%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG004-2 : 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 : n020.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 08:45:19 AM UTC 2026 % Result : Unsatisfiable 28.19s 28.43s % Output : Proof 28.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG004-2 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 13:54:55 EDT 2026 % 0.13/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.29/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 21.28/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.40/27.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.19/28.43 % SZS status Unsatisfiable % 28.19/28.43 % SZS output start Proof % 28.19/28.43 ( % 28.19/28.43 (declare-sort $$unsorted 0) % 28.19/28.43 (declare-const tptp.d $$unsorted) % 28.19/28.43 (declare-const tptp.c $$unsorted) % 28.19/28.43 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 28.19/28.43 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 28.19/28.43 (declare-const tptp.b $$unsorted) % 28.19/28.43 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.19/28.43 (declare-const tptp.a $$unsorted) % 28.19/28.43 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 28.19/28.43 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.19/28.43 (declare-const tptp.additive_identity $$unsorted) % 28.19/28.43 (define @t1 () (@var "X" $$unsorted)) % 28.19/28.43 (define @t2 () (@list @t1)) % 28.19/28.43 (define @t3 () (@var "Y" $$unsorted)) % 28.19/28.43 (define @t4 () (@list @t1 @t3)) % 28.19/28.43 (define @t5 () (tptp.additive_inverse @t1)) % 28.19/28.43 (define @t6 () (@var "W" $$unsorted)) % 28.19/28.43 (define @t7 () (@var "V" $$unsorted)) % 28.19/28.43 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 28.19/28.43 (define @t9 () (@var "Z" $$unsorted)) % 28.19/28.43 (define @t10 () (@var "U" $$unsorted)) % 28.19/28.43 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 28.19/28.43 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 28.19/28.43 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 28.19/28.43 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 28.19/28.43 (define @t15 () (not (tptp.sum @t1 @t3 @t9))) % 28.19/28.43 (define @t16 () (tptp.product @t1 @t7 @t6)) % 28.19/28.43 (define @t17 () (tptp.product @t10 @t9 @t6)) % 28.19/28.43 (define @t18 () (not (tptp.product @t3 @t9 @t7))) % 28.19/28.43 (define @t19 () (not (tptp.product @t1 @t3 @t10))) % 28.19/28.43 (define @t20 () (@var "V4" $$unsorted)) % 28.19/28.43 (define @t21 () (@var "V2" $$unsorted)) % 28.19/28.43 (define @t22 () (@var "V1" $$unsorted)) % 28.19/28.43 (define @t23 () (tptp.sum @t22 @t21 @t20)) % 28.19/28.43 (define @t24 () (@var "V3" $$unsorted)) % 28.19/28.43 (define @t25 () (tptp.product @t1 @t24 @t20)) % 28.19/28.43 (define @t26 () (not (tptp.sum @t3 @t9 @t24))) % 28.19/28.43 (define @t27 () (not (tptp.product @t1 @t9 @t21))) % 28.19/28.43 (define @t28 () (not (tptp.product @t1 @t3 @t22))) % 28.19/28.43 (define @t29 () (@list @t1 @t3 @t22 @t9 @t21 @t24 @t20)) % 28.19/28.43 (define @t30 () (not @t23)) % 28.19/28.43 (define @t31 () (tptp.product @t24 @t1 @t20)) % 28.19/28.43 (define @t32 () (not (tptp.product @t9 @t1 @t21))) % 28.19/28.43 (define @t33 () (not (tptp.product @t3 @t1 @t22))) % 28.19/28.43 (define @t34 () (@list @t3 @t1 @t22 @t9 @t21 @t24 @t20)) % 28.19/28.43 (define @t35 () (= @t10 @t7)) % 28.19/28.43 (define @t36 () (@list @t1 @t3 @t10 @t7)) % 28.19/28.43 (define @t37 () (@list @t1 @t3 @t9 @t6)) % 28.19/28.43 (define @t38 () (forall @t37 (or @t15 (not (tptp.sum @t1 @t6 @t9)) (= @t3 @t6)))) % 