%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO004-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:08:59 AM UTC 2026 % Result : Unsatisfiable 0.85s 1.04s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : BOO004-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:34:47 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.04 % SZS status Unsatisfiable % 0.85/1.04 % SZS output start Proof % 0.85/1.04 ( % 0.85/1.04 (declare-sort $$unsorted 0) % 0.85/1.04 (declare-const tptp.x $$unsorted) % 0.85/1.04 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.multiplicative_identity $$unsorted) % 0.85/1.04 (declare-const tptp.additive_identity $$unsorted) % 0.85/1.04 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.04 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.04 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.04 (define @t1 () (@var "Y" $$unsorted)) % 0.85/1.04 (define @t2 () (@var "X" $$unsorted)) % 0.85/1.04 (define @t3 () (@list @t2 @t1)) % 0.85/1.04 (define @t4 () (@var "Z" $$unsorted)) % 0.85/1.04 (define @t5 () (@list @t2 @t1 @t4)) % 0.85/1.04 (define @t6 () (@list @t2)) % 0.85/1.04 (define @t7 () (@var "V4" $$unsorted)) % 0.85/1.04 (define @t8 () (@var "V2" $$unsorted)) % 0.85/1.04 (define @t9 () (@var "V1" $$unsorted)) % 0.85/1.04 (define @t10 () (tptp.sum @t9 @t8 @t7)) % 0.85/1.04 (define @t11 () (@var "V3" $$unsorted)) % 0.85/1.04 (define @t12 () (tptp.product @t2 @t11 @t7)) % 0.85/1.04 (define @t13 () (not (tptp.sum @t1 @t4 @t11))) % 0.85/1.04 (define @t14 () (not (tptp.product @t2 @t4 @t8))) % 0.85/1.04 (define @t15 () (not (tptp.product @t2 @t1 @t9))) % 0.85/1.04 (define @t16 () (@list @t2 @t1 @t9 @t4 @t8 @t11 @t7)) % 0.85/1.04 (define @t17 () (forall @t16 (or @t15 @t14 @t13 (not @t12) @t10))) % 0.85/1.04 (define @t18 () (not @t10)) % 0.85/1.04 (define @t19 () (tptp.product @t11 @t2 @t7)) % 0.85/1.04 (define @t20 () (not (tptp.product @t4 @t2 @t8))) % 0.85/1.04 (define @t21 () (not (tptp.product @t1 @t2 @t9))) % 0.85/1.04 (define @t22 () (@list @t1 @t2 @t9 @t4 @t8 @t11 @t7)) % 0.85/1.04 (define @t23 () (tptp.product @t9 @t8 @t7)) % 0.85/1.04 (define @t24 () (tptp.sum @t2 @t11 @t7)) % 0.85/1.04 (define @t25 () (not (tptp.product @t1 @t4 @t11))) % 0.85/1.04 (define @t26 () (not (tptp.sum @t2 @t4 @t8))) % 0.85/1.04 (define @t27 () (not (tptp.sum @t2 @t1 @t9))) % 0.85/1.04 (define @t28 () (not @t23)) % 0.85/1.04 (define @t29 () (tptp.sum @t11 @t2 @t7)) % 0.85/1.04 (define @t30 () (not (tptp.sum @t4 @t2 @t8))) % 0.85/1.04 (define @t31 () (not (tptp.sum @t1 @t2 @t9))) % 0.85/1.04 (define @t32 () (tptp.inverse @t2)) % 0.85/1.04 (define @t33 () (@var "V" $$unsorted)) % 0.85/1.04 (define @t34 () (@var "U" $$unsorted)) % 0.85/1.04 (define @t35 () (= @t34 @t33)) % 0.85/1.04 (define @t36 () (@list @t2 @t1 @t34 @t33)) % 0.85/1.04 (define @t37 () (tptp.sum tptp.x tptp.x tptp.x)) % 0.85/1.04 (define @t38 () (@list tptp.x)) % 0.85/1.04 (define @t39 () (tptp.inverse tptp.additive_identity)) % 0.85/1.04 (define @t40 () (@list tptp.multiplicative_identity)) % 0.85/1.04 (define @t41 () (@list tptp.additive_identity)) % 0.85/1.04 (define @t42 () (tptp.product tptp.multiplicative_identity @t39 tptp.multiplicative_identity)) % 0.85/1.04 (define @t43 () (tptp.sum @t39 tptp.additive_identity tptp.multiplicative_identity)) % 0.85/1.04 (define @t44 () (not @t43)) % 