%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN007-6 : 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 : n010.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 210.10s 210.38s % Output : Proof 210.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN007-6 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n010.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 02:15:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----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... % 15.33/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.73/33.95 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.74/63.99 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.74/79.01 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.87/112.05 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.95/127.15 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.95/157.19 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.01/172.23 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.00/202.27 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 210.10/210.38 % SZS status Unsatisfiable % 210.10/210.38 % SZS output start Proof % 210.10/210.38 ( % 210.10/210.38 (declare-sort $$unsorted 0) % 210.10/210.38 (declare-const tptp.z $$unsorted) % 210.10/210.38 (declare-const tptp.zQy $$unsorted) % 210.10/210.38 (declare-const tptp.x $$unsorted) % 210.10/210.38 (declare-const tptp.y $$unsorted) % 210.10/210.38 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 210.10/210.38 (declare-const tptp.identity $$unsorted) % 210.10/210.38 (declare-const tptp.zQx $$unsorted) % 210.10/210.38 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 210.10/210.38 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 210.10/210.38 (declare-const tptp.zero $$unsorted) % 210.10/210.38 (define @t1 () (@var "Y" $$unsorted)) % 210.10/210.38 (define @t2 () (@var "X" $$unsorted)) % 210.10/210.38 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 210.10/210.38 (define @t4 () (tptp.less_equal @t2 @t1)) % 210.10/210.38 (define @t5 () (not @t4)) % 210.10/210.38 (define @t6 () (@list @t2 @t1)) % 210.10/210.38 (define @t7 () (@var "Z" $$unsorted)) % 210.10/210.38 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 210.10/210.38 (define @t9 () (@list @t2 @t1 @t7)) % 210.10/210.38 (define @t10 () (@var "V5" $$unsorted)) % 210.10/210.38 (define @t11 () (@var "V4" $$unsorted)) % 210.10/210.38 (define @t12 () (@var "V1" $$unsorted)) % 210.10/210.38 (define @t13 () (@var "V2" $$unsorted)) % 210.10/210.38 (define @t14 () (@var "V3" $$unsorted)) % 210.10/210.38 (define @t15 () (@list @t2)) % 210.10/210.38 (define @t16 () (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 210.10/210.38 (define @t17 () (@var "W" $$unsorted)) % 210.10/210.38 (define @t18 () (tptp.less_equal tptp.x tptp.y)) % 210.10/210.38 (define @t19 () (tptp.quotient tptp.z tptp.y tptp.zQy)) % 210.10/210.38 (define @t20 () (tptp.quotient tptp.z tptp.x tptp.zQx)) % 210.10/210.38 (define @t21 () (tptp.less_equal tptp.zQy tptp.zQx)) % 210.10/210.38 (define @t22 () (not @t21)) % 210.10/210.38 (define @t23 () (tptp.divide tptp.zQy tptp.x)) % 210.10/210.38 (define @t24 () (tptp.less_equal @t23 tptp.zQy)) % 210.10/210.38 (define @t25 () (tptp.quotient tptp.zQy tptp.x @t23)) % 210.10/210.38 (define @t26 () (not @t25)) % 210.10/210.38 (define @t27 () (or @t26 @t24)) % 210.10/210.38 (define @t28 () (@list false false)) % 210.10/210.38 (define @t29 () (tptp.divide @t23 tptp.y)) % 210.10/210.38 (define @t30 () (tptp.divide tptp.zQy tptp.y)) % 210.10/210.38 (define @t31 () (tptp.less_equal tptp.zQy @t30)) % 210.10/210.38 (define @t32 () (not @t31)) % 210.10/210.38 (define @t33 () (tptp.less_equal @t30 tptp.zQy)) % 210.10/210.38 (define @t34 () (not @t33)) % 210.10/210.38 (define @t35 () (or @t34 @t32 (= @t30 tptp.zQy))) % 210.10/210.38 (define @t36 () (= tptp.zQy @t30)) % 210.10/210.38 (define @t37 () (or @t34 @t32 @t36)) % 210.10/210.38 (define @t38 () (tptp.quotient tptp.zQy tptp.y @t30)) % 210.10/210.38 (define @t39 () (not @t38)) % 210.10/210.38 (define @t40 () (tptp.quotient tptp.zQy tptp.zero tptp.zQy)) % 210.10/210.38 (define @t41 () (not @t40)) % 210.10/210.38 (define @t42 () (not @t19)) % 210.10/210.38 (define @t43 () (tptp.quotient tptp.y tptp.y tptp.zero)) % 210.10/210.38 (define @t44 () (not @t43)) % 210.10/210.38 (define @t45 () (or @t42 @t44 @t42 @t41 @t39 @t31)) % 210.10/210.38 (define @t46 () (or @t39 @t33)) % 210.10/210.38 (define @t47 () (@list false false false)) % 210.10/210.38 (define @t48 () (tptp.quotient tptp.zQy tptp.y tptp.zQy)) % 210.10/210.38 (define @t49 () (not @t36)) % 210.10/210.38 (define @t50 () (not @t48)) % 210.10/210.38 (define @t51 () (and @t50 @t36 @t38)) % 210.10/210.38 (define @t52 () (tptp.quotient tptp.x tptp.y tptp.zero)) % 210.10/210.38 (define @t53 () (not @t18)) % 210.10/210.38 (define @t54 () (or @t53 @t52)) % 210.10/210.38 (define @t55 () (tptp.less_equal tptp.zQy @t29)) % 210.10/210.38 (define @t56 () (tptp.quotient @t23 tptp.y @t29)) % 210.10/210.38 (define @t57 () (not @t56)) % 210.10/210.38 (define @t58 () (not @t52)) % 210.10/210.38 (define @t59 () (or @t26 @t58 @t50 @t41 @t57 @t55)) % 210.10/210.38 (define @t60 () (@list false false false false false false)) % 210.10/210.38 (define @t61 () (tptp.less_equal @t29 @t23)) % 210.10/210.38 (define @t62 () (or @t57 @t61)) % 210.10/210.38 (define @t63 () (tptp.less_equal tptp.zQy @t23)) % 210.10/210.38 (define @t64 () (not @t61)) % 210.10/210.38 (define @t65 () (not @t55)) % 210.10/210.38 (define @t66 () (or @t65 @t64 @t63)) % 210.10/210.38 (define @t67 () (= tptp.zQy @t23)) % 210.10/210.38 (define @t68 () (not @t24)) % 210.10/210.38 (define @t69 () (not @t63)) % 210.10/210.38 (define @t70 () (or @t69 @t68 @t67)) % 210.10/210.38 (define @t71 () (tptp.divide tptp.zQx tptp.y)) % 210.10/210.38 (define @t72 () (tptp.quotient tptp.zQy tptp.zero @t23)) % 210.10/210.38 (define @t73 () (and @t40 @t67)) % 210.10/210.38 (define @t74 () (tptp.less_equal @t23 @t71)) % 210.10/210.38 (define @t75 () (tptp.quotient tptp.zQx tptp.y @t71)) % 210.10/210.38 (define @t76 () (not @t75)) % 210.10/210.38 (define @t77 () (not @t72)) % 210.10/210.38 (define @t78 () (not @t20)) % 210.10/210.38 (define @t79 () (or @t78 @t58 @t42 @t77 @t76 @t74)) % 210.10/210.38 (define @t80 () (tptp.less_equal @t71 tptp.zQx)) % 210.10/210.38 (define @t81 () (or @t76 @t80)) % 210.10/210.38 (define @t82 () (tptp.less_equal @t23 tptp.zQx)) % 210.10/210.38 (define @t83 () (not @t80)) % 210.10/210.38 (define @t84 () (not @t74)) % 210.10/210.38 (define @t85 () (or @t84 @t83 @t82)) % 210.10/210.38 (define @t86 () (not @t82)) % 210.10/210.38 (define @t87 () (not @t67)) % 210.10/210.38 (define @t88 () (and @t82 @t67 @t22)) % 210.10/210.38 (assume @p1 (forall @t6 (or @t5 @t3))) % 