%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL110-2 : 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 : n027.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 28.59s 29.38s % Output : Proof 28.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL110-2 : 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 : n027.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 : Fri Sep 4 14:44:12 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.09/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 21.18/21.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.22/27.94 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.59/29.38 % SZS status Unsatisfiable % 28.59/29.38 % SZS output start Proof % 28.59/29.38 ( % 28.59/29.38 (declare-sort $$unsorted 0) % 28.59/29.38 (declare-const tptp.x $$unsorted) % 28.59/29.38 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 28.59/29.38 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 28.59/29.38 (declare-const tptp.truth $$unsorted) % 28.59/29.38 (define @t1 () (@var "X" $$unsorted)) % 28.59/29.38 (define @t2 () (tptp.implies tptp.truth @t1)) % 28.59/29.38 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 28.59/29.38 (define @t4 () (@var "Z" $$unsorted)) % 28.59/29.38 (define @t5 () (@var "Y" $$unsorted)) % 28.59/29.38 (define @t6 () (tptp.implies @t1 @t5)) % 28.59/29.38 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 28.59/29.38 (define @t8 () (forall (@list @t1 @t5 @t4) (= @t7 tptp.truth))) % 28.59/29.38 (define @t9 () (tptp.implies @t5 @t1)) % 28.59/29.38 (define @t10 () (@list @t1 @t5)) % 28.59/29.38 (define @t11 () (tptp.implies (tptp.implies (tptp.not @t1) (tptp.not @t5)) @t9)) % 28.59/29.38 (define @t12 () (forall @t10 (= @t11 tptp.truth))) % 28.59/29.38 (define @t13 () (tptp.not tptp.x)) % 28.59/29.38 (define @t14 () (tptp.not @t13)) % 28.59/29.38 (define @t15 () (tptp.implies @t14 tptp.x)) % 28.59/29.38 (define @t16 () (tptp.implies (tptp.implies tptp.x tptp.x) @t15)) % 28.59/29.38 (define @t17 () (tptp.implies (tptp.implies @t16 tptp.x) (tptp.implies @t15 tptp.x))) % 28.59/29.38 (define @t18 () (tptp.not tptp.truth)) % 28.59/29.38 (define @t19 () (tptp.not @t18)) % 28.59/29.38 (define @t20 () (tptp.implies tptp.truth tptp.x)) % 28.59/29.38 (define @t21 () (tptp.implies @t13 @t18)) % 28.59/29.38 (define @t22 () (tptp.implies @t19 @t14)) % 28.59/29.38 (define @t23 () (tptp.implies tptp.truth @t14)) % 28.59/29.38 (define @t24 () (tptp.implies @t23 @t22)) % 28.59/29.38 (define @t25 () (tptp.implies @t22 @t20)) % 28.59/29.38 (define @t26 () (tptp.implies @t21 @t20)) % 28.59/29.38 (define @t27 () (tptp.implies @t26 @t25)) % 28.59/29.38 (define @t28 () (tptp.implies @t15 @t16)) % 28.59/29.38 (define @t29 () (= tptp.truth @t28)) % 28.59/29.38 (define @t30 () (= tptp.truth (tptp.implies @t28 @t17))) % 28.59/29.38 (define @t31 () (tptp.implies tptp.truth @t17)) % 28.59/29.38 (define @t32 () (= @t17 @t31)) % 28.59/29.38 (define @t33 () (= tptp.x @t20)) % 28.59/29.38 (define @t34 () (tptp.implies @t13 @t13)) % 28.59/29.38 (define @t35 () (tptp.implies tptp.truth @t13)) % 28.59/29.38 (define @t36 () (tptp.implies @t13 tptp.truth)) % 28.59/29.38 (define @t37 () (= tptp.truth (tptp.implies @t36 (tptp.implies @t35 @t34)))) % 28.59/29.38 (define @t38 () (= @t13 @t35)) % 28.59/29.38 (define @t39 () (= @t14 @t23)) % 28.59/29.38 (define @t40 () (tptp.implies tptp.truth tptp.truth)) % 28.59/29.38 (define @t41 () (tptp.implies @t36 @t40)) % 28.59/29.38 (define @t42 () (tptp.implies @t35 @t41)) % 28.59/29.38 (define @t43 () (= tptp.truth @t42)) % 28.59/29.38 (define @t44 () (tptp.implies @t35 @t13)) % 28.59/29.38 (define @t45 () (= @t44 (tptp.implies @t36 tptp.truth))) % 28.59/29.38 (define @t46 () (= tptp.truth @t26)) % 28.59/29.38 (define @t47 () (tptp.implies (tptp.implies @t19 @t18) (tptp.implies tptp.truth @t18))) % 28.59/29.38 (define @t48 () (= tptp.truth @t47)) % 28.59/29.38 (define @t49 () (tptp.implies tptp.truth @t19)) % 28.59/29.38 (define @t50 () (= @t19 @t49)) % 28.59/29.38 (define @t51 () (tptp.implies @t22 @t21)) % 28.59/29.38 (define @t52 () (= tptp.truth @t51)) % 28.59/29.38 (define @t53 () (= tptp.truth (tptp.implies @t51 @t27))) % 28.59/29.38 (define @t54 () (= tptp.truth (tptp.implies (tptp.implies @t19 tptp.truth) @t24))) % 28.59/29.38 (define @t55 () (tptp.implies @t49 @t47)) % 28.59/29.38 (define @t56 () (= tptp.truth @t55)) % 28.59/29.38 (define @t57 () (tptp.implies tptp.truth @t24)) % 28.59/29.38 (define @t58 () (= @t24 @t57)) % 28.59/29.38 (define @t59 () (tptp.implies tptp.truth @t27)) % 28.59/29.38 (define @t60 () (= @t27 @t59)) % 28.59/29.38 (define @t61 () (tptp.implies tptp.truth @t25)) % 28.59/29.38 (define @t62 () (= @t25 @t61)) % 28.59/29.38 (define @t63 () (tptp.implies @t23 @t20)) % 28.59/29.38 (define @t64 () (tptp.implies @t25 @t63)) % 28.59/29.38 (define @t65 () (tptp.implies @t24 @t64)) % 28.59/29.38 (define @t66 () (= tptp.truth @t65)) % 28.59/29.38 (define @t67 () (= @t15 (tptp.implies tptp.truth @t15))) % 28.59/29.38 (define @t68 () (= tptp.truth @t15)) % 28.59/29.38 (define @t69 () (and @t29 @t30 @t32 @t33 @t37 @t38 @t39 @t43 @t45 @t46 @t48 @t50 @t52 @t53 @t54 @t56 @t58 @t60 @t62 @t66 @t67)) % 28.59/29.38 (assume @p1 @t3) % 28.59/29.38 (assume @p2 @t8) % 28.59/29.38 (assume @p3 (forall @t10 (= (tptp.implies @t6 @t5) (tptp.implies @t9 @t1)))) % 28.59/29.38 (assume @p4 @t12) % 28.59/29.38 (assume @p5 (not (= @t15 tptp.truth))) % 28.59/29.38 (step @p6 :rule symm :premises (@p5)) % 28.59/29.38 (step @p7 :rule eq-symm :args (@t7 tptp.truth)) % 28.59/29.38 (step @p8 :rule cong :premises (@p7) :args (@t8)) % 28.59/29.38 (step @p9 :rule eq_resolve :premises (@p2 @p8)) % 28.59/29.38 (step @p10 :rule instantiate :premises (@p9) :args ((@list @t14 tptp.x tptp.x))) % 28.59/29.38 (step @p11 :rule instantiate :premises (@p9) :args ((@list @t15 @t16 tptp.x))) % 28.59/29.38 (step @p12 :rule eq-symm :args (@t2 @t1)) % 28.59/29.38 (step @p13 :rule cong :premises (@p12) :args (@t3)) % 