%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG018-6 : TPTP v9.2.1. 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 : n023.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 08:45:23 AM UTC 2026 % Result : Unsatisfiable 204.39s 204.62s % Output : Proof 204.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG018-6 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:57:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.73/15.97 --- Run --no-e-matching --full-saturate-quant at 6... % 21.74/21.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.84/28.05 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.96/34.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.10/64.36 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.30/79.59 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.49/112.77 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.69/127.91 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.82/158.08 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.99/173.23 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.08/203.39 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.39/204.62 % SZS status Unsatisfiable % 204.39/204.62 % SZS output start Proof % 204.39/204.62 ( % 204.39/204.62 (declare-sort $$unsorted 0) % 204.39/204.62 (declare-const tptp.x $$unsorted) % 204.39/204.62 (declare-const tptp.y $$unsorted) % 204.39/204.62 (declare-const tptp.z $$unsorted) % 204.39/204.62 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 204.39/204.62 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.39/204.62 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 204.39/204.62 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 204.39/204.62 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 204.39/204.62 (declare-const tptp.additive_identity $$unsorted) % 204.39/204.62 (define @t1 () (@var "X" $$unsorted)) % 204.39/204.62 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 204.39/204.62 (define @t3 () (@list @t1)) % 204.39/204.62 (define @t4 () (forall @t3 (= @t2 @t1))) % 204.39/204.62 (define @t5 () (tptp.multiply @t1 tptp.additive_identity)) % 204.39/204.62 (define @t6 () (forall @t3 (= @t5 tptp.additive_identity))) % 204.39/204.62 (define @t7 () (tptp.additive_inverse @t1)) % 204.39/204.62 (define @t8 () (tptp.add @t7 @t1)) % 204.39/204.62 (define @t9 () (forall @t3 (= @t8 tptp.additive_identity))) % 204.39/204.62 (define @t10 () (tptp.add @t1 @t7)) % 204.39/204.62 (define @t11 () (forall @t3 (= @t10 tptp.additive_identity))) % 204.39/204.62 (define @t12 () (tptp.additive_inverse @t7)) % 204.39/204.62 (define @t13 () (forall @t3 (= @t12 @t1))) % 204.39/204.62 (define @t14 () (@var "Z" $$unsorted)) % 204.39/204.62 (define @t15 () (tptp.multiply @t1 @t14)) % 204.39/204.62 (define @t16 () (@var "Y" $$unsorted)) % 204.39/204.62 (define @t17 () (tptp.multiply @t1 @t16)) % 204.39/204.62 (define @t18 () (tptp.add @t16 @t14)) % 204.39/204.62 (define @t19 () (@list @t1 @t16 @t14)) % 204.39/204.62 (define @t20 () (tptp.multiply @t16 @t14)) % 204.39/204.62 (define @t21 () (tptp.add @t1 @t16)) % 204.39/204.62 (define @t22 () (@list @t1 @t16)) % 204.39/204.62 (define @t23 () (tptp.multiply tptp.y tptp.z)) % 204.39/204.62 (define @t24 () (tptp.additive_inverse @t23)) % 204.39/204.62 (define @t25 () (tptp.multiply tptp.x tptp.z)) % 204.39/204.62 (define @t26 () (tptp.additive_inverse @t25)) % 204.39/204.62 (define @t27 () (tptp.additive_inverse tptp.z)) % 204.39/204.62 (define @t28 () (tptp.add tptp.x tptp.y)) % 204.39/204.62 (define @t29 () (tptp.multiply @t28 @t27)) % 204.39/204.62 (define @t30 () (= @t29 (tptp.add @t26 @t24))) % 204.39/204.62 (define @t31 () (@list @t26)) % 204.39/204.62 (define @t32 () (tptp.additive_inverse @t26)) % 204.39/204.62 (define @t33 () (tptp.add @t29 @t25)) % 204.39/204.62 (define @t34 () (tptp.add @t25 @t23)) % 204.39/204.62 (define @t35 () (tptp.multiply @t28 tptp.z)) % 204.39/204.62 (define @t36 () (= @t35 @t34)) % 204.39/204.62 (define @t37 () (= @t25 @t32)) % 204.39/204.62 (define @t38 () (tptp.add @t32 @t26)) % 204.39/204.62 (define @t39 () (= tptp.additive_identity @t38)) % 204.39/204.62 (define @t40 () (tptp.add @t23 @t24)) % 204.39/204.62 (define @t41 () (= tptp.additive_identity @t40)) % 204.39/204.62 (define @t42 () (tptp.add @t26 @t32)) % 204.39/204.62 (define @t43 () (= tptp.additive_identity @t42)) % 204.39/204.62 (define @t44 () (tptp.add @t27 tptp.z)) % 204.39/204.62 (define @t45 () (tptp.multiply @t28 @t44)) % 204.39/204.62 (define @t46 () (= @t45 (tptp.add @t29 @t35))) % 204.39/204.62 (define @t47 () (= tptp.additive_identity (tptp.multiply @t28 tptp.additive_identity))) % 204.39/204.62 (define @t48 () (= tptp.additive_identity @t44)) % 204.39/204.62 (define @t49 () (tptp.add tptp.additive_identity @t24)) % 204.39/204.62 (define @t50 () (= @t24 @t49)) % 204.39/204.62 (define @t51 () (tptp.add @t33 @t23)) % 204.39/204.62 (define @t52 () (tptp.add @t29 @t34)) % 204.39/204.62 (define @t53 () (= @t52 @t51)) % 204.39/204.62 (define @t54 () (tptp.add @t25 @t29)) % 204.39/204.62 (define @t55 () (= @t33 @t54)) % 204.39/204.62 (define @t56 () (tptp.add @t29 @t23)) % 204.39/204.62 (define @t57 () (tptp.add @t56 @t24)) % 204.39/204.62 (define @t58 () (= (tptp.add @t29 @t40) @t57)) % 204.39/204.62 (define @t59 () (tptp.add @t26 @t54)) % 204.39/204.62 (define @t60 () (= @t59 (tptp.add (tptp.add @t26 @t25) @t29))) % 204.39/204.62 (define @t61 () (tptp.add @t29 @t38)) % 204.39/204.62 (define @t62 () (= @t61 (tptp.add (tptp.add @t29 @t32) @t26))) % 204.39/204.62 (define @t63 () (tptp.add @t26 @t33)) % 204.39/204.62 (define @t64 () (tptp.add @t33 @t26)) % 204.39/204.62 (define @t65 () (= @t64 @t63)) % 204.39/204.62 (define @t66 () (tptp.add tptp.additive_identity @t29)) % 204.39/204.62 (define @t67 () (= @t29 @t66)) % 204.39/204.62 (define @t68 () (tptp.add @t26 @t49)) % 204.39/204.62 (define @t69 () (= @t68 (tptp.add (tptp.add @t26 tptp.additive_identity) @t24))) % 204.39/204.62 (define @t70 () (tptp.add @t26 @t51)) % 204.39/204.62 (define @t71 () (= @t70 (tptp.add @t63 @t23))) % 204.39/204.62 (define @t72 () (and @t36 @t37 @t39 @t41 @t43 @t46 @t47 @t48 @t50 @t53 @t55 @t58 @t60 @t62 @t65 @t67 @t69 @t71)) % 204.39/204.62 (assume @p1 @t4) % 204.39/204.62 (assume @p2 (forall @t3 (= (tptp.add @t1 tptp.additive_identity) @t1))) % 204.39/204.62 (assume @p3 (forall @t3 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 204.39/204.62 (assume @p4 @t6) % 204.39/204.62 (assume @p5 @t9) % 204.39/204.62 (assume @p6 @t11) % 204.39/204.62 (assume @p7 @t13) % 204.39/204.62 (assume @p8 (forall @t19 (= (tptp.multiply @t1 @t18) (tptp.add @t17 @t15)))) % 204.39/204.62 (assume @p9 (forall @t19 (= (tptp.multiply @t21 @t14) (tptp.add @t15 @t20)))) % 204.39/204.62 (assume @p10 (forall @t22 (= @t21 (tptp.add @t16 @t1)))) % 204.39/204.62 (assume @p11 (forall @t19 (= (tptp.add @t1 @t18) (tptp.add @t21 @t14)))) % 204.39/204.62 (assume @p12 (forall @t22 (= (tptp.multiply @t17 @t16) (tptp.multiply @t1 (tptp.multiply @t16 @t16))))) % 204.39/204.62 (assume @p13 (forall @t22 (= (tptp.multiply (tptp.multiply @t1 @t1) @t16) (tptp.multiply @t1 @t17)))) % 204.39/204.62 (assume @p14 (forall @t19 (= (tptp.associator @t1 @t16 @t14) (tptp.add (tptp.multiply @t17 @t14) (tptp.additive_inverse (tptp.multiply @t1 @t20)))))) % 204.39/204.62 (assume @p15 (forall @t22 (= (tptp.commutator @t1 @t16) (tptp.add (tptp.multiply @t16 @t1) (tptp.additive_inverse @t17))))) % 204.39/204.62 (assume @p16 (not @t30)) % 204.39/204.62 (step @p17 :rule instantiate :premises (@p9) :args ((@list tptp.x tptp.y tptp.z))) % 204.39/204.62 (step @p18 :rule eq-symm :args (@t12 @t1)) % 204.39/204.62 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 204.39/204.62 (step @p20 :rule eq_resolve :premises (@p7 @p19)) % 204.39/204.62 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t25))) % 204.39/204.62 (step @p22 :rule eq-symm :args (@t8 tptp.additive_identity)) % 204.39/204.62 (step @p23 :rule cong :premises (@p22) :args (@t9)) % 204.39/204.62 (step @p24 :rule eq_resolve :premises (@p5 @p23)) % 204.39/204.62 (step @p25 :rule instantiate :premises (@p24) :args (@t31)) % 204.39/204.62 (step @p26 :rule eq-symm :args (@t10 tptp.additive_identity)) % 204.39/204.62 (step @p27 :rule cong :premises (@p26) :args (@t11)) % 204.39/204.62 (step @p28 :rule eq_resolve :premises (@p6 @p27)) % 204.39/204.62 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t23))) % 204.39/204.62 (step @p30 :rule instantiate :premises (@p28) :args (@t31)) % 204.39/204.62 (step @p31 :rule instantiate :premises (@p8) :args ((@list @t28 @t27 tptp.z))) % 204.39/204.62 (step @p32 :rule eq-symm :args (@t5 tptp.additive_identity)) % 204.39/204.62 (step @p33 :rule cong :premises (@p32) :args (@t6)) % 204.39/204.62 (step @p34 :rule eq_resolve :premises (@p4 @p33)) % 204.39/204.62 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t28))) % 204.39/204.62 (step @p36 :rule eq-symm :args (@t2 @t1)) % 204.39/204.62 (step @p37 :rule cong :premises (@p36) :args (@t4)) % 204.39/204.62 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 204.39/204.62 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t24))) % 204.39/204.62 (step @p40 :rule instantiate :premises (@p11) :args ((@list @t29 @t25 @t23))) % 204.39/204.62 (step @p41 :rule instantiate :premises (@p10) :args ((@list @t29 @t25))) % 204.39/204.62 (step @p42 :rule instantiate :premises (@p24) :args ((@list tptp.z))) % 204.39/204.62 (step @p43 :rule instantiate :premises (@p11) :args ((@list @t29 @t23 @t24))) % 204.39/204.62 (step @p44 :rule instantiate :premises (@p11) :args ((@list @t26 @t25 @t29))) % 204.39/204.62 (step @p45 :rule instantiate :premises (@p11) :args ((@list @t29 @t32 @t26))) % 204.39/204.62 (step @p46 :rule instantiate :premises (@p10) :args ((@list @t33 @t26))) % 204.39/204.62 (step @p47 :rule instantiate :premises (@p38) :args ((@list @t29))) % 204.39/204.62 (step @p48 :rule instantiate :premises (@p11) :args ((@list @t26 tptp.additive_identity @t24))) % 204.39/204.62 (step @p49 :rule instantiate :premises (@p11) :args ((@list @t26 @t33 @t23))) % 204.39/204.62 (assume-push @p130 @t36) % 204.39/204.62 (assume-push @p131 @t37) % 204.39/204.62 (assume-push @p132 @t39) % 204.39/204.62 (assume-push @p133 @t41) % 204.39/204.62 (assume-push @p134 @t43) % 204.39/204.62 (assume-push @p135 @t46) % 204.39/204.62 (assume-push @p136 @t47) % 204.39/204.62 (assume-push @p137 @t48) % 204.39/204.62 (assume-push @p138 @t50) % 204.39/204.62 (assume-push @p139 @t53) % 204.39/204.62 (assume-push @p140 @t55) % 204.39/204.62 (assume-push @p141 @t58) % 204.39/204.62 (assume-push @p142 @t60) % 204.39/204.62 (assume-push @p143 @t62) % 204.39/204.62 (assume-push @p144 @t65) % 204.39/204.62 (assume-push @p145 @t67) % 204.39/204.62 (assume-push @p146 @t69) % 204.39/204.62 (assume-push @p147 @t71) % 204.39/204.62 (step @p68 :rule symm :premises (@p39)) % 204.39/204.62 (step @p69 :rule refl :args (@t26)) % 204.39/204.62 (step @p70 :rule cong :premises (@p69 @p68) :args (@t68)) % 204.39/204.62 (step @p71 :rule symm :premises (@p48)) % 204.39/204.62 (step @p72 :rule refl :args (@t24)) % 204.39/204.62 (step @p73 :rule symm :premises (@p35)) % 204.39/204.62 (step @p74 :rule symm :premises (@p42)) % 204.39/204.62 (step @p75 :rule refl :args (@t28)) % 204.39/204.62 (step @p76 :rule cong :premises (@p75 @p74) :args (@t45)) % 204.39/204.62 (step @p77 :rule symm :premises (@p31)) % 204.39/204.62 (step @p78 :rule symm :premises (@p17)) % 204.39/204.62 (step @p79 :rule refl :args (@t29)) % 204.39/204.62 (step @p80 :rule cong :premises (@p79 @p78) :args (@t52)) % 204.39/204.62 (step @p81 :rule symm :premises (@p40)) % 204.39/204.62 (step @p82 :rule trans :premises (@p81 @p80 @p77 @p76 @p73)) % 204.39/204.62 (step @p83 :rule cong :premises (@p69 @p82) :args (@t70)) % 204.39/204.62 (step @p84 :rule symm :premises (@p49)) % 204.39/204.62 (step @p85 :rule refl :args (@t23)) % 204.39/204.62 (step @p86 :rule symm :premises (@p46)) % 204.39/204.62 (step @p87 :rule symm :premises (@p41)) % 204.39/204.62 (step @p88 :rule cong :premises (@p69 @p87) :args (@t59)) % 204.39/204.62 (step @p89 :rule symm :premises (@p44)) % 204.39/204.62 (step @p90 :rule symm :premises (@p21)) % 204.39/204.62 (step @p91 :rule cong :premises (@p69 @p90) :args (@t42)) % 204.39/204.62 (step @p92 :rule trans :premises (@p30 @p91)) % 204.39/204.62 (step @p93 :rule cong :premises (@p92 @p79) :args (@t66)) % 204.39/204.62 (step @p94 :rule trans :premises (@p47 @p93 @p89 @p88 @p86)) % 204.39/204.62 (step @p95 :rule trans :premises (@p94 @p46)) % 204.39/204.62 (step @p96 :rule cong :premises (@p95 @p85) :args (@t56)) % 204.39/204.62 (step @p97 :rule trans :premises (@p96 @p84 @p83)) % 204.39/204.62 (step @p98 :rule cong :premises (@p97 @p72) :args (@t57)) % 204.39/204.62 (step @p99 :rule symm :premises (@p25)) % 204.39/204.62 (step @p100 :rule trans :premises (@p99 @p29)) % 204.39/204.62 (step @p101 :rule cong :premises (@p79 @p100) :args (@t61)) % 204.39/204.62 (step @p102 :rule symm :premises (@p45)) % 204.39/204.62 (step @p103 :rule cong :premises (@p79 @p21) :args (@t33)) % 204.39/204.62 (step @p104 :rule cong :premises (@p103 @p69) :args (@t64)) % 204.39/204.62 (step @p105 :rule trans :premises (@p47 @p93 @p89 @p88 @p86 @p104 @p102 @p101 @p43 @p98 @p71 @p70)) % 204.39/204.62 (step-pop @p148 :rule scope :premises (@p105)) % 204.39/204.62 (step-pop @p149 :rule scope :premises (@p148)) % 204.39/204.62 (step-pop @p150 :rule scope :premises (@p149)) % 204.39/204.62 (step-pop @p151 :rule scope :premises (@p150)) % 204.39/204.62 (step-pop @p152 :rule scope :premises (@p151)) % 204.39/204.62 (step-pop @p153 :rule scope :premises (@p152)) % 204.39/204.62 (step-pop @p154 :rule scope :premises (@p153)) % 204.39/204.62 (step-pop @p155 :rule scope :premises (@p154)) % 204.39/204.62 (step-pop @p156 :rule scope :premises (@p155)) % 204.39/204.62 (step-pop @p157 :rule scope :premises (@p156)) % 204.39/204.62 (step-pop @p158 :rule scope :premises (@p157)) % 204.39/204.62 (step-pop @p159 :rule scope :premises (@p158)) % 204.39/204.62 (step-pop @p160 :rule scope :premises (@p159)) % 204.39/204.62 (step-pop @p161 :rule scope :premises (@p160)) % 204.39/204.62 (step-pop @p162 :rule scope :premises (@p161)) % 204.39/204.62 (step-pop @p163 :rule scope :premises (@p162)) % 204.39/204.62 (step-pop @p164 :rule scope :premises (@p163)) % 204.39/204.62 (step-pop @p165 :rule scope :premises (@p164)) % 204.39/204.62 (step @p106 :rule process_scope :premises (@p165) :args (@t30)) % 204.39/204.62 (step @p125 :rule implies_elim :premises (@p106)) % 204.39/204.62 (step @p126 :rule cnf_and_neg :args (@t72)) % 204.39/204.62 (step @p127 :rule resolution :premises (@p126 @p125) :args (true @t72)) % 204.39/204.62 (step @p128 :rule reordering :premises (@p127) :args ((or @t30 (not @t36) (not @t37) (not @t39) (not @t41) (not @t43) (not @t46) (not @t47) (not @t50) (not @t53) (not @t55) (not @t48) (not @t58) (not @t60) (not @t62) (not @t65) (not @t67) (not @t69) (not @t71)))) % 204.39/204.62 (step @p129 false :rule chain_m_resolution :premises (@p128 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p35 @p31 @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 @t71 @t69 @t67 @t65 @t62 @t60 @t58 @t48 @t55 @t53 @t50 @t47 @t46 @t43 @t41 @t39 @t37 @t36 @t30))) % 204.39/204.62 ) % 204.39/204.63 % SZS output end Proof % 204.39/204.63 % cvc5 exiting %------------------------------------------------------------------------------