0.85/1.04 (define @t45 () (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity)) % 0.85/1.04 (define @t46 () (not @t45)) % 0.85/1.04 (define @t47 () (tptp.product tptp.additive_identity @t39 tptp.additive_identity)) % 0.85/1.04 (define @t48 () (not @t47)) % 0.85/1.04 (define @t49 () (tptp.product tptp.multiplicative_identity @t39 @t39)) % 0.85/1.04 (define @t50 () (not @t49)) % 0.85/1.04 (define @t51 () (or @t50 @t48 @t46 @t44 @t42)) % 0.85/1.04 (define @t52 () (= tptp.multiplicative_identity @t39)) % 0.85/1.04 (define @t53 () (not @t42)) % 0.85/1.04 (define @t54 () (or @t53 @t50 @t52)) % 0.85/1.04 (define @t55 () (@list false false false)) % 0.85/1.04 (define @t56 () (tptp.product @t39 tptp.x tptp.x)) % 0.85/1.04 (define @t57 () (tptp.product tptp.x @t39 tptp.x)) % 0.85/1.04 (define @t58 () (not @t56)) % 0.85/1.04 (define @t59 () (or @t58 @t57)) % 0.85/1.04 (define @t60 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.85/1.04 (define @t61 () (tptp.sum tptp.multiplicative_identity @t39 @t60)) % 0.85/1.04 (define @t62 () (tptp.product tptp.multiplicative_identity @t60 tptp.multiplicative_identity)) % 0.85/1.04 (define @t63 () (tptp.sum tptp.additive_identity @t39 tptp.multiplicative_identity)) % 0.85/1.04 (define @t64 () (not @t63)) % 0.85/1.04 (define @t65 () (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity)) % 0.85/1.04 (define @t66 () (not @t65)) % 0.85/1.04 (define @t67 () (not @t61)) % 0.85/1.04 (define @t68 () (or @t64 @t67 @t66 @t64 @t62)) % 0.85/1.04 (define @t69 () (tptp.product tptp.multiplicative_identity @t60 @t60)) % 0.85/1.04 (define @t70 () (tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity @t60)) % 0.85/1.04 (define @t71 () (not @t70)) % 0.85/1.04 (define @t72 () (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.85/1.04 (define @t73 () (not @t72)) % 0.85/1.04 (define @t74 () (or @t73 @t73 @t71 @t71 @t69)) % 0.85/1.04 (define @t75 () (= tptp.multiplicative_identity @t60)) % 0.85/1.04 (define @t76 () (not @t69)) % 0.85/1.04 (define @t77 () (not @t62)) % 0.85/1.04 (define @t78 () (or @t77 @t76 @t75)) % 0.85/1.04 (define @t79 () (tptp.sum tptp.multiplicative_identity @t39 @t39)) % 0.85/1.04 (define @t80 () (not @t57)) % 0.85/1.04 (define @t81 () (not @t79)) % 0.85/1.04 (define @t82 () (tptp.product tptp.x tptp.multiplicative_identity tptp.x)) % 0.85/1.04 (define @t83 () (not @t82)) % 0.85/1.04 (define @t84 () (or @t83 @t80 @t81 @t80 @t37)) % 0.85/1.04 (define @t85 () (not @t84)) % 0.85/1.04 (assume @p1 (forall @t3 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 0.85/1.04 (assume @p2 (forall @t3 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 0.85/1.04 (assume @p3 (forall @t5 (or (not (tptp.sum @t2 @t1 @t4)) (tptp.sum @t1 @t2 @t4)))) % 0.85/1.04 (assume @p4 (forall @t5 (or (not (tptp.product @t2 @t1 @t4)) (tptp.product @t1 @t2 @t4)))) % 0.85/1.04 (assume @p5 (forall @t6 (tptp.sum tptp.additive_identity @t2 @t2))) % 0.85/1.04 (assume @p6 (forall @t6 (tptp.sum @t2 tptp.additive_identity @t2))) % 0.85/1.04 (assume @p7 (forall @t6 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 0.85/1.04 (assume @p8 (forall @t6 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 0.85/1.04 (assume @p9 @t17) % 0.85/1.04 (assume @p10 (forall @t16 (or @t15 @t14 @t13 @t18 @t12))) % 0.85/1.04 (assume @p11 (forall @t22 (or @t21 @t20 @t13 (not @t19) @t10))) % 