28.59/29.38 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 28.59/29.38 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t17))) % 28.59/29.38 (step @p16 :rule instantiate :premises (@p14) :args ((@list tptp.x))) % 28.59/29.38 (step @p17 :rule instantiate :premises (@p9) :args ((@list @t13 tptp.truth @t13))) % 28.59/29.38 (step @p18 :rule instantiate :premises (@p14) :args ((@list @t13))) % 28.59/29.38 (step @p19 :rule instantiate :premises (@p14) :args ((@list @t14))) % 28.59/29.38 (step @p20 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t13 tptp.truth))) % 28.59/29.38 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.truth @t13))) % 28.59/29.38 (step @p22 :rule eq-symm :args (@t11 tptp.truth)) % 28.59/29.38 (step @p23 :rule cong :premises (@p22) :args (@t12)) % 28.59/29.38 (step @p24 :rule eq_resolve :premises (@p4 @p23)) % 28.59/29.38 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.x tptp.truth))) % 28.59/29.38 (step @p26 :rule instantiate :premises (@p24) :args ((@list @t18 tptp.truth))) % 28.59/29.38 (step @p27 :rule instantiate :premises (@p14) :args ((@list @t19))) % 28.59/29.38 (step @p28 :rule instantiate :premises (@p24) :args ((@list @t18 @t13))) % 28.59/29.38 (step @p29 :rule instantiate :premises (@p9) :args ((@list @t22 @t21 @t20))) % 28.59/29.38 (step @p30 :rule instantiate :premises (@p9) :args ((@list @t19 tptp.truth @t14))) % 28.59/29.38 (step @p31 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t19 @t18))) % 28.59/29.38 (step @p32 :rule instantiate :premises (@p14) :args ((@list @t24))) % 28.59/29.38 (step @p33 :rule instantiate :premises (@p14) :args ((@list @t27))) % 28.59/29.38 (step @p34 :rule instantiate :premises (@p14) :args ((@list @t25))) % 28.59/29.38 (step @p35 :rule instantiate :premises (@p9) :args ((@list @t23 @t22 @t20))) % 28.59/29.38 (step @p36 :rule instantiate :premises (@p14) :args ((@list @t15))) % 28.59/29.38 (assume-push @p146 @t29) % 28.59/29.38 (assume-push @p147 @t30) % 28.59/29.38 (assume-push @p148 @t32) % 28.59/29.38 (assume-push @p149 @t33) % 28.59/29.38 (assume-push @p150 @t37) % 28.59/29.38 (assume-push @p151 @t38) % 28.59/29.38 (assume-push @p152 @t39) % 28.59/29.38 (assume-push @p153 @t43) % 28.59/29.38 (assume-push @p154 @t45) % 28.59/29.38 (assume-push @p155 @t46) % 28.59/29.38 (assume-push @p156 @t48) % 28.59/29.38 (assume-push @p157 @t50) % 28.59/29.38 (assume-push @p158 @t52) % 28.59/29.38 (assume-push @p159 @t53) % 28.59/29.38 (assume-push @p160 @t54) % 28.59/29.38 (assume-push @p161 @t56) % 28.59/29.38 (assume-push @p162 @t58) % 28.59/29.38 (assume-push @p163 @t60) % 28.59/29.38 (assume-push @p164 @t62) % 28.59/29.38 (assume-push @p165 @t66) % 28.59/29.38 (assume-push @p166 @t67) % 28.59/29.38 (step @p58 :rule symm :premises (@p36)) % 28.59/29.38 (step @p59 :rule refl :args (@t15)) % 28.59/29.38 (step @p60 :rule symm :premises (@p10)) % 28.59/29.38 (step @p61 :rule symm :premises (@p17)) % 28.59/29.38 (step @p62 :rule refl :args (@t13)) % 28.59/29.38 (step @p63 :rule symm :premises (@p18)) % 28.59/29.38 (step @p64 :rule cong :premises (@p63 @p62) :args (@t44)) % 28.59/29.38 (step @p65 :rule symm :premises (@p21)) % 28.59/29.38 (step @p66 :rule symm :premises (@p11)) % 28.59/29.38 (step @p67 :rule refl :args (@t17)) % 28.59/29.38 (step @p68 :rule cong :premises (@p10 @p67) :args (@t31)) % 28.59/29.38 (step @p69 :rule symm :premises (@p15)) % 28.59/29.38 (step @p70 :rule symm :premises (@p68)) % 28.59/29.38 (step @p71 :rule trans :premises (@p11 @p70 @p69)) % 28.59/29.38 (step @p72 :rule refl :args (tptp.truth)) % 28.59/29.38 (step @p73 :rule cong :premises (@p72 @p71) :args (@t40)) % 28.59/29.38 (step @p74 :rule trans :premises (@p73 @p68 @p66)) % 28.59/29.38 (step @p75 :rule refl :args (@t36)) % 28.59/29.38 (step @p76 :rule cong :premises (@p75 @p74) :args (@t41)) % 28.59/29.38 (step @p77 :rule trans :premises (@p76 @p65 @p64)) % 28.59/29.38 (step @p78 :rule refl :args (@t35)) % 28.59/29.38 (step @p79 :rule cong :premises (@p78 @p77) :args (@t42)) % 28.59/29.38 (step @p80 :rule trans :premises (@p73 @p68 @p66 @p20 @p79)) % 28.59/29.38 (step @p81 :rule cong :premises (@p75 @p80) :args (@t41)) % 28.59/29.38 (step @p82 :rule symm :premises (@p76)) % 28.59/29.38 (step @p83 :rule symm :premises (@p64)) % 28.59/29.38 (step @p84 :rule trans :premises (@p83 @p21 @p82 @p81 @p61 @p10)) % 28.59/29.38 (step @p85 :rule trans :premises (@p84 @p60)) % 28.59/29.38 (step @p86 :rule cong :premises (@p85 @p59) :args ((tptp.implies @t34 @t15))) % 28.59/29.38 (step @p87 :rule refl :args (tptp.x)) % 28.59/29.38 (step @p88 :rule symm :premises (@p19)) % 28.59/29.38 (step @p89 :rule cong :premises (@p88 @p87) :args ((tptp.implies @t23 tptp.x))) % 28.59/29.38 (step @p90 :rule symm :premises (@p16)) % 28.59/29.38 (step @p91 :rule refl :args (@t23)) % 28.59/29.38 (step @p92 :rule cong :premises (@p91 @p90) :args (@t63)) % 28.59/29.38 (step @p93 :rule trans :premises (@p92 @p89)) % 28.59/29.38 (step @p94 :rule symm :premises (@p84)) % 28.59/29.38 (step @p95 :rule symm :premises (@p29)) % 28.59/29.38 (step @p96 :rule refl :args (@t27)) % 28.59/29.38 (step @p97 :rule cong :premises (@p28 @p96) :args (@t59)) % 28.59/29.38 (step @p98 :rule refl :args (@t25)) % 28.59/29.38 (step @p99 :rule cong :premises (@p25 @p98) :args (@t61)) % 28.59/29.38 (step @p100 :rule trans :premises (@p34 @p99 @p33 @p97 @p95 @p10)) % 28.59/29.38 (step @p101 :rule trans :premises (@p100 @p94)) % 28.59/29.38 (step @p102 :rule cong :premises (@p101 @p93) :args (@t64)) % 28.59/29.38 (step @p103 :rule symm :premises (@p92)) % 28.59/29.38 (step @p104 :rule symm :premises (@p89)) % 28.59/29.38 (step @p105 :rule trans :premises (@p102 @p86 @p58 @p104 @p103)) % 28.59/29.38 (step @p106 :rule symm :premises (@p100)) % 28.59/29.38 (step @p107 :rule symm :premises (@p30)) % 28.59/29.38 (step @p108 :rule refl :args (@t24)) % 28.59/29.38 (step @p109 :rule symm :premises (@p26)) % 28.59/29.38 (step @p110 :rule symm :premises (@p27)) % 28.59/29.38 (step @p111 :rule cong :premises (@p110 @p109) :args (@t55)) % 28.59/29.38 (step @p112 :rule trans :premises (@p60 @p31 @p111)) % 28.59/29.38 (step @p113 :rule trans :premises (@p10 @p112)) % 28.59/29.38 (step @p114 :rule cong :premises (@p113 @p108) :args (@t57)) % 28.59/29.38 (step @p115 :rule trans :premises (@p32 @p114 @p107 @p10)) % 28.59/29.38 (step @p116 :rule trans :premises (@p115 @p106)) % 28.59/29.38 (step @p117 :rule cong :premises (@p116 @p105) :args (@t65)) % 28.59/29.38 (step @p118 :rule trans :premises (@p35 @p117 @p102 @p86 @p58)) % 28.59/29.38 (step-pop @p167 :rule scope :premises (@p118)) % 28.59/29.38 (step-pop @p168 :rule scope :premises (@p167)) % 28.59/29.38 (step-pop @p169 :rule scope :premises (@p168)) % 28.59/29.38 (step-pop @p170 :rule scope :premises (@p169)) % 28.59/29.38 (step-pop @p171 :rule scope :premises (@p170)) % 28.59/29.38 (step-pop @p172 :rule scope :premises (@p171)) % 28.59/29.38 (step-pop @p173 :rule scope :premises (@p172)) % 28.59/29.38 (step-pop @p174 :rule scope :premises (@p173)) % 28.59/29.38 (step-pop @p175 :rule scope :premises (@p174)) % 28.59/29.38 (step-pop @p176 :rule scope :premises (@p175)) % 28.59/29.38 (step-pop @p177 :rule scope :premises (@p176)) % 28.59/29.38 (step-pop @p178 :rule scope :premises (@p177)) % 28.59/29.38 (step-pop @p179 :rule scope :premises (@p178)) % 28.59/29.38 (step-pop @p180 :rule scope :premises (@p179)) % 28.59/29.38 (step-pop @p181 :rule scope :premises (@p180)) % 28.59/29.38 (step-pop @p182 :rule scope :premises (@p181)) % 28.59/29.38 (step-pop @p183 :rule scope :premises (@p182)) % 28.59/29.38 (step-pop @p184 :rule scope :premises (@p183)) % 28.59/29.38 (step-pop @p185 :rule scope :premises (@p184)) % 28.59/29.38 (step-pop @p186 :rule scope :premises (@p185)) % 28.59/29.38 (step-pop @p187 :rule scope :premises (@p186)) % 28.59/29.38 (step @p119 :rule process_scope :premises (@p187) :args (@t68)) % 28.59/29.38 (step @p141 :rule implies_elim :premises (@p119)) % 28.59/29.38 (step @p142 :rule cnf_and_neg :args (@t69)) % 28.59/29.38 (step @p143 :rule resolution :premises (@p142 @p141) :args (true @t69)) % 28.59/29.38 (step @p144 :rule reordering :premises (@p143) :args ((or @t68 (not @t29) (not @t30) (not @t32) (not @t33) (not @t37) (not @t38) (not @t39) (not @t43) (not @t45) (not @t46) (not @t48) (not @t50) (not @t52) (not @t53) (not @t54) (not @t56) (not @t58) (not @t60) (not @t62) (not @t66) (not @t67)))) % 28.59/29.38 (step @p145 false :rule chain_m_resolution :premises (@p144 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p11 @p10 @p6) :args (false (@list false false false false false false false false false false false false false false false false false false false false false true) (@list @t67 @t66 @t62 @t60 @t58 @t56 @t54 @t53 @t52 @t50 @t48 @t46 @t45 @t43 @t39 @t38 @t37 @t33 @t32 @t30 @t29 @t68))) % 28.59/29.38 ) % 28.59/29.39 % SZS output end Proof % 28.59/29.39 % cvc5 exiting %------------------------------------------------------------------------------