%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP766-1 : 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 : n020.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 08:21:28 AM UTC 2026 % Result : Unsatisfiable 50.95s 51.17s % Output : Proof 50.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP766-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 02:02:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/15.93 --- Run --no-e-matching --full-saturate-quant at 6... % 21.71/21.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.71/27.98 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.84/34.11 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 50.95/51.17 % SZS status Unsatisfiable % 50.95/51.17 % SZS output start Proof % 50.95/51.17 ( % 50.95/51.17 (declare-sort $$unsorted 0) % 50.95/51.17 (declare-const tptp.x0 $$unsorted) % 50.95/51.17 (declare-const tptp.x2 $$unsorted) % 50.95/51.17 (declare-const tptp.t (-> $$unsorted $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.l (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.eta (-> $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.x1 $$unsorted) % 50.95/51.17 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 50.95/51.17 (declare-const tptp.one $$unsorted) % 50.95/51.17 (define @t1 () (@var "A" $$unsorted)) % 50.95/51.17 (define @t2 () (tptp.product @t1 tptp.one)) % 50.95/51.17 (define @t3 () (@list @t1)) % 50.95/51.17 (define @t4 () (forall @t3 (= @t2 @t1))) % 50.95/51.17 (define @t5 () (@var "B" $$unsorted)) % 50.95/51.17 (define @t6 () (tptp.product @t1 (tptp.difference @t1 @t5))) % 50.95/51.17 (define @t7 () (@list @t1 @t5)) % 50.95/51.17 (define @t8 () (forall @t7 (= @t6 @t5))) % 50.95/51.17 (define @t9 () (tptp.product @t1 @t5)) % 50.95/51.17 (define @t10 () (tptp.difference @t1 @t9)) % 50.95/51.17 (define @t11 () (forall @t7 (= @t10 @t5))) % 50.95/51.17 (define @t12 () (tptp.quotient @t9 @t5)) % 50.95/51.17 (define @t13 () (forall @t7 (= @t12 @t1))) % 50.95/51.17 (define @t14 () (tptp.product (tptp.quotient @t1 @t5) @t5)) % 50.95/51.17 (define @t15 () (forall @t7 (= @t14 @t1))) % 50.95/51.17 (define @t16 () (@var "C" $$unsorted)) % 50.95/51.17 (define @t17 () (@list @t1 @t5 @t16)) % 50.95/51.17 (define @t18 () (tptp.product @t5 @t16)) % 50.95/51.17 (define @t19 () (tptp.difference @t9 (tptp.product @t1 @t18))) % 50.95/51.17 (define @t20 () (tptp.i @t1)) % 50.95/51.17 (define @t21 () (tptp.j @t1)) % 50.95/51.17 (define @t22 () (tptp.product @t20 @t1)) % 50.95/51.17 (define @t23 () (tptp.eta @t1)) % 50.95/51.17 (define @t24 () (forall @t3 (= @t23 @t22))) % 50.95/51.17 (define @t25 () (tptp.eta tptp.x0)) % 50.95/51.17 (define @t26 () (tptp.product @t25 tptp.x1)) % 50.95/51.17 (define @t27 () (tptp.product @t26 tptp.x2)) % 50.95/51.17 (define @t28 () (tptp.product tptp.x1 tptp.x2)) % 50.95/51.17 (define @t29 () (tptp.product @t25 @t28)) % 50.95/51.17 (define @t30 () (= @t29 @t27)) % 50.95/51.17 (define @t31 () (tptp.product (tptp.i tptp.x0) tptp.x0)) % 50.95/51.17 (define @t32 () (forall @t3 (= @t22 @t23))) % 50.95/51.17 (define @t33 () (= @t31 @t25)) % 50.95/51.17 (define @t34 () (@list tptp.x0)) % 50.95/51.17 (define @t35 () (= @t25 @t31)) % 50.95/51.17 (define @t36 () (tptp.product tptp.x2 @t25)) % 50.95/51.17 (define @t37 () (tptp.product tptp.x1 @t36)) % 50.95/51.17 (define @t38 () (tptp.quotient @t26 @t25)) % 50.95/51.17 (define @t39 () (tptp.difference @t26 @t29)) % 50.95/51.17 (define @t40 () (tptp.t @t25 tptp.x2)) % 50.95/51.17 (define @t41 () (tptp.t @t25 tptp.x1)) % 50.95/51.17 (define @t42 () (@list @t25 tptp.x2)) % 50.95/51.17 (define @t43 () (tptp.difference @t25 @t27)) % 50.95/51.17 (define @t44 () (tptp.product @t38 @t25)) % 50.95/51.17 (define @t45 () (tptp.product @t44 @t39)) % 50.95/51.17 (define @t46 () (tptp.product tptp.x2 @t44)) % 50.95/51.17 (define @t47 () (tptp.product tptp.x2 @t38)) % 50.95/51.17 (define @t48 () (tptp.product @t25 @t43)) % 50.95/51.17 (define @t49 () (tptp.product @t25 @t47)) % 50.95/51.17 (define @t50 () (tptp.product @t25 (tptp.product @t39 @t38))) % 50.95/51.17 (define @t51 () (tptp.product @t25 @t41)) % 50.95/51.17 (define @t52 () (tptp.product @t40 @t51)) % 50.95/51.17 (define @t53 () (tptp.product @t25 tptp.x2)) % 50.95/51.17 (define @t54 () (@list @t31 @t25)) % 50.95/51.17 (define @t55 () (tptp.quotient @t37 @t25)) % 50.95/51.17 (define @t56 () (tptp.j tptp.x0)) % 50.95/51.17 (define @t57 () (tptp.product @t56 tptp.x0)) % 50.95/51.17 (define @t58 () (tptp.difference @t38 @t45)) % 50.95/51.17 (define @t59 () (tptp.product @t53 @t38)) % 50.95/51.17 (define @t60 () (tptp.product @t57 @t59)) % 50.95/51.17 (define @t61 () (tptp.product @t57 (tptp.product @t58 @t38))) % 50.95/51.17 (define @t62 () (tptp.difference @t47 @t46)) % 50.95/51.17 (define @t63 () (= @t43 @t55)) % 50.95/51.17 (define @t64 () (= @t41 @t38)) % 50.95/51.17 (define @t65 () (tptp.quotient @t29 @t25)) % 50.95/51.17 (define @t66 () (tptp.t @t25 @t28)) % 50.95/51.17 (define @t67 () (= @t66 @t65)) % 50.95/51.17 (define @t68 () (= @t27 @t48)) % 50.95/51.17 (define @t69 () (= @t29 (tptp.product @t26 @t39))) % 50.95/51.17 (define @t70 () (tptp.product @t65 @t25)) % 50.95/51.17 (define @t71 () (= @t29 @t70)) % 50.95/51.17 (define @t72 () (= @t26 @t44)) % 50.95/51.17 (define @t73 () (tptp.product @t55 @t25)) % 50.95/51.17 (define @t74 () (= @t37 @t73)) % 50.95/51.17 (define @t75 () (tptp.quotient tptp.one tptp.x0)) % 50.95/51.17 (define @t76 () (= @t56 @t75)) % 50.95/51.17 (define @t77 () (tptp.product @t41 @t40)) % 50.95/51.17 (define @t78 () (= @t66 @t77)) % 50.95/51.17 (define @t79 () (= tptp.one (tptp.product @t75 tptp.x0))) % 50.95/51.17 (define @t80 () (tptp.quotient @t49 @t38)) % 50.95/51.17 (define @t81 () (tptp.product @t44 tptp.x2)) % 50.95/51.17 (define @t82 () (tptp.difference @t38 @t81)) % 50.95/51.17 (define @t83 () (= @t82 @t80)) % 50.95/51.17 (define @t84 () (tptp.quotient @t50 @t38)) % 50.95/51.17 (define @t85 () (= @t58 @t84)) % 50.95/51.17 (define @t86 () (tptp.quotient @t52 @t41)) % 50.95/51.17 (define @t87 () (= (tptp.difference @t41 (tptp.product @t77 @t25)) @t86)) % 50.95/51.17 (define @t88 () (tptp.quotient @t80 tptp.x2)) % 50.95/51.17 (define @t89 () (= @t62 @t88)) % 50.95/51.17 (define @t90 () (tptp.quotient @t53 @t25)) % 50.95/51.17 (define @t91 () (= @t40 @t90)) % 50.95/51.17 (define @t92 () (tptp.quotient @t48 @t25)) % 50.95/51.17 (define @t93 () (= (tptp.t @t25 @t43) @t92)) % 50.95/51.17 (define @t94 () (tptp.product @t38 @t58)) % 50.95/51.17 (define @t95 () (= @t45 @t94)) % 50.95/51.17 (define @t96 () (tptp.product @t47 @t62)) % 50.95/51.17 (define @t97 () (= @t46 @t96)) % 50.95/51.17 (define @t98 () (= @t48 (tptp.product @t92 @t25))) % 50.95/51.17 (define @t99 () (tptp.product @t80 @t38)) % 50.95/51.17 (define @t100 () (= @t49 @t99)) % 50.95/51.17 (define @t101 () (tptp.product @t84 @t38)) % 50.95/51.17 (define @t102 () (= @t50 @t101)) % 50.95/51.17 (define @t103 () (tptp.product @t86 @t41)) % 50.95/51.17 (define @t104 () (= @t52 @t103)) % 50.95/51.17 (define @t105 () (tptp.product @t90 @t25)) % 50.95/51.17 (define @t106 () (= @t53 @t105)) % 50.95/51.17 (define @t107 () (= @t25 (tptp.quotient @t53 tptp.x2))) % 50.95/51.17 (define @t108 () (tptp.product @t31 @t25)) % 50.95/51.17 (define @t109 () (= @t31 (tptp.quotient @t108 @t25))) % 50.95/51.17 (define @t110 () (tptp.product @t38 @t53)) % 50.95/51.17 (define @t111 () (= @t53 (tptp.difference @t38 @t110))) % 50.95/51.17 (define @t112 () (tptp.quotient @t108 @t31)) % 