%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP124-4.004 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP124-4.004 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n017.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 00:50:46 EDT 2026 % 0.17/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Unsatisfiable % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.e_1 $$unsorted) % 0.45/0.66 (declare-const tptp.e_2 $$unsorted) % 0.45/0.66 (declare-const tptp.e_3 $$unsorted) % 0.45/0.66 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.e_4 $$unsorted) % 0.45/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t3 () (not (tptp.group_element @t1))) % 0.45/0.66 (define @t4 () (not (tptp.group_element @t2))) % 0.45/0.66 (define @t5 () (@list @t2 @t1)) % 0.45/0.66 (define @t6 () (tptp.group_element tptp.e_1)) % 0.45/0.66 (define @t7 () (tptp.group_element tptp.e_2)) % 0.45/0.66 (define @t8 () (tptp.group_element tptp.e_3)) % 0.45/0.66 (define @t9 () (tptp.group_element tptp.e_4)) % 0.45/0.66 (define @t10 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t11 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.45/0.66 (define @t12 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t13 () (tptp.equalish tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t14 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.45/0.66 (define @t15 () (tptp.equalish tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t16 () (tptp.equalish tptp.e_4 tptp.e_2)) % 0.45/0.66 (define @t17 () (tptp.equalish tptp.e_4 tptp.e_3)) % 0.45/0.66 (define @t18 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t19 () (@var "W" $$unsorted)) % 0.45/0.66 (define @t20 () (tptp.equalish @t19 @t18)) % 0.45/0.66 (define @t21 () (forall (@list @t2 @t1 @t19 @t18) (or (not (tptp.product @t2 @t1 @t19)) (not (tptp.product @t2 @t1 @t18)) @t20))) % 0.45/0.66 (define @t22 () (@var "X2" $$unsorted)) % 0.45/0.66 (define @t23 () (@var "X1" $$unsorted)) % 0.45/0.66 (define @t24 () (@var "Y2" $$unsorted)) % 0.45/0.66 (define @t25 () (@var "Z2" $$unsorted)) % 0.45/0.66 (define @t26 () (not (tptp.product @t25 @t22 @t24))) % 0.45/0.66 (define @t27 () (@var "Y1" $$unsorted)) % 0.45/0.66 (define @t28 () (not (tptp.product @t25 @t23 @t27))) % 0.45/0.66 (define @t29 () (@var "Z1" $$unsorted)) % 0.45/0.66 (define @t30 () (not (tptp.product @t22 @t24 @t29))) % 0.45/0.66 (define @t31 () (not (tptp.product @t23 @t27 @t29))) % 0.45/0.66 (define @t32 () (@list @t23 @t27 @t29 @t22 @t24 @t25)) % 0.45/0.66 (define @t33 () (@list tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t34 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_4)) % 0.45/0.66 (define @t35 () (not @t34)) % 0.45/0.66 (define @t36 () (tptp.product tptp.e_4 tptp.e_4 tptp.e_4)) % 0.45/0.66 (define @t37 () (not @t36)) % 0.45/0.66 (define @t38 () (or @t37 @t35 @t16)) % 0.45/0.66 (define @t39 () (@list true false false)) % 0.45/0.66 (define @t40 () (tptp.product tptp.e_4 tptp.e_4 tptp.e_3)) % 0.45/0.66 (define @t41 () (not @t40)) % 0.45/0.66 (define @t42 () (or @t41 @t37 @t15)) % 0.45/0.66 (define @t43 () (@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t44 () (tptp.product tptp.e_4 tptp.e_3 tptp.e_3)) % 0.45/0.66 (define @t45 () (not @t44)) % 0.45/0.66 (define @t46 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.45/0.66 (define @t47 () (not @t46)) % 