%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM835+1 : TPTP v9.2.1. Released v4.1.0. % 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 08:40:46 AM UTC 2026 % Result : Theorem 15.44s 15.72s % Output : Proof 15.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM835+1 : TPTP v9.2.1. Released v4.1.0. % 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 12:28:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.44/15.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.44/15.72 --- Run --no-e-matching --full-saturate-quant at 6... % 15.44/15.72 % SZS status Theorem % 15.44/15.72 % SZS output start Proof % 15.44/15.72 ( % 15.44/15.72 (declare-sort $$unsorted 0) % 15.44/15.72 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 15.44/15.72 (declare-const tptp.vskolem3 $$unsorted) % 15.44/15.72 (declare-const tptp.m (-> $$unsorted Bool)) % 15.44/15.72 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.72 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 15.44/15.72 (declare-const tptp.vd151 $$unsorted) % 15.44/15.72 (declare-const tptp.v1 $$unsorted) % 15.44/15.72 (declare-const tptp.vd165 $$unsorted) % 15.44/15.72 (define @t1 () (= tptp.vd151 tptp.vd165)) % 15.44/15.72 (define @t2 () (@var "Vd170" $$unsorted)) % 15.44/15.72 (define @t3 () (= tptp.vd151 (tptp.vplus tptp.vd165 @t2))) % 15.44/15.72 (define @t4 () (@list @t2)) % 15.44/15.72 (define @t5 () (exists @t4 @t3)) % 15.44/15.72 (define @t6 () (@var "Vd180" $$unsorted)) % 15.44/15.72 (define @t7 () (tptp.vplus tptp.vd151 @t6)) % 15.44/15.72 (define @t8 () (= tptp.vd165 @t7)) % 15.44/15.72 (define @t9 () (@list @t6)) % 15.44/15.72 (define @t10 () (exists @t9 @t8)) % 15.44/15.72 (define @t11 () (or @t10 @t5 @t1)) % 15.44/15.72 (define @t12 () (not @t11)) % 15.44/15.72 (define @t13 () (tptp.vsucc tptp.vd165)) % 15.44/15.72 (define @t14 () (tptp.m @t13)) % 15.44/15.72 (define @t15 () (tptp.vsucc @t7)) % 15.44/15.72 (define @t16 () (= @t2 tptp.v1)) % 15.44/15.72 (define @t17 () (not @t16)) % 15.44/15.72 (define @t18 () (tptp.vplus tptp.vd165 tptp.v1)) % 15.44/15.72 (define @t19 () (tptp.vplus @t18 tptp.vskolem3)) % 15.44/15.72 (define @t20 () (tptp.vplus tptp.v1 tptp.vskolem3)) % 15.44/15.72 (define @t21 () (tptp.vplus tptp.vd165 @t20)) % 15.44/15.72 (define @t22 () (tptp.vsucc tptp.vskolem3)) % 15.44/15.72 (define @t23 () (tptp.m tptp.vd165)) % 15.44/15.72 (define @t24 () (@var "Vd162" $$unsorted)) % 15.44/15.72 (define @t25 () (tptp.vsucc @t24)) % 15.44/15.72 (define @t26 () (= tptp.vd151 @t25)) % 15.44/15.72 (define @t27 () (tptp.vplus tptp.v1 @t24)) % 15.44/15.72 (define @t28 () (= @t25 @t27)) % 15.44/15.72 (define @t29 () (@var "Vd159" $$unsorted)) % 15.44/15.72 (define @t30 () (= @t27 (tptp.vplus @t29 @t24))) % 15.44/15.72 (define @t31 () (and @t30 @t28 @t26)) % 15.44/15.72 (define @t32 () (@list @t24)) % 15.44/15.72 (define @t33 () (exists @t32 @t31)) % 15.44/15.72 (define @t34 () (= tptp.vd151 tptp.v1)) % 15.44/15.72 (define @t35 () (= tptp.v1 @t29)) % 15.44/15.72 (define @t36 () (and @t35 @t34)) % 15.44/15.72 (define @t37 () (or @t36 @t33)) % 15.44/15.72 (define @t38 () (= @t29 tptp.v1)) % 15.44/15.72 (define @t39 () (=> @t38 @t37)) % 15.44/15.72 (define @t40 () (@list @t29)) % 15.44/15.72 (define @t41 () (forall @t40 @t39)) % 15.44/15.72 (define @t42 () (@var "Vd157" $$unsorted)) % 15.44/15.72 (define @t43 () (@var "Vd151" $$unsorted)) % 15.44/15.72 (define @t44 () (@var "Vd152" $$unsorted)) % 15.44/15.72 (define @t45 () (= @t44 (tptp.vplus @t43 @t42))) % 15.44/15.72 (define @t46 () (@list @t42)) % 15.44/15.72 (define @t47 () (exists @t46 @t45)) % 15.44/15.72 (define @t48 () (@var "Vd155" $$unsorted)) % 15.44/15.72 (define @t49 () (= @t43 (tptp.vplus @t44 @t48))) % 15.44/15.72 (define @t50 () (@list @t48)) % 15.44/15.72 (define @t51 () (exists @t50 @t49)) % 15.44/15.72 (define @t52 () (= @t43 @t44)) % 15.44/15.72 (define @t53 () (or @t52 @t51 @t47)) % 15.44/15.72 (define @t54 () (tptp.m @t44)) % 15.44/15.72 (define @t55 () (= @t54 @t53)) % 15.44/15.72 (define @t56 () (@list @t43 @t44)) % 15.44/15.72 (define @t57 () (forall @t56 @t55)) % 15.44/15.72 (define @t58 () (@var "Vd149" $$unsorted)) % 15.44/15.72 (define @t59 () (@var "Vd144" $$unsorted)) % 15.44/15.72 (define @t60 () (@var "Vd145" $$unsorted)) % 15.44/15.72 (define @t61 () (not (exists (@list @t58) (= @t60 (tptp.vplus @t59 @t58))))) % 15.44/15.72 (define @t62 () (not (= @t59 @t60))) % 15.44/15.72 (define @t63 () (@list @t59 @t60)) % 15.44/15.72 (define @t64 () (@var "Vd147" $$unsorted)) % 15.44/15.72 (define @t65 () (not (exists (@list @t64) (= @t59 (tptp.vplus @t60 @t64))))) % 15.44/15.72 (define @t66 () (@var "Vd140" $$unsorted)) % 15.44/15.72 (define @t67 () (@var "Vd128" $$unsorted)) % 15.44/15.72 (define @t68 () (@var "Vd127" $$unsorted)) % 15.44/15.72 (define @t69 () (@var "Vd142" $$unsorted)) % 15.44/15.72 (define @t70 () (@list @t68 @t67)) % 15.44/15.72 (define @t71 () (@var "Vd135" $$unsorted)) % 15.44/15.72 (define @t72 () (@var "Vd137" $$unsorted)) % 15.44/15.72 (define @t73 () (= @t68 @t67)) % 15.44/15.72 (define @t74 () (@var "Vd133" $$unsorted)) % 15.44/15.72 (define @t75 () (@var "Vd130" $$unsorted)) % 15.44/15.72 (define @t76 () (@var "Vd105" $$unsorted)) % 15.44/15.72 (define @t77 () (@var "Vd107" $$unsorted)) % 15.44/15.72 (define @t78 () (@var "Vd104" $$unsorted)) % 15.44/15.72 (define @t79 () (@var "Vd93" $$unsorted)) % 15.44/15.72 (define @t80 () (@var "Vd92" $$unsorted)) % 15.44/15.72 (define @t81 () (@var "Vd79" $$unsorted)) % 15.44/15.72 (define @t82 () (@var "Vd78" $$unsorted)) % 15.44/15.72 (define @t83 () (@var "Vd69" $$unsorted)) % 15.44/15.72 (define @t84 () (@var "Vd68" $$unsorted)) % 15.44/15.72 (define @t85 () (@var "Vd59" $$unsorted)) % 15.44/15.72 (define @t86 () (@var "Vd48" $$unsorted)) % 15.44/15.72 (define @t87 () (@var "Vd47" $$unsorted)) % 15.44/15.72 (define @t88 () (@var "Vd46" $$unsorted)) % 15.44/15.72 (define @t89 () (@var "Vd42" $$unsorted)) % 15.44/15.72 (define @t90 () (@var "Vd43" $$unsorted)) % 15.44/15.72 (define @t91 () (@var "Vd24" $$unsorted)) % 15.44/15.72 (define @t92 () (@var "Vd16" $$unsorted)) % 15.44/15.72 (define @t93 () (@var "Vd8" $$unsorted)) % 15.44/15.72 (define @t94 () (@var "Vd7" $$unsorted)) % 15.44/15.72 (define @t95 () (@var "Vd4" $$unsorted)) % 15.44/15.72 (define @t96 () (@var "Vd3" $$unsorted)) % 15.44/15.72 (define @t97 () (@var "Vd1" $$unsorted)) % 15.44/15.72 (define @t98 () (not (forall @t46 (not @t45)))) % 15.44/15.72 (define @t99 () (not (forall @t50 (not @t49)))) % 15.44/15.72 (define @t100 () (forall @t46 (not (= tptp.vd151 (tptp.vplus tptp.vd165 @t42))))) % 15.44/15.72 (define @t101 () (not @t100)) % 15.44/15.72 (define @t102 () (tptp.vplus tptp.vd151 @t48)) % 15.44/15.72 (define @t103 () (forall @t50 (not (= tptp.vd165 @t102)))) % 15.44/15.72 (define @t104 () (not @t103)) % 15.44/15.72 (define @t105 () (or (= tptp.vd165 tptp.vd151) @t104 @t101)) % 15.44/15.72 (define @t106 () (tptp.m tptp.vd151)) % 15.44/15.72 (define @t107 () (= @t106 @t105)) % 15.44/15.72 (define @t108 () (forall @t56 (= @t54 (or @t52 @t99 @t98)))) % 15.44/15.72 (define @t109 () (or @t1 @t104 @t101)) % 15.44/15.72 (define @t110 () (= @t106 @t109)) % 15.44/15.72 (define @t111 () (@list false)) % 15.44/15.72 (define @t112 () (@list @t108)) % 15.44/15.72 (define @t113 () (forall @t4 (not @t3))) % 15.44/15.72 (define @t114 () (forall @t9 (not @t8))) % 15.44/15.72 (define @t115 () (not @t109)) % 15.44/15.72 (define @t116 () (not @t106)) % 15.44/15.72 (define @t117 () (= tptp.vd165 tptp.v1)) % 15.44/15.72 (define @t118 () (not @t117)) % 15.44/15.72 (define @t119 () (not @t34)) % 15.44/15.72 (define @t120 () (not @t1)) % 15.44/15.72 (define @t121 () (and @t34 @t117 @t120)) % 15.44/15.72 (define @t122 () (forall @t50 (not (= tptp.v1 (tptp.vplus tptp.vd165 @t48))))) % 15.44/15.72 (define @t123 () (@quantifiers_skolemize @t122 0)) % 15.44/15.72 (define @t124 () (tptp.vplus tptp.vd165 @t123)) % 15.44/15.72 (define @t125 () (= tptp.v1 @t124)) % 15.44/15.72 (define @t126 () (not @t125)) % 15.44/15.72 (define @t127 () (= tptp.vd151 @t124)) % 15.44/15.72 (define @t128 () (not @t127)) % 15.44/15.72 (define @t129 () (and @t34 @t128)) % 15.44/15.72 (define @t130 () (forall @t46 (not (= tptp.vd165 (tptp.vplus tptp.v1 @t42))))) % 15.44/15.72 (define @t131 () (@quantifiers_skolemize @t130 0)) % 15.44/15.72 (define @t132 () (tptp.vplus tptp.v1 @t131)) % 15.44/15.72 (define @t133 () (= tptp.vd165 @t132)) % 15.44/15.72 (define @t134 () (not @t133)) % 15.44/15.72 (define @t135 () (= tptp.vd165 (tptp.vplus tptp.vd151 @t131))) % 15.44/15.72 (define @t136 () (not @t135)) % 15.44/15.72 (define @t137 () (and @t34 @t136)) % 15.44/15.72 (define @t138 () (not @t122)) % 15.44/15.72 (define @t139 () (not @t126)) % 15.44/15.72 (define @t140 () (not @t130)) % 15.44/15.72 (define @t141 () (not @t134)) % 15.44/15.72 (define @t142 () (or (= tptp.v1 tptp.vd165) @t138 @t140)) % 15.44/15.72 (define @t143 () (= @t23 @t142)) % 15.44/15.72 (define @t144 () (or @t117 @t138 @t140)) % 15.44/15.72 (define @t145 () (= @t23 @t144)) % 15.44/15.72 (define @t146 () (not @t26)) % 15.44/15.72 (define @t147 () (not @t28)) % 15.44/15.72 (define @t148 () (or @t147 @t146)) % 15.44/15.72 (define @t149 () (forall @t32 @t148)) % 15.44/15.72 (define @t150 () (not @t149)) % 15.44/15.72 (define @t151 () (not (= @t27 @t27))) % 15.44/15.72 (define @t152 () (or @t151 @t147 @t146)) % 15.44/15.72 (define @t153 () (forall @t32 @t152)) % 15.44/15.72 (define @t154 () (not @t153)) % 15.44/15.72 (define @t155 () (= tptp.v1 tptp.v1)) % 15.44/15.72 (define @t156 () (and @t155 @t34)) % 15.44/15.72 (define @t157 () (not @t155)) % 15.44/15.72 (define @t158 () (or @t157 @t156 @t154)) % 15.44/15.72 (define @t159 () (not @t30)) % 15.44/15.72 (define @t160 () (or @t159 @t147 @t146)) % 15.44/15.72 (define @t161 () (not (forall @t32 @t160))) % 15.44/15.72 (define @t162 () (not @t35)) % 15.44/15.72 (define @t163 () (or @t162 @t162 @t36 @t161)) % 15.44/15.72 (define @t164 () (or @t162 @t36 @t161)) % 15.44/15.72 (define @t165 () (or @t36 @t161)) % 15.44/15.72 (define @t166 () (forall @t32 (not @t31))) % 15.44/15.72 (define @t167 () (not @t166)) % 15.44/15.72 (define @t168 () (@list true)) % 15.44/15.72 (define @t169 () (@quantifiers_skolemize @t149 0)) % 15.44/15.72 (define @t170 () (tptp.vsucc @t169)) % 15.44/15.72 (define @t171 () (= tptp.vd151 @t170)) % 15.44/15.72 (define @t172 () (not @t171)) % 15.44/15.72 (define @t173 () (or (not (= @t170 (tptp.vplus tptp.v1 @t169))) @t172)) % 15.44/15.72 (define @t174 () (not @t173)) % 15.44/15.72 (define @t175 () (not (forall @t46 (not (= tptp.vd151 (tptp.vplus @t170 @t42)))))) % 15.44/15.72 (define @t176 () (not (forall @t50 (not (= @t170 @t102))))) % 15.44/15.72 (define @t177 () (or @t171 @t176 @t175)) % 15.44/15.72 (define @t178 () (or (= @t170 tptp.vd151) @t176 @t175)) % 15.44/15.72 (define @t179 () (= @t106 @t178)) % 15.44/15.72 (define @t180 () (= @t106 @t177)) % 15.44/15.72 (assume @p1 @t12) % 15.44/15.72 (assume @p2 (forall @t9 (=> @t8 @t14))) % 15.44/15.72 (assume @p3 (forall @t9 (=> @t8 (= @t15 (tptp.vplus tptp.vd151 (tptp.vsucc @t6)))))) % 15.44/15.72 (assume @p4 (forall @t9 (=> @t8 (= @t13 @t15)))) % 15.44/15.72 (assume @p5 (forall @t4 (=> @t3 (=> @t17 @t14)))) % 15.44/15.72 (assume @p6 (forall @t4 (=> @t3 (=> @t17 (= @t19 (tptp.vplus @t13 tptp.vskolem3)))))) % 15.44/15.72 (assume @p7 (forall @t4 (=> @t3 (=> @t17 (= @t21 @t19))))) % 15.44/15.72 (assume @p8 (forall @t4 (=> @t3 (=> @t17 (= tptp.vd151 @t21))))) % 15.44/15.72 (assume @p9 (forall @t4 (=> @t3 (=> @t17 (= @t22 @t20))))) % 15.44/15.72 (assume @p10 (forall @t4 (=> @t3 (=> @t17 (= @t2 @t22))))) % 15.44/15.72 (assume @p11 (forall @t4 (=> @t3 (=> @t16 @t14)))) % 15.44/15.72 (assume @p12 (forall @t4 (=> @t3 (=> @t16 (= @t18 @t13))))) % 15.44/15.72 (assume @p13 (forall @t4 (=> @t3 (=> @t16 (= tptp.vd151 @t18))))) % 15.44/15.72 (assume @p14 (=> @t1 @t14)) % 15.44/15.72 (assume @p15 (=> @t1 (= @t18 (tptp.vplus tptp.vd151 tptp.v1)))) % 15.44/15.72 (assume @p16 (=> @t1 (= @t13 @t18))) % 15.44/15.72 (assume @p17 @t23) % 15.44/15.72 (assume @p18 (tptp.m tptp.v1)) % 15.44/15.72 (assume @p19 @t41) % 15.44/15.72 (assume @p20 @t57) % 15.44/15.72 (assume @p21 (forall @t63 (or @t62 @t61))) % 15.44/15.72 (assume @p22 (forall @t63 (or @t65 @t61))) % 15.44/15.72 (assume @p23 (forall @t63 (or @t62 @t65))) % 15.44/15.72 (assume @p24 (forall @t70 (not (exists (@list @t66 @t69) (and (= @t67 (tptp.vplus @t68 @t69)) (= @t68 (tptp.vplus @t67 @t66))))))) % 15.44/15.72 (assume @p25 (forall (@list @t68 @t67 @t71 @t72) (not (and (= @t67 (tptp.vplus @t68 @t72)) (= @t68 (tptp.vplus @t67 @t71)))))) % 15.44/15.72 (assume @p26 (forall @t70 (not (exists (@list @t74) (and (= @t67 (tptp.vplus @t68 @t74)) @t73))))) % 15.44/15.72 (assume @p27 (forall @t70 (not (exists (@list @t75) (and (= @t68 (tptp.vplus @t67 @t75)) @t73))))) % 15.44/15.72 (assume @p28 (forall (@list @t78 @t76) (=> (not (= @t78 @t76)) (forall (@list @t77) (not (= (tptp.vplus @t77 @t78) (tptp.vplus @t77 @t76))))))) % 15.44/15.72 (assume @p29 (forall (@list @t80 @t79) (not (= @t79 (tptp.vplus @t80 @t79))))) % 15.44/15.72 (assume @p30 (forall (@list @t82 @t81) (= (tptp.vplus @t81 @t82) (tptp.vplus @t82 @t81)))) % 15.44/15.72 (assume @p31 (forall (@list @t84 @t83) (= (tptp.vplus (tptp.vsucc @t84) @t83) (tptp.vsucc (tptp.vplus @t84 @t83))))) % 15.44/15.72 (assume @p32 (forall (@list @t85) (= (tptp.vplus tptp.v1 @t85) (tptp.vsucc @t85)))) % 15.44/15.72 (assume @p33 (forall (@list @t88 @t87 @t86) (= (tptp.vplus (tptp.vplus @t88 @t87) @t86) (tptp.vplus @t88 (tptp.vplus @t87 @t86))))) % 15.44/15.72 (assume @p34 (forall (@list @t89 @t90) (and (= (tptp.vplus @t89 (tptp.vsucc @t90)) (tptp.vsucc (tptp.vplus @t89 @t90))) (= (tptp.vplus @t89 tptp.v1) (tptp.vsucc @t89))))) % 15.44/15.72 (assume @p35 (forall (@list @t91) (=> (not (= @t91 tptp.v1)) (= @t91 (tptp.vsucc (tptp.vskolem2 @t91)))))) % 15.44/15.72 (assume @p36 (forall (@list @t92) (not (= (tptp.vsucc @t92) @t92)))) % 15.44/15.72 (assume @p37 (forall (@list @t94 @t93) (=> (not (= @t94 @t93)) (not (= (tptp.vsucc @t94) (tptp.vsucc @t93)))))) % 15.44/15.72 (assume @p38 (forall (@list @t96 @t95) (=> (= (tptp.vsucc @t96) (tptp.vsucc @t95)) (= @t96 @t95)))) % 15.44/15.72 (assume @p39 (forall (@list @t97) (not (= (tptp.vsucc @t97) tptp.v1)))) % 15.44/15.72 (assume @p40 true) % 15.44/15.72 (step @p41 :rule exists-elim :args ((= @t47 @t98))) % 15.44/15.72 (step @p42 :rule exists-elim :args ((= @t51 @t99))) % 15.44/15.72 (step @p43 :rule refl :args (@t52)) % 15.44/15.72 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t53)) % 15.44/15.72 (step @p45 :rule refl :args (@t54)) % 15.44/15.72 (step @p46 :rule cong :premises (@p45 @p44) :args (@t55)) % 15.44/15.72 (step @p47 :rule cong :premises (@p46) :args (@t57)) % 15.44/15.72 (step @p48 :rule eq_resolve :premises (@p20 @p47)) % 15.44/15.72 (step @p49 :rule refl :args (@t101)) % 15.44/15.72 (step @p50 :rule refl :args (@t104)) % 15.44/15.72 (step @p51 :rule eq-symm :args (tptp.vd165 tptp.vd151)) % 15.44/15.72 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t105)) % 15.44/15.72 (step @p53 :rule refl :args (@t106)) % 15.44/15.72 (step @p54 :rule cong :premises (@p53 @p52) :args (@t107)) % 15.44/15.72 (step @p55 :rule refl :args (@t108)) % 15.44/15.72 