%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO010-1 : TPTP v9.2.1. Bugfixed v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:16:05 AM UTC 2026 % Result : Unsatisfiable 204.32s 204.65s % Output : Proof 204.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO010-1 : TPTP v9.2.1. Bugfixed v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:07:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 21.52/21.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.77 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.62/33.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.71/64.01 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.84/79.12 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.99/112.28 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.09/127.91 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.79/158.07 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.89/173.18 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.02/203.34 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.32/204.65 % SZS status Unsatisfiable % 204.32/204.65 % SZS output start Proof % 204.32/204.66 ( % 204.32/204.66 (declare-sort $$unsorted 0) % 204.32/204.66 (declare-const tptp.a $$unsorted) % 204.32/204.66 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.32/204.66 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 204.32/204.66 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 204.32/204.66 (declare-const tptp.b $$unsorted) % 204.32/204.66 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.32/204.66 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.32/204.66 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.32/204.66 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.32/204.66 (declare-const tptp.outer_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.32/204.66 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 204.32/204.66 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 204.32/204.66 (declare-const tptp.colinear (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.32/204.66 (declare-const tptp.c $$unsorted) % 204.32/204.66 (define @t1 () (@var "Y" $$unsorted)) % 204.32/204.66 (define @t2 () (@var "X" $$unsorted)) % 204.32/204.66 (define @t3 () (= @t2 @t1)) % 204.32/204.66 (define @t4 () (@list @t2 @t1)) % 204.32/204.66 (define @t5 () (@var "Z" $$unsorted)) % 204.32/204.66 (define @t6 () (tptp.between @t2 @t1 @t5)) % 204.32/204.66 (define @t7 () (@var "V" $$unsorted)) % 204.32/204.66 (define @t8 () (not (tptp.between @t2 @t1 @t7))) % 204.32/204.66 (define @t9 () (not @t6)) % 204.32/204.66 (define @t10 () (forall (@list @t2 @t1 @t5 @t7) (or @t9 @t8 @t3 (tptp.between @t2 @t5 @t7) (tptp.between @t2 @t7 @t5)))) % 204.32/204.66 (define @t11 () (@list @t2 @t1 @t5)) % 204.32/204.66 (define @t12 () (@var "W" $$unsorted)) % 204.32/204.66 (define @t13 () (@var "V2" $$unsorted)) % 204.32/204.66 (define @t14 () (tptp.outer_pasch @t12 @t2 @t1 @t5 @t7)) % 204.32/204.66 (define @t15 () (not (tptp.between @t1 @t7 @t5))) % 204.32/204.66 (define @t16 () (not (tptp.between @t2 @t12 @t7))) % 204.32/204.66 (define @t17 () (@list @t2 @t12 @t7 @t1 @t5)) % 204.32/204.66 (define @t18 () (tptp.euclid1 @t12 @t2 @t1 @t5 @t7)) % 204.32/204.66 (define @t19 () (= @t2 @t7)) % 204.32/204.66 (define @t20 () (not (tptp.between @t2 @t7 @t12))) % 204.32/204.66 (define @t21 () (@list @t2 @t7 @t12 @t1 @t5)) % 204.32/204.66 (define @t22 () (tptp.euclid2 @t12 @t2 @t1 @t5 @t7)) % 204.32/204.66 (define @t23 () (@var "V1" $$unsorted)) % 204.32/204.66 (define @t24 () (@var "Z1" $$unsorted)) % 204.32/204.66 (define @t25 () (@var "Y1" $$unsorted)) % 204.32/204.66 (define @t26 () (@var "X1" $$unsorted)) % 204.32/204.66 (define @t27 () (tptp.extension @t2 @t1 @t12 @t7)) % 204.32/204.66 (define @t28 () (tptp.continuous @t2 @t1 @t5 @t26 @t24 @t7)) % 204.32/204.66 (define @t29 () (not (tptp.between @t7 @t2 @t5))) % 204.32/204.66 (define @t30 () (not (tptp.equidistant @t7 @t5 @t7 @t24))) % 204.32/204.66 (define @t31 () (not (tptp.equidistant @t7 @t2 @t7 @t26))) % 204.32/204.66 (define @t32 () (@list @t7 @t2 @t26 @t5 @t24 @t1)) % 204.32/204.66 (define @t33 () (tptp.between @t2 @t5 @t1)) % 204.32/204.66 (define @t34 () (tptp.between @t1 @t2 @t5)) % 204.32/204.66 (define @t35 () (tptp.colinear @t2 @t1 @t5)) % 