%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG007-4 : 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 : n017.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 08:45:20 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG007-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 13:54:01 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.a $$unsorted) % 0.37/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.additive_identity $$unsorted) % 0.37/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 0.37/0.59 (define @t3 () (@list @t1)) % 0.37/0.59 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.37/0.59 (define @t5 () (tptp.additive_inverse @t1)) % 0.37/0.59 (define @t6 () (tptp.add @t5 @t1)) % 0.37/0.59 (define @t7 () (forall @t3 (= @t6 tptp.additive_identity))) % 0.37/0.59 (define @t8 () (@var "Z" $$unsorted)) % 0.37/0.59 (define @t9 () (tptp.multiply @t1 @t8)) % 0.37/0.59 (define @t10 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t11 () (tptp.multiply @t1 @t10)) % 0.37/0.59 (define @t12 () (tptp.add @t10 @t8)) % 0.37/0.59 (define @t13 () (@list @t1 @t10 @t8)) % 0.37/0.59 (define @t14 () (tptp.multiply @t10 @t8)) % 0.37/0.59 (define @t15 () (tptp.add @t1 @t10)) % 0.37/0.59 (define @t16 () (tptp.additive_inverse tptp.additive_identity)) % 0.37/0.59 (define @t17 () (tptp.additive_inverse @t5)) % 0.37/0.59 (define @t18 () (forall @t3 (= @t17 @t1))) % 0.37/0.59 (define @t19 () (tptp.multiply @t1 tptp.additive_identity)) % 0.37/0.59 (define @t20 () (forall @t3 (= @t19 tptp.additive_identity))) % 0.37/0.59 (define @t21 () (tptp.multiply tptp.additive_identity @t1)) % 0.37/0.59 (define @t22 () (forall @t3 (= @t21 tptp.additive_identity))) % 0.37/0.59 (define @t23 () (tptp.additive_inverse @t10)) % 0.37/0.59 (define @t24 () (@list @t1 @t10)) % 0.37/0.59 (define @t25 () (tptp.additive_inverse @t11)) % 0.37/0.59 (define @t26 () (tptp.multiply @t5 @t10)) % 0.37/0.59 (define @t27 () (forall @t24 (= @t26 @t25))) % 0.37/0.59 (define @t28 () (tptp.multiply @t1 @t1)) % 0.37/0.59 (define @t29 () (forall @t3 (= @t28 @t1))) % 0.37/0.59 (define @t30 () (tptp.add tptp.a tptp.a)) % 0.37/0.59 (define @t31 () (@list tptp.additive_identity)) % 0.37/0.59 (define @t32 () (@list tptp.a)) % 0.37/0.59 (define @t33 () (tptp.additive_inverse tptp.a)) % 0.37/0.59 (define @t34 () (@list @t33 tptp.a)) % 0.37/0.59 (define @t35 () (@list @t33)) % 0.37/0.59 (define @t36 () (tptp.multiply @t33 tptp.a)) % 0.37/0.59 (define @t37 () (tptp.multiply tptp.a tptp.a)) % 0.37/0.59 (define @t38 () (@list @t33 @t33)) % 0.37/0.59 (define @t39 () (= tptp.additive_identity @t16)) % 0.37/0.59 (define @t40 () (= tptp.additive_identity (tptp.add @t16 tptp.additive_identity))) % 0.37/0.59 (define @t41 () (tptp.add @t33 tptp.a)) % 0.37/0.59 (define @t42 () (= tptp.additive_identity @t41)) % 0.37/0.59 (define @t43 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.37/0.59 (define @t44 () (= tptp.additive_identity @t43)) % 0.37/0.59 (define @t45 () (tptp.add tptp.additive_identity tptp.a)) % 0.37/0.59 (define @t46 () (= tptp.a @t45)) % 0.37/0.59 (define @t47 () (tptp.multiply tptp.additive_identity tptp.a)) % 0.37/0.59 (define @t48 () (tptp.multiply tptp.additive_identity @t33)) % 0.37/0.59 (define @t49 () (tptp.add @t48 @t47)) % 0.37/0.59 (define @t50 () (= (tptp.multiply tptp.additive_identity @t41) @t49)) % 0.37/0.59 (define @t51 () (tptp.add tptp.a @t33)) % 0.37/0.59 (define @t52 () (= @t41 @t51)) % 0.37/0.59 (define @t53 () (tptp.multiply tptp.additive_identity @t45)) % 0.37/0.59 (define @t54 () (= @t53 (tptp.add @t43 @t47))) % 0.37/0.59 (define @t55 () (tptp.add @t37 @t36)) % 0.37/0.59 (define @t56 () (= (tptp.multiply @t51 tptp.a) @t55)) % 0.37/0.59 (define @t57 () (tptp.additive_inverse @t33)) % 0.37/0.59 (define @t58 () (= tptp.a @t57)) % 0.37/0.59 (define @t59 () (= tptp.additive_identity @t48)) % 0.37/0.59 (define @t60 () (tptp.multiply @t36 tptp.a)) % 0.37/0.59 (define @t61 () (tptp.multiply @t37 tptp.a)) % 0.37/0.59 (define @t62 () (tptp.add @t61 @t60)) % 0.37/0.59 (define @t63 () (= (tptp.multiply @t55 tptp.a) @t62)) % 0.37/0.59 (define @t64 () (tptp.multiply tptp.a @t57)) % 0.37/0.59 (define @t65 () (= @t64 (tptp.additive_inverse (tptp.multiply tptp.a @t33)))) % 0.37/0.59 (define @t66 () (tptp.additive_inverse @t36)) % 0.37/0.59 (define @t67 () (tptp.multiply @t33 @t33)) % 0.37/0.59 (define @t68 () (= @t67 @t66)) % 0.37/0.59 (define @t69 () (tptp.additive_inverse @t67)) % 0.37/0.59 (define @t70 () (= (tptp.multiply @t33 @t57) @t69)) % 0.37/0.59 (define @t71 () (tptp.multiply @t57 @t33)) % 0.37/0.59 (define @t72 () (= @t69 @t71)) % 0.37/0.59 (define @t73 () (= tptp.a @t37)) % 0.37/0.59 (define @t74 () (= @t33 @t67)) % 0.37/0.59 (define @t75 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 0.37/0.59 (define @t76 () (= tptp.additive_identity @t30)) % 0.37/0.59 (define @t77 () (and @t39 @t40 @t42 @t44 @t46 @t50 @t52 @t54 @t56 @t58 @t59 @t63 @t65 @t68 @t70 @t72 @t73 @t74)) % 0.37/0.59 (assume @p1 @t4) % 0.37/0.59 (assume @p2 @t7) % 0.37/0.59 (assume @p3 (forall @t13 (= (tptp.multiply @t1 @t12) (tptp.add @t11 @t9)))) % 0.37/0.59 (assume @p4 (forall @t13 (= (tptp.multiply @t15 @t8) (tptp.add @t9 @t14)))) % 0.37/0.59 (assume @p5 (= @t16 tptp.additive_identity)) % 0.37/0.59 (assume @p6 @t18) % 0.37/0.59 (assume @p7 @t20) % 0.37/0.59 (assume @p8 @t22) % 0.37/0.59 (assume @p9 (forall @t24 (= (tptp.additive_inverse @t15) (tptp.add @t5 @t23)))) % 0.37/0.59 (assume @p10 (forall @t24 (= (tptp.multiply @t1 @t23) @t25))) % 0.37/0.59 (assume @p11 @t27) % 0.37/0.59 (assume @p12 (forall @t13 (= (tptp.add @t15 @t8) (tptp.add @t1 @t12)))) % 0.37/0.59 (assume @p13 (forall @t24 (= @t15 (tptp.add @t10 @t1)))) % 0.37/0.59 (assume @p14 (forall @t13 (= (tptp.multiply @t11 @t8) (tptp.multiply @t1 @t14)))) % 0.37/0.59 (assume @p15 @t29) % 0.37/0.59 (assume @p16 (not (= @t30 tptp.additive_identity))) % 0.37/0.59 (step @p17 :rule symm :premises (@p5)) % 0.37/0.59 (step @p18 :rule symm :premises (@p16)) % 0.37/0.59 (step @p19 :rule eq-symm :args (@t6 tptp.additive_identity)) % 0.37/0.59 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.37/0.59 (step @p21 :rule eq_resolve :premises (@p2 @p20)) % 0.37/0.59 (step @p22 :rule instantiate :premises (@p21) :args (@t31)) % 0.37/0.59 (step @p23 :rule instantiate :premises (@p21) :args (@t32)) % 0.37/0.59 (step @p24 :rule eq-symm :args (@t19 tptp.additive_identity)) % 0.37/0.59 (step @p25 :rule cong :premises (@p24) :args (@t20)) % 0.37/0.59 (step @p26 :rule eq_resolve :premises (@p7 @p25)) % 0.37/0.59 (step @p27 :rule instantiate :premises (@p26) :args (@t31)) % 0.37/0.59 (step @p28 :rule eq-symm :args (@t2 @t1)) % 0.37/0.59 (step @p29 :rule cong :premises (@p28) :args (@t4)) % 0.37/0.59 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.37/0.59 (step @p31 :rule instantiate :premises (@p30) :args (@t32)) % 0.37/0.59 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity @t33 tptp.a))) % 0.37/0.59 (step @p33 :rule instantiate :premises (@p13) :args (@t34)) % 0.37/0.59 (step @p34 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.a))) % 0.37/0.59 (step @p35 :rule instantiate :premises (@p4) :args ((@list tptp.a @t33 tptp.a))) % 0.37/0.59 (step @p36 :rule eq-symm :args (@t17 @t1)) % 0.37/0.59 (step @p37 :rule cong :premises (@p36) :args (@t18)) % 0.37/0.59 (step @p38 :rule eq_resolve :premises (@p6 @p37)) % 0.37/0.59 (step @p39 :rule instantiate :premises (@p38) :args (@t32)) % 0.37/0.59 (step @p40 :rule eq-symm :args (@t21 tptp.additive_identity)) % 0.37/0.59 (step @p41 :rule cong :premises (@p40) :args (@t22)) % 0.37/0.59 (step @p42 :rule eq_resolve :premises (@p8 @p41)) % 0.37/0.59 (step @p43 :rule instantiate :premises (@p42) :args (@t35)) % 0.37/0.59 (step @p44 :rule instantiate :premises (@p4) :args ((@list @t37 @t36 tptp.a))) % 0.37/0.59 (step @p45 :rule instantiate :premises (@p10) :args ((@list tptp.a @t33))) % 0.37/0.59 (step @p46 :rule instantiate :premises (@p10) :args (@t34)) % 0.37/0.59 (step @p47 :rule instantiate :premises (@p10) :args (@t38)) % 0.37/0.59 (step @p48 :rule eq-symm :args (@t26 @t25)) % 0.37/0.59 (step @p49 :rule cong :premises (@p48) :args (@t27)) % 0.37/0.59 (step @p50 :rule eq_resolve :premises (@p11 @p49)) % 0.37/0.59 (step @p51 :rule instantiate :premises (@p50) :args (@t38)) % 0.37/0.59 (step @p52 :rule eq-symm :args (@t28 @t1)) % 0.37/0.59 (step @p53 :rule cong :premises (@p52) :args (@t29)) % 0.37/0.59 (step @p54 :rule eq_resolve :premises (@p15 @p53)) % 0.37/0.59 (step @p55 :rule instantiate :premises (@p54) :args (@t32)) % 0.37/0.59 (step @p56 :rule instantiate :premises (@p54) :args (@t35)) % 0.37/0.59 (assume-push @p139 @t39) % 0.37/0.59 (assume-push @p140 @t40) % 0.37/0.59 (assume-push @p141 @t42) % 0.37/0.59 (assume-push @p142 @t44) % 0.37/0.59 (assume-push @p143 @t46) % 0.37/0.59 (assume-push @p144 @t50) % 0.37/0.59 (assume-push @p145 @t52) % 0.37/0.59 (assume-push @p146 @t54) % 0.37/0.59 (assume-push @p147 @t56) % 0.37/0.59 (assume-push @p148 @t58) % 0.37/0.59 (assume-push @p149 @t59) % 0.37/0.59 (assume-push @p150 @t63) % 0.37/0.59 (assume-push @p151 @t65) % 0.37/0.59 (assume-push @p152 @t68) % 0.37/0.59 (assume-push @p153 @t70) % 0.37/0.59 (assume-push @p154 @t72) % 0.37/0.59 (assume-push @p155 @t73) % 0.37/0.59 (assume-push @p156 @t74) % 0.37/0.59 (step @p75 :rule symm :premises (@p55)) % 0.37/0.59 (step @p76 :rule symm :premises (@p39)) % 0.37/0.59 (step @p77 :rule refl :args (tptp.a)) % 0.37/0.59 (step @p78 :rule cong :premises (@p77 @p76) :args (@t64)) % 0.37/0.59 (step @p79 :rule symm :premises (@p45)) % 0.37/0.59 (step @p80 :rule refl :args (@t33)) % 0.37/0.59 (step @p81 :rule cong :premises (@p76 @p80) :args (@t71)) % 0.37/0.59 (step @p82 :rule cong :premises (@p80 @p39) :args (@t36)) % 0.37/0.59 (step @p83 :rule trans :premises (@p82 @p47 @p51 @p81)) % 0.37/0.59 (step @p84 :rule cong :premises (@p83) :args (@t66)) % 0.37/0.59 (step @p85 :rule trans :premises (@p46 @p84 @p79 @p78 @p75)) % 0.37/0.59 (step @p86 :rule cong :premises (@p85) :args (@t69)) % 0.37/0.59 (step @p87 :rule trans :premises (@p82 @p47 @p86)) % 0.37/0.59 (step @p88 :rule cong :premises (@p87 @p77) :args (@t60)) % 0.37/0.59 (step @p89 :rule trans :premises (@p88 @p82 @p47 @p86 @p56 @p46 @p84 @p79 @p78 @p75)) % 0.37/0.59 (step @p90 :rule cong :premises (@p75 @p77) :args (@t61)) % 0.37/0.59 (step @p91 :rule trans :premises (@p90 @p75)) % 0.37/0.59 (step @p92 :rule cong :premises (@p91 @p89) :args (@t62)) % 0.37/0.59 (step @p93 :rule trans :premises (@p23 @p33)) % 0.37/0.59 (step @p94 :rule cong :premises (@p93 @p77) :args (@t47)) % 0.37/0.59 (step @p95 :rule symm :premises (@p31)) % 0.37/0.59 (step @p96 :rule refl :args (tptp.additive_identity)) % 0.37/0.59 (step @p97 :rule cong :premises (@p96 @p95) :args (@t53)) % 0.37/0.59 (step @p98 :rule symm :premises (@p34)) % 0.37/0.59 (step @p99 :rule refl :args (@t47)) % 0.37/0.59 (step @p100 :rule trans :premises (@p5 @p27)) % 0.37/0.59 (step @p101 :rule symm :premises (@p43)) % 0.37/0.59 (step @p102 :rule trans :premises (@p101 @p17)) % 0.37/0.59 (step @p103 :rule trans :premises (@p102 @p100)) % 0.37/0.59 (step @p104 :rule cong :premises (@p103 @p99) :args (@t49)) % 0.37/0.59 (step @p105 :rule symm :premises (@p22)) % 0.37/0.59 (step @p106 :rule cong :premises (@p17 @p96) :args (@t75)) % 0.37/0.59 (step @p107 :rule trans :premises (@p106 @p105 @p23)) % 0.37/0.59 (step @p108 :rule cong :premises (@p96 @p107) :args ((tptp.multiply tptp.additive_identity @t75))) % 0.37/0.59 (step @p109 :rule symm :premises (@p106)) % 0.37/0.59 (step @p110 :rule trans :premises (@p22 @p109)) % 0.37/0.59 (step @p111 :rule cong :premises (@p96 @p110) :args (@t43)) % 0.37/0.59 (step @p112 :rule trans :premises (@p27 @p111 @p108 @p32 @p104 @p98 @p97 @p94 @p35)) % 0.37/0.59 (step @p113 :rule cong :premises (@p112 @p77) :args (@t47)) % 0.37/0.59 (step @p114 :rule trans :premises (@p27 @p111 @p108 @p32 @p104 @p98 @p97 @p113 @p44 @p92)) % 0.37/0.59 (step-pop @p157 :rule scope :premises (@p114)) % 0.37/0.59 (step-pop @p158 :rule scope :premises (@p157)) % 0.37/0.59 (step-pop @p159 :rule scope :premises (@p158)) % 0.37/0.59 (step-pop @p160 :rule scope :premises (@p159)) % 0.37/0.59 (step-pop @p161 :rule scope :premises (@p160)) % 0.37/0.59 (step-pop @p162 :rule scope :premises (@p161)) % 0.37/0.59 (step-pop @p163 :rule scope :premises (@p162)) % 0.37/0.59 (step-pop @p164 :rule scope :premises (@p163)) % 0.37/0.59 (step-pop @p165 :rule scope :premises (@p164)) % 0.37/0.59 (step-pop @p166 :rule scope :premises (@p165)) % 0.37/0.59 (step-pop @p167 :rule scope :premises (@p166)) % 0.37/0.59 (step-pop @p168 :rule scope :premises (@p167)) % 0.37/0.59 (step-pop @p169 :rule scope :premises (@p168)) % 0.37/0.59 (step-pop @p170 :rule scope :premises (@p169)) % 0.37/0.59 (step-pop @p171 :rule scope :premises (@p170)) % 0.37/0.59 (step-pop @p172 :rule scope :premises (@p171)) % 0.37/0.59 (step-pop @p173 :rule scope :premises (@p172)) % 0.37/0.59 (step-pop @p174 :rule scope :premises (@p173)) % 0.37/0.59 (step @p115 :rule process_scope :premises (@p174) :args (@t76)) % 0.37/0.59 (step @p134 :rule implies_elim :premises (@p115)) % 0.37/0.59 (step @p135 :rule cnf_and_neg :args (@t77)) % 0.37/0.59 (step @p136 :rule resolution :premises (@p135 @p134) :args (true @t77)) % 0.37/0.59 (step @p137 :rule reordering :premises (@p136) :args ((or @t76 (not @t39) (not @t40) (not @t42) (not @t44) (not @t46) (not @t50) (not @t52) (not @t54) (not @t56) (not @t58) (not @t59) (not @t63) (not @t65) (not @t68) (not @t70) (not @t72) (not @t73) (not @t74)))) % 0.37/0.59 (step @p138 false :rule chain_m_resolution :premises (@p137 @p56 @p55 @p51 @p47 @p46 @p45 @p44 @p43 @p39 @p35 @p34 @p33 @p32 @p31 @p27 @p23 @p22 @p18 @p17) :args (false (@list false false false false false false false false false false false false false false false false false true false) (@list @t74 @t73 @t72 @t70 @t68 @t65 @t63 @t59 @t58 @t56 @t54 @t52 @t50 @t46 @t44 @t42 @t40 @t76 @t39))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------