%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG039-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:45:27 AM UTC 2026 % Result : Unsatisfiable 0.87s 1.05s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG039-1 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 14:03:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.87/1.05 % SZS status Unsatisfiable % 0.87/1.05 % SZS output start Proof % 0.87/1.06 ( % 0.87/1.06 (declare-sort $$unsorted 0) % 0.87/1.06 (declare-const tptp.a $$unsorted) % 0.87/1.06 (declare-const tptp.c $$unsorted) % 0.87/1.06 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.87/1.06 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.06 (declare-const tptp.d $$unsorted) % 0.87/1.06 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.06 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.06 (declare-const tptp.b $$unsorted) % 0.87/1.06 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.06 (declare-const tptp.additive_identity $$unsorted) % 0.87/1.06 (define @t1 () (@var "X" $$unsorted)) % 0.87/1.06 (define @t2 () (@list @t1)) % 0.87/1.06 (define @t3 () (@var "Y" $$unsorted)) % 0.87/1.06 (define @t4 () (@list @t1 @t3)) % 0.87/1.06 (define @t5 () (tptp.additive_inverse @t1)) % 0.87/1.06 (define @t6 () (@var "W" $$unsorted)) % 0.87/1.06 (define @t7 () (@var "V" $$unsorted)) % 0.87/1.06 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 0.87/1.06 (define @t9 () (@var "Z" $$unsorted)) % 0.87/1.06 (define @t10 () (@var "U" $$unsorted)) % 0.87/1.06 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 0.87/1.06 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 0.87/1.06 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 0.87/1.06 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 0.87/1.06 (define @t15 () (tptp.product @t1 @t7 @t6)) % 0.87/1.06 (define @t16 () (tptp.product @t10 @t9 @t6)) % 0.87/1.06 (define @t17 () (not (tptp.product @t3 @t9 @t7))) % 0.87/1.06 (define @t18 () (not (tptp.product @t1 @t3 @t10))) % 0.87/1.06 (define @t19 () (@var "V4" $$unsorted)) % 0.87/1.06 (define @t20 () (@var "V2" $$unsorted)) % 0.87/1.06 (define @t21 () (@var "V1" $$unsorted)) % 0.87/1.06 (define @t22 () (tptp.sum @t21 @t20 @t19)) % 0.87/1.06 (define @t23 () (@var "V3" $$unsorted)) % 0.87/1.06 (define @t24 () (tptp.product @t1 @t23 @t19)) % 0.87/1.06 (define @t25 () (not (tptp.sum @t3 @t9 @t23))) % 0.87/1.06 (define @t26 () (not (tptp.product @t1 @t9 @t20))) % 0.87/1.06 (define @t27 () (not (tptp.product @t1 @t3 @t21))) % 0.87/1.06 (define @t28 () (@list @t1 @t3 @t21 @t9 @t20 @t23 @t19)) % 0.87/1.06 (define @t29 () (not @t22)) % 0.87/1.06 (define @t30 () (tptp.product @t23 @t1 @t19)) % 0.87/1.06 (define @t31 () (not (tptp.product @t9 @t1 @t20))) % 0.87/1.06 (define @t32 () (not (tptp.product @t3 @t1 @t21))) % 0.87/1.06 (define @t33 () (@list @t3 @t1 @t21 @t9 @t20 @t23 @t19)) % 0.87/1.06 (define @t34 () (= @t10 @t7)) % 0.87/1.06 (define @t35 () (@list @t1 @t3 @t10 @t7)) % 0.87/1.06 (define @t36 () (forall @t35 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t34))) % 0.87/1.06 (define @t37 () (forall @t35 (or @t18 (not (tptp.product @t1 @t3 @t7)) @t34))) % 0.87/1.06 (define @t38 () (@var "B" $$unsorted)) % 0.87/1.06 (define @t39 () (@var "A" $$unsorted)) % 0.87/1.06 (define @t40 () (tptp.add @t39 @t38)) % 0.87/1.06 (define @t41 () (@list @t39 @t38)) % 0.87/1.06 (define @t42 () (@list @t39)) % 0.87/1.06 (define @t43 () (tptp.multiply @t39 @t39)) % 0.87/1.06 (define @t44 () (forall @t42 (= @t43 @t39))) % 0.87/1.06 (define @t45 () (tptp.product tptp.a tptp.c tptp.c)) % 0.87/1.06 (define @t46 () (tptp.product tptp.b tptp.d tptp.d)) % 0.87/1.06 (define @t47 () (tptp.product tptp.c tptp.b tptp.c)) % 0.87/1.06 (define @t48 () (tptp.multiply @t39 @t38)) % 0.87/1.06 (define @t49 () (tptp.multiply tptp.b tptp.c)) % 0.87/1.06 (define @t50 () (tptp.multiply tptp.d tptp.a)) % 0.87/1.06 (define @t51 () (tptp.product tptp.b tptp.a @t50)) % 0.87/1.06 (define @t52 () (tptp.multiply tptp.a tptp.d)) % 0.87/1.06 (define @t53 () (tptp.multiply tptp.d tptp.b)) % 0.87/1.06 (define @t54 () (tptp.multiply tptp.c tptp.a)) % 0.87/1.06 (define @t55 () (tptp.product tptp.a tptp.d @t54)) % 0.87/1.06 (define @t56 () (tptp.multiply tptp.b tptp.d)) % 0.87/1.06 (define @t57 () (tptp.product tptp.b tptp.a @t56)) % 0.87/1.06 (define @t58 () (tptp.product tptp.c tptp.a @t52)) % 0.87/1.06 (define @t59 () (tptp.add tptp.c tptp.a)) % 0.87/1.06 (define @t60 () (tptp.add tptp.b tptp.a)) % 0.87/1.06 (define @t61 () (tptp.add tptp.a tptp.c)) % 0.87/1.06 (define @t62 () (tptp.add tptp.a tptp.b)) % 0.87/1.06 (define @t63 () (tptp.add tptp.d tptp.b)) % 0.87/1.06 (define @t64 () (tptp.add tptp.b tptp.d)) % 0.87/1.06 (define @t65 () (tptp.add tptp.c tptp.b)) % 0.87/1.06 (define @t66 () (tptp.product @t62 tptp.b @t65)) % 0.87/1.06 (define @t67 () (tptp.add tptp.b tptp.c)) % 0.87/1.06 (define @t68 () (tptp.product tptp.a tptp.b tptp.c)) % 0.87/1.06 (define @t69 () (tptp.product tptp.c tptp.b tptp.b)) % 0.87/1.06 (define @t70 () (not @t69)) % 0.87/1.06 (define @t71 () (not @t47)) % 0.87/1.06 (define @t72 () (or @t71 @t70 (= tptp.c tptp.b))) % 0.87/1.06 (define @t73 () (= tptp.b tptp.c)) % 0.87/1.06 (define @t74 () (or @t71 @t70 @t73)) % 0.87/1.06 (define @t75 () (@list false)) % 0.87/1.06 (define @t76 () (@list @t37)) % 0.87/1.06 (define @t77 () (tptp.product tptp.a tptp.b tptp.b)) % 0.87/1.06 (define @t78 () (@list tptp.b tptp.c)) % 0.87/1.06 (define @t79 () (@list tptp.a tptp.c)) % 0.87/1.06 (define @t80 () (tptp.product @t61 tptp.b @t67)) % 0.87/1.06 (define @t81 () (tptp.sum tptp.b tptp.c @t67)) % 0.87/1.06 (define @t82 () (not @t81)) % 0.87/1.06 (define @t83 () (tptp.sum tptp.a tptp.c @t61)) % 0.87/1.06 (define @t84 () (not @t83)) % 0.87/1.06 (define @t85 () (not @t77)) % 0.87/1.06 (define @t86 () (or @t85 @t71 @t84 @t82 @t80)) % 0.87/1.06 (define @t87 () (@list false false false false false)) % 0.87/1.06 (define @t88 () (tptp.sum tptp.a tptp.c @t59)) % 0.87/1.06 (define @t89 () (not @t88)) % 0.87/1.06 (define @t90 () (or @t84 @t89 (= @t61 @t59))) % 0.87/1.06 (define @t91 () (= @t59 @t61)) % 0.87/1.06 (define @t92 () (or @t84 @t89 @t91)) % 0.87/1.06 (define @t93 () (@list @t36)) % 0.87/1.06 (define @t94 () (@list false false false)) % 0.87/1.06 (define @t95 () (tptp.product @t59 tptp.b @t67)) % 0.87/1.06 (define @t96 () (tptp.sum @t67 tptp.c tptp.b)) % 0.87/1.06 (define @t97 () (not @t96)) % 0.87/1.06 (define @t98 () (tptp.sum @t59 tptp.a tptp.c)) % 0.87/1.06 (define @t99 () (not @t98)) % 0.87/1.06 (define @t100 () (not @t68)) % 0.87/1.06 (define @t101 () (not @t95)) % 0.87/1.06 (define @t102 () (or @t101 @t100 @t99 @t97 @t69)) % 0.87/1.06 (define @t103 () (tptp.product tptp.b tptp.d tptp.b)) % 0.87/1.06 (define @t104 () (not @t103)) % 0.87/1.06 (define @t105 () (not @t46)) % 0.87/1.06 (define @t106 () (or @t105 @t104 (= tptp.d tptp.b))) % 0.87/1.06 (define @t107 () (= tptp.b tptp.d)) % 0.87/1.06 (define @t108 () (or @t105 @t104 @t107)) % 0.87/1.06 (define @t109 () (tptp.sum tptp.b tptp.d @t63)) % 0.87/1.06 (define @t110 () (not @t109)) % 0.87/1.06 (define @t111 () (tptp.sum tptp.b tptp.d @t64)) % 0.87/1.06 (define @t112 () (not @t111)) % 0.87/1.06 (define @t113 () (or @t112 @t110 (= @t64 @t63))) % 0.87/1.06 (define @t114 () (= @t63 @t64)) % 0.87/1.06 (define @t115 () (or @t112 @t110 @t114)) % 0.87/1.06 (define @t116 () (@list tptp.b tptp.d)) % 0.87/1.06 (define @t117 () (= tptp.d @t56)) % 0.87/1.06 (define @t118 () (tptp.product tptp.b tptp.d @t56)) % 0.87/1.06 (define @t119 () (not @t118)) % 0.87/1.06 (define @t120 () (or @t105 @t119 @t117)) % 0.87/1.06 (define @t121 () (= @t50 @t56)) % 0.87/1.06 (define @t122 () (not @t57)) % 0.87/1.06 (define @t123 () (not @t51)) % 0.87/1.06 (define @t124 () (or @t123 @t122 @t121)) % 0.87/1.06 (define @t125 () (tptp.product tptp.b tptp.a tptp.a)) % 0.87/1.06 (define @t126 () (not @t125)) % 0.87/1.06 (define @t127 () (or @t123 @t126 (= @t50 tptp.a))) % 0.87/1.06 (define @t128 () (= tptp.a @t50)) % 0.87/1.06 (define @t129 () (or @t123 @t126 @t128)) % 0.87/1.06 (define @t130 () (tptp.multiply tptp.a tptp.a)) % 0.87/1.06 (define @t131 () (@list tptp.d tptp.b)) % 0.87/1.06 (define @t132 () (= @t52 @t56)) % 0.87/1.06 (define @t133 () (tptp.product tptp.a @t56 @t56)) % 0.87/1.06 (define @t134 () (not @t133)) % 0.87/1.06 (define @t135 () (tptp.product tptp.a @t56 @t52)) % 0.87/1.06 (define @t136 () (not @t135)) % 0.87/1.06 (define @t137 () (or @t136 @t134 @t132)) % 0.87/1.06 (define @t138 () (tptp.product tptp.a @t52 @t130)) % 0.87/1.06 (define @t139 () (tptp.product tptp.c tptp.a @t130)) % 0.87/1.06 (define @t140 () (not @t138)) % 0.87/1.06 (define @t141 () (not @t58)) % 0.87/1.06 (define @t142 () (not @t45)) % 0.87/1.06 (define @t143 () (or @t142 @t141 @t140 @t139)) % 0.87/1.06 (define @t144 () (@list false false false false)) % 0.87/1.06 (define @t145 () (tptp.sum tptp.a tptp.b @t60)) % 0.87/1.06 (define @t146 () (not @t145)) % 0.87/1.06 (define @t147 () (tptp.sum tptp.a tptp.b @t62)) % 0.87/1.06 (define @t148 () (not @t147)) % 0.87/1.06 (define @t149 () (or @t148 @t146 (= @t62 @t60))) % 0.87/1.06 (define @t150 () (= @t60 @t62)) % 0.87/1.06 (define @t151 () (or @t148 @t146 @t150)) % 0.87/1.06 (define @t152 () (@list tptp.a tptp.b)) % 0.87/1.06 (define @t153 () (tptp.product @t62 @t62 @t61)) % 0.87/1.06 (define @t154 () (tptp.sum @t61 @t65 @t62)) % 0.87/1.06 (define @t155 () (tptp.sum tptp.c tptp.b @t65)) % 0.87/1.06 (define @t156 () (not @t155)) % 0.87/1.06 (define @t157 () (tptp.sum @t61 tptp.c tptp.a)) % 0.87/1.06 (define @t158 () (not @t157)) % 0.87/1.06 (define @t159 () (or @t158 @t156 @t148 @t154)) % 0.87/1.06 (define @t160 () (tptp.product @t62 tptp.a @t62)) % 0.87/1.06 (define @t161 () (not @t154)) % 0.87/1.06 (define @t162 () (tptp.sum @t62 tptp.b tptp.a)) % 0.87/1.06 (define @t163 () (not @t162)) % 0.87/1.06 (define @t164 () (not @t66)) % 0.87/1.06 (define @t165 () (not @t153)) % 0.87/1.06 (define @t166 () (or @t165 @t164 @t163 @t161 @t160)) % 0.87/1.06 (define @t167 () (tptp.product @t60 tptp.d @t64)) % 0.87/1.06 (define @t168 () (tptp.sum @t63 tptp.d tptp.b)) % 0.87/1.06 (define @t169 () (tptp.sum tptp.d @t63 tptp.b)) % 0.87/1.06 (define @t170 () (not @t169)) % 0.87/1.06 (define @t171 () (tptp.sum tptp.d tptp.b @t63)) % 0.87/1.06 (define @t172 () (not @t171)) % 0.87/1.06 (define @t173 () (or @t172 @t110 @t170 @t168)) % 0.87/1.06 (define @t174 () (tptp.product tptp.a tptp.d @t52)) % 0.87/1.06 (define @t175 () (not @t174)) % 0.87/1.06 (define @t176 () (not @t55)) % 0.87/1.06 (define @t177 () (or @t176 @t175 (= @t54 @t52))) % 0.87/1.06 (define @t178 () (= @t52 @t54)) % 0.87/1.06 (define @t179 () (or @t176 @t175 @t178)) % 0.87/1.06 (define @t180 () (tptp.sum @t64 @t54 tptp.b)) % 0.87/1.06 (define @t181 () (not @t180)) % 0.87/1.06 (define @t182 () (tptp.sum @t60 tptp.a tptp.b)) % 0.87/1.06 (define @t183 () (not @t182)) % 0.87/1.06 (define @t184 () (not @t167)) % 0.87/1.06 (define @t185 () (or @t184 @t176 @t183 @t181 @t103)) % 0.87/1.06 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 0.87/1.06 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 0.87/1.06 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 0.87/1.06 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 0.87/1.06 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 0.87/1.06 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 0.87/1.06 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 0.87/1.06 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 0.87/1.06 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 0.87/1.06 (assume @p10 (forall @t14 (or @t18 @t17 (not @t16) @t15))) % 0.87/1.06 (assume @p11 (forall @t14 (or @t18 @t17 (not @t15) @t16))) % 0.87/1.06 (assume @p12 (forall @t28 (or @t27 @t26 @t25 (not @t24) @t22))) % 0.87/1.06 (assume @p13 (forall @t28 (or @t27 @t26 @t25 @t29 @t24))) % 0.87/1.06 (assume @p14 (forall @t33 (or @t32 @t31 @t25 (not @t30) @t22))) % 