%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ056-1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:44:05 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ056-1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:13:34 EDT 2026 % 0.15/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.73 % SZS status Unsatisfiable % 0.52/0.73 % SZS output start Proof % 0.52/0.74 ( % 0.52/0.74 (declare-sort $$unsorted 0) % 0.52/0.74 (declare-const tptp.state (-> $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.fits (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.small $$unsorted) % 0.52/0.74 (declare-const tptp.medium $$unsorted) % 0.52/0.74 (declare-const tptp.on (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.large $$unsorted) % 0.52/0.74 (declare-const tptp.n1 $$unsorted) % 0.52/0.74 (declare-const tptp.nextto (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.n2 $$unsorted) % 0.52/0.74 (declare-const tptp.pin (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.n3 $$unsorted) % 0.52/0.74 (define @t1 () (tptp.pin tptp.n3)) % 0.52/0.74 (define @t2 () (tptp.pin tptp.n2)) % 0.52/0.74 (define @t3 () (tptp.nextto @t2 @t1)) % 0.52/0.74 (define @t4 () (tptp.pin tptp.n1)) % 0.52/0.74 (define @t5 () (tptp.on tptp.large @t4)) % 0.52/0.74 (define @t6 () (tptp.on tptp.medium @t5)) % 0.52/0.74 (define @t7 () (tptp.on tptp.small @t6)) % 0.52/0.74 (define @t8 () (tptp.nextto @t7 @t3)) % 0.52/0.74 (define @t9 () (tptp.state @t8)) % 0.52/0.74 (define @t10 () (tptp.on tptp.large @t1)) % 0.52/0.74 (define @t11 () (tptp.on tptp.medium @t10)) % 0.52/0.74 (define @t12 () (tptp.nextto @t2 (tptp.on tptp.small @t11))) % 0.52/0.74 (define @t13 () (@var "X" $$unsorted)) % 0.52/0.74 (define @t14 () (@var "Y" $$unsorted)) % 0.52/0.74 (define @t15 () (tptp.nextto @t13 @t14)) % 0.52/0.74 (define @t16 () (forall (@list @t13 @t14) (= @t15 (tptp.nextto @t14 @t13)))) % 0.52/0.74 (define @t17 () (@var "Z" $$unsorted)) % 0.52/0.74 (define @t18 () (@var "A" $$unsorted)) % 0.52/0.74 (define @t19 () (@var "B" $$unsorted)) % 0.52/0.74 (define @t20 () (forall (@list @t13 @t18 @t19) (or (= (tptp.nextto (tptp.on @t13 @t18) @t19) (tptp.nextto @t18 (tptp.on @t13 @t19))) (not (tptp.fits @t13 @t19)) (not (tptp.fits @t13 @t18))))) % 0.52/0.74 (define @t21 () (@var "N" $$unsorted)) % 0.52/0.74 (define @t22 () (tptp.pin @t21)) % 0.52/0.74 (define @t23 () (@list @t21)) % 0.52/0.74 (define @t24 () (@list @t18)) % 0.52/0.74 (define @t25 () (tptp.on tptp.large @t18)) % 0.52/0.74 (define @t26 () (tptp.fits tptp.small @t2)) % 0.52/0.74 (define @t27 () (not @t26)) % 0.52/0.74 (define @t28 () (tptp.fits tptp.small @t11)) % 0.52/0.74 (define @t29 () (not @t28)) % 0.52/0.74 (define @t30 () (tptp.on tptp.small @t2)) % 0.52/0.74 (define @t31 () (tptp.nextto @t30 @t11)) % 0.52/0.74 (define @t32 () (or (= @t31 @t12) @t29 @t27)) % 0.52/0.74 (define @t33 () (= @t12 @t31)) % 0.52/0.74 (define @t34 () (or @t33 @t29 @t27)) % 0.52/0.74 (define @t35 () (@list false)) % 0.52/0.74 (define @t36 () (@list @t20)) % 0.52/0.74 (define @t37 () (@list tptp.n2)) % 0.52/0.74 (define @t38 () (@list false false false)) % 0.52/0.74 (define @t39 () (tptp.fits