%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP039-7 : TPTP v9.2.1. Bugfixed v1.0.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:19:41 AM UTC 2026 % Result : Unsatisfiable 16.07s 16.88s % Output : Proof 16.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP039-7 : TPTP v9.2.1. Bugfixed v1.0.1. % 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 : n014.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 00:41:58 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... % 0.33/16.25 --- Run --no-e-matching --full-saturate-quant at 6... % 16.07/16.88 % SZS status Unsatisfiable % 16.07/16.88 % SZS output start Proof % 16.07/16.89 ( % 16.07/16.89 (declare-sort $$unsorted 0) % 16.07/16.89 (declare-const tptp.d $$unsorted) % 16.07/16.89 (declare-const tptp.c $$unsorted) % 16.07/16.89 (declare-const tptp.element_in_O2 (-> $$unsorted $$unsorted $$unsorted)) % 16.07/16.89 (declare-const tptp.subgroup_member (-> $$unsorted Bool)) % 16.07/16.89 (declare-const tptp.a $$unsorted) % 16.07/16.89 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.07/16.89 (declare-const tptp.b $$unsorted) % 16.07/16.89 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.07/16.89 (declare-const tptp.identity $$unsorted) % 16.07/16.89 (define @t1 () (@var "X" $$unsorted)) % 16.07/16.89 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.07/16.89 (define @t3 () (@list @t1)) % 16.07/16.89 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.07/16.89 (define @t5 () (tptp.inverse @t1)) % 16.07/16.89 (define @t6 () (tptp.multiply @t5 @t1)) % 16.07/16.89 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 16.07/16.89 (define @t8 () (@var "Z" $$unsorted)) % 16.07/16.89 (define @t9 () (@var "Y" $$unsorted)) % 16.07/16.89 (define @t10 () (tptp.multiply @t1 @t9)) % 16.07/16.89 (define @t11 () (@list @t1 @t9 @t8)) % 16.07/16.89 (define @t12 () (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 16.07/16.89 (define @t13 () (tptp.subgroup_member @t1)) % 16.07/16.89 (define @t14 () (not @t13)) % 16.07/16.89 (define @t15 () (tptp.subgroup_member @t8)) % 16.07/16.89 (define @t16 () (not (= @t10 @t8))) % 16.07/16.89 (define @t17 () (tptp.subgroup_member @t9)) % 16.07/16.89 (define @t18 () (not @t17)) % 16.07/16.89 (define @t19 () (or @t14 @t18 @t16 @t15)) % 16.07/16.89 (define @t20 () (forall @t11 @t19)) % 16.07/16.89 (define @t21 () (tptp.multiply @t1 @t5)) % 16.07/16.89 (define @t22 () (forall @t3 (= @t21 tptp.identity))) % 16.07/16.89 (define @t23 () (tptp.inverse @t5)) % 16.07/16.89 (define @t24 () (forall @t3 (= @t23 @t1))) % 16.07/16.89 (define @t25 () (tptp.element_in_O2 @t1 @t9)) % 16.07/16.89 (define @t26 () (@list @t1 @t9)) % 16.07/16.89 (define @t27 () (tptp.multiply @t1 @t25)) % 16.07/16.89 (define @t28 () (or @t13 @t17 (= @t27 @t9))) % 16.07/16.89 (define @t29 () (forall @t26 @t28)) % 16.07/16.89 (define @t30 () (tptp.subgroup_member tptp.b)) % 16.07/16.89 (define @t31 () (tptp.inverse tptp.a)) % 16.07/16.89 (define @t32 () (tptp.multiply tptp.b @t31)) % 