%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT004-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:09:22 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.51s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : CAT004-4 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.32 % Computer : n014.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Wed Jun 3 02:53:43 EDT 2026 % 0.12/0.32 % CPUTime : % 0.17/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.51 % SZS status Unsatisfiable % 0.29/0.51 % SZS output start Proof % 0.29/0.52 ( % 0.29/0.52 (declare-sort $$unsorted 0) % 0.29/0.52 (declare-const tptp.g $$unsorted) % 0.29/0.52 (declare-const tptp.h $$unsorted) % 0.29/0.52 (declare-const tptp.b $$unsorted) % 0.29/0.52 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.29/0.52 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.29/0.52 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.29/0.52 (declare-const tptp.a $$unsorted) % 0.29/0.52 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.52 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.29/0.52 (define @t1 () (@var "X" $$unsorted)) % 0.29/0.52 (define @t2 () (tptp.there_exists @t1)) % 0.29/0.52 (define @t3 () (@var "Y" $$unsorted)) % 0.29/0.52 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.29/0.52 (define @t5 () (not @t4)) % 0.29/0.52 (define @t6 () (@list @t1 @t3)) % 0.29/0.52 (define @t7 () (= @t1 @t3)) % 0.29/0.52 (define @t8 () (tptp.domain @t1)) % 0.29/0.52 (define @t9 () (tptp.there_exists @t8)) % 0.29/0.52 (define @t10 () (not @t9)) % 0.29/0.52 (define @t11 () (@list @t1)) % 0.29/0.52 (define @t12 () (tptp.codomain @t1)) % 0.29/0.52 (define @t13 () (tptp.compose @t1 @t3)) % 0.29/0.52 (define @t14 () (tptp.there_exists @t13)) % 0.29/0.52 (define @t15 () (not @t14)) % 0.29/0.52 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.29/0.52 (define @t17 () (@var "Z" $$unsorted)) % 0.29/0.52 (define @t18 () (@list @t1 @t3 @t17)) % 0.29/0.52 (define @t19 () (tptp.compose tptp.a tptp.b)) % 0.29/0.52 (define @t20 () (= @t1 @t17)) % 0.29/0.52 (define @t21 () (tptp.compose @t17 tptp.a)) % 0.29/0.52 (define @t22 () (not (= @t21 @t3))) % 0.29/0.52 (define @t23 () (tptp.compose @t1 tptp.a)) % 0.29/0.52 (define @t24 () (not (= @t23 @t3))) % 0.29/0.52 (define @t25 () (or @t24 @t22 @t20)) % 0.29/0.52 (define @t26 () (forall @t18 @t25)) % 0.29/0.52 (define @t27 () (tptp.compose @t17 tptp.b)) % 0.29/0.52 (define @t28 () (not (= @t27 @t3))) % 0.29/0.52 (define @t29 () (tptp.compose @t1 tptp.b)) % 0.29/0.52 (define @t30 () (not (= @t29 @t3))) % 0.29/0.52 (define @t31 () (or @t30 @t28 @t20)) % 0.29/0.52 (define @t32 () (forall @t18 @t31)) % 0.29/0.52 (define @t33 () (= tptp.h tptp.g)) % 0.29/0.52 (define @t34 () (not (= @t29 @t27))) % 0.29/0.52 (define @t35 () (not (= @t29 @t29))) % 0.29/0.52 (define @t36 () (or @t35 @t34 @t20)) % 0.29/0.52 (define @t37 () (@list @t1 @t17)) % 0.29/0.52 (define @t38 () (not (= @t3 @t27))) % 0.29/0.52 (define @t39 () (not (= @t3 @t29))) % 0.29/0.52 (define @t40 () (or @t39 @t39 @t38 @t20)) % 0.29/0.52 (define @t41 () (@list @t3)) % 0.29/0.52 (define @t42 () (or @t39 @t38 @t20)) % 0.29/0.52 (define @t43 () (forall @t41 @t42)) % 0.29/0.52 (define @t44 () (forall @t37 @t43)) % 0.29/0.52 (define @t45 () (@list @t1 @t17 @t3)) % 0.29/0.52 (define @t46 () (forall @t45 @t42)) % 0.29/0.52 (define @t47 () (tptp.compose tptp.h tptp.a)) % 0.29/0.52 (define @t48 () (tptp.compose tptp.g tptp.a)) % 0.29/0.52 (define @t49 () (not (= @t23 @t21))) % 0.29/0.52 (define @t50 () (or @t49 @t20)) % 0.29/0.52 (define @t51 () (not (= @t23 @t23))) % 0.29/0.52 (define @t52 () (or @t51 @t49 @t20)) % 0.29/0.52 (define @t53 () (not (= @t3 @t21))) % 0.29/0.52 (define @t54 () (not (= @t3 @t23))) % 0.29/0.52 (define @t55 () (or @t54 @t54 @t53 @t20)) % 0.29/0.52 (define @t56 () (or @t54 @t53 @t20)) % 0.29/0.52 (define @t57 () (forall @t41 @t56)) % 0.29/0.52 (define @t58 () (forall @t37 @t57)) % 0.29/0.52 (define @t59 () (forall @t45 @t56)) % 0.29/0.52 (define @t60 () (= @t48 @t47)) % 0.29/0.52 (define @t61 () (not @t60)) % 0.29/0.52 (define @t62 () (or @t61 (= tptp.g tptp.h))) % 0.29/0.52 (define @t63 () (forall @t37 @t50)) % 0.29/0.52 (define @t64 () (or @t61 @t33)) % 0.29/0.52 (define @t65 () (@list true false)) % 0.29/0.52 (define @t66 () (not (= (tptp.compose @t48 tptp.b) (tptp.compose @t47 tptp.b)))) % 0.29/0.52 (define @t67 () (or @t66 @t60)) % 0.29/0.52 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.29/0.52 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.29/0.52 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.29/0.52 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.29/0.52 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.29/0.52 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.29/0.52 (assume @p7 (forall @t6 (or @t15 @t16))) % 0.29/0.52 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.29/0.52 (assume @p9 (forall @t18 (= (tptp.compose @t1 (tptp.compose @t3 @t17)) (tptp.compose @t13 @t17)))) % 0.29/0.52 (assume @p10 (forall @t11 (= (tptp.compose @t1 @t8) @t1))) % 0.29/0.52 (assume @p11 (forall @t11 (= (tptp.compose @t12 @t1) @t1))) % 0.29/0.52 (assume @p12 (tptp.there_exists @t19)) % 0.29/0.52 (assume @p13 @t26) % 0.29/0.52 (assume @p14 @t32) % 0.29/0.52 (assume @p15 (tptp.there_exists tptp.h)) % 0.29/0.52 (assume @p16 (= (tptp.compose tptp.h @t19) (tptp.compose tptp.g @t19))) % 0.29/0.52 (assume @p17 (not @t33)) % 0.29/0.52 (step @p18 :rule evaluate :args ((= true false))) % 0.29/0.52 (step @p19 :rule aci_norm :args ((= (or false @t34 @t20) (or @t34 @t20)))) % 0.29/0.52 (step @p20 :rule refl :args (@t20)) % 0.29/0.52 (step @p21 :rule refl :args (@t34)) % 0.29/0.52 (step @p22 :rule evaluate :args ((not true))) % 0.29/0.52 (step @p23 :rule eq-refl :args (@t29)) % 0.29/0.52 (step @p24 :rule cong :premises (@p23) :args (@t35)) % 0.29/0.52 (step @p25 :rule trans :premises (@p24 @p22)) % 0.29/0.52 (step @p26 :rule nary_cong :premises (@p25 @p21 @p20) :args (@t36)) % 0.29/0.52 (step @p27 :rule trans :premises (@p26 @p19)) % 0.29/0.52 (step @p28 :rule cong :premises (@p27) :args ((forall @t37 @t36))) % 0.29/0.52 (step @p29 :rule quant-var-elim-eq :args ((= (forall @t41 @t40) @t36))) % 0.29/0.52 (step @p30 :rule aci_norm :args ((= @t42 @t40))) % 0.29/0.52 (step @p31 :rule cong :premises (@p30) :args (@t43)) % 0.29/0.52 (step @p32 :rule trans :premises (@p31 @p29)) % 0.29/0.52 (step @p33 :rule cong :premises (@p32) :args (@t44)) % 0.29/0.52 (step @p34 :rule quant-merge-prenex :args ((= @t44 @t46))) % 0.29/0.52 (step @p35 :rule symm :premises (@p34)) % 0.29/0.52 (step @p36 :rule quant_var_reordering :args ((= (forall @t18 @t42) @t46))) % 0.29/0.52 (step @p37 :rule trans :premises (@p36 @p35 @p33)) % 0.29/0.52 (step @p38 :rule trans :premises (@p37 @p28)) % 0.29/0.52 (step @p39 :rule eq-symm :args (@t27 @t3)) % 0.29/0.52 (step @p40 :rule cong :premises (@p39) :args (@t28)) % 0.29/0.52 (step @p41 :rule eq-symm :args (@t29 @t3)) % 0.29/0.52 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 0.29/0.52 (step @p43 :rule nary_cong :premises (@p42 @p40 @p20) :args (@t31)) % 0.29/0.52 (step @p44 :rule cong :premises (@p43) :args (@t32)) % 0.29/0.52 (step @p45 :rule trans :premises (@p44 @p38)) % 0.29/0.52 (step @p46 :rule eq_resolve :premises (@p14 @p45)) % 0.29/0.52 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t48 @t47))) % 0.29/0.52 (step @p48 :rule aci_norm :args ((= (or false @t49 @t20) @t50))) % 0.29/0.52 (step @p49 :rule refl :args (@t49)) % 0.29/0.52 (step @p50 :rule