%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL109-5 : TPTP v9.3.1. 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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:11 AM UTC 2026 % Result : Unsatisfiable 15.25s 15.72s % Output : Proof 15.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n004.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 19:50:44 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.10/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.20/15.64 --- Run --no-e-matching --full-saturate-quant at 6... % 15.25/15.72 % SZS status Unsatisfiable % 15.25/15.72 % SZS output start Proof % 15.25/15.73 ( % 15.25/15.73 (declare-sort $$unsorted 0) % 15.25/15.73 (declare-const tptp.y $$unsorted) % 15.25/15.73 (declare-const tptp.ordered (-> $$unsorted $$unsorted Bool)) % 15.25/15.73 (declare-const tptp.big_hat (-> $$unsorted $$unsorted $$unsorted)) % 15.25/15.73 (declare-const tptp.big_V (-> $$unsorted $$unsorted $$unsorted)) % 15.25/15.73 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 15.25/15.73 (declare-const tptp.x $$unsorted) % 15.25/15.73 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 15.25/15.73 (declare-const tptp.truth $$unsorted) % 15.25/15.73 (define @t1 () (@var "X" $$unsorted)) % 15.25/15.73 (define @t2 () (tptp.implies tptp.truth @t1)) % 15.25/15.73 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 15.25/15.73 (define @t4 () (@var "Z" $$unsorted)) % 15.25/15.73 (define @t5 () (tptp.implies @t1 @t4)) % 15.25/15.73 (define @t6 () (@var "Y" $$unsorted)) % 15.25/15.73 (define @t7 () (tptp.implies @t6 @t4)) % 15.25/15.73 (define @t8 () (tptp.implies @t1 @t6)) % 15.25/15.73 (define @t9 () (tptp.implies @t8 (tptp.implies @t7 @t5))) % 15.25/15.73 (define @t10 () (@list @t1 @t6 @t4)) % 15.25/15.73 (define @t11 () (forall @t10 (= @t9 tptp.truth))) % 15.25/15.73 (define @t12 () (tptp.implies @t6 @t1)) % 15.25/15.73 (define @t13 () (tptp.implies @t8 @t6)) % 15.25/15.73 (define @t14 () (@list @t1 @t6)) % 15.25/15.73 (define @t15 () (tptp.not @t6)) % 15.25/15.73 (define @t16 () (tptp.not @t1)) % 15.25/15.73 (define @t17 () (tptp.big_V @t1 @t6)) % 15.25/15.73 (define @t18 () (forall @t14 (= @t17 @t13))) % 15.25/15.73 (define @t19 () (tptp.big_V @t16 @t15)) % 15.25/15.73 (define @t20 () (tptp.big_hat @t1 @t6)) % 15.25/15.73 (define @t21 () (= @t8 tptp.truth)) % 15.25/15.73 (define @t22 () (tptp.ordered @t1 @t6)) % 15.25/15.73 (define @t23 () (not @t22)) % 15.25/15.73 (define @t24 () (or @t23 @t21)) % 15.25/15.73 (define @t25 () (forall @t14 @t24)) % 15.25/15.73 (define @t26 () (not @t21)) % 15.25/15.73 (define @t27 () (or @t26 @t22)) % 15.25/15.73 (define @t28 () (forall @t14 @t27)) % 15.25/15.73 (define @t29 () (tptp.ordered @t6 @t5)) % 15.25/15.73 (define @t30 () (tptp.ordered @t1 @t7)) % 15.25/15.73 (define @t31 () (tptp.implies tptp.y tptp.x)) % 15.25/15.73 (define @t32 () (tptp.implies tptp.x tptp.y)) % 15.25/15.73 (define @t33 () (tptp.big_V @t32 @t31)) % 15.25/15.73 (define @t34 () (tptp.implies tptp.truth tptp.x)) % 15.25/15.73 (define @t35 () (tptp.implies @t34 @t34)) % 15.25/15.73 (define @t36 () (@list tptp.truth tptp.x)) % 