%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN007-5 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:22:53 AM UTC 2026 % Result : Unsatisfiable 33.57s 33.84s % Output : Proof 33.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN007-5 : TPTP v9.2.1. Released v1.0.0. % 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 : n009.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 02:15:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.42/27.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.52/33.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.57/33.84 % SZS status Unsatisfiable % 33.57/33.84 % SZS output start Proof % 33.57/33.85 ( % 33.57/33.85 (declare-sort $$unsorted 0) % 33.57/33.85 (declare-const tptp.a $$unsorted) % 33.57/33.85 (declare-const tptp.b $$unsorted) % 33.57/33.85 (declare-const tptp.identity $$unsorted) % 33.57/33.85 (declare-const tptp.c $$unsorted) % 33.57/33.85 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 33.57/33.85 (declare-const tptp.zero $$unsorted) % 33.57/33.85 (define @t1 () (@var "X" $$unsorted)) % 33.57/33.85 (define @t2 () (@var "Y" $$unsorted)) % 33.57/33.85 (define @t3 () (tptp.divide @t1 @t2)) % 33.57/33.85 (define @t4 () (tptp.divide @t3 @t1)) % 33.57/33.85 (define @t5 () (@list @t1 @t2)) % 33.57/33.85 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 33.57/33.85 (define @t7 () (@var "Z" $$unsorted)) % 33.57/33.85 (define @t8 () (tptp.divide @t2 @t7)) % 33.57/33.85 (define @t9 () (tptp.divide @t1 @t7)) % 33.57/33.85 (define @t10 () (tptp.divide (tptp.divide @t9 @t8) (tptp.divide @t3 @t7))) % 33.57/33.85 (define @t11 () (@list @t1 @t7 @t2)) % 33.57/33.85 (define @t12 () (forall @t11 (= @t10 tptp.zero))) % 33.57/33.85 (define @t13 () (@list @t1)) % 33.57/33.85 (define @t14 () (= @t1 @t2)) % 33.57/33.85 (define @t15 () (tptp.divide @t2 @t1)) % 33.57/33.85 (define @t16 () (not (= @t15 tptp.zero))) % 33.57/33.85 (define @t17 () (not (= @t3 tptp.zero))) % 33.57/33.85 (define @t18 () (or @t17 @t16 @t14)) % 33.57/33.85 (define @t19 () (forall @t5 @t18)) % 33.57/33.85 (define @t20 () (not (= @t8 tptp.zero))) % 33.57/33.85 (define @t21 () (or @t17 @t20 (= @t9 tptp.zero))) % 33.57/33.85 (define @t22 () (@list @t1 @t2 @t7)) % 33.57/33.85 (define @t23 () (forall @t22 @t21)) % 33.57/33.85 (define @t24 () (tptp.divide tptp.a tptp.b)) % 33.57/33.85 (define @t25 () (tptp.divide tptp.c tptp.a)) % 33.57/33.85 (define @t26 () (tptp.divide tptp.c tptp.b)) % 33.57/33.85 (define @t27 () (tptp.divide @t26 @t25)) % 33.57/33.85 (define @t28 () (not (= @t27 tptp.zero))) % 33.57/33.85 (define @t29 () (= tptp.zero @t4)) % 33.57/33.85 (define @t30 () (tptp.divide @t27 @t26)) % 33.57/33.85 (define @t31 () (forall @t5 (= @t4 @t24))) % 33.57/33.85 (define @t32 () (= @t30 @t24)) % 33.57/33.85 (define @t33 () (@list @t26 @t25)) % 33.57/33.85 (define @t34 () (= @t24 @t30)) % 33.57/33.85 (define @t35 () (@list false)) % 33.57/33.85 (define @t36 () (@list @t31)) % 33.57/33.85 (define @t37 () (tptp.divide @t25 tptp.c)) % 33.57/33.85 (define @t38 () (tptp.divide @t37 @t25)) % 33.57/33.85 (define @t39 () (= @t38 @t24)) % 33.57/33.85 (define @t40 () (@list @t25 tptp.c)) % 33.57/33.85 (define @t41 () (= @t24 @t38)) % 33.57/33.85 (define @t42 () (not (= @t24 @t15))) % 33.57/33.85 (define @t43 () (not (= @t24 @t3))) % 33.57/33.85 (define @t44 () (or @t43 @t42 @t14)) % 33.57/33.85 (define @t45 () (= tptp.zero @t15)) % 33.57/33.85 (define @t46 () (not @t45)) % 33.57/33.85 (define @t47 () (= tptp.zero @t3)) % 33.57/33.85 (define @t48 () (not @t47)) % 33.57/33.85 (define @t49 () (or @t48 @t46 @t14)) % 33.57/33.85 (define @t50 () (tptp.divide @t27 @t30)) % 33.57/33.85 (define @t51 () (not (= @t50 @t24))) % 33.57/33.85 (define @t52 () (tptp.divide @t30 @t27)) % 33.57/33.85 (define @t53 () (= @t52 @t24)) % 33.57/33.85 (define @t54 () (not @t53)) % 33.57/33.85 (define @t55 () (= @t30 @t27)) % 33.57/33.85 (define @t56 () (or @t54 @t51 @t55)) % 33.57/33.85 (define @t57 () (not (= @t3 @t24))) % 33.57/33.85 (define @t58 () (forall @t5 (or @t57 (not (= @t15 @t24)) @t14))) % 33.57/33.85 (define @t59 () (= @t27 @t30)) % 33.57/33.85 (define @t60 () (= @t24 @t50)) % 33.57/33.85 (define @t61 () (not @t60)) % 33.57/33.85 (define @t62 () (= @t24 @t52)) % 33.57/33.85 (define @t63 () (not @t62)) % 33.57/33.85 (define @t64 () (or @t63 @t61 @t59)) % 33.57/33.85 (define @t65 () (@list @t58)) % 33.57/33.85 (define @t66 () (= tptp.zero @t27)) % 33.57/33.85 (define @t67 () (not (= @t24 @t8))) % 33.57/33.85 (define @t68 () (or @t43 @t67 (= @t24 @t9))) % 33.57/33.85 (define @t69 () (= tptp.zero @t9)) % 33.57/33.85 (define @t70 () (= tptp.zero @t8)) % 33.57/33.85 (define @t71 () (not @t70)) % 33.57/33.85 (define @t72 () (or @t48 @t71 @t69)) % 33.57/33.85 (define @t73 () (tptp.divide @t26 @t37)) % 33.57/33.85 (define @t74 () (tptp.divide @t73 @t25)) % 33.57/33.85 (define @t75 () (tptp.divide @t25 tptp.b)) % 33.57/33.85 (define @t76 () (tptp.divide @t75 @t25)) % 33.57/33.85 (define @t77 () (= @t76 @t24)) % 33.57/33.85 (define @t78 () (not @t77)) % 33.57/33.85 (define @t79 () (tptp.divide @t73 @t75)) % 33.57/33.85 (define @t80 () (not (= @t79 @t24))) % 33.57/33.85 (define @t81 () (or @t80 @t78 (= @t74 @t24))) % 33.57/33.85 (define @t82 () (forall @t22 (or @t57 (not (= @t8 @t24)) (= @t9 @t24)))) % 33.57/33.85 (define @t83 () (= @t24 @t74)) % 33.57/33.85 (define @t84 () (= @t24 @t76)) % 33.57/33.85 (define @t85 () (not @t84)) % 33.57/33.85 (define @t86 () (= @t24 @t79)) % 33.57/33.85 (define @t87 () (not @t86)) % 33.57/33.85 (define @t88 () (or @t87 @t85 @t83)) % 33.57/33.85 (define @t89 () (= @t37 @t24)) % 33.57/33.85 (define @t90 () (tptp.divide @t26 tptp.c)) % 33.57/33.85 (define @t91 () (= @t90 @t24)) % 33.57/33.85 (define @t92 () (tptp.divide @t26 @t24)) % 33.57/33.85 (define @t93 () (tptp.divide @t92 @t75)) % 33.57/33.85 (define @t94 () (= tptp.zero @t10)) % 33.57/33.85 (define @t95 () (forall @t11 (= @t10 @t24))) % 33.57/33.85 (define @t96 () (= @t93 @t24)) % 33.57/33.85 (define @t97 () (@list @t95)) % 33.57/33.85 (define @t98 () (@list false false false)) % 33.57/33.85 (define @t99 () (tptp.divide @t27 @t38)) % 33.57/33.85 (define @t100 () (= @t99 @t74)) % 33.57/33.85 (define @t101 () (tptp.divide @t74 @t99)) % 33.57/33.85 (define @t102 () (not (= @t101 @t24))) % 33.57/33.85 (define @t103 () (tptp.divide @t99 @t74)) % 33.57/33.85 (define @t104 () (= @t103 @t24)) % 33.57/33.85 (define @t105 () (not @t104)) % 33.57/33.85 (define @t106 () (or @t105 @t102 @t100)) % 33.57/33.85 (define @t107 () (= @t24 @t101)) % 33.57/33.85 (define @t108 () (not @t107)) % 33.57/33.85 (define @t109 () (= @t24 @t103)) % 33.57/33.85 (define @t110 () (not @t109)) % 33.57/33.85 (define @t111 () (or @t110 @t108 @t100)) % 33.57/33.85 (define @t112 () (tptp.divide (tptp.divide @t50 @t27) @t50)) % 33.57/33.85 (define @t113 () (= @t112 @t24)) % 33.57/33.85 (define @t114 () (and @t34 @t41 @t100 @t83)) % 33.57/33.85 (assume @p1 @t6) % 33.57/33.85 (assume @p2 @t12) % 33.57/33.85 (assume @p3 (forall @t13 (= (tptp.divide tptp.zero @t1) tptp.zero))) % 33.57/33.85 (assume @p4 @t19) % 33.57/33.85 (assume @p5 (forall @t13 (= (tptp.divide @t1 tptp.identity) tptp.zero))) % 33.57/33.85 (assume @p6 @t23) % 33.57/33.85 (assume @p7 (= @t24 tptp.zero)) % 33.57/33.85 (assume @p8 @t28) % 33.57/33.85 (step @p9 :rule eq-symm :args (@t24 @t4)) % 33.57/33.85 (step @p10 :rule cong :premises (@p9) :args ((forall @t5 (= @t24 @t4)))) % 33.57/33.85 (step @p11 :rule refl :args (@t4)) % 33.57/33.85 (step @p12 :rule symm :premises (@p7)) % 33.57/33.85 (step @p13 :rule cong :premises (@p12 @p11) :args (@t29)) % 33.57/33.85 (step @p14 :rule cong :premises (@p13) :args ((forall @t5 @t29))) % 33.57/33.85 (step @p15 :rule trans :premises (@p14 @p10)) % 33.57/33.85 (step @p16 :rule eq-symm :args (@t4 tptp.zero)) % 33.57/33.85 (step @p17 :rule cong :premises (@p16) :args (@t6)) % 33.57/33.85 (step @p18 :rule trans :premises (@p17 @p15)) % 33.57/33.85 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 33.57/33.85 (step @p20 :rule eq-symm :args (@t30 @t24)) % 33.57/33.85 (step @p21 :rule refl :args (@t31)) % 33.57/33.85 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t31 @t32))) % 33.57/33.85 (assume-push @p260 @t31) % 33.57/33.85 (step @p24 :rule instantiate :premises (@p19) :args (@t33)) % 33.57/33.85 (step-pop @p261 :rule scope :premises (@p24)) % 33.57/33.85 (step @p25 :rule process_scope :premises (@p261) :args (@t32)) % 33.57/33.85 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 33.57/33.85 (step @p28 :rule implies_elim :premises (@p27)) % 33.57/33.85 (step @p29 :rule chain_m_resolution :premises (@p28 @p19) :args (@t34 @t35 @t36)) % 33.57/33.85 (step @p30 :rule eq-symm :args (@t38 @t24)) % 33.57/33.85 (step @p31 :rule cong :premises (@p21 @p30) :args ((=> @t31 @t39))) % 33.57/33.85 (assume-push @p262 @t31) % 33.57/33.85 (step @p33 :rule instantiate :premises (@p19) :args (@t40)) % 33.57/33.85 (step-pop @p263 :rule scope :premises (@p33)) % 33.57/33.85 (step @p34 :rule process_scope :premises (@p263) :args (@t39)) % 33.57/33.85 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 33.57/33.85 (step @p37 :rule implies_elim :premises (@p36)) % 33.57/33.85 (step @p38 :rule chain_m_resolution :premises (@p37 @p19) :args (@t41 @t35 @t36)) % 33.57/33.85 (step @p39 :rule refl :args (@t14)) % 33.57/33.85 (step @p40 :rule eq-symm :args (@t24 @t15)) % 33.57/33.85 (step @p41 :rule cong :premises (@p40) :args (@t42)) % 33.57/33.85 (step @p42 :rule eq-symm :args (@t24 @t3)) % 33.57/33.85 (step @p43 :rule cong :premises (@p42) :args (@t43)) % 33.57/33.85 (step @p44 :rule nary_cong :premises (@p43 @p41 @p39) :args (@t44)) % 33.57/33.85 (step @p45 :rule cong :premises (@p44) :args ((forall @t5 @t44))) % 33.57/33.85 (step @p46 :rule refl :args (@t15)) % 33.57/33.85 (step @p47 :rule cong :premises (@p12 @p46) :args (@t45)) % 33.57/33.85 (step @p48 :rule cong :premises (@p47) :args (@t46)) % 33.57/33.85 (step @p49 :rule refl :args (@t3)) % 33.57/33.85 (step @p50 :rule cong :premises (@p12 @p49) :args (@t47)) % 33.57/33.85 (step @p51 :rule cong :premises (@p50) :args (@t48)) % 33.57/33.85 (step @p52 :rule nary_cong :premises (@p51 @p48 @p39) :args (@t49)) % 33.57/33.85 (step @p53 :rule cong :premises (@p52) :args ((forall @t5 @t49))) % 33.57/33.85 (step @p54 :rule trans :premises (@p53 @p45)) % 33.57/33.85 (step @p55 :rule eq-symm :args (@t15 tptp.zero)) % 33.57/33.85 (step @p56 :rule cong :premises (@p55) :args (@t16)) % 33.57/33.85 (step @p57 :rule eq-symm :args (@t3 tptp.zero)) % 33.57/33.85 (step @p58 :rule cong :premises (@p57) :args (@t17)) % 33.57/33.85 (step @p59 :rule nary_cong :premises (@p58 @p56 @p39) :args (@t18)) % 33.57/33.85 (step @p60 :rule cong :premises (@p59) :args (@t19)) % 33.57/33.85 (step @p61 :rule trans :premises (@p60 @p54)) % 33.57/33.85 (step @p62 :rule eq_resolve :premises (@p4 @p61)) % 33.57/33.85 (step @p63 :rule eq-symm :args (@t30 @t27)) % 33.57/33.85 (step @p64 :rule eq-symm :args (@t50 @t24)) % 33.57/33.85 (step @p65 :rule cong :premises (@p64) :args (@t51)) % 33.57/33.85 (step @p66 :rule eq-symm :args (@t52 @t24)) % 33.57/33.85 (step @p67 :rule cong :premises (@p66) :args (@t54)) % 33.57/33.85 (step @p68 :rule nary_cong :premises (@p67 @p65 @p63) :args (@t56)) % 33.57/33.85 (step @p69 :rule refl :args (@t58)) % 33.57/33.85 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t58 @t56))) % 33.57/33.85 (assume-push @p264 @t58) % 33.57/33.85 (step @p72 :rule instantiate :premises (@p62) :args ((@list @t30 @t27))) % 33.57/33.85 (step-pop @p265 :rule scope :premises (@p72)) % 33.57/33.85 (step @p73 :rule process_scope :premises (@p265) :args (@t56)) % 33.57/33.86 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 33.57/33.86 (step @p76 :rule implies_elim :premises (@p75)) % 33.57/33.86 (step @p77 :rule chain_m_resolution :premises (@p76 @p62) :args (@t64 @t35 @t65)) % 33.57/33.86 (step @p78 :rule bool-eq-false :args (@t59)) % 33.57/33.86 (step @p79 :rule symm :premises (@p78)) % 33.57/33.86 (step @p80 :rule cong :premises (@p63) :args ((not @t55))) % 33.57/33.86 (step @p81 :rule bool-eq-false :args (@t55)) % 33.57/33.86 (step @p82 :rule trans :premises (@p81 @p80)) % 33.57/33.86 (step @p83 :rule trans :premises (@p82 @p79)) % 33.57/33.86 (step @p84 :rule refl :args (@t27)) % 33.57/33.86 (step @p85 :rule cong :premises (@p12 @p84) :args (@t66)) % 33.57/33.86 (step @p86 :rule cong :premises (@p85) :args ((not @t66))) % 33.57/33.86 (step @p87 :rule eq-symm :args (@t27 tptp.zero)) % 33.57/33.86 (step @p88 :rule cong :premises (@p87) :args (@t28)) % 