16.07/16.89 (define @t33 () (tptp.multiply tptp.a tptp.c)) % 16.07/16.89 (define @t34 () (tptp.subgroup_member tptp.d)) % 16.07/16.89 (define @t35 () (not @t34)) % 16.07/16.89 (define @t36 () (@list tptp.b)) % 16.07/16.89 (define @t37 () (@list @t31)) % 16.07/16.89 (define @t38 () (@list tptp.a)) % 16.07/16.89 (define @t39 () (tptp.subgroup_member @t31)) % 16.07/16.89 (define @t40 () (not (tptp.subgroup_member tptp.a))) % 16.07/16.89 (define @t41 () (or @t40 @t39)) % 16.07/16.89 (define @t42 () (tptp.subgroup_member @t10)) % 16.07/16.89 (define @t43 () (not (= @t10 @t10))) % 16.07/16.89 (define @t44 () (or @t14 @t18 @t43 @t42)) % 16.07/16.89 (define @t45 () (not (= @t8 @t10))) % 16.07/16.89 (define @t46 () (or @t45 @t14 @t18 @t45 @t15)) % 16.07/16.89 (define @t47 () (@list @t8)) % 16.07/16.89 (define @t48 () (or @t14 @t18 @t45 @t15)) % 16.07/16.89 (define @t49 () (forall @t47 @t48)) % 16.07/16.89 (define @t50 () (forall @t26 @t49)) % 16.07/16.89 (define @t51 () (tptp.subgroup_member (tptp.multiply tptp.a @t32))) % 16.07/16.89 (define @t52 () (tptp.subgroup_member @t32)) % 16.07/16.89 (define @t53 () (not @t52)) % 16.07/16.89 (define @t54 () (or @t40 @t53 @t51)) % 16.07/16.89 (define @t55 () (not @t39)) % 16.07/16.89 (define @t56 () (not @t30)) % 16.07/16.89 (define @t57 () (or @t56 @t55 @t52)) % 16.07/16.89 (define @t58 () (tptp.subgroup_member (tptp.inverse @t31))) % 16.07/16.89 (define @t59 () (or @t55 @t58)) % 16.07/16.89 (define @t60 () (tptp.inverse tptp.b)) % 16.07/16.89 (define @t61 () (@list @t31 @t32)) % 16.07/16.89 (define @t62 () (tptp.element_in_O2 @t31 @t32)) % 16.07/16.89 (define @t63 () (tptp.subgroup_member @t62)) % 16.07/16.89 (define @t64 () (or @t39 @t52 @t63)) % 16.07/16.89 (define @t65 () (tptp.multiply @t31 @t62)) % 16.07/16.89 (define @t66 () (= @t32 @t65)) % 16.07/16.89 (define @t67 () (or @t39 @t52 @t66)) % 16.07/16.89 (define @t68 () (tptp.multiply tptp.a @t65)) % 16.07/16.89 (define @t69 () (tptp.multiply tptp.a @t31)) % 16.07/16.89 (define @t70 () (= (tptp.multiply @t69 @t62) @t68)) % 16.07/16.89 (define @t71 () (not @t70)) % 16.07/16.89 (define @t72 () (tptp.multiply tptp.identity @t62)) % 16.07/16.89 (define @t73 () (= @t62 @t72)) % 16.07/16.89 (define @t74 () (not @t73)) % 16.07/16.89 (define @t75 () (not @t66)) % 16.07/16.89 (define @t76 () (not @t63)) % 16.07/16.89 (define @t77 () (= tptp.identity @t69)) % 16.07/16.89 (define @t78 () (not @t77)) % 16.07/16.89 (define @t79 () (not @t51)) % 16.07/16.89 (define @t80 () (= true false)) % 16.07/16.89 (define @t81 () (and @t73 @t70 @t66 @t77 @t63 @t79)) % 16.07/16.89 (define @t82 () (tptp.subgroup_member @t60)) % 16.07/16.89 (define @t83 () (or @t56 @t82)) % 16.07/16.89 (define @t84 () (tptp.multiply @t60 @t32)) % 16.07/16.89 (define @t85 () (tptp.subgroup_member @t84)) % 16.07/16.89 (define @t86 () (not @t82)) % 16.07/16.89 (define @t87 () (or @t86 @t53 @t85)) % 16.07/16.89 (define @t88 () (tptp.multiply @t60 tptp.b)) % 16.07/16.89 (define @t89 () (tptp.multiply @t88 @t31)) % 