p919 @t134) % 1.12/1.38 (assume-push @p920 @t40) % 1.12/1.38 (step @p640 :rule and_intro :premises (@p919 @p918 @p53)) % 1.12/1.38 (step-pop @p921 :rule scope :premises (@p640)) % 1.12/1.38 (step-pop @p922 :rule scope :premises (@p921)) % 1.12/1.38 (step-pop @p923 :rule scope :premises (@p922)) % 1.12/1.38 (step @p641 :rule process_scope :premises (@p923) :args (@t188)) % 1.12/1.38 (step @p645 :rule implies_elim :premises (@p641)) % 1.12/1.38 (step @p646 :rule resolution :premises (@p645 @p633) :args (true @t188)) % 1.12/1.38 (step @p647 :rule not_and :premises (@p646)) % 1.12/1.38 (step @p648 :rule eq_resolve :premises (@p647 @p624)) % 1.12/1.38 (step @p649 :rule reordering :premises (@p648) :args ((or @t145 @t39 @t135))) % 1.12/1.38 (step @p650 :rule chain_m_resolution :premises (@p423 @p400 @p455 @p453 @p649 @p53 @p425 @p150 @p386 @p356) :args ((or @t101 @t67 @t164) (@list true false false true true false false true true) (@list @t156 @t160 @t165 @t134 @t39 @t68 @t70 @t69 @t149))) % 1.12/1.38 (step @p651 :rule nary_cong :premises (@p274 @p402 @p249) :args ((or @t98 @t162 @t135))) % 1.12/1.38 (assume-push @p924 @t89) % 1.12/1.38 (assume-push @p925 @t157) % 1.12/1.38 (assume-push @p926 @t157) % 1.12/1.38 (assume-push @p927 @t89) % 1.12/1.38 (step @p408 :rule false_intro :premises (@p400)) % 1.12/1.38 (step @p258 :rule refl :args (@t37)) % 1.12/1.38 (step @p656 :rule cong :premises (@p924 @p258) :args (@t134)) % 1.12/1.38 (step @p657 :rule trans :premises (@p656 @p408)) % 1.12/1.38 (step @p658 :rule false_elim :premises (@p657)) % 1.12/1.38 (step-pop @p928 :rule scope :premises (@p658)) % 1.12/1.38 (step-pop @p929 :rule scope :premises (@p928)) % 1.12/1.38 (step @p659 :rule process_scope :premises (@p929) :args (@t135)) % 1.12/1.38 (step @p662 :rule and_intro :premises (@p400 @p924)) % 1.12/1.38 (step @p663 :rule modus_ponens :premises (@p662 @p659)) % 1.12/1.38 (step-pop @p930 :rule scope :premises (@p663)) % 1.12/1.38 (step-pop @p931 :rule scope :premises (@p930)) % 1.12/1.38 (step @p664 :rule process_scope :premises (@p931) :args (@t135)) % 1.12/1.38 (step @p667 :rule implies_elim :premises (@p664)) % 1.12/1.38 (step @p668 :rule cnf_and_neg :args (@t189)) % 1.12/1.38 (step @p669 :rule resolution :premises (@p668 @p667) :args (true @t189)) % 1.12/1.38 (step @p670 :rule eq_resolve :premises (@p669 @p651)) % 1.12/1.38 (step @p671 :rule nary_cong :premises (@p359 @p274 @p313) :args ((or @t154 @t98 @t145))) % 1.12/1.38 (assume-push @p932 @t89) % 1.12/1.38 (assume-push @p933 @t68) % 1.12/1.38 (assume-push @p934 @t150) % 1.12/1.38 (step @p319 :rule evaluate :args (@t147)) % 1.12/1.38 (step @p675 :rule symm :premises (@p933)) % 1.12/1.38 (step @p676 :rule trans :premises (@p675 @p932)) % 1.12/1.38 (step @p677 :rule true_intro :premises (@p676)) % 1.12/1.38 (step @p367 :rule false_intro :premises (@p356)) % 1.12/1.38 (step @p368 :rule symm :premises (@p367)) % 1.12/1.38 (step @p678 :rule trans :premises (@p368 @p677)) % 1.12/1.38 (step @p679 false :rule eq_resolve :premises (@p678 @p319)) % 1.12/1.38 (step-pop @p935 :rule scope :premises (@p679)) % 1.12/1.38 (step-pop @p936 :rule scope :premises (@p935)) % 1.12/1.38 (step-pop @p937 :rule scope :premises (@p936)) % 1.12/1.38 (step @p680 :rule process_scope :premises (@p937) :args (false)) % 1.12/1.38 (assume-push @p938 @t150) % 1.12/1.38 (assume-push @p939 @t89) % 1.12/1.38 (assume-push @p940 @t68) % 1.12/1.38 (step @p687 :rule and_intro :premises (@p939 @p940 @p356)) % 1.12/1.38 (step-pop @p941 :rule scope :premises (@p687)) % 1.12/1.38 (step-pop @p942 :rule scope :premises (@p941)) % 1.12/1.38 (step-pop @p943 :rule scope :premises (@p942)) % 1.12/1.38 (step @p688 :rule process_scope :premises (@p943) :args (@t190)) % 1.12/1.38 (step @p692 :rule implies_elim :premises (@p688)) % 1.12/1.38 (step @p693 :rule resolution :premises (@p692 @p680) :args (true @t190)) % 1.12/1.38 (step @p694 :rule not_and :premises (@p693)) % 1.12/1.38 (step @p695 :rule eq_resolve :premises (@p694 @p671)) % 1.12/1.38 (step @p696 :rule chain_m_resolution :premises (@p695 @p356 @p425 @p150 @p530 @p53 @p455 @p453 @p670 @p400 @p482 @p178 @p650 @p623 @p312 @p598 @p192 @p578 @p248) :args (@t184 @t183 (@list @t149 @t68 @t70 @t69 @t39 @t160 @t165 @t134 @t156 @t89 @t91 @t90 @t67 @t141 @t88 @t106 @t164 @t130))) % 1.12/1.38 (step @p697 :rule cnf_or_pos :args (@t113)) % 1.12/1.38 (step @p698 :rule reordering :premises (@p697) :args ((or @t110 @t112 @t111 (not @t113)))) % 1.12/1.38 (step @p699 :rule chain_m_resolution :premises (@p698 @p696 @p557 @p234) :args (@t110 @t191 (@list @t112 @t111 @t113))) % 1.12/1.38 (step @p700 :rule refl :args (@t192)) % 1.12/1.38 (step @p701 :rule nary_cong :premises (@p700 @p275 @p358) :args ((or @t192 @t139 @t101))) % 1.12/1.38 (assume-push @p944 @t110) % 1.12/1.38 (assume-push @p945 @t107) % 1.12/1.38 (assume-push @p946 @t107) % 1.12/1.38 (assume-push @p947 @t110) % 1.12/1.38 (step @p281 :rule false_intro :premises (@p192)) % 1.12/1.38 (step @p282 :rule refl :args (@t87)) % 1.12/1.38 (step @p706 :rule cong :premises (@p944 @p282) :args (@t90)) % 1.12/1.38 (step @p707 :rule trans :premises (@p706 @p281)) % 1.12/1.38 (step @p708 :rule false_elim :premises (@p707)) % 1.12/1.38 (step-pop @p948 :rule scope :premises (@p708)) % 1.12/1.38 (step-pop @p949 :rule scope :premises (@p948)) % 1.12/1.38 (step @p709 :rule process_scope :premises (@p949) :args (@t101)) % 1.12/1.38 (step @p712 :rule and_intro :premises (@p192 @p944)) % 1.12/1.38 (step @p713 :rule modus_ponens :premises (@p712 @p709)) % 1.12/1.38 (step-pop @p950 :rule scope :premises (@p713)) % 1.12/1.38 (step-pop @p951 :rule scope :premises (@p950)) % 1.12/1.38 (step @p714 :rule process_scope :premises (@p951) :args (@t101)) % 1.12/1.38 (step @p717 :rule implies_elim :premises (@p714)) % 1.12/1.38 (step @p718 :rule cnf_and_neg :args (@t193)) % 1.12/1.38 (step @p719 :rule resolution :premises (@p718 @p717) :args (true @t193)) % 1.12/1.38 (step @p720 :rule eq_resolve :premises (@p719 @p701)) % 1.12/1.38 (step @p721 :rule chain_m_resolution :premises (@p720 @p699 @p192) :args (@t101 @t194 (@list @t110 @t106))) % 1.12/1.38 (step @p722 :rule nary_cong :premises (@p314 @p700 @p357) :args ((or @t146 @t192 @t153))) % 1.12/1.38 (assume-push @p952 @t110) % 1.12/1.38 (assume-push @p953 @t69) % 1.12/1.38 (assume-push @p954 @t142) % 1.12/1.38 (step @p319 :rule evaluate :args (@t147)) % 1.12/1.38 (step @p726 :rule symm :premises (@p953)) % 1.12/1.38 (step @p727 :rule trans :premises (@p726 @p952)) % 1.12/1.38 (step @p728 :rule true_intro :premises (@p727)) % 1.12/1.38 (step @p323 :rule false_intro :premises (@p312)) % 1.12/1.38 (step @p324 :rule symm :premises (@p323)) % 1.12/1.38 (step @p729 :rule trans :premises (@p324 @p728)) % 1.12/1.38 (step @p730 false :rule eq_resolve :premises (@p729 @p319)) % 1.12/1.39 (step-pop @p955 :rule scope :premises (@p730)) % 1.12/1.39 (step-pop @p956 :rule scope :premises (@p955)) % 1.12/1.39 (step-pop @p957 :rule scope :premises (@p956)) % 1.12/1.39 (step @p731 :rule process_scope :premises (@p957) :args (false)) % 1.12/1.39 (assume-push @p958 @t142) % 1.12/1.39 (assume-push @p959 @t110) % 1.12/1.39 (assume-push @p960 @t69) % 1.12/1.39 (step @p738 :rule and_intro :premises (@p959 @p960 @p312)) % 1.12/1.39 (step-pop @p961 :rule scope :premises (@p738)) % 1.12/1.39 (step-pop @p962 :rule scope :premises (@p961)) % 1.12/1.39 (step-pop @p963 :rule scope :premises (@p962)) % 1.12/1.39 (step @p739 :rule process_scope :premises (@p963) :args (@t195)) % 1.12/1.39 (step @p743 :rule implies_elim :premises (@p739)) % 1.12/1.39 (step @p744 :rule resolution :premises (@p743 @p731) :args (true @t195)) % 1.12/1.39 (step @p745 :rule not_and :premises (@p744)) % 1.12/1.39 (step @p746 :rule eq_resolve :premises (@p745 @p722)) % 1.12/1.39 (step @p747 :rule chain_m_resolution :premises (@p746 @p312 @p699) :args (@t153 @t45 (@list @t141 @t110))) % 1.12/1.39 (step @p748 :rule nary_cong :premises (@p700 @p250 @p401) :args ((or @t192 @t137 @t161))) % 1.12/1.39 (assume-push @p964 @t110) % 1.12/1.39 (assume-push @p965 @t131) % 1.12/1.39 (assume-push @p966 @t131) % 1.12/1.39 (assume-push @p967 @t110) % 1.12/1.39 (step @p257 :rule false_intro :premises (@p248)) % 1.12/1.39 (step @p258 :rule refl :args (@t37)) % 1.12/1.39 (step @p753 :rule cong :premises (@p964 @p258) :args (@t160)) % 1.12/1.39 (step @p754 :rule trans :premises (@p753 @p257)) % 1.12/1.39 (step @p755 :rule false_elim :premises (@p754)) % 1.12/1.39 (step-pop @p968 :rule scope :premises (@p755)) % 1.12/1.39 (step-pop @p969 :rule scope :premises (@p968)) % 1.12/1.39 (step @p756 :rule process_scope :premises (@p969) :args (@t161)) % 1.12/1.39 (step @p759 :rule and_intro :premises (@p248 @p964)) % 1.12/1.39 (step @p760 :rule modus_ponens :premises (@p759 @p756)) % 1.12/1.39 (step-pop @p970 :rule scope :premises (@p760)) % 1.12/1.39 (step-pop @p971 :rule scope :premises (@p970)) % 1.12/1.39 (step @p761 :rule process_scope :premises (@p971) :args (@t161)) % 1.12/1.39 (step @p764 :rule implies_elim :premises (@p761)) % 1.12/1.39 (step @p765 :rule cnf_and_neg :args (@t196)) % 1.12/1.39 (step @p766 :rule resolution :premises (@p765 @p764) :args (true @t196)) % 1.12/1.39 (step @p767 :rule eq_resolve :premises (@p766 @p748)) % 1.12/1.39 (step @p768 :rule chain_m_resolution :premises (@p767 @p699 @p248) :args (@t161 @t194 (@list @t110 @t130))) % 1.12/1.39 (step @p769 :rule chain_m_resolution :premises (@p479 @p53 @p455 @p453 @p768 @p425 @p150 @p747 @p670 @p400 @p695 @p356) :args (@t98 (@list true false false true false false true true true true true) (@list @t39 @t164 @t165 @t160 @t67 @t70 @t69 @t134 @t156 @t68 @t149))) % 1.12/1.39 (step @p770 :rule chain_m_resolution :premises (@p482 @p769 @p721 @p178) :args (@t88 @t191 (@list @t89 @t90 @t91))) % 1.12/1.39 (step @p771 :rule chain_m_resolution :premises (@p556 @p356 @p770) :args (@t177 @t45 (@list @t149 @t88))) % 1.12/1.39 (step @p772 :rule chain_m_resolution :premises (@p425 @p747 @p771 @p150) :args (@t68 @t191 (@list @t69 @t67 @t70))) % 1.12/1.39 (step @p773 :rule chain_m_resolution :premises (@p503 @p770 @p400) :args (@t169 @t194 (@list @t88 @t156))) % 1.12/1.39 (step @p774 :rule chain_m_resolution :premises (@p455 @p768 @p773 @p453) :args (@t134 @t191 (@list @t160 @t164 @t165))) % 1.12/1.39 (step @p775 false :rule chain_m_resolution :premises (@p649 @p774 @p772 @p53) :args (false (@list false false true) (@list @t134 @t68 @t39))) % 1.12/1.39 ) % 1.12/1.39 % SZS output end Proof % 1.12/1.39 % cvc5 exiting %------------------------------------------------------------------------------