%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL164-1 : TPTP v9.3.1. 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 : 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 11:22:17 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL164-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n004.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 06:42:59 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.13/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.48 % SZS status Unsatisfiable % 0.19/0.48 % SZS output start Proof % 0.19/0.49 ( % 0.19/0.49 (declare-sort $$unsorted 0) % 0.19/0.49 (declare-const tptp.y $$unsorted) % 0.19/0.49 (declare-const tptp.x $$unsorted) % 0.19/0.49 (declare-const tptp.falsehood $$unsorted) % 0.19/0.49 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.49 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.19/0.49 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.49 (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.49 (declare-const tptp.truth $$unsorted) % 0.19/0.49 (define @t1 () (@var "X" $$unsorted)) % 0.19/0.49 (define @t2 () (tptp.xor @t1 tptp.truth)) % 0.19/0.49 (define @t3 () (@list @t1)) % 0.19/0.49 (define @t4 () (tptp.xor @t1 tptp.falsehood)) % 0.19/0.49 (define @t5 () (forall @t3 (= @t4 @t1))) % 0.19/0.49 (define @t6 () (tptp.xor tptp.truth @t1)) % 0.19/0.49 (define @t7 () (tptp.and_star @t6 @t1)) % 0.19/0.49 (define @t8 () (forall @t3 (= @t7 tptp.falsehood))) % 0.19/0.49 (define @t9 () (@var "Y" $$unsorted)) % 0.19/0.49 (define @t10 () (tptp.xor tptp.truth @t9)) % 0.19/0.49 (define @t11 () (@list @t1 @t9)) % 0.19/0.49 (define @t12 () (forall @t11 (= (tptp.xor @t1 @t9) (tptp.xor @t9 @t1)))) % 0.19/0.49 (define @t13 () (@var "Z" $$unsorted)) % 0.19/0.49 (define @t14 () (tptp.and_star @t1 @t9)) % 0.19/0.49 (define @t15 () (tptp.not tptp.truth)) % 0.19/0.49 (define @t16 () (tptp.implies tptp.y tptp.x)) % 0.19/0.49 (define @t17 () (tptp.not tptp.y)) % 0.19/0.49 (define @t18 () (tptp.not tptp.x)) % 0.19/0.49 (define @t19 () (tptp.implies @t18 @t17)) % 0.19/0.49 (define @t20 () (tptp.implies @t19 @t16)) % 0.19/0.49 (define @t21 () (@list tptp.truth)) % 0.19/0.49 (define @t22 () (@list tptp.y)) % 0.19/0.49 (define @t23 () (tptp.xor tptp.truth tptp.x)) % 0.19/0.49 (define @t24 () (tptp.xor tptp.x tptp.truth)) % 0.19/0.49 (define @t25 () (= @t23 @t24)) % 0.19/0.49 (define @t26 () (@list tptp.truth tptp.x)) % 0.19/0.49 (define @t27 () (= @t24 @t23)) % 0.19/0.49 (define @t28 () (@list tptp.y tptp.truth)) % 0.19/0.49 (define @t29 () (tptp.xor tptp.truth @t16)) % 0.19/0.49 (define @t30 () (tptp.and_star tptp.y @t23)) % 0.19/0.49 (define @t31 () (tptp.xor tptp.truth @t17)) % 0.19/0.49 (define @t32 () (tptp.and_star @t18 @t31)) % 0.19/0.49 (define @t33 () (= tptp.falsehood @t15)) % 0.19/0.49 (define @t34 () (tptp.xor tptp.truth tptp.truth)) % 0.19/0.49 (define @t35 () (= @t15 @t34)) % 0.19/0.49 (define @t36 () (= @t18 @t24)) % 0.19/0.49 (define @t37 () (tptp.xor tptp.y tptp.truth)) % 0.19/0.49 (define @t38 () (= @t17 @t37)) % 0.19/0.49 (define @t39 () (tptp.xor tptp.truth @t30)) % 0.19/0.49 (define @t40 () (= @t16 @t39)) % 0.19/0.49 (define @t41 () (tptp.xor tptp.truth @t32)) % 0.19/0.49 (define @t42 () (= @t19 @t41)) % 0.19/0.49 (define @t43 () (tptp.and_star @t19 @t29)) % 0.19/0.49 (define @t44 () (= @t20 (tptp.xor tptp.truth @t43))) % 0.19/0.49 (define @t45 () (= tptp.falsehood (tptp.and_star @t31 @t17))) % 0.19/0.49 (define @t46 () (tptp.and_star @t29 @t16)) % 0.19/0.49 (define @t47 () (= tptp.falsehood @t46)) % 0.19/0.49 (define @t48 () (= @t31 (tptp.xor @t17 tptp.truth))) % 0.19/0.49 (define @t49 () (tptp.xor tptp.truth tptp.y)) % 0.19/0.49 (define @t50 () (= @t37 @t49)) % 0.19/0.49 (define @t51 () (tptp.and_star @t23 tptp.y)) % 0.19/0.49 (define @t52 () (= @t30 @t51)) % 0.19/0.49 (define @t53 () (= @t43 (tptp.and_star @t29 @t19))) % 0.19/0.49 (define @t54 () (tptp.xor @t37 tptp.truth)) % 0.19/0.49 (define @t55 () (= (tptp.xor tptp.y @t34) @t54)) % 0.19/0.49 (define @t56 () (tptp.implies @t29 @t30)) % 0.19/0.49 (define @t57 () (= @t56 (tptp.xor tptp.truth (tptp.and_star @t29 @t39)))) % 0.19/0.49 (define @t58 () (tptp.and_star @t29 @t41)) % 0.19/0.49 (define @t59 () (tptp.xor tptp.truth @t58)) % 0.19/0.49 (define @t60 () (= (tptp.implies @t29 @t32) @t59)) % 0.19/0.49 (define @t61 () (tptp.xor tptp.truth tptp.falsehood)) % 0.19/0.49 (define @t62 () (= tptp.truth @t61)) % 0.19/0.49 (define @t63 () (tptp.xor tptp.y tptp.falsehood)) % 0.19/0.49 (define @t64 () (= tptp.y @t63)) % 0.19/0.49 (define @t65 () (tptp.and_star @t31 @t49)) % 0.19/0.49 (define @t66 () (= tptp.truth @t20)) % 0.19/0.49 (define @t67 () (and @t33 @t35 @t36 @t38 @t40 @t42 @t44 @t45 @t47 @t27 @t48 @t50 @t52 @t53 @t55 @t57 @t60 @t62 @t64)) % 0.19/0.49 (assume @p1 (forall @t3 (= (tptp.not @t1) @t2))) % 0.19/0.49 (assume @p2 @t5) % 0.19/0.49 (assume @p3 (forall @t3 (= (tptp.xor @t1 @t1) tptp.falsehood))) % 0.19/0.49 (assume @p4 (forall @t3 (= (tptp.and_star @t1 tptp.truth) @t1))) % 0.19/0.49 (assume @p5 (forall @t3 (= (tptp.and_star @t1 tptp.falsehood) tptp.falsehood))) % 0.19/0.49 (assume @p6 @t8) % 0.19/0.49 (assume @p7 (forall @t11 (= (tptp.xor @t1 @t10) (tptp.xor @t2 @t9)))) % 0.19/0.49 (assume @p8 (forall @t11 (= (tptp.and_star (tptp.xor (tptp.and_star @t6 @t9) tptp.truth) @t9) (tptp.and_star (tptp.xor (tptp.and_star @t10 @t1) tptp.truth) @t1)))) % 0.19/0.49 (assume @p9 @t12) % 0.19/0.49 (assume @p10 (forall (@list @t1 @t9 @t13) (= (tptp.and_star @t14 @t13) (tptp.and_star @t1 (tptp.and_star @t9 @t13))))) % 0.19/0.49 (assume @p11 (forall @t11 (= @t14 (tptp.and_star @t9 @t1)))) % 0.19/0.49 (assume @p12 (= @t15 tptp.falsehood)) % 0.19/0.49 (assume @p13 (forall @t11 (= (tptp.implies @t1 @t9) (tptp.xor tptp.truth (tptp.and_star @t1 @t10))))) % 0.19/0.49 (assume @p14 (not (= @t20 tptp.truth))) % 0.19/0.49 (step @p15 :rule symm :premises (@p12)) % 0.19/0.49 (step @p16 :rule symm :premises (@p14)) % 0.19/0.49 (step @p17 :rule instantiate :premises (@p1) :args (@t21)) % 0.19/0.49 (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.x))) % 0.19/0.49 (step @p19 :rule instantiate :premises (@p1) :args (@t22)) % 0.19/0.49 (step @p20 :rule instantiate :premises (@p13) :args ((@list tptp.y tptp.x))) % 0.19/0.49 (step @p21 :rule instantiate :premises (@p13) :args ((@list @t18 @t17))) % 0.19/0.49 (step @p22 :rule instantiate :premises (@p13) :args ((@list @t19 @t16))) % 0.19/0.49 (step @p23 :rule eq-symm :args (@t7 tptp.falsehood)) % 0.19/0.49 (step @p24 :rule cong :premises (@p23) :args (@t8)) % 0.19/0.49 (step @p25 :rule eq_resolve :premises (@p6 @p24)) % 0.19/0.49 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t17))) % 0.19/0.49 (step @p27 :rule instantiate :premises (@p25) :args ((@list @t16))) % 0.19/0.49 (step @p28 :rule eq-symm :args (@t23 @t24)) % 0.19/0.49 (step @p29 :rule refl :args (@t12)) % 0.19/0.49 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t12 @t25))) % 0.19/0.49 (assume-push @p127 @t12) % 0.19/0.49 (step @p32 :rule instantiate :premises (@p9) :args (@t26)) % 0.19/0.49 (step-pop @p128 :rule scope :premises (@p32)) % 0.19/0.49 (step @p33 :rule process_scope :premises (@p128) :args (@t25)) % 0.19/0.49 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.19/0.49 (step @p36 :rule implies_elim :premises (@p35)) % 0.19/0.49 (step @p37 :rule chain_m_resolution :premises (@p36 @p9) :args (@t27 (@list false) (@list @t12))) % 0.19/0.49 (step @p38 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t17))) % 0.19/0.49 (step @p39 :rule instantiate :premises (@p9) :args (@t28)) % 0.19/0.49 (step @p40 :rule instantiate :premises (@p11) :args ((@list tptp.y @t23))) % 0.19/0.49 (step @p41 :rule instantiate :premises (@p11) :args ((@list @t19 @t29))) % 0.19/0.49 (step @p42 :rule instantiate :premises (@p7) :args (@t28)) % 0.19/0.49 (step @p43 :rule instantiate :premises (@p13) :args ((@list @t29 @t30))) % 0.19/0.49 (step @p44 :rule instantiate :premises (@p13) :args ((@list @t29 @t32))) % 0.19/0.49 (step @p45 :rule eq-symm :args (@t4 @t1)) % 0.19/0.49 (step @p46 :rule cong :premises (@p45) :args (@t5)) % 0.19/0.49 (step @p47 :rule eq_resolve :premises (@p2 @p46)) % 0.19/0.49 (step @p48 :rule instantiate :premises (@p47) :args (@t21)) % 0.19/0.49 (step @p49 :rule instantiate :premises (@p47) :args (@t22)) % 0.19/0.49 (assume-push @p129 @t33) % 0.19/0.49 (assume-push @p130 @t35) % 0.19/0.49 (assume-push @p131 @t36) % 0.19/0.49 (assume-push @p132 @t38) % 0.19/0.49 (assume-push @p133 @t40) % 0.19/0.49 (assume-push @p134 @t42) % 0.19/0.49 (assume-push @p135 @t44) % 0.19/0.49 (assume-push @p136 @t45) % 0.19/0.49 (assume-push @p137 @t47) % 0.19/0.49 (assume-push @p138 @t27) % 0.19/0.49 (assume-push @p139 @t48) % 0.19/0.49 (assume-push @p140 @t50) % 0.19/0.49 (assume-push @p141 @t52) % 0.19/0.49 (assume-push @p142 @t53) % 0.19/0.49 (assume-push @p143 @t55) % 0.19/0.49 (assume-push @p144 @t57) % 0.19/0.49 (assume-push @p145 @t60) % 0.19/0.49 (assume-push @p146 @t62) % 0.19/0.49 (assume-push @p147 @t64) % 0.19/0.49 (step @p69 :rule symm :premises (@p22)) % 0.19/0.49 (step @p70 :rule symm :premises (@p41)) % 0.19/0.49 (step @p71 :rule symm :premises (@p21)) % 0.19/0.49 (step @p72 :rule refl :args (@t29)) % 0.19/0.49 (step @p73 :rule cong :premises (@p72 @p71) :args (@t58)) % 0.19/0.49 (step @p74 :rule trans :premises (@p73 @p70)) % 0.19/0.49 (step @p75 :rule refl :args (tptp.truth)) % 0.19/0.49 (step @p76 :rule cong :premises (@p75 @p74) :args (@t59)) % 0.19/0.49 (step @p77 :rule symm :premises (@p38)) % 0.19/0.49 (step @p78 :rule symm :premises (@p19)) % 0.19/0.49 (step @p79 :rule cong :premises (@p78 @p75) :args (@t54)) % 0.19/0.49 (step @p80 :rule trans :premises (@p15 @p17)) % 0.19/0.49 (step @p81 :rule refl :args (tptp.y)) % 0.19/0.49 (step @p82 :rule cong :premises (@p81 @p80) :args (@t63)) % 0.19/0.49 (step @p83 :rule trans :premises (@p49 @p82 @p42 @p79 @p77)) % 0.19/0.49 (step @p84 :rule symm :premises (@p18)) % 0.19/0.49 (step @p32 :rule instantiate :premises (@p9) :args (@t26)) % 0.19/0.49 (step @p85 :rule trans :premises (@p32 @p84)) % 0.19/0.49 (step @p86 :rule cong :premises (@p85 @p83) :args (@t51)) % 0.19/0.49 (step @p87 :rule trans :premises (@p40 @p86)) % 0.19/0.49 (step @p88 :rule cong :premises (@p72 @p87) :args (@t56)) % 0.19/0.49 (step @p89 :rule symm :premises (@p43)) % 0.19/0.49 (step @p90 :rule cong :premises (@p72 @p20) :args (@t46)) % 0.19/0.49 (step @p91 :rule symm :premises (@p26)) % 0.19/0.49 (step @p92 :rule symm :premises (@p39)) % 0.19/0.49 (step @p93 :rule trans :premises (@p92 @p78)) % 0.19/0.49 (step @p94 :rule refl :args (@t31)) % 0.19/0.49 (step @p95 :rule cong :premises (@p94 @p93) :args (@t65)) % 0.19/0.49 (step @p96 :rule trans :premises (@p95 @p91 @p27 @p90)) % 0.19/0.49 (step @p97 :rule cong :premises (@p75 @p96) :args ((tptp.xor tptp.truth @t65))) % 0.19/0.49 (step @p98 :rule symm :premises (@p95)) % 0.19/0.49 (step @p99 :rule trans :premises (@p26 @p98)) % 0.19/0.49 (step @p100 :rule cong :premises (@p75 @p99) :args (@t61)) % 0.19/0.49 (step @p101 :rule trans :premises (@p48 @p100 @p97 @p89 @p88 @p44 @p76 @p69)) % 0.19/0.49 (step-pop @p148 :rule scope :premises (@p101)) % 0.19/0.49 (step-pop @p149 :rule scope :premises (@p148)) % 0.19/0.49 (step-pop @p150 :rule scope :premises (@p149)) % 0.19/0.49 (step-pop @p151 :rule scope :premises (@p150)) % 0.19/0.49 (step-pop @p152 :rule scope :premises (@p151)) % 0.19/0.49 (step-pop @p153 :rule scope :premises (@p152)) % 0.19/0.49 (step-pop @p154 :rule scope :premises (@p153)) % 0.19/0.49 (step-pop @p155 :rule scope :premises (@p154)) % 0.19/0.49 (step-pop @p156 :rule scope :premises (@p155)) % 0.19/0.49 (step-pop @p157 :rule scope :premises (@p156)) % 0.19/0.49 (step-pop @p158 :rule scope :premises (@p157)) % 0.19/0.49 (step-pop @p159 :rule scope :premises (@p158)) % 0.19/0.49 (step-pop @p160 :rule scope :premises (@p159)) % 0.19/0.49 (step-pop @p161 :rule scope :premises (@p160)) % 0.19/0.49 (step-pop @p162 :rule scope :premises (@p161)) % 0.19/0.49 (step-pop @p163 :rule scope :premises (@p162)) % 0.19/0.49 (step-pop @p164 :rule scope :premises (@p163)) % 0.19/0.49 (step-pop @p165 :rule scope :premises (@p164)) % 0.19/0.49 (step-pop @p166 :rule scope :premises (@p165)) % 0.19/0.49 (step @p102 :rule process_scope :premises (@p166) :args (@t66)) % 0.19/0.49 (step @p122 :rule implies_elim :premises (@p102)) % 0.19/0.49 (step @p123 :rule cnf_and_neg :args (@t67)) % 0.19/0.49 (step @p124 :rule resolution :premises (@p123 @p122) :args (true @t67)) % 0.19/0.49 (step @p125 :rule reordering :premises (@p124) :args ((or @t66 (not @t33) (not @t35) (not @t36) (not @t38) (not @t40) (not @t42) (not @t44) (not @t45) (not @t47) (not @t27) (not @t48) (not @t50) (not @t52) (not @t53) (not @t55) (not @t57) (not @t60) (not @t62) (not @t64)))) % 0.19/0.49 (step @p126 false :rule chain_m_resolution :premises (@p125 @p49 @p48 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p27 @p26 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15) :args (false (@list false false false false false false false false false false false false false false false false false false true false) (@list @t64 @t62 @t60 @t57 @t55 @t53 @t52 @t50 @t48 @t27 @t47 @t45 @t44 @t42 @t40 @t38 @t36 @t35 @t66 @t33))) % 0.19/0.49 ) % 0.19/0.49 % SZS output end Proof % 0.19/0.49 % cvc5 exiting %------------------------------------------------------------------------------