%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP446-1 : 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 : n003.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 08:20:44 AM UTC 2026 % Result : Unsatisfiable 17.02s 17.25s % Output : Proof 17.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP446-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 01:08:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 17.02/17.25 % SZS status Unsatisfiable % 17.02/17.25 % SZS output start Proof % 17.02/17.25 ( % 17.02/17.25 (declare-sort $$unsorted 0) % 17.02/17.25 (declare-const tptp.b2 $$unsorted) % 17.02/17.25 (declare-const tptp.a2 $$unsorted) % 17.02/17.25 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.02/17.25 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 17.02/17.25 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 17.02/17.25 (define @t1 () (@var "B" $$unsorted)) % 17.02/17.25 (define @t2 () (@var "C" $$unsorted)) % 17.02/17.25 (define @t3 () (@var "A" $$unsorted)) % 17.02/17.25 (define @t4 () (tptp.divide @t3 @t3)) % 17.02/17.25 (define @t5 () (tptp.divide @t3 (tptp.divide (tptp.divide (tptp.divide @t4 @t1) @t2) (tptp.divide (tptp.divide @t4 @t3) @t2)))) % 17.02/17.25 (define @t6 () (@list @t3 @t1 @t2)) % 17.02/17.25 (define @t7 () (forall @t6 (= @t5 @t1))) % 17.02/17.25 (define @t8 () (forall (@list @t3 @t1) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t1 @t1) @t3)))) % 17.02/17.25 (define @t9 () (tptp.inverse tptp.b2)) % 17.02/17.25 (define @t10 () (tptp.multiply @t9 tptp.b2)) % 17.02/17.25 (define @t11 () (tptp.multiply @t10 tptp.a2)) % 17.02/17.25 (define @t12 () (tptp.inverse tptp.a2)) % 17.02/17.25 (define @t13 () (tptp.divide tptp.b2 tptp.b2)) % 17.02/17.25 (define @t14 () (tptp.divide @t13 tptp.a2)) % 17.02/17.25 (define @t15 () (= @t12 @t14)) % 17.02/17.25 (define @t16 () (@list tptp.a2 tptp.b2)) % 17.02/17.25 (define @t17 () (= @t14 @t12)) % 17.02/17.25 (define @t18 () (@list false)) % 17.02/17.25 (define @t19 () (@list @t8)) % 17.02/17.25 (define @t20 () (tptp.inverse @t13)) % 17.02/17.25 (define @t21 () (tptp.divide @t13 @t13)) % 17.02/17.25 (define @t22 () (= @t20 @t21)) % 17.02/17.25 (define @t23 () (@list @t13 tptp.b2)) % 17.02/17.25 (define @t24 () (= @t21 @t20)) % 17.02/17.25 (define @t25 () (tptp.divide @t13 tptp.b2)) % 17.02/17.25 (define @t26 () (tptp.divide @t25 tptp.b2)) % 17.02/17.25 (define @t27 () (tptp.divide @t26 @t26)) % 17.02/17.25 (define @t28 () (tptp.inverse @t27)) % 17.02/17.25 (define @t29 () (tptp.divide @t27 @t27)) % 17.02/17.25 (define @t30 () (= @t28 @t29)) % 17.02/17.25 (define @t31 () (@list @t27 @t26)) % 17.02/17.25 (define @t32 () (= @t29 @t28)) % 17.02/17.25 (define @t33 () (tptp.divide @t25 tptp.a2)) % 17.02/17.25 (define @t34 () (tptp.divide @t33 @t33)) % 17.02/17.25 (define @t35 () (tptp.divide tptp.a2 tptp.a2)) % 17.02/17.25 (define @t36 () (tptp.inverse @t35)) % 17.02/17.25 (define @t37 () (tptp.divide @t35 @t35)) % 17.02/17.25 (define @t38 () (= @t36 @t37)) % 17.02/17.25 (define @t39 () (= @t37 @t36)) % 17.02/17.25 (define @t40 () (tptp.inverse @t14)) % 17.02/17.25 (define @t41 () (tptp.divide @t13 @t14)) % 17.02/17.25 (define @t42 () (= @t40 @t41)) % 17.02/17.25 (define @t43 () (= @t41 @t40)) % 17.02/17.25 (define @t44 () (tptp.divide @t21 @t13)) % 17.02/17.25 (define @t45 () (tptp.divide @t44 tptp.a2)) % 17.02/17.25 (define @t46 () (tptp.divide @t45 @t45)) % 17.02/17.25 (define @t47 () (tptp.divide (tptp.divide (tptp.divide @t21 tptp.a2) tptp.a2) @t45)) % 17.02/17.25 (define @t48 () (= @t9 @t25)) % 17.02/17.25 (define @t49 () (tptp.divide @t35 tptp.b2)) % 17.02/17.25 (define @t50 () (= @t9 @t49)) % 17.02/17.25 (define @t51 () (tptp.divide @t35 tptp.a2)) % 17.02/17.25 (define @t52 () (= @t12 @t51)) % 17.02/17.25 (define @t53 () (= @t10 (tptp.divide @t9 @t25))) % 17.02/17.25 (define @t54 () (tptp.divide @t21 tptp.b2)) % 17.02/17.25 (define @t55 () (= @t9 @t54)) % 17.02/17.25 (define @t56 () (tptp.divide @t35 @t13)) % 17.02/17.25 (define @t57 () (= @t20 @t56)) % 17.02/17.25 (define @t58 () (= @t20 @t44)) % 17.02/17.25 (define @t59 () (tptp.divide @t29 tptp.b2)) % 17.02/17.25 (define @t60 () (= @t9 @t59)) % 17.02/17.25 (define @t61 () (= @t12 (tptp.divide @t29 tptp.a2))) % 17.02/17.25 (define @t62 () (tptp.divide @t13 @t27)) % 17.02/17.25 (define @t63 () (= @t28 @t62)) % 17.02/17.25 (define @t64 () (tptp.divide @t34 @t34)) % 17.02/17.25 (define @t65 () (tptp.divide @t64 @t13)) % 17.02/17.25 (define @t66 () (= @t20 @t65)) % 17.02/17.25 (define @t67 () (= @t28 (tptp.divide @t64 @t27))) % 17.02/17.25 (define @t68 () (tptp.divide @t54 @t26)) % 17.02/17.25 (define @t69 () (tptp.divide tptp.b2 @t68)) % 17.02/17.25 (define @t70 () (= @t13 @t69)) % 17.02/17.25 (define @t71 () (= @t27 (tptp.divide tptp.b2 (tptp.divide (tptp.divide @t62 tptp.b2) @t26)))) % 17.02/17.25 (define @t72 () (tptp.divide @t37 tptp.b2)) % 17.02/17.25 (define @t73 () (= @t9 @t72)) % 17.02/17.25 (define @t74 () (tptp.divide @t13 @t35)) % 17.02/17.25 (define @t75 () (= @t36 @t74)) % 17.02/17.25 (define @t76 () (= @t35 (tptp.divide tptp.b2 (tptp.divide (tptp.divide @t74 tptp.b2) @t26)))) % 17.02/17.25 (define @t77 () (tptp.divide @t51 tptp.b2)) % 17.02/17.25 (define @t78 () (tptp.divide @t56 tptp.b2)) % 17.02/17.25 (define @t79 () (tptp.divide @t78 @t77)) % 17.02/17.25 (define @t80 () (tptp.divide tptp.a2 @t79)) % 17.02/17.25 (define @t81 () (= @t13 @t80)) % 17.02/17.25 (define @t82 () (tptp.divide @t9 @t9)) % 17.02/17.25 (define @t83 () (tptp.divide @t82 @t14)) % 17.02/17.25 (define @t84 () (= @t40 @t83)) % 17.02/17.25 (define @t85 () (= @t11 (tptp.divide @t10 @t14))) % 17.02/17.25 (define @t86 () (= tptp.a2 (tptp.divide @t13 @t47))) % 17.02/17.25 (define @t87 () (tptp.divide @t13 @t46)) % 17.02/17.25 (define @t88 () (= @t13 @t87)) % 17.02/17.25 (define @t89 () (= @t46 (tptp.divide tptp.a2 (tptp.divide (tptp.divide (tptp.divide @t35 @t46) tptp.b2) @t77)))) % 17.02/17.25 (define @t90 () (tptp.divide @t51 @t14)) % 17.02/17.25 (define @t91 () (= tptp.a2 (tptp.divide tptp.a2 (tptp.divide @t90 @t90)))) % 17.02/17.25 (define @t92 () (tptp.divide @t44 @t21)) % 17.02/17.25 (define @t93 () (tptp.divide @t21 @t47)) % 17.02/17.25 (define @t94 () (tptp.divide @t93 @t21)) % 17.02/17.25 (define @t95 () (tptp.divide @t94 @t92)) % 17.02/17.25 (define @t96 () (tptp.divide @t13 @t95)) % 17.02/17.25 (define @t97 () (= @t47 @t96)) % 17.02/17.25 (define @t98 () (= tptp.a2 @t11)) % 17.02/17.25 (define @t99 () (and @t48 @t50 @t17 @t52 @t53 @t55 @t24 @t57 @t58 @t60 @t61 @t63 @t32 @t66 @t67 @t70 @t71 @t73 @t75 @t39 @t76 @t81 @t43 @t84 @t85 @t86 @t88 @t89 @t91 @t97)) % 17.02/17.25 (assume @p1 @t7) % 17.02/17.25 (assume @p2 (forall @t6 (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide (tptp.divide @t2 @t2) @t1))))) % 17.02/17.25 (assume @p3 @t8) % 17.02/17.25 (assume @p4 (not (= @t11 tptp.a2))) % 17.02/17.25 (step @p5 :rule symm :premises (@p4)) % 17.02/17.25 (step @p6 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.b2))) % 17.02/17.25 (step @p7 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.a2))) % 17.02/17.25 (step @p8 :rule eq-symm :args (@t12 @t14)) % 17.02/17.25 (step @p9 :rule refl :args (@t8)) % 17.02/17.25 (step @p10 :rule cong :premises (@p9 @p8) :args ((=> @t8 @t15))) % 17.02/17.25 (assume-push @p229 @t8) % 17.02/17.25 (step @p12 :rule instantiate :premises (@p3) :args (@t16)) % 17.02/17.25 (step-pop @p230 :rule scope :premises (@p12)) % 17.02/17.25 (step @p13 :rule process_scope :premises (@p230) :args (@t15)) % 17.02/17.25 (step @p15 :rule eq_resolve :premises (@p13 @p10)) % 17.02/17.25 (step @p16 :rule implies_elim :premises (@p15)) % 17.02/17.25 (step @p17 :rule chain_m_resolution :premises (@p16 @p3) :args (@t17 @t18 @t19)) % 17.02/17.25 (step @p18 :rule instantiate :premises (@p3) :args ((@list tptp.a2 tptp.a2))) % 17.02/17.25 (step @p19 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.b2 tptp.b2))) % 17.02/17.25 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.b2 @t13))) % 17.02/17.25 (step @p21 :rule eq-symm :args (@t20 @t21)) % 17.02/17.25 (step @p22 :rule cong :premises (@p9 @p21) :args ((=> @t8 @t22))) % 17.02/17.25 (assume-push @p231 @t8) % 17.02/17.25 (step @p24 :rule instantiate :premises (@p3) :args (@t23)) % 17.02/17.25 (step-pop @p232 :rule scope :premises (@p24)) % 17.02/17.25 (step @p25 :rule process_scope :premises (@p232) :args (@t22)) % 17.02/17.25 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 17.02/17.25 (step @p28 :rule implies_elim :premises (@p27)) % 17.02/17.25 (step @p29 :rule chain_m_resolution :premises (@p28 @p3) :args (@t24 @t18 @t19)) % 17.02/17.25 (step @p30 :rule instantiate :premises (@p3) :args ((@list @t13 tptp.a2))) % 17.02/17.25 (step @p31 :rule instantiate :premises (@p3) :args ((@list @t13 @t13))) % 17.02/17.25 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.b2 @t27))) % 17.02/17.25 (step @p33 :rule instantiate :premises (@p3) :args ((@list tptp.a2 @t27))) % 17.02/17.25 (step @p34 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.b2))) % 17.02/17.25 (step @p35 :rule eq-symm :args (@t28 @t29)) % 17.02/17.25 (step @p36 :rule cong :premises (@p9 @p35) :args ((=> @t8 @t30))) % 17.02/17.25 (assume-push @p233 @t8) % 17.02/17.25 (step @p38 :rule instantiate :premises (@p3) :args (@t31)) % 17.02/17.25 (step-pop @p234 :rule scope :premises (@p38)) % 17.02/17.25 (step @p39 :rule process_scope :premises (@p234) :args (@t30)) % 17.02/17.25 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 17.02/17.25 (step @p42 :rule implies_elim :premises (@p41)) % 17.02/17.25 (step @p43 :rule chain_m_resolution :premises (@p42 @p3) :args (@t32 @t18 @t19)) % 17.02/17.25 (step @p44 :rule instantiate :premises (@p3) :args ((@list @t13 @t34))) % 17.02/17.25 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t27 @t34))) % 17.02/17.25 (step @p46 :rule eq-symm :args (@t5 @t1)) % 17.02/17.25 (step @p47 :rule cong :premises (@p46) :args (@t7)) % 17.02/17.25 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 17.02/17.25 (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.b2 @t13 tptp.b2))) % 17.02/17.25 (step @p50 :rule instantiate :premises (@p48) :args ((@list tptp.b2 @t27 tptp.b2))) % 17.02/17.25 (step @p51 :rule instantiate :premises (@p3) :args ((@list tptp.b2 @t35))) % 17.02/17.25 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t35 tptp.b2))) % 17.02/17.25 (step @p53 :rule eq-symm :args (@t36 @t37)) % 17.02/17.25 (step @p54 :rule cong :premises (@p9 @p53) :args ((=> @t8 @t38))) % 17.02/17.25 (assume-push @p235 @t8) % 17.02/17.25 (step @p56 :rule instantiate :premises (@p3) :args ((@list @t35 tptp.a2))) % 17.02/17.25 (step-pop @p236 :rule scope :premises (@p56)) % 17.02/17.25 (step @p57 :rule process_scope :premises (@p236) :args (@t38)) % 17.02/17.25 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 17.02/17.25 (step @p60 :rule implies_elim :premises (@p59)) % 17.02/17.25 (step @p61 :rule chain_m_resolution :premises (@p60 @p3) :args (@t39 @t18 @t19)) % 17.02/17.25 (step @p62 :rule instantiate :premises (@p48) :args ((@list tptp.b2 @t35 tptp.b2))) % 17.02/17.25 (step @p63 :rule instantiate :premises (@p48) :args ((@list tptp.a2 @t13 tptp.b2))) % 17.02/17.25 (step @p64 :rule eq-symm :args (@t40 @t41)) % 17.02/17.25 (step @p65 :rule cong :premises (@p9 @p64) :args ((=> @t8 @t42))) % 17.02/17.25 (assume-push @p237 @t8) % 17.02/17.25 (step @p67 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.b2))) % 17.02/17.25 (step-pop @p238 :rule scope :premises (@p67)) % 17.02/17.25 (step @p68 :rule process_scope :premises (@p238) :args (@t42)) % 17.02/17.25 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 17.02/17.25 (step @p71 :rule implies_elim :premises (@p70)) % 17.02/17.25 (step @p72 :rule chain_m_resolution :premises (@p71 @p3) :args (@t43 @t18 @t19)) % 17.02/17.25 (step @p73 :rule instantiate :premises (@p3) :args ((@list @t14 @t9))) % 17.02/17.25 (step @p74 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.a2 tptp.b2))) % 17.02/17.25 (step @p75 :rule instantiate :premises (@p48) :args ((@list @t13 tptp.a2 tptp.a2))) % 17.02/17.25 (step @p76 :rule instantiate :premises (@p48) :args ((@list @t13 @t13 tptp.a2))) % 17.02/17.25 (step @p77 :rule instantiate :premises (@p48) :args ((@list tptp.a2 @t46 tptp.b2))) % 17.02/17.25 (step @p78 :rule instantiate :premises (@p48) :args ((@list tptp.a2 tptp.a2 @t14))) % 17.02/17.25 (step @p79 :rule instantiate :premises (@p48) :args ((@list @t13 @t47 @t21))) % 17.02/17.25 (assume-push @p239 @t48) % 17.02/17.25 (assume-push @p240 @t50) % 17.02/17.25 (assume-push @p241 @t17) % 17.02/17.25 (assume-push @p242 @t52) % 17.02/17.25 (assume-push @p243 @t53) % 17.02/17.25 (assume-push @p244 @t55) % 17.02/17.25 (assume-push @p245 @t24) % 17.02/17.25 (assume-push @p246 @t57) % 17.02/17.25 (assume-push @p247 @t58) % 17.02/17.25 (assume-push @p248 @t60) % 