0.45/0.66 (define @t48 () (or @t47 @t45 @t15)) % 0.45/0.66 (define @t49 () (@list tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t50 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.45/0.66 (define @t51 () (not @t50)) % 0.45/0.66 (define @t52 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_2)) % 0.45/0.66 (define @t53 () (not @t52)) % 0.45/0.66 (define @t54 () (or @t53 @t51 @t16)) % 0.45/0.66 (define @t55 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.45/0.66 (define @t56 () (not @t55)) % 0.45/0.66 (define @t57 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t58 () (not @t57)) % 0.45/0.66 (define @t59 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_1)) % 0.45/0.66 (define @t60 () (not @t59)) % 0.45/0.66 (define @t61 () (or @t60 @t56 @t58 @t56 @t11)) % 0.45/0.66 (define @t62 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t63 () (not @t62)) % 0.45/0.66 (define @t64 () (or @t51 @t63 @t51 @t60 @t13)) % 0.45/0.66 (define @t65 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.45/0.66 (define @t66 () (not @t65)) % 0.45/0.66 (define @t67 () (or @t66 @t51 @t10)) % 0.45/0.66 (define @t68 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t69 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.45/0.66 (define @t70 () (not @t69)) % 0.45/0.66 (define @t71 () (or @t56 @t70 @t10)) % 0.45/0.66 (define @t72 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t73 () (not @t7)) % 0.45/0.66 (define @t74 () (not @t6)) % 0.45/0.66 (define @t75 () (or @t74 @t73 @t69 @t65 @t72 @t57)) % 0.45/0.66 (define @t76 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t77 () (not @t76)) % 0.45/0.66 (define @t78 () (or @t56 @t77 @t10)) % 0.45/0.66 (define @t79 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t80 () (not @t79)) % 0.45/0.66 (define @t81 () (or @t80 @t51 @t10)) % 0.45/0.66 (define @t82 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t83 () (or @t74 @t73 @t76 @t79 @t82 @t62)) % 0.45/0.66 (define @t84 () (not @t82)) % 0.45/0.66 (define @t85 () (not @t72)) % 0.45/0.66 (define @t86 () (or @t47 @t85 @t47 @t84 @t14)) % 0.45/0.66 (define @t87 () (tptp.product tptp.e_2 tptp.e_4 tptp.e_3)) % 0.45/0.66 (define @t88 () (not @t9)) % 0.45/0.66 (define @t89 () (or @t73 @t88 @t59 @t52 @t87 @t34)) % 0.45/0.66 (define @t90 () (@list false false true true true false)) % 0.45/0.66 (define @t91 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t92 () (not @t91)) % 0.45/0.66 (define @t93 () (not @t87)) % 0.45/0.66 (define @t94 () (or @t47 @t93 @t47 @t92 @t14)) % 0.45/0.66 (define @t95 () (@list true false false false)) % 0.45/0.66 (define @t96 () (tptp.product tptp.e_3 tptp.e_4 tptp.e_4)) % 0.45/0.66 (define @t97 () (not @t96)) % 0.45/0.66 (define @t98 () (or @t37 @t97 @t17)) % 0.45/0.66 (define @t99 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t100 () (not @t99)) % 0.45/0.66 (define @t101 () (or @t47 @t100 @t15)) % 0.45/0.66 (define @t102 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_4)) % 0.45/0.66 (define @t103 () (not @t8)) % 0.45/0.66 (define @t104 () (or @t103 @t88 @t102 @t91 @t99 @t96)) % 0.45/0.66 (define @t105 () (not @t102)) % 0.45/0.66 (define @t106 () (or @t84 @t105 @t13)) % 0.45/0.66 (define @t107 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_3)) % 0.45/0.66 (define @t108 () (not @t107)) % 0.45/0.66 (define @t109 () (or @t63 @t108 @t12)) % 