%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP578-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:20:58 AM UTC 2026 % Result : Unsatisfiable 15.99s 16.21s % Output : Proof 15.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP578-1 : TPTP v9.2.1. Released v2.6.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 01:17:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/16.16 --- Run --no-e-matching --full-saturate-quant at 6... % 15.99/16.21 % SZS status Unsatisfiable % 15.99/16.21 % SZS output start Proof % 15.99/16.22 ( % 15.99/16.22 (declare-sort $$unsorted 0) % 15.99/16.22 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.99/16.22 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.22 (declare-const tptp.a2 $$unsorted) % 15.99/16.22 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.22 (declare-const tptp.identity $$unsorted) % 15.99/16.22 (define @t1 () (@var "C" $$unsorted)) % 15.99/16.22 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 15.99/16.22 (define @t3 () (@var "B" $$unsorted)) % 15.99/16.22 (define @t4 () (@var "A" $$unsorted)) % 15.99/16.22 (define @t5 () (tptp.double_divide @t3 @t4)) % 15.99/16.22 (define @t6 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide @t5 @t1) (tptp.double_divide @t3 tptp.identity))) @t2)) % 15.99/16.22 (define @t7 () (forall (@list @t4 @t3 @t1) (= @t6 @t1))) % 15.99/16.22 (define @t8 () (tptp.inverse @t4)) % 15.99/16.22 (define @t9 () (@list @t4)) % 15.99/16.22 (define @t10 () (forall @t9 (= @t8 (tptp.double_divide @t4 tptp.identity)))) % 15.99/16.22 (define @t11 () (tptp.multiply tptp.identity tptp.a2)) % 15.99/16.22 (define @t12 () (tptp.inverse tptp.identity)) % 15.99/16.22 (define @t13 () (= @t12 @t2)) % 15.99/16.22 (define @t14 () (@list tptp.identity)) % 15.99/16.22 (define @t15 () (= @t2 @t12)) % 15.99/16.22 (define @t16 () (@list false)) % 15.99/16.22 (define @t17 () (@list @t10)) % 15.99/16.22 (define @t18 () (tptp.inverse @t2)) % 15.99/16.22 (define @t19 () (tptp.double_divide @t2 tptp.identity)) % 15.99/16.22 (define @t20 () (= @t18 @t19)) % 15.99/16.22 (define @t21 () (@list @t2)) % 15.99/16.22 (define @t22 () (= @t19 @t18)) % 15.99/16.22 (define @t23 () (@list tptp.a2)) % 15.99/16.22 (define @t24 () (tptp.double_divide @t2 @t2)) % 15.99/16.22 (define @t25 () (tptp.double_divide @t24 tptp.a2)) % 15.99/16.22 (define @t26 () (@list @t25)) % 15.99/16.22 (define @t27 () (tptp.inverse @t25)) % 15.99/16.22 (define @t28 () (tptp.double_divide @t25 @t19)) % 15.99/16.22 (define @t29 () (tptp.double_divide tptp.a2 tptp.identity)) % 15.99/16.22 (define @t30 () (tptp.double_divide tptp.a2 @t2)) % 15.99/16.22 (define @t31 () (tptp.double_divide (tptp.double_divide @t30 tptp.a2) @t29)) % 15.99/16.22 (define @t32 () (tptp.inverse @t30)) % 15.99/16.22 (define @t33 () (tptp.double_divide @t30 tptp.identity)) % 15.99/16.22 (define @t34 () (= @t32 @t33)) % 15.99/16.22 (define @t35 () (@list @t30)) % 15.99/16.22 (define @t36 () (= @t33 @t32)) % 15.99/16.22 (define @t37 () (tptp.inverse @t28)) % 15.99/16.22 (define @t38 () (tptp.double_divide @t30 @t28)) % 15.99/16.22 (define @t39 () (tptp.double_divide @t38 @t29)) % 15.99/16.22 (define @t40 () (tptp.inverse