eq-refl :args (@t23)) % 0.29/0.52 (step @p51 :rule cong :premises (@p50) :args (@t51)) % 0.29/0.52 (step @p52 :rule trans :premises (@p51 @p22)) % 0.29/0.52 (step @p53 :rule nary_cong :premises (@p52 @p49 @p20) :args (@t52)) % 0.29/0.52 (step @p54 :rule trans :premises (@p53 @p48)) % 0.29/0.52 (step @p55 :rule cong :premises (@p54) :args ((forall @t37 @t52))) % 0.29/0.52 (step @p56 :rule quant-var-elim-eq :args ((= (forall @t41 @t55) @t52))) % 0.29/0.52 (step @p57 :rule aci_norm :args ((= @t56 @t55))) % 0.29/0.52 (step @p58 :rule cong :premises (@p57) :args (@t57)) % 0.29/0.52 (step @p59 :rule trans :premises (@p58 @p56)) % 0.29/0.52 (step @p60 :rule cong :premises (@p59) :args (@t58)) % 0.29/0.52 (step @p61 :rule quant-merge-prenex :args ((= @t58 @t59))) % 0.29/0.52 (step @p62 :rule symm :premises (@p61)) % 0.29/0.52 (step @p63 :rule quant_var_reordering :args ((= (forall @t18 @t56) @t59))) % 0.29/0.52 (step @p64 :rule trans :premises (@p63 @p62 @p60)) % 0.29/0.52 (step @p65 :rule trans :premises (@p64 @p55)) % 0.29/0.52 (step @p66 :rule eq-symm :args (@t21 @t3)) % 0.29/0.52 (step @p67 :rule cong :premises (@p66) :args (@t22)) % 0.29/0.52 (step @p68 :rule eq-symm :args (@t23 @t3)) % 0.29/0.52 (step @p69 :rule cong :premises (@p68) :args (@t24)) % 0.29/0.52 (step @p70 :rule nary_cong :premises (@p69 @p67 @p20) :args (@t25)) % 0.29/0.52 (step @p71 :rule cong :premises (@p70) :args (@t26)) % 0.29/0.52 (step @p72 :rule trans :premises (@p71 @p65)) % 0.29/0.52 (step @p73 :rule eq_resolve :premises (@p13 @p72)) % 0.29/0.52 (step @p74 :rule eq-symm :args (tptp.g tptp.h)) % 0.29/0.52 (step @p75 :rule refl :args (@t61)) % 0.29/0.52 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t62)) % 0.29/0.52 (step @p77 :rule refl :args (@t63)) % 0.29/0.52 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t63 @t62))) % 0.29/0.52 (assume-push @p104 @t63) % 0.29/0.52 (step @p80 :rule instantiate :premises (@p73) :args ((@list tptp.g tptp.h))) % 0.29/0.52 (step-pop @p105 :rule scope :premises (@p80)) % 0.29/0.52 (step @p81 :rule process_scope :premises (@p105) :args (@t62)) % 0.29/0.52 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.29/0.52 (step @p84 :rule implies_elim :premises (@p83)) % 0.29/0.52 (step @p85 :rule chain_m_resolution :premises (@p84 @p73) :args (@t64 (@list false) (@list @t63))) % 0.29/0.52 (step @p86 :rule cnf_or_pos :args (@t64)) % 0.29/0.52 (step @p87 :rule reordering :premises (@p86) :args ((or @t33 @t61 (not @t64)))) % 0.29/0.52 (step @p88 :rule chain_m_resolution :premises (@p87 @p17 @p85) :args (@t61 @t65 (@list @t33 @t64))) % 0.29/0.52 (step @p89 :rule cnf_or_pos :args (@t67)) % 0.29/0.52 (step @p90 :rule reordering :premises (@p89) :args ((or @t60 @t66 (not @t67)))) % 0.29/0.52 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p47) :args (@t66 @t65 (@list @t60 @t67))) % 0.29/0.52 (step @p92 :rule false_intro :premises (@p91)) % 0.29/0.52 (step @p93 :rule instantiate :premises (@p9) :args ((@list tptp.h tptp.a tptp.b))) % 0.29/0.52 (step @p94 :rule symm :premises (@p16)) % 0.29/0.52 (step @p95 :rule trans :premises (@p94 @p93)) % 0.29/0.52 (step @p96 :rule instantiate :premises (@p9) :args ((@list tptp.g tptp.a tptp.b))) % 0.29/0.52 (step @p97 :rule trans :premises (@p16 @p96)) % 0.29/0.52 (step @p98 :rule symm :premises (@p97)) % 0.29/0.52 (step @p99 :rule trans :premises (@p98 @p16 @p95)) % 0.29/0.52 (step @p100 :rule true_intro :premises (@p99)) % 0.29/0.52 (step @p101 :rule symm :premises (@p100)) % 0.29/0.52 (step @p102 :rule trans :premises (@p101 @p92)) % 0.29/0.52 (step @p103 false :rule eq_resolve :premises (@p102 @p18)) % 0.29/0.52 ) % 0.29/0.52 % SZS output end Proof % 0.29/0.52 % cvc5 exiting %------------------------------------------------------------------------------