15.25/15.73 (define @t37 () (tptp.implies tptp.truth @t35)) % 15.25/15.73 (define @t38 () (tptp.implies @t34 tptp.x)) % 15.25/15.73 (define @t39 () (tptp.implies tptp.x tptp.truth)) % 15.25/15.73 (define @t40 () (tptp.implies tptp.truth tptp.truth)) % 15.25/15.73 (define @t41 () (tptp.implies @t39 @t40)) % 15.25/15.73 (define @t42 () (tptp.ordered tptp.x tptp.truth)) % 15.25/15.73 (define @t43 () (= tptp.truth @t39)) % 15.25/15.73 (define @t44 () (not @t43)) % 15.25/15.73 (define @t45 () (or @t44 @t42)) % 15.25/15.73 (define @t46 () (@list false false)) % 15.25/15.73 (define @t47 () (tptp.implies tptp.x tptp.x)) % 15.25/15.73 (define @t48 () (tptp.ordered @t47 @t34)) % 15.25/15.73 (define @t49 () (not @t42)) % 15.25/15.73 (define @t50 () (or @t49 @t48)) % 15.25/15.73 (define @t51 () (tptp.implies @t40 @t35)) % 15.25/15.73 (define @t52 () (tptp.ordered tptp.truth tptp.x)) % 15.25/15.73 (define @t53 () (= tptp.truth @t34)) % 15.25/15.73 (define @t54 () (not @t52)) % 15.25/15.73 (define @t55 () (or @t54 @t53)) % 15.25/15.73 (define @t56 () (tptp.implies tptp.truth tptp.y)) % 15.25/15.73 (define @t57 () (tptp.implies @t56 @t56)) % 15.25/15.73 (define @t58 () (tptp.big_V tptp.y tptp.truth)) % 15.25/15.73 (define @t59 () (tptp.implies tptp.y tptp.truth)) % 15.25/15.73 (define @t60 () (tptp.implies @t59 tptp.truth)) % 15.25/15.73 (define @t61 () (= @t60 @t58)) % 15.25/15.73 (define @t62 () (not @t61)) % 15.25/15.73 (define @t63 () (tptp.implies @t31 @t47)) % 15.25/15.73 (define @t64 () (tptp.implies @t32 @t63)) % 15.25/15.73 (define @t65 () (= tptp.truth @t64)) % 15.25/15.73 (define @t66 () (not @t65)) % 15.25/15.73 (define @t67 () (tptp.implies tptp.truth @t57)) % 15.25/15.73 (define @t68 () (= @t57 @t67)) % 15.25/15.73 (define @t69 () (not @t68)) % 15.25/15.73 (define @t70 () (= tptp.truth (tptp.implies @t40 @t57))) % 15.25/15.73 (define @t71 () (not @t70)) % 15.25/15.73 (define @t72 () (= @t35 @t37)) % 15.25/15.73 (define @t73 () (not @t72)) % 15.25/15.73 (define @t74 () (not @t53)) % 15.25/15.73 (define @t75 () (tptp.implies @t56 tptp.y)) % 15.25/15.73 (define @t76 () (= @t75 @t60)) % 15.25/15.73 (define @t77 () (not @t76)) % 15.25/15.73 (define @t78 () (= tptp.truth @t51)) % 15.25/15.73 (define @t79 () (not @t78)) % 15.25/15.73 (define @t80 () (= tptp.y @t56)) % 15.25/15.73 (define @t81 () (not @t80)) % 15.25/15.73 (define @t82 () (= tptp.x @t34)) % 15.25/15.73 (define @t83 () (not @t82)) % 15.25/15.73 (define @t84 () (= tptp.truth @t40)) % 15.25/15.73 (define @t85 () (not @t84)) % 15.25/15.73 (define @t86 () (= tptp.truth @t33)) % 15.25/15.73 (define @t87 () (not @t86)) % 15.25/15.73 (define @t88 () (and @t62 @t61)) % 15.25/15.73 (assume @p1 @t3) % 15.25/15.73 (assume @p2 @t11) % 15.25/15.73 (assume @p3 (forall @t14 (= @t13 (tptp.implies @t12 @t1)))) % 15.25/15.73 (assume @p4 (forall @t14 (= (tptp.implies (tptp.implies @t16 @t15) @t12) tptp.truth))) % 15.25/15.73 (assume @p5 @t18) % 15.25/15.73 (assume @p6 (forall @t14 (= @t20 (tptp.not @t19)))) % 15.25/15.73 (assume @p7 @t25) % 15.25/15.73 (assume @p8 @t28) % 15.25/15.73 (assume @p9 (forall @t10 (or @t23 (tptp.ordered @t5 @t7)))) % 