tptp.a2)) % 15.99/16.22 (define @t41 () (tptp.double_divide tptp.identity @t12)) % 15.99/16.22 (define @t42 () (= tptp.identity @t41)) % 15.99/16.22 (define @t43 () (tptp.double_divide tptp.identity @t2)) % 15.99/16.22 (define @t44 () (= @t12 (tptp.double_divide (tptp.double_divide @t2 (tptp.double_divide (tptp.double_divide @t43 @t12) @t2)) @t2))) % 15.99/16.22 (define @t45 () (tptp.double_divide @t24 @t2)) % 15.99/16.22 (define @t46 () (tptp.double_divide tptp.identity @t45)) % 15.99/16.22 (define @t47 () (tptp.double_divide @t46 @t2)) % 15.99/16.22 (define @t48 () (= @t2 @t47)) % 15.99/16.22 (define @t49 () (tptp.double_divide @t2 @t18)) % 15.99/16.22 (define @t50 () (= tptp.identity @t49)) % 15.99/16.22 (define @t51 () (= @t18 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t49 @t2)) @t2))) % 15.99/16.22 (define @t52 () (tptp.multiply @t2 tptp.a2)) % 15.99/16.22 (define @t53 () (= @t52 @t33)) % 15.99/16.22 (define @t54 () (= @t40 @t29)) % 15.99/16.22 (define @t55 () (tptp.double_divide tptp.a2 @t40)) % 15.99/16.22 (define @t56 () (= tptp.identity @t55)) % 15.99/16.22 (define @t57 () (tptp.double_divide @t25 tptp.identity)) % 15.99/16.22 (define @t58 () (= @t27 @t57)) % 15.99/16.22 (define @t59 () (tptp.double_divide @t25 @t27)) % 15.99/16.22 (define @t60 () (= tptp.identity @t59)) % 15.99/16.22 (define @t61 () (= @t27 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide @t59 (tptp.double_divide @t24 tptp.identity))) @t2))) % 15.99/16.22 (define @t62 () (= tptp.a2 (tptp.double_divide (tptp.double_divide @t2 @t31) @t2))) % 15.99/16.22 (define @t63 () (tptp.double_divide @t28 tptp.identity)) % 15.99/16.22 (define @t64 () (= @t37 @t63)) % 15.99/16.22 (define @t65 () (tptp.double_divide tptp.identity @t24)) % 15.99/16.22 (define @t66 () (tptp.double_divide @t65 @t31)) % 15.99/16.22 (define @t67 () (tptp.double_divide @t66 @t2)) % 15.99/16.22 (define @t68 () (tptp.double_divide @t24 @t67)) % 15.99/16.22 (define @t69 () (tptp.double_divide @t68 @t2)) % 15.99/16.22 (define @t70 () (= @t31 @t69)) % 15.99/16.22 (define @t71 () (tptp.double_divide @t30 @t32)) % 15.99/16.22 (define @t72 () (= tptp.identity @t71)) % 15.99/16.22 (define @t73 () (tptp.double_divide @t38 tptp.a2)) % 15.99/16.22 (define @t74 () (tptp.double_divide @t73 @t33)) % 15.99/16.22 (define @t75 () (tptp.double_divide @t28 @t74)) % 15.99/16.22 (define @t76 () (tptp.double_divide @t75 @t2)) % 15.99/16.22 (define @t77 () (= tptp.a2 @t76)) % 15.99/16.22 (define @t78 () (tptp.double_divide @t2 @t39)) % 15.99/16.22 (define @t79 () (tptp.double_divide @t78 @t2)) % 15.99/16.22 (define @t80 () (= @t28 @t79)) % 15.99/16.22 (define @t81 () (tptp.inverse @t37)) % 15.99/16.22 (define @t82 () (= @t81 (tptp.double_divide @t37 tptp.identity))) % 15.99/16.22 (define @t83 () (= @t39 (tptp.double_divide (tptp.double_divide @t2 (tptp.double_divide (tptp.double_divide @t43 @t39) @t2)) @t2))) % 15.99/16.22 (define @t84 () (= @t40 (tptp.double_divide (tptp.double_divide @t30 (tptp.double_divide (tptp.double_divide (tptp.double_divide @t38 @t30) @t40) (tptp.double_divide @t38 tptp.identity))) @t2))) % 15.99/16.22 (define @t85 () (tptp.double_divide @t2 tptp.a2)) % 