%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP127-3.004 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:19:54 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : GRP127-3.004 : TPTP v9.2.1. Released v1.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 00:53:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.67 % SZS status Unsatisfiable % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.e_2 $$unsorted) % 0.44/0.67 (declare-const tptp.cycle (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.e_4 $$unsorted) % 0.44/0.67 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.e_0 $$unsorted) % 0.44/0.67 (declare-const tptp.e_3 $$unsorted) % 0.44/0.67 (declare-const tptp.e_1 $$unsorted) % 0.44/0.67 (define @t1 () (tptp.next tptp.e_2 tptp.e_3)) % 0.44/0.67 (define @t2 () (tptp.greater tptp.e_1 tptp.e_0)) % 0.44/0.67 (define @t3 () (tptp.greater tptp.e_2 tptp.e_0)) % 0.44/0.67 (define @t4 () (tptp.greater tptp.e_3 tptp.e_0)) % 0.44/0.67 (define @t5 () (tptp.greater tptp.e_4 tptp.e_2)) % 0.44/0.67 (define @t6 () (@var "Z" $$unsorted)) % 0.44/0.67 (define @t7 () (@var "Y" $$unsorted)) % 0.44/0.67 (define @t8 () (@var "X" $$unsorted)) % 0.44/0.67 (define @t9 () (not (tptp.cycle @t8 @t7))) % 0.44/0.67 (define @t10 () (tptp.cycle @t8 tptp.e_0)) % 0.44/0.67 (define @t11 () (not (tptp.group_element @t8))) % 0.44/0.67 (define @t12 () (@list @t8)) % 0.44/0.67 (define @t13 () (@var "Z1" $$unsorted)) % 0.44/0.67 (define @t14 () (not (tptp.greater @t7 tptp.e_0))) % 0.44/0.67 (define @t15 () (@var "W" $$unsorted)) % 0.44/0.67 (define @t16 () (@var "Z2" $$unsorted)) % 0.44/0.67 (define @t17 () (not (tptp.greater @t7 @t8))) % 0.44/0.67 (define @t18 () (@list @t8 @t7)) % 0.44/0.67 (define @t19 () (@var "X1" $$unsorted)) % 0.44/0.67 (define @t20 () (tptp.group_element tptp.e_1)) % 0.44/0.67 (define @t21 () (tptp.group_element tptp.e_2)) % 0.44/0.67 (define @t22 () (tptp.group_element tptp.e_3)) % 0.44/0.67 (define @t23 () (tptp.group_element tptp.e_4)) % 0.44/0.67 (define @t24 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.44/0.67 (define @t25 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.44/0.67 (define @t26 () (tptp.equalish tptp.e_1 tptp.e_4)) % 0.44/0.67 (define @t27 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.44/0.67 (define @t28 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.44/0.67 (define @t29 () (tptp.equalish tptp.e_2 tptp.e_4)) % 0.44/0.67 (define @t30 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.44/0.67 (define @t31 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.44/0.67 (define @t32 () (tptp.equalish tptp.e_3 tptp.e_4)) % 0.44/0.67 (define @t33 () (tptp.equalish tptp.e_4 tptp.e_2)) % 0.44/0.67 (define @t34 () (tptp.equalish tptp.e_4 tptp.e_3)) % 0.44/0.67 (define @t35 () (tptp.equalish @t15 @t6)) % 0.44/0.67 (define @t36 () (forall (@list @t15 @t7 @t8 @t6) (or (not (tptp.product @t15 @t7 @t8)) (not (tptp.product @t6 @t7 @t8)) @t35))) % 0.44/0.67 (define @t37 () (@list tptp.e_2 tptp.e_4)) % 0.44/0.67 (define @t38 () (tptp.product tptp.e_4 tptp.e_4 tptp.e_4)) % 0.44/0.67 (define @t39 () (not @t38)) % 0.44/0.67 (define @t40 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_4)) % 0.44/0.67 (define @t41 () (not @t40)) % 0.44/0.67 (define @t42 () (or @t41 @t39 @t26)) % 0.44/0.67 (define @t43 () (@list true false false)) % 0.44/0.67 (define @t44 () (@list tptp.e_2)) % 0.44/0.67 (define @t45 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.44/0.67 (define @t46 () (not @t45)) % 0.44/0.67 (define @t47 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.44/0.67 (define @t48 () (not @t47)) % 0.44/0.67 (define @t49 () (or @t48 @t46 @t24)) % 0.44/0.67 (define @t50 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.44/0.67 (define @t51 () (not @t50)) % 0.44/0.67 (define @t52 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.44/0.67 (define @t53 () (not @t52)) % 0.44/0.67 (define @t54 () (or @t53 @t51 @t27)) % 0.44/0.67 (define @t55 () (not @t5)) % 0.44/0.67 (define @t56 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_4)) % 0.44/0.67 (define @t57 () (not @t56)) % 0.44/0.67 (define @t58 () (tptp.cycle tptp.e_2 tptp.e_0)) % 0.44/0.67 (define @t59 () (not @t58)) % 0.44/0.67 (define @t60 () (or @t59 @t57 @t55)) % 0.44/0.67 (define @t61 () (not @t1)) % 0.44/0.67 (define @t62 () (not @t2)) % 0.44/0.67 (define @t63 () (tptp.cycle tptp.e_2 tptp.e_1)) % 0.44/0.67 (define @t64 () (not @t63)) % 0.44/0.67 (define @t65 () (or @t64 @t57 @t62 @t61 @t34)) % 0.44/0.67 (define @t66 () (not @t3)) % 0.44/0.67 (define @t67 () (tptp.cycle tptp.e_2 tptp.e_2)) % 0.44/0.67 (define @t68 () (not @t67)) % 0.44/0.67 (define @t69 () (or @t68 @t57 @t66 @t61 @t34)) % 0.44/0.67 (define @t70 () (not @t4)) % 0.44/0.67 (define @t71 () (tptp.cycle tptp.e_2 tptp.e_3)) % 0.44/0.67 (define @t72 () (not @t71)) % 0.44/0.67 (define @t73 () (or @t72 @t57 @t70 @t61 @t34)) % 0.44/0.67 (define @t74 () (not @t21)) % 0.44/0.67 (define @t75 () (or @t74 @t58 @t63 @t67 @t71)) % 0.44/0.67 (define @t76 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.44/0.67 (define @t77 () (not @t20)) % 0.44/0.67 (define @t78 () (or @t74 @t77 @t52 @t47 @t76 @t56)) % 0.44/0.67 (define @t79 () (@list false false true true true false)) % 0.44/0.67 (define @t80 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_3)) % 0.44/0.67 (define @t81 () (not @t80)) % 0.44/0.67 (define @t82 () (not @t76)) % 0.44/0.67 (define @t83 () (or @t82 @t81 @t29)) % 0.44/0.67 (define @t84 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4)) % 0.44/0.67 (define @t85 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_1)) % 0.44/0.67 (define @t86 () (not @t85)) % 0.44/0.67 (define @t87 () (or @t51 @t86 @t26)) % 0.44/0.67 (define @t88 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_2)) % 0.44/0.67 (define @t89 () (not @t23)) % 0.44/0.67 (define @t90 () (or @t89 @t77 @t85 @t88 @t80 @t40)) % 0.44/0.67 (define @t91 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.44/0.67 (define @t92 () (not @t91)) % 0.44/0.67 (define @t93 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_3)) % 0.44/0.67 (define @t94 () (not @t93)) % 0.44/0.67 (define @t95 () (or @t94 @t92 @t25)) % 0.44/0.67 (define @t96 () (not @t88)) % 0.44/0.67 (define @t97 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.44/0.67 (define @t98 () (not @t97)) % 0.44/0.67 (define @t99 () (or @t98 @t96 @t32)) % 0.44/0.67 (define @t100 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.44/0.67 (define @t101 () (not @t100)) % 0.44/0.67 (define @t102 () (or @t101 @t51 @t30)) % 0.44/0.67 (define @t103 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_4)) % 0.44/0.67 (define @t104 () (not @t22)) % 0.44/0.67 (define @t105 () (or @t104 @t77 @t100 @t97 @t93 @t103)) % 0.44/0.67 (define @t106 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_4)) % 0.44/0.67 (define @t107 () (not @t106)) % 0.44/0.67 (define @t108 () (not @t103)) % 0.44/0.67 (define @t109 () (or @t108 @t107 @t24)) % 0.44/0.67 (define @t110 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_3)) % 0.44/0.67 (define @t111 () (not @t110)) % 0.44/0.67 (define @t112 () (or @t92 @t111 @t31)) % 0.44/0.67 (define @t113 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_2)) % 0.44/0.67 (define @t114 () (not @t113)) % 0.44/0.67 (define @t115 () (or @t46 @t114 @t28)) % 0.44/0.67 (define @t116 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_1)) % 0.44/0.67 (define @t117 () (or @t104 @t74 @t116 @t113 @t110 @t106)) % 0.44/0.67 (define @t118 () (not @t116)) % 0.44/0.67 (define @t119 () (tptp.product tptp.e_3 tptp.e_4 tptp.e_1)) % 0.44/0.67 (define @t120 () (not @t119)) % 0.44/0.67 (define @t121 () (or @t120 @t118 @t33)) % 0.44/0.67 (define @t122 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_3)) % 0.44/0.67 (define @t123 () (not @t122)) % 0.44/0.67 (define @t124 () (or @t96 @t123 @t119)) % 0.44/0.67 (define @t125 () (tptp.product tptp.e_1 tptp.e_4 tptp.e_1)) % 0.44/0.67 (define @t126 () (not @t125)) % 0.44/0.67 (define @t127 () (or @t51 @t126 @t26)) % 0.44/0.67 (define @t128 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_1)) % 0.44/0.67 (define @t129 () (not @t128)) % 0.44/0.67 (define @t130 () (or @t96 @t129 @t125)) % 0.44/0.67 (define @t131 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_2)) % 0.44/0.67 (define @t132 () (not @t131)) % 0.44/0.67 (define @t133 () (or @t132 @t46 @t33)) % 0.44/0.67 (define @t134 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_4)) % 0.44/0.67 (define @t135 () (or @t74 @t89 @t128 @t131 @t122 @t134)) % 0.44/0.67 (define @t136 () (not @t134)) % 0.44/0.67 (define @t137 () (or @t136 @t39 @t29)) % 0.44/0.67 (define @t138 () (not @t137)) % 0.44/0.67 (assume @p1 (tptp.next tptp.e_0 tptp.e_1)) % 0.44/0.67 (assume @p2 (tptp.next tptp.e_1 tptp.e_2)) % 0.44/0.67 (assume @p3 @t1) % 0.44/0.67 (assume @p4 (tptp.next tptp.e_3 tptp.e_4)) % 0.44/0.67 (assume @p5 @t2) % 0.44/0.67 (assume @p6 @t3) % 0.44/0.67 (assume @p7 @t4) % 0.44/0.67 (assume @p8 (tptp.greater tptp.e_4 tptp.e_0)) % 0.44/0.67 (assume @p9 (tptp.greater tptp.e_2 tptp.e_1)) % 0.44/0.67 (assume @p10 (tptp.greater tptp.e_3 tptp.e_1)) % 0.44/0.67 (assume @p11 (tptp.greater tptp.e_4 tptp.e_1)) % 0.44/0.67 (assume @p12 (tptp.greater tptp.e_3 tptp.e_2)) % 0.44/0.67 (assume @p13 @t5) % 0.44/0.67 (assume @p14 (tptp.greater tptp.e_4 tptp.e_3)) % 0.44/0.67 (assume @p15 (forall (@list @t8 @t7 @t6) (or @t9 (not (tptp.cycle @t8 @t6)) (tptp.equalish @t7 @t6)))) % 0.44/0.67 (assume @p16 (forall @t12 (or @t11 @t10 (tptp.cycle @t8 tptp.e_1) (tptp.cycle @t8 tptp.e_2) (tptp.cycle @t8 tptp.e_3)))) % 0.44/0.67 (assume @p17 (tptp.cycle tptp.e_4 tptp.e_0)) % 0.44/0.67 (assume @p18 (forall (@list @t8 @t7 @t15 @t6 @t13) (or @t9 (not (tptp.cycle @t15 @t6)) (not (tptp.next @t8 @t15)) @t14 (not (tptp.next @t6 @t13)) (tptp.equalish @t7 @t13)))) % 0.44/0.67 (assume @p19 (forall (@list @t8 @t13 @t7 @t15 @t16) (or (not (tptp.cycle @t8 @t13)) (not (tptp.cycle @t7 tptp.e_0)) (not (tptp.cycle @t15 @t16)) (not (tptp.next @t7 @t15)) @t17 (not (tptp.greater @t13 @t16))))) % 0.44/0.67 (assume @p20 (forall @t18 (or (not @t10) (not (tptp.product @t8 tptp.e_1 @t7)) @t17))) % 0.44/0.67 (assume @p21 (forall (@list @t8 @t7 @t6 @t19) (or @t9 (not (tptp.product @t8 tptp.e_1 @t6)) @t14 (not (tptp.next @t8 @t19)) (tptp.equalish @t6 @t19)))) % 0.44/0.67 (assume @p22 @t20) % 0.44/0.67 (assume @p23 @t21) % 0.44/0.67 (assume @p24 @t22) % 0.44/0.67 (assume @p25 @t23) % 0.44/0.67 (assume @p26 (not @t24)) % 0.44/0.67 (assume @p27 (not @t25)) % 0.44/0.67 (assume @p28 (not @t26)) % 0.44/0.67 (assume @p29 (not @t27)) % 0.44/0.67 (assume @p30 (not @t28)) % 0.44/0.67 (assume @p31 (not @t29)) % 0.44/0.67 (assume @p32 (not @t30)) % 0.44/0.67 (assume @p33 (not @t31)) % 0.44/0.67 (assume @p34 (not @t32)) % 0.44/0.67 (assume @p35 (not (tptp.equalish tptp.e_4 tptp.e_1))) % 0.44/0.67 (assume @p36 (not @t33)) % 0.44/0.67 (assume @p37 (not @t34)) % 0.44/0.67 (assume @p38 (forall @t18 (or @t11 (not (tptp.group_element @t7)) (tptp.product @t8 @t7 tptp.e_1) (tptp.product @t8 @t7 tptp.e_2) (tptp.product @t8 @t7 tptp.e_3) (tptp.product @t8 @t7 tptp.e_4)))) % 0.44/0.67 (assume @p39 (forall (@list @t8 @t7 @t15 @t6) (or (not (tptp.product @t8 @t7 @t15)) (not (tptp.product @t8 @t7 @t6)) @t35))) % 0.44/0.67 (assume @p40 (forall (@list @t8 @t15 @t7 @t6) (or (not (tptp.product @t8 @t15 @t7)) (not (tptp.product @t8 @t6 @t7)) @t35))) % 0.44/0.67 (assume @p41 @t36) % 0.44/0.67 (assume @p42 (forall @t12 (tptp.product @t8 @t8 @t8))) % 0.44/0.67 (assume @p43 (forall (@list @t7 @t8 @t13 @t16) (or (not (tptp.product @t7 @t8 @t13)) (not (tptp.product @t13 @t7 @t16)) (tptp.product @t16 @t7 @t8)))) % 0.44/0.67 (step @p44 :rule instantiate :premises (@p42) :args ((@list tptp.e_4))) % 0.44/0.67 (step @p45 :rule instantiate :premises (@p38) :args (@t37)) % 0.44/0.67 (step @p46 :rule instantiate :premises (@p43) :args ((@list tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_3))) % 0.44/0.67 (step @p47 :rule instantiate :premises (@p38) :args ((@list tptp.e_4 tptp.e_1))) % 0.44/0.67 (step @p48 :rule instantiate :premises (@p40) :args ((@list tptp.e_4 tptp.e_1 tptp.e_4 tptp.e_4))) % 0.44/0.67 (step @p49 :rule cnf_or_pos :args (@t42)) % 0.44/0.67 (step @p50 :rule reordering :premises (@p49) :args ((or @t26 @t41 @t39 (not @t42)))) % 0.44/0.67 (step @p51 :rule chain_m_resolution :premises (@p50 @p28 @p44 @p48) :args (@t41 @t43 (@list @t26 @t38 @t42))) % 0.44/0.67 (step @p52 :rule instantiate :premises (@p41) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_4))) % 0.44/0.67 (step @p53 :rule instantiate :premises (@p38) :args ((@list tptp.e_2 tptp.e_1))) % 0.44/0.67 (step @p54 :rule instantiate :premises (@p40) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.44/0.67 (step @p55 :rule instantiate :premises (@p42) :args (@t44)) % 0.44/0.67 (step @p56 :rule cnf_or_pos :args (@t49)) % 0.44/0.67 (step @p57 :rule reordering :premises (@p56) :args ((or @t24 @t48 @t46 (not @t49)))) % 0.44/0.67 (step @p58 :rule chain_m_resolution :premises (@p57 @p26 @p55 @p54) :args (@t48 @t43 (@list @t24 @t45 @t49))) % 0.44/0.67 (step @p59 :rule instantiate :premises (@p41) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.44/0.67 (step @p60 :rule instantiate :premises (@p42) :args ((@list tptp.e_1))) % 0.44/0.67 (step @p61 :rule cnf_or_pos :args (@t54)) % 0.44/0.67 (step @p62 :rule reordering :premises (@p61) :args ((or @t27 @t51 @t53 (not @t54)))) % 0.44/0.67 (step @p63 :rule chain_m_resolution :premises (@p62 @p29 @p60 @p59) :args (@t53 @t43 (@list @t27 @t50 @t54))) % 0.44/0.67 (step @p64 :rule instantiate :premises (@p20) :args (@t37)) % 0.44/0.67 (step @p65 :rule cnf_or_pos :args (@t60)) % 0.44/0.67 (step @p66 :rule reordering :premises (@p65) :args ((or @t55 @t59 @t57 (not @t60)))) % 0.44/0.67 (step @p67 :rule instantiate :premises (@p21) :args ((@list tptp.e_2 tptp.e_1 tptp.e_4 tptp.e_3))) % 0.44/0.67 (step @p68 :rule cnf_or_pos :args (@t65)) % 0.44/0.67 (step @p69 :rule reordering :premises (@p68) :args ((or @t34 @t61 @t62 @t57 @t64 (not @t65)))) % 0.44/0.67 (step @p70 :rule instantiate :premises (@p21) :args ((@list tptp.e_2 tptp.e_2 tptp.e_4 tptp.e_3))) % 0.44/0.67 (step @p71 :rule cnf_or_pos :args (@t69)) % 0.44/0.67 (step @p72 :rule reordering :premises (@p71) :args ((or @t34 @t61 @t66 @t57 @t68 (not @t69)))) % 0.44/0.67 (step @p73 :rule instantiate :premises (@p21) :args ((@list tptp.e_2 tptp.e_3 tptp.e_4 tptp.e_3))) % 0.44/0.67 (step @p74 :rule cnf_or_pos :args (@t73)) % 0.44/0.67 (step @p75 :rule reordering :premises (@p74) :args ((or @t34 @t61 @t70 @t57 @t72 (not @t73)))) % 0.44/0.67 (step @p76 :rule instantiate :premises (@p16) :args (@t44)) % 0.44/0.67 (step @p77 :rule cnf_or_pos :args (@t75)) % 0.44/0.67 (step @p78 :rule reordering :premises (@p77) :args ((or @t74 @t58 @t63 @t67 @t71 (not @t75)))) % 0.44/0.67 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p23 @p75 @p73 @p37 @p7 @p3 @p72 @p70 @p37 @p6 @p3 @p69 @p67 @p37 @p5 @p3 @p66 @p64 @p13) :args (@t57 (@list false false true false true false false true false true false false true false true false false true false false) (@list @t75 @t21 @t71 @t73 @t34 @t4 @t1 @t67 @t69 @t34 @t3 @t1 @t63 @t65 @t34 @t2 @t1 @t58 @t60 @t5))) % 0.44/0.67 (step @p80 :rule cnf_or_pos :args (@t78)) % 0.44/0.67 (step @p81 :rule reordering :premises (@p80) :args ((or @t77 @t74 @t76 @t56 @t52 @t47 (not @t78)))) % 0.44/0.67 (step @p82 :rule chain_m_resolution :premises (@p81 @p22 @p23 @p79 @p63 @p58 @p53) :args (@t76 @t79 (@list @t20 @t21 @t56 @t52 @t47 @t78))) % 0.44/0.67 (step @p83 :rule cnf_or_pos :args (@t83)) % 0.44/0.67 (step @p84 :rule reordering :premises (@p83) :args ((or @t29 @t82 @t81 (not @t83)))) % 0.44/0.67 (step @p85 :rule chain_m_resolution :premises (@p84 @p31 @p82 @p52) :args (@t81 @t43 (@list @t29 @t76 @t83))) % 0.44/0.67 (step @p86 :rule instantiate :premises (@p41) :args (@t84)) % 0.44/0.67 (step @p87 :rule cnf_or_pos :args (@t87)) % 0.44/0.67 (step @p88 :rule reordering :premises (@p87) :args ((or @t26 @t51 @t86 (not @t87)))) % 0.44/0.67 (step @p89 :rule chain_m_resolution :premises (@p88 @p28 @p60 @p86) :args (@t86 @t43 (@list @t26 @t50 @t87))) % 0.44/0.67 (step @p90 :rule cnf_or_pos :args (@t90)) % 0.44/0.67 (step @p91 :rule reordering :premises (@p90) :args ((or @t77 @t89 @t85 @t88 @t80 @t40 (not @t90)))) % 0.44/0.67 (step @p92 :rule chain_m_resolution :premises (@p91 @p22 @p25 @p89 @p85 @p51 @p47) :args (@t88 @t79 (@list @t20 @t23 @t85 @t80 @t40 @t90))) % 0.44/0.67 (step @p93 :rule instantiate :premises (@p40) :args ((@list tptp.e_3 tptp.e_4 tptp.e_1 tptp.e_2))) % 0.44/0.67 (step @p94 :rule instantiate :premises (@p38) :args ((@list tptp.e_3 tptp.e_2))) % 0.44/0.67 (step @p95 :rule instantiate :premises (@p40) :args ((@list tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_2))) % 0.44/0.67 (step @p96 :rule instantiate :premises (@p38) :args ((@list tptp.e_3 tptp.e_1))) % 0.44/0.67 (step @p97 :rule instantiate :premises (@p40) :args ((@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3))) % 0.44/0.67 (step @p98 :rule instantiate :premises (@p42) :args ((@list tptp.e_3))) % 0.44/0.67 (step @p99 :rule cnf_or_pos :args (@t95)) % 0.44/0.67 (step @p100 :rule reordering :premises (@p99) :args ((or @t25 @t94 @t92 (not @t95)))) % 0.44/0.67 (step @p101 :rule chain_m_resolution :premises (@p100 @p27 @p98 @p97) :args (@t94 @t43 (@list @t25 @t91 @t95))) % 0.44/0.67 (step @p102 :rule instantiate :premises (@p41) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_4))) % 0.44/0.67 (step @p103 :rule cnf_or_pos :args (@t99)) % 0.44/0.67 (step @p104 :rule reordering :premises (@p103) :args ((or @t32 @t98 @t96 (not @t99)))) % 0.44/0.67 (step @p105 :rule chain_m_resolution :premises (@p104 @p34 @p92 @p102) :args (@t98 @t43 (@list @t32 @t88 @t99))) % 0.44/0.67 (step @p106 :rule instantiate :premises (@p41) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.44/0.67 (step @p107 :rule cnf_or_pos :args (@t102)) % 0.44/0.67 (step @p108 :rule reordering :premises (@p107) :args ((or @t30 @t51 @t101 (not @t102)))) % 0.44/0.67 (step @p109 :rule chain_m_resolution :premises (@p108 @p32 @p60 @p106) :args (@t101 @t43 (@list @t30 @t50 @t102))) % 0.44/0.67 (step @p110 :rule cnf_or_pos :args (@t105)) % 0.44/0.67 (step @p111 :rule reordering :premises (@p110) :args ((or @t77 @t104 @t103 @t100 @t97 @t93 (not @t105)))) % 0.44/0.67 (step @p112 :rule chain_m_resolution :premises (@p111 @p22 @p24 @p109 @p105 @p101 @p96) :args (@t103 @t79 (@list @t20 @t22 @t100 @t97 @t93 @t105))) % 0.44/0.67 (step @p113 :rule cnf_or_pos :args (@t109)) % 0.44/0.67 (step @p114 :rule reordering :premises (@p113) :args ((or @t24 @t108 @t107 (not @t109)))) % 0.44/0.67 (step @p115 :rule chain_m_resolution :premises (@p114 @p26 @p112 @p95) :args (@t107 @t43 (@list @t24 @t103 @t109))) % 0.44/0.67 (step @p116 :rule instantiate :premises (@p40) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2))) % 0.44/0.67 (step @p117 :rule cnf_or_pos :args (@t112)) % 0.44/0.67 (step @p118 :rule reordering :premises (@p117) :args ((or @t31 @t92 @t111 (not @t112)))) % 0.44/0.67 (step @p119 :rule chain_m_resolution :premises (@p118 @p33 @p98 @p116) :args (@t111 @t43 (@list @t31 @t91 @t112))) % 0.44/0.67 (step @p120 :rule instantiate :premises (@p41) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.44/0.67 (step @p121 :rule cnf_or_pos :args (@t115)) % 0.44/0.67 (step @p122 :rule reordering :premises (@p121) :args ((or @t28 @t46 @t114 (not @t115)))) % 0.44/0.67 (step @p123 :rule chain_m_resolution :premises (@p122 @p30 @p55 @p120) :args (@t114 @t43 (@list @t28 @t45 @t115))) % 0.44/0.67 (step @p124 :rule cnf_or_pos :args (@t117)) % 0.44/0.67 (step @p125 :rule reordering :premises (@p124) :args ((or @t74 @t104 @t116 @t113 @t110 @t106 (not @t117)))) % 0.44/0.67 (step @p126 :rule chain_m_resolution :premises (@p125 @p23 @p24 @p123 @p119 @p115 @p94) :args (@t116 @t79 (@list @t21 @t22 @t113 @t110 @t106 @t117))) % 0.44/0.67 (step @p127 :rule cnf_or_pos :args (@t121)) % 0.44/0.67 (step @p128 :rule reordering :premises (@p127) :args ((or @t33 @t120 @t118 (not @t121)))) % 0.44/0.67 (step @p129 :rule chain_m_resolution :premises (@p128 @p36 @p126 @p93) :args (@t120 @t43 (@list @t33 @t116 @t121))) % 0.44/0.67 (step @p130 :rule cnf_or_pos :args (@t124)) % 0.44/0.67 (step @p131 :rule reordering :premises (@p130) :args ((or @t119 @t96 @t123 (not @t124)))) % 0.44/0.67 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p92 @p46) :args (@t123 @t43 (@list @t119 @t88 @t124))) % 0.44/0.67 (step @p133 :rule instantiate :premises (@p43) :args ((@list tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.44/0.67 (step @p134 :rule instantiate :premises (@p40) :args (@t84)) % 0.44/0.67 (step @p135 :rule cnf_or_pos :args (@t127)) % 0.44/0.67 (step @p136 :rule reordering :premises (@p135) :args ((or @t26 @t51 @t126 (not @t127)))) % 0.44/0.67 (step @p137 :rule chain_m_resolution :premises (@p136 @p28 @p60 @p134) :args (@t126 @t43 (@list @t26 @t50 @t127))) % 0.44/0.67 (step @p138 :rule cnf_or_pos :args (@t130)) % 0.44/0.67 (step @p139 :rule reordering :premises (@p138) :args ((or @t96 @t125 @t129 (not @t130)))) % 0.44/0.67 (step @p140 :rule chain_m_resolution :premises (@p139 @p92 @p137 @p133) :args (@t129 (@list false true false) (@list @t88 @t125 @t130))) % 0.44/0.67 (step @p141 :rule instantiate :premises (@p40) :args ((@list tptp.e_2 tptp.e_4 tptp.e_2 tptp.e_2))) % 0.44/0.67 (step @p142 :rule cnf_or_pos :args (@t133)) % 0.44/0.67 (step @p143 :rule reordering :premises (@p142) :args ((or @t33 @t132 @t46 (not @t133)))) % 0.44/0.67 (step @p144 :rule chain_m_resolution :premises (@p143 @p36 @p55 @p141) :args (@t132 @t43 (@list @t33 @t45 @t133))) % 0.44/0.67 (step @p145 :rule cnf_or_pos :args (@t135)) % 0.44/0.67 (step @p146 :rule reordering :premises (@p145) :args ((or @t74 @t89 @t131 @t128 @t122 @t134 (not @t135)))) % 0.44/0.67 (step @p147 :rule chain_m_resolution :premises (@p146 @p23 @p25 @p144 @p140 @p132 @p45) :args (@t134 @t79 (@list @t21 @t23 @t131 @t128 @t122 @t135))) % 0.44/0.67 (step @p148 :rule cnf_or_pos :args (@t137)) % 0.44/0.67 (step @p149 :rule reordering :premises (@p148) :args ((or @t29 @t136 @t39 @t138))) % 0.44/0.67 (step @p150 :rule chain_m_resolution :premises (@p149 @p31 @p147 @p44) :args (@t138 @t43 (@list @t29 @t134 @t38))) % 0.44/0.67 (assume-push @p157 @t36) % 0.44/0.67 (step @p152 :rule instantiate :premises (@p41) :args ((@list tptp.e_2 tptp.e_4 tptp.e_4 tptp.e_4))) % 0.44/0.67 (step-pop @p158 :rule scope :premises (@p152)) % 0.44/0.67 (step @p153 :rule process_scope :premises (@p158) :args (@t137)) % 0.44/0.67 (step @p155 :rule implies_elim :premises (@p153)) % 0.44/0.67 (step @p156 false :rule chain_m_resolution :premises (@p155 @p150 @p41) :args (false (@list true false) (@list @t137 @t36))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------