33.57/33.86 (step @p89 :rule trans :premises (@p88 @p86)) % 33.57/33.86 (step @p90 :rule eq_resolve :premises (@p8 @p89)) % 33.57/33.86 (step @p91 :rule false_intro :premises (@p90)) % 33.57/33.86 (step @p24 :rule instantiate :premises (@p19) :args (@t33)) % 33.57/33.86 (step @p92 :rule cong :premises (@p24 @p84) :args (@t55)) % 33.57/33.86 (step @p93 :rule trans :premises (@p92 @p91)) % 33.57/33.86 (step @p94 :rule eq_resolve :premises (@p93 @p83)) % 33.57/33.86 (step @p95 :rule false_elim :premises (@p94)) % 33.57/33.86 (step @p96 :rule cong :premises (@p21 @p66) :args ((=> @t31 @t53))) % 33.57/33.86 (assume-push @p266 @t31) % 33.57/33.86 (step @p98 :rule instantiate :premises (@p19) :args ((@list @t27 @t26))) % 33.57/33.86 (step-pop @p267 :rule scope :premises (@p98)) % 33.57/33.86 (step @p99 :rule process_scope :premises (@p267) :args (@t53)) % 33.57/33.86 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 33.57/33.86 (step @p102 :rule implies_elim :premises (@p101)) % 33.57/33.86 (step @p103 :rule chain_m_resolution :premises (@p102 @p19) :args (@t62 @t35 @t36)) % 33.57/33.86 (step @p104 :rule cnf_or_pos :args (@t64)) % 33.57/33.86 (step @p105 :rule reordering :premises (@p104) :args ((or @t63 @t61 @t59 (not @t64)))) % 33.57/33.86 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p95 @p77) :args (@t61 (@list false true false) (@list @t62 @t59 @t64))) % 33.57/33.86 (step @p107 :rule eq-symm :args (@t24 @t9)) % 33.57/33.86 (step @p108 :rule eq-symm :args (@t24 @t8)) % 33.57/33.86 (step @p109 :rule cong :premises (@p108) :args (@t67)) % 33.57/33.86 (step @p110 :rule nary_cong :premises (@p43 @p109 @p107) :args (@t68)) % 33.57/33.86 (step @p111 :rule cong :premises (@p110) :args ((forall @t22 @t68))) % 33.57/33.86 (step @p112 :rule refl :args (@t9)) % 33.57/33.86 (step @p113 :rule cong :premises (@p12 @p112) :args (@t69)) % 33.57/33.86 (step @p114 :rule refl :args (@t8)) % 33.57/33.86 (step @p115 :rule cong :premises (@p12 @p114) :args (@t70)) % 33.57/33.86 (step @p116 :rule cong :premises (@p115) :args (@t71)) % 33.57/33.86 (step @p117 :rule nary_cong :premises (@p51 @p116 @p113) :args (@t72)) % 33.57/33.86 (step @p118 :rule cong :premises (@p117) :args ((forall @t22 @t72))) % 33.57/33.86 (step @p119 :rule trans :premises (@p118 @p111)) % 33.57/33.86 (step @p120 :rule eq-symm :args (@t9 tptp.zero)) % 33.57/33.86 (step @p121 :rule eq-symm :args (@t8 tptp.zero)) % 33.57/33.86 (step @p122 :rule cong :premises (@p121) :args (@t20)) % 33.57/33.86 (step @p123 :rule nary_cong :premises (@p58 @p122 @p120) :args (@t21)) % 33.57/33.86 (step @p124 :rule cong :premises (@p123) :args (@t23)) % 33.57/33.86 (step @p125 :rule trans :premises (@p124 @p119)) % 33.57/33.86 (step @p126 :rule eq_resolve :premises (@p6 @p125)) % 33.57/33.86 (step @p127 :rule eq-symm :args (@t74 @t24)) % 33.57/33.86 (step @p128 :rule eq-symm :args (@t76 @t24)) % 33.57/33.86 (step @p129 :rule cong :premises (@p128) :args (@t78)) % 33.57/33.86 (step @p130 :rule eq-symm :args (@t79 @t24)) % 33.57/33.86 (step @p131 :rule cong :premises (@p130) :args (@t80)) % 33.57/33.86 (step @p132 :rule nary_cong :premises (@p131 @p129 @p127) :args (@t81)) % 33.57/33.86 (step @p133 :rule refl :args (@t82)) % 33.57/33.86 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t82 @t81))) % 33.57/33.86 (assume-push @p268 @t82) % 33.57/33.86 (step @p136 :rule instantiate :premises (@p126) :args ((@list @t73 @t75 @t25))) % 33.57/33.86 (step-pop @p269 :rule scope :premises (@p136)) % 33.57/33.86 (step @p137 :rule process_scope :premises (@p269) :args (@t81)) % 33.57/33.86 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 33.57/33.86 (step @p140 :rule implies_elim :premises (@p139)) % 33.57/33.86 (step @p141 :rule chain_m_resolution :premises (@p140 @p126) :args (@t88 @t35 (@list @t82))) % 33.57/33.86 (step @p142 :rule cong :premises (@p21 @p128) :args ((=> @t31 @t77))) % 33.57/33.86 (assume-push @p270 @t31) % 33.57/33.86 (step @p144 :rule instantiate :premises (@p19) :args ((@list @t25 tptp.b))) % 33.57/33.86 (step-pop @p271 :rule scope :premises (@p144)) % 33.57/33.86 (step @p145 :rule process_scope :premises (@p271) :args (@t77)) % 33.57/33.86 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 33.57/33.86 (step @p148 :rule implies_elim :premises (@p147)) % 33.57/33.86 (step @p149 :rule chain_m_resolution :premises (@p148 @p19) :args (@t84 @t35 @t36)) % 33.57/33.86 (step @p150 :rule refl :args (@t75)) % 33.57/33.86 (step @p151 :rule eq-symm :args (@t37 @t24)) % 33.57/33.86 (step @p152 :rule cong :premises (@p21 @p151) :args ((=> @t31 @t89))) % 33.57/33.86 (assume-push @p272 @t31) % 33.57/33.86 (step @p154 :rule instantiate :premises (@p19) :args ((@list tptp.c tptp.a))) % 33.57/33.86 (step-pop @p273 :rule scope :premises (@p154)) % 33.57/33.86 (step @p155 :rule process_scope :premises (@p273) :args (@t89)) % 33.57/33.86 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 33.57/33.86 (step @p158 :rule implies_elim :premises (@p157)) % 33.57/33.86 (step @p159 :rule chain_m_resolution :premises (@p158 @p19) :args ((= @t24 @t37) @t35 @t36)) % 33.57/33.86 (step @p160 :rule instantiate :premises (@p19) :args ((@list tptp.c tptp.b))) % 33.57/33.86 (step @p161 :rule trans :premises (@p160 @p159)) % 33.57/33.86 (step @p162 :rule refl :args (@t26)) % 33.57/33.86 (step @p163 :rule cong :premises (@p162 @p161) :args ((tptp.divide @t26 @t90))) % 33.57/33.86 (step @p164 :rule eq-symm :args (@t90 @t24)) % 33.57/33.86 (step @p165 :rule cong :premises (@p21 @p164) :args ((=> @t31 @t91))) % 33.57/33.86 (assume-push @p274 @t31) % 33.57/33.86 (step-pop @p275 :rule scope :premises (@p160)) % 33.57/33.86 (step @p167 :rule process_scope :premises (@p275) :args (@t91)) % 33.57/33.86 (step @p169 :rule eq_resolve :premises (@p167 @p165)) % 33.57/33.86 (step @p170 :rule implies_elim :premises (@p169)) % 33.57/33.86 (step @p171 :rule chain_m_resolution :premises (@p170 @p19) :args ((= @t24 @t90) @t35 @t36)) % 33.57/33.86 (step @p172 :rule cong :premises (@p162 @p171) :args (@t92)) % 33.57/33.86 (step @p173 :rule trans :premises (@p172 @p163)) % 33.57/33.86 (step @p174 :rule cong :premises (@p173 @p150) :args (@t93)) % 33.57/33.86 (step @p175 :rule eq-symm :args (@t24 @t10)) % 33.57/33.86 (step @p176 :rule cong :premises (@p175) :args ((forall @t11 (= @t24 @t10)))) % 33.57/33.86 (step @p177 :rule refl :args (@t10)) % 33.57/33.86 (step @p178 :rule cong :premises (@p12 @p177) :args (@t94)) % 33.57/33.86 (step @p179 :rule cong :premises (@p178) :args ((forall @t11 @t94))) % 33.57/33.86 (step @p180 :rule trans :premises (@p179 @p176)) % 33.57/33.86 (step @p181 :rule eq-symm :args (@t10 tptp.zero)) % 33.57/33.86 (step @p182 :rule cong :premises (@p181) :args (@t12)) % 33.57/33.86 (step @p183 :rule trans :premises (@p182 @p180)) % 33.57/33.86 (step @p184 :rule eq_resolve :premises (@p2 @p183)) % 33.57/33.86 (step @p185 :rule eq-symm :args (@t93 @t24)) % 33.57/33.86 (step @p186 :rule refl :args (@t95)) % 33.57/33.86 (step @p187 :rule cong :premises (@p186 @p185) :args ((=> @t95 @t96))) % 33.57/33.86 (assume-push @p276 @t95) % 33.57/33.86 (step @p189 :rule instantiate :premises (@p184) :args ((@list tptp.c tptp.b tptp.a))) % 33.57/33.86 (step-pop @p277 :rule scope :premises (@p189)) % 33.57/33.86 (step @p190 :rule process_scope :premises (@p277) :args (@t96)) % 33.57/33.86 (step @p192 :rule eq_resolve :premises (@p190 @p187)) % 33.57/33.86 (step @p193 :rule implies_elim :premises (@p192)) % 33.57/33.86 (step @p194 :rule chain_m_resolution :premises (@p193 @p184) :args ((= @t24 @t93) @t35 @t97)) % 33.57/33.86 (step @p195 :rule trans :premises (@p194 @p174)) % 33.57/33.86 (step @p196 :rule cnf_or_pos :args (@t88)) % 33.57/33.86 (step @p197 :rule reordering :premises (@p196) :args ((or @t83 @t87 @t85 (not @t88)))) % 33.57/33.86 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p149 @p141) :args (@t83 @t98 (@list @t86 @t84 @t88))) % 33.57/33.86 (step @p199 :rule refl :args (@t100)) % 33.57/33.86 (step @p200 :rule eq-symm :args (@t101 @t24)) % 33.57/33.86 (step @p201 :rule cong :premises (@p200) :args (@t102)) % 33.57/33.86 (step @p202 :rule eq-symm :args (@t103 @t24)) % 33.57/33.86 (step @p203 :rule cong :premises (@p202) :args (@t105)) % 33.57/33.86 (step @p204 :rule nary_cong :premises (@p203 @p201 @p199) :args (@t106)) % 33.57/33.86 (step @p205 :rule cong :premises (@p69 @p204) :args ((=> @t58 @t106))) % 33.57/33.86 (assume-push @p278 @t58) % 33.57/33.86 (step @p207 :rule instantiate :premises (@p62) :args ((@list @t99 @t74))) % 33.57/33.86 (step-pop @p279 :rule scope :premises (@p207)) % 33.57/33.86 (step @p208 :rule process_scope :premises (@p279) :args (@t106)) % 33.57/33.86 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 33.57/33.86 (step @p211 :rule implies_elim :premises (@p210)) % 33.57/33.86 (step @p212 :rule chain_m_resolution :premises (@p211 @p62) :args (@t111 @t35 @t65)) % 33.57/33.86 (step @p213 :rule refl :args (@t99)) % 33.57/33.86 (step @p214 :rule instantiate :premises (@p184) :args ((@list @t26 @t25 @t37))) % 33.57/33.86 (step @p215 :rule trans :premises (@p214 @p198)) % 33.57/33.86 (step @p216 :rule cong :premises (@p215 @p213) :args ((tptp.divide @t103 @t99))) % 33.57/33.86 (step @p217 :rule trans :premises (@p24 @p38)) % 33.57/33.86 (step @p218 :rule cong :premises (@p84 @p217) :args (@t50)) % 33.57/33.86 (step @p219 :rule cong :premises (@p186 @p202) :args ((=> @t95 @t104))) % 33.57/33.86 (assume-push @p280 @t95) % 33.57/33.86 (step-pop @p281 :rule scope :premises (@p214)) % 33.57/33.86 (step @p221 :rule process_scope :premises (@p281) :args (@t104)) % 33.57/33.86 (step @p223 :rule eq_resolve :premises (@p221 @p219)) % 33.57/33.86 (step @p224 :rule implies_elim :premises (@p223)) % 33.57/33.86 (step @p225 :rule chain_m_resolution :premises (@p224 @p184) :args (@t109 @t35 @t97)) % 33.57/33.86 (step @p226 :rule instantiate :premises (@p19) :args ((@list @t27 @t30))) % 33.57/33.86 (step @p227 :rule trans :premises (@p226 @p225)) % 33.57/33.86 (step @p228 :rule cong :premises (@p227 @p218) :args (@t112)) % 33.57/33.86 (step @p229 :rule eq-symm :args (@t112 @t24)) % 33.57/33.86 (step @p230 :rule cong :premises (@p21 @p229) :args ((=> @t31 @t113))) % 33.57/33.86 (assume-push @p282 @t31) % 33.57/33.86 (step @p232 :rule instantiate :premises (@p19) :args ((@list @t50 @t27))) % 33.57/33.86 (step-pop @p283 :rule scope :premises (@p232)) % 33.57/33.86 (step @p233 :rule process_scope :premises (@p283) :args (@t113)) % 33.57/33.86 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 33.57/33.86 (step @p236 :rule implies_elim :premises (@p235)) % 33.57/33.86 (step @p237 :rule chain_m_resolution :premises (@p236 @p19) :args ((= @t24 @t112) @t35 @t36)) % 33.57/33.86 (step @p238 :rule trans :premises (@p237 @p228 @p216)) % 33.57/33.86 (step @p239 :rule cnf_or_pos :args (@t111)) % 33.57/33.86 (step @p240 :rule reordering :premises (@p239) :args ((or @t110 @t100 @t108 (not @t111)))) % 33.57/33.86 (step @p241 :rule chain_m_resolution :premises (@p240 @p225 @p238 @p212) :args (@t100 @t98 (@list @t109 @t107 @t111))) % 33.57/33.86 (assume-push @p284 @t34) % 33.57/33.86 (assume-push @p285 @t41) % 33.57/33.86 (assume-push @p286 @t100) % 33.57/33.86 (assume-push @p287 @t83) % 33.57/33.86 (step @p33 :rule instantiate :premises (@p19) :args (@t40)) % 33.57/33.86 (step @p246 :rule trans :premises (@p33 @p29)) % 33.57/33.86 (step @p247 :rule cong :premises (@p84 @p246) :args (@t99)) % 33.57/33.86 (step @p248 :rule symm :premises (@p241)) % 33.57/33.86 (step @p249 :rule trans :premises (@p198 @p248 @p247)) % 33.57/33.86 (step-pop @p288 :rule scope :premises (@p249)) % 33.57/33.86 (step-pop @p289 :rule scope :premises (@p288)) % 33.57/33.86 (step-pop @p290 :rule scope :premises (@p289)) % 33.57/33.86 (step-pop @p291 :rule scope :premises (@p290)) % 33.57/33.86 (step @p250 :rule process_scope :premises (@p291) :args (@t60)) % 33.57/33.86 (step @p255 :rule implies_elim :premises (@p250)) % 33.57/33.86 (step @p256 :rule cnf_and_neg :args (@t114)) % 33.57/33.86 (step @p257 :rule resolution :premises (@p256 @p255) :args (true @t114)) % 33.57/33.86 (step @p258 :rule reordering :premises (@p257) :args ((or (not @t34) (not @t41) @t60 (not @t83) (not @t100)))) % 33.57/33.86 (step @p259 false :rule chain_m_resolution :premises (@p258 @p241 @p198 @p106 @p38 @p29) :args (false (@list false false true false false) (@list @t100 @t83 @t60 @t41 @t34))) % 33.57/33.86 ) % 33.57/33.86 % SZS output end Proof % 33.57/33.86 % cvc5 exiting %------------------------------------------------------------------------------