15.25/15.73 (assume @p10 (forall @t10 (or @t23 (tptp.ordered (tptp.implies @t4 @t1) (tptp.implies @t4 @t6))))) % 15.25/15.73 (assume @p11 (forall @t10 (or (not @t30) @t29))) % 15.25/15.73 (assume @p12 (forall (@list @t6 @t1 @t4) (or (not @t29) @t30))) % 15.25/15.73 (assume @p13 (forall @t14 (= (tptp.not @t17) (tptp.big_hat @t16 @t15)))) % 15.25/15.73 (assume @p14 (forall @t14 (= (tptp.not @t20) @t19))) % 15.25/15.73 (assume @p15 (forall @t10 (= (tptp.implies @t17 @t4) (tptp.big_hat @t5 @t7)))) % 15.25/15.73 (assume @p16 (forall @t10 (= (tptp.implies @t1 (tptp.big_hat @t6 @t4)) (tptp.big_hat @t8 @t5)))) % 15.25/15.73 (assume @p17 (not (= @t33 tptp.truth))) % 15.25/15.73 (step @p18 :rule symm :premises (@p17)) % 15.25/15.73 (step @p19 :rule eq-symm :args (@t2 @t1)) % 15.25/15.73 (step @p20 :rule cong :premises (@p19) :args (@t3)) % 15.25/15.73 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 15.25/15.73 (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.truth))) % 15.25/15.73 (step @p23 :rule instantiate :premises (@p21) :args ((@list tptp.x))) % 15.25/15.73 (step @p24 :rule instantiate :premises (@p21) :args ((@list tptp.y))) % 15.25/15.73 (step @p25 :rule eq-symm :args (@t9 tptp.truth)) % 15.25/15.73 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 15.25/15.73 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 15.25/15.73 (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.truth tptp.truth tptp.x))) % 15.25/15.73 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.truth tptp.y))) % 15.25/15.73 (step @p30 :rule instantiate :premises (@p21) :args ((@list @t35))) % 15.25/15.73 (step @p31 :rule instantiate :premises (@p27) :args ((@list tptp.truth tptp.truth tptp.y))) % 15.25/15.73 (step @p32 :rule eq-symm :args (@t8 tptp.truth)) % 15.25/15.73 (step @p33 :rule refl :args (@t23)) % 15.25/15.73 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t24)) % 15.25/15.73 (step @p35 :rule cong :premises (@p34) :args (@t25)) % 15.25/15.73 (step @p36 :rule eq_resolve :premises (@p7 @p35)) % 15.25/15.73 (step @p37 :rule instantiate :premises (@p36) :args (@t36)) % 15.25/15.73 (step @p38 :rule instantiate :premises (@p9) :args ((@list tptp.x tptp.truth tptp.x))) % 15.25/15.73 (step @p39 :rule refl :args (@t22)) % 15.25/15.73 (step @p40 :rule cong :premises (@p32) :args (@t26)) % 15.25/15.73 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t27)) % 15.25/15.73 (step @p42 :rule cong :premises (@p41) :args (@t28)) % 15.25/15.73 (step @p43 :rule eq_resolve :premises (@p8 @p42)) % 15.25/15.73 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.x tptp.truth))) % 15.25/15.73 (step @p45 :rule symm :premises (@p28)) % 15.25/15.73 (step @p46 :rule refl :args (@t35)) % 15.25/15.73 (step @p47 :rule cong :premises (@p22 @p46) :args (@t37)) % 15.25/15.73 (step @p48 :rule refl :args (@t34)) % 15.25/15.73 (step @p49 :rule cong :premises (@p48 @p23) :args (@t38)) % 15.25/15.73 (step @p50 :rule instantiate :premises (@p3) :args (@t36)) % 15.25/15.73 (step @p51 :rule symm :premises (@p50)) % 15.25/15.73 (step @p52 :rule symm :premises (@p22)) % 15.25/15.73 (step @p53 :rule refl :args (@t39)) % 