%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG015-6 : TPTP v9.2.1. 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 : n013.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 08:45:22 AM UTC 2026 % Result : Unsatisfiable 29.42s 29.67s % Output : Proof 29.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : RNG015-6 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:56:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.70/16.00 --- Run --no-e-matching --full-saturate-quant at 6... % 21.71/22.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.85/28.06 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.42/29.67 % SZS status Unsatisfiable % 29.42/29.67 % SZS output start Proof % 29.42/29.67 ( % 29.42/29.67 (declare-sort $$unsorted 0) % 29.42/29.67 (declare-const tptp.y $$unsorted) % 29.42/29.67 (declare-const tptp.x $$unsorted) % 29.42/29.67 (declare-const tptp.z $$unsorted) % 29.42/29.67 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 29.42/29.67 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 29.42/29.67 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 29.42/29.67 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 29.42/29.67 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 29.42/29.67 (declare-const tptp.additive_identity $$unsorted) % 29.42/29.67 (define @t1 () (@var "X" $$unsorted)) % 29.42/29.67 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 29.42/29.67 (define @t3 () (@list @t1)) % 29.42/29.67 (define @t4 () (forall @t3 (= @t2 @t1))) % 29.42/29.67 (define @t5 () (tptp.add @t1 tptp.additive_identity)) % 29.42/29.67 (define @t6 () (forall @t3 (= @t5 @t1))) % 29.42/29.67 (define @t7 () (tptp.multiply @t1 tptp.additive_identity)) % 29.42/29.67 (define @t8 () (forall @t3 (= @t7 tptp.additive_identity))) % 29.42/29.67 (define @t9 () (tptp.additive_inverse @t1)) % 29.42/29.67 (define @t10 () (tptp.add @t9 @t1)) % 29.42/29.67 (define @t11 () (forall @t3 (= @t10 tptp.additive_identity))) % 29.42/29.67 (define @t12 () (tptp.add @t1 @t9)) % 29.42/29.67 (define @t13 () (forall @t3 (= @t12 tptp.additive_identity))) % 29.42/29.67 (define @t14 () (tptp.additive_inverse @t9)) % 29.42/29.67 (define @t15 () (forall @t3 (= @t14 @t1))) % 29.42/29.67 (define @t16 () (@var "Z" $$unsorted)) % 29.42/29.67 (define @t17 () (tptp.multiply @t1 @t16)) % 29.42/29.67 (define @t18 () (@var "Y" $$unsorted)) % 29.42/29.67 (define @t19 () (tptp.multiply @t1 @t18)) % 29.42/29.67 (define @t20 () (tptp.add @t18 @t16)) % 29.42/29.67 (define @t21 () (@list @t1 @t18 @t16)) % 29.42/29.67 (define @t22 () (tptp.multiply @t18 @t16)) % 29.42/29.67 (define @t23 () (tptp.add @t1 @t18)) % 29.42/29.67 (define @t24 () (@list @t1 @t18)) % 29.42/29.67 (define @t25 () (tptp.multiply tptp.x tptp.z)) % 29.42/29.67 (define @t26 () (tptp.additive_inverse @t25)) % 29.42/29.67 (define @t27 () (tptp.multiply tptp.x tptp.y)) % 29.42/29.67 (define @t28 () (tptp.add @t27 @t26)) % 29.42/29.67 (define @t29 () (tptp.additive_inverse