%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT023-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:29:38 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT023-1 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:43:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Unsatisfiable % 0.44/0.65 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.b $$unsorted) % 0.44/0.66 (declare-const tptp.a $$unsorted) % 0.44/0.66 (declare-const tptp.c $$unsorted) % 0.44/0.66 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.66 (define @t2 () (tptp.meet @t1 @t1)) % 0.44/0.66 (define @t3 () (@list @t1)) % 0.44/0.66 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.44/0.66 (define @t5 () (tptp.join @t1 @t1)) % 0.44/0.66 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.44/0.66 (define @t7 () (@var "Y" $$unsorted)) % 0.44/0.66 (define @t8 () (tptp.meet @t1 @t7)) % 0.44/0.66 (define @t9 () (@list @t1 @t7)) % 0.44/0.66 (define @t10 () (tptp.join @t1 @t7)) % 0.44/0.66 (define @t11 () (forall @t9 (= @t10 (tptp.join @t7 @t1)))) % 0.44/0.66 (define @t12 () (@var "Z" $$unsorted)) % 0.44/0.66 (define @t13 () (tptp.meet @t7 @t12)) % 0.44/0.66 (define @t14 () (@list @t1 @t7 @t12)) % 0.44/0.66 (define @t15 () (forall @t14 (= (tptp.meet @t8 @t12) (tptp.meet @t1 @t13)))) % 0.44/0.66 (define @t16 () (tptp.join @t7 @t12)) % 0.44/0.66 (define @t17 () (tptp.meet @t1 @t16)) % 0.44/0.66 (define @t18 () (tptp.join @t17 @t8)) % 0.44/0.66 (define @t19 () (forall @t14 (= @t18 @t17))) % 0.44/0.66 (define @t20 () (tptp.join @t1 @t13)) % 0.44/0.66 (define @t21 () (tptp.meet @t20 @t10)) % 0.44/0.66 (define @t22 () (forall @t14 (= @t21 @t20))) % 0.44/0.66 (define @t23 () (tptp.meet tptp.a tptp.c)) % 0.44/0.66 (define @t24 () (tptp.meet tptp.a tptp.b)) % 0.44/0.66 (define @t25 () (tptp.join @t24 @t23)) % 0.44/0.66 (define @t26 () (tptp.join tptp.b @t23)) % 0.44/0.66 (define @t27 () (tptp.meet tptp.a @t26)) % 0.44/0.66 (define @t28 () (= @t27 @t25)) % 0.44/0.66 (define @t29 () (tptp.join @t24 tptp.a)) % 0.44/0.66 (define @t30 () (tptp.join tptp.b tptp.a)) % 0.44/0.66 (define @t31 () (tptp.join tptp.a @t23)) % 0.44/0.66 (define @t32 () (tptp.join @t23 tptp.a)) % 0.44/0.66 (define @t33 () (= @t31 @t32)) % 0.44/0.66 (define @t34 () (@list tptp.a @t23)) % 0.44/0.66 (define @t35 () (= @t32 @t31)) % 0.44/0.66 (define @t36 () (@list false)) % 0.44/0.66 (define @t37 () (tptp.meet @t30 tptp.a)) % 0.44/0.66 (define @t38 () (tptp.join tptp.b tptp.c)) % 0.44/0.66 (define @t39 () (tptp.meet tptp.c tptp.a)) % 0.44/0.66 (define @t40 () (tptp.join tptp.b @t39)) % 0.44/0.66 (define @t41 () (tptp.meet tptp.a tptp.a)) % 0.44/0.66 (define @t42 () (tptp.meet @t41 tptp.c)) % 0.44/0.66 (define @t43 () (tptp.meet