28.19/28.43 (define @t39 () (forall @t37 (or @t15 (not (tptp.sum @t6 @t3 @t9)) (= @t1 @t6)))) % 28.19/28.43 (define @t40 () (tptp.product tptp.a tptp.b tptp.c)) % 28.19/28.43 (define @t41 () (tptp.additive_inverse tptp.b)) % 28.19/28.43 (define @t42 () (tptp.additive_inverse tptp.a)) % 28.19/28.43 (define @t43 () (tptp.product @t42 @t41 tptp.d)) % 28.19/28.43 (define @t44 () (= tptp.c tptp.d)) % 28.19/28.43 (define @t45 () (tptp.multiply @t42 tptp.additive_identity)) % 28.19/28.43 (define @t46 () (tptp.multiply @t42 tptp.b)) % 28.19/28.43 (define @t47 () (not (tptp.sum @t46 tptp.c @t45))) % 28.19/28.43 (define @t48 () (tptp.sum @t46 tptp.d @t45)) % 28.19/28.43 (define @t49 () (not @t48)) % 28.19/28.43 (define @t50 () (or @t49 @t47 (= tptp.d tptp.c))) % 28.19/28.43 (define @t51 () (or @t49 @t47 @t44)) % 28.19/28.43 (define @t52 () (@list false)) % 28.19/28.43 (define @t53 () (@list tptp.b)) % 28.19/28.43 (define @t54 () (tptp.product @t42 tptp.additive_identity @t45)) % 28.19/28.43 (define @t55 () (not @t54)) % 28.19/28.43 (define @t56 () (tptp.sum tptp.b @t41 tptp.additive_identity)) % 28.19/28.43 (define @t57 () (not @t56)) % 28.19/28.43 (define @t58 () (not @t43)) % 28.19/28.43 (define @t59 () (tptp.product @t42 tptp.b @t46)) % 28.19/28.43 (define @t60 () (not @t59)) % 28.19/28.43 (define @t61 () (or @t60 @t58 @t57 @t55 @t48)) % 28.19/28.43 (define @t62 () (@list false false false false false)) % 28.19/28.43 (define @t63 () (tptp.multiply tptp.additive_identity tptp.b)) % 28.19/28.43 (define @t64 () (tptp.sum @t63 @t46 @t46)) % 28.19/28.43 (define @t65 () (not @t64)) % 28.19/28.43 (define @t66 () (tptp.sum @t45 @t46 @t46)) % 28.19/28.43 (define @t67 () (not @t66)) % 28.19/28.43 (define @t68 () (or @t67 @t65 (= @t45 @t63))) % 28.19/28.43 (define @t69 () (= @t63 @t45)) % 28.19/28.43 (define @t70 () (or @t67 @t65 @t69)) % 28.19/28.43 (define @t71 () (tptp.add tptp.additive_identity @t42)) % 28.19/28.43 (define @t72 () (= @t42 @t71)) % 28.19/28.43 (define @t73 () (tptp.sum tptp.additive_identity @t42 @t71)) % 28.19/28.43 (define @t74 () (not @t73)) % 28.19/28.43 (define @t75 () (tptp.sum tptp.additive_identity @t42 @t42)) % 28.19/28.43 (define @t76 () (not @t75)) % 28.19/28.43 (define @t77 () (or @t76 @t74 @t72)) % 28.19/28.43 (define @t78 () (@list false false false)) % 28.19/28.43 (define @t79 () (tptp.product @t71 tptp.b @t46)) % 28.19/28.43 (define @t80 () (not @t79)) % 28.19/28.43 (define @t81 () (tptp.product tptp.additive_identity tptp.b @t63)) % 28.19/28.43 (define @t82 () (not @t81)) % 28.19/28.43 (define @t83 () (or @t82 @t60 @t74 @t80 @t64)) % 28.19/28.43 (define @t84 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 28.19/28.43 (define @t85 () (not @t84)) % 28.19/28.43 (define @t86 () (or @t55 @t60 @t85 @t60 @t66)) % 28.19/28.43 (define @t87 () (tptp.sum @t46 tptp.c @t63)) % 28.19/28.43 (define @t88 () (tptp.sum @t42 tptp.a tptp.additive_identity)) % 28.19/28.43 (define @t89 () (not @t88)) % 28.19/28.43 (define @t90 () (not @t40)) % 28.19/28.43 (define @t91 () (or @t60 @t90 @t89 @t82 @t87)) % 28.19/28.43 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 28.19/28.43 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 28.19/28.43 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 28.19/28.43 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 28.19/28.43 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 28.19/28.43 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 28.19/28.43 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 28.19/28.43 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 