%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP130-1.003 : 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 : n011.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 08:19:56 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP130-1.003 : TPTP v9.2.1. Released v1.2.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n011.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 00:53:05 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Unsatisfiable % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.e_2 $$unsorted) % 0.36/0.57 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.e_3 $$unsorted) % 0.36/0.57 (declare-const tptp.e_1 $$unsorted) % 0.36/0.57 (define @t1 () (tptp.group_element tptp.e_1)) % 0.36/0.57 (define @t2 () (tptp.group_element tptp.e_2)) % 0.36/0.57 (define @t3 () (tptp.group_element tptp.e_3)) % 0.36/0.57 (define @t4 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t5 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.36/0.57 (define @t6 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.36/0.57 (define @t7 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.36/0.57 (define @t8 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.36/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t11 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.57 (define @t13 () (tptp.equalish @t12 @t11)) % 0.36/0.57 (define @t14 () (forall (@list @t10 @t12 @t9 @t11) (or (not (tptp.product @t10 @t12 @t9)) (not (tptp.product @t10 @t11 @t9)) @t13))) % 0.36/0.57 (define @t15 () (@var "Z2" $$unsorted)) % 0.36/0.57 (define @t16 () (@var "Z1" $$unsorted)) % 0.36/0.57 (define @t17 () (forall (@list @t10 @t9 @t16 @t15) (or (not (tptp.product @t10 @t9 @t16)) (not (tptp.product @t10 @t16 @t15)) (tptp.product @t15 @t9 @t10)))) % 0.36/0.57 (define @t18 () (@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_3)) % 0.36/0.57 (define @t19 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.36/0.57 (define @t20 () (not @t19)) % 0.36/0.57 (define @t21 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t22 () (not @t21)) % 0.36/0.57 (define @t23 () (or @t22 @t20 @t4)) % 0.36/0.57 (define @t24 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_1)) % 0.36/0.57 (define @t25 () (not @t24)) % 0.36/0.57 (define @t26 () (or @t25 @t22 @t19)) % 0.36/0.57 (define @t27 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_3)) % 0.36/0.57 (define @t28 () (not @t27)) % 0.36/0.57 (define @t29 () (or @t28 @t25 @t8)) % 0.36/0.57 (define @t30 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.36/0.57 (define @t31 () (not @t30)) % 0.36/0.57 (define @t32 () (or @t31 @t25 @t4)) % 0.36/0.57 (define @t33 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_2)) % 0.36/0.57 (define @t34 () (not @t33)) % 0.36/0.57 (define @t35 () (or @t34 @t34 @t27)) % 0.36/0.57 (define @t36 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.36/0.57 (define @t37 () (not @t1)) % 0.36/0.57 (define @t38 () (not @t2)) % 0.36/0.57 (define @t39 () (or @t38 @t37 @t30 @t21 @t36)) % 0.36/0.57 (define @t40 () (@list tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_3)) % 0.36/0.57 (define @t41 () (not @t36)) % 0.36/0.57 (define @t42 () (or @t25 @t41 @t33)) % 0.36/0.57 (define @t43 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.36/0.57 (define @t44 () (not @t43)) % 0.36/0.57 (define @t45 () (or @t44 @t44 @t24)) % 0.36/0.57 (define @t46 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.36/0.57 (define @t47 () (not @t46)) % 0.36/0.57 (define @t48 () (or @t31 @t47 @t7)) % 0.36/0.57 (define @t49 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t50 () (or @t31 @t31 @t49)) % 0.36/0.57 (define @t51 () (@list tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_3)) % 0.36/0.57 (define @t52 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_3)) % 0.36/0.57 (define @t53 () (not @t52)) % 0.36/0.57 (define @t54 () (not @t49)) % 0.36/0.57 (define @t55 () (or @t54 @t53 @t46)) % 0.36/0.57 (define @t56 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.36/0.57 (define @t57 () (not @t56)) % 0.36/0.57 (define @t58 () (or @t57 @t54 @t24)) % 0.36/0.57 (define @t59 () (or @t37 @t38 @t56 @t43 @t52)) % 0.36/0.57 (define @t60 () (or @t38 @t38 @t24 @t19 @t27)) % 0.36/0.57 (define @t61 () (or @t53 @t28 @t4)) % 0.36/0.57 (define @t62 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.36/0.57 (define @t63 () (not @t62)) % 0.36/0.57 (define @t64 () (or @t63 @t57 @t4)) % 0.36/0.57 (define @t65 () (@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_3)) % 0.36/0.57 (define @t66 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_1)) % 0.36/0.57 (define @t67 () (not @t66)) % 0.36/0.57 (define @t68 () (or @t57 @t67 @t5)) % 0.36/0.57 (define @t69 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_3)) % 0.36/0.57 (define @t70 () (not @t69)) % 0.36/0.57 (define @t71 () (or @t57 @t70 @t66)) % 0.36/0.57 (define @t72 () (or @t37 @t37 @t62 @t49 @t69)) % 0.36/0.57 (define @t73 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_3)) % 0.36/0.57 (define @t74 () (not @t73)) % 0.36/0.57 (define @t75 () (or @t41 @t74 @t7)) % 0.36/0.57 (define @t76 () (@list true false false)) % 0.36/0.57 (define @t77 () (or @t47 @t67 @t4)) % 0.36/0.57 (define @t78 () (or @t47 @t47 @t69)) % 0.36/0.57 (define @t79 () (or @t41 @t28 @t4)) % 0.36/0.57 (define @t80 () (@list true false)) % 0.36/0.57 (define @t81 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_3)) % 0.36/0.57 (define @t82 () (not @t3)) % 0.36/0.57 (define @t83 () (or @t82 @t38 @t66 @t33 @t81)) % 0.36/0.57 (define @t84 () (not @t81)) % 0.36/0.57 (define @t85 () (or @t84 @t53 @t8)) % 0.36/0.57 (define @t86 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.36/0.57 (define @t87 () (or @t82 @t37 @t46 @t86 @t73)) % 0.36/0.57 (define @t88 () (@list false false true true false)) % 0.36/0.57 (define @t89 () (not @t86)) % 0.36/0.57 (define @t90 () (or @t67 @t89 @t27)) % 0.36/0.57 (define @t91 () (or @t54 @t89 @t5)) % 0.36/0.57 (define @t92 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_1)) % 0.36/0.57 (define @t93 () (not @t92)) % 0.36/0.57 (define @t94 () (or @t25 @t93 @t7)) % 0.36/0.57 (define @t95 () (or @t41 @t93 @t49)) % 0.36/0.57 (define @t96 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_1)) % 0.36/0.57 (define @t97 () (not @t96)) % 0.36/0.57 (define @t98 () (or @t97 @t54 @t92)) % 0.36/0.57 (define @t99 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_3)) % 0.36/0.57 (define @t100 () (not @t99)) % 0.36/0.57 (define @t101 () (or @t41 @t100 @t5)) % 0.36/0.57 (define @t102 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_2)) % 0.36/0.57 (define @t103 () (or @t38 @t82 @t92 @t102 @t99)) % 0.36/0.57 (define @t104 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_2)) % 0.36/0.57 (define @t105 () (not @t104)) % 0.36/0.57 (define @t106 () (not @t102)) % 0.36/0.57 (define @t107 () (or @t106 @t105 @t6)) % 0.36/0.57 (define @t108 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_3)) % 0.36/0.57 (define @t109 () (or @t37 @t82 @t96 @t104 @t108)) % 0.36/0.57 (define @t110 () (not @t108)) % 0.36/0.57 (define @t111 () (or @t70 @t110 @t5)) % 0.36/0.57 (define @t112 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_1)) % 0.36/0.57 (define @t113 () (not @t112)) % 0.36/0.57 (define @t114 () (or @t113 @t89 @t99)) % 0.36/0.57 (define @t115 () (or @t110 @t110 @t112)) % 0.36/0.57 (define @t116 () (or @t63 @t97 @t5)) % 0.36/0.57 (assume @p1 @t1) % 0.36/0.57 (assume @p2 @t2) % 0.36/0.57 (assume @p3 @t3) % 0.36/0.57 (assume @p4 (not @t4)) % 0.36/0.57 (assume @p5 (not @t5)) % 0.36/0.57 (assume @p6 (not @t6)) % 0.36/0.57 (assume @p7 (not @t7)) % 0.36/0.57 (assume @p8 (not @t8)) % 0.36/0.57 (assume @p9 (not (tptp.equalish tptp.e_3 tptp.e_2))) % 0.36/0.57 (assume @p10 (forall (@list @t10 @t9) (or (not (tptp.group_element @t10)) (not (tptp.group_element @t9)) (tptp.product @t10 @t9 tptp.e_1) (tptp.product @t10 @t9 tptp.e_2) (tptp.product @t10 @t9 tptp.e_3)))) % 0.36/0.57 (assume @p11 (forall (@list @t10 @t9 @t12 @t11) (or (not (tptp.product @t10 @t9 @t12)) (not (tptp.product @t10 @t9 @t11)) @t13))) % 0.36/0.57 (assume @p12 @t14) % 0.36/0.57 (assume @p13 (forall (@list @t12 @t9 @t10 @t11) (or (not (tptp.product @t12 @t9 @t10)) (not (tptp.product @t11 @t9 @t10)) @t13))) % 0.36/0.57 (assume @p14 @t17) % 0.36/0.57 (step @p15 :rule instantiate :premises (@p14) :args ((@list tptp.e_3 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p16 :rule instantiate :premises (@p10) :args ((@list tptp.e_3 tptp.e_1))) % 0.36/0.57 (step @p17 :rule instantiate :premises (@p13) :args (@t18)) % 0.36/0.57 (step @p18 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.36/0.57 (step @p19 :rule cnf_or_pos :args (@t23)) % 0.36/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t4 @t22 @t20 (not @t23)))) % 0.36/0.57 (step @p21 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p22 :rule cnf_or_pos :args (@t26)) % 0.36/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t22 @t19 @t25 (not @t26)))) % 0.36/0.57 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20 @p18 @p4) :args ((or @t22 @t25) (@list false true false true) (@list @t26 @t19 @t23 @t4))) % 0.36/0.57 (step @p25 :rule instantiate :premises (@p11) :args ((@list tptp.e_2 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.36/0.57 (step @p26 :rule cnf_or_pos :args (@t29)) % 0.36/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t8 @t25 @t28 (not @t29)))) % 0.36/0.57 (step @p28 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p29 :rule cnf_or_pos :args (@t32)) % 0.36/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t4 @t31 @t25 (not @t32)))) % 0.36/0.57 (step @p31 :rule instantiate :premises (@p14) :args ((@list tptp.e_3 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.36/0.57 (step @p32 :rule cnf_or_pos :args (@t35)) % 0.36/0.57 (step @p33 :rule factoring :premises (@p32)) % 0.36/0.57 (step @p34 :rule reordering :premises (@p33) :args ((or @t27 @t34 (not @t35)))) % 0.36/0.57 (step @p35 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_1))) % 0.36/0.57 (step @p36 :rule cnf_or_pos :args (@t39)) % 0.36/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t37 @t38 @t30 @t21 @t36 (not @t39)))) % 0.36/0.57 (step @p38 :rule instantiate :premises (@p14) :args (@t40)) % 0.36/0.57 (step @p39 :rule cnf_or_pos :args (@t42)) % 0.36/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t41 @t25 @t33 (not @t42)))) % 0.36/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37 @p35 @p2 @p1 @p34 @p31 @p30 @p28 @p4 @p27 @p25 @p8 @p24) :args (@t25 (@list false false false false false true false true false true true false true true) (@list @t42 @t36 @t39 @t2 @t1 @t33 @t35 @t30 @t32 @t4 @t27 @t29 @t8 @t21))) % 0.36/0.57 (step @p42 :rule instantiate :premises (@p14) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.36/0.57 (step @p43 :rule cnf_or_pos :args (@t45)) % 0.36/0.57 (step @p44 :rule factoring :premises (@p43)) % 0.36/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t44 @t24 (not @t45)))) % 0.36/0.57 (assume-push @p174 @t17) % 0.36/0.57 (step-pop @p175 :rule scope :premises (@p42)) % 0.36/0.57 (step @p47 :rule process_scope :premises (@p175) :args (@t45)) % 0.36/0.57 (step @p49 :rule implies_elim :premises (@p47)) % 0.36/0.57 (step @p50 :rule instantiate :premises (@p13) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.36/0.57 (step @p51 :rule cnf_or_pos :args (@t48)) % 0.36/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t7 @t31 @t47 (not @t48)))) % 0.36/0.57 (step @p53 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.36/0.57 (step @p54 :rule cnf_or_pos :args (@t50)) % 0.36/0.57 (step @p55 :rule factoring :premises (@p54)) % 0.36/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t49 @t31 (not @t50)))) % 0.36/0.57 (step @p57 :rule instantiate :premises (@p14) :args (@t51)) % 0.36/0.57 (step @p58 :rule cnf_or_pos :args (@t55)) % 0.36/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t54 @t53 @t46 (not @t55)))) % 0.36/0.57 (step @p60 :rule instantiate :premises (@p14) :args ((@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p61 :rule cnf_or_pos :args (@t58)) % 0.36/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t54 @t57 @t24 (not @t58)))) % 0.36/0.57 (step @p63 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p64 :rule cnf_or_pos :args (@t59)) % 0.36/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t37 @t38 @t56 @t43 @t52 (not @t59)))) % 0.36/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p2 @p1 @p62 @p60 @p59 @p57 @p56 @p53 @p52 @p50 @p7 @p45 @p49 @p14) :args ((or @t31 @t24) (@list false false false true false true false false false true false true true false false) (@list @t59 @t2 @t1 @t56 @t58 @t52 @t55 @t49 @t50 @t46 @t48 @t7 @t43 @t45 @t17))) % 0.36/0.57 (step @p67 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_2))) % 0.36/0.57 (step @p68 :rule cnf_or_pos :args (@t60)) % 0.36/0.57 (step @p69 :rule factoring :premises (@p68)) % 0.36/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t38 @t24 @t19 @t27 (not @t60)))) % 0.36/0.57 (step @p71 :rule instantiate :premises (@p13) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_2))) % 0.36/0.57 (step @p72 :rule cnf_or_pos :args (@t61)) % 0.36/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t4 @t53 @t28 (not @t61)))) % 0.36/0.57 (step @p74 :rule instantiate :premises (@p12) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p75 :rule cnf_or_pos :args (@t64)) % 0.36/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t4 @t63 @t57 (not @t64)))) % 0.36/0.57 (step @p77 :rule instantiate :premises (@p13) :args (@t65)) % 0.36/0.57 (step @p78 :rule cnf_or_pos :args (@t68)) % 0.36/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t5 @t57 @t67 (not @t68)))) % 