tptp.a @t23)) % 0.44/0.66 (define @t44 () (= @t42 @t43)) % 0.44/0.66 (define @t45 () (@list tptp.a tptp.a tptp.c)) % 0.44/0.66 (define @t46 () (= @t43 @t42)) % 0.44/0.66 (define @t47 () (tptp.meet @t25 @t29)) % 0.44/0.66 (define @t48 () (@list tptp.a)) % 0.44/0.66 (define @t49 () (tptp.join @t24 @t24)) % 0.44/0.66 (define @t50 () (tptp.join tptp.a tptp.a)) % 0.44/0.66 (define @t51 () (tptp.join tptp.a @t24)) % 0.44/0.66 (define @t52 () (= @t23 @t39)) % 0.44/0.66 (define @t53 () (tptp.meet @t26 tptp.a)) % 0.44/0.66 (define @t54 () (= @t27 @t53)) % 0.44/0.66 (define @t55 () (tptp.join @t23 tptp.b)) % 0.44/0.66 (define @t56 () (= @t26 @t55)) % 0.44/0.66 (define @t57 () (tptp.join @t23 @t24)) % 0.44/0.66 (define @t58 () (= @t25 @t57)) % 0.44/0.66 (define @t59 () (= @t25 @t47)) % 0.44/0.66 (define @t60 () (tptp.meet @t26 @t30)) % 0.44/0.66 (define @t61 () (= @t26 @t60)) % 0.44/0.66 (define @t62 () (tptp.meet @t29 @t25)) % 0.44/0.66 (define @t63 () (= @t47 @t62)) % 0.44/0.66 (define @t64 () (= @t29 @t51)) % 0.44/0.66 (define @t65 () (tptp.meet @t60 tptp.a)) % 0.44/0.66 (define @t66 () (= @t65 (tptp.meet @t26 @t37))) % 0.44/0.66 (define @t67 () (tptp.meet tptp.a @t55)) % 0.44/0.66 (define @t68 () (tptp.join @t67 @t43)) % 0.44/0.66 (define @t69 () (= @t67 @t68)) % 0.44/0.66 (define @t70 () (tptp.join @t47 (tptp.meet @t25 @t24))) % 0.44/0.66 (define @t71 () (= @t47 @t70)) % 0.44/0.66 (define @t72 () (tptp.meet @t40 @t38)) % 0.44/0.66 (define @t73 () (= @t40 @t72)) % 0.44/0.66 (define @t74 () (= @t57 (tptp.meet @t57 @t32))) % 0.44/0.66 (define @t75 () (tptp.meet @t31 tptp.b)) % 0.44/0.66 (define @t76 () (tptp.join @t75 @t23)) % 0.44/0.66 (define @t77 () (= (tptp.join @t53 @t23) @t76)) % 0.44/0.66 (define @t78 () (= @t24 @t49)) % 0.44/0.66 (define @t79 () (tptp.meet @t38 @t37)) % 0.44/0.66 (define @t80 () (tptp.meet @t72 @t37)) % 0.44/0.66 (define @t81 () (= @t80 (tptp.meet @t40 @t79))) % 0.44/0.66 (define @t82 () (tptp.join @t23 @t23)) % 0.44/0.66 (define @t83 () (tptp.join @t24 @t82)) % 0.44/0.66 (define @t84 () (= (tptp.join @t25 @t23) @t83)) % 0.44/0.66 (define @t85 () (tptp.meet @t29 @t24)) % 0.44/0.66 (define @t86 () (= @t62 (tptp.join @t62 @t85))) % 0.44/0.66 (define @t87 () (tptp.meet @t51 @t50)) % 0.44/0.66 (define @t88 () (= @t51 @t87)) % 0.44/0.66 (define @t89 () (tptp.meet @t49 @t29)) % 0.44/0.66 (define @t90 () (= @t49 @t89)) % 0.44/0.66 (define @t91 () (tptp.join @t47 @t25)) % 0.44/0.66 (define @t92 () (= @t70 (tptp.meet @t70 @t91))) % 0.44/0.66 (define @t93 () (tptp.meet @t31 @t50)) % 0.44/0.66 (define @t94 () (= @t31 @t93)) % 0.44/0.66 (define @t95 () (= tptp.a @t41)) % 0.44/0.66 (define @t96 () (= tptp.a @t50)) % 0.44/0.66 (define @t97 () (= @t23 @t82)) % 