%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD016-5 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:15:23 AM UTC 2026 % Result : Unsatisfiable 8.31s 8.52s % Output : Proof 8.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD016-5 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 : Mon Jun 1 22:34:35 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... % 8.31/8.52 % SZS status Unsatisfiable % 8.31/8.52 % SZS output start Proof % 8.31/8.52 ( % 8.31/8.52 (declare-sort $$unsorted 0) % 8.31/8.52 (declare-const tptp.r $$unsorted) % 8.31/8.52 (declare-const tptp.q $$unsorted) % 8.31/8.52 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 8.31/8.52 (declare-const tptp.defined (-> $$unsorted Bool)) % 8.31/8.52 (declare-const tptp.u $$unsorted) % 8.31/8.52 (declare-const tptp.additive_identity $$unsorted) % 8.31/8.52 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.31/8.52 (declare-const tptp.a $$unsorted) % 8.31/8.52 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 8.31/8.52 (declare-const tptp.multiplicative_identity $$unsorted) % 8.31/8.52 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 8.31/8.52 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 8.31/8.52 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 8.31/8.52 (declare-const tptp.v $$unsorted) % 8.31/8.52 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 8.31/8.52 (define @t1 () (@var "W" $$unsorted)) % 8.31/8.52 (define @t2 () (@var "Z" $$unsorted)) % 8.31/8.52 (define @t3 () (@var "U" $$unsorted)) % 8.31/8.52 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 8.31/8.52 (define @t5 () (@var "V" $$unsorted)) % 8.31/8.52 (define @t6 () (@var "Y" $$unsorted)) % 8.31/8.52 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 8.31/8.52 (define @t8 () (@var "X" $$unsorted)) % 8.31/8.52 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 8.31/8.52 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 8.31/8.52 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 8.31/8.52 (define @t12 () (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 8.31/8.52 (define @t13 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 8.31/8.52 (define @t14 () (not (tptp.defined @t8))) % 8.31/8.52 (define @t15 () (@list @t8)) % 8.31/8.52 (define @t16 () (tptp.additive_inverse @t8)) % 8.31/8.52 (define @t17 () (@list @t6 @t8 @t2)) % 8.31/8.52 (define @t18 () (tptp.product @t3 @t2 @t1)) % 8.31/8.52 (define @t19 () (not (tptp.product @t6 @t2 @t5))) % 8.31/8.52 (define @t20 () (not (tptp.product @t8 @t6 @t3))) % 8.31/8.52 (define @t21 () (tptp.product @t8 @t5 @t1)) % 8.31/8.52 (define @t22 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 8.31/8.52 (define @t23 () (tptp.multiplicative_inverse @t8)) % 8.31/8.52 (define @t24 () (not (tptp.product @t8 @t6 @t2))) % 8.31/8.52 (define @t25 () (@var "D" $$unsorted)) % 8.31/8.52 (define @t26 () (not (tptp.product @t6 @t2 @t25))) % 8.31/8.52 (define @t27 () (@var "C" $$unsorted)) % 8.31/8.52 (define @t28 () (not (tptp.product @t8 @t2 @t27))) % 8.31/8.52 (define @t29 () (@var "B" $$unsorted)) % 8.31/8.52 (define @t30 () (@var "A" $$unsorted)) % 8.31/8.52 (define @t31 () (tptp.product @t30 @t2 @t29)) % 8.31/8.52 (define @t32 () (not (tptp.sum @t8 @t6 @t30))) % 8.31/8.52 (define @t33 () (tptp.sum @t27 @t25 @t29)) % 8.31/8.52 (define @t34 () (not (tptp.defined @t6))) % 8.31/8.52 (define @t35 () (tptp.add @t8 @t6)) % 8.31/8.52 (define @t36 () (@list @t8 @t6)) % 8.31/8.52 (define @t37 () (tptp.defined tptp.additive_identity)) % 8.31/8.52 (define @t38 () (tptp.multiply @t8 @t6)) % 8.31/8.52 (define @t39 () (tptp.less_or_equal @t6 @t8)) % 8.31/8.52 (define @t40 () (tptp.less_or_equal @t8 @t6)) % 8.31/8.52 (define @t41 () (not @t40)) % 8.31/8.52 (define @t42 () (tptp.defined tptp.a)) % 8.31/8.52 (define @t43 () (tptp.defined tptp.v)) % 8.31/8.52 (define @t44 () (tptp.defined tptp.q)) % 8.31/8.52 (define @t45 () (tptp.sum tptp.a tptp.u tptp.q)) % 8.31/8.52 (define @t46 () (tptp.sum tptp.a tptp.v tptp.r)) % 8.31/8.52 (define @t47 () (tptp.sum tptp.additive_identity tptp.q tptp.r)) % 8.31/8.52 (define @t48 () (tptp.sum tptp.additive_identity tptp.u tptp.v)) % 8.31/8.52 (define @t49 () (tptp.additive_inverse tptp.a)) % 8.31/8.52 (define @t50 () (not @t44)) % 8.31/8.52 (define @t51 () (tptp.sum tptp.additive_identity tptp.q tptp.q)) % 8.31/8.52 (define @t52 () (or @t51 @t50)) % 8.31/8.52 (define @t53 () (@list false false)) % 8.31/8.52 (define @t54 () (not @t51)) % 8.31/8.52 (define @t55 () (tptp.sum tptp.q tptp.additive_identity tptp.q)) % 8.31/8.52 (define @t56 () (or @t55 @t54)) % 8.31/8.52 (define @t57 () (not @t47)) % 8.31/8.52 (define @t58 () (tptp.sum tptp.q tptp.additive_identity tptp.r)) % 8.31/8.52 (define @t59 () (or @t58 @t57)) % 8.31/8.52 (define @t60 () (not @t37)) % 8.31/8.52 (define @t61 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 8.31/8.52 (define @t62 () (or @t61 @t60)) % 8.31/8.52 (define @t63 () (not @t55)) % 8.31/8.52 (define @t64 () (not @t61)) % 8.31/8.52 (define @t65 () (not @t58)) % 8.31/8.52 (define @t66 () (tptp.sum tptp.r tptp.additive_identity tptp.q)) % 8.31/8.52 (define @t67 () (or @t66 @t65 @t64 @t63)) % 8.31/8.52 (define @t68 () (not @t43)) % 8.31/8.52 (define @t69 () (tptp.sum tptp.additive_identity tptp.v tptp.v)) % 8.31/8.52 (define @t70 () (or @t69 @t68)) % 8.31/8.52 (define @t71 () (not @t69)) % 8.31/8.52 (define @t72 () (tptp.sum tptp.v tptp.additive_identity tptp.v)) % 8.31/8.52 (define @t73 () (or @t72 @t71)) % 8.31/8.52 (define @t74 () (not @t42)) % 8.31/8.52 (define @t75 () (tptp.sum @t49 tptp.a tptp.additive_identity)) % 8.31/8.52 (define @t76 () (or @t75 @t74)) % 8.31/8.52 (define @t77 () (tptp.sum @t49 tptp.q tptp.v)) % 8.31/8.52 (define @t78 () (not @t77)) % 8.31/8.52 (define @t79 () (not @t45)) % 8.31/8.52 (define @t80 () (not @t75)) % 8.31/8.52 (define @t81 () (or @t48 @t80 @t79 @t78)) % 8.31/8.52 (define @t82 () (@list true false false false)) % 8.31/8.52 (define @t83 () (not @t72)) % 8.31/8.52 (define @t84 () (not @t66)) % 8.31/8.52 (define @t85 () (tptp.sum @t49 tptp.r tptp.v)) % 8.31/8.52 (define @t86 () (not @t85)) % 8.31/8.52 (define @t87 () (or @t77 @t86 @t84 @t83)) % 8.31/8.52 (define @t88 () (not @t46)) % 8.31/8.52 (define @t89 () (or @t85 @t80 @t88 @t71)) % 8.31/8.52 (define @t90 () (not @t89)) % 8.31/8.52 (assume @p1 @t12) % 8.31/8.52 (assume @p2 (forall @t13 (or @t4 @t9 @t7 (not @t10)))) % 8.31/8.52 (assume @p3 (forall @t15 (or (tptp.sum tptp.additive_identity @t8 @t8) @t14))) % 8.31/8.52 (assume @p4 (forall @t15 (or (tptp.sum @t16 @t8 tptp.additive_identity) @t14))) % 8.31/8.52 (assume @p5 (forall @t17 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 8.31/8.52 (assume @p6 (forall @t11 (or @t21 @t20 @t19 (not @t18)))) % 8.31/8.52 (assume @p7 (forall @t13 (or @t18 @t20 @t19 (not @t21)))) % 8.31/8.52 (assume @p8 (forall @t15 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t14))) % 8.31/8.52 (assume @p9 (forall @t15 (or (tptp.product @t23 @t8 tptp.multiplicative_identity) @t22 @t14))) % 8.31/8.52 (assume @p10 (forall @t17 (or (tptp.product @t6 @t8 @t2) @t24))) % 8.31/8.52 (assume @p11 (forall (@list @t27 @t25 @t29 @t8 @t6 @t30 @t2) (or @t33 @t32 (not @t31) @t28 @t26))) % 8.31/8.52 (assume @p12 (forall (@list @t30 @t2 @t29 @t8 @t6 @t27 @t25) (or @t31 @t32 @t28 @t26 (not @t33)))) % 8.31/8.52 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t14 @t34))) % 8.31/8.52 (assume @p14 @t37) % 8.31/8.52 (assume @p15 (forall @t15 (or (tptp.defined @t16) @t14))) % 8.31/8.52 (assume @p16 (forall @t36 (or (tptp.defined @t38) @t14 @t34))) % 8.31/8.52 (assume @p17 (tptp.defined tptp.multiplicative_identity)) % 8.31/8.52 (assume @p18 (forall @t15 (or (tptp.defined @t23) @t14 @t22))) % 8.31/8.52 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t14 @t34))) % 8.31/8.52 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t38) @t14 @t34))) % 8.31/8.52 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t41 (not @t39)))) % 8.31/8.52 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t41 (not (tptp.less_or_equal @t6 @t2))))) % 8.31/8.52 (assume @p23 (forall @t36 (or @t40 @t39 @t14 @t34))) % 8.31/8.52 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t41 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 8.31/8.52 (assume @p25 (forall (@list @t2 @t8 @t6) (or (tptp.less_or_equal tptp.additive_identity @t2) (not (tptp.less_or_equal tptp.additive_identity @t8)) (not (tptp.less_or_equal tptp.additive_identity @t6)) @t24))) % 8.31/8.52 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 8.31/8.52 (assume @p27 @t42) % 8.31/8.52 (assume @p28 (tptp.defined tptp.u)) % 8.31/8.52 (assume @p29 @t43) % 8.31/8.52 (assume @p30 @t44) % 8.31/8.52 (assume @p31 (tptp.defined tptp.r)) % 8.31/8.52 (assume @p32 @t45) % 8.31/8.52 (assume @p33 @t46) % 8.31/8.52 (assume @p34 @t47) % 8.31/8.52 (assume @p35 (not @t48)) % 8.31/8.52 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t49 tptp.q tptp.v tptp.r tptp.v tptp.additive_identity))) % 8.31/8.52 (step @p37 :rule instantiate :premises (@p2) :args ((@list tptp.r tptp.additive_identity tptp.q tptp.q tptp.additive_identity tptp.additive_identity))) % 8.31/8.52 (step @p38 :rule instantiate :premises (@p5) :args ((@list tptp.q tptp.additive_identity tptp.q))) % 8.31/8.52 (step @p39 :rule instantiate :premises (@p3) :args ((@list tptp.q))) % 8.31/8.52 (step @p40 :rule cnf_or_pos :args (@t52)) % 8.31/8.52 (step @p41 :rule reordering :premises (@p40) :args ((or @t50 @t51 (not @t52)))) % 8.31/8.52 (step @p42 :rule chain_m_resolution :premises (@p41 @p30 @p39) :args (@t51 @t53 (@list @t44 @t52))) % 8.31/8.52 (step @p43 :rule cnf_or_pos :args (@t56)) % 8.31/8.52 (step @p44 :rule reordering :premises (@p43) :args ((or @t54 @t55 (not @t56)))) % 8.31/8.52 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38) :args (@t55 @t53 (@list @t51 @t56))) % 8.31/8.52 (step @p46 :rule instantiate :premises (@p5) :args ((@list tptp.q tptp.additive_identity tptp.r))) % 8.31/8.52 (step @p47 :rule cnf_or_pos :args (@t59)) % 8.31/8.52 (step @p48 :rule reordering :premises (@p47) :args ((or @t57 @t58 (not @t59)))) % 8.31/8.52 (step @p49 :rule chain_m_resolution :premises (@p48 @p34 @p46) :args (@t58 @t53 (@list @t47 @t59))) % 8.31/8.52 (step @p50 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity))) % 8.31/8.52 (step @p51 :rule cnf_or_pos :args (@t62)) % 8.31/8.52 (step @p52 :rule reordering :premises (@p51) :args ((or @t60 @t61 (not @t62)))) % 8.31/8.52 (step @p53 :rule chain_m_resolution :premises (@p52 @p14 @p50) :args (@t61 @t53 (@list @t37 @t62))) % 8.31/8.52 (step @p54 :rule cnf_or_pos :args (@t67)) % 8.31/8.52 (step @p55 :rule reordering :premises (@p54) :args ((or @t64 @t65 @t63 @t66 (not @t67)))) % 8.31/8.52 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49 @p45 @p37) :args (@t66 (@list false false false false) (@list @t61 @t58 @t55 @t67))) % 8.31/8.52 (step @p57 :rule instantiate :premises (@p5) :args ((@list tptp.v tptp.additive_identity tptp.v))) % 8.31/8.52 (step @p58 :rule instantiate :premises (@p3) :args ((@list tptp.v))) % 8.31/8.52 (step @p59 :rule cnf_or_pos :args (@t70)) % 8.31/8.52 (step @p60 :rule reordering :premises (@p59) :args ((or @t68 @t69 (not @t70)))) % 8.31/8.52 (step @p61 :rule chain_m_resolution :premises (@p60 @p29 @p58) :args (@t69 @t53 (@list @t43 @t70))) % 8.31/8.52 (step @p62 :rule cnf_or_pos :args (@t73)) % 8.31/8.52 (step @p63 :rule reordering :premises (@p62) :args ((or @t71 @t72 (not @t73)))) % 8.31/8.52 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p57) :args (@t72 @t53 (@list @t69 @t73))) % 8.31/8.52 (step @p65 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.u tptp.v @t49 tptp.a tptp.q))) % 8.31/8.52 (step @p66 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 8.31/8.52 (step @p67 :rule cnf_or_pos :args (@t76)) % 8.31/8.52 (step @p68 :rule reordering :premises (@p67) :args ((or @t74 @t75 (not @t76)))) % 8.31/8.52 (step @p69 :rule chain_m_resolution :premises (@p68 @p27 @p66) :args (@t75 @t53 (@list @t42 @t76))) % 8.31/8.52 (step @p70 :rule cnf_or_pos :args (@t81)) % 8.31/8.52 (step @p71 :rule reordering :premises (@p70) :args ((or @t48 @t79 @t80 @t78 (not @t81)))) % 8.31/8.52 (step @p72 :rule chain_m_resolution :premises (@p71 @p35 @p32 @p69 @p65) :args (@t78 @t82 (@list @t48 @t45 @t75 @t81))) % 8.31/8.52 (step @p73 :rule cnf_or_pos :args (@t87)) % 8.31/8.52 (step @p74 :rule reordering :premises (@p73) :args ((or @t77 @t83 @t84 @t86 (not @t87)))) % 8.31/8.52 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p64 @p56 @p36) :args (@t86 @t82 (@list @t77 @t72 @t66 @t87))) % 8.31/8.52 (step @p76 :rule cnf_or_pos :args (@t89)) % 8.31/8.52 (step @p77 :rule reordering :premises (@p76) :args ((or @t88 @t71 @t80 @t85 @t90))) % 8.31/8.52 (step @p78 :rule chain_m_resolution :premises (@p77 @p33 @p61 @p69 @p75) :args (@t90 (@list false false false true) (@list @t46 @t69 @t75 @t85))) % 8.31/8.52 (assume-push @p85 @t12) % 8.31/8.52 (step @p80 :rule instantiate :premises (@p1) :args ((@list @t49 tptp.r tptp.v tptp.a tptp.additive_identity tptp.v))) % 8.31/8.52 (step-pop @p86 :rule scope :premises (@p80)) % 8.31/8.52 (step @p81 :rule process_scope :premises (@p86) :args (@t89)) % 8.31/8.52 (step @p83 :rule implies_elim :premises (@p81)) % 8.31/8.52 (step @p84 false :rule chain_m_resolution :premises (@p83 @p78 @p1) :args (false (@list true false) (@list @t89 @t12))) % 8.31/8.52 ) % 8.31/8.52 % SZS output end Proof % 8.31/8.52 % cvc5 exiting %------------------------------------------------------------------------------