15.25/15.73 (step @p54 :rule cong :premises (@p53 @p52) :args (@t41)) % 15.25/15.73 (step @p55 :rule trans :premises (@p54 @p51 @p49 @p30 @p47 @p45)) % 15.25/15.73 (step @p56 :rule symm :premises (@p23)) % 15.25/15.73 (step @p57 :rule cong :premises (@p56 @p55) :args ((tptp.implies @t34 @t41))) % 15.25/15.73 (step @p58 :rule instantiate :premises (@p27) :args ((@list tptp.truth tptp.x tptp.truth))) % 15.25/15.73 (step @p59 :rule trans :premises (@p58 @p57)) % 15.25/15.73 (step @p60 :rule cnf_or_pos :args (@t45)) % 15.25/15.73 (step @p61 :rule reordering :premises (@p60) :args ((or @t42 @t44 (not @t45)))) % 15.25/15.73 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p44) :args (@t42 @t46 (@list @t43 @t45))) % 15.25/15.73 (step @p63 :rule cnf_or_pos :args (@t50)) % 15.25/15.73 (step @p64 :rule reordering :premises (@p63) :args ((or @t49 @t48 (not @t50)))) % 15.25/15.73 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p38) :args (@t48 @t46 (@list @t42 @t50))) % 15.25/15.73 (step @p66 :rule true_intro :premises (@p65)) % 15.25/15.73 (step @p67 :rule refl :args (tptp.x)) % 15.25/15.73 (step @p68 :rule cong :premises (@p56 @p67) :args (@t38)) % 15.25/15.73 (step @p69 :rule cong :premises (@p48 @p56) :args (@t35)) % 15.25/15.73 (step @p70 :rule symm :premises (@p30)) % 15.25/15.73 (step @p71 :rule cong :premises (@p52 @p46) :args (@t51)) % 15.25/15.73 (step @p72 :rule trans :premises (@p28 @p71 @p70 @p69 @p68)) % 15.25/15.73 (step @p73 :rule cong :premises (@p72 @p23) :args (@t52)) % 15.25/15.73 (step @p74 :rule trans :premises (@p73 @p66)) % 15.25/15.73 (step @p75 :rule true_elim :premises (@p74)) % 15.25/15.73 (step @p76 :rule cnf_or_pos :args (@t55)) % 15.25/15.73 (step @p77 :rule reordering :premises (@p76) :args ((or @t54 @t53 (not @t55)))) % 15.25/15.73 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p37) :args (@t53 @t46 (@list @t52 @t55))) % 15.25/15.73 (step @p79 :rule instantiate :premises (@p21) :args ((@list @t57))) % 15.25/15.73 (step @p80 :rule instantiate :premises (@p27) :args ((@list tptp.x tptp.y tptp.x))) % 15.25/15.73 (step @p81 :rule eq-symm :args (@t17 @t13)) % 15.25/15.73 (step @p82 :rule cong :premises (@p81) :args (@t18)) % 15.25/15.73 (step @p83 :rule eq_resolve :premises (@p5 @p82)) % 15.25/15.73 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.y tptp.truth))) % 15.25/15.73 (step @p85 :rule refl :args (@t62)) % 15.25/15.73 (step @p86 :rule refl :args (@t66)) % 15.25/15.73 (step @p87 :rule refl :args (@t69)) % 15.25/15.73 (step @p88 :rule refl :args (@t71)) % 15.25/15.73 (step @p89 :rule refl :args (@t73)) % 15.25/15.73 (step @p90 :rule refl :args (@t74)) % 15.25/15.73 (step @p91 :rule refl :args (@t77)) % 15.25/15.73 (step @p92 :rule refl :args (@t79)) % 15.25/15.73 (step @p93 :rule refl :args (@t81)) % 15.25/15.73 (step @p94 :rule refl :args (@t83)) % 15.25/15.73 (step @p95 :rule refl :args (@t85)) % 15.25/15.73 (step @p96 :rule bool-double-not-elim :args (@t86)) % 15.25/15.73 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85) :args ((or (not @t87) @t85 @t83 @t81 @t79 @t77 @t74 @t73 @t71 @t69 @t66 @t62))) % 15.25/15.73 (assume-push @p168 @t62) % 15.25/15.73 (assume-push @p169 @t61) % 15.25/15.73 (step @p100 :rule evaluate :args ((= false true))) % 15.25/15.73 (step @p101 :rule true_intro :premises (@p84)) % 15.25/15.73 (step @p102 :rule false_intro :premises (@p18)) % 15.25/15.73 (step @p103 :rule trans :premises (@p78 @p56)) % 15.25/15.73 (step @p104 :rule refl :args (tptp.y)) % 15.25/15.73 (step @p105 :rule cong :premises (@p104 @p103) :args (@t59)) % 15.25/15.73 (step @p106 :rule symm :premises (@p31)) % 15.25/15.73 (step @p107 :rule refl :args (@t57)) % 15.25/15.73 (step @p108 :rule cong :premises (@p22 @p107) :args (@t67)) % 15.25/15.73 (step @p109 :rule refl :args (@t56)) % 15.25/15.73 (step @p110 :rule cong :premises (@p109 @p24) :args (@t75)) % 15.25/15.73 (step @p111 :rule symm :premises (@p29)) % 15.25/15.73 (step @p112 :rule cong :premises (@p23 @p67) :args (@t47)) % 15.25/15.73 (step @p113 :rule trans :premises (@p112 @p49 @p30 @p47 @p45)) % 15.25/15.73 (step @p114 :rule symm :premises (@p105)) % 15.25/15.73 (step @p115 :rule cong :premises (@p114 @p113) :args (@t63)) % 15.25/15.73 (step @p116 :rule trans :premises (@p115 @p111 @p110 @p79 @p108 @p106)) % 15.25/15.73 (step @p117 :rule symm :premises (@p24)) % 15.25/15.73 (step @p118 :rule symm :premises (@p103)) % 15.25/15.73 (step @p119 :rule cong :premises (@p118 @p104) :args (@t32)) % 15.25/15.73 (step @p120 :rule trans :premises (@p119 @p117)) % 15.25/15.73 (step @p121 :rule cong :premises (@p120 @p116) :args (@t64)) % 15.25/15.73 (step @p122 :rule trans :premises (@p80 @p121 @p105)) % 15.25/15.73 (step @p123 :rule symm :premises (@p120)) % 15.25/15.73 (step @p124 :rule cong :premises (@p123 @p122) :args (@t58)) % 15.25/15.73 (step @p125 :rule trans :premises (@p111 @p110 @p79 @p108 @p106)) % 15.25/15.73 (step @p126 :rule cong :premises (@p125 @p124) :args (@t61)) % 15.25/15.73 (step @p127 :rule trans :premises (@p126 @p102)) % 15.25/15.73 (step @p128 :rule symm :premises (@p127)) % 15.25/15.73 (step @p129 :rule trans :premises (@p128 @p101)) % 15.25/15.73 (step @p130 false :rule eq_resolve :premises (@p129 @p100)) % 15.25/15.73 (step-pop @p170 :rule scope :premises (@p130)) % 15.25/15.73 (step-pop @p171 :rule scope :premises (@p170)) % 15.25/15.73 (step @p131 :rule process_scope :premises (@p171) :args (false)) % 15.25/15.73 (assume-push @p172 @t87) % 15.25/15.73 (assume-push @p173 @t84) % 15.25/15.73 (assume-push @p174 @t82) % 15.25/15.73 (assume-push @p175 @t80) % 15.25/15.73 (assume-push @p176 @t78) % 15.25/15.73 (assume-push @p177 @t76) % 15.25/15.73 (assume-push @p178 @t53) % 15.25/15.73 (assume-push @p179 @t72) % 15.25/15.73 (assume-push @p180 @t70) % 15.25/15.73 (assume-push @p181 @t68) % 15.25/15.73 (assume-push @p182 @t65) % 15.25/15.73 (assume-push @p183 @t61) % 15.25/15.73 (step @p102 :rule false_intro :premises (@p18)) % 15.25/15.73 (step @p103 :rule trans :premises (@p78 @p56)) % 15.25/15.73 (step @p104 :rule refl :args (tptp.y)) % 15.25/15.73 (step @p105 :rule cong :premises (@p104 @p103) :args (@t59)) % 15.25/15.73 (step @p106 :rule symm :premises (@p31)) % 15.25/15.73 (step @p107 :rule refl :args (@t57)) % 15.25/15.73 (step @p108 :rule cong :premises (@p22 @p107) :args (@t67)) % 15.25/15.73 (step @p109 :rule refl :args (@t56)) % 15.25/15.73 (step @p110 :rule cong :premises (@p109 @p24) :args (@t75)) % 15.25/15.73 (step @p111 :rule symm :premises (@p29)) % 15.25/15.73 (step @p112 :rule cong :premises (@p23 @p67) :args (@t47)) % 15.25/15.73 (step @p113 :rule trans :premises (@p112 @p49 @p30 @p47 @p45)) % 15.25/15.73 (step @p114 :rule symm :premises (@p105)) % 15.25/15.73 (step @p115 :rule cong :premises (@p114 @p113) :args (@t63)) % 15.25/15.73 (step @p116 :rule trans :premises (@p115 @p111 @p110 @p79 @p108 @p106)) % 15.25/15.73 (step @p117 :rule symm :premises (@p24)) % 15.25/15.73 (step @p118 :rule symm :premises (@p103)) % 15.25/15.73 (step @p119 :rule cong :premises (@p118 @p104) :args (@t32)) % 15.25/15.73 (step @p120 :rule trans :premises (@p119 @p117)) % 15.25/15.73 (step @p121 :rule cong :premises (@p120 @p116) :args (@t64)) % 15.25/15.73 (step @p122 :rule trans :premises (@p80 @p121 @p105)) % 15.25/15.73 (step @p123 :rule symm :premises (@p120)) % 15.25/15.73 (step @p124 :rule cong :premises (@p123 @p122) :args (@t58)) % 15.25/15.73 (step @p125 :rule trans :premises (@p111 @p110 @p79 @p108 @p106)) % 15.25/15.73 (step @p126 :rule cong :premises (@p125 @p124) :args (@t61)) % 15.25/15.73 (step @p146 :rule trans :premises (@p126 @p102)) % 15.25/15.73 (step @p147 :rule false_elim :premises (@p146)) % 15.25/15.73 (step @p148 :rule and_intro :premises (@p147 @p84)) % 15.25/15.73 (step-pop @p184 :rule scope :premises (@p148)) % 15.25/15.73 (step-pop @p185 :rule scope :premises (@p184)) % 15.25/15.73 (step-pop @p186 :rule scope :premises (@p185)) % 15.25/15.73 (step-pop @p187 :rule scope :premises (@p186)) % 15.25/15.73 (step-pop @p188 :rule scope :premises (@p187)) % 15.25/15.73 (step-pop @p189 :rule scope :premises (@p188)) % 15.25/15.73 (step-pop @p190 :rule scope :premises (@p189)) % 15.25/15.73 (step-pop @p191 :rule scope :premises (@p190)) % 15.25/15.73 (step-pop @p192 :rule scope :premises (@p191)) % 15.25/15.73 (step-pop @p193 :rule scope :premises (@p192)) % 15.25/15.73 (step-pop @p194 :rule scope :premises (@p193)) % 15.25/15.73 (step-pop @p195 :rule scope :premises (@p194)) % 15.25/15.73 (step @p149 :rule process_scope :premises (@p195) :args (@t88)) % 15.25/15.73 (step @p162 :rule implies_elim :premises (@p149)) % 15.25/15.73 (step @p163 :rule resolution :premises (@p162 @p131) :args (true @t88)) % 15.25/15.73 (step @p164 :rule not_and :premises (@p163)) % 15.25/15.73 (step @p165 :rule eq_resolve :premises (@p164 @p97)) % 15.25/15.73 (step @p166 :rule reordering :premises (@p165) :args ((or @t86 @t85 @t83 @t74 @t81 @t79 @t77 @t73 @t71 @t69 @t66 @t62))) % 15.25/15.73 (step @p167 false :rule chain_m_resolution :premises (@p166 @p84 @p80 @p79 @p78 @p31 @p30 @p29 @p28 @p24 @p23 @p22 @p18) :args (false (@list false false false false false false false false false false false true) (@list @t61 @t65 @t68 @t53 @t70 @t72 @t76 @t78 @t80 @t82 @t84 @t86))) % 15.25/15.73 ) % 15.25/15.73 % SZS output end Proof % 15.25/15.73 % cvc5 exiting %------------------------------------------------------------------------------