%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG007-1 : 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 08:45:20 AM UTC 2026 % Result : Unsatisfiable 1.03s 1.22s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : RNG007-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % 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 13:55:41 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.22 % SZS status Unsatisfiable % 1.03/1.22 % SZS output start Proof % 1.03/1.22 ( % 1.03/1.22 (declare-sort $$unsorted 0) % 1.03/1.22 (declare-const tptp.a $$unsorted) % 1.03/1.22 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 1.03/1.22 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.22 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.22 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.22 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.22 (declare-const tptp.additive_identity $$unsorted) % 1.03/1.22 (define @t1 () (@var "X" $$unsorted)) % 1.03/1.22 (define @t2 () (@list @t1)) % 1.03/1.22 (define @t3 () (@var "Y" $$unsorted)) % 1.03/1.22 (define @t4 () (@list @t1 @t3)) % 1.03/1.22 (define @t5 () (tptp.additive_inverse @t1)) % 1.03/1.22 (define @t6 () (@var "W" $$unsorted)) % 1.03/1.22 (define @t7 () (@var "V" $$unsorted)) % 1.03/1.22 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 1.03/1.22 (define @t9 () (@var "Z" $$unsorted)) % 1.03/1.22 (define @t10 () (@var "U" $$unsorted)) % 1.03/1.22 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 1.03/1.22 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 1.03/1.22 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 1.03/1.22 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 1.03/1.22 (define @t15 () (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 1.03/1.22 (define @t16 () (tptp.product @t1 @t7 @t6)) % 1.03/1.22 (define @t17 () (tptp.product @t10 @t9 @t6)) % 1.03/1.22 (define @t18 () (not (tptp.product @t3 @t9 @t7))) % 1.03/1.22 (define @t19 () (not (tptp.product @t1 @t3 @t10))) % 1.03/1.22 (define @t20 () (@var "V4" $$unsorted)) % 1.03/1.22 (define @t21 () (@var "V2" $$unsorted)) % 1.03/1.22 (define @t22 () (@var "V1" $$unsorted)) % 1.03/1.22 (define @t23 () (tptp.sum @t22 @t21 @t20)) % 1.03/1.22 (define @t24 () (@var "V3" $$unsorted)) % 1.03/1.22 (define @t25 () (tptp.product @t1 @t24 @t20)) % 1.03/1.22 (define @t26 () (not (tptp.sum @t3 @t9 @t24))) % 1.03/1.22 (define @t27 () (not (tptp.product @t1 @t9 @t21))) % 1.03/1.22 (define @t28 () (not (tptp.product @t1 @t3 @t22))) % 1.03/1.22 (define @t29 () (@list @t1 @t3 @t22 @t9 @t21 @t24 @t20)) % 1.03/1.22 (define @t30 () (not @t23)) % 1.03/1.22 (define @t31 () (tptp.product @t24 @t1 @t20)) % 1.03/1.22 (define @t32 () (not (tptp.product @t9 @t1 @t21))) % 1.03/1.22 (define @t33 () (not (tptp.product @t3 @t1 @t22))) % 1.03/1.22 (define @t34 () (@list @t3 @t1 @t22 @t9 @t21 @t24 @t20)) % 1.03/1.22 (define @t35 () (= @t10 @t7)) % 1.03/1.22 (define @t36 () (@list @t1 @t3 @t10 @t7)) % 1.03/1.22 (define @t37 () (forall @t36 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t35))) % 1.03/1.22 (define @t38 () (tptp.sum tptp.a tptp.a tptp.additive_identity)) % 1.03/1.22 (define @t39 () (tptp.add tptp.a tptp.a)) % 1.03/1.22 (define @t40 () (tptp.add tptp.additive_identity tptp.a)) % 1.03/1.22 (define @t41 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 1.03/1.22 (define @t42 () (not @t41)) % 1.03/1.22 (define @t43 () (tptp.sum tptp.additive_identity tptp.a @t40)) % 1.03/1.22 (define @t44 () (not @t43)) % 1.03/1.22 (define @t45 () (or @t44 @t42 (= @t40 tptp.a))) % 1.03/1.22 (define @t46 () (= tptp.a @t40)) % 1.03/1.22 (define @t47 () (or @t44 @t42 @t46)) % 