tptp.small @t4)) % 0.52/0.74 (define @t40 () (not @t39)) % 0.52/0.74 (define @t41 () (tptp.on tptp.small @t4)) % 0.52/0.74 (define @t42 () (tptp.nextto @t41 @t2)) % 0.52/0.74 (define @t43 () (tptp.nextto @t4 @t30)) % 0.52/0.74 (define @t44 () (or (= @t42 @t43) @t27 @t40)) % 0.52/0.74 (define @t45 () (= @t43 @t42)) % 0.52/0.74 (define @t46 () (or @t45 @t27 @t40)) % 0.52/0.74 (define @t47 () (@list tptp.n1)) % 0.52/0.74 (define @t48 () (tptp.fits tptp.medium @t2)) % 0.52/0.74 (define @t49 () (not @t48)) % 0.52/0.74 (define @t50 () (tptp.fits tptp.medium @t10)) % 0.52/0.74 (define @t51 () (not @t50)) % 0.52/0.74 (define @t52 () (tptp.on tptp.medium @t2)) % 0.52/0.74 (define @t53 () (tptp.nextto @t52 @t10)) % 0.52/0.74 (define @t54 () (tptp.nextto @t2 @t11)) % 0.52/0.74 (define @t55 () (or (= @t53 @t54) @t51 @t49)) % 0.52/0.74 (define @t56 () (= @t54 @t53)) % 0.52/0.74 (define @t57 () (or @t56 @t51 @t49)) % 0.52/0.74 (define @t58 () (tptp.nextto @t41 @t52)) % 0.52/0.74 (define @t59 () (tptp.fits tptp.small @t52)) % 0.52/0.74 (define @t60 () (not @t59)) % 0.52/0.74 (define @t61 () (tptp.on tptp.small @t52)) % 0.52/0.74 (define @t62 () (tptp.nextto @t4 @t61)) % 0.52/0.74 (define @t63 () (= @t58 @t62)) % 0.52/0.74 (define @t64 () (or @t63 @t60 @t40)) % 0.52/0.74 (define @t65 () (tptp.nextto @t10 @t4)) % 0.52/0.74 (define @t66 () (@list tptp.n3)) % 0.52/0.74 (define @t67 () (tptp.fits tptp.large @t1)) % 0.52/0.74 (define @t68 () (not @t67)) % 0.52/0.74 (define @t69 () (tptp.fits tptp.large @t4)) % 0.52/0.74 (define @t70 () (not @t69)) % 0.52/0.74 (define @t71 () (tptp.nextto @t1 @t5)) % 0.52/0.74 (define @t72 () (= @t65 @t71)) % 0.52/0.74 (define @t73 () (or @t72 @t70 @t68)) % 0.52/0.74 (define @t74 () (tptp.fits tptp.small @t1)) % 0.52/0.74 (define @t75 () (not @t74)) % 0.52/0.74 (define @t76 () (tptp.nextto @t61 @t1)) % 0.52/0.74 (define @t77 () (tptp.on tptp.small @t1)) % 0.52/0.74 (define @t78 () (tptp.nextto @t52 @t77)) % 0.52/0.74 (define @t79 () (or (= @t76 @t78) @t75 @t60)) % 0.52/0.74 (define @t80 () (= @t78 @t76)) % 0.52/0.74 (define @t81 () (or @t80 @t75 @t60)) % 0.52/0.74 (define @t82 () (tptp.nextto @t77 @t52)) % 0.52/0.74 (define @t83 () (= @t82 @t78)) % 0.52/0.74 (define @t84 () (@list @t16)) % 0.52/0.74 (define @t85 () (tptp.nextto @t78 @t5)) % 0.52/0.74 (define @t86 () (tptp.nextto @t5 @t78)) % 0.52/0.74 (define @t87 () (= @t85 @t86)) % 0.52/0.74 (define @t88 () (tptp.fits tptp.medium @t5)) % 0.52/0.74 (define @t89 () (not @t88)) % 0.52/0.74 (define @t90 () (tptp.nextto @t6 @t2)) % 0.52/0.74 (define @t91 () (= @t90 (tptp.nextto @t5 @t52))) % 0.52/0.74 (define @t92 () (or @t91 @t49 @t89)) % 0.52/0.74 (define @t93 () (tptp.nextto @t2 @t6)) % 0.52/0.74 (define @t94 () (= @t93 @t90)) % 0.52/0.74 (define @t95 () (tptp.nextto @t90 @t77)) % 0.52/0.74 (define @t96 () (tptp.nextto @t77 @t90)) % 0.52/0.74 (define @t97 () (= @t95 @t96)) % 0.52/0.74 (define @t98 () (tptp.fits tptp.small @t6)) % 0.52/0.74 (define @t99 () (not @t98)) % 0.52/0.74 (define @t100 () (tptp.nextto @t77 @t6)) % 0.52/0.74 (define @t101 () (tptp.nextto @t1 @t7)) % 0.52/0.74 (define @t102 () (or (= @t100 @t101) @t99 @t75)) % 0.52/0.74 (define @t103 () (= @t101 @t100)) % 0.52/0.74 (define @t104 () (or @t103 @t99 @t75)) % 0.52/0.74 (define @t105 () (tptp.nextto @t7 @t1)) % 0.52/0.74 (define @t106 () (= @t101 @t105)) % 0.52/0.74 (define @t107 () (tptp.nextto @t1 @t2)) % 0.52/0.74 (define @t108 () (= @t107 @t3)) % 0.52/0.74 (assume @p1 @t9) % 0.52/0.74 (assume @p2 (not (tptp.state (tptp.nextto @t4 @t12)))) % 0.52/0.74 (assume @p3 @t16) % 0.52/0.74 (assume @p4 (forall (@list @t13 @t14 @t17) (= (tptp.nextto @t13 (tptp.nextto @t14 @t17)) (tptp.nextto @t15 @t17)))) % 0.52/0.74 (assume @p5 @t20) % 0.52/0.74 (assume @p6 (forall @t23 (tptp.fits tptp.small @t22))) % 0.52/0.74 (assume @p7 (forall @t23 (tptp.fits tptp.medium @t22))) % 0.52/0.74 (assume @p8 (forall @t23 (tptp.fits tptp.large @t22))) % 0.52/0.74 (assume @p9 (forall @t24 (tptp.fits tptp.small (tptp.on tptp.medium @t18)))) % 0.52/0.74 (assume @p10 (forall @t24 (tptp.fits tptp.medium @t25))) % 0.52/0.74 (assume @p11 (forall @t24 (tptp.fits tptp.small @t25))) % 0.52/0.74 (step @p12 :rule evaluate :args ((= true false))) % 0.52/0.74 (step @p13 :rule false_intro :premises (@p2)) % 0.52/0.74 (step @p14 :rule refl :args (@t27)) % 0.52/0.74 (step @p15 :rule refl :args (@t29)) % 0.52/0.74 (step @p16 :rule eq-symm :args (@t31 @t12)) % 0.52/0.74 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14) :args (@t32)) % 0.52/0.74 (step @p18 :rule refl :args (@t20)) % 0.52/0.74 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t20 @t32))) % 0.52/0.74 (assume-push @p216 @t20) % 0.52/0.74 (step @p21 :rule instantiate :premises (@p5) :args ((@list tptp.small @t2 @t11))) % 0.52/0.74 (step-pop @p217 :rule scope :premises (@p21)) % 0.52/0.74 (step @p22 :rule process_scope :premises (@p217) :args (@t32)) % 0.52/0.74 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.52/0.74 (step @p25 :rule implies_elim :premises (@p24)) % 0.52/0.74 (step @p26 :rule chain_m_resolution :premises (@p25 @p5) :args (@t34 @t35 @t36)) % 0.52/0.74 (step @p27 :rule instantiate :premises (@p6) :args (@t37)) % 0.52/0.74 (step @p28 :rule instantiate :premises (@p9) :args ((@list @t10))) % 0.52/0.74 (step @p29 :rule cnf_or_pos :args (@t34)) % 0.52/0.74 (step @p30 :rule reordering :premises (@p29) :args ((or @t29 @t27 @t33 (not @t34)))) % 0.52/0.74 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27 @p26) :args (@t33 @t38 (@list @t28 @t26 @t34))) % 0.52/0.74 (step @p32 :rule symm :premises (@p31)) % 0.52/0.74 (step @p33 :rule refl :args (@t4)) % 0.52/0.74 (step @p34 :rule cong :premises (@p33 @p32) :args ((tptp.nextto @t4 @t31))) % 0.52/0.74 (step @p35 :rule instantiate :premises (@p4) :args ((@list @t4 @t30 @t11))) % 0.52/0.74 (step @p36 :rule symm :premises (@p35)) % 0.52/0.74 (step @p37 :rule refl :args (@t11)) % 0.52/0.74 (step @p38 :rule refl :args (@t40)) % 0.52/0.74 (step @p39 :rule eq-symm :args (@t42 @t43)) % 0.52/0.74 (step @p40 :rule nary_cong :premises (@p39 @p14 @p38) :args (@t44)) % 0.52/0.74 (step @p41 :rule cong :premises (@p18 @p40) :args ((=> @t20 @t44))) % 0.52/0.74 (assume-push @p218 @t20) % 0.52/0.74 (step @p43 :rule instantiate :premises (@p5) :args ((@list tptp.small @t4 @t2))) % 0.52/0.74 (step-pop @p219 :rule scope :premises (@p43)) % 0.52/0.74 (step @p44 :rule process_scope :premises (@p219) :args (@t44)) % 0.52/0.74 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.52/0.74 (step @p47 :rule implies_elim :premises (@p46)) % 0.52/0.74 (step @p48 :rule chain_m_resolution :premises (@p47 @p5) :args (@t46 @t35 @t36)) % 0.52/0.74 (step @p49 :rule instantiate :premises (@p6) :args (@t47)) % 0.52/0.74 (step @p50 :rule cnf_or_pos :args (@t46)) % 0.52/0.74 (step @p51 :rule reordering :premises (@p50) :args ((or @t27 @t40 @t45 (not @t46)))) % 0.52/0.74 (step @p52 :rule chain_m_resolution :premises (@p51 @p27 @p49 @p48) :args (@t45 @t38 (@list @t26 @t39 @t46))) % 0.52/0.74 (step @p53 :rule symm :premises (@p52)) % 0.52/0.74 (step @p54 :rule cong :premises (@p53 @p37) :args ((tptp.nextto @t42 @t11))) % 0.52/0.74 (step @p55 :rule instantiate :premises (@p4) :args ((@list @t41 @t2 @t11))) % 0.52/0.74 (step @p56 :rule refl :args (@t49)) % 0.52/0.74 (step @p57 :rule refl :args (@t51)) % 0.52/0.74 (step @p58 :rule eq-symm :args (@t53 @t54)) % 0.52/0.74 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t55)) % 0.52/0.74 (step @p60 :rule cong :premises (@p18 @p59) :args ((=> @t20 @t55))) % 0.52/0.74 (assume-push @p220 @t20) % 0.52/0.74 (step @p62 :rule instantiate :premises (@p5) :args ((@list tptp.medium @t2 @t10))) % 0.52/0.74 (step-pop @p221 :rule scope :premises (@p62)) % 0.52/0.74 (step @p63 :rule process_scope :premises (@p221) :args (@t55)) % 0.52/0.74 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.52/0.74 (step @p66 :rule implies_elim :premises (@p65)) % 0.52/0.74 (step @p67 :rule chain_m_resolution :premises (@p66 @p5) :args (@t57 @t35 @t36)) % 0.52/0.74 (step @p68 :rule instantiate :premises (@p10) :args ((@list @t1))) % 0.52/0.74 (step @p69 :rule instantiate :premises (@p7) :args (@t37)) % 0.52/0.74 (step @p70 :rule cnf_or_pos :args (@t57)) % 0.52/0.74 (step @p71 :rule reordering :premises (@p70) :args ((or @t49 @t51 @t56 (not @t57)))) % 0.52/0.74 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p68 @p67) :args (@t56 @t38 (@list @t48 @t50 @t57))) % 0.52/0.74 (step @p73 :rule symm :premises (@p72)) % 0.52/0.74 (step @p74 :rule refl :args (@t41)) % 0.52/0.74 (step @p75 :rule cong :premises (@p74 @p73) :args ((tptp.nextto @t41 @t53))) % 0.52/0.74 (step @p76 :rule instantiate :premises (@p4) :args ((@list @t41 @t52 @t10))) % 0.52/0.74 (step @p77 :rule symm :premises (@p76)) % 0.52/0.74 (step @p78 :rule instantiate :premises (@p3) :args ((@list @t10 @t58))) % 0.52/0.74 (step @p79 :rule instantiate :premises (@p5) :args ((@list tptp.small @t4 @t52))) % 0.52/0.74 (step @p80 :rule instantiate :premises (@p9) :args ((@list @t2))) % 0.52/0.74 (step @p81 :rule cnf_or_pos :args (@t64)) % 0.52/0.74 (step @p82 :rule reordering :premises (@p81) :args ((or @t40 @t60 @t63 (not @t64)))) % 0.52/0.74 (step @p83 :rule chain_m_resolution :premises (@p82 @p49 @p80 @p79) :args (@t63 @t38 (@list @t39 @t59 @t64))) % 0.52/0.74 (step @p84 :rule symm :premises (@p83)) % 0.52/0.74 (step @p85 :rule refl :args (@t10)) % 0.52/0.74 (step @p86 :rule cong :premises (@p85 @p84) :args ((tptp.nextto @t10 @t62))) % 0.52/0.74 (step @p87 :rule instantiate :premises (@p4) :args ((@list @t10 @t4 @t61))) % 0.52/0.74 (step @p88 :rule symm :premises (@p87)) % 0.52/0.74 (step @p89 :rule instantiate :premises (@p3) :args ((@list @t61 @t65))) % 0.52/0.74 (step @p90 :rule instantiate :premises (@p5) :args ((@list tptp.large @t1 @t4))) % 0.52/0.74 (step @p91 :rule instantiate :premises (@p8) :args (@t66)) % 0.52/0.74 (step @p92 :rule instantiate :premises (@p8) :args (@t47)) % 0.52/0.74 (step @p93 :rule cnf_or_pos :args (@t73)) % 0.52/0.74 (step @p94 :rule reordering :premises (@p93) :args ((or @t70 @t68 @t72 (not @t73)))) % 0.52/0.74 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91 @p90) :args (@t72 @t38 (@list @t69 @t67 @t73))) % 0.52/0.74 (step @p96 :rule symm :premises (@p95)) % 0.52/0.74 (step @p97 :rule refl :args (@t61)) % 0.52/0.74 (step @p98 :rule cong :premises (@p97 @p96) :args ((tptp.nextto @t61 @t71))) % 0.52/0.74 (step @p99 :rule instantiate :premises (@p4) :args ((@list @t61 @t1 @t5))) % 0.52/0.74 (step @p100 :rule symm :premises (@p99)) % 0.52/0.74 (step @p101 :rule refl :args (@t5)) % 0.52/0.74 (step @p102 :rule refl :args (@t60)) % 0.52/0.74 (step @p103 :rule refl :args (@t75)) % 0.52/0.74 (step @p104 :rule eq-symm :args (@t76 @t78)) % 0.52/0.74 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t79)) % 0.52/0.74 (step @p106 :rule cong :premises (@p18 @p105) :args ((=> @t20 @t79))) % 0.52/0.74 (assume-push @p222 @t20) % 0.52/0.74 (step @p108 :rule instantiate :premises (@p5) :args ((@list tptp.small @t52 @t1))) % 0.52/0.74 (step-pop @p223 :rule scope :premises (@p108)) % 0.52/0.74 (step @p109 :rule process_scope :premises (@p223) :args (@t79)) % 0.52/0.74 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.52/0.74 (step @p112 :rule implies_elim :premises (@p111)) % 0.52/0.74 (step @p113 :rule chain_m_resolution :premises (@p112 @p5) :args (@t81 @t35 @t36)) % 0.52/0.74 (step @p114 :rule instantiate :premises (@p6) :args (@t66)) % 0.52/0.74 (step @p115 :rule cnf_or_pos :args (@t81)) % 0.52/0.74 (step @p116 :rule reordering :premises (@p115) :args ((or @t75 @t60 @t80 (not @t81)))) % 0.52/0.74 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p80 @p113) :args (@t80 @t38 (@list @t74 @t59 @t81))) % 0.52/0.74 (step @p118 :rule instantiate :premises (@p3) :args ((@list @t77 @t52))) % 0.52/0.74 (step @p119 :rule trans :premises (@p118 @p117)) % 0.52/0.74 (step @p120 :rule cong :premises (@p119 @p101) :args ((tptp.nextto @t82 @t5))) % 0.52/0.74 (step @p121 :rule eq-symm :args (@t82 @t78)) % 0.52/0.74 (step @p122 :rule refl :args (@t16)) % 0.52/0.74 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t16 @t83))) % 0.52/0.74 (assume-push @p224 @t16) % 0.52/0.74 (step-pop @p225 :rule scope :premises (@p118)) % 0.52/0.74 (step @p125 :rule process_scope :premises (@p225) :args (@t83)) % 0.52/0.74 (step @p127 :rule eq_resolve :premises (@p125 @p123)) % 0.52/0.74 (step @p128 :rule implies_elim :premises (@p127)) % 0.52/0.74 (step @p129 :rule chain_m_resolution :premises (@p128 @p3) :args ((= @t78 @t82) @t35 @t84)) % 0.52/0.74 (step @p130 :rule cong :premises (@p129 @p101) :args (@t85)) % 0.52/0.74 (step @p131 :rule eq-symm :args (@t85 @t86)) % 0.52/0.74 (step @p132 :rule cong :premises (@p122 @p131) :args ((=> @t16 @t87))) % 0.52/0.74 (assume-push @p226 @t16) % 0.52/0.74 (step @p134 :rule instantiate :premises (@p3) :args ((@list @t78 @t5))) % 0.52/0.74 (step-pop @p227 :rule scope :premises (@p134)) % 0.52/0.74 (step @p135 :rule process_scope :premises (@p227) :args (@t87)) % 0.52/0.74 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.52/0.74 (step @p138 :rule implies_elim :premises (@p137)) % 0.52/0.74 (step @p139 :rule chain_m_resolution :premises (@p138 @p3) :args ((= @t86 @t85) @t35 @t84)) % 0.52/0.74 (step @p140 :rule instantiate :premises (@p4) :args ((@list @t5 @t52 @t77))) % 0.52/0.74 (step @p141 :rule symm :premises (@p140)) % 0.52/0.74 (step @p142 :rule refl :args (@t77)) % 0.52/0.74 (step @p143 :rule instantiate :premises (@p5) :args ((@list tptp.medium @t5 @t2))) % 0.52/0.74 (step @p144 :rule instantiate :premises (@p10) :args ((@list @t4))) % 0.52/0.74 (step @p145 :rule cnf_or_pos :args (@t92)) % 0.52/0.74 (step @p146 :rule reordering :premises (@p145) :args ((or @t49 @t89 @t91 (not @t92)))) % 0.52/0.74 (step @p147 :rule chain_m_resolution :premises (@p146 @p69 @p144 @p143) :args (@t91 @t38 (@list @t48 @t88 @t92))) % 0.52/0.74 (step @p148 :rule instantiate :premises (@p3) :args ((@list @t2 @t6))) % 0.52/0.74 (step @p149 :rule trans :premises (@p148 @p147)) % 0.52/0.74 (step @p150 :rule cong :premises (@p149 @p142) :args ((tptp.nextto @t93 @t77))) % 0.52/0.74 (step @p151 :rule eq-symm :args (@t93 @t90)) % 0.52/0.74 (step @p152 :rule cong :premises (@p122 @p151) :args ((=> @t16 @t94))) % 0.52/0.74 (assume-push @p228 @t16) % 0.52/0.74 (step-pop @p229 :rule scope :premises (@p148)) % 0.52/0.74 (step @p154 :rule process_scope :premises (@p229) :args (@t94)) % 0.52/0.74 (step @p156 :rule eq_resolve :premises (@p154 @p152)) % 0.52/0.74 (step @p157 :rule implies_elim :premises (@p156)) % 0.52/0.74 (step @p158 :rule chain_m_resolution :premises (@p157 @p3) :args ((= @t90 @t93) @t35 @t84)) % 0.52/0.74 (step @p159 :rule cong :premises (@p158 @p142) :args (@t95)) % 0.52/0.74 (step @p160 :rule eq-symm :args (@t95 @t96)) % 0.52/0.74 (step @p161 :rule cong :premises (@p122 @p160) :args ((=> @t16 @t97))) % 0.52/0.74 (assume-push @p230 @t16) % 0.52/0.74 (step @p163 :rule instantiate :premises (@p3) :args ((@list @t90 @t77))) % 0.52/0.74 (step-pop @p231 :rule scope :premises (@p163)) % 0.52/0.74 (step @p164 :rule process_scope :premises (@p231) :args (@t97)) % 0.52/0.74 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 0.52/0.74 (step @p167 :rule implies_elim :premises (@p166)) % 0.52/0.74 (step @p168 :rule chain_m_resolution :premises (@p167 @p3) :args ((= @t96 @t95) @t35 @t84)) % 0.52/0.74 (step @p169 :rule instantiate :premises (@p4) :args ((@list @t77 @t6 @t2))) % 0.52/0.74 (step @p170 :rule symm :premises (@p169)) % 0.52/0.74 (step @p171 :rule refl :args (@t2)) % 0.52/0.74 (step @p172 :rule refl :args (@t99)) % 0.52/0.74 (step @p173 :rule eq-symm :args (@t100 @t101)) % 0.52/0.74 (step @p174 :rule nary_cong :premises (@p173 @p172 @p103) :args (@t102)) % 0.52/0.74 (step @p175 :rule cong :premises (@p18 @p174) :args ((=> @t20 @t102))) % 0.52/0.74 (assume-push @p232 @t20) % 0.52/0.74 (step @p177 :rule instantiate :premises (@p5) :args ((@list tptp.small @t1 @t6))) % 0.52/0.74 (step-pop @p233 :rule scope :premises (@p177)) % 0.52/0.74 (step @p178 :rule process_scope :premises (@p233) :args (@t102)) % 0.52/0.74 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 0.52/0.74 (step @p181 :rule implies_elim :premises (@p180)) % 0.52/0.74 (step @p182 :rule chain_m_resolution :premises (@p181 @p5) :args (@t104 @t35 @t36)) % 0.52/0.74 (step @p183 :rule instantiate :premises (@p9) :args ((@list @t5))) % 0.52/0.74 (step @p184 :rule cnf_or_pos :args (@t104)) % 0.52/0.74 (step @p185 :rule reordering :premises (@p184) :args ((or @t99 @t75 @t103 (not @t104)))) % 0.52/0.74 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p114 @p182) :args (@t103 @t38 (@list @t98 @t74 @t104))) % 0.52/0.74 (step @p187 :rule cong :premises (@p186 @p171) :args ((tptp.nextto @t101 @t2))) % 0.52/0.74 (step @p188 :rule eq-symm :args (@t101 @t105)) % 0.52/0.74 (step @p189 :rule cong :premises (@p122 @p188) :args ((=> @t16 @t106))) % 0.52/0.74 (assume-push @p234 @t16) % 0.52/0.74 (step @p191 :rule instantiate :premises (@p3) :args ((@list @t1 @t7))) % 0.52/0.74 (step-pop @p235 :rule scope :premises (@p191)) % 0.52/0.74 (step @p192 :rule process_scope :premises (@p235) :args (@t106)) % 0.52/0.74 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.52/0.74 (step @p195 :rule implies_elim :premises (@p194)) % 0.52/0.74 (step @p196 :rule chain_m_resolution :premises (@p195 @p3) :args ((= @t105 @t101) @t35 @t84)) % 0.52/0.74 (step @p197 :rule cong :premises (@p196 @p171) :args ((tptp.nextto @t105 @t2))) % 0.52/0.74 (step @p198 :rule instantiate :premises (@p4) :args ((@list @t7 @t1 @t2))) % 0.52/0.74 (step @p199 :rule eq-symm :args (@t107 @t3)) % 0.52/0.74 (step @p200 :rule cong :premises (@p122 @p199) :args ((=> @t16 @t108))) % 0.52/0.74 (assume-push @p236 @t16) % 0.52/0.74 (step @p202 :rule instantiate :premises (@p3) :args ((@list @t1 @t2))) % 0.52/0.74 (step-pop @p237 :rule scope :premises (@p202)) % 0.52/0.74 (step @p203 :rule process_scope :premises (@p237) :args (@t108)) % 0.52/0.74 (step @p205 :rule eq_resolve :premises (@p203 @p200)) % 0.52/0.74 (step @p206 :rule implies_elim :premises (@p205)) % 0.52/0.74 (step @p207 :rule chain_m_resolution :premises (@p206 @p3) :args ((= @t3 @t107) @t35 @t84)) % 0.52/0.74 (step @p208 :rule refl :args (@t7)) % 0.52/0.74 (step @p209 :rule cong :premises (@p208 @p207) :args (@t8)) % 0.52/0.74 (step @p210 :rule trans :premises (@p209 @p198 @p197 @p187 @p170 @p168 @p159 @p150 @p141 @p139 @p130 @p120 @p100 @p98 @p89 @p88 @p86 @p78 @p77 @p75 @p55 @p54 @p36 @p34)) % 0.52/0.74 (step @p211 :rule cong :premises (@p210) :args (@t9)) % 0.52/0.74 (step @p212 :rule true_intro :premises (@p1)) % 0.52/0.74 (step @p213 :rule symm :premises (@p212)) % 0.52/0.74 (step @p214 :rule trans :premises (@p213 @p211 @p13)) % 0.52/0.74 (step @p215 false :rule eq_resolve :premises (@p214 @p12)) % 0.52/0.74 ) % 0.52/0.75 % SZS output end Proof % 0.52/0.75 % cvc5 exiting %------------------------------------------------------------------------------