%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN318+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:08:31 AM UTC 2026 % Result : Theorem 0.32s 0.54s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN318+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 : Tue Jun 2 23:23:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.54 % SZS status Theorem % 0.32/0.54 % SZS output start Proof % 0.32/0.54 ( % 0.32/0.54 (declare-sort $$unsorted 0) % 0.32/0.54 (declare-const tptp.p Bool) % 0.32/0.54 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.32/0.54 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.32/0.54 (define @t1 () (@var "Y" $$unsorted)) % 0.32/0.54 (define @t2 () (tptp.big_g @t1)) % 0.32/0.54 (define @t3 () (@var "X" $$unsorted)) % 0.32/0.54 (define @t4 () (tptp.big_f @t3)) % 0.32/0.54 (define @t5 () (@list @t3)) % 0.32/0.54 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.32/0.54 (define @t7 () (=> tptp.p @t6)) % 0.32/0.54 (define @t8 () (tptp.big_g @t3)) % 0.32/0.54 (define @t9 () (tptp.big_f @t1)) % 0.32/0.54 (define @t10 () (=> @t9 @t8)) % 0.32/0.54 (define @t11 () (forall @t5 (=> @t4 @t10))) % 0.32/0.54 (define @t12 () (=> @t11 @t7)) % 0.32/0.54 (define @t13 () (@list @t1)) % 0.32/0.54 (define @t14 () (exists @t13 @t12)) % 0.32/0.54 (define @t15 () (not @t14)) % 0.32/0.54 (define @t16 () (not @t4)) % 0.32/0.54 (define @t17 () (forall @t5 @t16)) % 0.32/0.54 (define @t18 () (not @t17)) % 0.32/0.54 (define @t19 () (@var "BOUND_VARIABLE_7461" $$unsorted)) % 0.32/0.54 (define @t20 () (forall (@list @t19) (not (tptp.big_g @t19)))) % 0.32/0.54 (define @t21 () (@var "BOUND_VARIABLE_7454" $$unsorted)) % 0.32/0.54 (define @t22 () (not (tptp.big_f @t21))) % 0.32/0.54 (define @t23 () (@list @t21)) % 0.32/0.54 (define @t24 () (forall @t23 @t22)) % 0.32/0.54 (define @t25 () (or @t16 @t8)) % 0.32/0.54 (define @t26 () (forall @t5 @t25)) % 0.32/0.54 (define @t27 () (or @t26 @t24)) % 0.32/0.54 (define @t28 () (or @t26 @t22)) % 0.32/0.54 (define @t29 () (or @t22 @t26)) % 0.32/0.54 (define @t30 () (forall @t23 @t29)) % 0.32/0.54 (define @t31 () (forall @t13 @t18)) % 0.32/0.54 (define @t32 () (not @t2)) % 0.32/0.54 (define @t33 () (forall @t13 @t32)) % 0.32/0.54 (define @t34 () (@list @t1)) % 0.32/0.54 (define @t35 () (forall @t13 tptp.p)) % 0.32/0.54 (define @t36 () (not @t9)) % 0.32/0.54 (define @t37 () (or @t36 @t26)) % 0.32/0.54 (define @t38 () (forall @t13 @t37)) % 0.32/0.54 (define @t39 () (@list @t21)) % 0.32/0.54 (define @t40 () (and @t38 @t35 @t33 @t31)) % 0.32/0.54 (define @t41 () (and @t37 tptp.p @t32 @t18)) % 0.32/0.54 (define @t42 () (and tptp.p @t32 @t18)) % 0.32/0.54 (define @t43 () (or @t2 @t17)) % 0.32/0.54 (define @t44 () (=> tptp.p @t43)) % 0.32/0.54 (define @t45 () (=> @t37 @t44)) % 0.32/0.54 (define @t46 () (forall @t13 (not @t45))) % 0.32/0.54 (define @t47 () (not @t46)) % 0.32/0.54 (define @t48 () (or @t2 @t16)) % 0.32/0.54 (define @t49 () (or @t16 @t2)) % 0.32/0.54 (define @t50 () (or @t36 @t25)) % 0.32/0.54 (define @t51 () (or @t16 @t36 @t8)) % 0.32/0.54 (define @t52 () (not @t24)) % 0.32/0.54 (define @t53 () (@list true)) % 0.32/0.54 (define @t54 () (@list @t24)) % 0.32/0.54 (define @t55 () (@quantifiers_skolemize @t24 0)) % 0.32/0.54 (define @t56 () (@list @t55)) % 0.32/0.54 (define @t57 () (tptp.big_f @t55)) % 0.32/0.54 (define @t58 () (not @t57)) % 0.32/0.54 (define @t59 () (not @t58)) % 0.32/0.54 (define @t60 () (tptp.big_g @t55)) % 0.32/0.54 (define @t61 () (or @t58 @t60)) % 0.32/0.54 (define @t62 () (@list false false)) % 0.32/0.54 (assume @p1 @t15) % 0.32/0.54 (assume @p2 true) % 0.32/0.54 (step @p3 :rule bool-double-not-elim :args ((and @t27 tptp.p @t20 @t18))) % 0.32/0.54 (step @p4 :rule refl :args (@t18)) % 0.32/0.54 (step @p5 :rule refl :args (@t20)) % 0.32/0.54 (step @p6 :rule refl :args (tptp.p)) % 0.32/0.54 (step @p7 :rule quant-miniscope-or :args ((= (forall @t23 @t28) @t27))) % 0.32/0.54 (step @p8 :rule aci_norm :args ((= @t29 @t28))) % 0.32/0.54 (step @p9 :rule cong :premises (@p8) :args (@t30)) % 0.32/0.54 (step @p10 :rule trans :premises (@p9 @p7)) % 0.32/0.54 (step @p11 :rule nary_cong :premises (@p10 @p6 @p5 @p4) :args ((and @t30 tptp.p @t20 @t18))) % 0.32/0.54 (step @p12 :rule quant-unused-vars :args ((= @t31 @t18))) % 0.32/0.54 (step @p13 :rule alpha_equiv :args (@t33 @t34 (@list @t19))) % 0.32/0.54 (step @p14 :rule quant-unused-vars :args ((= @t35 tptp.p))) % 0.32/0.54 (step @p15 :rule alpha_equiv :args (@t38 @t34 @t39)) % 0.32/0.54 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13 @p12) :args (@t40)) % 0.32/0.54 (step @p17 :rule quant-miniscope-and :args ((= (forall @t13 @t41) @t40))) % 0.32/0.54 (step @p18 :rule trans :premises (@p17 @p16)) % 0.32/0.54 (step @p19 :rule trans :premises (@p18 @p11)) % 0.32/0.54 (step @p20 :rule aci_norm :args ((= (and @t37 @t42) @t41))) % 0.32/0.54 (step @p21 :rule aci_norm :args ((= (and tptp.p (and @t32 @t18)) @t42))) % 0.32/0.54 (step @p22 :rule bool-or-de-morgan :args (@t2 @t17 false)) % 0.32/0.54 (step @p23 :rule refl :args (tptp.p)) % 0.32/0.54 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((and tptp.p (not @t43)))) % 0.32/0.54 (step @p25 :rule trans :premises (@p24 @p21)) % 0.32/0.54 (step @p26 :rule bool-implies-de-morgan :args (tptp.p @t43)) % 0.32/0.54 (step @p27 :rule trans :premises (@p26 @p25)) % 0.32/0.54 (step @p28 :rule refl :args (@t37)) % 0.32/0.54 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((and @t37 (not @t44)))) % 0.32/0.54 (step @p30 :rule trans :premises (@p29 @p20)) % 0.32/0.54 (step @p31 :rule bool-implies-de-morgan :args (@t37 @t44)) % 0.32/0.55 (step @p32 :rule trans :premises (@p31 @p30)) % 0.32/0.55 (step @p33 :rule cong :premises (@p32) :args (@t46)) % 0.32/0.55 (step @p34 :rule trans :premises (@p33 @p19)) % 0.32/0.55 (step @p35 :rule cong :premises (@p34) :args (@t47)) % 0.32/0.55 (step @p36 :rule exists-elim :args ((= (exists @t13 @t45) @t47))) % 0.32/0.55 (step @p37 :rule trans :premises (@p36 @p35)) % 0.32/0.55 (step @p38 :rule quant-miniscope-or :args ((= (forall @t5 @t48) @t43))) % 0.32/0.55 (step @p39 :rule aci_norm :args ((= @t49 @t48))) % 0.32/0.55 (step @p40 :rule cong :premises (@p39) :args ((forall @t5 @t49))) % 0.32/0.55 (step @p41 :rule trans :premises (@p40 @p38)) % 0.32/0.55 (step @p42 :rule bool-impl-elim :args (@t4 @t2)) % 0.32/0.55 (step @p43 :rule cong :premises (@p42) :args (@t6)) % 0.32/0.55 (step @p44 :rule trans :premises (@p43 @p41)) % 0.32/0.55 (step @p45 :rule cong :premises (@p6 @p44) :args (@t7)) % 0.32/0.55 (step @p46 :rule quant-miniscope-or :args ((= (forall @t5 @t50) @t37))) % 0.32/0.55 (step @p47 :rule aci_norm :args ((= @t51 @t50))) % 0.32/0.55 (step @p48 :rule cong :premises (@p47) :args ((forall @t5 @t51))) % 0.32/0.55 (step @p49 :rule trans :premises (@p48 @p46)) % 0.32/0.55 (step @p50 :rule aci_norm :args ((= (or @t16 (or @t36 @t8)) @t51))) % 0.32/0.55 (step @p51 :rule bool-impl-elim :args (@t9 @t8)) % 0.32/0.55 (step @p52 :rule refl :args (@t16)) % 0.32/0.55 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t16 @t10))) % 0.32/0.55 (step @p54 :rule trans :premises (@p53 @p50)) % 0.32/0.55 (step @p55 :rule bool-impl-elim :args (@t4 @t10)) % 0.32/0.55 (step @p56 :rule trans :premises (@p55 @p54)) % 0.32/0.55 (step @p57 :rule cong :premises (@p56) :args (@t11)) % 0.32/0.55 (step @p58 :rule trans :premises (@p57 @p49)) % 0.32/0.55 (step @p59 :rule cong :premises (@p58 @p45) :args (@t12)) % 0.32/0.55 (step @p60 :rule cong :premises (@p59) :args (@t14)) % 0.32/0.55 (step @p61 :rule trans :premises (@p60 @p37)) % 0.32/0.55 (step @p62 :rule cong :premises (@p61) :args (@t15)) % 0.32/0.55 (step @p63 :rule trans :premises (@p62 @p3)) % 0.32/0.55 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 0.32/0.55 (step @p65 :rule and_elim :premises (@p64) :args (2)) % 0.32/0.55 (step @p66 :rule and_elim :premises (@p64) :args (3)) % 0.32/0.55 (step @p67 :rule alpha_equiv :args (@t24 @t39 (@list @t3))) % 0.32/0.55 (step @p68 :rule symm :premises (@p67)) % 0.32/0.55 (step @p69 :rule equiv_elim2 :premises (@p68)) % 0.32/0.55 (step @p70 :rule chain_m_resolution :premises (@p69 @p66) :args (@t52 @t53 (@list @t17))) % 0.32/0.55 (step @p71 :rule and_elim :premises (@p64) :args (0)) % 0.32/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p70) :args (@t26 @t53 @t54)) % 0.32/0.55 (step @p73 :rule instantiate :premises (@p72) :args (@t56)) % 0.32/0.55 (step @p74 :rule refl :args (@t57)) % 0.32/0.55 (step @p75 :rule bool-double-not-elim :args (@t24)) % 0.32/0.55 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t52) @t57))) % 0.32/0.55 (step @p77 :rule bool-double-not-elim :args (@t57)) % 0.32/0.55 (step @p78 :rule refl :args (@t52)) % 0.32/0.55 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t52 @t59))) % 0.32/0.55 (assume-push @p97 @t52) % 0.32/0.55 (step @p81 :rule skolemize :premises (@p70)) % 0.32/0.55 (step-pop @p98 :rule scope :premises (@p81)) % 0.32/0.55 (step @p82 :rule process_scope :premises (@p98) :args (@t59)) % 0.32/0.55 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.32/0.55 (step @p85 :rule implies_elim :premises (@p84)) % 0.32/0.55 (step @p86 :rule eq_resolve :premises (@p85 @p76)) % 0.32/0.55 (step @p87 :rule chain_m_resolution :premises (@p86 @p70) :args (@t57 @t53 @t54)) % 0.32/0.55 (step @p88 :rule cnf_or_pos :args (@t61)) % 0.32/0.55 (step @p89 :rule reordering :premises (@p88) :args ((or @t58 @t60 (not @t61)))) % 0.32/0.55 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p73) :args (@t60 @t62 (@list @t57 @t61))) % 0.32/0.55 (assume-push @p99 @t20) % 0.32/0.55 (step @p92 :rule instantiate :premises (@p65) :args (@t56)) % 0.32/0.55 (step-pop @p100 :rule scope :premises (@p92)) % 0.32/0.55 (step @p93 :rule process_scope :premises (@p100) :args ((not @t60))) % 0.32/0.55 (step @p95 :rule implies_elim :premises (@p93)) % 0.32/0.55 (step @p96 false :rule chain_m_resolution :premises (@p95 @p90 @p65) :args (false @t62 (@list @t60 @t20))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------