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t108 @t107))) % 15.44/15.72 (assume-push @p312 @t108) % 15.44/15.72 (step @p58 :rule instantiate :premises (@p48) :args ((@list tptp.vd165 tptp.vd151))) % 15.44/15.72 (step-pop @p313 :rule scope :premises (@p58)) % 15.44/15.72 (step @p59 :rule process_scope :premises (@p313) :args (@t107)) % 15.44/15.72 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 15.44/15.72 (step @p62 :rule 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15.44/15.72 (step @p76 :rule not_not_elim :premises (@p75)) % 15.44/15.72 (step @p77 :rule alpha_equiv :args (@t114 (@list @t6) (@list @t48))) % 15.44/15.72 (step @p78 :rule equiv_elim1 :premises (@p77)) % 15.44/15.72 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t103 @t111 (@list @t114))) % 15.44/15.72 (step @p80 :rule not_or_elim :premises (@p69) :args (2)) % 15.44/15.72 (step @p81 :rule cnf_or_pos :args (@t109)) % 15.44/15.72 (step @p82 :rule reordering :premises (@p81) :args ((or @t1 @t104 @t101 @t115))) % 15.44/15.72 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p79 @p74) :args (@t115 (@list true false false) (@list @t1 @t103 @t100))) % 15.44/15.72 (step @p84 :rule cnf_equiv_pos1 :args (@t110)) % 15.44/15.72 (step @p85 :rule reordering :premises (@p84) :args ((or @t109 @t116 (not @t110)))) % 15.44/15.72 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p63) :args (@t116 (@list true false) (@list @t109 @t110))) % 15.44/15.72 (step @p87 :rule 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@p319 :rule scope :premises (@p318)) % 15.44/15.72 (step @p102 :rule process_scope :premises (@p319) :args (false)) % 15.44/15.72 (assume-push @p320 @t34) % 15.44/15.72 (assume-push @p321 @t120) % 15.44/15.72 (assume-push @p322 @t117) % 15.44/15.72 (step @p109 :rule and_intro :premises (@p320 @p322 @p80)) % 15.44/15.72 (step-pop @p323 :rule scope :premises (@p109)) % 15.44/15.72 (step-pop @p324 :rule scope :premises (@p323)) % 15.44/15.72 (step-pop @p325 :rule scope :premises (@p324)) % 15.44/15.72 (step @p110 :rule process_scope :premises (@p325) :args (@t121)) % 15.44/15.72 (step @p114 :rule implies_elim :premises (@p110)) % 15.44/15.72 (step @p115 :rule resolution :premises (@p114 @p102) :args (true @t121)) % 15.44/15.72 (step @p116 :rule not_and :premises (@p115)) % 15.44/15.72 (step @p117 :rule eq_resolve :premises (@p116 @p90)) % 15.44/15.72 (step @p118 :rule reordering :premises (@p117) :args ((or @t1 @t119 @t118))) % 15.44/15.72 (step @p119 :rule instantiate :premises (@p71) 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(step @p136 :rule and_intro :premises (@p119 @p326)) % 15.44/15.72 (step @p137 :rule modus_ponens :premises (@p136 @p133)) % 15.44/15.72 (step-pop @p332 :rule scope :premises (@p137)) % 15.44/15.72 (step-pop @p333 :rule scope :premises (@p332)) % 15.44/15.72 (step @p138 :rule process_scope :premises (@p333) :args (@t126)) % 15.44/15.72 (step @p141 :rule implies_elim :premises (@p138)) % 15.44/15.72 (step @p142 :rule cnf_and_neg :args (@t129)) % 15.44/15.72 (step @p143 :rule resolution :premises (@p142 @p141) :args (true @t129)) % 15.44/15.72 (step @p144 :rule eq_resolve :premises (@p143 @p122)) % 15.44/15.72 (step @p145 :rule reordering :premises (@p144) :args ((or @t119 @t126 @t127))) % 15.44/15.72 (step @p146 :rule instantiate :premises (@p76) :args ((@list @t131))) % 15.44/15.72 (step @p147 :rule refl :args (@t134)) % 15.44/15.72 (step @p148 :rule bool-double-not-elim :args (@t135)) % 15.44/15.72 (step @p149 :rule nary_cong :premises (@p89 @p148 @p147) :args ((or @t119 (not @t136) @t134))) % 15.44/15.72 (assume-push @p334 @t34) % 15.44/15.72 (assume-push @p335 @t136) % 15.44/15.72 (assume-push @p336 @t136) % 15.44/15.72 (assume-push @p337 @t34) % 15.44/15.72 (step @p154 :rule false_intro :premises (@p146)) % 15.44/15.72 (step @p155 :rule refl :args (@t131)) % 15.44/15.72 (step @p156 :rule symm :premises (@p334)) % 15.44/15.72 (step @p157 :rule cong :premises (@p156 @p155) :args (@t132)) % 15.44/15.72 (step @p158 :rule refl :args (tptp.vd165)) % 15.44/15.72 (step @p159 :rule cong :premises (@p158 @p157) :args (@t133)) % 15.44/15.72 (step @p160 :rule trans :premises (@p159 @p154)) % 15.44/15.72 (step @p161 :rule false_elim :premises (@p160)) % 15.44/15.72 (step-pop @p338 :rule scope :premises (@p161)) % 15.44/15.72 (step-pop @p339 :rule scope :premises (@p338)) % 15.44/15.72 (step @p162 :rule process_scope :premises (@p339) :args (@t134)) % 15.44/15.72 (step @p165 :rule and_intro :premises (@p146 @p334)) % 15.44/15.72 (step @p166 :rule modus_ponens :premises (@p165 @p162)) % 15.44/15.72 (step-pop @p340 :rule scope :premises (@p166)) % 15.44/15.72 (step-pop @p341 :rule scope :premises (@p340)) % 15.44/15.72 (step @p167 :rule process_scope :premises (@p341) :args (@t134)) % 15.44/15.72 (step @p170 :rule implies_elim :premises (@p167)) % 15.44/15.72 (step @p171 :rule cnf_and_neg :args (@t137)) % 15.44/15.72 (step @p172 :rule resolution :premises (@p171 @p170) :args (true @t137)) % 15.44/15.72 (step @p173 :rule eq_resolve :premises (@p172 @p149)) % 15.44/15.72 (step @p174 :rule reordering :premises (@p173) :args ((or @t119 @t134 @t135))) % 15.44/15.72 (step @p175 :rule refl :args (@t125)) % 15.44/15.72 (step @p176 :rule bool-double-not-elim :args (@t122)) % 15.44/15.72 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or (not @t138) @t125))) % 15.44/15.72 (step @p178 :rule bool-double-not-elim :args (@t125)) % 15.44/15.72 (step @p179 :rule refl :args (@t138)) % 15.44/15.72 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t138 @t139))) % 15.44/15.72 (assume-push @p342 @t138) % 15.44/15.72 (step @p182 :rule skolemize :premises (@p342)) % 15.44/15.72 (step-pop @p343 :rule scope :premises (@p182)) % 15.44/15.72 (step @p183 :rule process_scope :premises (@p343) :args (@t139)) % 15.44/15.72 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 15.44/15.72 (step @p186 :rule implies_elim :premises (@p185)) % 15.44/15.72 (step @p187 :rule eq_resolve :premises (@p186 @p177)) % 15.44/15.72 (step @p188 :rule refl :args (@t133)) % 15.44/15.72 (step @p189 :rule bool-double-not-elim :args (@t130)) % 15.44/15.72 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or (not @t140) @t133))) % 15.44/15.72 (step @p191 :rule bool-double-not-elim :args (@t133)) % 15.44/15.72 (step @p192 :rule refl :args (@t140)) % 15.44/15.72 (step @p193 :rule cong :premises (@p192 @p191) :args ((=> @t140 @t141))) % 15.44/15.72 (assume-push @p344 @t140) % 15.44/15.72 (step @p195 :rule skolemize :premises (@p344)) % 15.44/15.72 (step-pop @p345 :rule scope :premises (@p195)) % 15.44/15.72 (step @p196 :rule process_scope :premises (@p345) :args (@t141)) % 15.44/15.72 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 15.44/15.72 (step @p199 :rule implies_elim :premises (@p198)) % 15.44/15.72 (step @p200 :rule eq_resolve :premises (@p199 @p190)) % 15.44/15.72 (step @p201 :rule eq-symm :args (tptp.v1 tptp.vd165)) % 15.44/15.72 (step @p202 :rule nary_cong :premises (@p201 @p179 @p192) :args (@t142)) % 15.44/15.72 (step @p203 :rule refl :args (@t23)) % 15.44/15.72 (step @p204 :rule cong :premises (@p203 @p202) :args (@t143)) % 15.44/15.72 (step @p205 :rule cong :premises (@p55 @p204) :args ((=> @t108 @t143))) % 15.44/15.72 (assume-push @p346 @t108) % 15.44/15.72 (step @p207 :rule instantiate :premises (@p48) :args ((@list tptp.v1 tptp.vd165))) % 15.44/15.72 (step-pop @p347 :rule scope :premises (@p207)) % 15.44/15.72 (step @p208 :rule process_scope :premises (@p347) :args (@t143)) % 15.44/15.72 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 15.44/15.72 (step @p211 :rule implies_elim :premises (@p210)) % 15.44/15.72 (step @p212 :rule