210.10/210.38 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 210.10/210.38 (assume @p3 (forall @t9 (or @t8 (tptp.less_equal @t7 @t2)))) % 210.10/210.38 (assume @p4 (forall (@list @t2 @t1 @t12 @t7 @t13 @t14 @t11 @t10) (or (not (tptp.quotient @t2 @t1 @t12)) (not (tptp.quotient @t1 @t7 @t13)) (not (tptp.quotient @t2 @t7 @t14)) (not (tptp.quotient @t14 @t13 @t11)) (not (tptp.quotient @t12 @t7 @t10)) (tptp.less_equal @t11 @t10)))) % 210.10/210.38 (assume @p5 (forall @t15 (tptp.less_equal tptp.zero @t2))) % 210.10/210.38 (assume @p6 @t16) % 210.10/210.38 (assume @p7 (forall @t15 (tptp.less_equal @t2 tptp.identity))) % 210.10/210.38 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 210.10/210.38 (assume @p9 (forall (@list @t2 @t1 @t7 @t17) (or @t8 (not (tptp.quotient @t2 @t1 @t17)) (= @t7 @t17)))) % 210.10/210.38 (assume @p10 (forall @t15 (tptp.quotient @t2 tptp.identity tptp.zero))) % 210.10/210.38 (assume @p11 (forall @t15 (tptp.quotient tptp.zero @t2 tptp.zero))) % 210.10/210.38 (assume @p12 (forall @t15 (tptp.quotient @t2 @t2 tptp.zero))) % 210.10/210.38 (assume @p13 (forall @t15 (tptp.quotient @t2 tptp.zero @t2))) % 210.10/210.38 (assume @p14 (forall @t9 (or @t5 (not (tptp.less_equal @t1 @t7)) (tptp.less_equal @t2 @t7)))) % 210.10/210.38 (assume @p15 @t18) % 210.10/210.38 (assume @p16 @t19) % 210.10/210.38 (assume @p17 @t20) % 210.10/210.38 (assume @p18 @t22) % 210.10/210.38 (step @p19 :rule instantiate :premises (@p6) :args ((@list tptp.zQy @t23))) % 210.10/210.38 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.zQy tptp.x @t23))) % 210.10/210.38 (step @p21 :rule instantiate :premises (@p8) :args ((@list tptp.zQy tptp.x))) % 210.10/210.38 (step @p22 :rule cnf_or_pos :args (@t27)) % 210.10/210.38 (step @p23 :rule reordering :premises (@p22) :args ((or @t26 @t24 (not @t27)))) % 210.10/210.38 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t24 @t28 (@list @t25 @t27))) % 210.10/210.38 (step @p25 :rule instantiate :premises (@p14) :args ((@list tptp.zQy @t29 @t23))) % 210.10/210.38 (step @p26 :rule instantiate :premises (@p4) :args ((@list tptp.zQy tptp.x @t23 tptp.y tptp.zero tptp.zQy tptp.zQy @t29))) % 210.10/210.38 (step @p27 :rule instantiate :premises (@p8) :args ((@list @t23 tptp.y))) % 210.10/210.38 (step @p28 :rule eq-symm :args (@t30 tptp.zQy)) % 210.10/210.38 (step @p29 :rule refl :args (@t32)) % 210.10/210.38 (step @p30 :rule refl :args (@t34)) % 210.10/210.38 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args (@t35)) % 210.10/210.38 (step @p32 :rule refl :args (@t16)) % 210.10/210.38 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t16 @t35))) % 210.10/210.38 (assume-push @p175 @t16) % 210.10/210.38 (step @p35 :rule instantiate :premises (@p6) :args ((@list @t30 tptp.zQy))) % 210.10/210.38 (step-pop @p176 :rule scope :premises (@p35)) % 210.10/210.38 (step @p36 :rule process_scope :premises (@p176) :args (@t35)) % 210.10/210.38 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 210.10/210.38 (step @p39 :rule implies_elim :premises (@p38)) % 210.10/210.38 (step @p40 :rule chain_m_resolution :premises (@p39 @p6) :args (@t37 (@list false) (@list @t16))) % 210.10/210.38 (step @p41 :rule instantiate :premises (@p4) :args ((@list tptp.z tptp.y tptp.zQy tptp.y tptp.zero tptp.zQy tptp.zQy @t30))) % 210.10/210.38 (step @p42 :rule instantiate :premises (@p8) :args ((@list tptp.zQy tptp.y))) % 210.10/210.38 (step @p43 :rule instantiate :premises (@p13) :args ((@list tptp.zQy))) % 210.10/210.38 (step @p44 :rule instantiate :premises (@p12) :args ((@list tptp.y))) % 210.10/210.38 (step @p45 :rule cnf_or_pos :args (@t45)) % 210.10/210.38 (step @p46 :rule factoring :premises (@p45)) % 210.10/210.38 (step @p47 :rule reordering :premises (@p46) :args ((or @t42 @t44 @t41 @t39 @t31 (not @t45)))) % 210.10/210.38 (step @p48 :rule chain_m_resolution :premises (@p47 @p16 @p44 @p43 @p42 @p41) :args (@t31 (@list false false false false false) (@list @t19 @t43 @t40 @t38 @t45))) % 210.10/210.38 (step @p49 :rule instantiate :premises (@p3) :args ((@list tptp.zQy tptp.y @t30))) % 210.10/210.38 (step @p50 :rule cnf_or_pos :args (@t46)) % 210.10/210.38 (step @p51 :rule reordering :premises (@p50) :args ((or @t39 @t33 (not @t46)))) % 210.10/210.38 (step @p52 :rule chain_m_resolution :premises (@p51 @p42 @p49) :args (@t33 @t28 (@list @t38 @t46))) % 210.10/210.38 (step @p53 :rule cnf_or_pos :args (@t37)) % 210.10/210.38 (step @p54 :rule reordering :premises (@p53) :args ((or @t36 @t34 @t32 (not @t37)))) % 210.10/210.38 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p48 @p40) :args (@t36 @t47 (@list @t33 @t31 @t37))) % 210.10/210.38 (step @p56 :rule bool-double-not-elim :args (@t48)) % 210.10/210.38 (step @p57 :rule refl :args (@t49)) % 210.10/210.38 (step @p58 :rule refl :args (@t39)) % 210.10/210.38 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args ((or @t39 @t49 (not @t50)))) % 210.10/210.38 (assume-push @p177 @t50) % 210.10/210.38 (assume-push @p178 @t36) % 210.10/210.38 (assume-push @p179 @t38) % 210.10/210.38 (step @p63 :rule evaluate :args ((= true false))) % 210.10/210.38 (step @p64 :rule false_intro :premises (@p177)) % 210.10/210.38 (step @p65 :rule symm :premises (@p55)) % 210.10/210.38 (step @p66 :rule refl :args (tptp.y)) % 210.10/210.38 (step @p67 :rule refl :args (tptp.zQy)) % 210.10/210.38 (step @p68 :rule cong :premises (@p67 @p66 @p65) :args (@t38)) % 210.10/210.38 (step @p69 :rule true_intro :premises (@p42)) % 210.10/210.38 (step @p70 :rule symm :premises (@p69)) % 210.10/210.38 (step @p71 :rule trans :premises (@p70 @p68 @p64)) % 210.10/210.38 (step @p72 false :rule eq_resolve :premises (@p71 @p63)) % 210.10/210.38 (step-pop @p180 :rule scope :premises (@p72)) % 210.10/210.38 (step-pop @p181 :rule scope :premises (@p180)) % 210.10/210.38 (step-pop @p182 :rule scope :premises (@p181)) % 210.10/210.38 (step @p73 :rule process_scope :premises (@p182) :args (false)) % 210.10/210.38 (assume-push @p183 @t38) % 210.10/210.38 (assume-push @p184 @t36) % 210.10/210.38 (assume-push @p185 @t50) % 210.10/210.38 (step @p80 :rule and_intro :premises (@p185 @p55 @p42)) % 210.10/210.38 (step-pop @p186 :rule scope :premises (@p80)) % 210.10/210.38 (step-pop @p187 :rule scope :premises (@p186)) % 210.10/210.38 (step-pop @p188 :rule scope :premises (@p187)) % 210.10/210.38 (step @p81 :rule process_scope :premises (@p188) :args (@t51)) % 210.10/210.38 (step @p85 :rule implies_elim :premises (@p81)) % 210.10/210.38 (step @p86 :rule resolution :premises (@p85 @p73) :args (true @t51)) % 210.10/210.38 (step @p87 :rule not_and :premises (@p86)) % 210.10/210.38 (step @p88 :rule eq_resolve :premises (@p87 @p59)) % 210.10/210.38 (step @p89 :rule reordering :premises (@p88) :args ((or @t39 @t48 @t49))) % 210.10/210.38 (step @p90 :rule chain_m_resolution :premises (@p89 @p42 @p55) :args (@t48 @t28 (@list @t38 @t36))) % 210.10/210.38 (step @p91 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.y))) % 210.10/210.38 (step @p92 :rule cnf_or_pos :args (@t54)) % 210.10/210.38 (step @p93 :rule reordering :premises (@p92) :args ((or @t53 @t52 (not @t54)))) % 210.10/210.38 (step @p94 :rule chain_m_resolution :premises (@p93 @p15 @p91) :args (@t52 @t28 (@list @t18 @t54))) % 210.10/210.38 (step @p95 :rule cnf_or_pos :args (@t59)) % 210.10/210.38 (step @p96 :rule reordering :premises (@p95) :args ((or @t58 @t41 @t26 @t50 @t57 @t55 (not @t59)))) % 210.10/210.38 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p43 @p21 @p90 @p27 @p26) :args (@t55 @t60 (@list @t52 @t40 @t25 @t48 @t56 @t59))) % 210.10/210.38 (step @p98 :rule instantiate :premises (@p3) :args ((@list @t23 tptp.y @t29))) % 210.10/210.38 (step @p99 :rule cnf_or_pos :args (@t62)) % 210.10/210.38 (step @p100 :rule reordering :premises (@p99) :args ((or @t57 @t61 (not @t62)))) % 210.10/210.38 (step @p101 :rule chain_m_resolution :premises (@p100 @p27 @p98) :args (@t61 @t28 (@list @t56 @t62))) % 210.10/210.38 (step @p102 :rule cnf_or_pos :args (@t66)) % 210.10/210.38 (step @p103 :rule reordering :premises (@p102) :args ((or @t64 @t65 @t63 (not @t66)))) % 210.10/210.38 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p97 @p25) :args (@t63 @t47 (@list @t61 @t55 @t66))) % 210.10/210.38 (step @p105 :rule cnf_or_pos :args (@t70)) % 210.10/210.38 (step @p106 :rule reordering :premises (@p105) :args ((or @t67 @t69 @t68 (not @t70)))) % 210.10/210.38 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p24 @p19) :args (@t67 @t47 (@list @t63 @t24 @t70))) % 210.10/210.38 (step @p108 :rule instantiate :premises (@p14) :args ((@list @t23 @t71 tptp.zQx))) % 210.10/210.38 (step @p109 :rule instantiate :premises (@p4) :args ((@list tptp.z tptp.x tptp.zQx tptp.y tptp.zero tptp.zQy @t23 @t71))) % 210.10/210.38 (step @p110 :rule instantiate :premises (@p8) :args ((@list tptp.zQx tptp.y))) % 210.10/210.38 (assume-push @p189 @t40) % 210.10/210.38 (assume-push @p190 @t67) % 210.10/210.38 (assume-push @p191 @t40) % 210.10/210.38 (assume-push @p192 @t67) % 210.10/210.38 (step @p115 :rule true_intro :premises (@p43)) % 210.10/210.38 (step @p116 :rule symm :premises (@p190)) % 210.10/210.38 (step @p117 :rule refl :args (tptp.zero)) % 210.10/210.38 (step @p67 :rule refl :args (tptp.zQy)) % 210.10/210.38 (step @p118 :rule cong :premises (@p67 @p117 @p116) :args (@t72)) % 210.10/210.38 (step @p119 :rule trans :premises (@p118 @p115)) % 210.10/210.38 (step @p120 :rule true_elim :premises (@p119)) % 210.10/210.38 (step-pop @p193 :rule scope :premises (@p120)) % 210.10/210.38 (step-pop @p194 :rule scope :premises (@p193)) % 210.10/210.38 (step @p121 :rule process_scope :premises (@p194) :args (@t72)) % 210.10/210.38 (step @p124 :rule and_intro :premises (@p43 @p190)) % 210.10/210.38 (step @p125 :rule modus_ponens :premises (@p124 @p121)) % 210.10/210.38 (step-pop @p195 :rule scope :premises (@p125)) % 210.10/210.38 (step-pop @p196 :rule scope :premises (@p195)) % 210.10/210.38 (step @p126 :rule process_scope :premises (@p196) :args (@t72)) % 210.10/210.38 (step @p129 :rule implies_elim :premises (@p126)) % 210.10/210.38 (step @p130 :rule cnf_and_neg :args (@t73)) % 210.10/210.38 (step @p131 :rule resolution :premises (@p130 @p129) :args (true @t73)) % 