204.32/204.66 (define @t36 () (tptp.colinear tptp.a tptp.b tptp.c)) % 204.32/204.66 (define @t37 () (tptp.colinear tptp.c tptp.b tptp.a)) % 204.32/204.66 (define @t38 () (not @t37)) % 204.32/204.66 (define @t39 () (tptp.colinear tptp.c tptp.a tptp.b)) % 204.32/204.66 (define @t40 () (not @t39)) % 204.32/204.66 (define @t41 () (tptp.colinear tptp.b tptp.c tptp.a)) % 204.32/204.66 (define @t42 () (tptp.colinear tptp.b tptp.a tptp.c)) % 204.32/204.66 (define @t43 () (not @t42)) % 204.32/204.66 (define @t44 () (tptp.colinear tptp.a tptp.c tptp.b)) % 204.32/204.66 (define @t45 () (@list tptp.b tptp.c tptp.a)) % 204.32/204.66 (define @t46 () (@list tptp.c tptp.a tptp.b)) % 204.32/204.66 (define @t47 () (tptp.between tptp.c tptp.a tptp.b)) % 204.32/204.66 (define @t48 () (not @t47)) % 204.32/204.66 (define @t49 () (or @t48 @t39)) % 204.32/204.66 (define @t50 () (@list tptp.c tptp.b tptp.a)) % 204.32/204.66 (define @t51 () (tptp.between tptp.c tptp.b tptp.a)) % 204.32/204.66 (define @t52 () (not @t51)) % 204.32/204.66 (define @t53 () (or @t52 @t39)) % 204.32/204.66 (define @t54 () (@list tptp.a tptp.c tptp.b)) % 204.32/204.66 (define @t55 () (tptp.between tptp.a tptp.c tptp.b)) % 204.32/204.66 (define @t56 () (not @t55)) % 204.32/204.66 (define @t57 () (or @t56 @t39)) % 204.32/204.66 (define @t58 () (tptp.between tptp.a tptp.c tptp.c)) % 204.32/204.66 (define @t59 () (= tptp.a tptp.b)) % 204.32/204.66 (define @t60 () (tptp.between tptp.a tptp.b tptp.c)) % 204.32/204.66 (define @t61 () (not @t60)) % 204.32/204.66 (define @t62 () (or @t61 @t61 @t59 @t58 @t58)) % 204.32/204.66 (define @t63 () (@list tptp.a tptp.b tptp.c tptp.a tptp.c)) % 204.32/204.66 (define @t64 () (tptp.outer_pasch tptp.b tptp.a tptp.a tptp.c tptp.c)) % 204.32/204.66 (define @t65 () (tptp.between tptp.a @t64 tptp.a)) % 204.32/204.66 (define @t66 () (not @t58)) % 204.32/204.66 (define @t67 () (or @t61 @t66 @t65)) % 204.32/204.66 (define @t68 () (tptp.between tptp.c tptp.b @t64)) % 204.32/204.66 (define @t69 () (or @t61 @t66 @t68)) % 204.32/204.66 (define @t70 () (= tptp.a @t64)) % 204.32/204.66 (define @t71 () (not @t65)) % 204.32/204.66 (define @t72 () (or @t71 @t70)) % 204.32/204.66 (define @t73 () (not @t70)) % 204.32/204.66 (define @t74 () (not @t68)) % 204.32/204.66 (define @t75 () (= true false)) % 204.32/204.66 (define @t76 () (and @t52 @t70 @t68)) % 204.32/204.66 (define @t77 () (@list tptp.a tptp.b tptp.c)) % 204.32/204.66 (define @t78 () (tptp.between tptp.b tptp.a tptp.c)) % 204.32/204.66 (define @t79 () (not @t36)) % 204.32/204.66 (define @t80 () (or @t79 @t60 @t78 @t55)) % 204.32/204.66 (define @t81 () (tptp.between tptp.b tptp.c tptp.c)) % 204.32/204.66 (define @t82 () (not @t78)) % 204.32/204.66 (define @t83 () (or @t82 @t82 (= tptp.b tptp.a) @t81 @t81)) % 204.32/204.66 (define @t84 () (or @t82 @t82 @t59 @t81 @t81)) % 204.32/204.66 (define @t85 () (@list tptp.b tptp.a tptp.c tptp.b tptp.c)) % 204.32/204.66 (define @t86 () (tptp.outer_pasch tptp.a tptp.b tptp.b tptp.c tptp.c)) % 204.32/204.66 (define @t87 () (tptp.between tptp.b @t86 tptp.b)) % 204.32/204.66 (define @t88 () (not @t81)) % 204.32/204.66 (define @t89 () (or @t82 @t88 @t87)) % 204.32/204.66 (define @t90 () (tptp.between tptp.c tptp.a @t86)) % 204.32/204.66 (define @t91 () (or @t82 @t88 @t90)) % 204.32/204.66 (define @t92 () (= tptp.b @t86)) % 204.32/204.66 (define @t93 () (not @t87)) % 204.32/204.66 (define @t94 () (or @t93 @t92)) % 204.32/204.66 (define @t95 () (not @t92)) % 204.32/204.66 (define @t96 () (not @t90)) % 204.32/204.66 (define @t97 () (not @t48)) % 204.32/204.66 (define @t98 () (and @t48 @t92 @t90)) % 204.32/204.66 (define @t99 () (or @t56 @t44)) % 204.32/204.66 (define @t100 () (or @t48 @t44)) % 204.32/204.66 (define @t101 () (or @t61 @t44)) % 204.32/204.66 (define @t102 () (not @t59)) % 204.32/204.66 (define @t103 () (= false true)) % 204.32/204.66 (define @t104 () (and @t78 @t59 @t61)) % 204.32/204.66 (define @t105 () (@list false false false false false false false false true false false false true false true false true false)) % 204.32/204.66 (define @t106 () (tptp.colinear tptp.a tptp.c tptp.a)) % 204.32/204.66 (define @t107 () (and @t44 @t59)) % 204.32/204.66 (define @t108 () (tptp.between tptp.c tptp.a tptp.a)) % 204.32/204.66 (define @t109 () (not @t108)) % 204.32/204.66 (define @t110 () (and @t59 @t48)) % 204.32/204.66 (define @t111 () (tptp.between tptp.a tptp.c tptp.a)) % 204.32/204.66 (define @t112 () (not @t111)) % 204.32/204.66 (define @t113 () (and @t59 @t56)) % 204.32/204.66 (define @t114 () (tptp.between tptp.a tptp.a tptp.c)) % 204.32/204.66 (define @t115 () (not @t106)) % 204.32/204.66 (define @t116 () (or @t115 @t111 @t108 @t114)) % 204.32/204.66 (define @t117 () (and @t59 @t114)) % 204.32/204.66 (define @t118 () (not @t114)) % 204.32/204.66 (define @t119 () (tptp.between tptp.b tptp.a tptp.a)) % 204.32/204.66 (define @t120 () (or @t82 @t118 @t119)) % 204.32/204.66 (define @t121 () (@list tptp.b tptp.a tptp.a tptp.b tptp.c)) % 204.32/204.66 (define @t122 () (tptp.outer_pasch tptp.a tptp.b tptp.b tptp.c tptp.a)) % 204.32/204.66 (define @t123 () (tptp.between tptp.b @t122 tptp.b)) % 204.32/204.66 (define @t124 () (not @t119)) % 204.32/204.66 (define @t125 () (or @t124 @t82 @t123)) % 204.32/204.66 (define @t126 () (tptp.between tptp.c tptp.a @t122)) % 204.32/204.66 (define @t127 () (or @t124 @t82 @t126)) % 204.32/204.66 (define @t128 () (= tptp.b @t122)) % 204.32/204.66 (define @t129 () (not @t123)) % 204.32/204.66 (define @t130 () (or @t129 @t128)) % 204.32/204.66 (define @t131 () (not @t128)) % 204.32/204.66 (define @t132 () (not @t126)) % 204.32/204.66 (define @t133 () (and @t48 @t59 @t128 @t126)) % 204.32/204.66 (define @t134 () (tptp.between tptp.b tptp.c tptp.a)) % 204.32/204.66 (define @t135 () (not @t134)) % 204.32/204.66 (define @t136 () (or @t135 @t41)) % 204.32/204.66 (define @t137 () (@list tptp.b tptp.a tptp.c)) % 204.32/204.66 (define @t138 () (or @t82 @t41)) % 204.32/204.66 (define @t139 () (or @t52 @t41)) % 204.32/204.66 (define @t140 () (or @t82 @t42)) % 204.32/204.66 (define @t141 () (or @t61 @t42)) % 204.32/204.66 (define @t142 () (or @t135 @t42)) % 204.32/204.66 (define @t143 () (@list tptp.a tptp.c tptp.b tptp.a tptp.b)) % 204.32/204.66 (define @t144 () (tptp.outer_pasch tptp.c tptp.a tptp.a tptp.b tptp.b)) % 204.32/204.66 (define @t145 () (tptp.between tptp.a @t144 tptp.a)) % 204.32/204.66 (define @t146 () (tptp.between tptp.a tptp.b tptp.b)) % 204.32/204.66 (define @t147 () (not @t146)) % 204.32/204.66 (define @t148 () (or @t56 @t147 @t145)) % 204.32/204.66 (define @t149 () (tptp.between tptp.b tptp.c @t144)) % 204.32/204.66 (define @t150 () (or @t56 @t147 @t149)) % 204.32/204.66 (define @t151 () (= tptp.a @t144)) % 204.32/204.66 (define @t152 () (not @t145)) % 204.32/204.66 (define @t153 () (or @t152 @t151)) % 204.32/204.66 (define @t154 () (not @t151)) % 204.32/204.66 (define @t155 () (not @t149)) % 204.32/204.66 (define @t156 () (and @t135 @t151 @t149)) % 204.32/204.66 (define @t157 () (= tptp.a tptp.c)) % 204.32/204.66 (define @t158 () (or @t56 @t56 @t157 @t146 @t146)) % 204.32/204.66 (define @t159 () (and @t157 @t55)) % 204.32/204.66 (define @t160 () (not @t157)) % 204.32/204.66 (define @t161 () (tptp.between tptp.a tptp.a tptp.b)) % 204.32/204.66 (define @t162 () (not @t161)) % 204.32/204.66 (define @t163 () (or @t48 @t162 @t108)) % 204.32/204.66 (define @t164 () (@list tptp.c tptp.a tptp.a tptp.c tptp.b)) % 204.32/204.66 (define @t165 () (tptp.outer_pasch tptp.a tptp.c tptp.c tptp.b tptp.a)) % 204.32/204.66 (define @t166 () (tptp.between tptp.c @t165 tptp.c)) % 204.32/204.66 (define @t167 () (or @t109 @t48 @t166)) % 204.32/204.66 (define @t168 () (tptp.between tptp.b tptp.a @t165)) % 204.32/204.66 (define @t169 () (or @t109 @t48 @t168)) % 204.32/204.66 (define @t170 () (= tptp.c @t165)) % 204.32/204.66 (define @t171 () (not @t166)) % 204.32/204.66 (define @t172 () (or @t171 @t170)) % 204.32/204.66 (define @t173 () (not @t170)) % 204.32/204.66 (define @t174 () (not @t168)) % 204.32/204.66 (define @t175 () (not @t82)) % 204.32/204.66 (define @t176 () (and @t82 @t157 @t170 @t168)) % 204.32/204.66 (define @t177 () (or @t43 @t78 @t60 @t134)) % 204.32/204.66 (define @t178 () (and @t60 @t59 @t82)) % 204.32/204.66 (define @t179 () (or @t135 @t37)) % 204.32/204.66 (define @t180 () (@list true false)) % 204.32/204.66 (define @t181 () (or @t52 @t37)) % 204.32/204.66 (define @t182 () (or @t48 @t37)) % 204.32/204.66 (define @t183 () (or @t40 @t47 @t55 @t51)) % 204.32/204.66 (define @t184 () (@list false true)) % 204.32/204.66 (assume @p1 (forall @t4 (or (not (tptp.between @t2 @t1 @t2)) @t3))) % 204.32/204.66 (assume @p2 (forall (@list @t2 @t1 @t7 @t5) (or @t8 (not (tptp.between @t1 @t5 @t7)) @t6))) % 204.32/204.66 (assume @p3 @t10) % 204.32/204.66 (assume @p4 (forall @t4 (tptp.equidistant @t2 @t1 @t1 @t2))) % 204.32/204.66 (assume @p5 (forall @t11 (or (not (tptp.equidistant @t2 @t1 @t5 @t5)) @t3))) % 204.32/204.66 (assume @p6 (forall (@list @t2 @t1 @t5 @t7 @t13 @t12) (or (not (tptp.equidistant @t2 @t1 @t5 @t7)) (not (tptp.equidistant @t2 @t1 @t13 @t12)) (tptp.equidistant @t5 @t7 @t13 @t12)))) % 204.32/204.66 (assume @p7 (forall @t17 (or @t16 @t15 (tptp.between @t2 @t14 @t1)))) % 204.32/204.66 (assume @p8 (forall @t17 (or @t16 @t15 (tptp.between @t5 @t12 @t14)))) % 204.32/204.66 (assume @p9 (forall @t21 (or @t20 @t15 @t19 (tptp.between @t2 @t5 @t18)))) % 204.32/204.66 (assume @p10 (forall @t21 (or @t20 @t15 @t19 (tptp.between @t2 @t1 @t22)))) % 204.32/204.66 (assume @p11 (forall @t21 (or @t20 @t15 @t19 (tptp.between @t18 @t12 @t22)))) % 204.32/204.66 (assume @p12 (forall (@list @t2 @t1 @t26 @t25 @t5 @t24 @t7 @t23) (or (not (tptp.equidistant @t2 @t1 @t26 @t25)) (not (tptp.equidistant @t1 @t5 @t25 @t24)) (not (tptp.equidistant @t2 @t7 @t26 @t23)) (not (tptp.equidistant @t1 @t7 @t25 @t23)) @t9 (not (tptp.between @t26 @t25 @t24)) @t3 (tptp.equidistant @t5 @t7 @t24 @t23)))) % 204.32/204.66 (assume @p13 (forall (@list @t2 @t1 @t12 @t7) (tptp.between @t2 @t1 @t27))) % 204.32/204.66 (assume @p14 (forall (@list @t1 @t2 @t12 @t7) (tptp.equidistant @t1 @t27 @t12 @t7))) % 204.32/204.66 (assume @p15 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 204.32/204.66 (assume @p16 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 204.32/204.66 (assume @p17 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 204.32/204.66 (assume @p18 (forall @t17 (or (not (tptp.equidistant @t2 @t12 @t2 @t7)) (not (tptp.equidistant @t1 @t12 @t1 @t7)) (not (tptp.equidistant @t5 @t12 @t5 @t7)) @t6 (tptp.between @t1 @t5 @t2) (tptp.between @t5 @t2 @t1) (= @t12 @t7)))) % 204.32/204.66 (assume @p19 (forall @t32 (or @t31 @t30 @t29 @t9 (tptp.equidistant @t7 @t1 @t7 @t28)))) % 204.32/204.66 (assume @p20 (forall @t32 (or @t31 @t30 @t29 @t9 (tptp.between @t26 @t28 @t24)))) % 204.32/204.66 (assume @p21 (forall @t11 (or (not @t35) @t6 @t34 @t33))) % 204.32/204.66 (assume @p22 (forall @t11 (or @t9 @t35))) % 204.32/204.66 (assume @p23 (forall (@list @t1 @t2 @t5) (or (not @t34) @t35))) % 204.32/204.66 (assume @p24 (forall (@list @t2 @t5 @t1) (or (not @t33) @t35))) % 204.32/204.66 (assume @p25 @t36) % 204.32/204.66 (assume @p26 (or (not @t44) @t43 (not @t41) @t40 @t38)) % 204.32/204.66 (step @p27 :rule instantiate :premises (@p23) :args (@t45)) % 204.32/204.66 (step @p28 :rule instantiate :premises (@p22) :args (@t46)) % 204.32/204.66 (step @p29 :rule cnf_or_pos :args (@t49)) % 204.32/204.66 (step @p30 :rule reordering :premises (@p29) :args ((or @t39 @t48 (not @t49)))) % 204.32/204.66 (step @p31 :rule instantiate :premises (@p24) :args (@t50)) % 204.32/204.66 (step @p32 :rule cnf_or_pos :args (@t53)) % 204.32/204.66 (step @p33 :rule reordering :premises (@p32) :args ((or @t39 @t52 (not @t53)))) % 204.32/204.66 (step @p34 :rule instantiate :premises (@p23) :args (@t54)) % 204.32/204.66 (step @p35 :rule cnf_or_pos :args (@t57)) % 204.32/204.66 (step @p36 :rule reordering :premises (@p35) :args ((or @t39 @t56 (not @t57)))) % 204.32/204.66 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.b tptp.c tptp.c))) % 204.32/204.66 (step @p38 :rule cnf_or_pos :args (@t62)) % 204.32/204.66 (step @p39 :rule factoring :premises (@p38)) % 204.32/204.66 (step @p40 :rule reordering :premises (@p39) :args ((or @t59 @t61 @t58 (not @t62)))) % 204.32/204.66 (step @p41 :rule instantiate :premises (@p7) :args (@t63)) % 204.32/204.66 (step @p42 :rule cnf_or_pos :args (@t67)) % 204.32/204.66 (step @p43 :rule reordering :premises (@p42) :args ((or @t61 @t66 @t65 (not @t67)))) % 204.32/204.66 (step @p44 :rule instantiate :premises (@p8) :args 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204.32/204.66 (step @p60 :rule refl :args (tptp.b)) % 204.32/204.66 (step @p61 :rule refl :args (tptp.c)) % 204.32/204.66 (step @p62 :rule cong :premises (@p61 @p60 @p59) :args (@t68)) % 204.32/204.66 (step @p63 :rule true_intro :premises (@p534)) % 204.32/204.66 (step @p64 :rule symm :premises (@p63)) % 204.32/204.66 (step @p65 :rule trans :premises (@p64 @p62 @p58)) % 204.32/204.66 (step @p66 false :rule eq_resolve :premises (@p65 @p57)) % 204.32/204.66 (step-pop @p535 :rule scope :premises (@p66)) % 204.32/204.66 (step-pop @p536 :rule scope :premises (@p535)) % 204.32/204.66 (step-pop @p537 :rule scope :premises (@p536)) % 204.32/204.66 (step @p67 :rule process_scope :premises (@p537) :args (false)) % 204.32/204.66 (assume-push @p538 @t52) % 204.32/204.66 (assume-push @p539 @t68) % 204.32/204.66 (assume-push @p540 @t70) % 204.32/204.66 (step @p74 :rule and_intro :premises (@p538 @p540 @p539)) % 204.32/204.66 (step-pop @p541 :rule scope :premises (@p74)) % 204.32/204.66 (step-pop 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204.32/204.66 (step @p88 :rule eq-symm :args (tptp.b tptp.a)) % 204.32/204.66 (step @p89 :rule refl :args (@t82)) % 204.32/204.66 (step @p90 :rule nary_cong :premises (@p89 @p89 @p88 @p87 @p87) :args (@t83)) % 204.32/204.66 (step @p91 :rule refl :args (@t10)) % 204.32/204.66 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t10 @t83))) % 204.32/204.66 (assume-push @p544 @t10) % 204.32/204.66 (step @p94 :rule instantiate :premises (@p3) :args ((@list tptp.b tptp.a tptp.c tptp.c))) % 204.32/204.66 (step-pop @p545 :rule scope :premises (@p94)) % 204.32/204.66 (step @p95 :rule process_scope :premises (@p545) :args (@t83)) % 204.32/204.66 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 204.32/204.66 (step @p98 :rule implies_elim :premises (@p97)) % 204.32/204.66 (step @p99 :rule chain_m_resolution :premises (@p98 @p3) :args (@t84 (@list false) (@list @t10))) % 204.32/204.66 (step @p100 :rule cnf_or_pos :args (@t84)) % 204.32/204.66 (step @p101 :rule factoring :premises (@p100)) % 204.32/204.66 (step @p102 :rule reordering :premises (@p101) :args ((or @t59 @t82 @t81 (not @t84)))) % 204.32/204.66 (step @p103 :rule instantiate :premises (@p7) :args (@t85)) % 204.32/204.66 (step @p104 :rule cnf_or_pos :args (@t89)) % 204.32/204.66 (step @p105 :rule reordering :premises (@p104) :args ((or @t82 @t88 @t87 (not @t89)))) % 204.32/204.66 (step @p106 :rule instantiate :premises (@p8) :args (@t85)) % 204.32/204.66 (step @p107 :rule cnf_or_pos :args (@t91)) % 204.32/204.66 (step @p108 :rule reordering :premises (@p107) :args ((or @t82 @t88 @t90 (not @t91)))) % 204.32/204.66 (step @p109 :rule instantiate :premises (@p1) :args ((@list tptp.b @t86))) % 204.32/204.66 (step @p110 :rule cnf_or_pos :args (@t94)) % 204.32/204.66 (step @p111 :rule reordering :premises (@p110) :args ((or @t93 @t92 (not @t94)))) % 204.32/204.66 (step @p112 :rule refl :args (@t95)) % 204.32/204.66 (step @p113 :rule refl :args (@t96)) % 204.32/204.66 (step @p114 :rule bool-double-not-elim :args (@t47)) 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204.32/204.66 (step-pop @p551 :rule scope :premises (@p550)) % 204.32/204.66 (step @p127 :rule process_scope :premises (@p551) :args (false)) % 204.32/204.66 (assume-push @p552 @t48) % 204.32/204.66 (assume-push @p553 @t90) % 204.32/204.66 (assume-push @p554 @t92) % 204.32/204.66 (step @p134 :rule and_intro :premises (@p552 @p554 @p553)) % 204.32/204.66 (step-pop @p555 :rule scope :premises (@p134)) % 204.32/204.66 (step-pop @p556 :rule scope :premises (@p555)) % 204.32/204.66 (step-pop @p557 :rule scope :premises (@p556)) % 204.32/204.66 (step @p135 :rule process_scope :premises (@p557) :args (@t98)) % 204.32/204.66 (step @p139 :rule implies_elim :premises (@p135)) % 204.32/204.66 (step @p140 :rule resolution :premises (@p139 @p127) :args (true @t98)) % 204.32/204.66 (step @p141 :rule not_and :premises (@p140)) % 204.32/204.66 (step @p142 :rule eq_resolve :premises (@p141 @p115)) % 204.32/204.66 (step @p143 :rule chain_m_resolution :premises (@p142 @p111 @p109 @p108 @p106 @p105 @p103 @p102 @p99 @p86 @p84 @p25 @p83) :args ((or @t59 @t55 @t47 @t51) (@list false false false false false false false false false false false true) (@list @t92 @t94 @t90 @t91 @t87 @t89 @t81 @t84 @t78 @t80 @t36 @t60))) % 204.32/204.66 (step @p144 :rule instantiate :premises (@p22) :args (@t54)) % 204.32/204.66 (step @p145 :rule cnf_or_pos :args (@t99)) % 204.32/204.