%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN965+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:10:09 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN965+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:50:32 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.p (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.p @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t5 () (tptp.p @t2 @t4)) % 0.37/0.56 (define @t6 () (tptp.p @t4 @t2)) % 0.37/0.56 (define @t7 () (and @t6 @t5)) % 0.37/0.56 (define @t8 () (=> @t7 @t3)) % 0.37/0.56 (define @t9 () (@var "W" $$unsorted)) % 0.37/0.56 (define @t10 () (tptp.p @t9 @t2)) % 0.37/0.56 (define @t11 () (@list @t9)) % 0.37/0.56 (define @t12 () (exists @t11 @t10)) % 0.37/0.56 (define @t13 () (=> @t3 @t12)) % 0.37/0.56 (define @t14 () (and @t13 @t8)) % 0.37/0.56 (define @t15 () (@list @t2)) % 0.37/0.56 (define @t16 () (exists @t15 @t14)) % 0.37/0.56 (define @t17 () (@list @t1)) % 0.37/0.56 (define @t18 () (forall @t17 @t16)) % 0.37/0.56 (define @t19 () (@list @t4)) % 0.37/0.56 (define @t20 () (exists @t19 @t18)) % 0.37/0.56 (define @t21 () (not @t20)) % 0.37/0.56 (define @t22 () (not @t3)) % 0.37/0.56 (define @t23 () (and @t6 @t5 @t22)) % 0.37/0.56 (define @t24 () (@var "BOUND_VARIABLE_7446" $$unsorted)) % 0.37/0.56 (define @t25 () (not (tptp.p @t24 @t2))) % 0.37/0.56 (define @t26 () (and @t3 @t25)) % 0.37/0.56 (define @t27 () (or @t26 @t23)) % 0.37/0.56 (define @t28 () (@list @t2 @t24)) % 0.37/0.56 (define @t29 () (forall @t28 @t27)) % 0.37/0.56 (define @t30 () (forall @t17 (not @t29))) % 0.37/0.56 (define @t31 () (forall @t19 (not @t30))) % 0.37/0.56 (define @t32 () (@list @t24)) % 0.37/0.56 (define @t33 () (forall @t32 @t27)) % 0.37/0.56 (define @t34 () (forall @t32 @t25)) % 0.37/0.56 (define @t35 () (forall @t32 @t3)) % 0.37/0.56 (define @t36 () (and @t35 @t34)) % 0.37/0.56 (define @t37 () (forall @t32 @t26)) % 0.37/0.56 (define @t38 () (or @t37 @t23)) % 0.37/0.56 (define @t39 () (forall @t11 (not @t10))) % 0.37/0.56 (define @t40 () (not @t39)) % 0.37/0.56 (define @t41 () (=> @t3 @t40)) % 0.37/0.56 (define @t42 () (and @t41 @t8)) % 0.37/0.56 (define @t43 () (forall @t15 (not @t42))) % 0.37/0.56 (define @t44 () (not @t43)) % 0.37/0.56 (define @t45 () (@const 0 $$unsorted)) % 0.37/0.56 (define @t46 () (tptp.p @t2 @t45)) % 0.37/0.56 (define @t47 () (tptp.p @t45 @t2)) % 0.37/0.56 (define @t48 () (forall @t17 (not (forall @t28 (or @t26 (and @t47 @t46 @t22)))))) % 0.37/0.56 (define @t49 () (@quantifiers_skolemize @t48 0)) % 0.37/0.56 (define @t50 () (tptp.p @t2 @t49)) % 0.37/0.56 (define @t51 () (forall @t28 (or (and @t50 @t25) (and @t47 @t46 (not @t50))))) % 0.37/0.56 (define @t52 () (not @t48)) % 0.37/0.56 (define @t53 () (not (not @t51))) % 0.37/0.56 (define @t54 () (tptp.p @t49 @t49)) % 0.37/0.56 (define @t55 () (not @t54)) % 0.37/0.56 (define @t56 () (tptp.p @t49 @t45)) % 0.37/0.56 (define @t57 () (tptp.p @t45 @t49)) % 0.37/0.56 (define @t58 () (and @t57 @t56 @t55)) % 0.37/0.56 (define @t59 () (not @t57)) % 0.37/0.56 (define @t60 () (and @t54 @t59)) % 0.37/0.56 (define @t61 () (or @t60 @t58)) % 0.37/0.56 (define @t62 () (and @t54 @t55)) % 0.37/0.56 (define @t63 () (or @t62 @t58)) % 0.37/0.56 (define @t64 () (not @t58)) % 0.37/0.56 (define @t65 () (@list false)) % 0.37/0.56 (define @t66 () (@list @t58)) % 0.37/0.56 (define @t67 () (tptp.p @t45 @t45)) % 0.37/0.56 (define @t68 () (and @t67 @t67 @t59)) % 0.37/0.56 (define @t69 () (not @t68)) % 0.37/0.56 (define @t70 () (not @t56)) % 0.37/0.56 (define @t71 () (and @t57 @t70)) % 0.37/0.56 (define @t72 () (not @t71)) % 0.37/0.56 (define @t73 () (or @t71 @t68)) % 0.37/0.56 (assume @p1 @t21) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule bool-double-not-elim :args (@t31)) % 0.37/0.56 (step @p4 :rule exists-elim :args ((= (exists @t19 @t30) (not @t31)))) % 0.37/0.56 (step @p5 :rule quant-merge-prenex :args ((= (forall @t15 @t33) @t29))) % 0.37/0.56 (step @p6 :rule refl :args (@t23)) % 0.37/0.56 (step @p7 :rule alpha_equiv :args (@t34 (@list @t24) (@list @t9))) % 0.37/0.56 (step @p8 :rule quant-unused-vars :args ((= @t35 @t3))) % 0.37/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t36)) % 0.37/0.56 (step @p10 :rule quant-miniscope-and :args ((= @t37 @t36))) % 0.37/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.56 (step @p12 :rule nary_cong :premises (@p11 @p6) :args (@t38)) % 0.37/0.56 (step @p13 :rule quant-miniscope-or :args ((= @t33 @t38))) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p12)) % 0.37/0.56 (step @p15 :rule symm :premises (@p14)) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t15 (or (and @t3 @t39) @t23)))) % 0.37/0.56 (step @p17 :rule trans :premises (@p16 @p5)) % 0.37/0.56 (step @p18 :rule aci_norm :args ((= (and @t7 @t22) @t23))) % 0.37/0.56 (step @p19 :rule bool-implies-de-morgan :args (@t7 @t3)) % 0.37/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.56 (step @p21 :rule bool-double-not-elim :args (@t39)) % 0.37/0.56 (step @p22 :rule refl :args (@t3)) % 0.37/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((and @t3 (not @t40)))) % 0.37/0.56 (step @p24 :rule bool-implies-de-morgan :args (@t3 @t40)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.56 (step @p26 :rule nary_cong :premises (@p25 @p20) :args ((or (not @t41) (not @t8)))) % 0.37/0.56 (step @p27 :rule bool-and-de-morgan :args (@t41 @t8 true)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28) :args (@t43)) % 0.37/0.56 (step @p30 :rule trans :premises (@p29 @p17)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30) :args (@t44)) % 0.37/0.56 (step @p32 :rule exists-elim :args ((= (exists @t15 @t42) @t44))) % 0.37/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.37/0.56 (step @p34 :rule refl :args (@t8)) % 0.37/0.56 (step @p35 :rule exists-elim :args ((= @t12 @t40))) % 0.37/0.56 (step @p36 :rule refl :args (@t3)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args (@t13)) % 0.37/0.56 (step @p38 :rule nary_cong :premises (@p37 @p34) :args (@t14)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38) :args (@t16)) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p33)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40) :args (@t18)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args (@t20)) % 0.37/0.56 (step @p43 :rule trans :premises (@p42 @p4)) % 0.37/0.56 (step @p44 :rule cong :premises (@p43) :args (@t21)) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p3)) % 0.37/0.56 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.37/0.56 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t45))) % 0.37/0.56 (step @p48 :rule refl :args (@t51)) % 0.37/0.56 (step @p49 :rule bool-double-not-elim :args (@t48)) % 0.37/0.56 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t52) @t51))) % 0.37/0.56 (step @p51 :rule bool-double-not-elim :args (@t51)) % 0.37/0.56 (step @p52 :rule refl :args (@t52)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t52 @t53))) % 0.37/0.56 (assume-push @p89 @t52) % 0.37/0.56 (step @p55 :rule skolemize :premises (@p47)) % 0.37/0.56 (step-pop @p90 :rule scope :premises (@p55)) % 0.37/0.56 (step @p56 :rule process_scope :premises (@p90) :args (@t53)) % 0.37/0.56 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.37/0.56 (step @p59 :rule implies_elim :premises (@p58)) % 0.37/0.56 (step @p60 :rule eq_resolve :premises (@p59 @p50)) % 0.37/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p47) :args (@t51 (@list true) (@list @t48))) % 0.37/0.56 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t45 @t49))) % 0.37/0.56 (step @p63 :rule instantiate :premises (@p61) :args ((@list @t49 @t45))) % 0.37/0.56 (step @p64 :rule cnf_or_pos :args (@t61)) % 0.37/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t60 @t58 (not @t61)))) % 0.37/0.56 (step @p66 :rule instantiate :premises (@p61) :args ((@list @t49 @t49))) % 0.37/0.56 (step @p67 :rule cnf_or_pos :args (@t63)) % 0.37/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t58 @t62 (not @t63)))) % 0.37/0.56 (step @p69 :rule cnf_and_pos :args (@t60 0)) % 0.37/0.56 (step @p70 :rule reordering :premises (@p69) :args ((or @t54 (not @t60)))) % 0.37/0.56 (step @p71 :rule cnf_and_pos :args (@t62 1)) % 0.37/0.56 (step @p72 :rule reordering :premises (@p71) :args ((or @t55 (not @t62)))) % 0.37/0.56 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p68 @p66 @p65 @p63) :args (@t58 (@list false false false false false) (@list @t54 @t62 @t63 @t60 @t61))) % 0.37/0.56 (step @p74 :rule cnf_and_pos :args (@t58 0)) % 0.37/0.56 (step @p75 :rule reordering :premises (@p74) :args ((or @t57 @t64))) % 0.37/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t57 @t65 @t66)) % 0.37/0.56 (step @p77 :rule cnf_and_pos :args (@t68 2)) % 0.37/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t59 @t69))) % 0.37/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t69 @t65 (@list @t57))) % 0.37/0.56 (step @p80 :rule cnf_and_pos :args (@t58 1)) % 0.37/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t56 @t64))) % 0.37/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p73) :args (@t56 @t65 @t66)) % 0.37/0.56 (step @p83 :rule cnf_and_pos :args (@t71 1)) % 0.37/0.56 (step @p84 :rule reordering :premises (@p83) :args ((or @t70 @t72))) % 0.37/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t72 @t65 (@list @t56))) % 0.37/0.56 (step @p86 :rule cnf_or_pos :args (@t73)) % 0.37/0.56 (step @p87 :rule reordering :premises (@p86) :args ((or @t68 @t71 (not @t73)))) % 0.37/0.56 (step @p88 false :rule chain_m_resolution :premises (@p87 @p85 @p79 @p62) :args (false (@list true true false) (@list @t71 @t68 @t73))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------