0.87/1.06 (assume @p15 (forall @t33 (or @t32 @t31 @t25 @t29 @t30))) % 0.87/1.06 (assume @p16 @t36) % 0.87/1.06 (assume @p17 @t37) % 0.87/1.06 (assume @p18 (forall @t41 (tptp.sum @t39 @t40 @t38))) % 0.87/1.06 (assume @p19 (forall @t41 (tptp.sum @t40 @t38 @t39))) % 0.87/1.06 (assume @p20 (forall @t42 (tptp.sum @t39 @t39 tptp.additive_identity))) % 0.87/1.06 (assume @p21 (forall @t42 (= (tptp.add @t39 tptp.additive_identity) @t39))) % 0.87/1.06 (assume @p22 (forall @t42 (= (tptp.add @t39 @t39) tptp.additive_identity))) % 0.87/1.06 (assume @p23 @t44) % 0.87/1.06 (assume @p24 (= (tptp.multiply tptp.a tptp.b) tptp.c)) % 0.87/1.06 (assume @p25 (= (tptp.multiply tptp.b tptp.a) tptp.d)) % 0.87/1.06 (assume @p26 (forall @t41 (tptp.sum @t39 @t38 (tptp.add @t38 @t39)))) % 0.87/1.06 (assume @p27 @t45) % 0.87/1.06 (assume @p28 @t46) % 0.87/1.06 (assume @p29 @t47) % 0.87/1.06 (assume @p30 (tptp.product tptp.d tptp.a tptp.d)) % 0.87/1.06 (assume @p31 (forall @t41 (tptp.product @t39 @t48 @t48))) % 0.87/1.06 (assume @p32 (forall @t41 (tptp.product tptp.a (tptp.multiply tptp.b @t39) (tptp.multiply @t38 @t39)))) % 0.87/1.06 (assume @p33 (tptp.product tptp.a tptp.b (tptp.multiply tptp.c tptp.b))) % 0.87/1.06 (assume @p34 (tptp.product tptp.a @t49 tptp.c)) % 0.87/1.06 (assume @p35 (forall @t42 (tptp.product tptp.b (tptp.multiply tptp.a @t39) (tptp.multiply tptp.d @t39)))) % 0.87/1.06 (assume @p36 @t51) % 0.87/1.06 (assume @p37 (tptp.product tptp.b @t52 tptp.d)) % 0.87/1.06 (assume @p38 (tptp.product tptp.b tptp.c @t53)) % 0.87/1.06 (assume @p39 @t55) % 0.87/1.06 (assume @p40 (forall @t41 (tptp.product @t48 @t38 @t48))) % 0.87/1.06 (assume @p41 (forall @t42 (tptp.product (tptp.multiply @t39 tptp.a) tptp.b (tptp.multiply @t39 tptp.c)))) % 0.87/1.06 (assume @p42 (tptp.product tptp.a tptp.b (tptp.multiply tptp.a tptp.c))) % 0.87/1.06 (assume @p43 (tptp.product @t54 tptp.b tptp.c)) % 0.87/1.06 (assume @p44 (tptp.product tptp.d tptp.b @t49)) % 0.87/1.06 (assume @p45 (forall @t42 (tptp.product (tptp.multiply @t39 tptp.b) tptp.a (tptp.multiply @t39 tptp.d)))) % 0.87/1.06 (assume @p46 @t57) % 0.87/1.06 (assume @p47 (tptp.product @t53 tptp.a tptp.d)) % 0.87/1.06 (assume @p48 @t58) % 0.87/1.06 (assume @p49 (tptp.product tptp.a @t60 @t59)) % 0.87/1.06 (assume @p50 (tptp.product tptp.a @t62 @t61)) % 0.87/1.06 (assume @p51 (tptp.product tptp.b @t62 @t63)) % 0.87/1.06 (assume @p52 (tptp.product tptp.b @t60 @t64)) % 0.87/1.06 (assume @p53 @t66) % 0.87/1.06 (assume @p54 (tptp.product 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chain_m_resolution :premises (@p226 @p224 @p223 @p222) :args (@t150 @t94 (@list @t147 @t145 @t151))) % 0.87/1.06 (step @p228 :rule symm :premises (@p227)) % 0.87/1.06 (step @p229 :rule trans :premises (@p228 @p210 @p157)) % 0.87/1.06 (step @p230 :rule cong :premises (@p229 @p229 @p229) :args ((tptp.product @t62 @t62 @t62))) % 0.87/1.06 (step @p231 :rule symm :premises (@p123)) % 0.87/1.06 (step @p232 :rule cong :premises (@p84 @p231) :args (@t61)) % 0.87/1.06 (step @p233 :rule refl :args (@t62)) % 0.87/1.06 (step @p234 :rule cong :premises (@p233 @p233 @p232) :args (@t153)) % 0.87/1.06 (step @p235 :rule trans :premises (@p234 @p230 @p139)) % 0.87/1.06 (step @p236 :rule true_elim :premises (@p235)) % 0.87/1.06 (step @p237 :rule instantiate :premises (@p7) :args ((@list @t61 tptp.c tptp.a tptp.b @t65 @t62))) % 0.87/1.06 (step @p238 :rule instantiate :premises (@p19) :args (@t79)) % 0.87/1.06 (step @p239 :rule instantiate :premises (@p4) :args ((@list tptp.c tptp.b))) % 0.87/1.06 (step @p240 :rule cnf_or_pos :args (@t159)) % 0.87/1.06 (step @p241 :rule reordering :premises (@p240) :args ((or @t148 @t156 @t158 @t154 (not @t159)))) % 0.87/1.06 (step @p242 :rule chain_m_resolution :premises (@p241 @p224 @p239 @p238 @p237) :args (@t154 @t144 (@list @t147 @t155 @t157 @t159))) % 0.87/1.06 (step @p243 :rule instantiate :premises (@p19) :args (@t152)) % 0.87/1.06 (step @p244 :rule cnf_or_pos :args (@t166)) % 0.87/1.06 (step @p245 :rule reordering :premises (@p244) :args ((or @t164 @t163 @t161 @t165 @t160 (not @t166)))) % 0.87/1.06 (step @p246 :rule chain_m_resolution :premises (@p245 @p53 @p243 @p242 @p236 @p137) :args (@t160 @t87 (@list @t66 @t162 @t154 @t153 @t166))) % 0.87/1.06 (step @p247 :rule true_intro :premises (@p246)) % 0.87/1.06 (step @p248 :rule trans :premises (@p112 @p232 @p228)) % 0.87/1.06 (step @p249 :rule trans :premises (@p248 @p227)) % 0.87/1.06 (step @p250 :rule cong :premises (@p249 @p84 @p233) :args ((tptp.product @t59 tptp.a @t62))) % 0.87/1.06 (step @p251 :rule symm :premises (@p208)) % 0.87/1.06 (step @p252 :rule symm :premises (@p167)) % 0.87/1.06 (step @p253 :rule trans :premises (@p162 @p252 @p251)) % 0.87/1.06 (step @p254 :rule cong :premises (@p95 @p253) :args (@t64)) % 0.87/1.06 (step @p255 :rule trans :premises (@p254 @p227)) % 0.87/1.06 (step @p256 :rule symm :premises (@p248)) % 0.87/1.06 (step @p257 :rule cong :premises (@p256 @p84 @p255) :args ((tptp.product @t60 tptp.a @t64))) % 0.87/1.06 (step @p258 :rule refl :args (@t64)) % 0.87/1.06 (step @p259 :rule cong :premises (@p228 @p253 @p258) :args ((tptp.product @t62 tptp.d @t64))) % 0.87/1.06 (step @p260 :rule refl :args (tptp.d)) % 0.87/1.06 (step @p261 :rule cong :premises (@p227 @p260 @p258) :args (@t167)) % 0.87/1.06 (step @p262 :rule trans :premises (@p261 @p259 @p257 @p250 @p247)) % 0.87/1.06 (step @p263 :rule true_elim :premises (@p262)) % 0.87/1.06 (step @p264 :rule instantiate :premises (@p8) :args ((@list tptp.d tptp.b @t63 tptp.d @t63 tptp.b))) % 0.87/1.06 (step @p265 :rule instantiate :premises (@p18) :args (@t131)) % 0.87/1.06 (step @p266 :rule instantiate :premises (@p4) :args (@t131)) % 0.87/1.06 (step @p267 :rule cnf_or_pos :args (@t173)) % 0.87/1.06 (step @p268 :rule reordering :premises (@p267) :args ((or @t172 @t170 @t110 @t168 (not @t173)))) % 0.87/1.06 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p265 @p152 @p264) :args (@t168 @t144 (@list @t171 @t169 @t109 @t173))) % 0.87/1.06 (step @p270 :rule true_intro :premises (@p269)) % 0.87/1.06 (step @p271 :rule eq-symm :args (@t54 @t52)) % 0.87/1.06 (step @p272 :rule refl :args (@t175)) % 0.87/1.06 (step @p273 :rule refl :args (@t176)) % 0.87/1.06 (step @p274 :rule nary_cong :premises (@p273 @p272 @p271) :args (@t177)) % 0.87/1.06 (step @p275 :rule cong :premises (@p67 @p274) :args ((=> @t37 @t177))) % 0.87/1.06 (assume-push @p320 @t37) % 0.87/1.06 (step @p277 :rule instantiate :premises (@p17) :args ((@list tptp.a tptp.d @t54 @t52))) % 0.87/1.06 (step-pop @p321 :rule scope :premises (@p277)) % 0.87/1.06 (step @p278 :rule process_scope :premises (@p321) :args (@t177)) % 0.87/1.06 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 0.87/1.06 (step @p281 :rule implies_elim :premises (@p280)) % 0.87/1.06 (step @p282 :rule chain_m_resolution :premises (@p281 @p17) :args (@t179 @t75 @t76)) % 0.87/1.06 (step @p283 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.d))) % 0.87/1.06 (step @p284 :rule cnf_or_pos :args (@t179)) % 0.87/1.06 (step @p285 :rule reordering :premises (@p284) :args ((or @t176 @t175 @t178 (not @t179)))) % 0.87/1.06 (step @p286 :rule chain_m_resolution :premises (@p285 @p39 @p283 @p282) :args (@t178 @t94 (@list @t55 @t174 @t179))) % 0.87/1.06 (step @p287 :rule symm :premises (@p286)) % 0.87/1.06 (step @p288 :rule trans :premises (@p287 @p192 @p163)) % 0.87/1.06 (step @p289 :rule cong :premises (@p157 @p288 @p95) :args (@t180)) % 0.87/1.06 (step @p290 :rule trans :premises (@p289 @p270)) % 0.87/1.06 (step @p291 :rule true_elim :premises (@p290)) % 0.87/1.06 (step @p292 :rule instantiate :premises (@p19) :args ((@list tptp.b tptp.a))) % 0.87/1.06 (step @p293 :rule cnf_or_pos :args (@t185)) % 0.87/1.06 (step @p294 :rule reordering :premises (@p293) :args ((or @t176 @t183 @t181 @t184 @t103 (not @t185)))) % 0.87/1.06 (step @p295 :rule chain_m_resolution :premises (@p294 @p39 @p292 @p291 @p263 @p136) :args (@t103 @t87 (@list @t55 @t182 @t180 @t167 @t185))) % 0.87/1.06 (step @p296 :rule cnf_or_pos :args (@t108)) % 0.87/1.06 (step @p297 :rule reordering :premises (@p296) :args ((or @t105 @t104 @t107 (not @t108)))) % 0.87/1.06 (step @p298 :rule chain_m_resolution :premises (@p297 @p28 @p295 @p135) :args (@t107 @t94 (@list @t46 @t103 @t108))) % 0.87/1.06 (step @p299 :rule symm :premises (@p298)) % 0.87/1.06 (step @p300 :rule trans :premises (@p299 @p123 @p62)) % 0.87/1.06 (step @p301 :rule symm :premises (@p300)) % 0.87/1.06 (step @p302 :rule trans :premises (@p62 @p301)) % 0.87/1.06 (step @p303 :rule true_intro :premises (@p302)) % 0.87/1.06 (step @p304 :rule false_intro :premises (@p60)) % 0.87/1.06 (step @p305 :rule symm :premises (@p304)) % 0.87/1.06 (step @p306 :rule trans :premises (@p305 @p303)) % 0.87/1.06 (step @p307 false :rule eq_resolve :premises (@p306 @p61)) % 0.87/1.06 ) % 0.87/1.06 % SZS output end Proof % 0.87/1.06 % cvc5 exiting %------------------------------------------------------------------------------