0.85/1.04 (assume @p12 (forall @t22 (or @t21 @t20 @t13 @t18 @t19))) % 0.85/1.04 (assume @p13 (forall @t16 (or @t27 @t26 @t25 (not @t24) @t23))) % 0.85/1.04 (assume @p14 (forall @t16 (or @t27 @t26 @t25 @t28 @t24))) % 0.85/1.04 (assume @p15 (forall @t22 (or @t31 @t30 @t25 (not @t29) @t23))) % 0.85/1.04 (assume @p16 (forall @t22 (or @t31 @t30 @t25 @t28 @t29))) % 0.85/1.04 (assume @p17 (forall @t6 (tptp.sum @t32 @t2 tptp.multiplicative_identity))) % 0.85/1.04 (assume @p18 (forall @t6 (tptp.sum @t2 @t32 tptp.multiplicative_identity))) % 0.85/1.04 (assume @p19 (forall @t6 (tptp.product @t32 @t2 tptp.additive_identity))) % 0.85/1.04 (assume @p20 (forall @t6 (tptp.product @t2 @t32 tptp.additive_identity))) % 0.85/1.04 (assume @p21 (forall @t36 (or (not (tptp.sum @t2 @t1 @t34)) (not (tptp.sum @t2 @t1 @t33)) @t35))) % 0.85/1.04 (assume @p22 (forall @t36 (or (not (tptp.product @t2 @t1 @t34)) (not (tptp.product @t2 @t1 @t33)) @t35))) % 0.85/1.04 (assume @p23 (not @t37)) % 0.85/1.04 (step @p24 :rule instantiate :premises (@p8) :args (@t38)) % 0.85/1.04 (step @p25 :rule instantiate :premises (@p4) :args ((@list @t39 tptp.x tptp.x))) % 0.85/1.04 (step @p26 :rule instantiate :premises (@p7) :args (@t38)) % 0.85/1.04 (step @p27 :rule true_intro :premises (@p26)) % 0.85/1.04 (step @p28 :rule refl :args (tptp.x)) % 0.85/1.04 (step @p29 :rule instantiate :premises (@p22) :args ((@list tptp.multiplicative_identity @t39 tptp.multiplicative_identity @t39))) % 0.85/1.04 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t39))) % 0.85/1.04 (step @p31 :rule instantiate :premises (@p12) :args ((@list tptp.multiplicative_identity @t39 @t39 tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) % 0.85/1.04 (step @p32 :rule instantiate :premises (@p6) :args (@t40)) % 0.85/1.04 (step @p33 :rule instantiate :premises (@p20) :args (@t41)) % 0.85/1.04 (step @p34 :rule instantiate :premises (@p17) :args (@t41)) % 0.85/1.04 (step @p35 :rule cnf_or_pos :args (@t51)) % 0.85/1.04 (step @p36 :rule reordering :premises (@p35) :args ((or @t44 @t48 @t46 @t42 @t50 (not @t51)))) % 0.85/1.04 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p33 @p32 @p30 @p31) :args (@t42 (@list false false false false false) (@list @t43 @t47 @t45 @t49 @t51))) % 0.85/1.04 (step @p38 :rule cnf_or_pos :args (@t54)) % 0.85/1.04 (step @p39 :rule reordering :premises (@p38) :args ((or @t53 @t50 @t52 (not @t54)))) % 0.85/1.04 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p30 @p29) :args (@t52 @t55 (@list @t42 @t49 @t54))) % 0.85/1.04 (step @p41 :rule symm :premises (@p40)) % 0.85/1.04 (step @p42 :rule cong :premises (@p41 @p28 @p28) :args (@t56)) % 0.85/1.04 (step @p43 :rule trans :premises (@p42 @p27)) % 0.85/1.04 (step @p44 :rule true_elim :premises (@p43)) % 0.85/1.04 (step @p45 :rule cnf_or_pos :args (@t59)) % 0.85/1.04 (step @p46 :rule reordering :premises (@p45) :args ((or @t58 @t57 (not @t59)))) % 0.85/1.04 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p25) :args (@t57 (@list false false) (@list @t56 @t59))) % 0.85/1.04 (step @p48 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.multiplicative_identity))) % 0.85/1.04 (step @p49 :rule true_intro :premises (@p48)) % 0.85/1.04 (step @p50 :rule refl :args (@t60)) % 0.85/1.04 (step @p51 :rule refl :args (tptp.multiplicative_identity)) % 0.85/1.04 (step @p52 :rule cong :premises (@p51 @p41 @p50) :args (@t61)) % 0.85/1.04 (step @p53 :rule instantiate :premises (@p22) :args ((@list tptp.multiplicative_identity @t60 tptp.multiplicative_identity @t60))) % 0.85/1.04 (step @p54 :rule instantiate :premises (@p15) :args ((@list tptp.additive_identity @t39 tptp.multiplicative_identity tptp.multiplicative_identity @t60 tptp.additive_identity tptp.multiplicative_identity))) % 0.85/1.04 (step @p55 :rule trans :premises (@p52 @p49)) % 0.85/1.04 (step @p56 :rule true_elim :premises (@p55)) % 0.85/1.04 (step @p57 :rule instantiate :premises (@p18) :args (@t41)) % 0.85/1.04 (step @p58 :rule instantiate :premises (@p8) :args (@t41)) % 0.85/1.04 (step @p59 :rule cnf_or_pos :args (@t68)) % 0.85/1.04 (step @p60 :rule factoring :premises (@p59)) % 0.85/1.04 (step @p61 :rule reordering :premises (@p60) :args ((or @t66 @t64 @t67 @t62 (not @t68)))) % 0.85/1.04 (step @p62 :rule chain_m_resolution :premises (@p61 @p58 @p57 @p56 @p54) :args (@t62 (@list false false false false) (@list @t65 @t63 @t61 @t68))) % 0.85/1.04 (step @p63 :rule instantiate :premises (@p10) :args ((@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity @t60 @t60))) % 0.85/1.04 (step @p64 :rule instantiate :premises (@p7) :args (@t40)) % 0.85/1.04 (step @p65 :rule cnf_or_pos :args (@t74)) % 0.85/1.04 (step @p66 :rule factoring :premises (@p65)) % 0.85/1.04 (step @p67 :rule reordering :premises (@p66) :args ((or @t73 @t71 @t69 (not @t74)))) % 0.85/1.04 (step @p68 :rule chain_m_resolution :premises (@p67 @p64 @p48 @p63) :args (@t69 @t55 (@list @t72 @t70 @t74))) % 0.85/1.04 (step @p69 :rule cnf_or_pos :args (@t78)) % 0.85/1.04 (step @p70 :rule reordering :premises (@p69) :args ((or @t76 @t77 @t75 (not @t78)))) % 0.85/1.04 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p62 @p53) :args (@t75 @t55 (@list @t69 @t62 @t78))) % 0.85/1.04 (step @p72 :rule refl :args (@t39)) % 0.85/1.04 (step @p73 :rule cong :premises (@p41 @p72 @p71) :args ((tptp.sum @t39 @t39 tptp.multiplicative_identity))) % 0.85/1.04 (step @p74 :rule cong :premises (@p40 @p40 @p51) :args ((tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) % 0.85/1.04 (step @p75 :rule cong :premises (@p51 @p41 @p41) :args (@t79)) % 0.85/1.04 (step @p76 :rule trans :premises (@p75 @p74 @p73 @p52 @p49)) % 0.85/1.04 (step @p77 :rule true_elim :premises (@p76)) % 0.85/1.04 (step @p78 :rule cnf_or_pos :args (@t84)) % 0.85/1.04 (step @p79 :rule factoring :premises (@p78)) % 0.85/1.04 (step @p80 :rule reordering :premises (@p79) :args ((or @t37 @t81 @t80 @t83 @t85))) % 0.85/1.04 (step @p81 :rule chain_m_resolution :premises (@p80 @p23 @p77 @p47 @p24) :args (@t85 (@list true false false false) (@list @t37 @t79 @t57 @t82))) % 0.85/1.04 (assume-push @p88 @t17) % 0.85/1.04 (step @p83 :rule instantiate :premises (@p9) :args ((@list tptp.x tptp.multiplicative_identity tptp.x @t39 tptp.x @t39 tptp.x))) % 0.85/1.04 (step-pop @p89 :rule scope :premises (@p83)) % 0.85/1.04 (step @p84 :rule process_scope :premises (@p89) :args (@t84)) % 0.85/1.04 (step @p86 :rule implies_elim :premises (@p84)) % 0.85/1.04 (step @p87 false :rule chain_m_resolution :premises (@p86 @p81 @p9) :args (false (@list true false) (@list @t84 @t17))) % 0.85/1.04 ) % 0.85/1.05 % SZS output end Proof % 0.85/1.05 % cvc5 exiting %------------------------------------------------------------------------------