16.07/16.89 (define @t90 () (= @t89 @t84)) % 16.07/16.89 (define @t91 () (= @t84 @t89)) % 16.07/16.89 (define @t92 () (not @t91)) % 16.07/16.89 (define @t93 () (not @t85)) % 16.07/16.89 (define @t94 () (= @t31 (tptp.multiply tptp.identity @t31))) % 16.07/16.89 (define @t95 () (not @t94)) % 16.07/16.89 (define @t96 () (= tptp.identity @t88)) % 16.07/16.89 (define @t97 () (not @t96)) % 16.07/16.89 (define @t98 () (and @t91 @t94 @t55 @t85 @t96)) % 16.07/16.89 (assume @p1 @t4) % 16.07/16.89 (assume @p2 @t7) % 16.07/16.89 (assume @p3 @t12) % 16.07/16.89 (assume @p4 (forall @t3 (or @t14 (tptp.subgroup_member @t5)))) % 16.07/16.89 (assume @p5 @t20) % 16.07/16.89 (assume @p6 (forall @t3 (= (tptp.multiply @t1 tptp.identity) @t1))) % 16.07/16.89 (assume @p7 @t22) % 16.07/16.89 (assume @p8 @t24) % 16.07/16.89 (assume @p9 (= (tptp.inverse tptp.identity) tptp.identity)) % 16.07/16.89 (assume @p10 (tptp.subgroup_member tptp.identity)) % 16.07/16.89 (assume @p11 (forall @t26 (or @t13 @t17 (tptp.subgroup_member @t25)))) % 16.07/16.89 (assume @p12 @t29) % 16.07/16.89 (assume @p13 @t30) % 16.07/16.89 (assume @p14 (= @t32 tptp.c)) % 16.07/16.89 (assume @p15 (= @t33 tptp.d)) % 16.07/16.89 (assume @p16 @t35) % 16.07/16.89 (step @p17 :rule eq-symm :args (@t6 tptp.identity)) % 16.07/16.89 (step @p18 :rule cong :premises (@p17) :args (@t7)) % 16.07/16.89 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 16.07/16.89 (step @p20 :rule instantiate :premises (@p19) :args (@t36)) % 16.07/16.89 (step @p21 :rule instantiate :premises (@p4) :args (@t37)) % 16.07/16.89 (step @p22 :rule instantiate :premises (@p4) :args (@t38)) % 16.07/16.89 (step @p23 :rule cnf_or_pos :args (@t41)) % 16.07/16.89 (step @p24 :rule reordering :premises (@p23) :args ((or @t40 @t39 (not @t41)))) % 16.07/16.89 (step @p25 :rule symm :premises (@p14)) % 16.07/16.89 (step @p26 :rule refl :args (tptp.a)) % 16.07/16.89 (step @p27 :rule cong :premises (@p26 @p25) :args (@t33)) % 16.07/16.89 (step @p28 :rule refl :args (tptp.d)) % 16.07/16.89 (step @p29 :rule cong :premises (@p28 @p27) :args ((= tptp.d @t33))) % 16.07/16.89 (step @p30 :rule symm :premises (@p15)) % 16.07/16.89 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 16.07/16.89 (step @p32 :rule cong :premises (@p31) :args (@t34)) % 16.07/16.89 (step @p33 :rule cong :premises (@p32) :args (@t35)) % 16.07/16.89 (step @p34 :rule eq_resolve :premises (@p16 @p33)) % 16.07/16.89 (step @p35 :rule aci_norm :args ((= (or @t14 @t18 false @t42) (or @t14 @t18 @t42)))) % 16.07/16.89 (step @p36 :rule refl :args (@t42)) % 16.07/16.89 (step @p37 :rule evaluate :args ((not true))) % 16.07/16.89 (step @p38 :rule eq-refl :args (@t10)) % 16.07/16.89 (step @p39 :rule cong :premises (@p38) :args (@t43)) % 16.07/16.89 (step @p40 :rule trans :premises (@p39 @p37)) % 16.07/16.89 (step @p41 :rule refl :args (@t18)) % 16.07/16.89 (step @p42 :rule refl :args (@t14)) % 16.07/16.89 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p36) :args (@t44)) % 16.07/16.89 (step @p44 :rule trans :premises (@p43 @p35)) % 16.07/16.89 (step @p45 :rule cong :premises (@p44) :args ((forall @t26 @t44))) % 16.07/16.89 (step @p46 :rule quant-var-elim-eq :args ((= (forall @t47 @t46) @t44))) % 16.07/16.89 (step @p47 :rule aci_norm :args ((= @t48 @t46))) % 16.07/16.89 (step @p48 :rule cong :premises (@p47) :args (@t49)) % 16.07/16.89 (step @p49 :rule trans :premises (@p48 @p46)) % 16.07/16.89 (step @p50 :rule cong :premises (@p49) :args (@t50)) % 16.07/16.89 (step @p51 :rule quant-merge-prenex :args ((= @t50 (forall @t11 @t48)))) % 16.07/16.89 (step @p52 :rule symm :premises (@p51)) % 16.07/16.89 (step @p53 :rule trans :premises (@p52 @p50)) % 16.07/16.89 (step @p54 :rule trans :premises (@p53 @p45)) % 16.07/16.89 (step @p55 :rule refl :args (@t15)) % 16.07/16.89 (step @p56 :rule eq-symm :args (@t10 @t8)) % 16.07/16.89 (step @p57 :rule cong :premises (@p56) :args (@t16)) % 16.07/16.89 (step @p58 :rule nary_cong :premises (@p42 @p41 @p57 @p55) :args (@t19)) % 16.07/16.89 (step @p59 :rule cong :premises (@p58) :args (@t20)) % 16.07/16.89 (step @p60 :rule trans :premises (@p59 @p54)) % 16.07/16.89 (step @p61 :rule eq_resolve :premises (@p5 @p60)) % 16.07/16.89 (step @p62 :rule instantiate :premises (@p61) :args ((@list tptp.a @t32))) % 16.07/16.89 (step @p63 :rule cnf_or_pos :args (@t54)) % 16.07/16.89 (step @p64 :rule reordering :premises (@p63) :args ((or @t51 @t40 @t53 (not @t54)))) % 16.07/16.89 (step @p65 :rule instantiate :premises (@p61) :args ((@list tptp.b @t31))) % 16.07/16.89 (step @p66 :rule cnf_or_pos :args (@t57)) % 16.07/16.89 (step @p67 :rule reordering :premises (@p66) :args ((or @t56 @t55 @t52 (not @t57)))) % 16.07/16.89 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p13 @p64 @p62 @p34 @p24 @p22) :args (@t40 (@list false false true false true false false) (@list @t57 @t30 @t52 @t54 @t51 @t39 @t41))) % 16.07/16.89 (step @p69 :rule false_intro :premises (@p68)) % 16.07/16.89 (step @p70 :rule eq-symm :args (@t23 @t1)) % 16.07/16.89 (step @p71 :rule cong :premises (@p70) :args (@t24)) % 16.07/16.89 (step @p72 :rule eq_resolve :premises (@p8 @p71)) % 16.07/16.89 (step @p73 :rule instantiate :premises (@p72) :args (@t38)) % 16.07/16.89 (step @p74 :rule symm :premises (@p73)) % 16.07/16.89 (step @p75 :rule cong :premises (@p74) :args (@t58)) % 16.07/16.89 (step @p76 :rule trans :premises (@p75 @p69)) % 16.07/16.89 (step @p77 :rule false_elim :premises (@p76)) % 16.07/16.89 (step @p78 :rule cnf_or_pos :args (@t59)) % 16.07/16.89 (step @p79 :rule reordering :premises (@p78) :args ((or @t55 @t58 (not @t59)))) % 16.07/16.89 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p21) :args (@t55 (@list true false) (@list @t58 @t59))) % 16.07/16.89 (step @p81 :rule eq-symm :args (@t2 @t1)) % 16.07/16.89 (step @p82 :rule cong :premises (@p81) :args (@t4)) % 16.07/16.89 (step @p83 :rule eq_resolve :premises (@p1 @p82)) % 16.07/16.89 (step @p84 :rule instantiate :premises (@p83) :args (@t37)) % 16.07/16.89 (step @p85 :rule instantiate :premises (@p61) :args ((@list @t60 @t32))) % 16.07/16.89 (step @p86 :rule instantiate :premises (@p11) :args (@t61)) % 16.07/16.89 (step @p87 :rule cnf_or_pos :args (@t64)) % 16.07/16.89 (step @p88 :rule reordering :premises (@p87) :args ((or @t39 @t52 @t63 (not @t64)))) % 16.07/16.89 (step @p89 :rule eq-symm :args (@t27 @t9)) % 16.07/16.89 (step @p90 :rule refl :args (@t17)) % 16.07/16.89 (step @p91 :rule refl :args (@t13)) % 16.07/16.89 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args (@t28)) % 16.07/16.89 (step @p93 :rule cong :premises (@p92) :args (@t29)) % 16.07/16.89 (step @p94 :rule eq_resolve :premises (@p12 @p93)) % 16.07/16.89 (step @p95 :rule instantiate :premises (@p94) :args (@t61)) % 16.07/16.89 (step @p96 :rule cnf_or_pos :args (@t67)) % 16.07/16.89 (step @p97 :rule reordering :premises (@p96) :args ((or @t39 @t52 @t66 (not @t67)))) % 16.07/16.89 (step @p98 :rule eq-symm :args (@t21 tptp.identity)) % 16.07/16.89 (step @p99 :rule cong :premises (@p98) :args (@t22)) % 16.07/16.89 (step @p100 :rule eq_resolve :premises (@p7 @p99)) % 16.07/16.89 (step @p101 :rule instantiate :premises (@p100) :args (@t38)) % 16.07/16.89 (step @p102 :rule instantiate :premises (@p83) :args ((@list @t62))) % 16.07/16.89 (step @p103 :rule instantiate :premises (@p3) :args ((@list tptp.a @t31 @t62))) % 16.07/16.89 (step @p104 :rule refl :args (@t71)) % 16.07/16.89 (step @p105 :rule refl :args (@t74)) % 16.07/16.89 (step @p106 :rule refl :args (@t75)) % 16.07/16.89 (step @p107 :rule refl :args (@t76)) % 16.07/16.89 (step @p108 :rule refl :args (@t78)) % 16.07/16.89 (step @p109 :rule bool-double-not-elim :args (@t51)) % 16.07/16.89 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106 @p105 @p104) :args ((or (not @t79) @t78 @t76 @t75 @t74 @t71))) % 16.07/16.89 (assume-push @p218 @t73) % 16.07/16.89 (assume-push @p219 @t70) % 16.07/16.89 (assume-push @p220 @t66) % 16.07/16.89 (assume-push @p221 @t77) % 16.07/16.89 (assume-push @p222 @t63) % 16.07/16.89 (assume-push @p223 @t79) % 16.07/16.89 (step @p117 :rule evaluate :args (@t80)) % 16.07/16.89 (step @p118 :rule false_intro :premises (@p34)) % 16.07/16.89 (step @p119 :rule symm :premises (@p220)) % 16.07/16.89 (step @p120 :rule cong :premises (@p26 @p119) :args (@t68)) % 16.07/16.89 (step @p121 :rule refl :args (@t62)) % 16.07/16.89 (step @p122 :rule cong :premises (@p101 @p121) :args (@t72)) % 16.07/16.89 (step @p123 :rule trans :premises (@p102 @p122 @p103 @p120)) % 16.07/16.89 (step @p124 :rule cong :premises (@p123) :args (@t63)) % 16.07/16.89 (step @p125 :rule true_intro :premises (@p222)) % 16.07/16.89 (step @p126 :rule symm :premises (@p125)) % 16.07/16.89 (step @p127 :rule trans :premises (@p126 @p124 @p118)) % 16.07/16.89 (step @p128 false :rule eq_resolve :premises (@p127 @p117)) % 16.07/16.89 (step-pop @p224 :rule scope :premises (@p128)) % 16.07/16.89 (step-pop @p225 :rule scope :premises (@p224)) % 16.07/16.89 (step-pop @p226 :rule scope :premises (@p225)) % 16.07/16.89 (step-pop @p227 :rule