%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN013-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:07:48 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN013-1 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 23:17:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.k $$unsorted) % 0.37/0.57 (declare-const tptp.m $$unsorted) % 0.37/0.57 (declare-const tptp.n $$unsorted) % 0.37/0.57 (define @t1 () (= tptp.m tptp.n)) % 0.37/0.57 (define @t2 () (= tptp.n tptp.k)) % 0.37/0.57 (define @t3 () (= tptp.k tptp.m)) % 0.37/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.f @t4)) % 0.37/0.57 (define @t6 () (not (= @t5 tptp.m))) % 0.37/0.57 (define @t7 () (tptp.element @t4 tptp.m)) % 0.37/0.57 (define @t8 () (not @t7)) % 0.37/0.57 (define @t9 () (= @t4 tptp.m)) % 0.37/0.57 (define @t10 () (or @t9 @t8 @t6)) % 0.37/0.57 (define @t11 () (@list @t4)) % 0.37/0.57 (define @t12 () (forall @t11 @t10)) % 0.37/0.57 (define @t13 () (not (= @t5 @t4))) % 0.37/0.57 (define @t14 () (or @t9 @t8 @t13)) % 0.37/0.57 (define @t15 () (forall @t11 @t14)) % 0.37/0.57 (define @t16 () (tptp.element @t4 @t5)) % 0.37/0.57 (define @t17 () (or @t9 @t8 @t16)) % 0.37/0.57 (define @t18 () (forall @t11 @t17)) % 0.37/0.57 (define @t19 () (tptp.element @t5 @t4)) % 0.37/0.57 (define @t20 () (or @t9 @t8 @t19)) % 0.37/0.57 (define @t21 () (forall @t11 @t20)) % 0.37/0.57 (define @t22 () (@var "V" $$unsorted)) % 0.37/0.57 (define @t23 () (not (tptp.element @t22 @t4))) % 0.37/0.57 (define @t24 () (not (tptp.element @t4 @t22))) % 0.37/0.57 (define @t25 () (= @t22 @t4)) % 0.37/0.57 (define @t26 () (or @t9 @t7 (= @t22 tptp.m) @t25 @t24 @t23)) % 0.37/0.57 (define @t27 () (@list @t4 @t22)) % 0.37/0.57 (define @t28 () (forall @t27 @t26)) % 0.37/0.57 (define @t29 () (tptp.g @t4)) % 0.37/0.57 (define @t30 () (not (= @t29 tptp.n))) % 0.37/0.57 (define @t31 () (tptp.element @t4 tptp.n)) % 0.37/0.57 (define @t32 () (= @t4 tptp.n)) % 0.37/0.57 (define @t33 () (or @t32 @t31 @t30)) % 0.37/0.57 (define @t34 () (forall @t11 @t33)) % 0.37/0.57 (define @t35 () (not (= @t29 @t4))) % 0.37/0.57 (define @t36 () (or @t32 @t31 @t35)) % 0.37/0.57 (define @t37 () (forall @t11 @t36)) % 0.37/0.57 (define @t38 () (tptp.element @t4 @t29)) % 0.37/0.57 (define @t39 () (or @t32 @t31 @t38)) % 0.37/0.57 (define @t40 () (forall @t11 @t39)) % 0.37/0.57 (define @t41 () (tptp.element @t29 @t4)) % 0.37/0.57 (define @t42 () (or @t32 @t31 @t41)) % 0.37/0.57 (define @t43 () (forall @t11 @t42)) % 0.37/0.57 (define @t44 () (not @t31)) % 0.37/0.57 (define @t45 () (or @t32 @t44 (= @t22 tptp.n) @t25 @t24 @t23)) % 0.37/0.57 (define @t46 () (forall @t27 @t45)) % 0.37/0.57 (define @t47 () (tptp.element @t4 tptp.k)) % 0.37/0.57 (define @t48 () (not @t9)) % 0.37/0.57 (define @t49 () (= @t4 tptp.k)) % 0.37/0.57 (define @t50 () (or @t49 @t48 @t47)) % 0.37/0.57 (define @t51 () (forall @t11 @t50)) % 0.37/0.57 (define @t52 () (not @t32)) % 0.37/0.57 (define @t53 () (or @t49 @t52 @t47)) % 0.37/0.57 (define @t54 () (forall @t11 @t53)) % 0.37/0.57 (define @t55 () (not @t47)) % 0.37/0.57 (define @t56 () (or @t49 @t9 @t32 @t55)) % 0.37/0.57 (define @t57 () (forall @t11 @t56)) % 0.37/0.57 (define @t58 () (tptp.element tptp.m tptp.k)) % 0.37/0.57 (define @t59 () (= tptp.m tptp.k)) % 0.37/0.57 (define @t60 () (not (= tptp.m tptp.m))) % 0.37/0.57 (define @t61 () (or @t3 @t60 @t58)) % 0.37/0.57 (define @t62 () (= tptp.m @t4)) % 0.37/0.57 (define @t63 () (not @t62)) % 0.37/0.57 (define @t64 () (= tptp.k @t4)) % 0.37/0.57 (define @t65 () (or @t63 @t64 @t63 @t47)) % 0.37/0.57 (define @t66 () (or @t64 @t63 @t47)) % 0.37/0.57 (define @t67 () (@list true)) % 0.37/0.57 (define @t68 () (not @t58)) % 0.37/0.57 (define @t69 () (tptp.element tptp.k tptp.m)) % 0.37/0.57 (define @t70 () (not @t69)) % 0.37/0.57 (define @t71 () (= tptp.n tptp.m)) % 0.37/0.57 (define @t72 () (tptp.element tptp.k tptp.n)) % 0.37/0.57 (define @t73 () (not @t72)) % 0.37/0.57 (define @t74 () (or @t2 @t73 @t71 @t3 @t70 @t68)) % 0.37/0.57 (define @t75 () (= @t4 @t22)) % 0.37/0.57 (define @t76 () (= tptp.n @t4)) % 0.37/0.57 (define @t77 () (forall @t27 (or @t76 @t44 (= tptp.n @t22) @t75 @t24 @t23))) % 0.37/0.57 (define @t78 () (or @t2 @t73 @t71 @t59 @t70 @t68)) % 0.37/0.57 (define @t79 () (@list false)) % 0.37/0.57 (define @t80 () (@list tptp.k)) % 0.37/0.57 (define @t81 () (tptp.g tptp.k)) % 0.37/0.57 (define @t82 () (= tptp.n @t81)) % 0.37/0.57 (define @t83 () (not @t82)) % 0.37/0.57 (define @t84 () (or @t2 @t72 @t83)) % 0.37/0.57 (define @t85 () (= tptp.k @t81)) % 0.37/0.57 (define @t86 () (not @t85)) % 0.37/0.57 (define @t87 () (or @t2 @t72 @t86)) % 0.37/0.57 (define @t88 () (tptp.element tptp.k @t81)) % 0.37/0.57 (define @t89 () (or @t2 @t72 @t88)) % 0.37/0.57 (define @t90 () (tptp.element @t81 tptp.k)) % 0.37/0.57 (define @t91 () (or @t2 @t72 @t90)) % 0.37/0.57 (define @t92 () (not @t90)) % 0.37/0.57 (define @t93 () (= tptp.m @t81)) % 0.37/0.57 (define @t94 () (or @t85 @t93 @t82 @t92)) % 0.37/0.57 (define @t95 () (and @t88 @t93)) % 0.37/0.57 (define @t96 () (tptp.f tptp.k)) % 0.37/0.57 (define @t97 () (= tptp.m @t96)) % 0.37/0.57 (define @t98 () (not @t97)) % 0.37/0.57 (define @t99 () (or @t59 @t70 @t98)) % 0.37/0.57 (define @t100 () (= tptp.k @t96)) % 0.37/0.57 (define @t101 () (not @t100)) % 0.37/0.57 (define @t102 () (or @t59 @t70 @t101)) % 0.37/0.57 (define @t103 () (tptp.element tptp.k @t96)) % 0.37/0.57 (define @t104 () (or @t59 @t70 @t103)) % 0.37/0.57 (define @t105 () (tptp.element @t96 tptp.k)) % 0.37/0.57 (define @t106 () (or @t59 @t70 @t105)) % 0.37/0.57 (define @t107 () (not @t105)) % 0.37/0.57 (define @t108 () (= tptp.n @t96)) % 0.37/0.57 (define @t109 () (or @t100 @t97 @t108 @t107)) % 0.37/0.57 (define @t110 () (not @t108)) % 0.37/0.57 (define @t111 () (not @t103)) % 0.37/0.57 (define @t112 () (and @t73 @t108 @t103)) % 0.37/0.57 (define @t113 () (tptp.element tptp.n tptp.k)) % 0.37/0.57 (define @t114 () (not @t113)) % 0.37/0.57 (define @t115 () (= tptp.k tptp.n)) % 0.37/0.57 (define @t116 () (or @t59 @t69 @t1 @t115 @t73 @t114)) % 0.37/0.57 (define @t117 () (forall @t27 (or @t62 @t7 (= tptp.m @t22) @t75 @t24 @t23))) % 0.37/0.57 (define @t118 () (or @t59 @t69 @t71 @t2 @t73 @t114)) % 0.37/0.57 (define @t119 () (not (= tptp.n tptp.n))) % 0.37/0.57 (define @t120 () (or @t115 @t119 @t113)) % 0.37/0.57 (define @t121 () (not @t76)) % 0.37/0.57 (define @t122 () (or @t121 @t64 @t121 @t47)) % 0.37/0.57 (define @t123 () (or @t64 @t121 @t47)) % 0.37/0.57 (assume @p1 (not @t1)) % 0.37/0.57 (assume @p2 (not @t2)) % 0.37/0.57 (assume @p3 (not @t3)) % 0.37/0.57 (assume @p4 @t12) % 0.37/0.57 (assume @p5 @t15) % 0.37/0.57 (assume @p6 @t18) % 0.37/0.57 (assume @p7 @t21) % 0.37/0.57 (assume @p8 @t28) % 0.37/0.57 (assume @p9 @t34) % 0.37/0.57 (assume @p10 @t37) % 0.37/0.57 (assume @p11 @t40) % 0.37/0.57 (assume @p12 @t43) % 0.37/0.57 (assume @p13 @t46) % 0.37/0.57 (assume @p14 @t51) % 0.37/0.57 (assume @p15 @t54) % 0.37/0.57 (assume @p16 @t57) % 0.37/0.57 (step @p17 :rule symm :premises (@p1)) % 0.37/0.57 (step @p18 :rule symm :premises (@p3)) % 0.37/0.57 (step @p19 :rule aci_norm :args ((= (or @t59 false @t58) (or @t59 @t58)))) % 0.37/0.57 (step @p20 :rule refl :args (@t58)) % 0.37/0.57 (step @p21 :rule evaluate :args ((not true))) % 0.37/0.57 (step @p22 :rule eq-refl :args (tptp.m)) % 0.37/0.57 (step @p23 :rule cong :premises (@p22) :args (@t60)) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p21)) % 0.37/0.57 (step @p25 :rule eq-symm :args (tptp.k tptp.m)) % 0.37/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24 @p20) :args (@t61)) % 0.37/0.57 (step @p27 :rule trans :premises (@p26 @p19)) % 0.37/0.57 (step @p28 :rule quant-var-elim-eq :args ((= (forall @t11 (or @t48 @t64 @t63 @t47)) @t61))) % 0.37/0.57 (step @p29 :rule refl :args (@t47)) % 0.37/0.57 (step @p30 :rule refl :args (@t63)) % 0.37/0.57 (step @p31 :rule refl :args (@t64)) % 0.37/0.57 (step @p32 :rule eq-symm :args (tptp.m @t4)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args (@t63)) % 0.37/0.57 (step @p34 :rule nary_cong :premises (@p33 @p31 @p30 @p29) :args (@t65)) % 0.37/0.57 (step @p35 :rule aci_norm :args ((= @t66 @t65))) % 0.37/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36) :args ((forall @t11 @t66))) % 0.37/0.57 (step @p38 :rule trans :premises (@p37 @p28)) % 0.37/0.57 (step @p39 :rule trans :premises (@p38 @p27)) % 0.37/0.57 (step @p40 :rule refl :args (@t47)) % 0.37/0.57 (step @p41 :rule eq-symm :args (@t4 tptp.m)) % 0.37/0.57 (step @p42 :rule cong :premises (@p41) :args (@t48)) % 0.37/0.57 (step @p43 :rule eq-symm :args (@t4 tptp.k)) % 0.37/0.57 (step @p44 :rule nary_cong :premises (@p43 @p42 @p40) :args (@t50)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args (@t51)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p39)) % 0.37/0.57 (step @p47 :rule eq_resolve :premises (@p14 @p46)) % 0.37/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p18) :args (@t58 @t67 (@list @t59))) % 0.37/0.57 (step @p49 :rule refl :args (@t23)) % 0.37/0.57 (step @p50 :rule refl :args (@t24)) % 0.37/0.57 (step @p51 :rule eq-symm :args (@t22 @t4)) % 0.37/0.57 (step @p52 :rule eq-symm :args (@t22 tptp.n)) % 0.37/0.57 (step @p53 :rule refl :args (@t44)) % 0.37/0.57 (step @p54 :rule eq-symm :args (@t4 tptp.n)) % 0.37/0.57 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52 @p51 @p50 @p49) :args (@t45)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args (@t46)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p13 @p56)) % 0.37/0.57 (step @p58 :rule refl :args (@t68)) % 0.37/0.57 (step @p59 :rule refl :args (@t70)) % 0.37/0.57 (step @p60 :rule refl :args (@t71)) % 0.37/0.57 (step @p61 :rule refl :args (@t73)) % 0.37/0.57 (step @p62 :rule refl :args (@t2)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p25 @p59 @p58) :args (@t74)) % 0.37/0.57 (step @p64 :rule refl :args (@t77)) % 0.37/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t77 @t74))) % 0.37/0.57 (assume-push @p247 @t77) % 0.37/0.57 (step @p67 :rule instantiate :premises (@p57) :args ((@list tptp.k tptp.m))) % 0.37/0.57 (step-pop @p248 :rule scope :premises (@p67)) % 0.37/0.57 (step @p68 :rule process_scope :premises (@p248) :args (@t74)) % 0.37/0.57 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 0.37/0.57 (step @p71 :rule implies_elim :premises (@p70)) % 0.37/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p57) :args (@t78 @t79 (@list @t77))) % 0.37/0.57 (step @p73 :rule eq-symm :args (@t29 tptp.n)) % 0.37/0.57 (step @p74 :rule cong :premises (@p73) :args (@t30)) % 0.37/0.57 (step @p75 :rule refl :args (@t31)) % 0.37/0.57 (step @p76 :rule nary_cong :premises (@p54 @p75 @p74) :args (@t33)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76) :args (@t34)) % 0.37/0.57 (step @p78 :rule eq_resolve :premises (@p9 @p77)) % 0.37/0.57 (step @p79 :rule instantiate :premises (@p78) :args (@t80)) % 0.37/0.57 (step @p80 :rule cnf_or_pos :args (@t84)) % 0.37/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t2 @t72 @t83 (not @t84)))) % 0.37/0.57 (step @p82 :rule eq-symm :args (@t29 @t4)) % 0.37/0.57 (step @p83 :rule cong :premises (@p82) :args (@t35)) % 0.37/0.57 (step @p84 :rule nary_cong :premises (@p54 @p75 @p83) :args (@t36)) % 0.37/0.57 (step @p85 :rule cong :premises (@p84) :args (@t37)) % 0.37/0.57 (step @p86 :rule eq_resolve :premises (@p10 @p85)) % 0.37/0.57 (step @p87 :rule instantiate :premises (@p86) :args (@t80)) % 0.37/0.57 (step @p88 :rule cnf_or_pos :args (@t87)) % 