17.02/17.25 (assume-push @p249 @t61) % 17.02/17.25 (assume-push @p250 @t63) % 17.02/17.25 (assume-push @p251 @t32) % 17.02/17.25 (assume-push @p252 @t66) % 17.02/17.25 (assume-push @p253 @t67) % 17.02/17.25 (assume-push @p254 @t70) % 17.02/17.25 (assume-push @p255 @t71) % 17.02/17.25 (assume-push @p256 @t73) % 17.02/17.25 (assume-push @p257 @t75) % 17.02/17.25 (assume-push @p258 @t39) % 17.02/17.25 (assume-push @p259 @t76) % 17.02/17.25 (assume-push @p260 @t81) % 17.02/17.25 (assume-push @p261 @t43) % 17.02/17.25 (assume-push @p262 @t84) % 17.02/17.25 (assume-push @p263 @t85) % 17.02/17.25 (assume-push @p264 @t86) % 17.02/17.25 (assume-push @p265 @t88) % 17.02/17.25 (assume-push @p266 @t89) % 17.02/17.25 (assume-push @p267 @t91) % 17.02/17.25 (assume-push @p268 @t97) % 17.02/17.25 (step @p110 :rule symm :premises (@p74)) % 17.02/17.25 (step @p111 :rule refl :args (@t14)) % 17.02/17.25 (step @p112 :rule symm :premises (@p19)) % 17.02/17.25 (step @p113 :rule refl :args (@t9)) % 17.02/17.25 (step @p114 :rule cong :premises (@p113 @p6) :args (@t82)) % 17.02/17.25 (step @p115 :rule trans :premises (@p114 @p112)) % 17.02/17.25 (step @p116 :rule cong :premises (@p115 @p111) :args (@t83)) % 17.02/17.25 (step @p117 :rule symm :premises (@p78)) % 17.02/17.25 (step @p118 :rule trans :premises (@p17 @p18)) % 17.02/17.25 (step @p119 :rule cong :premises (@p118 @p111) :args ((tptp.divide @t14 @t14))) % 17.02/17.25 (step @p12 :rule instantiate :premises (@p3) :args (@t16)) % 17.02/17.25 (step @p120 :rule symm :premises (@p33)) % 17.02/17.25 (step @p121 :rule refl :args (tptp.a2)) % 17.02/17.25 (step @p38 :rule instantiate :premises (@p3) :args (@t31)) % 17.02/17.25 (step @p122 :rule symm :premises (@p45)) % 17.02/17.25 (step @p123 :rule symm :premises (@p50)) % 17.02/17.25 (step @p124 :rule refl :args (@t26)) % 17.02/17.25 (step @p125 :rule refl :args (tptp.b2)) % 17.02/17.25 (step @p126 :rule trans :premises (@p43 @p34)) % 17.02/17.25 (step @p127 :rule cong :premises (@p126 @p125) :args (@t59)) % 17.02/17.25 (step @p128 :rule symm :premises (@p6)) % 17.02/17.25 (step @p129 :rule trans :premises (@p128 @p32 @p127)) % 17.02/17.25 (step @p130 :rule symm :premises (@p20)) % 17.02/17.25 (step @p131 :rule trans :premises (@p130 @p6)) % 17.02/17.25 (step @p132 :rule trans :premises (@p131 @p129)) % 17.02/17.25 (step @p133 :rule cong :premises (@p132 @p124) :args (@t68)) % 17.02/17.25 (step @p134 :rule cong :premises (@p125 @p133) :args (@t69)) % 17.02/17.25 (step @p135 :rule trans :premises (@p49 @p134 @p123)) % 17.02/17.25 (step @p136 :rule refl :args (@t64)) % 17.02/17.25 (step @p137 :rule cong :premises (@p136 @p135) :args (@t65)) % 17.02/17.25 (step @p138 :rule symm :premises (@p31)) % 17.02/17.25 (step @p139 :rule trans :premises (@p138 @p44 @p137 @p122 @p38)) % 17.02/17.25 (step @p140 :rule cong :premises (@p139 @p121) :args (@t45)) % 17.02/17.25 (step @p141 :rule trans :premises (@p140 @p120 @p12)) % 17.02/17.25 (step @p142 :rule cong :premises (@p141 @p141) :args (@t46)) % 17.02/17.25 (step @p143 :rule symm :premises (@p77)) % 17.02/17.25 (step @p144 :rule refl :args (@t77)) % 17.02/17.25 (step @p145 :rule refl :args (@t46)) % 17.02/17.25 (step @p146 :rule symm :premises (@p62)) % 17.02/17.25 (step @p147 :rule trans :premises (@p61 @p52)) % 17.02/17.25 (step @p148 :rule cong :premises (@p147 @p125) :args (@t72)) % 17.02/17.25 (step @p149 :rule trans :premises (@p128 @p51 @p148)) % 17.02/17.25 (step @p150 :rule trans :premises (@p131 @p149)) % 17.02/17.25 (step @p151 :rule cong :premises (@p150 @p124) :args (@t68)) % 17.02/17.25 (step @p152 :rule cong :premises (@p125 @p151) :args (@t69)) % 17.02/17.25 (step @p153 :rule trans :premises (@p49 @p152 @p146)) % 17.02/17.25 (step @p154 :rule cong :premises (@p153 @p145) :args (@t87)) % 17.02/17.25 (step @p155 :rule trans :premises (@p76 @p154)) % 17.02/17.25 (step @p156 :rule symm :premises (@p153)) % 17.02/17.25 (step @p157 :rule trans :premises (@p156 @p155)) % 17.02/17.25 (step @p158 :rule cong :premises (@p157 @p125) :args (@t49)) % 17.02/17.25 (step @p159 :rule trans :premises (@p128 @p7 @p158)) % 17.02/17.25 (step @p160 :rule symm :premises (@p32)) % 17.02/17.25 (step @p161 :rule symm :premises (@p30)) % 17.02/17.25 (step @p162 :rule trans :premises (@p161 @p44 @p137 @p122 @p38)) % 17.02/17.25 (step @p163 :rule cong :premises (@p162 @p125) :args (@t78)) % 17.02/17.25 (step @p164 :rule trans :premises (@p163 @p160 @p6)) % 17.02/17.25 (step @p165 :rule trans :premises (@p164 @p159)) % 17.02/17.25 (step @p166 :rule cong :premises (@p165 @p144) :args (@t79)) % 17.02/17.25 (step @p167 :rule cong :premises (@p121 @p166) :args (@t80)) % 17.02/17.25 (step @p168 :rule trans :premises (@p63 @p167 @p143 @p142 @p119)) % 17.02/17.25 (step @p169 :rule cong :premises (@p168 @p168) :args (@t21)) % 17.02/17.25 (step @p170 :rule cong :premises (@p121 @p169) :args ((tptp.divide tptp.a2 @t21))) % 17.02/17.25 (step @p171 :rule symm :premises (@p76)) % 17.02/17.25 (step @p172 :rule symm :premises (@p154)) % 17.02/17.25 (step @p173 :rule trans :premises (@p63 @p167 @p143)) % 17.02/17.25 (step @p174 :rule cong :premises (@p153 @p173) :args (@t21)) % 17.02/17.25 (step @p175 :rule trans :premises (@p174 @p172 @p171)) % 17.02/17.25 (step @p24 :rule instantiate :premises (@p3) :args (@t23)) % 17.02/17.25 (step @p176 :rule trans :premises (@p138 @p24 @p174 @p172 @p171)) % 17.02/17.25 (step @p177 :rule cong :premises (@p176 @p175) :args (@t92)) % 17.02/17.25 (step @p178 :rule refl :args (@t21)) % 17.02/17.25 (step @p179 :rule symm :premises (@p75)) % 17.02/17.25 (step @p180 :rule refl :args (@t47)) % 17.02/17.25 (step @p181 :rule cong :premises (@p175 @p180) :args (@t93)) % 17.02/17.25 (step @p182 :rule trans :premises (@p181 @p179)) % 17.02/17.25 (step @p183 :rule cong :premises (@p182 @p178) :args (@t94)) % 17.02/17.25 (step @p184 :rule trans :premises (@p183 @p170 @p117)) % 17.02/17.25 (step @p185 :rule cong :premises (@p184 @p177) :args (@t95)) % 17.02/17.25 (step @p186 :rule trans :premises (@p185 @p170 @p117)) % 17.02/17.25 (step @p187 :rule refl :args (@t13)) % 17.02/17.25 (step @p188 :rule cong :premises (@p187 @p186) :args (@t96)) % 17.02/17.25 (step @p189 :rule trans :premises (@p79 @p188)) % 17.02/17.25 (step @p190 :rule cong :premises (@p175 @p189) :args (@t93)) % 17.02/17.25 (step @p191 :rule symm :premises (@p181)) % 17.02/17.25 (step @p192 :rule trans :premises (@p75 @p191 @p190 @p72 @p73 @p116 @p110)) % 17.02/17.25 (step-pop @p269 :rule scope :premises (@p192)) % 17.02/17.25 (step-pop @p270 :rule scope :premises (@p269)) % 17.02/17.25 (step-pop @p271 :rule scope :premises (@p270)) % 17.02/17.25 (step-pop @p272 :rule scope :premises (@p271)) % 17.02/17.25 (step-pop @p273 :rule scope :premises (@p272)) % 17.02/17.25 (step-pop @p274 :rule scope :premises (@p273)) % 17.02/17.25 (step-pop @p275 :rule scope :premises (@p274)) % 17.02/17.25 (step-pop @p276 :rule scope :premises (@p275)) % 17.02/17.25 (step-pop @p277 :rule scope :premises (@p276)) % 17.02/17.25 (step-pop @p278 :rule scope :premises (@p277)) % 17.02/17.25 (step-pop @p279 :rule scope :premises (@p278)) % 17.02/17.25 (step-pop @p280 :rule scope :premises (@p279)) % 17.02/17.25 (step-pop @p281 :rule scope :premises (@p280)) % 17.02/17.25 (step-pop @p282 :rule scope :premises (@p281)) % 17.02/17.25 (step-pop @p283 :rule scope :premises (@p282)) % 17.02/17.26 (step-pop @p284 :rule scope :premises (@p283)) % 17.02/17.26 (step-pop @p285 :rule scope :premises (@p284)) % 17.02/17.26 (step-pop @p286 :rule scope :premises (@p285)) % 17.02/17.26 (step-pop @p287 :rule scope :premises (@p286)) % 17.02/17.26 (step-pop @p288 :rule scope :premises (@p287)) % 17.02/17.26 (step-pop @p289 :rule scope :premises (@p288)) % 17.02/17.26 (step-pop @p290 :rule scope :premises (@p289)) % 17.02/17.26 (step-pop @p291 :rule scope :premises (@p290)) % 17.02/17.26 (step-pop @p292 :rule scope :premises (@p291)) % 17.02/17.26 (step-pop @p293 :rule scope :premises (@p292)) % 17.02/17.26 (step-pop @p294 :rule scope :premises (@p293)) % 17.02/17.26 (step-pop @p295 :rule scope :premises (@p294)) % 17.02/17.26 (step-pop @p296 :rule scope :premises (@p295)) % 17.02/17.26 (step-pop @p297 :rule scope :premises (@p296)) % 17.02/17.26 (step-pop @p298 :rule scope :premises (@p297)) % 17.02/17.26 (step @p193 :rule process_scope :premises (@p298) :args (@t98)) % 17.02/17.26 (step @p224 :rule implies_elim :premises (@p193)) % 17.02/17.26 (step @p225 :rule cnf_and_neg :args (@t99)) % 17.02/17.26 (step @p226 :rule resolution :premises (@p225 @p224) :args (true @t99)) % 17.02/17.26 (step @p227 :rule reordering :premises (@p226) :args ((or @t98 (not @t48) (not @t50) (not @t17) (not @t52) (not @t53) (not @t55) (not @t24) (not @t57) (not @t58) (not @t60) (not @t61) (not @t63) (not @t32) (not @t66) (not @t67) (not @t70) (not @t71) (not @t73) (not @t75) (not @t39) (not @t76) (not @t81) (not @t43) (not @t84) (not @t85) (not @t86) (not @t88) (not @t89) (not @t91) (not @t97)))) % 17.02/17.26 (step @p228 false :rule chain_m_resolution :premises (@p227 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p63 @p62 @p61 @p52 @p51 @p50 @p49 @p45 @p44 @p43 @p34 @p33 @p32 @p31 @p30 @p29 @p20 @p19 @p18 @p17 @p7 @p6 @p5) :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 false false false false false false false true) (@list @t97 @t91 @t89 @t88 @t86 @t85 @t84 @t43 @t81 @t76 @t39 @t75 @t73 @t71 @t70 @t67 @t66 @t32 @t63 @t61 @t60 @t58 @t57 @t24 @t55 @t53 @t52 @t17 @t50 @t48 @t98))) % 17.02/17.26 ) % 17.02/17.26 % SZS output end Proof % 17.02/17.26 % cvc5 exiting %------------------------------------------------------------------------------