chain_m_resolution :premises (@p211 @p48) :args (@t145 @t111 @t112)) % 15.44/15.72 (step @p213 :rule cnf_equiv_pos1 :args (@t145)) % 15.44/15.72 (step @p214 :rule reordering :premises (@p213) :args ((or (not @t23) @t144 (not @t145)))) % 15.44/15.72 (step @p215 :rule chain_m_resolution :premises (@p214 @p17 @p212) :args (@t144 (@list false false) (@list @t23 @t145))) % 15.44/15.72 (step @p216 :rule cnf_or_pos :args (@t144)) % 15.44/15.72 (step @p217 :rule reordering :premises (@p216) :args ((or @t117 @t138 @t140 (not @t144)))) % 15.44/15.72 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p200 @p187 @p174 @p146 @p145 @p119 @p118 @p80) :args (@t119 (@list false false false true true true true true true) (@list @t144 @t130 @t122 @t133 @t135 @t125 @t127 @t117 @t1))) % 15.44/15.72 (step @p219 :rule aci_norm :args ((= (or false @t34 @t150) (or @t34 @t150)))) % 15.44/15.72 (step @p220 :rule aci_norm :args ((= (or false @t147 @t146) @t148))) % 15.44/15.72 (step @p221 :rule refl :args (@t146)) % 15.44/15.72 (step @p222 :rule refl :args (@t147)) % 15.44/15.72 (step @p223 :rule evaluate :args ((not true))) % 15.44/15.72 (step @p224 :rule eq-refl :args (@t27)) % 15.44/15.72 (step @p225 :rule cong :premises (@p224) :args (@t151)) % 15.44/15.72 (step @p226 :rule trans :premises (@p225 @p223)) % 15.44/15.72 (step @p227 :rule nary_cong :premises (@p226 @p222 @p221) :args (@t152)) % 15.44/15.72 (step @p228 :rule trans :premises (@p227 @p220)) % 15.44/15.72 (step @p229 :rule cong :premises (@p228) :args (@t153)) % 15.44/15.72 (step @p230 :rule cong :premises (@p229) :args (@t154)) % 15.44/15.72 (step @p231 :rule aci_norm :args ((= (and true @t34) @t34))) % 15.44/15.72 (step @p232 :rule refl :args (@t34)) % 15.44/15.72 (step @p233 :rule eq-refl :args (tptp.v1)) % 15.44/15.72 (step @p234 :rule nary_cong :premises (@p233 @p232) :args (@t156)) % 15.44/15.72 (step @p235 :rule trans :premises (@p234 @p231)) % 15.44/15.72 (step @p236 :rule cong :premises (@p233) :args (@t157)) % 15.44/15.72 (step @p237 :rule trans :premises (@p236 @p223)) % 15.44/15.72 (step @p238 :rule nary_cong :premises (@p237 @p235 @p230) :args (@t158)) % 15.44/15.72 (step @p239 :rule trans :premises (@p238 @p219)) % 15.44/15.72 (step @p240 :rule quant-var-elim-eq :args ((= (forall @t40 (or (not @t38) @t162 @t36 @t161)) @t158))) % 15.44/15.72 (step @p241 :rule refl :args (@t161)) % 15.44/15.72 (step @p242 :rule refl :args (@t36)) % 15.44/15.72 (step @p243 :rule refl :args (@t162)) % 15.44/15.72 (step @p244 :rule eq-symm :args (tptp.v1 @t29)) % 15.44/15.72 (step @p245 :rule cong :premises (@p244) :args (@t162)) % 15.44/15.72 (step @p246 :rule nary_cong :premises (@p245 @p243 @p242 @p241) :args (@t163)) % 15.44/15.72 (step @p247 :rule aci_norm :args ((= @t164 @t163))) % 15.44/15.72 (step @p248 :rule trans :premises (@p247 @p246)) % 15.44/15.72 (step @p249 :rule cong :premises (@p248) :args ((forall @t40 @t164))) % 15.44/15.72 (step @p250 :rule trans :premises (@p249 @p240)) % 15.44/15.72 (step @p251 :rule trans :premises (@p250 @p239)) % 15.44/15.72 (step @p252 :rule aci_norm :args ((= (or @t162 @t165) @t164))) % 15.44/15.72 (step @p253 :rule bool-impl-elim :args (@t35 @t165)) % 15.44/15.72 (step @p254 :rule trans :premises (@p253 @p252)) % 15.44/15.72 (step @p255 :rule cong :premises (@p254) :args ((forall @t40 (=> @t35 @t165)))) % 15.44/15.72 (step @p256 :rule trans :premises (@p255 @p251)) % 15.44/15.72 (step @p257 :rule aci_norm :args ((= (or @t159 @t148) @t160))) % 15.44/15.72 (step @p258 :rule bool-and-de-morgan :args (@t28 @t26 true)) % 15.44/15.72 (step @p259 :rule refl :args (@t159)) % 15.44/15.72 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t159 (not (and @t28 @t26))))) % 15.44/15.72 (step @p261 :rule bool-and-de-morgan :args (@t30 @t28 (and @t26))) % 15.44/15.72 (step @p262 :rule trans :premises (@p261 @p260)) % 15.44/15.72 (step @p263 :rule trans :premises (@p262 @p257)) % 15.44/15.72 (step @p264 :rule cong :premises (@p263) :args (@t166)) % 15.44/15.72 (step @p265 :rule cong :premises (@p264) :args (@t167)) % 15.44/15.72 (step @p266 :rule exists-elim :args ((= @t33 @t167))) % 15.44/15.72 (step @p267 :rule trans :premises (@p266 @p265)) % 15.44/15.72 (step @p268 :rule refl :args (@t36)) % 15.44/15.72 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t37)) % 15.44/15.72 (step @p270 :rule eq-symm :args (@t29 tptp.v1)) % 15.44/15.72 (step @p271 :rule cong :premises (@p270 @p269) :args (@t39)) % 15.44/15.72 (step @p272 :rule cong :premises (@p271) :args (@t41)) % 15.44/15.72 (step @p273 :rule trans :premises (@p272 @p256)) % 15.44/15.72 (step @p274 :rule eq_resolve :premises (@p19 @p273)) % 15.44/15.72 (step @p275 :rule chain_m_resolution :premises (@p274 @p218) :args (@t150 @t168 (@list @t34))) % 15.44/15.72 (step @p276 :rule refl :args (@t174)) % 15.44/15.72 (step @p277 :rule bool-double-not-elim :args (@t149)) % 15.44/15.72 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or (not @t150) @t174))) % 15.44/15.72 (assume-push @p348 @t150) % 15.44/15.72 (step @p280 :rule skolemize :premises (@p348)) % 15.44/15.72 (step-pop @p349 :rule scope :premises (@p280)) % 15.44/15.72 (step @p281 :rule process_scope :premises (@p349) :args (@t174)) % 15.44/15.72 (step @p283 :rule implies_elim :premises (@p281)) % 15.44/15.72 (step @p284 :rule eq_resolve :premises (@p283 @p278)) % 15.44/15.72 (step @p285 :rule chain_m_resolution :premises (@p284 @p275) :args (@t174 @t168 (@list @t149))) % 15.44/15.72 (step @p286 :rule bool-double-not-elim :args (@t171)) % 15.44/15.72 (step @p287 :rule refl :args (@t173)) % 15.44/15.72 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t173 (not @t172)))) % 15.44/15.72 (step @p289 :rule cnf_or_neg :args (@t173 1)) % 15.44/15.72 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 15.44/15.72 (step @p291 :rule reordering :premises (@p290) :args ((or @t171 @t173))) % 15.44/15.72 (step @p292 :rule chain_m_resolution :premises (@p291 @p285) :args (@t171 @t168 (@list @t173))) % 15.44/15.72 (step @p293 :rule cnf_or_neg :args (@t177 0)) % 15.44/15.72 (step @p294 :rule reordering :premises (@p293) :args ((or @t172 @t177))) % 15.44/15.72 (step @p295 :rule chain_m_resolution :premises (@p294 @p292) :args (@t177 @t111 (@list @t171))) % 15.44/15.72 (step @p296 :rule refl :args (@t175)) % 15.44/15.72 (step @p297 :rule refl :args (@t176)) % 15.44/15.72 (step @p298 :rule eq-symm :args (@t170 tptp.vd151)) % 15.44/15.72 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296) :args (@t178)) % 15.44/15.72 (step @p300 :rule cong :premises (@p53 @p299) :args (@t179)) % 15.44/15.72 (step @p301 :rule cong :premises (@p55 @p300) :args ((=> @t108 @t179))) % 15.44/15.72 (assume-push @p350 @t108) % 15.44/15.72 (step @p303 :rule instantiate :premises (@p48) :args ((@list @t170 tptp.vd151))) % 15.44/15.72 (step-pop @p351 :rule scope :premises (@p303)) % 15.44/15.72 (step @p304 :rule process_scope :premises (@p351) :args (@t179)) % 15.44/15.72 (step @p306 :rule eq_resolve :premises (@p304 @p301)) % 15.44/15.72 (step @p307 :rule implies_elim :premises (@p306)) % 15.44/15.72 (step @p308 :rule chain_m_resolution :premises (@p307 @p48) :args (@t180 @t111 @t112)) % 15.44/15.72 (step @p309 :rule cnf_equiv_pos2 :args (@t180)) % 15.44/15.72 (step @p310 :rule reordering :premises (@p309) :args ((or @t106 (not @t177) (not @t180)))) % 15.44/15.72 (step @p311 false :rule chain_m_resolution :premises (@p310 @p308 @p295 @p86) :args (false (@list false false true) (@list @t180 @t177 @t106))) % 15.44/15.72 ) % 15.44/15.72 % SZS output end Proof % 15.44/15.72 % cvc5 exiting %------------------------------------------------------------------------------