0.36/0.57 (step @p80 :rule instantiate :premises (@p14) :args (@t65)) % 0.36/0.57 (step @p81 :rule cnf_or_pos :args (@t71)) % 0.36/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t70 @t57 @t66 (not @t71)))) % 0.36/0.57 (step @p83 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_1))) % 0.36/0.57 (step @p84 :rule cnf_or_pos :args (@t72)) % 0.36/0.57 (step @p85 :rule factoring :premises (@p84)) % 0.36/0.57 (step @p86 :rule reordering :premises (@p85) :args ((or @t37 @t62 @t49 @t69 (not @t72)))) % 0.36/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p83 @p1 @p82 @p80 @p79 @p77 @p5 @p62 @p60 @p76 @p74 @p4 @p65 @p63 @p2 @p1 @p73 @p71 @p4 @p70 @p67 @p2 @p20 @p18 @p4 @p37 @p35 @p2 @p1 @p66 @p45 @p42) :args ((or @t36 @t24) (@list false false true false true false true true false true false true false false false false true false true false false false true false true false false false false true true false) (@list @t72 @t1 @t69 @t71 @t66 @t68 @t5 @t49 @t58 @t62 @t64 @t4 @t56 @t59 @t2 @t1 @t52 @t61 @t4 @t27 @t60 @t2 @t19 @t23 @t4 @t21 @t39 @t2 @t1 @t30 @t43 @t45))) % 0.36/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p41) :args (@t36 (@list true) (@list @t24))) % 0.36/0.57 (step @p89 :rule cnf_or_pos :args (@t75)) % 0.36/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t7 @t41 @t74 (not @t75)))) % 0.36/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p7 @p88 @p17) :args (@t74 @t76 (@list @t7 @t36 @t75))) % 0.36/0.57 (step @p92 :rule instantiate :premises (@p12) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p93 :rule cnf_or_pos :args (@t77)) % 0.36/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t4 @t47 @t67 (not @t77)))) % 0.36/0.57 (step @p95 :rule instantiate :premises (@p14) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.36/0.57 (step @p96 :rule cnf_or_pos :args (@t78)) % 0.36/0.57 (step @p97 :rule factoring :premises (@p96)) % 0.36/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t69 @t47 (not @t78)))) % 0.36/0.57 (step @p99 :rule instantiate :premises (@p10) :args ((@list tptp.e_3 tptp.e_2))) % 0.36/0.57 (step @p100 :rule instantiate :premises (@p12) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_2))) % 0.36/0.57 (step @p101 :rule cnf_or_pos :args (@t79)) % 0.36/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t4 @t41 @t28 (not @t79)))) % 0.36/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p4 @p88 @p100) :args (@t28 @t76 (@list @t4 @t36 @t79))) % 0.36/0.57 (step @p104 :rule chain_m_resolution :premises (@p34 @p103 @p31) :args (@t34 @t80 (@list @t27 @t35))) % 0.36/0.57 (step @p105 :rule cnf_or_pos :args (@t83)) % 0.36/0.57 (step @p106 :rule reordering :premises (@p105) :args ((or @t38 @t82 @t66 @t33 @t81 (not @t83)))) % 0.36/0.57 (step @p107 :rule instantiate :premises (@p13) :args ((@list tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.36/0.57 (step @p108 :rule cnf_or_pos :args (@t85)) % 0.36/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t8 @t53 @t84 (not @t85)))) % 0.36/0.57 (step @p110 :rule chain_m_resolution :premises (@p45 @p41 @p42) :args (@t44 @t80 (@list @t24 @t45))) % 0.36/0.57 (step @p111 :rule chain_m_resolution :premises (@p65 @p110 @p63 @p2 @p1 @p109 @p107 @p8 @p82 @p80 @p106 @p104 @p99 @p3 @p2 @p98 @p95 @p94 @p92 @p4) :args (@t47 (@list true false false false true false true true false false true false false false false false true false true) (@list @t43 @t59 @t2 @t1 @t52 @t85 @t8 @t56 @t71 @t81 @t33 @t83 @t3 @t2 @t69 @t78 @t66 @t77 @t4))) % 0.36/0.57 (step @p112 :rule cnf_or_pos :args (@t87)) % 0.36/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t37 @t82 @t46 @t86 @t73 (not @t87)))) % 0.36/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p1 @p3 @p111 @p91 @p16) :args (@t86 @t88 (@list @t1 @t3 @t46 @t73 @t87))) % 0.36/0.57 (step @p115 :rule cnf_or_pos :args (@t90)) % 0.36/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t27 @t89 @t67 (not @t90)))) % 0.36/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p103 @p114 @p15) :args (@t67 @t76 (@list @t27 @t86 @t90))) % 0.36/0.57 (step @p118 :rule chain_m_resolution :premises (@p106 @p2 @p3 @p117 @p104 @p99) :args (@t81 @t88 (@list @t2 @t3 @t66 @t33 @t83))) % 0.36/0.57 (step @p119 :rule chain_m_resolution :premises (@p109 @p8 @p118 @p107) :args (@t53 @t76 (@list @t8 @t81 @t85))) % 0.36/0.57 (step @p120 :rule chain_m_resolution :premises (@p65 @p1 @p2 @p110 @p119 @p63) :args (@t56 @t88 (@list @t1 @t2 @t43 @t52 @t59))) % 0.36/0.57 (step @p121 :rule instantiate :premises (@p13) :args (@t51)) % 0.36/0.57 (step @p122 :rule cnf_or_pos :args (@t91)) % 0.36/0.57 (step @p123 :rule reordering :premises (@p122) :args ((or @t5 @t54 @t89 (not @t91)))) % 0.36/0.57 (assume-push @p176 @t14) % 0.36/0.57 (step @p125 :rule instantiate :premises (@p12) :args (@t40)) % 0.36/0.57 (step-pop @p177 :rule scope :premises (@p125)) % 0.36/0.57 (step @p126 :rule process_scope :premises (@p177) :args (@t94)) % 0.36/0.57 (step @p128 :rule implies_elim :premises (@p126)) % 0.36/0.57 (step @p129 :rule cnf_or_pos :args (@t94)) % 0.36/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t7 @t25 @t93 (not @t94)))) % 0.36/0.57 (step @p131 :rule instantiate :premises (@p14) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_1))) % 0.36/0.57 (step @p132 :rule cnf_or_pos :args (@t95)) % 0.36/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t49 @t41 @t93 (not @t95)))) % 0.36/0.57 (step @p134 :rule chain_m_resolution :premises (@p106 @p99 @p3 @p2 @p94 @p92 @p4 @p109 @p107 @p8 @p113 @p16 @p3 @p1 @p65 @p63 @p2 @p1 @p123 @p121 @p5 @p62 @p60 @p34 @p31 @p133 @p131 @p90 @p17 @p7 @p102 @p100 @p4 @p45 @p49 @p14 @p130 @p7 @p128 @p12) :args ((or @t41 @t93) (@list false false false true false true true false true false false false false false false false false true false true true false true false false false true false true true false true true false false true true false false) (@list @t83 @t3 @t2 @t66 @t77 @t4 @t81 @t85 @t8 @t46 @t87 @t3 @t1 @t52 @t59 @t2 @t1 @t86 @t91 @t5 @t56 @t58 @t33 @t35 @t49 @t95 @t73 @t75 @t7 @t27 @t79 @t4 @t43 @t45 @t17 @t24 @t7 @t94 @t14))) % 0.36/0.57 (step @p135 :rule chain_m_resolution :premises (@p134 @p88) :args (@t93 (@list false) (@list @t36))) % 0.36/0.57 (step @p136 :rule instantiate :premises (@p14) :args ((@list tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p137 :rule cnf_or_pos :args (@t98)) % 0.36/0.57 (step @p138 :rule reordering :premises (@p137) :args ((or @t54 @t97 @t92 (not @t98)))) % 0.36/0.57 (step @p139 :rule instantiate :premises (@p10) :args ((@list tptp.e_1 tptp.e_3))) % 0.36/0.57 (step @p140 :rule instantiate :premises (@p13) :args ((@list tptp.e_2 tptp.e_3 tptp.e_2 tptp.e_1))) % 0.36/0.57 (step @p141 :rule instantiate :premises (@p10) :args ((@list tptp.e_2 tptp.e_3))) % 0.36/0.57 (step @p142 :rule instantiate :premises (@p12) :args (@t18)) % 0.36/0.57 (step @p143 :rule