scope :premises (@p226)) % 16.07/16.89 (step-pop @p228 :rule scope :premises (@p227)) % 16.07/16.89 (step-pop @p229 :rule scope :premises (@p228)) % 16.07/16.89 (step @p129 :rule process_scope :premises (@p229) :args (false)) % 16.07/16.89 (assume-push @p230 @t79) % 16.07/16.89 (assume-push @p231 @t77) % 16.07/16.89 (assume-push @p232 @t63) % 16.07/16.89 (assume-push @p233 @t66) % 16.07/16.89 (assume-push @p234 @t73) % 16.07/16.89 (assume-push @p235 @t70) % 16.07/16.89 (step @p142 :rule and_intro :premises (@p102 @p103 @p233 @p101 @p232 @p34)) % 16.07/16.89 (step-pop @p236 :rule scope :premises (@p142)) % 16.07/16.89 (step-pop @p237 :rule scope :premises (@p236)) % 16.07/16.89 (step-pop @p238 :rule scope :premises (@p237)) % 16.07/16.89 (step-pop @p239 :rule scope :premises (@p238)) % 16.07/16.89 (step-pop @p240 :rule scope :premises (@p239)) % 16.07/16.89 (step-pop @p241 :rule scope :premises (@p240)) % 16.07/16.89 (step @p143 :rule process_scope :premises (@p241) :args (@t81)) % 16.07/16.89 (step @p150 :rule implies_elim :premises (@p143)) % 16.07/16.89 (step @p151 :rule resolution :premises (@p150 @p129) :args (true @t81)) % 16.07/16.89 (step @p152 :rule not_and :premises (@p151)) % 16.07/16.89 (step @p153 :rule eq_resolve :premises (@p152 @p110)) % 16.07/16.89 (step @p154 :rule chain_m_resolution :premises (@p153 @p103 @p102 @p101 @p34 @p97 @p95 @p80 @p88 @p86 @p80) :args (@t52 (@list false false false true false false true false false true) (@list @t70 @t73 @t77 @t51 @t66 @t67 @t39 @t63 @t64 @t39))) % 16.07/16.89 (step @p155 :rule instantiate :premises (@p4) :args (@t36)) % 16.07/16.89 (step @p156 :rule cnf_or_pos :args (@t83)) % 16.07/16.89 (step @p157 :rule reordering :premises (@p156) :args ((or @t56 @t82 (not @t83)))) % 16.07/16.89 (step @p158 :rule chain_m_resolution :premises (@p157 @p13 @p155) :args (@t82 (@list false false) (@list @t30 @t83))) % 16.07/16.89 (step @p159 :rule cnf_or_pos :args (@t87)) % 16.07/16.89 (step @p160 :rule reordering :premises (@p159) :args ((or @t86 @t53 @t85 (not @t87)))) % 16.07/16.89 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p154 @p85) :args (@t85 (@list false false false) (@list @t82 @t52 @t87))) % 16.07/16.89 (step @p162 :rule eq-symm :args (@t89 @t84)) % 16.07/16.89 (step @p163 :rule refl :args (@t12)) % 16.07/16.89 (step @p164 :rule cong :premises (@p163 @p162) :args ((=> @t12 @t90))) % 16.07/16.89 (assume-push @p242 @t12) % 16.07/16.89 (step @p166 :rule instantiate :premises (@p3) :args ((@list @t60 tptp.b @t31))) % 16.07/16.89 (step-pop @p243 :rule scope :premises (@p166)) % 16.07/16.89 (step @p167 :rule process_scope :premises (@p243) :args (@t90)) % 16.07/16.89 (step @p169 :rule eq_resolve :premises (@p167 @p164)) % 16.07/16.89 (step @p170 :rule implies_elim :premises (@p169)) % 16.07/16.89 (step @p171 :rule chain_m_resolution :premises (@p170 @p3) :args (@t91 (@list false) (@list @t12))) % 16.07/16.89 (step @p172 :rule refl :args (@t92)) % 16.07/16.89 (step @p173 :rule refl :args (@t93)) % 