210.10/210.38 (step @p132 :rule chain_m_resolution :premises (@p131 @p43 @p107) :args (@t72 @t28 (@list @t40 @t67))) % 210.10/210.38 (step @p133 :rule cnf_or_pos :args (@t79)) % 210.10/210.38 (step @p134 :rule reordering :premises (@p133) :args ((or @t42 @t78 @t58 @t77 @t76 @t74 (not @t79)))) % 210.10/210.38 (step @p135 :rule chain_m_resolution :premises (@p134 @p16 @p17 @p94 @p132 @p110 @p109) :args (@t74 @t60 (@list @t19 @t20 @t52 @t72 @t75 @t79))) % 210.10/210.38 (step @p136 :rule instantiate :premises (@p3) :args ((@list tptp.zQx tptp.y @t71))) % 210.10/210.38 (step @p137 :rule cnf_or_pos :args (@t81)) % 210.10/210.38 (step @p138 :rule reordering :premises (@p137) :args ((or @t76 @t80 (not @t81)))) % 210.10/210.38 (step @p139 :rule chain_m_resolution :premises (@p138 @p110 @p136) :args (@t80 @t28 (@list @t75 @t81))) % 210.10/210.38 (step @p140 :rule cnf_or_pos :args (@t85)) % 210.10/210.38 (step @p141 :rule reordering :premises (@p140) :args ((or @t83 @t84 @t82 (not @t85)))) % 210.10/210.38 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p135 @p108) :args (@t82 @t47 (@list @t80 @t74 @t85))) % 210.10/210.38 (step @p143 :rule refl :args (@t86)) % 210.10/210.38 (step @p144 :rule refl :args (@t87)) % 210.10/210.38 (step @p145 :rule bool-double-not-elim :args (@t21)) % 210.10/210.38 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args ((or (not @t22) @t87 @t86))) % 210.10/210.38 (assume-push @p197 @t82) % 210.10/210.38 (assume-push @p198 @t67) % 210.10/210.38 (assume-push @p199 @t22) % 210.10/210.38 (step @p150 :rule evaluate :args ((= false true))) % 210.10/210.38 (step @p151 :rule true_intro :premises (@p197)) % 210.10/210.38 (step @p152 :rule refl :args (tptp.zQx)) % 210.10/210.38 (step @p153 :rule cong :premises (@p198 @p152) :args (@t21)) % 210.10/210.38 (step @p154 :rule false_intro :premises (@p18)) % 210.10/210.38 (step @p155 :rule symm :premises (@p154)) % 210.10/210.38 (step @p156 :rule trans :premises (@p155 @p153 @p151)) % 210.10/210.38 (step @p157 false :rule eq_resolve :premises (@p156 @p150)) % 210.10/210.38 (step-pop @p200 :rule scope :premises (@p157)) % 210.10/210.38 (step-pop @p201 :rule scope :premises (@p200)) % 210.10/210.38 (step-pop @p202 :rule scope :premises (@p201)) % 210.10/210.38 (step @p158 :rule process_scope :premises (@p202) :args (false)) % 210.10/210.38 (assume-push @p203 @t22) % 210.10/210.38 (assume-push @p204 @t67) % 210.10/210.38 (assume-push @p205 @t82) % 210.10/210.38 (step @p165 :rule and_intro :premises (@p205 @p204 @p18)) % 210.10/210.38 (step-pop @p206 :rule scope :premises (@p165)) % 210.10/210.38 (step-pop @p207 :rule scope :premises (@p206)) % 210.10/210.38 (step-pop @p208 :rule scope :premises (@p207)) % 210.10/210.39 (step @p166 :rule process_scope :premises (@p208) :args (@t88)) % 210.10/210.39 (step @p170 :rule implies_elim :premises (@p166)) % 210.10/210.39 (step @p171 :rule resolution :premises (@p170 @p158) :args (true @t88)) % 210.10/210.39 (step @p172 :rule not_and :premises (@p171)) % 210.10/210.39 (step @p173 :rule eq_resolve :premises (@p172 @p146)) % 210.10/210.39 (step @p174 false :rule chain_m_resolution :premises (@p173 @p142 @p107 @p18) :args (false (@list false false true) (@list @t82 @t67 @t21))) % 210.10/210.39 ) % 210.10/210.39 % SZS output end Proof % 210.10/210.39 % cvc5 exiting %------------------------------------------------------------------------------