50.95/51.17 (define @t113 () (= (tptp.t @t31 @t25) @t112)) % 50.95/51.17 (define @t114 () (tptp.quotient @t49 @t25)) % 50.95/51.17 (define @t115 () (tptp.t @t25 @t47)) % 50.95/51.17 (define @t116 () (= @t115 @t114)) % 50.95/51.17 (define @t117 () (= @t38 (tptp.product @t38 tptp.one))) % 50.95/51.17 (define @t118 () (tptp.t @t25 @t25)) % 50.95/51.17 (define @t119 () (tptp.t @t25 @t26)) % 50.95/51.17 (define @t120 () (= @t119 (tptp.product @t118 @t41))) % 50.95/51.17 (define @t121 () (tptp.t @t25 @t55)) % 50.95/51.17 (define @t122 () (tptp.product @t121 @t118)) % 50.95/51.17 (define @t123 () (= (tptp.t @t25 @t73) @t122)) % 50.95/51.17 (define @t124 () (tptp.t @t25 @t36)) % 50.95/51.17 (define @t125 () (= @t124 (tptp.product @t40 @t118))) % 50.95/51.17 (define @t126 () (tptp.t @t25 @t37)) % 50.95/51.17 (define @t127 () (= @t126 (tptp.product @t41 @t124))) % 50.95/51.17 (define @t128 () (= @t49 (tptp.product @t114 @t25))) % 50.95/51.17 (define @t129 () (tptp.quotient @t60 @t38)) % 50.95/51.17 (define @t130 () (tptp.product @t38 @t57)) % 50.95/51.17 (define @t131 () (tptp.product @t130 @t53)) % 50.95/51.17 (define @t132 () (tptp.difference @t38 @t131)) % 50.95/51.17 (define @t133 () (= @t132 @t129)) % 50.95/51.17 (define @t134 () (tptp.quotient @t61 @t38)) % 50.95/51.17 (define @t135 () (tptp.product @t130 @t58)) % 50.95/51.17 (define @t136 () (tptp.difference @t38 @t135)) % 50.95/51.17 (define @t137 () (= @t136 @t134)) % 50.95/51.17 (define @t138 () (tptp.product tptp.x2 @t26)) % 50.95/51.17 (define @t139 () (tptp.t @t25 @t138)) % 50.95/51.17 (define @t140 () (= @t139 (tptp.product @t40 @t119))) % 50.95/51.17 (define @t141 () (= @t60 (tptp.product @t129 @t38))) % 50.95/51.17 (define @t142 () (tptp.product @t134 @t38)) % 50.95/51.17 (define @t143 () (= @t61 @t142)) % 50.95/51.17 (define @t144 () (tptp.t @t25 @t62)) % 50.95/51.17 (define @t145 () (tptp.product @t115 @t144)) % 50.95/51.17 (define @t146 () (= (tptp.t @t25 @t96) @t145)) % 50.95/51.17 (define @t147 () (and @t63 @t35 @t64 @t67 @t68 @t69 @t71 @t72 @t74 @t76 @t78 @t79 @t83 @t85 @t87 @t89 @t91 @t93 @t95 @t97 @t98 @t100 @t102 @t104 @t106 @t107 @t109 @t111 @t113 @t116 @t117 @t120 @t123 @t125 @t127 @t128 @t133 @t137 @t140 @t141 @t143 @t146)) % 50.95/51.17 (assume @p1 @t4) % 50.95/51.17 (assume @p2 (forall @t3 (= (tptp.product tptp.one @t1) @t1))) % 50.95/51.17 (assume @p3 @t8) % 50.95/51.17 (assume @p4 @t11) % 50.95/51.17 (assume @p5 @t13) % 50.95/51.17 (assume @p6 @t15) % 50.95/51.17 (assume @p7 (forall @t17 (= (tptp.difference @t1 (tptp.product @t9 @t16)) (tptp.quotient (tptp.product @t5 (tptp.product @t16 @t1)) @t1)))) % 50.95/51.17 (assume @p8 (forall @t17 (= @t19 (tptp.quotient (tptp.quotient (tptp.product @t16 @t9) @t5) @t1)))) % 50.95/51.17 (assume @p9 (forall @t3 (= @t20 (tptp.difference @t1 tptp.one)))) % 50.95/51.17 (assume @p10 (forall @t3 (= @t21 (tptp.quotient tptp.one @t1)))) % 50.95/51.17 (assume @p11 (forall @t3 (= @t22 (tptp.product @t1 @t21)))) % 50.95/51.17 (assume @p12 @t24) % 50.95/51.17 (assume @p13 (forall @t17 (= (tptp.l @t1 @t5 @t16) @t19))) % 50.95/51.17 (assume @p14 (forall @t17 (= (tptp.l @t1 @t1 @t18) (tptp.product (tptp.l @t1 @t1 @t5) (tptp.l @t1 @t1 @t16))))) % 50.95/51.17 (assume @p15 (forall @t7 (= (tptp.product (tptp.i @t20) @t5) (tptp.product @t23 @t9)))) % 50.95/51.17 (assume @p16 (forall @t7 (= (tptp.product @t1 (tptp.product @t23 @t5)) (tptp.product (tptp.j @t21) @t5)))) % 50.95/51.17 (assume @p17 (forall @t7 (= (tptp.product @t1 (tptp.product @t5 @t23)) (tptp.product @t9 @t23)))) % 50.95/51.17 (assume @p18 (forall @t7 (= (tptp.t @t1 @t5) (tptp.quotient @t9 @t1)))) % 50.95/51.17 (assume @p19 (forall @t17 (= (tptp.t @t23 @t18) (tptp.product (tptp.t @t23 @t5) (tptp.t @t23 @t16))))) % 50.95/51.17 (assume @p20 (not @t30)) % 50.95/51.17 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t25 tptp.x1 tptp.x2))) % 50.95/51.17 (step @p22 :rule eq-symm :args (@t23 @t22)) % 50.95/51.17 (step @p23 :rule cong :premises (@p22) :args (@t24)) % 50.95/51.17 (step @p24 :rule eq_resolve :premises (@p12 @p23)) % 50.95/51.17 (step @p25 :rule eq-symm :args (@t31 @t25)) % 50.95/51.17 (step @p26 :rule refl :args (@t32)) % 50.95/51.17 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t32 @t33))) % 50.95/51.17 (assume-push @p293 @t32) % 50.95/51.17 (step @p29 :rule instantiate :premises (@p24) :args (@t34)) % 50.95/51.17 (step-pop @p294 :rule scope :premises (@p29)) % 50.95/51.17 (step @p30 :rule process_scope :premises (@p294) :args (@t33)) % 50.95/51.17 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 50.95/51.17 (step @p33 :rule implies_elim :premises (@p32)) % 50.95/51.17 (step @p34 :rule chain_m_resolution :premises (@p33 @p24) :args (@t35 (@list false) (@list @t32))) % 50.95/51.17 (step @p35 :rule instantiate :premises (@p18) :args ((@list @t25 tptp.x1))) % 50.95/51.17 (step @p36 :rule instantiate :premises (@p18) :args ((@list @t25 @t28))) % 50.95/51.17 (step @p37 :rule eq-symm :args (@t6 @t5)) % 50.95/51.17 (step @p38 :rule cong :premises (@p37) :args (@t8)) % 50.95/51.17 (step @p39 :rule eq_resolve :premises (@p3 @p38)) % 50.95/51.17 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t25 @t27))) % 50.95/51.17 (step @p41 :rule instantiate :premises (@p39) :args ((@list @t26 @t29))) % 50.95/51.17 (step @p42 :rule eq-symm :args (@t14 @t1)) % 50.95/51.17 (step @p43 :rule cong :premises (@p42) :args (@t15)) % 50.95/51.17 (step @p44 :rule eq_resolve :premises (@p6 @p43)) % 50.95/51.17 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t29 @t25))) % 50.95/51.17 (step @p46 :rule instantiate :premises (@p44) :args ((@list @t26 @t25))) % 50.95/51.17 (step @p47 :rule instantiate :premises (@p44) :args ((@list @t37 @t25))) % 50.95/51.17 (step @p48 :rule instantiate :premises (@p10) :args (@t34)) % 50.95/51.17 (step @p49 :rule instantiate :premises (@p19) :args ((@list tptp.x0 tptp.x1 tptp.x2))) % 50.95/51.17 (step @p50 :rule instantiate :premises (@p44) :args ((@list tptp.one tptp.x0))) % 50.95/51.17 (step @p51 :rule instantiate :premises (@p7) :args ((@list @t38 @t25 tptp.x2))) % 50.95/51.17 (step @p52 :rule instantiate :premises (@p7) :args ((@list @t38 @t25 @t39))) % 50.95/51.17 (step @p53 :rule instantiate :premises (@p7) :args ((@list @t41 @t40 @t25))) % 50.95/51.17 (step @p54 :rule instantiate :premises (@p8) :args ((@list tptp.x2 @t38 @t25))) % 50.95/51.17 (step @p55 :rule instantiate :premises (@p18) :args (@t42)) % 50.95/51.17 (step @p56 :rule instantiate :premises (@p18) :args ((@list @t25 @t43))) % 50.95/51.17 (step @p57 :rule instantiate :premises (@p39) :args ((@list @t38 @t45))) % 50.95/51.17 (step @p58 :rule instantiate :premises (@p39) :args ((@list @t47 @t46))) % 50.95/51.17 (step @p59 :rule instantiate :premises (@p44) :args ((@list @t48 @t25))) % 50.95/51.17 (step @p60 :rule instantiate :premises (@p44) :args ((@list @t49 @t38))) % 50.95/51.17 (step @p61 :rule instantiate :premises (@p44) :args ((@list @t50 @t38))) % 50.95/51.17 (step @p62 :rule instantiate :premises (@p44) :args ((@list @t52 @t41))) % 50.95/51.17 (step @p63 :rule instantiate :premises (@p44) :args ((@list @t53 @t25))) % 50.95/51.17 (step @p64 :rule eq-symm :args (@t12 @t1)) % 50.95/51.17 (step @p65 :rule cong :premises (@p64) :args (@t13)) % 50.95/51.17 (step @p66 :rule eq_resolve :premises (@p5 @p65)) % 50.95/51.17 (step @p67 :rule instantiate :premises (@p66) :args (@t42)) % 50.95/51.17 (step @p68 :rule instantiate :premises (@p66) :args (@t54)) % 50.95/51.17 (step @p69 :rule eq-symm :args (@t10 @t5)) % 50.95/51.17 (step @p70 :rule cong :premises (@p69) :args (@t11)) % 50.95/51.17 (step @p71 :rule eq_resolve :premises (@p4 @p70)) % 50.95/51.17 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t38 @t53))) % 50.95/51.17 (step @p73 :rule instantiate :premises (@p18) :args (@t54)) % 50.95/51.17 (step @p74 :rule instantiate :premises (@p18) :args ((@list @t25 @t47))) % 50.95/51.17 (step @p75 :rule eq-symm :args (@t2 @t1)) % 50.95/51.17 (step @p76 :rule cong :premises (@p75) :args (@t4)) % 50.95/51.17 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 50.95/51.17 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t38))) % 50.95/51.17 (step @p79 :rule instantiate :premises (@p19) :args ((@list tptp.x0 @t25 tptp.x1))) % 50.95/51.17 (step @p80 :rule instantiate :premises (@p19) :args ((@list tptp.x0 @t55 @t25))) % 50.95/51.17 (step @p81 :rule instantiate :premises (@p19) :args ((@list tptp.x0 tptp.x2 @t25))) % 50.95/51.17 (step @p82 :rule instantiate :premises (@p19) :args ((@list tptp.x0 tptp.x1 @t36))) % 50.95/51.17 (step @p83 :rule instantiate :premises (@p44) :args ((@list @t49 @t25))) % 50.95/51.17 (step @p84 :rule instantiate :premises (@p7) :args ((@list @t38 @t57 @t53))) % 50.95/51.17 (step @p85 :rule instantiate :premises (@p7) :args ((@list @t38 @t57 @t58))) % 50.95/51.17 (step @p86 :rule instantiate :premises (@p19) :args ((@list tptp.x0 tptp.x2 @t26))) % 50.95/51.17 (step @p87 :rule instantiate :premises (@p44) :args ((@list @t60 @t38))) % 50.95/51.17 (step @p88 :rule instantiate :premises (@p44) :args ((@list @t61 @t38))) % 50.95/51.17 (step @p89 :rule instantiate :premises (@p19) :args ((@list tptp.x0 @t47 @t62))) % 50.95/51.17 (assume-push @p295 @t63) % 50.95/51.17 (assume-push @p296 @t35) % 50.95/51.17 (assume-push @p297 @t64) % 50.95/51.17 (assume-push @p298 @t67) % 50.95/51.17 (assume-push @p299 @t68) % 50.95/51.17 (assume-push @p300 @t69) % 50.95/51.17 (assume-push @p301 @t71) % 50.95/51.17 (assume-push @p302 @t72) % 50.95/51.17 (assume-push @p303 @t74) % 50.95/51.17 (assume-push @p304 @t76) % 50.95/51.17 (assume-push @p305 @t78) % 50.95/51.17 (assume-push @p306 @t79) % 50.95/51.17 (assume-push @p307 @t83) % 50.95/51.17 (assume-push @p308 @t85) % 50.95/51.17 (assume-push @p309 @t87) % 50.95/51.17 (assume-push @p310 @t89) % 50.95/51.17 (assume-push @p311 @t91) % 50.95/51.17 (assume-push @p312 @t93) % 50.95/51.17 (assume-push @p313 @t95) % 50.95/51.17 (assume-push @p314 @t97) % 50.95/51.17 (assume-push @p315 @t98) % 50.95/51.17 (assume-push @p316 @t100) % 50.95/51.17 (assume-push @p317 @t102) % 50.95/51.17 (assume-push @p318 @t104) % 50.95/51.17 (assume-push @p319 @t106) % 50.95/51.17 (assume-push @p320 @t107) % 50.95/51.17 (assume-push @p321 @t109) % 50.95/51.17 (assume-push @p322 @t111) % 50.95/51.17 (assume-push @p323 @t113) % 50.95/51.17 (assume-push @p324 @t116) % 50.95/51.17 (assume-push @p325 @t117) % 50.95/51.17 (assume-push @p326 @t120) % 50.95/51.17 (assume-push @p327 @t123) % 50.95/51.17 (assume-push @p328 @t125) % 50.95/51.17 (assume-push @p329 @t127) % 50.95/51.17 (assume-push @p330 @t128) % 50.95/51.17 (assume-push @p331 @t133) % 50.95/51.17 (assume-push @p332 @t137) % 50.95/51.17 (assume-push @p333 @t140) % 50.95/51.17 (assume-push @p334 @t141) % 50.95/51.17 (assume-push @p335 @t143) % 50.95/51.17 (assume-push @p336 @t146) % 50.95/51.17 (step @p132 :rule symm :premises (@p40)) % 50.95/51.17 (step @p133 :rule symm :premises (@p59)) % 50.95/51.17 (step @p29 :rule instantiate :premises (@p24) :args (@t34)) % 50.95/51.17 (step @p134 :rule symm :premises (@p68)) % 50.95/51.17 (step @p135 :rule refl :args (@t108)) % 50.95/51.17 (step @p136 :rule cong :premises (@p135 @p29) :args (@t112)) % 50.95/51.17 (step @p137 :rule refl :args (@t25)) % 