tptp.z)) % 29.42/29.67 (define @t30 () (tptp.multiply tptp.x (tptp.add tptp.y @t29))) % 29.42/29.67 (define @t31 () (= @t30 @t28)) % 29.42/29.67 (define @t32 () (@list tptp.x)) % 29.42/29.67 (define @t33 () (tptp.additive_inverse tptp.x)) % 29.42/29.67 (define @t34 () (@list @t29)) % 29.42/29.67 (define @t35 () (tptp.multiply tptp.x @t29)) % 29.42/29.67 (define @t36 () (tptp.additive_inverse @t35)) % 29.42/29.67 (define @t37 () (tptp.add (tptp.multiply tptp.x tptp.x) (tptp.multiply tptp.x @t33))) % 29.42/29.67 (define @t38 () (tptp.add @t27 @t35)) % 29.42/29.67 (define @t39 () (= @t30 @t38)) % 29.42/29.67 (define @t40 () (= tptp.additive_identity (tptp.multiply tptp.x tptp.additive_identity))) % 29.42/29.67 (define @t41 () (tptp.add tptp.x @t33)) % 29.42/29.67 (define @t42 () (= tptp.additive_identity @t41)) % 29.42/29.67 (define @t43 () (tptp.add tptp.additive_identity @t27)) % 29.42/29.67 (define @t44 () (= @t27 @t43)) % 29.42/29.67 (define @t45 () (tptp.multiply tptp.x @t41)) % 29.42/29.67 (define @t46 () (= @t45 @t37)) % 29.42/29.67 (define @t47 () (tptp.add @t29 tptp.additive_identity)) % 29.42/29.67 (define @t48 () (= @t29 @t47)) % 29.42/29.67 (define @t49 () (tptp.add @t36 @t35)) % 29.42/29.67 (define @t50 () (= tptp.additive_identity @t49)) % 29.42/29.67 (define @t51 () (tptp.add @t35 @t36)) % 29.42/29.67 (define @t52 () (= @t49 @t51)) % 29.42/29.67 (define @t53 () (tptp.add @t35 @t27)) % 29.42/29.67 (define @t54 () (= @t38 @t53)) % 29.42/29.67 (define @t55 () (tptp.multiply tptp.x @t37)) % 29.42/29.67 (define @t56 () (tptp.add @t35 @t55)) % 29.42/29.67 (define @t57 () (= (tptp.multiply tptp.x (tptp.add @t29 @t37)) @t56)) % 29.42/29.67 (define @t58 () (= @t28 (tptp.add @t26 @t27))) % 29.42/29.67 (define @t59 () (tptp.additive_inverse @t29)) % 29.42/29.67 (define @t60 () (= tptp.z @t59)) % 29.42/29.67 (define @t61 () (= tptp.additive_identity (tptp.add @t59 @t29))) % 29.42/29.67 (define @t62 () (tptp.add @t25 @t35)) % 29.42/29.67 (define @t63 () (tptp.add tptp.z @t29)) % 29.42/29.67 (define @t64 () (tptp.multiply tptp.x @t63)) % 29.42/29.67 (define @t65 () (= @t64 @t62)) % 29.42/29.67 (define @t66 () (tptp.add @t51 @t35)) % 29.42/29.67 (define @t67 () (= (tptp.add @t35 @t49) @t66)) % 29.42/29.67 (define @t68 () (tptp.add @t26 @t25)) % 29.42/29.67 (define @t69 () (= tptp.additive_identity @t68)) % 29.42/29.67 (define @t70 () (tptp.add @t26 @t43)) % 29.42/29.67 (define @t71 () (= @t70 (tptp.add (tptp.add @t26 tptp.additive_identity) @t27))) % 29.42/29.67 (define @t72 () (tptp.add @t26 @t62)) % 29.42/29.67 (define @t73 () (= @t72 (tptp.add @t68 @t35))) % 29.42/29.67 (define @t74 () (and @t39 @t40 @t42 @t44 @t46 @t48 @t50 @t52 @t54 @t57 @t58 @t60 @t61 @t65 @t67 @t69 @t71 @t73)) % 29.42/29.67 (assume @p1 @t4) % 29.42/29.67 (assume @p2 @t6) % 29.42/29.67 (assume @p3 (forall @t3 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 29.42/29.67 (assume @p4 @t8) % 29.42/29.67 (assume @p5 @t11) % 29.42/29.67 (assume @p6 @t13) % 