28.19/28.43 (assume @p9 (forall (@list @t1 @t3 @t9) (or @t15 (tptp.sum @t3 @t1 @t9)))) % 28.19/28.43 (assume @p10 (forall @t14 (or @t19 @t18 (not @t17) @t16))) % 28.19/28.43 (assume @p11 (forall @t14 (or @t19 @t18 (not @t16) @t17))) % 28.19/28.43 (assume @p12 (forall @t29 (or @t28 @t27 @t26 (not @t25) @t23))) % 28.19/28.43 (assume @p13 (forall @t29 (or @t28 @t27 @t26 @t30 @t25))) % 28.19/28.43 (assume @p14 (forall @t34 (or @t33 @t32 @t26 (not @t31) @t23))) % 28.19/28.43 (assume @p15 (forall @t34 (or @t33 @t32 @t26 @t30 @t31))) % 28.19/28.43 (assume @p16 (forall @t36 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t35))) % 28.19/28.43 (assume @p17 (forall @t36 (or @t19 (not (tptp.product @t1 @t3 @t7)) @t35))) % 28.19/28.43 (assume @p18 @t38) % 28.19/28.43 (assume @p19 @t39) % 28.19/28.43 (assume @p20 @t40) % 28.19/28.43 (assume @p21 @t43) % 28.19/28.43 (assume @p22 (not @t44)) % 28.19/28.43 (step @p23 :rule evaluate :args ((= true false))) % 28.19/28.43 (step @p24 :rule eq-symm :args (tptp.d tptp.c)) % 28.19/28.43 (step @p25 :rule refl :args (@t47)) % 28.19/28.43 (step @p26 :rule refl :args (@t49)) % 28.19/28.43 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t50)) % 28.19/28.43 (step @p28 :rule refl :args (@t38)) % 28.19/28.43 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t38 @t50))) % 28.19/28.43 (assume-push @p99 @t38) % 28.19/28.43 (step @p31 :rule instantiate :premises (@p18) :args ((@list @t46 tptp.d @t45 tptp.c))) % 28.19/28.43 (step-pop @p100 :rule scope :premises (@p31)) % 28.19/28.43 (step @p32 :rule process_scope :premises (@p100) :args (@t50)) % 28.19/28.43 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 28.19/28.43 (step @p35 :rule implies_elim :premises (@p34)) % 28.19/28.43 (step @p36 :rule chain_m_resolution :premises (@p35 @p18) :args (@t51 @t52 (@list @t38))) % 28.19/28.43 (step @p37 :rule instantiate :premises (@p12) :args ((@list @t42 tptp.b @t46 @t41 tptp.d tptp.additive_identity @t45))) % 28.19/28.43 (step @p38 :rule instantiate :premises (@p3) :args ((@list @t42 tptp.b))) % 28.19/28.43 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t42 tptp.additive_identity))) % 28.19/28.43 (step @p40 :rule instantiate :premises (@p6) :args (@t53)) % 28.19/28.43 (step @p41 :rule cnf_or_pos :args (@t61)) % 28.19/28.43 (step @p42 :rule reordering :premises (@p41) :args ((or @t58 @t57 @t55 @t60 @t48 (not @t61)))) % 28.19/28.43 (step @p43 :rule chain_m_resolution :premises (@p42 @p21 @p40 @p39 @p38 @p37) :args (@t48 @t62 (@list @t43 @t56 @t54 @t59 @t61))) % 28.19/28.43 (step @p44 :rule cnf_or_pos :args (@t51)) % 28.19/28.43 (step @p45 :rule reordering :premises (@p44) :args ((or @t44 @t49 @t47 (not @t51)))) % 28.19/28.43 (step @p46 :rule chain_m_resolution :premises (@p45 @p22 @p43 @p36) :args (@t47 (@list true false false) (@list @t44 @t48 @t51))) % 28.19/28.43 (step @p47 :rule false_intro :premises (@p46)) % 28.19/28.43 (step @p48 :rule eq-symm :args (@t45 @t63)) % 28.19/28.43 (step @p49 :rule refl :args (@t65)) % 28.19/28.43 (step @p50 :rule refl :args (@t67)) % 28.19/28.43 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t68)) % 28.19/28.43 (step @p52 :rule refl :args (@t39)) % 28.19/28.43 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t39 @t68))) % 28.19/28.43 (assume-push @p101 @t39) % 28.19/28.43 (step @p55 :rule instantiate :premises (@p19) :args ((@list @t45 @t46 @t46 @t63))) % 28.19/28.43 (step-pop @p102 :rule scope :premises (@p55)) % 28.19/28.43 (step @p56 :rule process_scope :premises (@p102) :args (@t68)) % 28.19/28.43 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 