1.03/1.22 (define @t48 () (@list tptp.a)) % 1.03/1.22 (define @t49 () (@list false false false)) % 1.03/1.22 (define @t50 () (tptp.sum @t40 tptp.a @t39)) % 1.03/1.22 (define @t51 () (tptp.sum tptp.additive_identity @t39 @t39)) % 1.03/1.22 (define @t52 () (not @t50)) % 1.03/1.22 (define @t53 () (tptp.sum tptp.a tptp.a @t39)) % 1.03/1.22 (define @t54 () (not @t53)) % 1.03/1.22 (define @t55 () (or @t44 @t54 @t52 @t51)) % 1.03/1.22 (define @t56 () (@list false false false false)) % 1.03/1.22 (define @t57 () (tptp.additive_inverse tptp.a)) % 1.03/1.22 (define @t58 () (tptp.product @t39 tptp.a @t39)) % 1.03/1.22 (define @t59 () (tptp.product tptp.a tptp.a tptp.a)) % 1.03/1.22 (define @t60 () (not @t59)) % 1.03/1.22 (define @t61 () (or @t60 @t60 @t54 @t54 @t58)) % 1.03/1.22 (define @t62 () (tptp.sum @t39 @t39 @t39)) % 1.03/1.22 (define @t63 () (tptp.product @t39 @t39 @t39)) % 1.03/1.22 (define @t64 () (not @t63)) % 1.03/1.22 (define @t65 () (not @t58)) % 1.03/1.22 (define @t66 () (or @t65 @t65 @t54 @t64 @t62)) % 1.03/1.22 (define @t67 () (tptp.sum @t39 @t57 tptp.a)) % 1.03/1.22 (define @t68 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 1.03/1.22 (define @t69 () (not @t68)) % 1.03/1.22 (define @t70 () (tptp.sum tptp.a @t57 tptp.additive_identity)) % 1.03/1.22 (define @t71 () (not @t70)) % 1.03/1.22 (define @t72 () (or @t54 @t71 @t69 @t67)) % 1.03/1.22 (define @t73 () (tptp.sum @t57 @t39 tptp.a)) % 1.03/1.22 (define @t74 () (not @t67)) % 1.03/1.22 (define @t75 () (or @t74 @t73)) % 1.03/1.22 (define @t76 () (tptp.sum tptp.a @t39 tptp.a)) % 1.03/1.22 (define @t77 () (not @t73)) % 1.03/1.22 (define @t78 () (not @t62)) % 1.03/1.22 (define @t79 () (or @t77 @t78 @t77 @t76)) % 1.03/1.22 (define @t80 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 1.03/1.22 (define @t81 () (not @t80)) % 1.03/1.22 (define @t82 () (tptp.sum @t57 tptp.additive_identity tptp.a)) % 1.03/1.22 (define @t83 () (not @t82)) % 1.03/1.22 (define @t84 () (or @t71 @t83 @t81 @t38)) % 1.03/1.22 (define @t85 () (@list true false false false)) % 1.03/1.22 (define @t86 () (tptp.sum @t57 tptp.additive_identity @t57)) % 1.03/1.22 (define @t87 () (not @t86)) % 1.03/1.22 (define @t88 () (tptp.sum @t39 @t57 @t57)) % 1.03/1.22 (define @t89 () (not @t88)) % 1.03/1.22 (define @t90 () (or @t89 @t87 @t74 @t82)) % 1.03/1.22 (define @t91 () (tptp.sum @t57 tptp.a @t39)) % 1.03/1.22 (define @t92 () (not @t91)) % 1.03/1.22 (define @t93 () (or @t92 @t71 @t87 @t88)) % 1.03/1.22 (define @t94 () (not @t51)) % 1.03/1.22 (define @t95 () (not @t76)) % 1.03/1.22 (define @t96 () (tptp.sum @t57 tptp.a tptp.additive_identity)) % 1.03/1.22 (define @t97 () (not @t96)) % 1.03/1.22 (define @t98 () (or @t97 @t95 @t94 @t91)) % 1.03/1.22 (define @t99 () (not @t98)) % 1.03/1.22 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 1.03/1.22 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 1.03/1.22 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 1.03/1.22 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 1.03/1.22 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 1.03/1.22 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 1.03/1.22 (assume @p7 @t15) % 1.03/1.22 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 1.03/1.22 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 1.03/1.22 (assume @p10 (forall @t14 (or @t19 @t18 (not @t17) @t16))) % 1.03/1.22 (assume @p11 (forall @t14 (or @t19 @t18 (not @t16) @t17))) % 1.03/1.22 (assume @p12 (forall @t29 (or @t28 @t27 @t26 (not @t25) @t23))) % 1.03/1.22 (assume @p13 (forall @t29 (or @t28 @t27 @t26 @t30 @t25))) % 1.03/1.22 (assume @p14 (forall @t34 (or @t33 @t32 @t26 (not @t31) @t23))) % 1.03/1.22 (assume @p15 (forall @t34 (or @t33 @t32 @t26 @t30 @t31))) % 1.03/1.22 (assume @p16 @t37) % 1.03/1.22 (assume @p17 (forall @t36 (or @t19 (not (tptp.product @t1 @t3 @t7)) @t35))) % 1.03/1.22 (assume @p18 (forall @t2 (tptp.product @t1 @t1 @t1))) % 1.03/1.22 (assume @p19 (not @t38)) % 1.03/1.22 (step @p20 :rule instantiate :premises (@p7) :args ((@list tptp.additive_identity tptp.a @t40 tptp.a @t39 @t39))) % 1.03/1.22 (step @p21 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.a))) % 1.03/1.22 (step @p22 :rule true_intro :premises (@p21)) % 1.03/1.22 (step @p23 :rule refl :args (@t39)) % 1.03/1.22 (step @p24 :rule refl :args (tptp.a)) % 1.03/1.22 (step @p25 :rule eq-symm :args (@t40 tptp.a)) % 1.03/1.22 (step @p26 :rule refl :args (@t42)) % 1.03/1.22 (step @p27 :rule refl :args (@t44)) % 1.03/1.22 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t45)) % 1.03/1.22 (step @p29 :rule refl :args (@t37)) % 1.03/1.22 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t37 @t45))) % 1.03/1.22 (assume-push @p101 @t37) % 1.03/1.22 (step @p32 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity tptp.a @t40 tptp.a))) % 1.03/1.22 (step-pop @p102 :rule scope :premises (@p32)) % 1.03/1.22 (step @p33 :rule process_scope :premises (@p102) :args (@t45)) % 1.03/1.22 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 1.03/1.22 (step @p36 :rule implies_elim :premises (@p35)) % 1.03/1.22 (step @p37 :rule chain_m_resolution :premises (@p36 @p16) :args (@t47 (@list false) (@list @t37))) % 1.03/1.22 (step @p38 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.a))) % 1.03/1.22 (step @p39 :rule instantiate :premises (@p1) :args (@t48)) % 1.03/1.22 (step @p40 :rule cnf_or_pos :args (@t47)) % 1.03/1.22 (step @p41 :rule reordering :premises (@p40) :args ((or @t42 @t44 @t46 (not @t47)))) % 1.03/1.22 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p38 @p37) :args (@t46 @t49 (@list @t41 @t43 @t47))) % 1.03/1.22 (step @p43 :rule symm :premises (@p42)) % 1.03/1.22 (step @p44 :rule cong :premises (@p43 @p24 @p23) :args (@t50)) % 1.03/1.22 (step @p45 :rule trans :premises (@p44 @p22)) % 1.03/1.22 (step @p46 :rule true_elim :premises (@p45)) % 1.03/1.22 (step @p47 :rule cnf_or_pos :args (@t55)) % 1.03/1.22 (step @p48 :rule reordering :premises (@p47) :args ((or @t44 @t54 @t52 @t51 (not @t55)))) % 1.03/1.22 (step @p49 :rule chain_m_resolution :premises (@p48 @p38 @p21 @p46 @p20) :args (@t51 @t56 (@list @t43 @t53 @t50 @t55))) % 1.03/1.22 (step @p50 :rule instantiate :premises (@p8) :args ((@list @t57 @t39 tptp.a @t39 @t39 tptp.a))) % 1.03/1.22 (step @p51 :rule instantiate :premises (@p12) :args ((@list @t39 tptp.a @t39 tptp.a @t39 @t39 @t39))) % 1.03/1.22 (step @p52 :rule instantiate :premises (@p18) :args ((@list @t39))) % 1.03/1.22 (step @p53 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.a tptp.a tptp.a tptp.a @t39 @t39))) % 1.03/1.22 (step @p54 :rule instantiate :premises (@p18) :args (@t48)) % 1.03/1.22 (step @p55 :rule cnf_or_pos :args (@t61)) % 1.03/1.22 (step @p56 :rule factoring :premises (@p55)) % 1.03/1.22 (step @p57 :rule reordering :premises (@p56) :args ((or @t60 @t54 @t58 (not @t61)))) % 1.03/1.22 (step @p58 :rule chain_m_resolution :premises (@p57 @p54 @p21 @p53) :args (@t58 @t49 (@list @t59 @t53 @t61))) % 1.03/1.22 (step @p59 :rule cnf_or_pos :args (@t66)) % 1.03/1.22 (step @p60 :rule factoring :premises (@p59)) % 1.03/1.22 (step @p61 :rule reordering :premises (@p60) :args ((or @t54 @t65 @t64 @t62 (not @t66)))) % 1.03/1.22 (step @p62 :rule chain_m_resolution :premises (@p61 @p21 @p58 @p52 @p51) :args (@t62 @t56 (@list @t53 @t58 @t63 @t66))) % 1.03/1.22 (step @p63 :rule instantiate :premises (@p9) :args ((@list @t39 @t57 tptp.a))) % 1.03/1.22 (step @p64 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.a @t39 @t57 tptp.additive_identity tptp.a))) % 1.03/1.22 (step @p65 :rule instantiate :premises (@p6) :args (@t48)) % 1.03/1.22 (step @p66 :rule instantiate :premises (@p2) :args (@t48)) % 1.03/1.22 (step @p67 :rule cnf_or_pos :args (@t72)) % 1.03/1.22 (step @p68 :rule reordering :premises (@p67) :args ((or @t69 @t71 @t54 @t67 (not @t72)))) % 1.03/1.22 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p65 @p21 @p64) :args (@t67 @t56 (@list @t68 @t70 @t53 @t72))) % 1.03/1.22 (step @p70 :rule cnf_or_pos :args (@t75)) % 1.03/1.22 (step @p71 :rule reordering :premises (@p70) :args ((or @t74 @t73 (not @t75)))) % 1.03/1.22 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p63) :args (@t73 (@list false false) (@list @t67 @t75))) % 1.03/1.22 (step @p73 :rule cnf_or_pos :args (@t79)) % 1.03/1.22 (step @p74 :rule factoring :premises (@p73)) % 1.03/1.22 (step @p75 :rule reordering :premises (@p74) :args ((or @t77 @t76 @t78 (not @t79)))) % 1.03/1.22 (step @p76 :rule chain_m_resolution :premises (@p75 @p72 @p62 @p50) :args (@t76 @t49 (@list @t73 @t62 @t79))) % 1.03/1.22 (step @p77 :rule instantiate :premises (@p8) :args ((@list @t57 tptp.a @t39 @t57 tptp.additive_identity @t57))) % 1.03/1.22 (step @p78 :rule instantiate :premises (@p8) :args ((@list @t39 @t57 @t57 tptp.additive_identity @t57 tptp.a))) % 1.03/1.22 (step @p79 :rule instantiate :premises (@p2) :args ((@list @t57))) % 1.03/1.22 (step @p80 :rule instantiate :premises (@p7) :args ((@list tptp.a @t57 tptp.additive_identity tptp.additive_identity tptp.a tptp.additive_identity))) % 1.03/1.22 (step @p81 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity))) % 1.03/1.22 (step @p82 :rule cnf_or_pos :args (@t84)) % 1.03/1.22 (step @p83 :rule reordering :premises (@p82) :args ((or @t38 @t81 @t71 @t83 (not @t84)))) % 1.03/1.22 (step @p84 :rule chain_m_resolution :premises (@p83 @p19 @p81 @p65 @p80) :args (@t83 @t85 (@list @t38 @t80 @t70 @t84))) % 1.03/1.22 (step @p85 :rule cnf_or_pos :args (@t90)) % 1.03/1.22 (step @p86 :rule reordering :premises (@p85) :args ((or @t82 @t87 @t74 @t89 (not @t90)))) % 1.03/1.22 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p79 @p69 @p78) :args (@t89 @t85 (@list @t82 @t86 @t67 @t90))) % 1.03/1.22 (step @p88 :rule cnf_or_pos :args (@t93)) % 1.03/1.22 (step @p89 :rule reordering :premises (@p88) :args ((or @t71 @t87 @t88 @t92 (not @t93)))) % 1.03/1.22 (step @p90 :rule chain_m_resolution :premises (@p89 @p65 @p79 @p87 @p77) :args (@t92 (@list false false true false) (@list @t70 @t86 @t88 @t93))) % 1.03/1.22 (step @p91 :rule instantiate :premises (@p5) :args (@t48)) % 1.03/1.22 (step @p92 :rule cnf_or_pos :args (@t98)) % 1.03/1.22 (step @p93 :rule reordering :premises (@p92) :args ((or @t97 @t91 @t95 @t94 @t99))) % 1.03/1.22 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90 @p76 @p49) :args (@t99 (@list false true false false) (@list @t96 @t91 @t76 @t51))) % 1.03/1.22 (assume-push @p103 @t15) % 1.03/1.22 (step @p96 :rule instantiate :premises (@p7) :args ((@list @t57 tptp.a tptp.additive_identity @t39 tptp.a @t39))) % 1.03/1.22 (step-pop @p104 :rule scope :premises (@p96)) % 1.03/1.22 (step @p97 :rule process_scope :premises (@p104) :args (@t98)) % 1.03/1.22 (step @p99 :rule implies_elim :premises (@p97)) % 1.03/1.22 (step @p100 false :rule chain_m_resolution :premises (@p99 @p94 @p7) :args (false (@list true false) (@list @t98 @t15))) % 1.03/1.22 ) % 1.03/1.23 % SZS output end Proof % 1.03/1.23 % cvc5 exiting %------------------------------------------------------------------------------