0.44/0.66 (define @t98 () (tptp.meet @t29 @t49)) % 0.44/0.66 (define @t99 () (= @t89 @t98)) % 0.44/0.66 (define @t100 () (tptp.meet @t50 tptp.b)) % 0.44/0.66 (define @t101 () (tptp.meet @t31 @t100)) % 0.44/0.66 (define @t102 () (= (tptp.meet @t93 tptp.b) @t101)) % 0.44/0.66 (define @t103 () (tptp.meet @t25 @t87)) % 0.44/0.66 (define @t104 () (= (tptp.meet (tptp.meet @t25 @t51) @t50) @t103)) % 0.44/0.66 (define @t105 () (tptp.meet @t25 tptp.a)) % 0.44/0.66 (define @t106 () (tptp.join @t105 @t23)) % 0.44/0.66 (define @t107 () (= @t106 (tptp.join (tptp.meet @t31 @t24) @t23))) % 0.44/0.66 (define @t108 () (tptp.meet @t25 @t91)) % 0.44/0.66 (define @t109 () (tptp.meet @t57 @t31)) % 0.44/0.66 (define @t110 () (tptp.join @t25 @t24)) % 0.44/0.66 (define @t111 () (tptp.meet @t26 @t79)) % 0.44/0.66 (define @t112 () (and @t52 @t54 @t56 @t58 @t59 @t61 @t63 @t64 @t66 @t69 @t71 @t73 @t74 @t77 @t78 @t35 @t81 @t46 @t84 @t86 @t88 @t90 @t92 @t94 @t95 @t96 @t97 @t99 @t102 @t104 @t107)) % 0.44/0.66 (assume @p1 @t4) % 0.44/0.66 (assume @p2 @t6) % 0.44/0.66 (assume @p3 (forall @t9 (= @t8 (tptp.meet @t7 @t1)))) % 0.44/0.66 (assume @p4 @t11) % 0.44/0.66 (assume @p5 @t15) % 0.44/0.66 (assume @p6 (forall @t14 (= (tptp.join @t10 @t12) (tptp.join @t1 @t16)))) % 0.44/0.66 (assume @p7 @t19) % 0.44/0.66 (assume @p8 @t22) % 0.44/0.66 (assume @p9 (forall @t14 (= (tptp.join (tptp.meet @t10 @t12) @t7) (tptp.join (tptp.meet (tptp.join @t12 @t7) @t1) @t7)))) % 0.44/0.66 (assume @p10 (not @t28)) % 0.44/0.66 (step @p11 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.c))) % 0.44/0.66 (step @p12 :rule instantiate :premises (@p3) :args ((@list tptp.a @t26))) % 0.44/0.66 (step @p13 :rule instantiate :premises (@p4) :args ((@list tptp.b @t23))) % 0.44/0.66 (step @p14 :rule instantiate :premises (@p4) :args ((@list @t24 @t23))) % 0.44/0.66 (step @p15 :rule eq-symm :args (@t21 @t20)) % 0.44/0.66 (step @p16 :rule cong :premises (@p15) :args (@t22)) % 0.44/0.66 (step @p17 :rule eq_resolve :premises (@p8 @p16)) % 0.44/0.66 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t24 tptp.a tptp.c))) % 0.44/0.66 (step @p19 :rule instantiate :premises (@p17) :args ((@list tptp.b tptp.a tptp.c))) % 0.44/0.66 (step @p20 :rule instantiate :premises (@p3) :args ((@list @t25 @t29))) % 0.44/0.66 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t24 tptp.a))) % 0.44/0.66 (step @p22 :rule instantiate :premises (@p5) :args ((@list @t26 @t30 tptp.a))) % 0.44/0.66 (step @p23 :rule eq-symm :args (@t18 @t17)) % 0.44/0.66 (step @p24 :rule cong :premises (@p23) :args (@t19)) % 0.44/0.66 (step @p25 :rule eq_resolve :premises (@p7 @p24)) % 0.44/0.66 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.a @t23 tptp.b))) % 0.44/0.66 (step @p27 :rule instantiate :premises (@p25) :args ((@list @t25 @t24 tptp.a))) % 0.44/0.66 (step @p28 :rule instantiate :premises (@p17) :args ((@list tptp.b tptp.c tptp.a))) % 0.44/0.66 (step @p29 :rule instantiate :premises (@p17) :args ((@list @t23 tptp.a tptp.b))) % 0.44/0.66 (step @p30 :rule instantiate :premises (@p9) :args ((@list tptp.b @t23 tptp.a))) % 0.44/0.66 (step @p31 :rule eq-symm :args (@t5 @t1)) % 0.44/0.66 (step @p32 :rule cong :premises (@p31) :args (@t6)) % 0.44/0.66 (step @p33 :rule eq_resolve :premises (@p2 @p32)) % 0.44/0.66 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t24))) % 0.44/0.66 (step @p35 :rule eq-symm :args (@t31 @t32)) % 0.44/0.66 (step @p36 :rule refl :args (@t11)) % 0.44/0.66 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t11 @t33))) % 0.44/0.66 (assume-push @p232 @t11) % 0.44/0.66 (step @p39 :rule instantiate :premises (@p4) :args (@t34)) % 0.44/0.66 (step-pop @p233 :rule scope :premises (@p39)) % 0.44/0.66 (step @p40 :rule process_scope :premises (@p233) :args (@t33)) % 0.44/0.66 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.44/0.66 (step @p43 :rule implies_elim :premises (@p42)) % 0.44/0.66 (step @p44 :rule chain_m_resolution :premises (@p43 @p4) :args (@t35 @t36 (@list @t11))) % 0.44/0.66 (step @p45 :rule instantiate :premises (@p5) :args ((@list @t40 @t38 @t37))) % 0.44/0.66 (step @p46 :rule eq-symm :args (@t42 @t43)) % 0.44/0.66 (step @p47 :rule refl :args (@t15)) % 0.44/0.66 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t15 @t44))) % 0.44/0.66 (assume-push @p234 @t15) % 0.44/0.66 (step @p50 :rule instantiate :premises (@p5) :args (@t45)) % 0.44/0.66 (step-pop @p235 :rule scope :premises (@p50)) % 0.44/0.66 (step @p51 :rule process_scope :premises (@p235) :args (@t44)) % 0.44/0.66 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.44/0.66 (step @p54 :rule implies_elim :premises (@p53)) % 0.44/0.66 (step @p55 :rule chain_m_resolution :premises (@p54 @p5) :args (@t46 @t36 (@list @t15))) % 0.44/0.66 (step @p56 :rule instantiate :premises (@p6) :args ((@list @t24 @t23 @t23))) % 0.44/0.66 (step @p57 :rule instantiate :premises (@p25) :args ((@list @t29 @t24 @t23))) % 0.44/0.66 (step @p58 :rule instantiate :premises (@p17) :args ((@list tptp.a tptp.a tptp.b))) % 0.44/0.66 (step @p59 :rule instantiate :premises (@p17) :args ((@list @t24 tptp.a tptp.b))) % 0.44/0.66 (step @p60 :rule instantiate :premises (@p17) :args ((@list @t47 @t25 @t24))) % 0.44/0.66 (step @p61 :rule instantiate :premises (@p17) :args (@t45)) % 0.44/0.66 (step @p62 :rule eq-symm :args (@t2 @t1)) % 0.44/0.66 (step @p63 :rule cong :premises (@p62) :args (@t4)) % 0.44/0.66 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 0.44/0.66 (step @p65 :rule instantiate :premises (@p64) :args (@t48)) % 0.44/0.66 (step @p66 :rule instantiate :premises (@p33) :args (@t48)) % 0.44/0.66 (step @p67 :rule instantiate :premises (@p33) :args ((@list @t23))) % 0.44/0.66 (step @p68 :rule instantiate :premises (@p3) :args ((@list @t49 @t29))) % 0.44/0.66 (step @p69 :rule instantiate :premises (@p5) :args ((@list @t31 @t50 tptp.b))) % 0.44/0.66 (step @p70 :rule instantiate :premises (@p5) :args ((@list @t25 @t51 @t50))) % 0.44/0.66 (step @p71 :rule instantiate :premises (@p9) :args ((@list @t24 @t23 tptp.a))) % 0.44/0.66 (assume-push @p236 @t52) % 0.44/0.66 (assume-push @p237 @t54) % 0.44/0.66 (assume-push @p238 @t56) % 0.44/0.66 (assume-push @p239 @t58) % 0.44/0.66 (assume-push @p240 @t59) % 0.44/0.66 (assume-push @p241 @t61) % 0.44/0.66 (assume-push @p242 @t63) % 0.44/0.66 (assume-push @p243 @t64) % 0.44/0.66 (assume-push @p244 @t66) % 0.44/0.66 (assume-push @p245 @t69) % 0.44/0.66 (assume-push @p246 @t71) % 0.44/0.66 (assume-push @p247 @t73) % 0.44/0.66 (assume-push @p248 @t74) % 0.44/0.66 (assume-push @p249 @t77) % 0.44/0.66 (assume-push @p250 @t78) % 0.44/0.66 (assume-push @p251 @t35) % 0.44/0.66 (assume-push @p252 @t81) % 0.44/0.66 (assume-push @p253 @t46) % 0.44/0.66 (assume-push @p254 @t84) % 0.44/0.66 (assume-push @p255 @t86) % 0.44/0.66 (assume-push @p256 @t88) % 0.44/0.66 (assume-push @p257 @t90) % 0.44/0.66 (assume-push @p258 @t92) % 0.44/0.66 (assume-push @p259 @t94) % 0.44/0.66 (assume-push @p260 @t95) % 0.44/0.66 (assume-push @p261 @t96) % 0.44/0.66 (assume-push @p262 @t97) % 0.44/0.66 (assume-push @p263 @t99) % 0.44/0.66 (assume-push @p264 @t102) % 0.44/0.66 (assume-push @p265 @t104) % 0.44/0.66 (assume-push @p266 @t107) % 0.44/0.66 (step @p103 :rule refl :args (@t23)) % 0.44/0.66 (step @p104 :rule symm :premises (@p34)) % 0.44/0.66 (step @p105 :rule cong :premises (@p104 @p103) :args ((tptp.join @t49 @t23))) % 0.44/0.66 (step @p106 :rule refl :args (tptp.c)) % 0.44/0.66 (step @p107 :rule symm :premises (@p65)) % 0.44/0.66 (step @p108 :rule cong :premises (@p107 @p106) :args (@t42)) % 0.44/0.66 (step @p109 :rule trans :premises (@p55 @p108)) % 0.44/0.66 (step @p110 :rule cong :premises (@p34 @p109) :args ((tptp.join @t24 @t43))) % 0.44/0.66 (step @p50 :rule instantiate :premises (@p5) :args (@t45)) % 0.44/0.66 (step @p111 :rule symm :premises (@p108)) % 0.44/0.66 (step @p112 :rule symm :premises (@p67)) % 0.44/0.66 (step @p113 :rule trans :premises (@p112 @p111 @p50)) % 0.44/0.66 (step @p114 :rule cong :premises (@p104 @p113) :args ((tptp.join @t49 @t82))) % 0.44/0.66 (step @p115 :rule refl :args (@t82)) % 0.44/0.66 (step @p116 :rule cong :premises (@p34 @p115) :args (@t83)) % 0.44/0.66 (step @p117 :rule