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t44 @t56 (not @t99)))) % 204.32/204.66 (step @p147 :rule instantiate :premises (@p23) :args (@t46)) % 204.32/204.66 (step @p148 :rule cnf_or_pos :args (@t100)) % 204.32/204.66 (step @p149 :rule reordering :premises (@p148) :args ((or @t44 @t48 (not @t100)))) % 204.32/204.66 (step @p150 :rule instantiate :premises (@p24) :args (@t77)) % 204.32/204.66 (step @p151 :rule cnf_or_pos :args (@t101)) % 204.32/204.66 (step @p152 :rule reordering :premises (@p151) :args ((or @t44 @t61 (not @t101)))) % 204.32/204.66 (step @p153 :rule bool-double-not-elim :args (@t60)) % 204.32/204.66 (step @p154 :rule refl :args (@t102)) % 204.32/204.66 (step @p155 :rule nary_cong :premises (@p154 @p89 @p153) :args ((or @t102 @t82 (not @t61)))) % 204.32/204.66 (assume-push @p558 @t78) % 204.32/204.66 (assume-push @p559 @t59) % 204.32/204.66 (assume-push @p560 @t61) % 204.32/204.66 (step @p159 :rule evaluate :args (@t103)) % 204.32/204.66 (step @p160 :rule true_intro :premises (@p558)) % 204.32/204.66 (step @p61 :rule refl :args (tptp.c)) % 204.32/204.66 (step @p161 :rule symm :premises (@p559)) % 204.32/204.66 (step @p162 :rule cong :premises (@p559 @p161 @p61) :args (@t60)) % 204.32/204.66 (step @p163 :rule false_intro :premises (@p560)) % 204.32/204.66 (step @p164 :rule symm :premises (@p163)) % 204.32/204.66 (step @p165 :rule trans :premises (@p164 @p162 @p160)) % 204.32/204.66 (step @p166 false :rule eq_resolve :premises (@p165 @p159)) % 204.32/204.66 (step-pop @p561 :rule scope :premises (@p166)) % 204.32/204.66 (step-pop @p562 :rule scope :premises (@p561)) % 204.32/204.66 (step-pop @p563 :rule scope :premises (@p562)) % 204.32/204.66 (step @p167 :rule process_scope :premises (@p563) :args (false)) % 204.32/204.66 (assume-push @p564 @t59) % 204.32/204.66 (assume-push @p565 @t78) % 204.32/204.66 (assume-push @p566 @t61) % 204.32/204.66 (step @p174 :rule and_intro :premises (@p565 @p564 @p566)) % 204.32/204.66 (step-pop @p567 :rule scope :premises (@p174)) % 204.32/204.66 (step-pop @p568 :rule scope :premises (@p567)) % 204.32/204.66 (step-pop @p569 :rule scope :premises (@p568)) % 204.32/204.66 (step @p175 :rule process_scope :premises (@p569) :args (@t104)) % 204.32/204.66 (step @p179 :rule implies_elim :premises (@p175)) % 204.32/204.66 (step @p180 :rule resolution :premises (@p179 @p167) :args (true @t104)) % 204.32/204.66 (step @p181 :rule not_and :premises (@p180)) % 204.32/204.66 (step @p182 :rule eq_resolve :premises (@p181 @p155)) % 204.32/204.66 (step @p183 :rule reordering :premises (@p182) :args ((or @t60 @t82 @t102))) % 204.32/204.66 (step @p184 :rule chain_m_resolution :premises (@p142 @p111 @p109 @p108 @p106 @p105 @p103 @p102 @p99 @p183 @p86 @p84 @p25 @p152 @p150 @p149 @p147 @p146 @p144) :args (@t44 @t105 (@list @t92 @t94 @t90 @t91 @t87 @t89 @t81 @t84 @t59 @t78 @t80 @t36 @t60 @t101 @t47 @t100 @t55 @t99))) % 204.32/204.66 (assume-push @p570 @t44) % 204.32/204.66 (assume-push @p571 @t59) % 204.32/204.66 (assume-push @p572 @t44) % 204.32/204.66 (assume-push @p573 @t59) % 204.32/204.66 (step @p189 :rule true_intro :premises (@p570)) % 204.32/204.66 (step @p61 :rule refl :args (tptp.c)) % 204.32/204.66 (step @p121 :rule refl :args (tptp.a)) % 204.32/204.66 (step @p190 :rule cong :premises (@p121 @p61 @p571) :args (@t106)) % 204.32/204.66 (step @p191 :rule trans :premises (@p190 @p189)) % 204.32/204.66 (step @p192 :rule true_elim :premises (@p191)) % 204.32/204.66 (step-pop @p574 :rule scope :premises (@p192)) % 204.32/204.66 (step-pop @p575 :rule scope :premises (@p574)) % 204.32/204.66 (step @p193 :rule process_scope :premises (@p575) :args (@t106)) % 204.32/204.66 (step @p196 :rule and_intro :premises (@p570 @p571)) % 204.32/204.66 (step @p197 :rule modus_ponens :premises (@p196 @p193)) % 204.32/204.66 (step-pop @p576 :rule scope :premises (@p197)) % 204.32/204.66 (step-pop @p577 :rule scope :premises (@p576)) % 204.32/204.66 (step @p198 :rule process_scope :premises (@p577) :args (@t106)) % 204.32/204.66 (step @p201 :rule implies_elim :premises (@p198)) % 204.32/204.66 (step @p202 :rule cnf_and_neg :args (@t107)) % 204.32/204.66 (step @p203 :rule resolution :premises (@p202 @p201) :args (true @t107)) % 204.32/204.66 (step @p204 :rule refl :args (@t109)) % 204.32/204.66 (step @p205 :rule nary_cong :premises (@p154 @p114 @p204) :args ((or @t102 @t97 @t109))) % 204.32/204.66 (assume-push @p578 @t59) % 204.32/204.66 (assume-push @p579 @t48) % 204.32/204.66 (assume-push @p580 @t48) % 204.32/204.66 (assume-push @p581 @t59) % 204.32/204.66 (step @p210 :rule false_intro :premises (@p579)) % 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(@t164)) % 204.32/204.66 (step @p435 :rule cnf_or_pos :args (@t169)) % 204.32/204.66 (step @p436 :rule reordering :premises (@p435) :args ((or @t48 @t109 @t168 (not @t169)))) % 204.32/204.66 (step @p437 :rule instantiate :premises (@p1) :args ((@list tptp.c @t165))) % 204.32/204.66 (step @p438 :rule cnf_or_pos :args (@t172)) % 204.32/204.66 (step @p439 :rule reordering :premises (@p438) :args ((or @t171 @t170 (not @t172)))) % 204.32/204.66 (step @p440 :rule refl :args (@t173)) % 204.32/204.66 (step @p441 :rule refl :args (@t174)) % 204.32/204.66 (step @p442 :rule bool-double-not-elim :args (@t78)) % 204.32/204.66 (step @p443 :rule refl :args (@t160)) % 204.32/204.66 (step @p444 :rule nary_cong :premises (@p443 @p442 @p441 @p440) :args ((or @t160 @t175 @t174 @t173))) % 204.32/204.66 (assume-push @p646 @t82) % 204.32/204.66 (assume-push @p647 @t157) % 204.32/204.66 (assume-push @p648 @t170) % 204.32/204.66 (assume-push @p649 @t168) % 204.32/204.66 (step @p57 :rule evaluate :args (@t75)) % 204.32/204.66 (step @p449 :rule false_intro :premises (@p646)) % 204.32/204.66 (step @p121 :rule refl :args (tptp.a)) % 204.32/204.66 (step @p60 :rule refl :args (tptp.b)) % 204.32/204.66 (step @p450 :rule cong :premises (@p60 @p121 @p647) :args (@t119)) % 204.32/204.66 (step @p451 :rule symm :premises (@p647)) % 204.32/204.66 (step @p452 :rule symm :premises (@p648)) % 204.32/204.66 (step @p453 :rule trans :premises (@p452 @p451)) % 204.32/204.66 (step @p454 :rule cong :premises (@p60 @p121 @p453) :args (@t168)) % 204.32/204.66 (step @p455 :rule true_intro :premises (@p649)) % 204.32/204.66 (step @p456 :rule symm :premises (@p455)) % 204.32/204.66 (step @p457 :rule trans :premises (@p456 @p454 @p450 @p449)) % 204.32/204.66 (step @p458 false :rule eq_resolve :premises (@p457 @p57)) % 204.32/204.66 (step-pop @p650 :rule scope :premises (@p458)) % 204.32/204.66 (step-pop @p651 :rule scope :premises (@p650)) % 204.32/204.66 (step-pop @p652 :rule scope :premises (@p651)) % 204.32/204.66 (step-pop @p653 :rule scope :premises (@p652)) % 204.32/204.66 (step @p459 :rule process_scope :premises (@p653) :args (false)) % 204.32/204.66 (assume-push @p654 @t157) % 204.32/204.66 (assume-push @p655 @t82) % 204.32/204.66 (assume-push @p656 @t168) % 204.32/204.66 (assume-push @p657 @t170) % 204.32/204.66 (step @p468 :rule and_intro :premises (@p655 @p654 @p657 @p656)) % 204.32/204.66 (step-pop @p658 :rule scope :premises (@p468)) % 204.32/204.66 (step-pop @p659 :rule scope :premises (@p658)) % 204.32/204.66 (step-pop @p660 :rule scope :premises (@p659)) % 204.32/204.66 (step-pop @p661 :rule scope :premises (@p660)) % 204.32/204.66 (step @p469 :rule process_scope :premises (@p661) :args (@t176)) % 204.32/204.66 (step @p474 :rule implies_elim :premises (@p469)) % 204.32/204.66 (step @p475 :rule resolution :premises (@p474 @p459) :args (true @t176)) % 204.32/204.66 (step @p476 :rule not_and :premises (@p475)) % 204.32/204.66 (step @p477 :rule eq_resolve :premises (@p476 @p444)) % 204.32/204.66 (step @p478 :rule reordering :premises (@p477) :args ((or @t78 @t160 @t174 @t173))) % 204.32/204.66 (step @p479 :rule chain_m_resolution :premises (@p478 @p439 @p437 @p436 @p434 @p433 @p431 @p430 @p428 @p427 @p408 @p387 @p384 @p383 @p86 @p84 @p25 @p343 @p341 @p340 @p338 @p337 @p335) :args (@t42 (@list false false false false false false false false false false false false true false false false true false true false true false) (@list @t170 @t172 @t168 @t169 @t166 @t167 @t108 @t163 @t161 @t47 @t157 @t158 @t146 @t55 @t80 @t36 @t134 @t142 @t60 @t141 @t78 @t140))) % 204.32/204.66 (step @p480 :rule cnf_or_pos :args (@t177)) % 204.32/204.66 (step @p481 :rule reordering :premises (@p480) :args ((or @t43 @t60 @t78 @t134 (not @t177)))) % 204.32/204.66 (step @p482 :rule refl :args (@t61)) % 204.32/204.66 (step @p483 :rule nary_cong :premises (@p154 @p482 @p442) :args ((or @t102 @t61 @t175))) % 204.32/204.66 (assume-push @p662 @t60) % 204.32/204.66 (assume-push @p663 @t59) % 204.32/204.66 (assume-push @p664 @t82) % 