16.07/16.89 (step @p174 :rule refl :args (@t95)) % 16.07/16.89 (step @p175 :rule bool-double-not-elim :args (@t39)) % 16.07/16.89 (step @p176 :rule refl :args (@t97)) % 16.07/16.89 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174 @p173 @p172) :args ((or @t97 (not @t55) @t95 @t93 @t92))) % 16.07/16.89 (assume-push @p244 @t91) % 16.07/16.89 (assume-push @p245 @t94) % 16.07/16.89 (assume-push @p246 @t55) % 16.07/16.89 (assume-push @p247 @t85) % 16.07/16.89 (assume-push @p248 @t96) % 16.07/16.89 (step @p117 :rule evaluate :args (@t80)) % 16.07/16.89 (step @p183 :rule false_intro :premises (@p80)) % 16.07/16.89 (step @p184 :rule symm :premises (@p84)) % 16.07/16.89 (step @p185 :rule refl :args (@t31)) % 16.07/16.89 (step @p186 :rule symm :premises (@p20)) % 16.07/16.89 (step @p187 :rule cong :premises (@p186 @p185) :args (@t89)) % 16.07/16.89 (step @p188 :rule trans :premises (@p171 @p187 @p184)) % 16.07/16.89 (step @p189 :rule cong :premises (@p188) :args (@t85)) % 16.07/16.89 (step @p190 :rule true_intro :premises (@p247)) % 16.07/16.89 (step @p191 :rule symm :premises (@p190)) % 16.07/16.89 (step @p192 :rule trans :premises (@p191 @p189 @p183)) % 16.07/16.89 (step @p193 false :rule eq_resolve :premises (@p192 @p117)) % 16.07/16.89 (step-pop @p249 :rule scope :premises (@p193)) % 16.07/16.89 (step-pop @p250 :rule scope :premises (@p249)) % 16.07/16.89 (step-pop @p251 :rule scope :premises (@p250)) % 16.07/16.89 (step-pop @p252 :rule scope :premises (@p251)) % 16.07/16.89 (step-pop @p253 :rule scope :premises (@p252)) % 16.07/16.89 (step @p194 :rule process_scope :premises (@p253) :args (false)) % 16.07/16.89 (assume-push @p254 @t96) % 16.07/16.89 (assume-push @p255 @t55) % 16.07/16.89 (assume-push @p256 @t94) % 16.07/16.89 (assume-push @p257 @t85) % 16.07/16.89 (assume-push @p258 @t91) % 16.07/16.89 (step @p205 :rule and_intro :premises (@p171 @p84 @p80 @p257 @p20)) % 16.07/16.89 (step-pop @p259 :rule scope :premises (@p205)) % 16.07/16.89 (step-pop @p260 :rule scope :premises (@p259)) % 16.07/16.89 (step-pop @p261 :rule scope :premises (@p260)) % 16.07/16.89 (step-pop @p262 :rule scope :premises (@p261)) % 16.07/16.89 (step-pop @p263 :rule scope :premises (@p262)) % 16.07/16.89 (step @p206 :rule process_scope :premises (@p263) :args (@t98)) % 16.07/16.89 (step @p212 :rule implies_elim :premises (@p206)) % 16.07/16.89 (step @p213 :rule resolution :premises (@p212 @p194) :args (true @t98)) % 16.07/16.89 (step @p214 :rule not_and :premises (@p213)) % 16.07/16.89 (step @p215 :rule eq_resolve :premises (@p214 @p177)) % 16.07/16.89 (step @p216 :rule reordering :premises (@p215) :args ((or @t39 @t97 @t95 @t93 @t92))) % 16.07/16.89 (step @p217 false :rule chain_m_resolution :premises (@p216 @p171 @p161 @p84 @p80 @p20) :args (false (@list false false false true false) (@list @t91 @t85 @t94 @t39 @t96))) % 16.07/16.89 ) % 16.07/16.89 % SZS output end Proof % 16.07/16.89 % cvc5 exiting %------------------------------------------------------------------------------