0.45/0.66 (define @t110 () (tptp.product tptp.e_4 tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t111 () (or @t88 @t103 @t107 @t110 @t44 @t40)) % 0.45/0.66 (define @t112 () (not @t110)) % 0.45/0.66 (define @t113 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t114 () (not @t113)) % 0.45/0.66 (define @t115 () (or @t114 @t37 @t112 @t37 @t13)) % 0.45/0.66 (define @t116 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_4)) % 0.45/0.66 (define @t117 () (not @t116)) % 0.45/0.66 (define @t118 () (or @t105 @t117 @t14)) % 0.45/0.66 (define @t119 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t120 () (or @t73 @t88 @t116 @t119 @t113 @t34)) % 0.45/0.66 (define @t121 () (not @t119)) % 0.45/0.66 (define @t122 () (or @t121 @t51 @t16)) % 0.45/0.66 (define @t123 () (not @t122)) % 0.45/0.66 (assume @p1 (forall @t5 (or @t4 @t3 (tptp.product tptp.e_1 @t2 @t1) (tptp.product tptp.e_2 @t2 @t1) (tptp.product tptp.e_3 @t2 @t1) (tptp.product tptp.e_4 @t2 @t1)))) % 0.45/0.66 (assume @p2 (forall @t5 (or @t4 @t3 (tptp.product @t2 tptp.e_1 @t1) (tptp.product @t2 tptp.e_2 @t1) (tptp.product @t2 tptp.e_3 @t1) (tptp.product @t2 tptp.e_4 @t1)))) % 0.45/0.66 (assume @p3 @t6) % 0.45/0.66 (assume @p4 @t7) % 0.45/0.66 (assume @p5 @t8) % 0.45/0.66 (assume @p6 @t9) % 0.45/0.66 (assume @p7 (not @t10)) % 0.45/0.66 (assume @p8 (not (tptp.equalish tptp.e_1 tptp.e_3))) % 0.45/0.66 (assume @p9 (not (tptp.equalish tptp.e_1 tptp.e_4))) % 0.45/0.66 (assume @p10 (not @t11)) % 0.45/0.66 (assume @p11 (not @t12)) % 0.45/0.66 (assume @p12 (not @t13)) % 0.45/0.66 (assume @p13 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.45/0.66 (assume @p14 (not @t14)) % 0.45/0.66 (assume @p15 (not @t15)) % 0.45/0.66 (assume @p16 (not (tptp.equalish tptp.e_4 tptp.e_1))) % 0.45/0.66 (assume @p17 (not @t16)) % 0.45/0.66 (assume @p18 (not @t17)) % 0.45/0.66 (assume @p19 (forall @t5 (or @t4 @t3 (tptp.product @t2 @t1 tptp.e_1) (tptp.product @t2 @t1 tptp.e_2) (tptp.product @t2 @t1 tptp.e_3) (tptp.product @t2 @t1 tptp.e_4)))) % 0.45/0.66 (assume @p20 @t21) % 0.45/0.66 (assume @p21 (forall (@list @t2 @t19 @t1 @t18) (or (not (tptp.product @t2 @t19 @t1)) (not (tptp.product @t2 @t18 @t1)) @t20))) % 0.45/0.66 (assume @p22 (forall (@list @t19 @t1 @t2 @t18) (or (not (tptp.product @t19 @t1 @t2)) (not (tptp.product @t18 @t1 @t2)) @t20))) % 0.45/0.66 (assume @p23 (forall (@list @t2) (tptp.product @t2 @t2 @t2))) % 0.45/0.66 (assume @p24 (forall @t32 (or @t31 @t30 @t28 @t26 (tptp.equalish @t23 @t22)))) % 0.45/0.66 (assume @p25 (forall @t32 (or @t31 @t30 @t28 @t26 (tptp.equalish @t27 @t24)))) % 0.45/0.66 (step @p26 :rule instantiate :premises (@p2) :args (@t33)) % 0.45/0.66 (step @p27 :rule instantiate :premises (@p22) :args ((@list tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_2))) % 0.45/0.66 (step @p28 :rule instantiate :premises (@p23) :args ((@list tptp.e_4))) % 0.45/0.66 (step @p29 :rule cnf_or_pos :args (@t38)) % 0.45/0.66 (step @p30 :rule reordering :premises (@p29) :args ((or @t16 @t35 @t37 (not @t38)))) % 0.45/0.66 (step @p31 :rule chain_m_resolution :premises (@p30 @p17 @p28 @p27) :args (@t35 @t39 (@list @t16 @t36 @t38))) % 0.45/0.66 (step @p32 :rule instantiate :premises (@p24) :args ((@list tptp.e_2 tptp.e_3 tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_4))) % 0.45/0.66 (step @p33 :rule instantiate :premises (@p2) :args ((@list tptp.e_4 tptp.e_3))) % 0.45/0.66 (step @p34 :rule instantiate :premises (@p20) :args ((@list tptp.e_4 tptp.e_4 tptp.e_3 tptp.e_4))) % 0.45/0.66 (step @p35 :rule cnf_or_pos :args (@t42)) % 0.45/0.66 (step @p36 :rule reordering :premises (@p35) :args ((or @t15 @t41 @t37 (not @t42)))) % 0.45/0.66 (step @p37 :rule chain_m_resolution :premises (@p36 @p15 @p28 @p34) :args (@t41 @t39 (@list @t15 @t36 @t42))) % 0.45/0.66 (step @p38 :rule instantiate :premises (@p22) :args (@t43)) % 0.45/0.66 (step @p39 :rule instantiate :premises (@p23) :args ((@list tptp.e_3))) % 0.45/0.66 (step @p40 :rule cnf_or_pos :args (@t48)) % 0.45/0.66 (step @p41 :rule reordering :premises (@p40) :args ((or @t15 @t47 @t45 (not @t48)))) % 0.45/0.66 (step @p42 :rule chain_m_resolution :premises (@p41 @p15 @p39 @p38) :args (@t45 @t39 (@list @t15 @t46 @t48))) % 0.45/0.66 (step @p43 :rule instantiate :premises (@p20) :args ((@list tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_3))) % 0.45/0.66 (step @p44 :rule instantiate :premises (@p1) :args (@t49)) % 0.45/0.66 (step @p45 :rule instantiate :premises (@p20) :args ((@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_4))) % 0.45/0.66 (step @p46 :rule instantiate :premises (@p2) :args ((@list tptp.e_3 tptp.e_4))) % 0.45/0.66 (step @p47 :rule instantiate :premises (@p24) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2 tptp.e_4 tptp.e_3))) % 0.45/0.66 (step @p48 :rule instantiate :premises (@p19) :args (@t33)) % 0.45/0.66 (step @p49 :rule instantiate :premises (@p21) :args ((@list tptp.e_2 tptp.e_4 tptp.e_2 tptp.e_2))) % 0.45/0.66 (step @p50 :rule instantiate :premises (@p23) :args ((@list tptp.e_2))) % 0.45/0.66 (step @p51 :rule cnf_or_pos :args (@t54)) % 0.45/0.66 (step @p52 :rule reordering :premises (@p51) :args ((or @t16 @t51 @t53 (not @t54)))) % 0.45/0.66 (step @p53 :rule chain_m_resolution :premises (@p52 @p17 @p50 @p49) :args (@t53 @t39 (@list @t16 @t50 @t54))) % 0.45/0.66 (step @p54 :rule instantiate :premises (@p23) :args ((@list tptp.e_1))) % 0.45/0.66 (step @p55 :rule instantiate :premises (@p24) :args ((@list tptp.e_2 tptp.e_4 tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.45/0.66 (step @p56 :rule cnf_or_pos :args (@t61)) % 0.45/0.66 (step @p57 :rule factoring :premises (@p56)) % 0.45/0.66 (step @p58 :rule reordering :premises (@p57) :args ((or @t11 @t56 @t60 @t58 (not @t61)))) % 0.45/0.66 (step @p59 :rule instantiate :premises (@p24) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_4 tptp.e_1 tptp.e_2))) % 0.45/0.66 (step @p60 :rule cnf_or_pos :args (@t64)) % 0.45/0.66 (step @p61 :rule factoring :premises (@p60)) % 0.45/0.66 (step @p62 :rule reordering :premises (@p61) :args ((or @t13 @t63 @t60 @t51 (not @t64)))) % 0.45/0.66 (step @p63 :rule instantiate :premises (@p22) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.45/0.66 (step @p64 :rule cnf_or_pos :args (@t67)) % 0.45/0.66 (step @p65 :rule reordering :premises (@p64) :args ((or @t10 @t66 @t51 (not @t67)))) % 0.45/0.66 (step @p66 :rule chain_m_resolution :premises (@p65 @p7 @p50 @p63) :args (@t66 @t39 (@list @t10 @t50 @t67))) % 0.45/0.66 (step @p67 :rule instantiate :premises (@p19) :args (@t49)) % 0.45/0.66 (step @p68 :rule instantiate :premises (@p21) :args (@t68)) % 0.45/0.66 (step @p69 :rule cnf_or_pos :args (@t71)) % 0.45/0.66 (step @p70 :rule reordering :premises (@p69) :args ((or @t10 @t56 @t70 (not @t71)))) % 0.45/0.66 (step @p71 :rule chain_m_resolution :premises (@p70 @p7 @p54 @p68) :args (@t70 @t39 (@list @t10 @t55 @t71))) % 0.45/0.66 (step @p72 :rule cnf_or_pos :args (@t75)) % 0.45/0.66 (step @p73 :rule reordering :premises (@p72) :args ((or @t74 @t73 @t69 @t65 @t72 @t57 (not @t75)))) % 0.45/0.66 (step @p74 :rule instantiate :premises (@p20) :args (@t68)) % 0.45/0.66 (step @p75 :rule cnf_or_pos :args (@t78)) % 0.45/0.66 (step @p76 :rule reordering :premises (@p75) :args ((or @t10 @t56 @t77 (not @t78)))) % 0.45/0.66 (step @p77 :rule chain_m_resolution :premises (@p76 @p7 @p54 @p74) :args (@t77 @t39 (@list @t10 @t55 @t78))) % 0.45/0.66 (step @p78 :rule instantiate :premises (@p21) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.45/0.66 (step @p79 :rule cnf_or_pos :args (@t81)) % 0.45/0.66 (step @p80 :rule reordering :premises (@p79) :args ((or @t10 @t80 @t51 (not @t81)))) % 0.45/0.66 (step @p81 :rule chain_m_resolution :premises (@p80 @p7 @p50 @p78) :args (@t80 @t39 (@list @t10 @t50 @t81))) % 0.45/0.66 (step @p82 :rule cnf_or_pos :args (@t83)) % 0.45/0.66 (step @p83 :rule reordering :premises (@p82) :args ((or @t74 @t73 @t76 @t79 @t82 @t62 (not @t83)))) % 0.45/0.66 (step @p84 :rule instantiate :premises (@p25) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_3))) % 0.45/0.66 (step @p85 :rule cnf_or_pos :args (@t86)) % 0.45/0.66 (step @p86 :rule factoring :premises (@p85)) % 0.45/0.66 (step @p87 :rule reordering :premises (@p86) :args ((or @t14 @t84 @t85 @t47 (not @t86)))) % 0.45/0.66 (step @p88 :rule chain_m_resolution :premises (@p87 @p84 @p39 @p14 @p83 @p81 @p44 @p77 @p4 @p3 @p73 @p71 @p67 @p66 @p4 @p3 @p62 @p59 @p50 @p12 @p58 @p55 @p54 @p10) :args (@t60 (@list false false true false true false true false false false true false true false false true false false true true false false true) (@list @t86 @t46 @t14 @t82 @t79 @t83 @t76 @t7 @t6 @t72 @t69 @t75 @t65 @t7 @t6 @t62 @t64 @t50 @t13 @t57 @t61 @t55 @t11))) % 0.45/0.66 (step @p89 :rule cnf_or_pos :args (@t89)) % 0.45/0.66 (step @p90 :rule reordering :premises (@p89) :args ((or @t73 @t88 @t59 @t87 @t34 @t52 (not @t89)))) % 0.45/0.66 (step @p91 :rule chain_m_resolution :premises (@p90 @p4 @p6 @p88 @p31 @p53 @p48) :args (@t87 @t90 (@list @t7 @t9 @t59 @t34 @t52 @t89))) % 0.45/0.66 (step @p92 :rule cnf_or_pos :args (@t94)) % 0.45/0.66 (step @p93 :rule factoring :premises (@p92)) % 0.45/0.66 (step @p94 :rule reordering :premises (@p93) :args ((or @t14 @t47 @t93 @t92 (not @t94)))) % 0.45/0.66 (step @p95 :rule chain_m_resolution :premises (@p94 @p14 @p39 @p91 @p47) :args (@t92 @t95 (@list @t14 @t46 @t87 @t94))) % 0.45/0.66 (step @p96 :rule instantiate :premises (@p22) :args ((@list tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_3))) % 0.45/0.66 (step @p97 :rule cnf_or_pos :args (@t98)) % 0.45/0.66 (step @p98 :rule reordering :premises (@p97) :args ((or @t17 @t97 @t37 (not @t98)))) % 0.45/0.66 (step @p99 :rule chain_m_resolution :premises (@p98 @p18 @p28 @p96) :args (@t97 @t39 (@list @t17 @t36 @t98))) % 0.45/0.66 (step @p100 :rule instantiate :premises (@p20) :args (@t43)) % 0.45/0.66 (step @p101 :rule cnf_or_pos :args (@t101)) % 0.45/0.66 (step @p102 :rule reordering :premises (@p101) :args ((or @t15 @t47 @t100 (not @t101)))) % 0.45/0.66 (step @p103 :rule chain_m_resolution :premises (@p102 @p15 @p39 @p100) :args (@t100 @t39 (@list @t15 @t46 @t101))) % 0.45/0.66 (step @p104 :rule cnf_or_pos :args (@t104)) % 0.45/0.66 (step @p105 :rule reordering :premises (@p104) :args ((or @t103 @t88 @t102 @t99 @t96 @t91 (not @t104)))) % 0.45/0.66 (step @p106 :rule chain_m_resolution :premises (@p105 @p5 @p6 @p103 @p99 @p95 @p46) :args (@t102 @t90 (@list @t8 @t9 @t99 @t96 @t91 @t104))) % 0.45/0.66 (step @p107 :rule cnf_or_pos :args (@t106)) % 0.45/0.66 (step @p108 :rule reordering :premises (@p107) :args ((or @t13 @t84 @t105 (not @t106)))) % 0.45/0.66 (step @p109 :rule chain_m_resolution :premises (@p108 @p12 @p106 @p45) :args (@t84 @t39 (@list @t13 @t102 @t106))) % 0.45/0.66 (step @p110 :rule chain_m_resolution :premises (@p83 @p3 @p4 @p77 @p81 @p109 @p44) :args (@t62 @t90 (@list @t6 @t7 @t76 @t79 @t82 @t83))) % 0.45/0.66 (step @p111 :rule cnf_or_pos :args (@t109)) % 0.45/0.66 (step @p112 :rule reordering :premises (@p111) :args ((or @t12 @t63 @t108 (not @t109)))) % 0.45/0.66 (step @p113 :rule chain_m_resolution :premises (@p112 @p11 @p110 @p43) :args (@t108 @t39 (@list @t12 @t62 @t109))) % 0.45/0.66 (step @p114 :rule cnf_or_pos :args (@t111)) % 0.45/0.66 (step @p115 :rule reordering :premises (@p114) :args ((or @t103 @t88 @t107 @t44 @t40 @t110 (not @t111)))) % 0.45/0.66 (step @p116 :rule chain_m_resolution :premises (@p115 @p5 @p6 @p113 @p42 @p37 @p33) :args (@t110 @t90 (@list @t8 @t9 @t107 @t44 @t40 @t111))) % 0.45/0.66 (step @p117 :rule cnf_or_pos :args (@t115)) % 0.45/0.66 (step @p118 :rule factoring :premises (@p117)) % 0.45/0.66 (step @p119 :rule reordering :premises (@p118) :args ((or @t13 @t114 @t37 @t112 (not @t115)))) % 0.45/0.66 (step @p120 :rule chain_m_resolution :premises (@p119 @p12 @p28 @p116 @p32) :args (@t114 @t95 (@list @t13 @t36 @t110 @t115))) % 0.45/0.66 (step @p121 :rule instantiate :premises (@p22) :args ((@list tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_2))) % 0.45/0.66 (step @p122 :rule cnf_or_pos :args (@t118)) % 0.45/0.66 (step @p123 :rule reordering :premises (@p122) :args ((or @t14 @t117 @t105 (not @t118)))) % 0.45/0.66 (step @p124 :rule chain_m_resolution :premises (@p123 @p14 @p106 @p121) :args (@t117 @t39 (@list @t14 @t102 @t118))) % 0.45/0.66 (step @p125 :rule cnf_or_pos :args (@t120)) % 0.45/0.66 (step @p126 :rule reordering :premises (@p125) :args ((or @t73 @t88 @t116 @t113 @t34 @t119 (not @t120)))) % 0.45/0.66 (step @p127 :rule chain_m_resolution :premises (@p126 @p4 @p6 @p124 @p120 @p31 @p26) :args (@t119 @t90 (@list @t7 @t9 @t116 @t113 @t34 @t120))) % 0.45/0.66 (step @p128 :rule cnf_or_pos :args (@t122)) % 0.45/0.66 (step @p129 :rule reordering :premises (@p128) :args ((or @t16 @t51 @t121 @t123))) % 0.45/0.66 (step @p130 :rule chain_m_resolution :premises (@p129 @p17 @p50 @p127) :args (@t123 @t39 (@list @t16 @t50 @t119))) % 0.45/0.66 (assume-push @p137 @t21) % 0.45/0.66 (step @p132 :rule instantiate :premises (@p20) :args ((@list tptp.e_2 tptp.e_2 tptp.e_4 tptp.e_2))) % 0.45/0.66 (step-pop @p138 :rule scope :premises (@p132)) % 0.45/0.66 (step @p133 :rule process_scope :premises (@p138) :args (@t122)) % 0.45/0.66 (step @p135 :rule implies_elim :premises (@p133)) % 0.45/0.66 (step @p136 false :rule chain_m_resolution :premises (@p135 @p130 @p20) :args (false (@list true false) (@list @t122 @t21))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------