cnf_or_pos :args (@t101)) % 0.36/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t5 @t41 @t100 (not @t101)))) % 0.36/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p5 @p88 @p142) :args (@t100 @t76 (@list @t5 @t36 @t101))) % 0.36/0.57 (step @p146 :rule cnf_or_pos :args (@t103)) % 0.36/0.57 (step @p147 :rule reordering :premises (@p146) :args ((or @t38 @t82 @t92 @t102 @t99 (not @t103)))) % 0.36/0.57 (step @p148 :rule chain_m_resolution :premises (@p147 @p2 @p3 @p135 @p145 @p141) :args (@t102 @t88 (@list @t2 @t3 @t92 @t99 @t103))) % 0.36/0.57 (step @p149 :rule cnf_or_pos :args (@t107)) % 0.36/0.57 (step @p150 :rule reordering :premises (@p149) :args ((or @t6 @t105 @t106 (not @t107)))) % 0.36/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p6 @p148 @p140) :args (@t105 @t76 (@list @t6 @t102 @t107))) % 0.36/0.57 (step @p152 :rule cnf_or_pos :args (@t109)) % 0.36/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t37 @t82 @t96 @t104 @t108 (not @t109)))) % 0.36/0.57 (step @p154 :rule instantiate :premises (@p12) :args ((@list tptp.e_1 tptp.e_1 tptp.e_3 tptp.e_3))) % 0.36/0.57 (step @p155 :rule cnf_or_pos :args (@t111)) % 0.36/0.57 (step @p156 :rule reordering :premises (@p155) :args ((or @t5 @t70 @t110 (not @t111)))) % 0.36/0.57 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p5 @p98 @p95 @p153 @p151 @p139 @p3 @p1 @p113 @p91 @p16 @p3 @p1 @p138 @p136 @p135 @p123 @p121 @p5) :args (@t54 (@list false true false false false true false false false false true false false false true false true true false true) (@list @t111 @t5 @t69 @t78 @t108 @t104 @t109 @t3 @t1 @t46 @t73 @t87 @t3 @t1 @t96 @t98 @t92 @t86 @t91 @t5))) % 0.36/0.57 (step @p158 :rule instantiate :premises (@p12) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.36/0.57 (step @p159 :rule instantiate :premises (@p14) :args ((@list tptp.e_1 tptp.e_3 tptp.e_3 tptp.e_3))) % 0.36/0.57 (step @p160 :rule instantiate :premises (@p14) :args ((@list tptp.e_3 tptp.e_3 tptp.e_1 tptp.e_2))) % 0.36/0.57 (step @p161 :rule cnf_or_pos :args (@t114)) % 0.36/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t113 @t89 @t99 (not @t114)))) % 0.36/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p114 @p145 @p160) :args (@t113 (@list false true false) (@list @t86 @t99 @t114))) % 0.36/0.57 (step @p164 :rule cnf_or_pos :args (@t115)) % 0.36/0.57 (step @p165 :rule factoring :premises (@p164)) % 0.36/0.57 (step @p166 :rule reordering :premises (@p165) :args ((or @t112 @t110 (not @t115)))) % 0.36/0.57 (step @p167 :rule chain_m_resolution :premises (@p166 @p163 @p159) :args (@t110 @t80 (@list @t112 @t115))) % 0.36/0.57 (step @p168 :rule chain_m_resolution :premises (@p153 @p1 @p3 @p151 @p167 @p139) :args (@t96 @t88 (@list @t1 @t3 @t104 @t108 @t109))) % 0.36/0.57 (step @p169 :rule cnf_or_pos :args (@t116)) % 0.36/0.57 (step @p170 :rule reordering :premises (@p169) :args ((or @t5 @t63 @t97 (not @t116)))) % 0.36/0.57 (step @p171 :rule chain_m_resolution :premises (@p170 @p5 @p168 @p158) :args (@t63 @t76 (@list @t5 @t96 @t116))) % 0.36/0.57 (step @p172 :rule chain_m_resolution :premises (@p86 @p1 @p171 @p157 @p83) :args (@t69 (@list false true true false) (@list @t1 @t62 @t49 @t72))) % 0.36/0.57 (step @p173 false :rule chain_m_resolution :premises (@p82 @p172 @p120 @p80 @p117) :args (false (@list false false false true) (@list @t69 @t56 @t71 @t66))) % 0.36/0.57 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------