0.37/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t2 @t72 @t86 (not @t87)))) % 0.37/0.57 (step @p90 :rule refl :args (@t38)) % 0.37/0.57 (step @p91 :rule nary_cong :premises (@p54 @p75 @p90) :args (@t39)) % 0.37/0.57 (step @p92 :rule cong :premises (@p91) :args (@t40)) % 0.37/0.57 (step @p93 :rule eq_resolve :premises (@p11 @p92)) % 0.37/0.57 (step @p94 :rule instantiate :premises (@p93) :args (@t80)) % 0.37/0.57 (step @p95 :rule cnf_or_pos :args (@t89)) % 0.37/0.57 (step @p96 :rule reordering :premises (@p95) :args ((or @t2 @t72 @t88 (not @t89)))) % 0.37/0.57 (step @p97 :rule refl :args (@t41)) % 0.37/0.57 (step @p98 :rule nary_cong :premises (@p54 @p75 @p97) :args (@t42)) % 0.37/0.57 (step @p99 :rule cong :premises (@p98) :args (@t43)) % 0.37/0.57 (step @p100 :rule eq_resolve :premises (@p12 @p99)) % 0.37/0.57 (step @p101 :rule instantiate :premises (@p100) :args (@t80)) % 0.37/0.57 (step @p102 :rule cnf_or_pos :args (@t91)) % 0.37/0.57 (step @p103 :rule reordering :premises (@p102) :args ((or @t2 @t72 @t90 (not @t91)))) % 0.37/0.57 (step @p104 :rule refl :args (@t55)) % 0.37/0.57 (step @p105 :rule nary_cong :premises (@p43 @p41 @p54 @p104) :args (@t56)) % 0.37/0.57 (step @p106 :rule cong :premises (@p105) :args (@t57)) % 0.37/0.57 (step @p107 :rule eq_resolve :premises (@p16 @p106)) % 0.37/0.57 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t81))) % 0.37/0.57 (step @p109 :rule cnf_or_pos :args (@t94)) % 0.37/0.57 (step @p110 :rule reordering :premises (@p109) :args ((or @t82 @t85 @t92 @t93 (not @t94)))) % 0.37/0.57 (assume-push @p249 @t88) % 0.37/0.57 (assume-push @p250 @t93) % 0.37/0.57 (assume-push @p251 @t88) % 0.37/0.57 (assume-push @p252 @t93) % 0.37/0.57 (step @p115 :rule true_intro :premises (@p249)) % 0.37/0.57 (step @p116 :rule refl :args (tptp.k)) % 0.37/0.57 (step @p117 :rule cong :premises (@p116 @p250) :args (@t69)) % 0.37/0.57 (step @p118 :rule trans :premises (@p117 @p115)) % 0.37/0.57 (step @p119 :rule true_elim :premises (@p118)) % 0.37/0.57 (step-pop @p253 :rule scope :premises (@p119)) % 0.37/0.57 (step-pop @p254 :rule scope :premises (@p253)) % 0.37/0.57 (step @p120 :rule process_scope :premises (@p254) :args (@t69)) % 0.37/0.57 (step @p123 :rule and_intro :premises (@p249 @p250)) % 0.37/0.57 (step @p124 :rule modus_ponens :premises (@p123 @p120)) % 0.37/0.57 (step-pop @p255 :rule scope :premises (@p124)) % 0.37/0.57 (step-pop @p256 :rule scope :premises (@p255)) % 0.37/0.57 (step @p125 :rule process_scope :premises (@p256) :args (@t69)) % 0.37/0.57 (step @p128 :rule implies_elim :premises (@p125)) % 0.37/0.57 (step @p129 :rule cnf_and_neg :args (@t95)) % 0.37/0.57 (step @p130 :rule resolution :premises (@p129 @p128) :args (true @t95)) % 0.37/0.57 (step @p131 :rule reordering :premises (@p130) :args ((or @t69 (not @t88) (not @t93)))) % 0.37/0.57 (step @p132 :rule eq-symm :args (@t5 tptp.m)) % 0.37/0.57 (step @p133 :rule cong :premises (@p132) :args (@t6)) % 0.37/0.57 (step @p134 :rule refl :args (@t8)) % 0.37/0.57 (step @p135 :rule nary_cong :premises (@p41 @p134 @p133) :args (@t10)) % 0.37/0.57 (step @p136 :rule cong :premises (@p135) :args (@t12)) % 0.37/0.57 (step @p137 :rule eq_resolve :premises (@p4 @p136)) % 0.37/0.57 (step @p138 :rule instantiate :premises (@p137) :args (@t80)) % 0.37/0.57 (step @p139 :rule cnf_or_pos :args (@t99)) % 0.37/0.57 (step @p140 :rule reordering :premises (@p139) :args ((or @t59 @t70 @t98 (not @t99)))) % 0.37/0.57 (step @p141 :rule eq-symm :args (@t5 @t4)) % 0.37/0.57 (step @p142 :rule cong :premises (@p141) :args (@t13)) % 0.37/0.57 (step @p143 :rule nary_cong :premises (@p41 @p134 @p142) :args (@t14)) % 0.37/0.57 (step @p144 :rule cong :premises (@p143) :args (@t15)) % 0.37/0.57 (step @p145 :rule eq_resolve :premises (@p5 @p144)) % 0.37/0.57 (step @p146 :rule instantiate :premises (@p145) :args (@t80)) % 0.37/0.57 (step @p147 :rule cnf_or_pos :args (@t102)) % 0.37/0.57 (step @p148 :rule reordering :premises (@p147) :args ((or @t59 @t70 @t101 (not @t102)))) % 0.37/0.57 (step @p149 :rule refl :args (@t16)) % 0.37/0.57 (step @p150 :rule nary_cong :premises (@p41 @p134 @p149) :args (@t17)) % 0.37/0.57 (step @p151 :rule cong :premises (@p150) :args (@t18)) % 0.37/0.57 (step @p152 :rule eq_resolve :premises (@p6 @p151)) % 0.37/0.57 (step @p153 :rule instantiate :premises (@p152) :args (@t80)) % 0.37/0.57 (step @p154 :rule cnf_or_pos :args (@t104)) % 0.37/0.57 (step @p155 :rule reordering :premises (@p154) :args ((or @t59 @t70 @t103 (not @t104)))) % 0.37/0.57 (step @p156 :rule refl :args (@t19)) % 0.37/0.57 (step @p157 :rule nary_cong :premises (@p41 @p134 @p156) :args (@t20)) % 0.37/0.57 (step @p158 :rule cong :premises (@p157) :args (@t21)) % 0.37/0.57 (step @p159 :rule eq_resolve :premises (@p7 @p158)) % 0.37/0.57 (step @p160 :rule instantiate :premises (@p159) :args (@t80)) % 0.37/0.57 (step @p161 :rule cnf_or_pos :args (@t106)) % 0.37/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t59 @t70 @t105 (not @t106)))) % 0.37/0.57 (step @p163 :rule instantiate :premises (@p107) :args ((@list @t96))) % 0.37/0.57 (step @p164 :rule cnf_or_pos :args (@t109)) % 0.37/0.57 (step @p165 :rule reordering :premises (@p164) :args ((or @t97 @t100 @t107 @t108 (not @t109)))) % 0.37/0.57 (step @p166 :rule refl :args (@t110)) % 0.37/0.57 (step @p167 :rule refl :args (@t111)) % 0.37/0.57 (step @p168 :rule bool-double-not-elim :args (@t72)) % 0.37/0.57 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args ((or (not @t73) @t111 @t110))) % 0.37/0.57 (assume-push @p257 @t73) % 0.37/0.57 (assume-push @p258 @t108) % 0.37/0.57 (assume-push @p259 @t103) % 0.37/0.57 (step @p173 :rule evaluate :args ((= true false))) % 0.37/0.57 (step @p174 :rule false_intro :premises (@p257)) % 0.37/0.57 (step @p175 :rule symm :premises (@p258)) % 0.37/0.57 (step @p116 :rule refl :args (tptp.k)) % 0.37/0.57 (step @p176 :rule cong :premises (@p116 @p175) :args (@t103)) % 0.37/0.57 (step @p177 :rule true_intro :premises (@p259)) % 0.37/0.57 (step @p178 :rule symm :premises (@p177)) % 0.37/0.57 (step @p179 :rule trans :premises (@p178 @p176 @p174)) % 0.37/0.57 (step @p180 false :rule eq_resolve :premises (@p179 @p173)) % 0.37/0.57 (step-pop @p260 :rule scope :premises (@p180)) % 0.37/0.57 (step-pop @p261 :rule scope :premises (@p260)) % 0.37/0.57 (step-pop @p262 :rule scope :premises (@p261)) % 0.37/0.57 (step @p181 :rule process_scope :premises (@p262) :args (false)) % 0.37/0.57 (assume-push @p263 @t73) % 0.37/0.57 (assume-push @p264 @t103) % 0.37/0.57 (assume-push @p265 @t108) % 0.37/0.57 (step @p188 :rule and_intro :premises (@p263 @p265 @p264)) % 0.37/0.57 (step-pop @p266 :rule scope :premises (@p188)) % 0.37/0.57 (step-pop @p267 :rule scope :premises (@p266)) % 0.37/0.57 (step-pop @p268 :rule scope :premises (@p267)) % 0.37/0.57 (step @p189 :rule process_scope :premises (@p268) :args (@t112)) % 0.37/0.57 (step @p193 :rule implies_elim :premises (@p189)) % 0.37/0.57 (step @p194 :rule resolution :premises (@p193 @p181) :args (true @t112)) % 0.37/0.57 (step @p195 :rule not_and :premises (@p194)) % 0.37/0.57 (step @p196 :rule eq_resolve :premises (@p195 @p169)) % 0.37/0.57 (step @p197 :rule chain_m_resolution :premises (@p196 @p165 @p163 @p162 @p160 @p18 @p155 @p153 @p18 @p148 @p146 @p18 @p140 @p138 @p18 @p131 @p110 @p108 @p103 @p101 @p2 @p96 @p94 @p2 @p89 @p87 @p2 @p81 @p79 @p2) :args (@t72 (@list false false false false true false false true true false true true false true false false false false false true false false true true false true true false true) (@list @t108 @t109 @t105 @t106 @t59 @t103 @t104 @t59 @t100 @t102 @t59 @t97 @t99 @t59 @t69 @t93 @t94 @t90 @t91 @t2 @t88 @t89 @t2 @t85 @t87 @t2 @t82 @t84 @t2))) % 0.37/0.57 (step @p198 :rule eq-symm :args (@t22 tptp.m)) % 0.37/0.57 (step @p199 :rule refl :args (@t7)) % 0.37/0.57 (step @p200 :rule nary_cong :premises (@p41 @p199 @p198 @p51 @p50 @p49) :args (@t26)) % 0.37/0.57 (step @p201 :rule cong :premises (@p200) :args (@t28)) % 0.37/0.57 (step @p202 :rule eq_resolve :premises (@p8 @p201)) % 0.37/0.57 (step @p203 :rule refl :args (@t114)) % 0.37/0.57 (step @p204 :rule eq-symm :args (tptp.k tptp.n)) % 0.37/0.57 (step @p205 :rule eq-symm :args (tptp.m tptp.n)) % 0.37/0.57 (step @p206 :rule refl :args (@t69)) % 0.37/0.57 (step @p207 :rule refl :args (@t59)) % 0.37/0.57 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205 @p204 @p61 @p203) :args (@t116)) % 0.37/0.57 (step @p209 :rule refl :args (@t117)) % 0.37/0.57 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t117 @t116))) % 0.37/0.57 (assume-push @p269 @t117) % 0.37/0.57 (step @p212 :rule instantiate :premises (@p202) :args ((@list tptp.k tptp.n))) % 0.37/0.57 (step-pop @p270 :rule scope :premises (@p212)) % 0.37/0.57 (step @p213 :rule process_scope :premises (@p270) :args (@t116)) % 0.37/0.57 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 0.37/0.57 (step @p216 :rule implies_elim :premises (@p215)) % 0.37/0.57 (step @p217 :rule chain_m_resolution :premises (@p216 @p202) :args (@t118 @t79 (@list @t117))) % 0.37/0.57 (step @p218 :rule aci_norm :args ((= (or @t2 false @t113) (or @t2 @t113)))) % 0.37/0.57 (step @p219 :rule refl :args (@t113)) % 0.37/0.57 (step @p220 :rule eq-refl :args (tptp.n)) % 0.37/0.57 (step @p221 :rule cong :premises (@p220) :args (@t119)) % 0.37/0.57 (step @p222 :rule trans :premises (@p221 @p21)) % 0.37/0.57 (step @p223 :rule nary_cong :premises (@p204 @p222 @p219) :args (@t120)) % 0.37/0.57 (step @p224 :rule trans :premises (@p223 @p218)) % 0.37/0.57 (step @p225 :rule quant-var-elim-eq :args ((= (forall @t11 (or @t52 @t64 @t121 @t47)) @t120))) % 0.37/0.57 (step @p226 :rule refl :args (@t121)) % 0.37/0.57 (step @p227 :rule eq-symm :args (tptp.n @t4)) % 0.37/0.57 (step @p228 :rule cong :premises (@p227) :args (@t121)) % 0.37/0.57 (step @p229 :rule nary_cong :premises (@p228 @p31 @p226 @p29) :args (@t122)) % 0.37/0.57 (step @p230 :rule aci_norm :args ((= @t123 @t122))) % 0.37/0.57 (step @p231 :rule trans :premises (@p230 @p229)) % 0.37/0.57 (step @p232 :rule cong :premises (@p231) :args ((forall @t11 @t123))) % 0.37/0.57 (step @p233 :rule trans :premises (@p232 @p225)) % 0.37/0.57 (step @p234 :rule trans :premises (@p233 @p224)) % 0.37/0.57 (step @p235 :rule cong :premises (@p54) :args (@t52)) % 0.37/0.57 (step @p236 :rule nary_cong :premises (@p43 @p235 @p40) :args (@t53)) % 0.37/0.57 (step @p237 :rule cong :premises (@p236) :args (@t54)) % 0.37/0.57 (step @p238 :rule trans :premises (@p237 @p234)) % 0.37/0.57 (step @p239 :rule eq_resolve :premises (@p15 @p238)) % 0.37/0.57 (step @p240 :rule chain_m_resolution :premises (@p239 @p2) :args (@t113 @t67 (@list @t2))) % 0.37/0.57 (step @p241 :rule cnf_or_pos :args (@t118)) % 0.37/0.57 (step @p242 :rule reordering :premises (@p241) :args ((or @t2 @t71 @t59 @t114 @t73 @t69 (not @t118)))) % 0.37/0.57 (step @p243 :rule chain_m_resolution :premises (@p242 @p2 @p17 @p18 @p240 @p197 @p217) :args (@t69 (@list true true true false false false) (@list @t2 @t71 @t59 @t113 @t72 @t118))) % 0.37/0.57 (step @p244 :rule cnf_or_pos :args (@t78)) % 0.37/0.57 (step @p245 :rule reordering :premises (@p244) :args ((or @t2 @t71 @t59 @t68 @t73 @t70 (not @t78)))) % 0.37/0.57 (step @p246 false :rule chain_m_resolution :premises (@p245 @p243 @p197 @p72 @p48 @p18 @p2 @p17) :args (false (@list false false false false true true true) (@list @t69 @t72 @t78 @t58 @t59 @t2 @t71))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------