%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP124-7.004 : 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 : n013.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 08:19:51 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP124-7.004 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 00:52:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Unsatisfiable % 0.44/0.65 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.product2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.product1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.e_3 $$unsorted) % 0.44/0.66 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.next (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.e_1 $$unsorted) % 0.44/0.66 (declare-const tptp.e_4 $$unsorted) % 0.44/0.66 (declare-const tptp.e_2 $$unsorted) % 0.44/0.66 (define @t1 () (@var "X1" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "Y" $$unsorted)) % 0.44/0.66 (define @t3 () (@var "X" $$unsorted)) % 0.44/0.66 (define @t4 () (tptp.group_element tptp.e_1)) % 0.44/0.66 (define @t5 () (tptp.group_element tptp.e_2)) % 0.44/0.66 (define @t6 () (tptp.group_element tptp.e_3)) % 0.44/0.66 (define @t7 () (tptp.group_element tptp.e_4)) % 0.44/0.66 (define @t8 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.44/0.66 (define @t9 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.44/0.66 (define @t10 () (tptp.equalish tptp.e_1 tptp.e_4)) % 0.44/0.66 (define @t11 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.44/0.66 (define @t12 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.44/0.66 (define @t13 () (tptp.equalish tptp.e_2 tptp.e_4)) % 0.44/0.66 (define @t14 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.44/0.66 (define @t15 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.44/0.66 (define @t16 () (tptp.equalish tptp.e_3 tptp.e_4)) % 0.44/0.66 (define @t17 () (tptp.equalish tptp.e_4 tptp.e_3)) % 0.44/0.66 (define @t18 () (not (tptp.group_element @t2))) % 0.44/0.66 (define @t19 () (not (tptp.group_element @t3))) % 0.44/0.66 (define @t20 () (@list @t3 @t2)) % 0.44/0.66 (define @t21 () (@var "Z" $$unsorted)) % 0.44/0.66 (define @t22 () (@var "W" $$unsorted)) % 0.44/0.66 (define @t23 () (tptp.equalish @t22 @t21)) % 0.44/0.66 (define @t24 () (@list @t3 @t2 @t22 @t21)) % 0.44/0.66 (define @t25 () (@list @t3 @t22 @t2 @t21)) % 0.44/0.66 (define @t26 () (forall @t25 (or (not (tptp.product1 @t3 @t22 @t2)) (not (tptp.product1 @t3 @t21 @t2)) @t23))) % 0.44/0.66 (define @t27 () (@list @t22 @t2 @t3 @t21)) % 0.44/0.66 (define @t28 () (@list @t3)) % 0.44/0.66 (define @t29 () (@var "Z2" $$unsorted)) % 0.44/0.66 (define @t30 () (@var "Z1" $$unsorted)) % 0.44/0.66 (define @t31 () (tptp.product1 tptp.e_3 tptp.e_3 tptp.e_3)) % 0.44/0.66 (define @t32 () (not @t31)) % 0.44/0.66 (define @t33 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3)) % 0.44/0.66 (define @t34 () (not @t33)) % 0.44/0.66 (define @t35 () (or @t34 @t32 @t12)) % 0.44/0.66 (define @t36 () (@list true false false)) % 0.44/0.66 (define @t37 () (@list tptp.e_2)) % 0.44/0.66 (define @t38 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2)) % 0.44/0.66 (define @t39 () (not @t38)) % 0.44/0.66 (define @t40 () (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.44/0.66 (define @t41 () (not @t40)) % 0.44/0.66 (define @t42 () (or @t41 @t39 @t12)) % 0.44/0.66 (define @t43 () (tptp.product1 tptp.e_4 tptp.e_4 tptp.e_4)) % 0.44/0.66 (define @t44 () (not @t43)) % 0.44/0.66 (define @t45 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_4)) % 0.44/0.66 (define @t46 () (not @t45)) % 0.44/0.66 (define @t47 () (or @t46 @t44 @t13)) % 0.44/0.66 (define @t48 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_3)) % 0.44/0.66 (define @t49 () (not @t48)) % 0.44/0.66 (define @t50 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_3)) % 0.44/0.66 (define @t51 () (not @t50)) % 0.44/0.66 (define @t52 () (or @t51 @t49 @t11)) % 0.44/0.66 (define @t53 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3)) % 0.44/0.66 (define @t54 () (not @t53)) % 0.44/0.66 (define @t55 () (or @t54 @t51 @t10)) % 0.44/0.66 (define @t56 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_1)) % 0.44/0.66 (define @t57 () (not @t56)) % 0.44/0.66 (define @t58 () (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.44/0.66 (define @t59 () (not @t58)) % 0.44/0.66 (define @t60 () (or @t59 @t57 @t10)) % 0.44/0.66 (define @t61 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_4)) % 0.44/0.66 (define @t62 () (not @t61)) % 0.44/0.66 (define @t63 () (or @t62 @t44 @t10)) % 0.44/0.66 (define @t64 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_2)) % 0.44/0.66 (define @t65 () (not @t4)) % 0.44/0.66 (define @t66 () (not @t7)) % 0.44/0.66 (define @t67 () (or @t66 @t65 @t56 @t64 @t48 @t61)) % 0.44/0.66 (define @t68 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2)) % 0.44/0.66 (define @t69 () (not @t68)) % 0.44/0.66 (define @t70 () (or @t41 @t69 @t11)) % 0.44/0.66 (define @t71 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1)) % 0.44/0.66 (define @t72 () (not @t71)) % 0.44/0.66 (define @t73 () (or @t59 @t72 @t8)) % 0.44/0.66 (define @t74 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_4)) % 0.44/0.66 (define @t75 () (not @t5)) % 0.44/0.66 (define @t76 () (or @t65 @t75 @t71 @t68 @t53 @t74)) % 0.44/0.66 (define @t77 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.44/0.66 (define @t78 () (not @t77)) % 0.44/0.66 (define @t79 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_1)) % 0.44/0.66 (define @t80 () (not @t79)) % 0.44/0.66 (define @t81 () (or @t80 @t78 @t8)) % 0.44/0.66 (define @t82 () (not @t64)) % 0.44/0.66 (define @t83 () (not @t74)) % 0.44/0.66 (define @t84 () (or @t83 @t82 @t79)) % 0.44/0.66 (define @t85 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_2)) % 0.44/0.66 (define @t86 () (not @t85)) % 0.44/0.66 (define @t87 () (or @t41 @t86 @t13)) % 0.44/0.66 (define @t88 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_1)) % 0.44/0.66 (define @t89 () (or @t66 @t75 @t88 @t85 @t50 @t45)) % 0.44/0.66 (define @t90 () (@list false false true true true false)) % 0.44/0.66 (define @t91 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1)) % 0.44/0.66 (define @t92 () (not @t91)) % 0.44/0.66 (define @t93 () (not @t88)) % 0.44/0.66 (define @t94 () (or @t93 @t92 @t17)) % 0.44/0.66 (define @t95 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_4)) % 0.44/0.66 (define @t96 () (not @t6)) % 0.44/0.66 (define @t97 () (or @t96 @t75 @t91 @t38 @t33 @t95)) % 0.44/0.66 (define @t98 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_3)) % 0.44/0.66 (define @t99 () (not @t98)) % 0.44/0.66 (define @t100 () (or @t99 @t32 @t9)) % 0.44/0.66 (define @t101 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_4)) % 0.44/0.66 (define @t102 () (not @t101)) % 0.44/0.66 (define @t103 () (or @t44 @t102 @t17)) % 0.44/0.66 (define @t104 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_2)) % 0.44/0.66 (define @t105 () (not @t104)) % 0.44/0.66 (define @t106 () (or @t82 @t105 @t9)) % 0.44/0.66 (define @t107 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_3)) % 0.44/0.66 (define @t108 () (not @t107)) % 0.44/0.66 (define @t109 () (or @t108 @t78 @t15)) % 0.44/0.66 (define @t110 () (not @t95)) % 0.44/0.66 (define @t111 () (or @t110 @t105 @t107)) % 0.44/0.66 (define @t112 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_1)) % 0.44/0.66 (define @t113 () (not @t112)) % 0.44/0.66 (define @t114 () (or @t113 @t93 @t15)) % 0.44/0.66 (define @t115 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_3)) % 0.44/0.66 (define @t116 () (or @t66 @t96 @t112 @t104 @t115 @t101)) % 0.44/0.66 (define @t117 () (not @t115)) % 0.44/0.66 (define @t118 () (or @t117 @t49 @t14)) % 0.44/0.66 (define @t119 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_2)) % 0.44/0.66 (define @t120 () (not @t119)) % 0.44/0.66 (define @t121 () (or @t120 @t82 @t16)) % 0.44/0.66 (define @t122 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_1)) % 0.44/0.66 (define @t123 () (not @t122)) % 0.44/0.66 (define @t124 () (or @t59 @t123 @t9)) % 0.44/0.66 (define @t125 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_4)) % 0.44/0.66 (define @t126 () (or @t96 @t65 @t122 @t119 @t98 @t125)) % 0.44/0.66 (define @t127 () (not @t125)) % 0.44/0.66 (define @t128 () (or @t127 @t110 @t8)) % 0.44/0.66 (define @t129 () (not @t128)) % 0.44/0.66 (assume @p1 (tptp.next tptp.e_1 tptp.e_2)) % 0.44/0.66 (assume @p2 (tptp.next tptp.e_2 tptp.e_3)) % 0.44/0.66 (assume @p3 (tptp.next tptp.e_3 tptp.e_4)) % 0.44/0.66 (assume @p4 (tptp.greater tptp.e_2 tptp.e_1)) % 0.44/0.66 (assume @p5 (tptp.greater tptp.e_3 tptp.e_1)) % 0.44/0.66 (assume @p6 (tptp.greater tptp.e_4 tptp.e_1)) % 0.44/0.66 (assume @p7 (tptp.greater tptp.e_3 tptp.e_2)) % 0.44/0.66 (assume @p8 (tptp.greater tptp.e_4 tptp.e_2)) % 0.44/0.66 (assume @p9 (tptp.greater tptp.e_4 tptp.e_3)) % 0.44/0.66 (assume @p10 (forall (@list @t3 @t2 @t1) (or (not (tptp.product @t3 tptp.e_1 @t2)) (not (tptp.next @t3 @t1)) (not (tptp.greater @t2 @t1))))) % 0.44/0.66 (assume @p11 @t4) % 0.44/0.66 (assume @p12 @t5) % 0.44/0.66 (assume @p13 @t6) % 0.44/0.66 (assume @p14 @t7) % 0.44/0.66 (assume @p15 (not @t8)) % 0.44/0.66 (assume @p16 (not @t9)) % 0.44/0.66 (assume @p17 (not @t10)) % 0.44/0.66 (assume @p18 (not @t11)) % 0.44/0.66 (assume @p19 (not @t12)) % 0.44/0.66 (assume @p20 (not @t13)) % 0.44/0.66 (assume @p21 (not @t14)) % 0.44/0.66 (assume @p22 (not @t15)) % 0.44/0.66 (assume @p23 (not @t16)) % 0.44/0.66 (assume @p24 (not (tptp.equalish tptp.e_4 tptp.e_1))) % 0.44/0.66 (assume @p25 (not (tptp.equalish tptp.e_4 tptp.e_2))) % 0.44/0.66 (assume @p26 (not @t17)) % 0.44/0.66 (assume @p27 (forall @t20 (or @t19 @t18 (tptp.product1 @t3 @t2 tptp.e_1) (tptp.product1 @t3 @t2 tptp.e_2) (tptp.product1 @t3 @t2 tptp.e_3) (tptp.product1 @t3 @t2 tptp.e_4)))) % 0.44/0.66 (assume @p28 (forall @t24 (or (not (tptp.product1 @t3 @t2 @t22)) (not (tptp.product1 @t3 @t2 @t21)) @t23))) % 0.44/0.66 (assume @p29 @t26) % 0.44/0.66 (assume @p30 (forall @t27 (or (not (tptp.product1 @t22 @t2 @t3)) (not (tptp.product1 @t21 @t2 @t3)) @t23))) % 0.44/0.66 (assume @p31 (forall @t28 (tptp.product1 @t3 @t3 @t3))) % 0.44/0.66 (assume @p32 (forall @t20 (or @t19 @t18 (tptp.product2 @t3 @t2 tptp.e_1) (tptp.product2 @t3 @t2 tptp.e_2) (tptp.product2 @t3 @t2 tptp.e_3) (tptp.product2 @t3 @t2 tptp.e_4)))) % 0.44/0.66 (assume @p33 (forall @t24 (or (not (tptp.product2 @t3 @t2 @t22)) (not (tptp.product2 @t3 @t2 @t21)) @t23))) % 0.44/0.66 (assume @p34 (forall @t25 (or (not (tptp.product2 @t3 @t22 @t2)) (not (tptp.product2 @t3 @t21 @t2)) @t23))) % 0.44/0.66 (assume @p35 (forall @t27 (or (not (tptp.product2 @t22 @t2 @t3)) (not (tptp.product2 @t21 @t2 @t3)) @t23))) % 0.44/0.66 (assume @p36 (forall @t28 (tptp.product2 @t3 @t3 @t3))) % 0.44/0.66 (assume @p37 (forall (@list @t3 @t2 @t30 @t29) (or (not (tptp.product1 @t3 @t2 @t30)) (not (tptp.product1 @t30 @t3 @t29)) (tptp.product2 @t29 @t2 @t3)))) % 0.44/0.66 (step @p38 :rule instantiate :premises (@p27) :args ((@list tptp.e_3 tptp.e_2))) % 0.44/0.66 (step @p39 :rule instantiate :premises (@p29) :args ((@list tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_3))) % 0.44/0.66 (step @p40 :rule instantiate :premises (@p31) :args ((@list tptp.e_3))) % 0.44/0.66 (step @p41 :rule cnf_or_pos :args (@t35)) % 0.44/0.66 (step @p42 :rule reordering :premises (@p41) :args ((or @t12 @t34 @t32 (not @t35)))) % 0.44/0.66 (step @p43 :rule chain_m_resolution :premises (@p42 @p19 @p40 @p39) :args (@t34 @t36 (@list @t12 @t31 @t35))) % 0.44/0.66 (step @p44 :rule instantiate :premises (@p30) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.44/0.66 (step @p45 :rule instantiate :premises (@p31) :args (@t37)) % 0.44/0.66 (step @p46 :rule cnf_or_pos :args (@t42)) % 0.44/0.66 (step @p47 :rule reordering :premises (@p46) :args ((or @t12 @t41 @t39 (not @t42)))) % 0.44/0.66 (step @p48 :rule chain_m_resolution :premises (@p47 @p19 @p45 @p44) :args (@t39 @t36 (@list @t12 @t40 @t42))) % 0.44/0.66 (step @p49 :rule instantiate :premises (@p30) :args ((@list tptp.e_4 tptp.e_2 tptp.e_1 tptp.e_3))) % 0.44/0.66 (step @p50 :rule instantiate :premises (@p27) :args ((@list tptp.e_4 tptp.e_2))) % 0.44/0.66 (step @p51 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_2 tptp.e_4 tptp.e_4))) % 0.44/0.66 (step @p52 :rule instantiate :premises (@p31) :args ((@list tptp.e_4))) % 0.44/0.66 (step @p53 :rule cnf_or_pos :args (@t47)) % 0.44/0.66 (step @p54 :rule reordering :premises (@p53) :args ((or @t13 @t46 @t44 (not @t47)))) % 0.44/0.66 (step @p55 :rule chain_m_resolution :premises (@p54 @p20 @p52 @p51) :args (@t46 @t36 (@list @t13 @t43 @t47))) % 0.44/0.66 (step @p56 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.44/0.66 (step @p57 :rule cnf_or_pos :args (@t52)) % 0.44/0.66 (step @p58 :rule reordering :premises (@p57) :args ((or @t11 @t51 @t49 (not @t52)))) % 0.44/0.66 (step @p59 :rule instantiate :premises (@p30) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_4))) % 0.44/0.66 (step @p60 :rule cnf_or_pos :args (@t55)) % 0.44/0.66 (step @p61 :rule reordering :premises (@p60) :args ((or @t10 @t54 @t51 (not @t55)))) % 0.44/0.66 (step @p62 :rule instantiate :premises (@p27) :args ((@list tptp.e_4 tptp.e_1))) % 0.44/0.66 (step @p63 :rule instantiate :premises (@p30) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4))) % 