%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN063+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:07:57 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN063+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n028.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 23:20:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.a $$unsorted) % 0.30/0.54 (declare-const tptp.b $$unsorted) % 0.30/0.54 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.c $$unsorted) % 0.30/0.54 (define @t1 () (tptp.big_p tptp.c)) % 0.30/0.54 (define @t2 () (tptp.big_p tptp.b)) % 0.30/0.54 (define @t3 () (not @t2)) % 0.30/0.54 (define @t4 () (tptp.big_p tptp.a)) % 0.30/0.54 (define @t5 () (not @t4)) % 0.30/0.54 (define @t6 () (or @t5 @t3 @t1)) % 0.30/0.54 (define @t7 () (@var "X1" $$unsorted)) % 0.30/0.54 (define @t8 () (or @t5 (tptp.big_p @t7) @t1)) % 0.30/0.54 (define @t9 () (@list @t7)) % 0.30/0.54 (define @t10 () (forall @t9 (and @t8 @t6))) % 0.30/0.54 (define @t11 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t12 () (tptp.big_p @t11)) % 0.30/0.54 (define @t13 () (=> @t12 @t2)) % 0.30/0.54 (define @t14 () (and @t4 @t13)) % 0.30/0.54 (define @t15 () (@list @t11)) % 0.30/0.54 (define @t16 () (forall @t15 (=> @t14 @t1))) % 0.30/0.54 (define @t17 () (= @t16 @t10)) % 0.30/0.54 (define @t18 () (not @t17)) % 0.30/0.54 (define @t19 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.30/0.54 (define @t20 () (tptp.big_p @t19)) % 0.30/0.54 (define @t21 () (@list @t19)) % 0.30/0.54 (define @t22 () (forall @t21 @t20)) % 0.30/0.54 (define @t23 () (or @t5 @t1 @t22)) % 0.30/0.54 (define @t24 () (and @t23 @t6)) % 0.30/0.54 (define @t25 () (not @t24)) % 0.30/0.54 (define @t26 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.30/0.54 (define @t27 () (forall (@list @t26) (tptp.big_p @t26))) % 0.30/0.54 (define @t28 () (@list @t26)) % 0.30/0.54 (define @t29 () (@list @t19)) % 0.30/0.54 (define @t30 () (not @t27)) % 0.30/0.54 (define @t31 () (or @t5 @t1 @t20)) % 0.30/0.54 (define @t32 () (or @t5 @t20 @t1)) % 0.30/0.54 (define @t33 () (forall @t21 @t32)) % 0.30/0.54 (define @t34 () (forall @t9 @t6)) % 0.30/0.54 (define @t35 () (forall @t9 @t8)) % 0.30/0.54 (define @t36 () (and @t35 @t34)) % 0.30/0.54 (define @t37 () (forall @t15 @t3)) % 0.30/0.54 (define @t38 () (forall @t15 @t12)) % 0.30/0.54 (define @t39 () (and @t38 @t37)) % 0.30/0.54 (define @t40 () (and @t12 @t3)) % 0.30/0.54 (define @t41 () (forall @t15 @t40)) % 0.30/0.54 (define @t42 () (or @t5 @t1 @t41)) % 0.30/0.54 (define @t43 () (or @t5 @t1 @t40)) % 0.30/0.54 (define @t44 () (or @t5 @t40 @t1)) % 0.30/0.54 (define @t45 () (and @t27 @t3)) % 0.30/0.54 (define @t46 () (not @t45)) % 0.30/0.54 (define @t47 () (or @t5 @t1 @t45)) % 0.30/0.54 (define @t48 () (not @t5)) % 0.30/0.54 (define @t49 () (not @t23)) % 0.30/0.54 (define @t50 () (not @t6)) % 0.30/0.54 (define @t51 () (not @t3)) % 0.30/0.54 (define @t52 () (@list false)) % 0.30/0.54 (define @t53 () (@list true)) % 0.30/0.54 (define @t54 () (@list @t6)) % 0.30/0.54 (assume @p1 @t18) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule cnf_or_neg :args (@t23 1)) % 0.30/0.54 (step @p4 :rule cnf_or_neg :args (@t23 2)) % 0.30/0.54 (step @p5 :rule cnf_and_pos :args (@t24 0)) % 0.30/0.54 (step @p6 :rule reordering :premises (@p5) :args ((or @t23 @t25))) % 0.30/0.54 (step @p7 :rule alpha_equiv :args (@t27 @t28 @t29)) % 0.30/0.54 (step @p8 :rule equiv_elim1 :premises (@p7)) % 0.30/0.54 (step @p9 :rule reordering :premises (@p8) :args ((or @t22 @t30))) % 0.30/0.54 (step @p10 :rule refl :args (@t6)) % 0.30/0.54 (step @p11 :rule quant-miniscope-or :args ((= (forall @t21 @t31) @t23))) % 0.30/0.54 (step @p12 :rule aci_norm :args ((= @t32 @t31))) % 0.30/0.54 (step @p13 :rule cong :premises (@p12) :args (@t33)) % 0.30/0.54 (step @p14 :rule trans :premises (@p13 @p11)) % 0.30/0.54 (step @p15 :rule nary_cong :premises (@p14 @p10) :args ((and @t33 @t6))) % 0.30/0.54 (step @p16 :rule quant-unused-vars :args ((= @t34 @t6))) % 0.30/0.54 (step @p17 :rule alpha_equiv :args (@t35 (@list @t7) @t29)) % 0.30/0.54 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t36)) % 0.30/0.54 (step @p19 :rule quant-miniscope-and :args ((= @t10 @t36))) % 0.30/0.54 (step @p20 :rule trans :premises (@p19 @p18)) % 0.30/0.54 (step @p21 :rule trans :premises (@p20 @p15)) % 0.30/0.54 (step @p22 :rule quant-unused-vars :args ((= @t37 @t3))) % 0.30/0.54 (step @p23 :rule alpha_equiv :args (@t38 (@list @t11) @t28)) % 0.30/0.54 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t39)) % 0.30/0.54 (step @p25 :rule quant-miniscope-and :args ((= @t41 @t39))) % 0.30/0.54 (step @p26 :rule trans :premises (@p25 @p24)) % 0.30/0.54 (step @p27 :rule refl :args (@t1)) % 0.30/0.54 (step @p28 :rule refl :args (@t5)) % 0.30/0.54 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t42)) % 0.30/0.54 (step @p30 :rule quant-miniscope-or :args ((= (forall @t15 @t43) @t42))) % 0.30/0.54 (step @p31 :rule aci_norm :args ((= @t44 @t43))) % 0.30/0.54 (step @p32 :rule cong :premises (@p31) :args ((forall @t15 @t44))) % 0.30/0.54 (step @p33 :rule trans :premises (@p32 @p30)) % 0.30/0.54 (step @p34 :rule trans :premises (@p33 @p29)) % 0.30/0.54 (step @p35 :rule aci_norm :args ((= (or (or @t5 @t40) @t1) @t44))) % 0.30/0.54 (step @p36 :rule refl :args (@t1)) % 0.30/0.54 (step @p37 :rule bool-implies-de-morgan :args (@t12 @t2)) % 0.30/0.54 (step @p38 :rule refl :args (@t5)) % 0.30/0.54 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t5 (not @t13)))) % 0.30/0.54 (step @p40 :rule bool-and-de-morgan :args (@t4 @t13 true)) % 0.30/0.54 (step @p41 :rule trans :premises (@p40 @p39)) % 0.30/0.54 (step @p42 :rule nary_cong :premises (@p41 @p36) :args ((or (not @t14) @t1))) % 0.30/0.54 (step @p43 :rule trans :premises (@p42 @p35)) % 0.30/0.54 (step @p44 :rule bool-impl-elim :args (@t14 @t1)) % 0.30/0.54 (step @p45 :rule trans :premises (@p44 @p43)) % 0.30/0.54 (step @p46 :rule cong :premises (@p45) :args (@t16)) % 0.30/0.54 (step @p47 :rule trans :premises (@p46 @p34)) % 0.30/0.54 (step @p48 :rule cong :premises (@p47 @p21) :args (@t17)) % 0.30/0.54 (step @p49 :rule cong :premises (@p48) :args (@t18)) % 0.30/0.54 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.30/0.54 (step @p51 :rule not_equiv_elim1 :premises (@p50)) % 0.30/0.54 (step @p52 :rule cnf_and_pos :args (@t45 0)) % 0.30/0.54 (step @p53 :rule reordering :premises (@p52) :args ((or @t27 @t46))) % 0.30/0.54 (step @p54 :rule bool-double-not-elim :args (@t4)) % 0.30/0.54 (step @p55 :rule refl :args (@t47)) % 0.30/0.54 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t47 @t48))) % 0.30/0.54 (step @p57 :rule cnf_or_neg :args (@t47 0)) % 0.30/0.54 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.30/0.54 (step @p59 :rule reordering :premises (@p58) :args ((or @t4 @t47))) % 0.30/0.54 (step @p60 :rule refl :args (@t23)) % 0.30/0.54 (step @p61 :rule nary_cong :premises (@p60 @p54) :args ((or @t23 @t48))) % 0.30/0.54 (step @p62 :rule cnf_or_neg :args (@t23 0)) % 0.30/0.54 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.30/0.54 (step @p64 :rule reordering :premises (@p63) :args ((or @t4 @t23))) % 0.30/0.54 (step @p65 :rule nary_cong :premises (@p10 @p54) :args ((or @t6 @t48))) % 0.30/0.54 (step @p66 :rule cnf_or_neg :args (@t6 0)) % 0.30/0.54 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.30/0.54 (step @p68 :rule reordering :premises (@p67) :args ((or @t4 @t6))) % 0.30/0.54 (step @p69 :rule not_equiv_elim2 :premises (@p50)) % 0.30/0.54 (step @p70 :rule cnf_and_neg :args (@t24)) % 0.30/0.54 (step @p71 :rule chain_m_resolution :premises (@p70 @p69 @p68 @p64 @p59) :args (@t4 (@list true false false false) (@list @t24 @t6 @t23 @t47))) % 0.30/0.54 (step @p72 :rule cnf_or_pos :args (@t47)) % 0.30/0.54 (step @p73 :rule reordering :premises (@p72) :args ((or @t1 @t5 @t45 (not @t47)))) % 0.30/0.54 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p53 @p51 @p9 @p6 @p4 @p3) :args (@t23 (@list false true false true true true true) (@list @t4 @t45 @t47 @t27 @t24 @t22 @t1))) % 0.30/0.54 (step @p75 :rule cnf_or_neg :args (@t47 1)) % 0.30/0.54 (step @p76 :rule cnf_or_neg :args (@t47 2)) % 0.30/0.54 (step @p77 :rule cnf_or_pos :args (@t23)) % 0.30/0.54 (step @p78 :rule reordering :premises (@p77) :args ((or @t1 @t5 @t22 @t49))) % 0.30/0.54 (step @p79 :rule cnf_or_pos :args (@t6)) % 0.30/0.54 (step @p80 :rule reordering :premises (@p79) :args ((or @t1 @t5 @t3 @t50))) % 0.30/0.54 (step @p81 :rule equiv_elim2 :premises (@p7)) % 0.30/0.54 (step @p82 :rule bool-double-not-elim :args (@t2)) % 0.30/0.54 (step @p83 :rule refl :args (@t30)) % 0.30/0.54 (step @p84 :rule refl :args (@t45)) % 0.30/0.54 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82) :args ((or @t45 @t30 @t51))) % 0.30/0.54 (step @p86 :rule cnf_and_neg :args (@t45)) % 0.30/0.54 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.30/0.54 (step @p88 :rule reordering :premises (@p87) :args ((or @t2 @t45 @t30))) % 0.30/0.54 (step @p89 :rule chain_m_resolution :premises (@p88 @p81 @p80 @p71 @p78 @p71 @p76 @p75 @p69 @p70) :args ((or @t49 @t50) (@list false true false false false true true true false) (@list @t27 @t2 @t4 @t22 @t4 @t45 @t1 @t47 @t24))) % 0.30/0.54 (step @p90 :rule chain_m_resolution :premises (@p89 @p74) :args (@t50 @t52 (@list @t23))) % 0.30/0.54 (step @p91 :rule cnf_or_neg :args (@t6 2)) % 0.30/0.54 (step @p92 :rule chain_m_resolution :premises (@p91 @p90) :args ((not @t1) @t53 @t54)) % 0.30/0.54 (step @p93 :rule nary_cong :premises (@p10 @p82) :args ((or @t6 @t51))) % 0.30/0.54 (step @p94 :rule cnf_or_neg :args (@t6 1)) % 0.30/0.54 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.30/0.54 (step @p96 :rule reordering :premises (@p95) :args ((or @t2 @t6))) % 0.30/0.54 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t2 @t53 @t54)) % 0.30/0.54 (step @p98 :rule cnf_and_pos :args (@t45 1)) % 0.30/0.54 (step @p99 :rule reordering :premises (@p98) :args ((or @t3 @t46))) % 0.30/0.54 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t46 @t52 (@list @t2))) % 0.30/0.54 (step @p101 :rule cnf_and_pos :args (@t24 1)) % 0.30/0.54 (step @p102 :rule reordering :premises (@p101) :args ((or @t6 @t25))) % 0.30/0.54 (step @p103 :rule chain_m_resolution :premises (@p102 @p90) :args (@t25 @t53 @t54)) % 0.30/0.54 (step @p104 :rule chain_m_resolution :premises (@p51 @p103) :args (@t47 @t53 (@list @t24))) % 0.30/0.54 (step @p105 false :rule chain_m_resolution :premises (@p73 @p104 @p100 @p71 @p92) :args (false (@list false true false true) (@list @t47 @t45 @t4 @t1))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------