204.32/204.66 (step @p159 :rule evaluate :args (@t103)) % 204.32/204.66 (step @p487 :rule true_intro :premises (@p662)) % 204.32/204.66 (step @p61 :rule refl :args (tptp.c)) % 204.32/204.66 (step @p121 :rule refl :args (tptp.a)) % 204.32/204.66 (step @p488 :rule cong :premises (@p121 @p663 @p61) :args (@t114)) % 204.32/204.66 (step @p489 :rule symm :premises (@p663)) % 204.32/204.66 (step @p490 :rule cong :premises (@p489 @p121 @p61) :args (@t78)) % 204.32/204.66 (step @p491 :rule false_intro :premises (@p664)) % 204.32/204.66 (step @p492 :rule symm :premises (@p491)) % 204.32/204.66 (step @p493 :rule trans :premises (@p492 @p490 @p488 @p487)) % 204.32/204.66 (step @p494 false :rule eq_resolve :premises (@p493 @p159)) % 204.32/204.66 (step-pop @p665 :rule scope :premises (@p494)) % 204.32/204.66 (step-pop @p666 :rule scope :premises (@p665)) % 204.32/204.66 (step-pop @p667 :rule scope :premises (@p666)) % 204.32/204.66 (step @p495 :rule process_scope :premises (@p667) :args (false)) % 204.32/204.66 (assume-push @p668 @t59) % 204.32/204.66 (assume-push @p669 @t60) % 204.32/204.66 (assume-push @p670 @t82) % 204.32/204.66 (step @p502 :rule and_intro :premises (@p669 @p668 @p670)) % 204.32/204.66 (step-pop @p671 :rule scope :premises (@p502)) % 204.32/204.66 (step-pop @p672 :rule scope :premises (@p671)) % 204.32/204.66 (step-pop @p673 :rule scope :premises (@p672)) % 204.32/204.66 (step @p503 :rule process_scope :premises (@p673) :args (@t178)) % 204.32/204.66 (step @p507 :rule implies_elim :premises (@p503)) % 204.32/204.66 (step @p508 :rule resolution :premises (@p507 @p495) :args (true @t178)) % 204.32/204.66 (step @p509 :rule not_and :premises (@p508)) % 204.32/204.66 (step @p510 :rule eq_resolve :premises (@p509 @p483)) % 204.32/204.66 (step @p511 :rule reordering :premises (@p510) :args ((or @t78 @t61 @t102))) % 204.32/204.66 (step @p512 :rule chain_m_resolution :premises (@p82 @p49 @p47 @p46 @p44 @p43 @p41 @p40 @p37 @p511 @p481 @p479 @p334 @p333 @p331 @p330 @p328 @p327 @p325) :args (@t41 @t105 (@list @t70 @t72 @t68 @t69 @t65 @t67 @t58 @t62 @t59 @t60 @t42 @t177 @t51 @t139 @t78 @t138 @t134 @t136))) % 204.32/204.66 (step @p513 :rule chain_m_resolution :premises (@p26 @p184 @p479 @p512 @p324) :args (@t38 (@list false false false false) (@list @t44 @t42 @t41 @t39))) % 204.32/204.66 (step @p514 :rule cnf_or_pos :args (@t179)) % 204.32/204.66 (step @p515 :rule reordering :premises (@p514) :args ((or @t37 @t135 (not @t179)))) % 204.32/204.66 (step @p516 :rule chain_m_resolution :premises (@p515 @p513 @p27) :args (@t135 @t180 (@list @t37 @t179))) % 204.32/204.66 (step @p517 :rule instantiate :premises (@p21) :args (@t46)) % 204.32/204.66 (step @p518 :rule instantiate :premises (@p22) :args (@t50)) % 204.32/204.66 (step @p519 :rule cnf_or_pos :args (@t181)) % 204.32/204.66 (step @p520 :rule reordering :premises (@p519) :args ((or @t37 @t52 (not @t181)))) % 204.32/204.66 (step @p521 :rule chain_m_resolution :premises (@p520 @p513 @p518) :args (@t52 @t180 (@list @t37 @t181))) % 204.32/204.66 (step @p522 :rule instantiate :premises (@p24) :args (@t46)) % 204.32/204.66 (step @p523 :rule cnf_or_pos :args (@t182)) % 204.32/204.66 (step @p524 :rule reordering :premises (@p523) :args ((or @t37 @t48 (not @t182)))) % 204.32/204.66 (step @p525 :rule chain_m_resolution :premises (@p524 @p513 @p522) :args (@t48 @t180 (@list @t37 @t182))) % 204.32/204.66 (step @p526 :rule cnf_or_pos :args (@t183)) % 204.32/204.66 (step @p527 :rule reordering :premises (@p526) :args ((or @t40 @t55 @t47 @t51 (not @t183)))) % 204.32/204.66 (step @p528 :rule chain_m_resolution :premises (@p527 @p324 @p525 @p521 @p517) :args (@t55 (@list false true true false) (@list @t39 @t47 @t51 @t183))) % 204.32/204.66 (step @p529 :rule chain_m_resolution :premises (@p408 @p528 @p525) :args (@t160 @t184 (@list @t55 @t47))) % 204.32/204.66 (step @p530 :rule chain_m_resolution :premises (@p387 @p384 @p383) :args ((or @t157 @t134 @t56) @t184 (@list @t158 @t146))) % 204.32/204.66 (step @p531 false :rule chain_m_resolution :premises (@p530 @p529 @p528 @p516) :args (false (@list true false true) (@list @t157 @t55 @t134))) % 204.32/204.66 ) % 204.32/204.66 % SZS output end Proof % 204.32/204.66 % cvc5 exiting %------------------------------------------------------------------------------