28.19/28.43 (step @p59 :rule implies_elim :premises (@p58)) % 28.19/28.43 (step @p60 :rule chain_m_resolution :premises (@p59 @p19) :args (@t70 @t52 (@list @t39))) % 28.19/28.43 (step @p61 :rule instantiate :premises (@p14) :args ((@list tptp.additive_identity tptp.b @t63 @t42 @t46 @t71 @t46))) % 28.19/28.43 (step @p62 :rule true_intro :premises (@p38)) % 28.19/28.43 (step @p63 :rule refl :args (@t46)) % 28.19/28.43 (step @p64 :rule refl :args (tptp.b)) % 28.19/28.43 (step @p65 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity @t42 @t42 @t71))) % 28.19/28.43 (step @p66 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity @t42))) % 28.19/28.43 (step @p67 :rule instantiate :premises (@p1) :args ((@list @t42))) % 28.19/28.43 (step @p68 :rule cnf_or_pos :args (@t77)) % 28.19/28.43 (step @p69 :rule reordering :premises (@p68) :args ((or @t76 @t74 @t72 (not @t77)))) % 28.19/28.43 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p66 @p65) :args (@t72 @t78 (@list @t75 @t73 @t77))) % 28.19/28.43 (step @p71 :rule symm :premises (@p70)) % 28.19/28.43 (step @p72 :rule cong :premises (@p71 @p64 @p63) :args (@t79)) % 28.19/28.43 (step @p73 :rule trans :premises (@p72 @p62)) % 28.19/28.43 (step @p74 :rule true_elim :premises (@p73)) % 28.19/28.43 (step @p75 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.b))) % 28.19/28.43 (step @p76 :rule cnf_or_pos :args (@t83)) % 28.19/28.43 (step @p77 :rule reordering :premises (@p76) :args ((or @t82 @t60 @t74 @t64 @t80 (not @t83)))) % 28.19/28.43 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p38 @p66 @p74 @p61) :args (@t64 @t62 (@list @t81 @t59 @t73 @t79 @t83))) % 28.19/28.43 (step @p79 :rule instantiate :premises (@p12) :args ((@list @t42 tptp.additive_identity @t45 tptp.b @t46 tptp.b @t46))) % 28.19/28.43 (step @p80 :rule instantiate :premises (@p1) :args (@t53)) % 28.19/28.43 (step @p81 :rule cnf_or_pos :args (@t86)) % 28.19/28.43 (step @p82 :rule factoring :premises (@p81)) % 28.19/28.43 (step @p83 :rule reordering :premises (@p82) :args ((or @t85 @t55 @t60 @t66 (not @t86)))) % 28.19/28.43 (step @p84 :rule chain_m_resolution :premises (@p83 @p80 @p39 @p38 @p79) :args (@t66 (@list false false false false) (@list @t84 @t54 @t59 @t86))) % 28.19/28.43 (step @p85 :rule cnf_or_pos :args (@t70)) % 28.19/28.43 (step @p86 :rule reordering :premises (@p85) :args ((or @t67 @t69 @t65 (not @t70)))) % 28.19/28.43 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p78 @p60) :args (@t69 @t78 (@list @t66 @t64 @t70))) % 28.19/28.43 (step @p88 :rule refl :args (tptp.c)) % 28.19/28.43 (step @p89 :rule cong :premises (@p63 @p88 @p87) :args (@t87)) % 28.19/28.43 (step @p90 :rule instantiate :premises (@p14) :args ((@list @t42 tptp.b @t46 tptp.a tptp.c tptp.additive_identity @t63))) % 28.19/28.43 (step @p91 :rule instantiate :premises (@p5) :args ((@list tptp.a))) % 28.19/28.43 (step @p92 :rule cnf_or_pos :args (@t91)) % 28.19/28.43 (step @p93 :rule reordering :premises (@p92) :args ((or @t90 @t82 @t60 @t89 @t87 (not @t91)))) % 28.19/28.43 (step @p94 :rule chain_m_resolution :premises (@p93 @p20 @p75 @p38 @p91 @p90) :args (@t87 @t62 (@list @t40 @t81 @t59 @t88 @t91))) % 28.19/28.43 (step @p95 :rule true_intro :premises (@p94)) % 28.19/28.43 (step @p96 :rule symm :premises (@p95)) % 28.19/28.43 (step @p97 :rule trans :premises (@p96 @p89 @p47)) % 28.19/28.43 (step @p98 false :rule eq_resolve :premises (@p97 @p23)) % 28.19/28.43 ) % 28.19/28.44 % SZS output end Proof % 28.19/28.44 % cvc5 exiting %------------------------------------------------------------------------------