0.44/0.66 (step @p64 :rule instantiate :premises (@p31) :args ((@list tptp.e_1))) % 0.44/0.66 (step @p65 :rule cnf_or_pos :args (@t60)) % 0.44/0.66 (step @p66 :rule reordering :premises (@p65) :args ((or @t10 @t59 @t57 (not @t60)))) % 0.44/0.66 (step @p67 :rule chain_m_resolution :premises (@p66 @p17 @p64 @p63) :args (@t57 @t36 (@list @t10 @t58 @t60))) % 0.44/0.66 (step @p68 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_1 tptp.e_4 tptp.e_4))) % 0.44/0.66 (step @p69 :rule cnf_or_pos :args (@t63)) % 0.44/0.66 (step @p70 :rule reordering :premises (@p69) :args ((or @t10 @t62 @t44 (not @t63)))) % 0.44/0.66 (step @p71 :rule chain_m_resolution :premises (@p70 @p17 @p52 @p68) :args (@t62 @t36 (@list @t10 @t43 @t63))) % 0.44/0.66 (step @p72 :rule cnf_or_pos :args (@t67)) % 0.44/0.66 (step @p73 :rule reordering :premises (@p72) :args ((or @t65 @t66 @t56 @t64 @t48 @t61 (not @t67)))) % 0.44/0.66 (step @p74 :rule instantiate :premises (@p27) :args ((@list tptp.e_1 tptp.e_2))) % 0.44/0.66 (step @p75 :rule instantiate :premises (@p30) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.44/0.66 (step @p76 :rule cnf_or_pos :args (@t70)) % 0.44/0.66 (step @p77 :rule reordering :premises (@p76) :args ((or @t11 @t69 @t41 (not @t70)))) % 0.44/0.66 (step @p78 :rule chain_m_resolution :premises (@p77 @p18 @p45 @p75) :args (@t69 @t36 (@list @t11 @t40 @t70))) % 0.44/0.66 (step @p79 :rule instantiate :premises (@p29) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.44/0.66 (step @p80 :rule cnf_or_pos :args (@t73)) % 0.44/0.66 (step @p81 :rule reordering :premises (@p80) :args ((or @t8 @t59 @t72 (not @t73)))) % 0.44/0.66 (step @p82 :rule chain_m_resolution :premises (@p81 @p15 @p64 @p79) :args (@t72 @t36 (@list @t8 @t58 @t73))) % 0.44/0.66 (step @p83 :rule cnf_or_pos :args (@t76)) % 0.44/0.66 (step @p84 :rule reordering :premises (@p83) :args ((or @t65 @t75 @t71 @t68 @t53 @t74 (not @t76)))) % 0.44/0.66 (step @p85 :rule instantiate :premises (@p33) :args ((@list tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.44/0.66 (step @p86 :rule instantiate :premises (@p36) :args (@t37)) % 0.44/0.66 (step @p87 :rule cnf_or_pos :args (@t81)) % 0.44/0.66 (step @p88 :rule reordering :premises (@p87) :args ((or @t8 @t78 @t80 (not @t81)))) % 0.44/0.66 (step @p89 :rule chain_m_resolution :premises (@p88 @p15 @p86 @p85) :args (@t80 @t36 (@list @t8 @t77 @t81))) % 0.44/0.66 (step @p90 :rule instantiate :premises (@p37) :args ((@list tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_2))) % 0.44/0.66 (step @p91 :rule cnf_or_pos :args (@t84)) % 0.44/0.66 (step @p92 :rule reordering :premises (@p91) :args ((or @t83 @t79 @t82 (not @t84)))) % 0.44/0.66 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89 @p84 @p82 @p78 @p74 @p12 @p11 @p73 @p71 @p67 @p62 @p14 @p11 @p61 @p59 @p17 @p58 @p56 @p18) :args (@t51 (@list false true false true true false false false false true true false false false true false true true false true) (@list @t84 @t79 @t74 @t71 @t68 @t76 @t5 @t4 @t64 @t61 @t56 @t67 @t7 @t4 @t53 @t55 @t10 @t48 @t52 @t11))) % 0.44/0.66 (step @p94 :rule instantiate :premises (@p30) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_4))) % 0.44/0.66 (step @p95 :rule cnf_or_pos :args (@t87)) % 0.44/0.66 (step @p96 :rule reordering :premises (@p95) :args ((or @t13 @t41 @t86 (not @t87)))) % 0.44/0.66 (step @p97 :rule chain_m_resolution :premises (@p96 @p20 @p45 @p94) :args (@t86 @t36 (@list @t13 @t40 @t87))) % 0.44/0.66 (step @p98 :rule cnf_or_pos :args (@t89)) % 0.44/0.66 (step @p99 :rule reordering :premises (@p98) :args ((or @t75 @t66 @t88 @t85 @t50 @t45 (not @t89)))) % 0.44/0.66 (step @p100 :rule chain_m_resolution :premises (@p99 @p12 @p14 @p97 @p93 @p55 @p50) :args (@t88 @t90 (@list @t5 @t7 @t85 @t50 @t45 @t89))) % 0.44/0.66 (step @p101 :rule cnf_or_pos :args (@t94)) % 0.44/0.66 (step @p102 :rule reordering :premises (@p101) :args ((or @t17 @t93 @t92 (not @t94)))) % 0.44/0.66 (step @p103 :rule chain_m_resolution :premises (@p102 @p26 @p100 @p49) :args (@t92 @t36 (@list @t17 @t88 @t94))) % 0.44/0.66 (step @p104 :rule cnf_or_pos :args (@t97)) % 0.44/0.66 (step @p105 :rule reordering :premises (@p104) :args ((or @t75 @t96 @t91 @t38 @t33 @t95 (not @t97)))) % 0.44/0.66 (step @p106 :rule chain_m_resolution :premises (@p105 @p12 @p13 @p103 @p48 @p43 @p38) :args (@t95 @t90 (@list @t5 @t6 @t91 @t38 @t33 @t97))) % 0.44/0.66 (step @p107 :rule instantiate :premises (@p27) :args ((@list tptp.e_3 tptp.e_1))) % 0.44/0.66 (step @p108 :rule instantiate :premises (@p29) :args ((@list tptp.e_3 tptp.e_1 tptp.e_3 tptp.e_3))) % 0.44/0.66 (step @p109 :rule cnf_or_pos :args (@t100)) % 0.44/0.66 (step @p110 :rule reordering :premises (@p109) :args ((or @t9 @t99 @t32 (not @t100)))) % 0.44/0.66 (step @p111 :rule chain_m_resolution :premises (@p110 @p16 @p40 @p108) :args (@t99 @t36 (@list @t9 @t31 @t100))) % 0.44/0.66 (step @p112 :rule instantiate :premises (@p30) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_4))) % 0.44/0.66 (step @p113 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_3 tptp.e_3 tptp.e_1))) % 0.44/0.66 (step @p114 :rule instantiate :premises (@p27) :args ((@list tptp.e_4 tptp.e_3))) % 0.44/0.66 (step @p115 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_3))) % 0.44/0.66 (step @p116 :rule cnf_or_pos :args (@t103)) % 0.44/0.66 (step @p117 :rule reordering :premises (@p116) :args ((or @t17 @t44 @t102 (not @t103)))) % 0.44/0.66 (step @p118 :rule chain_m_resolution :premises (@p117 @p26 @p52 @p115) :args (@t102 @t36 (@list @t17 @t43 @t103))) % 0.44/0.66 (step @p119 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_3))) % 0.44/0.66 (step @p120 :rule cnf_or_pos :args (@t106)) % 0.44/0.66 (step @p121 :rule reordering :premises (@p120) :args ((or @t9 @t82 @t105 (not @t106)))) % 0.44/0.66 (step @p122 :rule instantiate :premises (@p33) :args ((@list tptp.e_2 tptp.e_2 tptp.e_3 tptp.e_2))) % 0.44/0.66 (step @p123 :rule cnf_or_pos :args (@t109)) % 0.44/0.66 (step @p124 :rule reordering :premises (@p123) :args ((or @t15 @t78 @t108 (not @t109)))) % 0.44/0.66 (step @p125 :rule chain_m_resolution :premises (@p124 @p22 @p86 @p122) :args (@t108 @t36 (@list @t15 @t77 @t109))) % 0.44/0.66 (step @p126 :rule instantiate :premises (@p37) :args ((@list tptp.e_3 tptp.e_2 tptp.e_4 tptp.e_2))) % 0.44/0.66 (step @p127 :rule cnf_or_pos :args (@t111)) % 0.44/0.66 (step @p128 :rule reordering :premises (@p127) :args ((or @t107 @t110 @t105 (not @t111)))) % 0.44/0.66 (step @p129 :rule chain_m_resolution :premises (@p99 @p97 @p55 @p50 @p14 @p12 @p102 @p49 @p26 @p58 @p56 @p18 @p105 @p48 @p43 @p38 @p13 @p12 @p73 @p71 @p67 @p62 @p14 @p11 @p128 @p126 @p125 @p121 @p119 @p16) :args (@t105 (@list true true false false false true false true true false true false true true false false false false true true false false false true false true true false true) (@list @t85 @t45 @t89 @t7 @t5 @t88 @t94 @t17 @t50 @t52 @t11 @t91 @t38 @t33 @t97 @t6 @t5 @t48 @t61 @t56 @t67 @t7 @t4 @t95 @t111 @t107 @t64 @t106 @t9))) % 0.44/0.66 (step @p130 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_3 tptp.e_1 tptp.e_2))) % 0.44/0.66 (step @p131 :rule cnf_or_pos :args (@t114)) % 0.44/0.66 (step @p132 :rule reordering :premises (@p131) :args ((or @t15 @t93 @t113 (not @t114)))) % 0.44/0.66 (step @p133 :rule chain_m_resolution :premises (@p132 @p22 @p100 @p130) :args (@t113 @t36 (@list @t15 @t88 @t114))) % 0.44/0.66 (step @p134 :rule cnf_or_pos :args (@t116)) % 0.44/0.66 (step @p135 :rule reordering :premises (@p134) :args ((or @t96 @t66 @t112 @t104 @t115 @t101 (not @t116)))) % 0.44/0.66 (step @p136 :rule chain_m_resolution :premises (@p135 @p13 @p14 @p133 @p129 @p118 @p114) :args (@t115 @t90 (@list @t6 @t7 @t112 @t104 @t101 @t116))) % 0.44/0.66 (step @p137 :rule cnf_or_pos :args (@t118)) % 0.44/0.66 (step @p138 :rule reordering :premises (@p137) :args ((or @t14 @t49 @t117 (not @t118)))) % 0.44/0.66 (step @p139 :rule chain_m_resolution :premises (@p138 @p21 @p136 @p113) :args (@t49 @t36 (@list @t14 @t115 @t118))) % 0.44/0.66 (step @p140 :rule chain_m_resolution :premises (@p73 @p11 @p14 @p67 @p139 @p71 @p62) :args (@t64 @t90 (@list @t4 @t7 @t56 @t48 @t61 @t67))) % 0.44/0.66 (step @p141 :rule cnf_or_pos :args (@t121)) % 0.44/0.66 (step @p142 :rule reordering :premises (@p141) :args ((or @t16 @t120 @t82 (not @t121)))) % 0.44/0.66 (step @p143 :rule chain_m_resolution :premises (@p142 @p23 @p140 @p112) :args (@t120 @t36 (@list @t16 @t64 @t121))) % 0.44/0.66 (step @p144 :rule instantiate :premises (@p30) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.44/0.66 (step @p145 :rule cnf_or_pos :args (@t124)) % 0.44/0.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t9 @t59 @t123 (not @t124)))) % 0.44/0.66 (step @p147 :rule chain_m_resolution :premises (@p146 @p16 @p64 @p144) :args (@t123 @t36 (@list @t9 @t58 @t124))) % 0.44/0.66 (step @p148 :rule cnf_or_pos :args (@t126)) % 0.44/0.66 (step @p149 :rule reordering :premises (@p148) :args ((or @t65 @t96 @t122 @t119 @t98 @t125 (not @t126)))) % 0.44/0.66 (step @p150 :rule chain_m_resolution :premises (@p149 @p11 @p13 @p147 @p143 @p111 @p107) :args (@t125 @t90 (@list @t4 @t6 @t122 @t119 @t98 @t126))) % 0.44/0.66 (step @p151 :rule cnf_or_pos :args (@t128)) % 0.44/0.66 (step @p152 :rule reordering :premises (@p151) :args ((or @t8 @t127 @t110 @t129))) % 0.44/0.66 (step @p153 :rule chain_m_resolution :premises (@p152 @p15 @p150 @p106) :args (@t129 @t36 (@list @t8 @t125 @t95))) % 0.44/0.66 (assume-push @p160 @t26) % 0.44/0.66 (step @p155 :rule instantiate :premises (@p29) :args ((@list tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_2))) % 0.44/0.66 (step-pop @p161 :rule scope :premises (@p155)) % 0.44/0.66 (step @p156 :rule process_scope :premises (@p161) :args (@t128)) % 0.44/0.66 (step @p158 :rule implies_elim :premises (@p156)) % 0.44/0.66 (step @p159 false :rule chain_m_resolution :premises (@p158 @p153 @p29) :args (false (@list true false) (@list @t128 @t26))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------