%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO004-4 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:08:59 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : BOO004-4 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n016.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:35:39 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.63 % SZS status Unsatisfiable % 0.39/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.a $$unsorted) % 0.46/0.63 (declare-const tptp.multiplicative_identity $$unsorted) % 0.46/0.63 (declare-const tptp.additive_identity $$unsorted) % 0.46/0.63 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t2 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t3 () (tptp.add @t1 @t2)) % 0.46/0.63 (define @t4 () (@list @t1 @t2)) % 0.46/0.63 (define @t5 () (tptp.multiply @t1 @t2)) % 0.46/0.63 (define @t6 () (@var "Z" $$unsorted)) % 0.46/0.63 (define @t7 () (@list @t1 @t2 @t6)) % 0.46/0.63 (define @t8 () (tptp.add @t1 tptp.additive_identity)) % 0.46/0.63 (define @t9 () (@list @t1)) % 0.46/0.63 (define @t10 () (forall @t9 (= @t8 @t1))) % 0.46/0.63 (define @t11 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.46/0.63 (define @t12 () (forall @t9 (= @t11 @t1))) % 0.46/0.63 (define @t13 () (tptp.inverse @t1)) % 0.46/0.63 (define @t14 () (tptp.add @t1 @t13)) % 0.46/0.63 (define @t15 () (forall @t9 (= @t14 tptp.multiplicative_identity))) % 0.46/0.63 (define @t16 () (tptp.multiply @t1 @t13)) % 0.46/0.63 (define @t17 () (forall @t9 (= @t16 tptp.additive_identity))) % 0.46/0.63 (define @t18 () (tptp.add tptp.a tptp.a)) % 0.46/0.63 (define @t19 () (@list tptp.additive_identity)) % 0.46/0.63 (define @t20 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.46/0.63 (define @t21 () (tptp.inverse tptp.additive_identity)) % 0.46/0.63 (define @t22 () (tptp.inverse tptp.multiplicative_identity)) % 0.46/0.63 (define @t23 () (tptp.add tptp.a @t22)) % 0.46/0.63 (define @t24 () (tptp.add tptp.a tptp.multiplicative_identity)) % 0.46/0.63 (define @t25 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 0.46/0.63 (define @t26 () (tptp.multiply @t23 tptp.a)) % 0.46/0.63 (define @t27 () (tptp.multiply @t23 tptp.multiplicative_identity)) % 0.46/0.63 (define @t28 () (tptp.multiply @t25 @t25)) % 0.46/0.63 (define @t29 () (tptp.add tptp.additive_identity @t20)) % 0.46/0.63 (define @t30 () (= @t29 @t28)) % 0.46/0.63 (define @t31 () (= tptp.additive_identity @t25)) % 0.46/0.63 (define @t32 () (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.multiplicative_identity))) % 0.46/0.63 (define @t33 () (tptp.add tptp.additive_identity @t21)) % 0.46/0.63 (define @t34 () (= tptp.multiplicative_identity @t33)) % 0.46/0.63 (define @t35 () (tptp.multiply tptp.additive_identity @t21)) % 0.46/0.63 (define @t36 () (= tptp.additive_identity @t35)) % 0.46/0.63 (define @t37 () (tptp.add @t20 tptp.additive_identity)) % 0.46/0.63 (define @t38 () (= @t29 @t37)) % 0.46/0.63 (define @t39 () (tptp.multiply tptp.additive_identity @t33)) % 0.46/0.63 (define @t40 () (= @t39 (tptp.add @t20 @t35))) % 0.46/0.63 (define @t41 () (tptp.add tptp.a tptp.additive_identity)) % 0.46/0.63 (define @t42 () (= tptp.a @t41)) % 0.46/0.63 (define @t43 () (tptp.multiply tptp.multiplicative_identity @t22)) % 0.46/0.63 (define @t44 () (= tptp.additive_identity @t43)) % 0.46/0.63 (define @t45 () (tptp.multiply @t22 