29.42/29.67 (assume @p7 @t15) % 29.42/29.67 (assume @p8 (forall @t21 (= (tptp.multiply @t1 @t20) (tptp.add @t19 @t17)))) % 29.42/29.67 (assume @p9 (forall @t21 (= (tptp.multiply @t23 @t16) (tptp.add @t17 @t22)))) % 29.42/29.67 (assume @p10 (forall @t24 (= @t23 (tptp.add @t18 @t1)))) % 29.42/29.67 (assume @p11 (forall @t21 (= (tptp.add @t1 @t20) (tptp.add @t23 @t16)))) % 29.42/29.67 (assume @p12 (forall @t24 (= (tptp.multiply @t19 @t18) (tptp.multiply @t1 (tptp.multiply @t18 @t18))))) % 29.42/29.67 (assume @p13 (forall @t24 (= (tptp.multiply (tptp.multiply @t1 @t1) @t18) (tptp.multiply @t1 @t19)))) % 29.42/29.67 (assume @p14 (forall @t21 (= (tptp.associator @t1 @t18 @t16) (tptp.add (tptp.multiply @t19 @t16) (tptp.additive_inverse (tptp.multiply @t1 @t22)))))) % 29.42/29.67 (assume @p15 (forall @t24 (= (tptp.commutator @t1 @t18) (tptp.add (tptp.multiply @t18 @t1) (tptp.additive_inverse @t19))))) % 29.42/29.67 (assume @p16 (not @t31)) % 29.42/29.67 (step @p17 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.y @t29))) % 29.42/29.67 (step @p18 :rule eq-symm :args (@t7 tptp.additive_identity)) % 29.42/29.67 (step @p19 :rule cong :premises (@p18) :args (@t8)) % 29.42/29.67 (step @p20 :rule eq_resolve :premises (@p4 @p19)) % 29.42/29.67 (step @p21 :rule instantiate :premises (@p20) :args (@t32)) % 29.42/29.67 (step @p22 :rule eq-symm :args (@t12 tptp.additive_identity)) % 29.42/29.67 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 29.42/29.67 (step @p24 :rule eq_resolve :premises (@p6 @p23)) % 29.42/29.67 (step @p25 :rule instantiate :premises (@p24) :args (@t32)) % 29.42/29.67 (step @p26 :rule eq-symm :args (@t2 @t1)) % 29.42/29.67 (step @p27 :rule cong :premises (@p26) :args (@t4)) % 29.42/29.67 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 29.42/29.67 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t27))) % 29.42/29.67 (step @p30 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.x @t33))) % 29.42/29.67 (step @p31 :rule eq-symm :args (@t5 @t1)) % 29.42/29.67 (step @p32 :rule cong :premises (@p31) :args (@t6)) % 29.42/29.67 (step @p33 :rule eq_resolve :premises (@p2 @p32)) % 29.42/29.67 (step @p34 :rule instantiate :premises (@p33) :args (@t34)) % 29.42/29.67 (step @p35 :rule eq-symm :args (@t10 tptp.additive_identity)) % 29.42/29.67 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 29.42/29.67 (step @p37 :rule eq_resolve :premises (@p5 @p36)) % 29.42/29.67 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t35))) % 29.42/29.67 (step @p39 :rule instantiate :premises (@p10) :args ((@list @t36 @t35))) % 29.42/29.67 (step @p40 :rule instantiate :premises (@p10) :args ((@list @t27 @t35))) % 29.42/29.67 (step @p41 :rule instantiate :premises (@p8) :args ((@list tptp.x @t29 @t37))) % 29.42/29.67 (step @p42 :rule instantiate :premises (@p10) :args ((@list @t27 @t26))) % 29.42/29.67 (step @p43 :rule eq-symm :args (@t14 @t1)) % 29.42/29.67 (step @p44 :rule cong :premises (@p43) :args (@t15)) % 29.42/29.67 (step @p45 :rule eq_resolve :premises (@p7 @p44)) % 29.42/29.67 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.z))) % 29.42/29.67 (step @p47 :rule instantiate :premises (@p37) :args (@t34)) % 29.42/29.67 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.z @t29))) % 29.42/29.67 (step @p49 :rule instantiate :premises (@p11) :args ((@list @t35 @t36 @t35))) % 29.42/29.67 (step @p50 :rule instantiate :premises (@p37) :args ((@list @t25))) % 29.42/29.67 (step @p51 :rule instantiate :premises (@p11) :args ((@list @t26 tptp.additive_identity @t27))) % 29.42/29.67 (step @p52 :rule instantiate :premises (@p11) :args ((@list @t26 @t25 @t35))) % 29.42/29.67 (assume-push @p132 @t39) % 29.42/29.67 (assume-push @p133 @t40) % 29.42/29.67 (assume-push @p134 @t42) % 29.42/29.67 (assume-push @p135 @t44) % 29.42/29.67 (assume-push @p136 @t46) % 29.42/29.67 (assume-push @p137 @t48) % 29.42/29.67 (assume-push @p138 @t50) % 29.42/29.67 (assume-push @p139 @t52) % 29.42/29.67 (assume-push @p140 @t54) % 29.42/29.67 (assume-push @p141 @t57) % 29.42/29.67 (assume-push @p142 @t58) % 29.42/29.67 (assume-push @p143 @t60) % 29.42/29.67 (assume-push @p144 @t61) % 29.42/29.67 (assume-push @p145 @t65) % 29.42/29.67 (assume-push @p146 @t67) % 29.42/29.67 (assume-push @p147 @t69) % 29.42/29.67 (assume-push @p148 @t71) % 29.42/29.67 (assume-push @p149 @t73) % 29.42/29.67 (step @p71 :rule symm :premises (@p42)) % 29.42/29.67 (step @p72 :rule symm :premises (@p29)) % 29.42/29.67 (step @p73 :rule refl :args (@t26)) % 29.42/29.67 (step @p74 :rule cong :premises (@p73 @p72) :args (@t70)) % 29.42/29.67 (step @p75 :rule symm :premises (@p51)) % 29.42/29.67 (step @p76 :rule refl :args (@t27)) % 29.42/29.67 (step @p77 :rule symm :premises (@p21)) % 29.42/29.67 (step @p78 :rule symm :premises (@p47)) % 29.42/29.67 (step @p79 :rule refl :args (@t29)) % 29.42/29.67 (step @p80 :rule cong :premises (@p46 @p79) :args (@t63)) % 29.42/29.67 (step @p81 :rule trans :premises (@p80 @p78)) % 29.42/29.67 (step @p82 :rule refl :args (tptp.x)) % 29.42/29.67 (step @p83 :rule cong :premises (@p82 @p81) :args (@t64)) % 29.42/29.67 (step @p84 :rule symm :premises (@p48)) % 29.42/29.67 (step @p85 :rule trans :premises (@p84 @p83 @p77)) % 29.42/29.67 (step @p86 :rule cong :premises (@p73 @p85) :args (@t72)) % 29.42/29.67 (step @p87 :rule symm :premises (@p52)) % 29.42/29.67 (step @p88 :rule refl :args (@t35)) % 29.42/29.67 (step @p89 :rule cong :premises (@p50 @p88) :args ((tptp.add tptp.additive_identity @t35))) % 29.42/29.67 (step @p90 :rule symm :premises (@p38)) % 29.42/29.67 (step @p91 :rule symm :premises (@p39)) % 29.42/29.67 (step @p92 :rule trans :premises (@p91 @p90)) % 29.42/29.67 (step @p93 :rule cong :premises (@p92 @p88) :args (@t66)) % 29.42/29.67 (step @p94 :rule symm :premises (@p25)) % 29.42/29.67 (step @p95 :rule cong :premises (@p82 @p94) :args (@t45)) % 29.42/29.67 (step @p96 :rule symm :premises (@p30)) % 29.42/29.67 (step @p97 :rule trans :premises (@p96 @p95 @p77)) % 29.42/29.67 (step @p98 :rule cong :premises (@p82 @p97) :args (@t55)) % 29.42/29.67 (step @p99 :rule trans :premises (@p98 @p77 @p38)) % 29.42/29.67 (step @p100 :rule cong :premises (@p88 @p99) :args (@t56)) % 29.42/29.67 (step @p101 :rule symm :premises (@p97)) % 29.42/29.67 (step @p102 :rule cong :premises (@p79 @p101) :args (@t47)) % 29.42/29.67 (step @p103 :rule trans :premises (@p34 @p102)) % 29.42/29.67 (step @p104 :rule cong :premises (@p82 @p103) :args (@t35)) % 29.42/29.67 (step @p105 :rule trans :premises (@p104 @p41 @p100 @p49 @p93 @p89 @p87 @p86)) % 29.42/29.67 (step @p106 :rule cong :premises (@p105 @p76) :args (@t53)) % 29.42/29.67 (step @p107 :rule trans :premises (@p17 @p40 @p106 @p75 @p74 @p71)) % 29.42/29.67 (step-pop @p150 :rule scope :premises (@p107)) % 29.42/29.67 (step-pop @p151 :rule scope :premises (@p150)) % 29.42/29.67 (step-pop @p152 :rule scope :premises (@p151)) % 29.42/29.67 (step-pop @p153 :rule scope :premises (@p152)) % 29.42/29.67 (step-pop @p154 :rule scope :premises (@p153)) % 29.42/29.67 (step-pop @p155 :rule scope :premises (@p154)) % 29.42/29.67 (step-pop @p156 :rule scope :premises (@p155)) % 29.42/29.67 (step-pop @p157 :rule scope :premises (@p156)) % 29.42/29.67 (step-pop @p158 :rule scope :premises (@p157)) % 29.42/29.67 (step-pop @p159 :rule scope :premises (@p158)) % 29.42/29.67 (step-pop @p160 :rule scope :premises (@p159)) % 29.42/29.67 (step-pop @p161 :rule scope :premises (@p160)) % 29.42/29.67 (step-pop @p162 :rule scope :premises (@p161)) % 29.42/29.67 (step-pop @p163 :rule scope :premises (@p162)) % 29.42/29.67 (step-pop @p164 :rule scope :premises (@p163)) % 29.42/29.67 (step-pop @p165 :rule scope :premises (@p164)) % 29.42/29.67 (step-pop @p166 :rule scope :premises (@p165)) % 29.42/29.67 (step-pop @p167 :rule scope :premises (@p166)) % 29.42/29.67 (step @p108 :rule process_scope :premises (@p167) :args (@t31)) % 29.42/29.67 (step @p127 :rule implies_elim :premises (@p108)) % 29.42/29.67 (step @p128 :rule cnf_and_neg :args (@t74)) % 29.42/29.67 (step @p129 :rule resolution :premises (@p128 @p127) :args (true @t74)) % 29.42/29.67 (step @p130 :rule reordering :premises (@p129) :args ((or @t31 (not @t39) (not @t40) (not @t42) (not @t44) (not @t46) (not @t48) (not @t50) (not @t52) (not @t54) (not @t57) (not @t58) (not @t60) (not @t61) (not @t65) (not @t67) (not @t69) (not @t71) (not @t73)))) % 29.42/29.67 (step @p131 false :rule chain_m_resolution :premises (@p130 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p42 @p41 @p40 @p39 @p38 @p34 @p30 @p29 @p25 @p21 @p17 @p16) :args (false (@list false false false false false false false false false false false false false false false false false false true) (@list @t73 @t71 @t69 @t67 @t65 @t61 @t60 @t58 @t57 @t54 @t52 @t50 @t48 @t46 @t44 @t42 @t40 @t39 @t31))) % 29.42/29.67 ) % 29.42/29.67 % SZS output end Proof % 29.42/29.68 % cvc5 exiting %------------------------------------------------------------------------------