15.99/16.22 (define @t86 () (tptp.double_divide @t30 @t2)) % 15.99/16.22 (define @t87 () (= tptp.a2 @t11)) % 15.99/16.22 (define @t88 () (and @t15 @t42 @t44 @t48 @t22 @t50 @t51 @t53 @t54 @t56 @t58 @t60 @t61 @t62 @t64 @t70 @t36 @t72 @t77 @t80 @t82 @t83 @t84)) % 15.99/16.22 (assume @p1 @t7) % 15.99/16.22 (assume @p2 (forall (@list @t4 @t3) (= (tptp.multiply @t4 @t3) (tptp.double_divide @t5 tptp.identity)))) % 15.99/16.22 (assume @p3 @t10) % 15.99/16.22 (assume @p4 (forall @t9 (= tptp.identity (tptp.double_divide @t4 @t8)))) % 15.99/16.22 (assume @p5 (not (= @t11 tptp.a2))) % 15.99/16.22 (step @p6 :rule symm :premises (@p5)) % 15.99/16.22 (step @p7 :rule eq-symm :args (@t12 @t2)) % 15.99/16.22 (step @p8 :rule refl :args (@t10)) % 15.99/16.22 (step @p9 :rule cong :premises (@p8 @p7) :args ((=> @t10 @t13))) % 15.99/16.22 (assume-push @p228 @t10) % 15.99/16.22 (step @p11 :rule instantiate :premises (@p3) :args (@t14)) % 15.99/16.22 (step-pop @p229 :rule scope :premises (@p11)) % 15.99/16.22 (step @p12 :rule process_scope :premises (@p229) :args (@t13)) % 15.99/16.22 (step @p14 :rule eq_resolve :premises (@p12 @p9)) % 15.99/16.22 (step @p15 :rule implies_elim :premises (@p14)) % 15.99/16.22 (step @p16 :rule chain_m_resolution :premises (@p15 @p3) :args (@t15 @t16 @t17)) % 15.99/16.22 (step @p17 :rule instantiate :premises (@p4) :args (@t14)) % 15.99/16.22 (step @p18 :rule eq-symm :args (@t6 @t1)) % 15.99/16.22 (step @p19 :rule cong :premises (@p18) :args (@t7)) % 15.99/16.22 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 15.99/16.22 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t2 tptp.identity @t12))) % 15.99/16.22 (step @p22 :rule instantiate :premises (@p20) :args ((@list tptp.identity tptp.identity @t2))) % 15.99/16.22 (step @p23 :rule eq-symm :args (@t18 @t19)) % 15.99/16.22 (step @p24 :rule cong :premises (@p8 @p23) :args ((=> @t10 @t20))) % 15.99/16.22 (assume-push @p230 @t10) % 15.99/16.22 (step @p26 :rule instantiate :premises (@p3) :args (@t21)) % 15.99/16.22 (step-pop @p231 :rule scope :premises (@p26)) % 15.99/16.22 (step @p27 :rule process_scope :premises (@p231) :args (@t20)) % 15.99/16.22 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 15.99/16.22 (step @p30 :rule implies_elim :premises (@p29)) % 15.99/16.22 (step @p31 :rule chain_m_resolution :premises (@p30 @p3) :args (@t22 @t16 @t17)) % 15.99/16.22 (step @p32 :rule instantiate :premises (@p4) :args (@t21)) % 15.99/16.22 (step @p33 :rule instantiate :premises (@p20) :args ((@list tptp.identity tptp.identity @t18))) % 15.99/16.22 (step @p34 :rule instantiate :premises (@p2) :args ((@list @t2 tptp.a2))) % 15.99/16.22 (step @p35 :rule instantiate :premises (@p3) :args (@t23)) % 15.99/16.22 (step @p36 :rule instantiate :premises (@p4) :args (@t23)) % 15.99/16.22 (step @p37 :rule instantiate :premises (@p3) :args (@t26)) % 15.99/16.22 (step @p38 :rule instantiate :premises (@p4) :args (@t26)) % 15.99/16.22 (step @p39 :rule instantiate :premises (@p20) :args ((@list tptp.a2 @t24 @t27))) % 15.99/16.22 (step @p40 :rule instantiate :premises (@p20) :args ((@list @t2 tptp.a2 tptp.a2))) % 15.99/16.22 (step @p41 :rule instantiate :premises (@p3) :args ((@list @t28))) % 15.99/16.22 (step @p42 :rule instantiate :premises (@p20) :args ((@list @t24 tptp.identity @t31))) % 15.99/16.22 (step @p43 :rule eq-symm :args (@t32 @t33)) % 15.99/16.22 (step @p44 :rule cong :premises (@p8 @p43) :args ((=> @t10 @t34))) % 15.99/16.22 (assume-push @p232 @t10) % 15.99/16.22 (step @p46 :rule instantiate :premises (@p3) :args (@t35)) % 15.99/16.22 (step-pop @p233 :rule scope :premises (@p46)) % 15.99/16.22 (step @p47 :rule process_scope :premises (@p233) :args (@t34)) % 15.99/16.22 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 15.99/16.22 (step @p50 :rule implies_elim :premises (@p49)) % 15.99/16.22 (step @p51 :rule chain_m_resolution :premises (@p50 @p3) :args (@t36 @t16 @t17)) % 15.99/16.22 (step @p52 :rule instantiate :premises (@p4) :args (@t35)) % 15.99/16.22 (step @p53 :rule instantiate :premises (@p20) :args ((@list @t28 @t30 tptp.a2))) % 15.99/16.22 (step @p54 :rule instantiate :premises (@p20) :args ((@list @t2 tptp.a2 @t28))) % 15.99/16.22 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t37))) % 15.99/16.22 (step @p56 :rule instantiate :premises (@p20) :args ((@list @t2 tptp.identity @t39))) % 15.99/16.22 (step @p57 :rule instantiate :premises (@p20) :args ((@list @t30 @t38 @t40))) % 15.99/16.22 (assume-push @p234 @t15) % 15.99/16.22 (assume-push @p235 @t42) % 15.99/16.22 (assume-push @p236 @t44) % 15.99/16.22 (assume-push @p237 @t48) % 15.99/16.22 (assume-push @p238 @t22) % 15.99/16.22 (assume-push @p239 @t50) % 15.99/16.22 (assume-push @p240 @t51) % 15.99/16.22 (assume-push @p241 @t53) % 15.99/16.22 (assume-push @p242 @t54) % 15.99/16.22 (assume-push @p243 @t56) % 15.99/16.22 (assume-push @p244 @t58) % 15.99/16.22 (assume-push @p245 @t60) % 15.99/16.22 (assume-push @p246 @t61) % 15.99/16.22 (assume-push @p247 @t62) % 15.99/16.22 (assume-push @p248 @t64) % 15.99/16.22 (assume-push @p249 @t70) % 15.99/16.22 (assume-push @p250 @t36) % 15.99/16.22 (assume-push @p251 @t72) % 15.99/16.22 (assume-push @p252 @t77) % 15.99/16.22 (assume-push @p253 @t80) % 15.99/16.22 (assume-push @p254 @t82) % 15.99/16.22 (assume-push @p255 @t83) % 15.99/16.22 (assume-push @p256 @t84) % 15.99/16.22 (step @p81 :rule refl :args (tptp.a2)) % 15.99/16.22 (step @p82 :rule symm :premises (@p17)) % 15.99/16.22 (step @p83 :rule symm :premises (@p21)) % 15.99/16.22 (step @p84 :rule refl :args (@t2)) % 15.99/16.22 (step @p11 :rule instantiate :premises (@p3) :args (@t14)) % 15.99/16.22 (step @p85 :rule refl :args (@t12)) % 15.99/16.22 (step @p86 :rule refl :args (tptp.identity)) % 15.99/16.22 (step @p87 :rule cong :premises (@p86 @p11) :args (@t41)) % 15.99/16.22 (step @p88 :rule trans :premises (@p17 @p87)) % 15.99/16.22 (step @p89 :rule cong :premises (@p88 @p85) :args (@t41)) % 15.99/16.22 (step @p90 :rule trans :premises (@p17 @p89)) % 15.99/16.22 (step @p91 :rule cong :premises (@p90 @p11) :args (@t41)) % 15.99/16.22 (step @p92 :rule trans :premises (@p17 @p91)) % 15.99/16.22 (step @p93 :rule cong :premises (@p84 @p92) :args (@t19)) % 15.99/16.22 (step @p26 :rule instantiate :premises (@p3) :args (@t21)) % 15.99/16.22 (step @p94 :rule symm :premises (@p33)) % 15.99/16.22 (step @p95 :rule cong :premises (@p32 @p11) :args (@t41)) % 15.99/16.22 (step @p96 :rule trans :premises (@p17 @p95)) % 15.99/16.22 (step @p97 :rule cong :premises (@p86 @p96) :args (@t2)) % 15.99/16.22 (step @p98 :rule cong :premises (@p97 @p84) :args (@t24)) % 15.99/16.22 (step @p99 :rule trans :premises (@p98 @p94 @p26)) % 15.99/16.22 (step @p100 :rule trans :premises (@p99 @p93)) % 15.99/16.22 (step @p101 :rule cong :premises (@p100 @p84) :args (@t45)) % 15.99/16.22 (step @p102 :rule trans :premises (@p101 @p83)) % 15.99/16.22 (step @p103 :rule cong :premises (@p86 @p102) :args (@t46)) % 15.99/16.22 (step @p104 :rule trans :premises (@p103 @p82)) % 15.99/16.22 (step @p105 :rule cong :premises (@p104 @p16) :args (@t47)) % 15.99/16.22 (step @p106 :rule trans :premises (@p22 @p105 @p82)) % 15.99/16.22 (step @p107 :rule cong :premises (@p106 @p81) :args (@t52)) % 15.99/16.22 (step @p108 :rule symm :premises (@p34)) % 15.99/16.22 (step @p46 :rule instantiate :premises (@p3) :args (@t35)) % 15.99/16.22 (step @p109 :rule symm :premises (@p106)) % 15.99/16.22 (step @p110 :rule cong :premises (@p81 @p109) :args (@t29)) % 15.99/16.22 (step @p111 :rule symm :premises (@p57)) % 15.99/16.22 (step @p112 :rule cong :premises (@p109) :args (@t12)) % 15.99/16.22 (step @p113 :rule symm :premises (@p22)) % 15.99/16.22 (step @p114 :rule symm :premises (@p105)) % 15.99/16.22 (step @p115 :rule trans :premises (@p17 @p114 @p113 @p16 @p112 @p26)) % 15.99/16.22 (step @p116 :rule symm :premises (@p98)) % 15.99/16.22 (step @p117 :rule trans :premises (@p17 @p114 @p113 @p16 @p112 @p33 @p116)) % 15.99/16.22 (step @p118 :rule trans :premises (@p106 @p117)) % 15.99/16.22 (step @p119 :rule cong :premises (@p118 @p81) :args (@t85)) % 15.99/16.22 (step @p120 :rule cong :premises (@p119 @p115) :args ((tptp.double_divide @t85 tptp.identity))) % 15.99/16.22 (step @p121 :rule symm :premises (@p119)) % 15.99/16.22 (step @p122 :rule cong :premises (@p121 @p86) :args (@t57)) % 15.99/16.22 (step @p123 :rule symm :premises (@p39)) % 15.99/16.22 (step @p124 :rule cong :premises (@p117 @p86) :args (@t2)) % 15.99/16.22 (step @p125 :rule trans :premises (@p17 @p114 @p113 @p124)) % 15.99/16.22 (step @p126 :rule cong :premises (@p38 @p125) :args (@t2)) % 15.99/16.22 (step @p127 :rule trans :premises (@p17 @p114 @p113 @p126)) % 15.99/16.22 (step @p128 :rule cong :premises (@p81 @p127) :args (@t29)) % 15.99/16.22 (step @p129 :rule symm :premises (@p110)) % 15.99/16.22 (step @p130 :rule trans :premises (@p129 @p128)) % 15.99/16.22 (step @p131 :rule cong :premises (@p130 @p84) :args (@t86)) % 15.99/16.22 (step @p132 :rule refl :args (@t30)) % 15.99/16.22 (step @p133 :rule cong :premises (@p132 @p109) :args (@t33)) % 15.99/16.22 (step @p134 :rule trans :premises (@p46 @p133 @p131 @p123 @p37 @p122 @p120)) % 15.99/16.22 (step @p135 :rule cong :premises (@p132 @p134) :args (@t71)) % 15.99/16.22 (step @p136 :rule trans :premises (@p52 @p135)) % 15.99/16.22 (step @p137 :rule cong :premises (@p136 @p86) :args (@t2)) % 15.99/16.22 (step @p138 :rule trans :premises (@p17 @p114 @p113 @p137)) % 15.99/16.22 (step @p139 :rule refl :args (@t40)) % 15.99/16.22 (step @p140 :rule refl :args (@t38)) % 15.99/16.22 (step @p141 :rule cong :premises (@p140 @p110) :args (@t39)) % 15.99/16.22 (step @p142 :rule symm :premises (@p56)) % 15.99/16.22 (step @p143 :rule refl :args (@t39)) % 15.99/16.22 (step @p144 :rule trans :premises (@p106 @p88)) % 15.99/16.22 (step @p145 :rule cong :premises (@p144 @p143) :args (@t78)) % 15.99/16.22 (step @p146 :rule cong :premises (@p145 @p84) :args (@t79)) % 15.99/16.22 (step @p147 :rule trans :premises (@p54 @p146)) % 15.99/16.22 (step @p148 :rule cong :premises (@p84 @p147) :args ((tptp.double_divide @t2 @t28))) % 15.99/16.22 (step @p149 :rule symm :premises (@p40)) % 15.99/16.22 (step @p150 :rule refl :args (@t31)) % 15.99/16.22 (step @p151 :rule symm :premises (@p117)) % 15.99/16.22 (step @p152 :rule cong :premises (@p86 @p151) :args (@t65)) % 15.99/16.22 (step @p153 :rule cong :premises (@p152 @p150) :args (@t66)) % 15.99/16.22 (step @p154 :rule cong :premises (@p153 @p84) :args (@t67)) % 15.99/16.22 (step @p155 :rule trans :premises (@p154 @p149)) % 15.99/16.22 (step @p156 :rule refl :args (@t24)) % 15.99/16.22 (step @p157 :rule cong :premises (@p156 @p155) :args (@t68)) % 15.99/16.22 (step @p158 :rule trans :premises (@p157 @p121)) % 15.99/16.22 (step @p159 :rule cong :premises (@p158 @p106) :args (@t69)) % 15.99/16.22 (step @p160 :rule trans :premises (@p42 @p159 @p120)) % 15.99/16.22 (step @p161 :rule cong :premises (@p152 @p160) :args (@t66)) % 15.99/16.22 (step @p162 :rule symm :premises (@p153)) % 15.99/16.22 (step @p163 :rule trans :premises (@p162 @p161 @p148)) % 15.99/16.22 (step @p164 :rule trans :premises (@p153 @p163)) % 15.99/16.22 (step @p165 :rule cong :premises (@p164 @p84) :args (@t67)) % 15.99/16.22 (step @p166 :rule symm :premises (@p154)) % 15.99/16.22 (step @p167 :rule trans :premises (@p40 @p166 @p165 @p142 @p141)) % 15.99/16.22 (step @p168 :rule cong :premises (@p167 @p139) :args (@t55)) % 15.99/16.22 (step @p169 :rule trans :premises (@p36 @p168)) % 15.99/16.22 (step @p170 :rule cong :premises (@p169 @p138) :args (@t2)) % 15.99/16.22 (step @p171 :rule cong :premises (@p132 @p170) :args (@t86)) % 15.99/16.22 (step @p172 :rule symm :premises (@p131)) % 15.99/16.22 (step @p173 :rule symm :premises (@p37)) % 15.99/16.22 (step @p174 :rule symm :premises (@p122)) % 15.99/16.22 (step @p175 :rule symm :premises (@p120)) % 15.99/16.22 (step @p176 :rule trans :premises (@p175 @p174 @p173 @p39 @p172)) % 15.99/16.22 (step @p177 :rule trans :premises (@p176 @p171)) % 15.99/16.22 (step @p178 :rule cong :premises (@p177 @p109) :args (@t63)) % 15.99/16.22 (step @p179 :rule trans :premises (@p41 @p178 @p111 @p35 @p110)) % 15.99/16.22 (step @p180 :rule cong :premises (@p179) :args (@t81)) % 15.99/16.22 (step @p181 :rule symm :premises (@p55)) % 15.99/16.22 (step @p182 :rule symm :premises (@p41)) % 15.99/16.22 (step @p183 :rule refl :args (@t28)) % 15.99/16.22 (step @p184 :rule cong :premises (@p183 @p106) :args ((tptp.double_divide @t28 @t2))) % 15.99/16.22 (step @p185 :rule trans :premises (@p184 @p182)) % 15.99/16.22 (step @p186 :rule symm :premises (@p184)) % 15.99/16.22 (step @p187 :rule symm :premises (@p38)) % 15.99/16.22 (step @p188 :rule trans :premises (@p133 @p131 @p123)) % 15.99/16.22 (step @p189 :rule symm :premises (@p136)) % 15.99/16.22 (step @p190 :rule trans :premises (@p189 @p117)) % 15.99/16.22 (step @p191 :rule cong :premises (@p190 @p81) :args (@t73)) % 15.99/16.22 (step @p192 :rule cong :premises (@p191 @p188) :args (@t74)) % 15.99/16.22 (step @p193 :rule trans :premises (@p192 @p187)) % 15.99/16.22 (step @p194 :rule cong :premises (@p183 @p193) :args (@t75)) % 15.99/16.22 (step @p195 :rule trans :premises (@p194 @p186)) % 15.99/16.22 (step @p196 :rule trans :premises (@p195 @p185)) % 15.99/16.22 (step @p197 :rule cong :premises (@p196 @p106) :args (@t76)) % 15.99/16.22 (step @p198 :rule trans :premises (@p53 @p197 @p181 @p180 @p46 @p108 @p107)) % 15.99/16.22 (step-pop @p257 :rule scope :premises (@p198)) % 15.99/16.22 (step-pop @p258 :rule scope :premises (@p257)) % 15.99/16.22 (step-pop @p259 :rule scope :premises (@p258)) % 15.99/16.22 (step-pop @p260 :rule scope :premises (@p259)) % 15.99/16.22 (step-pop @p261 :rule scope :premises (@p260)) % 15.99/16.22 (step-pop @p262 :rule scope :premises (@p261)) % 15.99/16.22 (step-pop @p263 :rule scope :premises (@p262)) % 15.99/16.22 (step-pop @p264 :rule scope :premises (@p263)) % 15.99/16.22 (step-pop @p265 :rule scope :premises (@p264)) % 15.99/16.22 (step-pop @p266 :rule scope :premises (@p265)) % 15.99/16.22 (step-pop @p267 :rule scope :premises (@p266)) % 15.99/16.22 (step-pop @p268 :rule scope :premises (@p267)) % 15.99/16.22 (step-pop @p269 :rule scope :premises (@p268)) % 15.99/16.22 (step-pop @p270 :rule scope :premises (@p269)) % 15.99/16.22 (step-pop @p271 :rule scope :premises (@p270)) % 15.99/16.22 (step-pop @p272 :rule scope :premises (@p271)) % 15.99/16.22 (step-pop @p273 :rule scope :premises (@p272)) % 15.99/16.22 (step-pop @p274 :rule scope :premises (@p273)) % 15.99/16.22 (step-pop @p275 :rule scope :premises (@p274)) % 15.99/16.22 (step-pop @p276 :rule scope :premises (@p275)) % 15.99/16.22 (step-pop @p277 :rule scope :premises (@p276)) % 15.99/16.22 (step-pop @p278 :rule scope :premises (@p277)) % 15.99/16.22 (step-pop @p279 :rule scope :premises (@p278)) % 15.99/16.22 (step @p199 :rule process_scope :premises (@p279) :args (@t87)) % 15.99/16.22 (step @p223 :rule implies_elim :premises (@p199)) % 15.99/16.22 (step @p224 :rule cnf_and_neg :args (@t88)) % 15.99/16.22 (step @p225 :rule resolution :premises (@p224 @p223) :args (true @t88)) % 15.99/16.22 (step @p226 :rule reordering :premises (@p225) :args ((or @t87 (not @t15) (not @t42) (not @t44) (not @t48) (not @t22) (not @t50) (not @t51) (not @t53) (not @t54) (not @t56) (not @t58) (not @t60) (not @t61) (not @t62) (not @t64) (not @t70) (not @t36) (not @t72) (not @t77) (not @t80) (not @t82) (not @t83) (not @t84)))) % 15.99/16.22 (step @p227 false :rule chain_m_resolution :premises (@p226 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p22 @p21 @p17 @p16 @p6) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t84 @t83 @t82 @t80 @t77 @t72 @t36 @t70 @t64 @t62 @t61 @t60 @t58 @t56 @t54 @t53 @t51 @t50 @t22 @t48 @t44 @t42 @t15 @t87))) % 15.99/16.22 ) % 15.99/16.22 % SZS output end Proof % 15.99/16.22 % cvc5 exiting %------------------------------------------------------------------------------