50.95/51.17 (step @p138 :rule cong :premises (@p34 @p137) :args (@t118)) % 50.95/51.17 (step @p139 :rule trans :premises (@p138 @p73 @p136 @p134 @p29)) % 50.95/51.17 (step @p140 :rule symm :premises (@p21)) % 50.95/51.18 (step @p141 :rule cong :premises (@p137 @p140) :args (@t121)) % 50.95/51.18 (step @p142 :rule trans :premises (@p141 @p56)) % 50.95/51.18 (step @p143 :rule cong :premises (@p142 @p139) :args (@t122)) % 50.95/51.18 (step @p144 :rule cong :premises (@p137 @p47) :args (@t126)) % 50.95/51.18 (step @p145 :rule symm :premises (@p82)) % 50.95/51.18 (step @p146 :rule symm :premises (@p81)) % 50.95/51.18 (step @p147 :rule symm :premises (@p139)) % 50.95/51.18 (step @p148 :rule symm :premises (@p55)) % 50.95/51.18 (step @p149 :rule cong :premises (@p148 @p147) :args (@t105)) % 50.95/51.18 (step @p150 :rule trans :premises (@p63 @p149 @p146)) % 50.95/51.18 (step @p151 :rule symm :premises (@p35)) % 50.95/51.18 (step @p152 :rule cong :premises (@p151 @p150) :args (@t110)) % 50.95/51.18 (step @p153 :rule symm :premises (@p72)) % 50.95/51.18 (step @p154 :rule symm :premises (@p152)) % 50.95/51.18 (step @p155 :rule symm :premises (@p144)) % 50.95/51.18 (step @p156 :rule symm :premises (@p80)) % 50.95/51.18 (step @p157 :rule symm :premises (@p143)) % 50.95/51.18 (step @p158 :rule refl :args (tptp.x2)) % 50.95/51.18 (step @p159 :rule symm :premises (@p46)) % 50.95/51.18 (step @p160 :rule cong :premises (@p159 @p158) :args (@t81)) % 50.95/51.18 (step @p161 :rule trans :premises (@p160 @p40 @p59 @p157 @p156 @p155 @p82 @p154)) % 50.95/51.18 (step @p162 :rule refl :args (@t38)) % 50.95/51.18 (step @p163 :rule cong :premises (@p162 @p161) :args (@t82)) % 50.95/51.18 (step @p164 :rule symm :premises (@p160)) % 50.95/51.18 (step @p165 :rule refl :args (@t53)) % 50.95/51.18 (step @p166 :rule symm :premises (@p78)) % 50.95/51.18 (step @p167 :rule symm :premises (@p50)) % 50.95/51.18 (step @p168 :rule refl :args (tptp.x0)) % 50.95/51.18 (step @p169 :rule cong :premises (@p48 @p168) :args (@t57)) % 50.95/51.18 (step @p170 :rule trans :premises (@p169 @p167)) % 50.95/51.18 (step @p171 :rule cong :premises (@p162 @p170) :args (@t130)) % 50.95/51.18 (step @p172 :rule trans :premises (@p171 @p166)) % 50.95/51.18 (step @p173 :rule cong :premises (@p172 @p165) :args (@t131)) % 50.95/51.18 (step @p174 :rule trans :premises (@p173 @p152 @p145 @p144 @p80 @p143 @p133 @p132 @p164)) % 50.95/51.18 (step @p175 :rule cong :premises (@p162 @p174) :args (@t132)) % 50.95/51.18 (step @p176 :rule symm :premises (@p84)) % 50.95/51.18 (step @p177 :rule symm :premises (@p87)) % 50.95/51.18 (step @p178 :rule symm :premises (@p175)) % 50.95/51.18 (step @p179 :rule symm :premises (@p163)) % 50.95/51.18 (step @p180 :rule trans :premises (@p72 @p179 @p178 @p84)) % 50.95/51.18 (step @p181 :rule cong :premises (@p180 @p162) :args (@t59)) % 50.95/51.18 (step @p182 :rule symm :premises (@p51)) % 50.95/51.18 (step @p183 :rule trans :premises (@p182 @p163 @p153)) % 50.95/51.18 (step @p184 :rule cong :premises (@p183 @p162) :args (@t99)) % 50.95/51.18 (step @p185 :rule trans :premises (@p60 @p184 @p181 @p177)) % 50.95/51.18 (step @p186 :rule symm :premises (@p83)) % 50.95/51.18 (step @p187 :rule symm :premises (@p67)) % 50.95/51.18 (step @p188 :rule cong :premises (@p183 @p158) :args (@t88)) % 50.95/51.18 (step @p189 :rule trans :premises (@p54 @p188 @p187)) % 50.95/51.18 (step @p190 :rule cong :premises (@p34 @p189) :args (@t144)) % 50.95/51.18 (step @p191 :rule trans :premises (@p190 @p73 @p136 @p134 @p29)) % 50.95/51.18 (step @p192 :rule cong :premises (@p74 @p191) :args (@t145)) % 50.95/51.18 (step @p193 :rule cong :premises (@p158 @p46) :args (@t138)) % 50.95/51.18 (step @p194 :rule trans :premises (@p193 @p58)) % 