tptp.multiplicative_identity)) % 0.46/0.63 (define @t46 () (= @t43 @t45)) % 0.46/0.63 (define @t47 () (tptp.multiply @t24 @t23)) % 0.46/0.63 (define @t48 () (tptp.add tptp.a @t43)) % 0.46/0.63 (define @t49 () (= @t48 @t47)) % 0.46/0.63 (define @t50 () (tptp.add tptp.multiplicative_identity tptp.a)) % 0.46/0.63 (define @t51 () (= @t24 @t50)) % 0.46/0.63 (define @t52 () (tptp.multiply @t23 @t24)) % 0.46/0.63 (define @t53 () (= @t47 @t52)) % 0.46/0.63 (define @t54 () (tptp.add @t47 @t47)) % 0.46/0.63 (define @t55 () (= (tptp.multiply @t24 (tptp.add @t23 @t23)) @t54)) % 0.46/0.63 (define @t56 () (= @t22 @t45)) % 0.46/0.63 (define @t57 () (tptp.add tptp.a @t25)) % 0.46/0.63 (define @t58 () (tptp.add tptp.a @t28)) % 0.46/0.63 (define @t59 () (= @t58 (tptp.multiply @t57 @t57))) % 0.46/0.63 (define @t60 () (tptp.multiply @t24 @t18)) % 0.46/0.63 (define @t61 () (tptp.multiply tptp.multiplicative_identity tptp.a)) % 0.46/0.63 (define @t62 () (= (tptp.add tptp.a @t61) @t60)) % 0.46/0.63 (define @t63 () (tptp.add @t27 @t26)) % 0.46/0.63 (define @t64 () (= (tptp.multiply @t23 @t50) @t63)) % 0.46/0.63 (define @t65 () (tptp.add @t26 @t27)) % 0.46/0.63 (define @t66 () (= @t63 @t65)) % 0.46/0.63 (define @t67 () (= @t61 (tptp.multiply tptp.a tptp.multiplicative_identity))) % 0.46/0.63 (define @t68 () (= tptp.a @t18)) % 0.46/0.63 (define @t69 () (and @t30 @t31 @t32 @t34 @t36 @t38 @t40 @t42 @t44 @t46 @t49 @t51 @t53 @t55 @t56 @t59 @t62 @t64 @t66 @t67)) % 0.46/0.63 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.46/0.63 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.46/0.63 (assume @p3 (forall @t7 (= (tptp.add @t1 (tptp.multiply @t2 @t6)) (tptp.multiply @t3 (tptp.add @t1 @t6))))) % 0.46/0.63 (assume @p4 (forall @t7 (= (tptp.multiply @t1 (tptp.add @t2 @t6)) (tptp.add @t5 (tptp.multiply @t1 @t6))))) % 0.46/0.63 (assume @p5 @t10) % 0.46/0.63 (assume @p6 @t12) % 0.46/0.63 (assume @p7 @t15) % 0.46/0.63 (assume @p8 @t17) % 0.46/0.63 (assume @p9 (not (= @t18 tptp.a))) % 0.46/0.63 (step @p10 :rule symm :premises (@p9)) % 0.46/0.63 (step @p11 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity))) % 0.46/0.63 (step @p12 :rule eq-symm :args (@t8 @t1)) % 0.46/0.63 (step @p13 :rule cong :premises (@p12) :args (@t10)) % 0.46/0.63 (step @p14 :rule eq_resolve :premises (@p5 @p13)) % 0.46/0.63 (step @p15 :rule instantiate :premises (@p14) :args (@t19)) % 0.46/0.63 (step @p16 :rule eq-symm :args (@t11 @t1)) % 0.46/0.63 (step @p17 :rule cong :premises (@p16) :args (@t12)) % 0.46/0.63 (step @p18 :rule eq_resolve :premises (@p6 @p17)) % 0.46/0.63 (step @p19 :rule instantiate :premises (@p18) :args (@t19)) % 0.46/0.63 (step @p20 :rule eq-symm :args (@t14 tptp.multiplicative_identity)) % 0.46/0.63 (step @p21 :rule cong :premises (@p20) :args (@t15)) % 0.46/0.63 (step @p22 :rule eq_resolve :premises (@p7 @p21)) % 0.46/0.63 (step @p23 :rule instantiate :premises (@p22) :args (@t19)) % 0.46/0.63 (step @p24 :rule eq-symm :args (@t16 tptp.additive_identity)) % 0.46/0.63 (step @p25 :rule cong :premises (@p24) :args (@t17)) % 0.46/0.63 (step @p26 :rule eq_resolve :premises (@p8 @p25)) % 0.46/0.63 (step @p27 :rule instantiate :premises (@p26) :args (@t19)) % 0.46/0.63 (step @p28 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity @t20))) % 0.46/0.63 (step @p29 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.additive_identity @t21))) % 0.46/0.63 (step @p30 :rule instantiate :premises (@p14) :args ((@list tptp.a))) % 0.46/0.63 (step @p31 :rule instantiate :premises (@p26) :args ((@list tptp.multiplicative_identity))) % 0.46/0.63 (step @p32 :rule instantiate :premises (@p2) :args ((@list tptp.multiplicative_identity @t22))) % 0.46/0.63 (step @p33 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.multiplicative_identity @t22))) % 0.46/0.63 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.multiplicative_identity))) % 0.46/0.63 (step @p35 :rule instantiate :premises (@p2) :args ((@list @t24 @t23))) % 0.46/0.63 (step @p36 :rule instantiate :premises (@p4) :args ((@list @t24 @t23 @t23))) % 0.46/0.63 (step @p37 :rule instantiate :premises (@p18) :args ((@list @t22))) % 0.46/0.63 (step @p38 :rule instantiate :premises (@p3) :args ((@list tptp.a @t25 @t25))) % 0.46/0.63 (step @p39 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.multiplicative_identity tptp.a))) % 0.46/0.63 (step @p40 :rule instantiate :premises (@p4) :args ((@list @t23 tptp.multiplicative_identity tptp.a))) % 0.46/0.63 (step @p41 :rule instantiate :premises (@p1) :args ((@list @t27 @t26))) % 0.46/0.63 (step @p42 :rule instantiate :premises (@p2) :args ((@list tptp.multiplicative_identity tptp.a))) % 0.46/0.63 (assume-push @p129 @t30) % 0.46/0.63 (assume-push @p130 @t31) % 0.46/0.63 (assume-push @p131 @t32) % 0.46/0.63 (assume-push @p132 @t34) % 0.46/0.63 (assume-push @p133 @t36) % 0.46/0.63 (assume-push @p134 @t38) % 0.46/0.63 (assume-push @p135 @t40) % 0.46/0.63 (assume-push @p136 @t42) % 0.46/0.63 (assume-push @p137 @t44) % 0.46/0.63 (assume-push @p138 @t46) % 0.46/0.63 (assume-push @p139 @t49) % 0.46/0.63 (assume-push @p140 @t51) % 0.46/0.63 (assume-push @p141 @t53) % 0.46/0.63 (assume-push @p142 @t55) % 0.46/0.63 (assume-push @p143 @t56) % 0.46/0.63 (assume-push @p144 @t59) % 0.46/0.63 (assume-push @p145 @t62) % 0.46/0.63 (assume-push @p146 @t64) % 0.46/0.63 (assume-push @p147 @t66) % 0.46/0.63 (assume-push @p148 @t67) % 0.46/0.63 (step @p63 :rule symm :premises (@p30)) % 0.46/0.63 (step @p64 :rule symm :premises (@p31)) % 0.46/0.63 (step @p65 :rule refl :args (tptp.a)) % 0.46/0.63 (step @p66 :rule cong :premises (@p65 @p64) :args (@t48)) % 0.46/0.63 (step @p67 :rule symm :premises (@p33)) % 0.46/0.63 (step @p68 :rule trans :premises (@p67 @p66 @p63)) % 0.46/0.63 (step @p69 :rule cong :premises (@p68 @p68) :args (@t54)) % 0.46/0.63 (step @p70 :rule symm :premises (@p37)) % 0.46/0.63 (step @p71 :rule trans :premises (@p31 @p32 @p70)) % 0.46/0.63 (step @p72 :rule cong :premises (@p65 @p71) :args (@t41)) % 0.46/0.63 (step @p73 :rule trans :premises (@p30 @p72)) % 0.46/0.63 (step @p74 :rule cong :premises (@p73 @p73) :args (@t18)) % 0.46/0.63 (step @p75 :rule refl :args (@t24)) % 0.46/0.63 (step @p76 :rule cong :premises (@p75 @p74) :args (@t60)) % 0.46/0.63 (step @p77 :rule symm :premises (@p42)) % 0.46/0.63 (step @p78 :rule refl :args (tptp.multiplicative_identity)) % 0.46/0.63 (step @p79 :rule symm :premises (@p73)) % 0.46/0.63 (step @p80 :rule cong :premises (@p79 @p78) :args (@t27)) % 0.46/0.63 (step @p81 :rule trans :premises (@p80 @p77)) % 0.46/0.63 (step @p82 :rule symm :premises (@p19)) % 0.46/0.63 (step @p83 :rule symm :premises (@p23)) % 0.46/0.63 (step @p84 :rule refl :args (tptp.additive_identity)) % 0.46/0.63 (step @p85 :rule cong :premises (@p84 @p83) :args (@t39)) % 0.46/0.63 (step @p86 :rule symm :premises (@p29)) % 0.46/0.63 (step @p87 :rule refl :args (@t20)) % 0.46/0.63 (step @p88 :rule cong :premises (@p87 @p27) :args (@t37)) % 0.46/0.63 (step @p89 :rule symm :premises (@p11)) % 0.46/0.63 (step @p90 :rule trans :premises (@p89 @p28 @p88 @p86 @p85 @p82)) % 0.46/0.63 (step @p91 :rule cong :premises (@p65 @p90) :args (@t58)) % 0.46/0.63 (step @p92 :rule symm :premises (@p38)) % 0.46/0.63 (step @p93 :rule cong :premises (@p65 @p15) :args (@t41)) % 0.46/0.63 (step @p94 :rule trans :premises (@p30 @p93)) % 0.46/0.63 (step @p95 :rule trans :premises (@p79 @p94)) % 0.46/0.63 (step @p96 :rule cong :premises (@p95 @p94) :args (@t26)) % 0.46/0.63 (step @p97 :rule trans :premises (@p96 @p92 @p91 @p63)) % 0.46/0.63 (step @p98 :rule cong :premises (@p97 @p81) :args (@t65)) % 0.46/0.63 (step @p99 :rule refl :args (@t23)) % 0.46/0.63 (step @p100 :rule cong :premises (@p99 @p34) :args (@t52)) % 0.46/0.63 (step @p101 :rule symm :premises (@p66)) % 0.46/0.63 (step @p102 :rule trans :premises (@p30 @p101 @p33 @p35 @p100 @p40 @p41 @p98 @p39 @p76 @p36 @p69)) % 0.46/0.63 (step-pop @p149 :rule scope :premises (@p102)) % 0.46/0.63 (step-pop @p150 :rule scope :premises (@p149)) % 0.46/0.63 (step-pop @p151 :rule scope :premises (@p150)) % 0.46/0.63 (step-pop @p152 :rule scope :premises (@p151)) % 0.46/0.63 (step-pop @p153 :rule scope :premises (@p152)) % 0.46/0.63 (step-pop @p154 :rule scope :premises (@p153)) % 0.46/0.63 (step-pop @p155 :rule scope :premises (@p154)) % 0.46/0.63 (step-pop @p156 :rule scope :premises (@p155)) % 0.46/0.63 (step-pop @p157 :rule scope :premises (@p156)) % 0.46/0.63 (step-pop @p158 :rule scope :premises (@p157)) % 0.46/0.63 (step-pop @p159 :rule scope :premises (@p158)) % 0.46/0.63 (step-pop @p160 :rule scope :premises (@p159)) % 0.46/0.63 (step-pop @p161 :rule scope :premises (@p160)) % 0.46/0.63 (step-pop @p162 :rule scope :premises (@p161)) % 0.46/0.63 (step-pop @p163 :rule scope :premises (@p162)) % 0.46/0.63 (step-pop @p164 :rule scope :premises (@p163)) % 0.46/0.63 (step-pop @p165 :rule scope :premises (@p164)) % 0.46/0.63 (step-pop @p166 :rule scope :premises (@p165)) % 0.46/0.63 (step-pop @p167 :rule scope :premises (@p166)) % 0.46/0.63 (step-pop @p168 :rule scope :premises (@p167)) % 0.46/0.63 (step @p103 :rule process_scope :premises (@p168) :args (@t68)) % 0.46/0.63 (step @p124 :rule implies_elim :premises (@p103)) % 0.46/0.63 (step @p125 :rule cnf_and_neg :args (@t69)) % 0.46/0.63 (step @p126 :rule resolution :premises (@p125 @p124) :args (true @t69)) % 0.46/0.63 (step @p127 :rule reordering :premises (@p126) :args ((or @t68 (not @t30) (not @t31) (not @t32) (not @t34) (not @t36) (not @t38) (not @t40) (not @t42) (not @t44) (not @t46) (not @t49) (not @t51) (not @t53) (not @t55) (not @t56) (not @t59) (not @t62) (not @t64) (not @t66) (not @t67)))) % 0.46/0.63 (step @p128 false :rule chain_m_resolution :premises (@p127 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p23 @p19 @p15 @p11 @p10) :args (false (@list false false false false false false false false false false false false false false false false false false false false true) (@list @t67 @t66 @t64 @t62 @t59 @t56 @t55 @t53 @t51 @t49 @t46 @t44 @t42 @t40 @t38 @t36 @t34 @t32 @t31 @t30 @t68))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------