%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP197-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:20:11 AM UTC 2026 % Result : Unsatisfiable 36.45s 36.68s % Output : Proof 36.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP197-1 : TPTP v9.2.1. Released v2.2.0. % 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 : n008.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 00:58:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 21.44/21.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.42/27.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.55/33.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.45/36.68 % SZS status Unsatisfiable % 36.45/36.68 % SZS output start Proof % 36.56/36.70 ( % 36.56/36.70 (declare-sort $$unsorted 0) % 36.56/36.70 (declare-const tptp.a $$unsorted) % 36.56/36.70 (declare-const tptp.b $$unsorted) % 36.56/36.70 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 36.56/36.70 (define @t1 () (@var "Z" $$unsorted)) % 36.56/36.70 (define @t2 () (@var "Y" $$unsorted)) % 36.56/36.70 (define @t3 () (@var "X" $$unsorted)) % 36.56/36.70 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.multiply (tptp.multiply @t3 @t2) @t1) (tptp.multiply @t3 (tptp.multiply @t2 @t1))))) % 36.56/36.70 (define @t5 () (@var "C" $$unsorted)) % 36.56/36.70 (define @t6 () (@var "A" $$unsorted)) % 36.56/36.70 (define @t7 () (@var "B" $$unsorted)) % 36.56/36.70 (define @t8 () (tptp.multiply @t6 @t7)) % 36.56/36.70 (define @t9 () (@list @t6 @t7 @t5)) % 36.56/36.70 (define @t10 () (forall @t9 (or (not (= @t8 (tptp.multiply @t5 @t7))) (= @t6 @t5)))) % 36.56/36.70 (define @t11 () (forall @t9 (or (not (= @t8 (tptp.multiply @t6 @t5))) (= @t7 @t5)))) % 36.56/36.70 (define @t12 () (tptp.multiply tptp.a tptp.b)) % 36.56/36.70 (define @t13 () (tptp.multiply tptp.a @t12)) % 36.56/36.70 (define @t14 () (tptp.multiply tptp.b @t13)) % 36.56/36.70 (define @t15 () (tptp.multiply tptp.a @t14)) % 36.56/36.70 (define @t16 () (tptp.multiply tptp.a tptp.a)) % 36.56/36.70 (define @t17 () (tptp.multiply tptp.a @t16)) % 36.56/36.70 (define @t18 () (tptp.multiply tptp.b (tptp.multiply tptp.b @t17))) % 36.56/36.70 (define @t19 () (= @t18 @t15)) % 36.56/36.70 (define @t20 () (tptp.multiply @t16 tptp.b)) % 36.56/36.70 (define @t21 () (= @t20 @t13)) % 36.56/36.70 (define @t22 () (@list tptp.a tptp.a tptp.b)) % 36.56/36.70 (define @t23 () (= @t13 @t20)) % 36.56/36.70 (define @t24 () (@list false)) % 36.56/36.70 (define @t25 () (@list @t4)) % 36.56/36.70 (define @t26 () (tptp.multiply @t12 @t13)) % 36.56/36.70 (define @t27 () (= @t26 @t15)) % 36.56/36.70 (define @t28 () (@list tptp.a tptp.b @t13)) % 36.56/36.70 (define @t29 () (= @t15 @t26)) % 36.56/36.70 (define @t30 () (tptp.multiply @t16 tptp.a)) % 36.56/36.70 (define @t31 () (= @t30 @t17)) % 36.56/36.70 (define @t32 () (= @t17 @t30)) % 36.56/36.70 (define @t33 () (tptp.multiply tptp.b tptp.b)) % 36.56/36.70 (define @t34 () (tptp.multiply @t33 @t17)) % 36.56/36.70 (define @t35 () (= @t34 @t18)) % 36.56/36.70 (define @t36 () (= @t18 @t34)) % 36.56/36.70 (define @t37 () (tptp.multiply @t12 tptp.b)) % 36.56/36.70 (define @t38 () (tptp.multiply tptp.a @t33)) % 36.56/36.70 (define @t39 () (= @t37 @t38)) % 36.56/36.70 (define @t40 () (@list tptp.a tptp.b tptp.b)) % 36.56/36.70 (define @t41 () (= @t38 @t37)) % 36.56/36.70 (define @t42 () (tptp.multiply @t16 @t33)) % 36.56/36.70 (define @t43 () (tptp.multiply tptp.a @t38)) % 36.56/36.70 (define @t44 () (= @t42 @t43)) % 36.56/36.70 (define @t45 () (@list tptp.a tptp.a @t33)) % 36.56/36.70 (define @t46 () (= @t43 @t42)) % 36.56/36.70 (define @t47 () (tptp.multiply @t20 tptp.b)) % 36.56/36.70 (define @t48 () (tptp.multiply @t47 tptp.a)) % 36.56/36.70 (define @t49 () (= @t26 @t48)) % 36.56/36.70 (define @t50 () (tptp.multiply @t26 @t12)) % 36.56/36.70 (define @t51 () (tptp.multiply @t48 @t12)) % 36.56/36.70 (define @t52 () (not (= @t50 @t51))) % 36.56/36.70 (define @t53 () (or @t52 @t49)) % 36.56/36.70 (define @t54 () (= @t51 @t50)) % 36.56/36.70 (define @t55 () (not @t54)) % 36.56/36.70 (define @t56 () (or @t55 @t49)) % 36.56/36.70 (define @t57 () (tptp.multiply @t13 tptp.a)) % 36.56/36.70 (define @t58 () (tptp.multiply @t12 tptp.a)) % 36.56/36.70 (define @t59 () (tptp.multiply tptp.a @t58)) % 36.56/36.70 (define @t60 () (= @t57 @t59)) % 36.56/36.70 (define @t61 () (tptp.multiply @t59 tptp.b)) % 36.56/36.70 (define @t62 () (tptp.multiply @t58 tptp.b)) % 36.56/36.70 (define @t63 () (tptp.multiply tptp.a @t62)) % 36.56/36.70 (define @t64 () (= @t61 @t63)) % 36.56/36.70 (define @t65 () (@list tptp.a @t58 tptp.b)) % 36.56/36.70 (define @t66 () (tptp.multiply @t12 @t12)) % 36.56/36.70 (define @t67 () (= @t62 @t66)) % 36.56/36.70 (define @t68 () (@list @t12 tptp.a tptp.b)) % 36.56/36.70 (define @t69 () (tptp.multiply tptp.a @t66)) % 36.56/36.70 (define @t70 () (tptp.multiply tptp.b tptp.a)) % 36.56/36.70 (define @t71 () (tptp.multiply @t58 @t66)) % 36.56/36.70 (define @t72 () (tptp.multiply @t12 @t69)) % 36.56/36.70 (define @t73 () (= @t71 @t72)) % 36.56/36.70 (define @t74 () (tptp.multiply @t57 tptp.b)) % 36.56/36.70 (define @t75 () (tptp.multiply @t13 @t12)) % 36.56/36.70 (define @t76 () (= @t74 @t75)) % 36.56/36.70 (define @t77 () (tptp.multiply @t70 tptp.a)) % 36.56/36.70 (define @t78 () (tptp.multiply @t70 @t77)) % 36.56/36.70 (define @t79 () (tptp.multiply @t70 tptp.b)) % 36.56/36.70 (define @t80 () (tptp.multiply tptp.a @t79)) % 36.56/36.70 (define @t81 () (tptp.multiply @t80 tptp.a)) % 36.56/36.70 (define @t82 () (tptp.multiply @t79 tptp.a)) % 36.56/36.70 (define @t83 () (tptp.multiply @t70 @t70)) % 36.56/36.70 (define @t84 () (= @t82 @t83)) % 36.56/36.70 (define @t85 () (@list @t70 tptp.b tptp.a)) % 36.56/36.70 (define @t86 () (tptp.multiply tptp.a @t83)) % 36.56/36.70 (define @t87 () (tptp.multiply tptp.a @t86)) % 36.56/36.70 (define @t88 () (tptp.multiply tptp.a @t81)) % 36.56/36.70 (define @t89 () (tptp.multiply @t70 (tptp.multiply @t70 @t16))) % 36.56/36.70 (define @t90 () (tptp.multiply @t81 @t88)) % 36.56/36.70 (define @t91 () (tptp.multiply @t81 @t89)) % 36.56/36.70 (define @t92 () (not (= @t90 @t91))) % 36.56/36.70 (define @t93 () (or @t92 (= @t88 @t89))) % 36.56/36.70 (define @t94 () (= @t89 @t88)) % 36.56/36.70 (define @t95 () (= @t91 @t90)) % 36.56/36.70 (define @t96 () (not @t95)) % 36.56/36.70 (define @t97 () (or @t96 @t94)) % 36.56/36.70 (define @t98 () (@list @t11)) % 36.56/36.70 (define @t99 () (tptp.multiply tptp.b @t12)) % 36.56/36.70 (define @t100 () (tptp.multiply @t66 tptp.a)) % 36.56/36.70 (define @t101 () (tptp.multiply tptp.a @t100)) % 36.56/36.70 (define @t102 () (tptp.multiply tptp.a @t101)) % 36.56/36.70 (define @t103 () (tptp.multiply tptp.b @t16)) % 36.56/36.70 (define @t104 () (= @t77 @t103)) % 36.56/36.70 (define @t105 () (@list tptp.b tptp.a tptp.a)) % 36.56/36.70 (define @t106 () (tptp.multiply tptp.a @t103)) % 36.56/36.70 (define @t107 () (tptp.multiply tptp.a @t106)) % 36.56/36.70 (define @t108 () (tptp.multiply @t12 @t16)) % 36.56/36.70 (define @t109 () (tptp.multiply @t103 @t108)) % 36.56/36.70 (define @t110 () (tptp.multiply tptp.b @t103)) % 36.56/36.70 (define @t111 () (tptp.multiply @t110 @t108)) % 36.56/36.70 (define @t112 () (tptp.multiply @t58 @t58)) % 36.56/36.70 (define @t113 () (tptp.multiply @t12 @t112)) % 36.56/36.70 (define @t114 () (tptp.multiply @t12 @t99)) % 36.56/36.70 (define @t115 () (tptp.multiply @t99 @t108)) % 36.56/36.70 (define @t116 () (tptp.multiply @t12 @t108)) % 36.56/36.70 (define @t117 () (tptp.multiply tptp.b @t116)) % 36.56/36.70 (define @t118 () (= @t115 @t117)) % 36.56/36.70 (define @t119 () (tptp.multiply @t12 @t26)) % 36.56/36.70 (define @t120 () (tptp.multiply tptp.a @t117)) % 36.56/36.70 (define @t121 () (tptp.multiply tptp.a @t119)) % 36.56/36.70 (define @t122 () (not (= @t120 @t121))) % 36.56/36.70 (define @t123 () (or @t122 (= @t117 @t119))) % 36.56/36.70 (define @t124 () (= @t119 @t117)) % 36.56/36.70 (define @t125 () (= @t121 @t120)) % 36.56/36.70 (define @t126 () (not @t125)) % 36.56/36.70 (define @t127 () (or @t126 @t124)) % 36.56/36.70 (define @t128 () (@list false false)) % 36.56/36.70 (define @t129 () (tptp.multiply @t58 @t12)) % 36.56/36.70 (define @t130 () (tptp.multiply @t12 @t129)) % 36.56/36.70 (define @t131 () (tptp.multiply @t12 @t130)) % 36.56/36.70 (define @t132 () (tptp.multiply tptp.b @t113)) % 36.56/36.70 (define @t133 () (tptp.multiply @t66 @t113)) % 36.56/36.70 (define @t134 () (tptp.multiply @t12 (tptp.multiply @t12 @t113))) % 36.56/36.70 (define @t135 () (= @t133 @t134)) % 36.56/36.70 (define @t136 () (= @t131 @t132)) % 36.56/36.70 (define @t137 () (= (tptp.multiply @t58 @t131) (tptp.multiply @t58 @t132))) % 36.56/36.70 (define @t138 () (not @t137)) % 36.56/36.70 (define @t139 () (or @t138 @t136)) % 36.56/36.70 (define @t140 () (= @t113 @t111)) % 36.56/36.70 (define @t141 () (= @t132 (tptp.multiply tptp.b @t111))) % 36.56/36.70 (define @t142 () (not @t141)) % 36.56/36.70 (define @t143 () (or @t142 @t140)) % 36.56/36.70 (define @t144 () (tptp.multiply tptp.a @t70)) % 36.56/36.70 (define @t145 () (= @t58 @t144)) % 36.56/36.70 (define @t146 () (tptp.multiply @t70 @t144)) % 36.56/36.70 (define @t147 () (tptp.multiply tptp.a @t146)) % 36.56/36.70 (define @t148 () (tptp.multiply @t144 @t146)) % 36.56/36.70 (define @t149 () (tptp.multiply tptp.a (tptp.multiply @t70 @t146))) % 36.56/36.70 (define @t150 () (= @t148 @t149)) % 36.56/36.70 (define @t151 () (tptp.multiply @t144 @t70)) % 36.56/36.70 (define @t152 () (= @t151 @t86)) % 36.56/36.70 (define @t153 () (= @t78 @t69)) % 36.56/36.70 (define @t154 () (= (tptp.multiply @t78 tptp.a) (tptp.multiply @t69 tptp.a))) % 36.56/36.70 (define @t155 () (not @t154)) % 36.56/36.70 (define @t156 () (or @t155 @t153)) % 36.56/36.70 (define @t157 () (tptp.multiply @t99 @t16)) % 36.56/36.70 (define @t158 () (tptp.multiply tptp.a (tptp.multiply tptp.b @t99))) % 36.56/36.70 (define @t159 () (= @t114 @t158)) % 36.56/36.70 (define @t160 () (tptp.multiply tptp.b @t77)) % 36.56/36.70 (define @t161 () (tptp.multiply @t33 tptp.a)) % 36.56/36.70 (define @t162 () (tptp.multiply @t161 tptp.a)) % 36.56/36.70 (define @t163 () (tptp.multiply (tptp.multiply @t33 tptp.b) tptp.a)) % 36.56/36.70 (define @t164 () (tptp.multiply @t163 tptp.a)) % 36.56/36.70 (define @t165 () (tptp.multiply tptp.b @t70)) % 36.56/36.70 (define @t166 () (= @t161 @t165)) % 36.56/36.70 (define @t167 () (tptp.multiply @t33 @t103)) % 36.56/36.70 (define @t168 () (tptp.multiply @t103 @t16)) % 36.56/36.70 (define @t169 () (tptp.multiply tptp.b (tptp.multiply @t16 @t16))) % 36.56/36.70 (define @t170 () (= @t168 @t169)) % 36.56/36.70 (define @t171 () (tptp.multiply @t33 @t169)) % 36.56/36.70 (define @t172 () (tptp.multiply tptp.b (tptp.multiply tptp.b @t169))) % 36.56/36.70 (define @t173 () (= @t171 @t172)) % 36.56/36.70 (define @t174 () (tptp.multiply @t33 @t16)) % 36.56/36.70 (define @t175 () (= @t174 @t43)) % 36.56/36.70 (define @t176 () (tptp.multiply @t16 @t174)) % 36.56/36.70 (define @t177 () (tptp.multiply @t16 @t43)) % 36.56/36.70 (define @t178 () (not (= @t176 @t177))) % 36.56/36.70 (define @t179 () (or @t178 @t175)) % 36.56/36.70 (define @t180 () (= @t177 @t176)) % 36.56/36.70 (define @t181 () (not @t180)) % 36.56/36.70 (define @t182 () (or @t181 @t175)) % 36.56/36.70 (define @t183 () (tptp.multiply tptp.a @t162)) % 36.56/36.70 (define @t184 () (tptp.multiply tptp.a @t161)) % 36.56/36.70 (define @t185 () (tptp.multiply @t16 @t161)) % 36.56/36.70 (define @t186 () (tptp.multiply tptp.a @t184)) % 36.56/36.70 (define @t187 () (= @t185 @t186)) % 36.56/36.70 (define @t188 () (tptp.multiply tptp.a @t37)) % 36.56/36.70 (define @t189 () (= @t129 @t26)) % 36.56/36.70 (define @t190 () (tptp.multiply @t129 tptp.a)) % 36.56/36.70 (define @t191 () (= @t190 @t112)) % 36.56/36.70 (define @t192 () (tptp.multiply @t174 tptp.a)) % 36.56/36.70 (define @t193 () (= @t192 (tptp.multiply @t33 @t30))) % 36.56/36.70 (define @t194 () (tptp.multiply @t13 tptp.b)) % 36.56/36.70 (define @t195 () (= @t194 @t188)) % 36.56/36.70 (define @t196 () (and @t23 @t29 @t32 @t36 @t193 @t41 @t46 @t195 @t49 @t175)) % 36.56/36.70 (assume @p1 @t4) % 36.56/36.70 (assume @p2 @t10) % 36.56/36.70 (assume @p3 @t11) % 36.56/36.70 (assume @p4 (forall (@list @t3 @t2) (= (tptp.multiply @t3 (tptp.multiply @t3 (tptp.multiply @t3 (tptp.multiply @t2 @t2)))) (tptp.multiply @t2 (tptp.multiply @t3 (tptp.multiply @t3 (tptp.multiply @t2 @t3))))))) % 36.56/36.70 (assume @p5 (not @t19)) % 36.56/36.70 (step @p6 :rule eq-symm :args (@t20 @t13)) % 36.56/36.70 (step @p7 :rule refl :args (@t4)) % 36.56/36.70 (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t4 @t21))) % 36.56/36.70 (assume-push @p561 @t4) % 36.56/36.70 (step @p10 :rule instantiate :premises (@p1) :args (@t22)) % 36.56/36.70 (step-pop @p562 :rule scope :premises (@p10)) % 36.56/36.70 (step @p11 :rule process_scope :premises (@p562) :args (@t21)) % 36.56/36.70 (step @p13 :rule eq_resolve :premises (@p11 @p8)) % 36.56/36.70 (step @p14 :rule implies_elim :premises (@p13)) % 36.56/36.70 (step @p15 :rule chain_m_resolution :premises (@p14 @p1) :args (@t23 @t24 @t25)) % 36.56/36.70 (step @p16 :rule eq-symm :args (@t26 @t15)) % 36.56/36.70 (step @p17 :rule cong :premises (@p7 @p16) :args ((=> @t4 @t27))) % 36.56/36.70 (assume-push @p563 @t4) % 36.56/36.70 (step @p19 :rule instantiate :premises (@p1) :args (@t28)) % 36.56/36.70 (step-pop @p564 :rule scope :premises (@p19)) % 36.56/36.70 (step @p20 :rule process_scope :premises (@p564) :args (@t27)) % 36.56/36.70 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 36.56/36.70 (step @p23 :rule implies_elim :premises (@p22)) % 36.56/36.70 (step @p24 :rule chain_m_resolution :premises (@p23 @p1) :args (@t29 @t24 @t25)) % 36.56/36.70 (step @p25 :rule eq-symm :args (@t30 @t17)) % 36.56/36.70 (step @p26 :rule cong :premises (@p7 @p25) :args ((=> @t4 @t31))) % 36.56/36.70 (assume-push @p565 @t4) % 36.56/36.70 (step @p28 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a tptp.a))) % 36.56/36.70 (step-pop @p566 :rule scope :premises (@p28)) % 36.56/36.70 (step @p29 :rule process_scope :premises (@p566) :args (@t31)) % 36.56/36.70 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 36.56/36.70 (step @p32 :rule implies_elim :premises (@p31)) % 36.56/36.70 (step @p33 :rule chain_m_resolution :premises (@p32 @p1) :args (@t32 @t24 @t25)) % 36.56/36.70 (step @p34 :rule eq-symm :args (@t34 @t18)) % 36.56/36.70 (step @p35 :rule cong :premises (@p7 @p34) :args ((=> @t4 @t35))) % 36.56/36.70 (assume-push @p567 @t4) % 36.56/36.70 (step @p37 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b @t17))) % 36.56/36.70 (step-pop @p568 :rule scope :premises (@p37)) % 36.56/36.70 (step @p38 :rule process_scope :premises (@p568) :args (@t35)) % 36.56/36.70 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 36.56/36.70 (step @p41 :rule implies_elim :premises (@p40)) % 36.56/36.70 (step @p42 :rule chain_m_resolution :premises (@p41 @p1) :args (@t36 @t24 @t25)) % 36.56/36.70 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t33 @t16 tptp.a))) % 36.56/36.70 (step @p44 :rule eq-symm :args (@t37 @t38)) % 36.56/36.70 (step @p45 :rule cong :premises (@p7 @p44) :args ((=> @t4 @t39))) % 36.56/36.70 (assume-push @p569 @t4) % 36.56/36.70 (step @p47 :rule instantiate :premises (@p1) :args (@t40)) % 36.56/36.70 (step-pop @p570 :rule scope :premises (@p47)) % 36.56/36.70 (step @p48 :rule process_scope :premises (@p570) :args (@t39)) % 36.56/36.70 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 36.56/36.70 (step @p51 :rule implies_elim :premises (@p50)) % 36.56/36.70 (step @p52 :rule 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@p79 @p77)) % 36.56/36.70 (step @p441 :rule cnf_or_pos :args (@t56)) % 36.56/36.70 (step @p442 :rule reordering :premises (@p441) :args ((or @t49 @t55 (not @t56)))) % 36.56/36.70 (step @p443 :rule chain_m_resolution :premises (@p442 @p440 @p75) :args (@t49 @t128 (@list @t54 @t56))) % 36.56/36.70 (step @p444 :rule refl :args (@t175)) % 36.56/36.70 (step @p445 :rule eq-symm :args (@t176 @t177)) % 36.56/36.70 (step @p446 :rule cong :premises (@p445) :args (@t178)) % 36.56/36.70 (step @p447 :rule nary_cong :premises (@p446 @p444) :args (@t179)) % 36.56/36.70 (step @p448 :rule cong :premises (@p175 @p447) :args ((=> @t11 @t179))) % 36.56/36.70 (assume-push @p611 @t11) % 36.56/36.70 (step @p450 :rule instantiate :premises (@p3) :args ((@list @t16 @t174 @t43))) % 36.56/36.70 (step-pop @p612 :rule scope :premises (@p450)) % 36.56/36.70 (step @p451 :rule process_scope :premises (@p612) :args (@t179)) % 36.56/36.70 (step @p453 :rule eq_resolve :premises (@p451 @p448)) % 36.56/36.70 (step @p454 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36.56/36.70 (step @p467 :rule symm :premises (@p377)) % 36.56/36.70 (step @p468 :rule cong :premises (@p112 @p467) :args ((tptp.multiply tptp.a @t110))) % 36.56/36.70 (step @p469 :rule cong :premises (@p112 @p381) :args (@t183)) % 36.56/36.70 (step @p470 :rule trans :premises (@p469 @p468 @p466)) % 36.56/36.70 (step @p471 :rule cong :premises (@p112 @p470) :args ((tptp.multiply tptp.a @t183))) % 36.56/36.70 (step @p472 :rule instantiate :premises (@p1) :args ((@list tptp.a @t161 tptp.a))) % 36.56/36.70 (step @p473 :rule cong :premises (@p112 @p472) :args ((tptp.multiply tptp.a (tptp.multiply @t184 tptp.a)))) % 36.56/36.70 (step @p474 :rule instantiate :premises (@p1) :args ((@list tptp.a @t184 tptp.a))) % 36.56/36.70 (step @p475 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a @t161))) % 36.56/36.70 (step @p476 :rule eq-symm :args (@t185 @t186)) % 36.56/36.70 (step @p477 :rule cong :premises (@p7 @p476) :args ((=> @t4 @t187))) % 36.56/36.70 (assume-push @p613 @t4) % 36.56/36.70 (step-pop @p614 :rule scope :premises (@p475)) % 36.56/36.70 (step @p479 :rule process_scope :premises (@p614) :args (@t187)) % 36.56/36.70 (step @p481 :rule eq_resolve :premises (@p479 @p477)) % 36.56/36.70 (step @p482 :rule implies_elim :premises (@p481)) % 36.56/36.70 (step @p483 :rule chain_m_resolution :premises (@p482 @p1) :args ((= @t186 @t185) @t24 @t25)) % 36.56/36.70 (step @p484 :rule instantiate :premises (@p1) :args ((@list tptp.a @t33 tptp.a))) % 36.56/36.70 (step @p485 :rule cong :premises (@p112 @p484) :args ((tptp.multiply tptp.a (tptp.multiply @t38 tptp.a)))) % 36.56/36.70 (step @p486 :rule instantiate :premises (@p1) :args ((@list tptp.a @t38 tptp.a))) % 36.56/36.70 (step @p56 :rule instantiate :premises (@p1) :args (@t45)) % 36.56/36.70 (step @p47 :rule instantiate :premises (@p1) :args (@t40)) % 36.56/36.70 (step @p487 :rule cong :premises (@p112 @p47) :args (@t188)) % 36.56/36.70 (step @p10 :rule instantiate :premises (@p1) :args (@t22)) % 36.56/36.70 (step @p488 :rule cong :premises (@p10 @p83) :args (@t47)) % 36.56/36.70 (step @p489 :rule trans :premises (@p488 @p62 @p487 @p61)) % 36.56/36.70 (step @p490 :rule trans :premises (@p489 @p56)) % 36.56/36.70 (step @p491 :rule cong :premises (@p490 @p112) :args (@t48)) % 36.56/36.70 (step @p492 :rule trans :premises (@p491 @p486 @p485 @p483)) % 36.56/36.70 (step @p493 :rule trans :premises (@p264 @p443)) % 36.56/36.70 (step @p494 :rule eq-symm :args (@t129 @t26)) % 36.56/36.70 (step @p495 :rule cong :premises (@p7 @p494) :args ((=> @t4 @t189))) % 36.56/36.70 (assume-push @p615 @t4) % 36.56/36.70 (step-pop @p616 :rule scope :premises (@p264)) % 36.56/36.70 (step @p497 :rule process_scope :premises (@p616) :args (@t189)) % 36.56/36.70 (step @p499 :rule eq_resolve :premises (@p497 @p495)) % 36.56/36.70 (step @p500 :rule implies_elim :premises (@p499)) % 36.56/36.70 (step @p501 :rule chain_m_resolution :premises (@p500 @p1) :args ((= @t26 @t129) @t24 @t25)) % 36.56/36.70 (step @p502 :rule trans :premises (@p501 @p493 @p492 @p475)) % 36.56/36.70 (step @p503 :rule cong :premises (@p502 @p112) :args ((tptp.multiply @t26 tptp.a))) % 36.56/36.70 (step @p504 :rule cong :premises (@p264 @p112) :args (@t190)) % 36.56/36.70 (step @p505 :rule eq-symm :args (@t190 @t112)) % 36.56/36.70 (step @p506 :rule cong :premises (@p7 @p505) :args ((=> @t4 @t191))) % 36.56/36.70 (assume-push @p617 @t4) % 36.56/36.70 (step @p508 :rule instantiate :premises (@p1) :args ((@list @t58 @t12 tptp.a))) % 36.56/36.70 (step-pop @p618 :rule scope :premises (@p508)) % 36.56/36.70 (step @p509 :rule process_scope :premises (@p618) :args (@t191)) % 36.56/36.70 (step @p511 :rule eq_resolve :premises (@p509 @p506)) % 36.56/36.70 (step @p512 :rule implies_elim :premises (@p511)) % 36.56/36.70 (step @p513 :rule chain_m_resolution :premises (@p512 @p1) :args ((= @t112 @t190) @t24 @t25)) % 36.56/36.70 (step @p514 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.a @t144))) % 36.56/36.70 (step @p515 :rule symm :premises (@p514)) % 36.56/36.70 (step @p516 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.b))) % 36.56/36.70 (step @p517 :rule trans :premises (@p516 @p515)) % 36.56/36.70 (step @p518 :rule cong :premises (@p112 @p517) :args ((tptp.multiply tptp.a (tptp.multiply tptp.a @t43)))) % 36.56/36.70 (step @p519 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a @t43))) % 36.56/36.70 (step @p520 :rule trans :premises (@p519 @p518 @p305 @p303 @p301 @p513 @p504 @p503 @p474 @p473 @p471 @p464 @p462 @p460 @p459)) % 36.56/36.70 (step @p521 :rule cnf_or_pos :args (@t182)) % 36.56/36.70 (step @p522 :rule reordering :premises (@p521) :args ((or @t175 @t181 (not @t182)))) % 36.56/36.70 (step @p523 :rule chain_m_resolution :premises (@p522 @p520 @p455) :args (@t175 @t128 (@list @t180 @t182))) % 36.56/36.70 (assume-push @p619 @t23) % 36.56/36.70 (assume-push @p620 @t29) % 36.56/36.70 (assume-push @p621 @t32) % 36.56/36.70 (assume-push @p622 @t36) % 36.56/36.70 (assume-push @p623 @t193) % 36.56/36.70 (assume-push @p624 @t41) % 36.56/36.70 (assume-push @p625 @t46) % 36.56/36.70 (assume-push @p626 @t195) % 36.56/36.70 (assume-push @p627 @t49) % 36.56/36.70 (assume-push @p628 @t175) % 36.56/36.70 (step @p19 :rule instantiate :premises (@p1) :args (@t28)) % 36.56/36.70 (step @p534 :rule symm :premises (@p443)) % 36.56/36.70 (step @p535 :rule cong :premises (@p15 @p83) :args (@t194)) % 36.56/36.70 (step @p536 :rule symm :premises (@p62)) % 36.56/36.70 (step @p537 :rule cong :premises (@p112 @p52) :args (@t43)) % 36.56/36.70 (step @p538 :rule trans :premises (@p56 @p537 @p536 @p535)) % 36.56/36.70 (step @p539 :rule trans :premises (@p61 @p538)) % 36.56/36.70 (step @p540 :rule cong :premises (@p539 @p112) :args ((tptp.multiply @t43 tptp.a))) % 36.56/36.70 (step @p541 :rule cong :premises (@p523 @p112) :args (@t192)) % 36.56/36.70 (step @p542 :rule symm :premises (@p43)) % 36.56/36.70 (step @p543 :rule cong :premises (@p406 @p33) :args (@t34)) % 36.56/36.70 (step @p544 :rule trans :premises (@p42 @p543 @p542 @p541 @p540 @p534 @p19)) % 36.56/36.70 (step-pop @p629 :rule scope :premises (@p544)) % 36.56/36.70 (step-pop @p630 :rule scope :premises (@p629)) % 36.56/36.70 (step-pop @p631 :rule scope :premises (@p630)) % 36.56/36.70 (step-pop @p632 :rule scope :premises (@p631)) % 36.56/36.70 (step-pop @p633 :rule scope :premises (@p632)) % 36.56/36.70 (step-pop @p634 :rule scope :premises (@p633)) % 36.56/36.70 (step-pop @p635 :rule scope :premises (@p634)) % 36.56/36.70 (step-pop @p636 :rule scope :premises (@p635)) % 36.56/36.70 (step-pop @p637 :rule scope :premises (@p636)) % 36.56/36.70 (step-pop @p638 :rule scope :premises (@p637)) % 36.56/36.70 (step @p545 :rule process_scope :premises (@p638) :args (@t19)) % 36.56/36.70 (step @p556 :rule implies_elim :premises (@p545)) % 36.56/36.70 (step @p557 :rule cnf_and_neg :args (@t196)) % 36.56/36.70 (step @p558 :rule resolution :premises (@p557 @p556) :args (true @t196)) % 36.56/36.70 (step @p559 :rule reordering :premises (@p558) :args ((or @t19 (not @t23) (not @t29) (not @t32) (not @t36) (not @t193) (not @t41) (not @t46) (not @t195) (not @t49) (not @t175)))) % 36.56/36.70 (step @p560 false :rule chain_m_resolution :premises (@p559 @p523 @p443 @p62 @p61 @p52 @p43 @p42 @p33 @p24 @p15 @p5) :args (false (@list false false false false false false false false false false true) (@list @t175 @t49 @t195 @t46 @t41 @t193 @t36 @t32 @t29 @t23 @t19))) % 36.56/36.70 ) % 36.56/36.70 % SZS output end Proof % 36.56/36.70 % cvc5 exiting %------------------------------------------------------------------------------