symm :premises (@p18)) % 0.44/0.66 (step @p118 :rule cong :premises (@p117 @p103) :args ((tptp.join @t47 @t23))) % 0.44/0.66 (step @p119 :rule symm :premises (@p27)) % 0.44/0.66 (step @p120 :rule symm :premises (@p60)) % 0.44/0.66 (step @p121 :rule refl :args (@t91)) % 0.44/0.66 (step @p122 :rule trans :premises (@p18 @p27)) % 0.44/0.66 (step @p123 :rule cong :premises (@p122 @p121) :args (@t108)) % 0.44/0.66 (step @p124 :rule trans :premises (@p123 @p120 @p119)) % 0.44/0.66 (step @p125 :rule cong :premises (@p124 @p103) :args ((tptp.join @t108 @t23))) % 0.44/0.66 (step @p126 :rule symm :premises (@p124)) % 0.44/0.66 (step @p127 :rule symm :premises (@p21)) % 0.44/0.66 (step @p128 :rule symm :premises (@p58)) % 0.44/0.66 (step @p129 :rule trans :premises (@p128 @p127)) % 0.44/0.66 (step @p130 :rule refl :args (@t25)) % 0.44/0.66 (step @p131 :rule cong :premises (@p130 @p129) :args (@t103)) % 0.44/0.66 (step @p132 :rule refl :args (@t50)) % 0.44/0.66 (step @p133 :rule cong :premises (@p130 @p21) :args (@t47)) % 0.44/0.66 (step @p134 :rule trans :premises (@p18 @p133)) % 0.44/0.66 (step @p135 :rule symm :premises (@p14)) % 0.44/0.66 (step @p136 :rule symm :premises (@p29)) % 0.44/0.66 (step @p39 :rule instantiate :premises (@p4) :args (@t34)) % 0.44/0.66 (step @p137 :rule refl :args (@t57)) % 0.44/0.66 (step @p138 :rule cong :premises (@p137 @p39) :args (@t109)) % 0.44/0.66 (step @p139 :rule trans :premises (@p138 @p136 @p135)) % 0.44/0.66 (step @p140 :rule trans :premises (@p139 @p134)) % 0.44/0.66 (step @p141 :rule cong :premises (@p140 @p132) :args ((tptp.meet @t109 @t50))) % 0.44/0.66 (step @p142 :rule symm :premises (@p139)) % 0.44/0.66 (step @p143 :rule cong :premises (@p142 @p66) :args (@t105)) % 0.44/0.66 (step @p144 :rule refl :args (tptp.a)) % 0.44/0.66 (step @p145 :rule symm :premises (@p20)) % 0.44/0.66 (step @p146 :rule symm :premises (@p57)) % 0.44/0.66 (step @p147 :rule refl :args (@t85)) % 0.44/0.66 (step @p148 :rule trans :premises (@p18 @p20)) % 0.44/0.66 (step @p149 :rule cong :premises (@p148 @p147) :args ((tptp.join @t25 @t85))) % 0.44/0.66 (step @p150 :rule refl :args (@t29)) % 0.44/0.66 (step @p151 :rule cong :premises (@p150 @p104) :args (@t98)) % 0.44/0.66 (step @p152 :rule trans :premises (@p34 @p59 @p68 @p151)) % 0.44/0.66 (step @p153 :rule cong :premises (@p135 @p152) :args ((tptp.join @t57 @t24))) % 0.44/0.66 (step @p154 :rule refl :args (@t24)) % 0.44/0.66 (step @p155 :rule cong :premises (@p14 @p154) :args (@t110)) % 0.44/0.66 (step @p156 :rule trans :premises (@p155 @p153 @p149 @p146 @p145 @p117)) % 0.44/0.66 (step @p157 :rule cong :premises (@p156 @p144) :args ((tptp.meet @t110 tptp.a))) % 0.44/0.66 (step @p158 :rule trans :premises (@p157 @p143 @p141 @p70 @p131)) % 0.44/0.66 (step @p159 :rule symm :premises (@p157)) % 0.44/0.66 (step @p160 :rule trans :premises (@p159 @p158 @p126)) % 0.44/0.66 (step @p161 :rule cong :premises (@p160 @p103) :args (@t106)) % 0.44/0.66 (step @p162 :rule symm :premises (@p71)) % 0.44/0.66 (step @p163 :rule cong :premises (@p44 @p154) :args ((tptp.meet @t32 @t24))) % 0.44/0.66 (step @p164 :rule refl :args (tptp.b)) % 0.44/0.66 (step @p165 :rule symm :premises (@p66)) % 0.44/0.66 (step @p166 :rule cong :premises (@p165 @p164) :args (@t100)) % 0.44/0.66 (step @p167 :rule cong :premises (@p39 @p166) :args (@t101)) % 0.44/0.66 (step @p168 :rule cong :premises (@p61 @p164) :args (@t75)) % 0.44/0.66 (step @p169 :rule trans :premises (@p168 @p69 @p167 @p163)) % 0.44/0.66 (step @p170 :rule cong :premises (@p169 @p103) :args (@t76)) % 0.44/0.66 (step @p171 :rule symm :premises (@p12)) % 0.44/0.66 (step @p172 :rule symm :premises (@p19)) % 0.44/0.66 (step @p173 :rule cong :premises (@p172 @p144) :args (@t65)) % 0.44/0.66 (step @p174 :rule symm :premises (@p22)) % 0.44/0.66 (step @p175 :rule refl :args (@t37)) % 0.44/0.66 (step @p176 :rule symm :premises (@p11)) % 0.44/0.66 (step @p177 :rule cong :premises (@p164 @p176) :args (@t40)) % 0.44/0.66 (step @p178 :rule symm :premises (@p28)) % 0.44/0.66 (step @p179 :rule trans :premises (@p178 @p177)) % 0.44/0.66 (step @p180 :rule cong :premises (@p179 @p175) :args (@t80)) % 0.44/0.66 (step @p181 :rule symm :premises (@p45)) % 0.44/0.66 (step @p182 :rule refl :args (@t79)) % 0.44/0.66 (step @p183 :rule symm :premises (@p177)) % 0.44/0.66 (step @p184 :rule cong :premises (@p183 @p182) :args (@t111)) % 0.44/0.66 (step @p185 :rule trans :premises (@p184 @p181 @p180 @p174 @p173 @p171)) % 0.44/0.66 (step @p186 :rule trans :premises (@p185 @p12)) % 0.44/0.66 (step @p187 :rule cong :premises (@p186 @p103) :args ((tptp.join @t111 @t23))) % 0.44/0.66 (step @p188 :rule symm :premises (@p185)) % 0.44/0.66 (step @p189 :rule symm :premises (@p13)) % 0.44/0.66 (step @p190 :rule cong :premises (@p144 @p189) :args (@t67)) % 0.44/0.66 (step @p191 :rule trans :premises (@p190 @p188)) % 0.44/0.66 (step @p192 :rule cong :premises (@p191 @p109) :args (@t68)) % 0.44/0.66 (step @p193 :rule symm :premises (@p190)) % 0.44/0.66 (step @p194 :rule trans :premises (@p193 @p26 @p192 @p187 @p30 @p170 @p162 @p161 @p125 @p118 @p56 @p116 @p114 @p110 @p105)) % 0.44/0.66 (step-pop @p267 :rule scope :premises (@p194)) % 0.44/0.66 (step-pop @p268 :rule scope :premises (@p267)) % 0.44/0.66 (step-pop @p269 :rule scope :premises (@p268)) % 0.44/0.66 (step-pop @p270 :rule scope :premises (@p269)) % 0.44/0.66 (step-pop @p271 :rule scope :premises (@p270)) % 0.44/0.66 (step-pop @p272 :rule scope :premises (@p271)) % 0.44/0.66 (step-pop @p273 :rule scope :premises (@p272)) % 0.44/0.66 (step-pop @p274 :rule scope :premises (@p273)) % 0.44/0.66 (step-pop @p275 :rule scope :premises (@p274)) % 0.44/0.66 (step-pop @p276 :rule scope :premises (@p275)) % 0.44/0.66 (step-pop @p277 :rule scope :premises (@p276)) % 0.44/0.66 (step-pop @p278 :rule scope :premises (@p277)) % 0.44/0.66 (step-pop @p279 :rule scope :premises (@p278)) % 0.44/0.66 (step-pop @p280 :rule scope :premises (@p279)) % 0.44/0.66 (step-pop @p281 :rule scope :premises (@p280)) % 0.44/0.66 (step-pop @p282 :rule scope :premises (@p281)) % 0.44/0.66 (step-pop @p283 :rule scope :premises (@p282)) % 0.44/0.66 (step-pop @p284 :rule scope :premises (@p283)) % 0.44/0.66 (step-pop @p285 :rule scope :premises (@p284)) % 0.44/0.66 (step-pop @p286 :rule scope :premises (@p285)) % 0.44/0.66 (step-pop @p287 :rule scope :premises (@p286)) % 0.44/0.66 (step-pop @p288 :rule scope :premises (@p287)) % 0.44/0.66 (step-pop @p289 :rule scope :premises (@p288)) % 0.44/0.66 (step-pop @p290 :rule scope :premises (@p289)) % 0.44/0.66 (step-pop @p291 :rule scope :premises (@p290)) % 0.44/0.66 (step-pop @p292 :rule scope :premises (@p291)) % 0.44/0.66 (step-pop @p293 :rule scope :premises (@p292)) % 0.44/0.66 (step-pop @p294 :rule scope :premises (@p293)) % 0.44/0.66 (step-pop @p295 :rule scope :premises (@p294)) % 0.44/0.66 (step-pop @p296 :rule scope :premises (@p295)) % 0.44/0.66 (step-pop @p297 :rule scope :premises (@p296)) % 0.44/0.66 (step @p195 :rule process_scope :premises (@p297) :args (@t28)) % 0.44/0.66 (step @p227 :rule implies_elim :premises (@p195)) % 0.44/0.66 (step @p228 :rule cnf_and_neg :args (@t112)) % 0.44/0.66 (step @p229 :rule resolution :premises (@p228 @p227) :args (true @t112)) % 0.44/0.66 (step @p230 :rule reordering :premises (@p229) :args ((or @t28 (not @t52) (not @t54) (not @t56) (not @t58) (not @t59) (not @t61) (not @t63) (not @t64) (not @t66) (not @t69) (not @t71) (not @t73) (not @t74) (not @t77) (not @t78) (not @t35) (not @t81) (not @t46) (not @t84) (not @t86) (not @t88) (not @t90) (not @t92) (not @t94) (not @t95) (not @t96) (not @t97) (not @t99) (not @t102) (not @t104) (not @t107)))) % 0.44/0.66 (step @p231 false :rule chain_m_resolution :premises (@p230 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p45 @p44 @p34 @p30 @p29 @p28 @p27 @p26 @p22 @p21 @p20 @p19 @p18 @p14 @p13 @p12 @p11 @p10) :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 false true) (@list @t107 @t104 @t102 @t99 @t97 @t96 @t95 @t94 @t92 @t90 @t88 @t86 @t84 @t46 @t81 @t35 @t78 @t77 @t74 @t73 @t71 @t69 @t66 @t64 @t63 @t61 @t59 @t58 @t56 @t54 @t52 @t28))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------