50.95/51.18 (step @p195 :rule cong :premises (@p137 @p194) :args (@t139)) % 50.95/51.18 (step @p196 :rule symm :premises (@p86)) % 50.95/51.18 (step @p197 :rule symm :premises (@p79)) % 50.95/51.18 (step @p198 :rule refl :args (@t41)) % 50.95/51.18 (step @p199 :rule cong :premises (@p147 @p198) :args (@t51)) % 50.95/51.18 (step @p200 :rule trans :premises (@p199 @p197)) % 50.95/51.18 (step @p201 :rule refl :args (@t40)) % 50.95/51.18 (step @p202 :rule cong :premises (@p201 @p200) :args (@t52)) % 50.95/51.18 (step @p203 :rule symm :premises (@p62)) % 50.95/51.18 (step @p204 :rule symm :premises (@p36)) % 50.95/51.18 (step @p205 :rule trans :premises (@p204 @p49)) % 50.95/51.18 (step @p206 :rule cong :premises (@p205 @p137) :args (@t70)) % 50.95/51.18 (step @p207 :rule symm :premises (@p41)) % 50.95/51.18 (step @p208 :rule refl :args (@t39)) % 50.95/51.18 (step @p209 :rule cong :premises (@p159 @p208) :args (@t45)) % 50.95/51.18 (step @p210 :rule trans :premises (@p209 @p207 @p45 @p206)) % 50.95/51.18 (step @p211 :rule cong :premises (@p151 @p210) :args (@t58)) % 50.95/51.18 (step @p212 :rule symm :premises (@p52)) % 50.95/51.18 (step @p213 :rule trans :premises (@p212 @p211 @p53)) % 50.95/51.18 (step @p214 :rule symm :premises (@p57)) % 50.95/51.18 (step @p215 :rule refl :args (@t58)) % 50.95/51.18 (step @p216 :rule cong :premises (@p172 @p215) :args (@t135)) % 50.95/51.18 (step @p217 :rule trans :premises (@p216 @p214)) % 50.95/51.18 (step @p218 :rule cong :premises (@p162 @p217) :args (@t136)) % 50.95/51.18 (step @p219 :rule symm :premises (@p85)) % 50.95/51.18 (step @p220 :rule trans :premises (@p219 @p218 @p52)) % 50.95/51.18 (step @p221 :rule trans :premises (@p220 @p213)) % 50.95/51.18 (step @p222 :rule cong :premises (@p221 @p151) :args (@t142)) % 50.95/51.18 (step @p223 :rule symm :premises (@p213)) % 50.95/51.18 (step @p224 :rule trans :premises (@p223 @p212)) % 50.95/51.18 (step @p225 :rule cong :premises (@p224 @p35) :args (@t103)) % 50.95/51.18 (step @p226 :rule cong :premises (@p213 @p151) :args (@t101)) % 50.95/51.18 (step @p227 :rule trans :premises (@p226 @p225)) % 50.95/51.18 (step @p228 :rule refl :args (@t57)) % 50.95/51.18 (step @p229 :rule cong :premises (@p228 @p227) :args ((tptp.product @t57 @t101))) % 50.95/51.18 (step @p230 :rule trans :premises (@p229 @p88 @p222 @p203 @p202 @p196 @p195 @p89 @p192 @p186)) % 50.95/51.18 (step @p231 :rule symm :premises (@p229)) % 50.95/51.18 (step @p232 :rule symm :premises (@p88)) % 50.95/51.18 (step @p233 :rule symm :premises (@p222)) % 50.95/51.18 (step @p234 :rule trans :premises (@p61 @p226 @p233 @p232 @p231)) % 50.95/51.18 (step @p235 :rule symm :premises (@p61)) % 50.95/51.18 (step @p236 :rule symm :premises (@p226)) % 50.95/51.18 (step @p237 :rule trans :premises (@p62 @p236 @p235)) % 50.95/51.18 (step @p238 :rule trans :premises (@p237 @p234 @p230 @p185)) % 50.95/51.18 (step @p239 :rule cong :premises (@p238 @p35) :args (@t86)) % 50.95/51.18 (step @p240 :rule trans :premises (@p212 @p211 @p53 @p239 @p176 @p175 @p163 @p153)) % 50.95/51.18 (step @p241 :rule cong :premises (@p162 @p240) :args ((tptp.product @t38 @t84))) % 50.95/51.18 (step @p242 :rule cong :premises (@p162 @p52) :args (@t94)) % 50.95/51.18 (step @p243 :rule symm :premises (@p209)) % 50.95/51.18 (step @p244 :rule trans :premises (@p41 @p243 @p57 @p242 @p241 @p152 @p145 @p144 @p80 @p143 @p133 @p132)) % 50.95/51.18 (step-pop @p337 :rule scope :premises (@p244)) % 50.95/51.18 (step-pop @p338 :rule scope :premises (@p337)) % 50.95/51.18 (step-pop @p339 :rule scope :premises (@p338)) % 50.95/51.18 (step-pop @p340 :rule scope :premises (@p339)) % 50.95/51.18 (step-pop @p341 :rule scope :premises (@p340)) % 50.95/51.18 (step-pop @p342 :rule scope :premises (@p341)) % 50.95/51.18 (step-pop @p343 :rule scope :premises (@p342)) % 50.95/51.18 (step-pop @p344 :rule scope :premises (@p343)) % 50.95/51.18 (step-pop @p345 :rule scope :premises (@p344)) % 50.95/51.18 (step-pop @p346 :rule scope :premises (@p345)) % 50.95/51.18 (step-pop @p347 :rule scope :premises (@p346)) % 50.95/51.18 (step-pop @p348 :rule scope :premises (@p347)) % 50.95/51.18 (step-pop @p349 :rule scope :premises (@p348)) % 50.95/51.18 (step-pop @p350 :rule scope :premises (@p349)) % 50.95/51.18 (step-pop @p351 :rule scope :premises (@p350)) % 50.95/51.18 (step-pop @p352 :rule scope :premises (@p351)) % 50.95/51.18 (step-pop @p353 :rule scope :premises (@p352)) % 50.95/51.18 (step-pop @p354 :rule scope :premises (@p353)) % 50.95/51.18 (step-pop @p355 :rule scope :premises (@p354)) % 50.95/51.18 (step-pop @p356 :rule scope :premises (@p355)) % 50.95/51.18 (step-pop @p357 :rule scope :premises (@p356)) % 50.95/51.18 (step-pop @p358 :rule scope :premises (@p357)) % 50.95/51.18 (step-pop @p359 :rule scope :premises (@p358)) % 50.95/51.18 (step-pop @p360 :rule scope :premises (@p359)) % 50.95/51.18 (step-pop @p361 :rule scope :premises (@p360)) % 50.95/51.18 (step-pop @p362 :rule scope :premises (@p361)) % 50.95/51.18 (step-pop @p363 :rule scope :premises (@p362)) % 50.95/51.18 (step-pop @p364 :rule scope :premises (@p363)) % 50.95/51.18 (step-pop @p365 :rule scope :premises (@p364)) % 50.95/51.18 (step-pop @p366 :rule scope :premises (@p365)) % 50.95/51.18 (step-pop @p367 :rule scope :premises (@p366)) % 50.95/51.18 (step-pop @p368 :rule scope :premises (@p367)) % 50.95/51.18 (step-pop @p369 :rule scope :premises (@p368)) % 50.95/51.18 (step-pop @p370 :rule scope :premises (@p369)) % 50.95/51.18 (step-pop @p371 :rule scope :premises (@p370)) % 50.95/51.18 (step-pop @p372 :rule scope :premises (@p371)) % 50.95/51.18 (step-pop @p373 :rule scope :premises (@p372)) % 50.95/51.18 (step-pop @p374 :rule scope :premises (@p373)) % 50.95/51.18 (step-pop @p375 :rule scope :premises (@p374)) % 50.95/51.18 (step-pop @p376 :rule scope :premises (@p375)) % 50.95/51.18 (step-pop @p377 :rule scope :premises (@p376)) % 50.95/51.18 (step-pop @p378 :rule scope :premises (@p377)) % 50.95/51.18 (step @p245 :rule process_scope :premises (@p378) :args (@t30)) % 50.95/51.18 (step @p288 :rule implies_elim :premises (@p245)) % 50.95/51.18 (step @p289 :rule cnf_and_neg :args (@t147)) % 50.95/51.18 (step @p290 :rule resolution :premises (@p289 @p288) :args (true @t147)) % 50.95/51.18 (step @p291 :rule reordering :premises (@p290) :args ((or @t30 (not @t63) (not @t35) (not @t64) (not @t67) (not @t68) (not @t69) (not @t71) (not @t72) (not @t74) (not @t76) (not @t78) (not @t79) (not @t83) (not @t85) (not @t87) (not @t89) (not @t91) (not @t93) (not @t95) (not @t97) (not @t98) (not @t100) (not @t102) (not @t104) (not @t106) (not @t107) (not @t109) (not @t111) (not @t113) (not @t116) (not @t117) (not @t120) (not @t123) (not @t125) (not @t127) (not @t128) (not @t133) (not @t137) (not @t140) (not @t141) (not @t143) (not @t146)))) % 50.95/51.18 (step @p292 false :rule chain_m_resolution :premises (@p291 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p74 @p73 @p72 @p68 @p67 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p41 @p40 @p36 @p35 @p34 @p21 @p20) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t146 @t143 @t141 @t140 @t137 @t133 @t128 @t127 @t125 @t123 @t120 @t117 @t116 @t113 @t111 @t109 @t107 @t106 @t104 @t102 @t100 @t98 @t97 @t95 @t93 @t91 @t89 @t87 @t85 @t83 @t79 @t78 @t76 @t74 @t72 @t71 @t69 @t68 @t67 @t64 @t35 @t63 @t30))) % 50.95/51.18 ) % 50.95/51.20 % SZS output end Proof % 50.95/51.20 % cvc5 exiting %------------------------------------------------------------------------------