%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT004-3 : 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 : n012.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 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : CAT004-3 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Jun 3 02:53:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Unsatisfiable % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.g $$unsorted) % 0.16/0.37 (declare-const tptp.h $$unsorted) % 0.16/0.37 (declare-const tptp.b $$unsorted) % 0.16/0.37 (declare-const tptp.a $$unsorted) % 0.16/0.37 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.16/0.37 (define @t1 () (@var "X" $$unsorted)) % 0.16/0.37 (define @t2 () (tptp.there_exists @t1)) % 0.16/0.37 (define @t3 () (@var "Y" $$unsorted)) % 0.16/0.37 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.16/0.37 (define @t5 () (not @t4)) % 0.16/0.37 (define @t6 () (@list @t1 @t3)) % 0.16/0.37 (define @t7 () (= @t1 @t3)) % 0.16/0.37 (define @t8 () (not @t7)) % 0.16/0.37 (define @t9 () (not @t2)) % 0.16/0.37 (define @t10 () (tptp.domain @t1)) % 0.16/0.37 (define @t11 () (tptp.there_exists @t10)) % 0.16/0.37 (define @t12 () (not @t11)) % 0.16/0.37 (define @t13 () (@list @t1)) % 0.16/0.37 (define @t14 () (tptp.codomain @t1)) % 0.16/0.37 (define @t15 () (tptp.there_exists @t14)) % 0.16/0.37 (define @t16 () (tptp.compose @t1 @t3)) % 0.16/0.37 (define @t17 () (tptp.there_exists @t16)) % 0.16/0.37 (define @t18 () (not @t17)) % 0.16/0.37 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.16/0.37 (define @t20 () (@var "Z" $$unsorted)) % 0.16/0.37 (define @t21 () (@list @t1 @t3 @t20)) % 0.16/0.37 (define @t22 () (tptp.there_exists @t3)) % 0.16/0.37 (define @t23 () (tptp.f1 @t1 @t3)) % 0.16/0.37 (define @t24 () (= @t3 @t23)) % 0.16/0.37 (define @t25 () (= @t1 @t23)) % 0.16/0.37 (define @t26 () (tptp.compose tptp.a tptp.b)) % 0.16/0.37 (define @t27 () (= @t1 @t20)) % 0.16/0.37 (define @t28 () (tptp.compose @t20 tptp.a)) % 0.16/0.37 (define @t29 () (not (= @t28 @t3))) % 0.16/0.37 (define @t30 () (tptp.compose @t1 tptp.a)) % 0.16/0.37 (define @t31 () (not (= @t30 @t3))) % 0.16/0.37 (define @t32 () (or @t31 @t29 @t27)) % 0.16/0.37 (define @t33 () (forall @t21 @t32)) % 0.16/0.37 (define @t34 () (tptp.compose @t20 tptp.b)) % 0.16/0.37 (define @t35 () (not (= @t34 @t3))) % 0.16/0.37 (define @t36 () (tptp.compose @t1 tptp.b)) % 0.16/0.37 (define @t37 () (not (= @t36 @t3))) % 0.16/0.37 (define @t38 () (or @t37 @t35 @t27)) % 0.16/0.37 (define @t39 () (forall @t21 @t38)) % 0.16/0.37 (define @t40 () (= tptp.h tptp.g)) % 0.16/0.37 (define @t41 () (not (= @t36 @t34))) % 0.16/0.37 (define @t42 () (not (= @t36 @t36))) % 0.16/0.37 (define @t43 () (or @t42 @t41 @t27)) % 0.16/0.37 (define @t44 () (@list @t1 @t20)) % 0.16/0.37 (define @t45 () (not (= @t3 @t34))) % 0.16/0.37 (define @t46 () (not (= @t3 @t36))) % 0.16/0.37 (define @t47 () (or @t46 @t46 @t45 @t27)) % 0.16/0.37 (define @t48 () (@list @t3)) % 0.16/0.37 (define @t49 () (or @t46 @t45 @t27)) % 0.16/0.37 (define @t50 () (forall @t48 @t49)) % 0.16/0.37 (define @t51 () (forall @t44 @t50)) % 0.16/0.37 (define @t52 () (@list @t1 @t20 @t3)) % 0.16/0.37 (define @t53 () (forall @t52 @t49)) % 0.16/0.37 (define @t54 () (tptp.compose tptp.h tptp.a)) % 0.16/0.37 (define @t55 () (tptp.compose tptp.g tptp.a)) % 0.16/0.37 (define @t56 () (not (= @t30 @t28))) % 0.16/0.37 (define @t57 () (or @t56 @t27)) % 0.16/0.37 (define @t58 () (not (= @t30 @t30))) % 0.16/0.37 (define @t59 () (or @t58 @t56 @t27)) % 0.16/0.37 (define @t60 () (not (= @t3 @t28))) % 0.16/0.37 (define @t61 () (not (= @t3 @t30))) % 0.16/0.37 (define @t62 () (or @t61 @t61 @t60 @t27)) % 0.16/0.37 (define @t63 () (or @t61 @t60 @t27)) % 0.16/0.37 (define @t64 () (forall @t48 @t63)) % 0.16/0.37 (define @t65 () (forall @t44 @t64)) % 0.16/0.37 (define @t66 () (forall @t52 @t63)) % 0.16/0.37 (define @t67 () (= @t55 @t54)) % 0.16/0.37 (define @t68 () (not @t67)) % 0.16/0.37 (define @t69 () (or @t68 (= tptp.g tptp.h))) % 0.16/0.37 (define @t70 () (forall @t44 @t57)) % 0.16/0.37 (define @t71 () (or @t68 @t40)) % 0.16/0.37 (define @t72 () (@list true false)) % 0.16/0.37 (define @t73 () (not (= (tptp.compose @t55 tptp.b) (tptp.compose @t54 tptp.b)))) % 0.16/0.37 (define @t74 () (or @t73 @t67)) % 0.16/0.37 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.16/0.37 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.16/0.37 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.16/0.37 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.16/0.37 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.16/0.37 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.16/0.37 (assume @p7 (forall @t6 (or @t18 @t19))) % 0.16/0.37 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.16/0.37 (assume @p9 (forall @t21 (= (tptp.compose @t1 (tptp.compose @t3 @t20)) (tptp.compose @t16 @t20)))) % 0.16/0.37 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 0.16/0.37 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.16/0.37 (assume @p12 (forall @t6 (or @t5 @t22))) % 0.16/0.37 (assume @p13 (forall @t6 (or @t9 (not @t22) @t8 @t4))) % 0.16/0.37 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.16/0.37 (assume @p15 (forall @t6 (or (tptp.there_exists @t23) @t7))) % 0.16/0.37 (assume @p16 (forall @t6 (or @t25 @t24 @t7))) % 0.16/0.37 (assume @p17 (forall @t6 (or (not @t25) (not @t24) @t7))) % 0.16/0.37 (assume @p18 (tptp.there_exists @t26)) % 0.16/0.37 (assume @p19 @t33) % 0.16/0.37 (assume @p20 @t39) % 0.16/0.37 (assume @p21 (tptp.there_exists tptp.h)) % 0.16/0.37 (assume @p22 (= (tptp.compose tptp.h @t26) (tptp.compose tptp.g @t26))) % 0.16/0.37 (assume @p23 (not @t40)) % 0.16/0.37 (step @p24 :rule evaluate :args ((= true false))) % 0.16/0.37 (step @p25 :rule aci_norm :args ((= (or false @t41 @t27) (or @t41 @t27)))) % 0.16/0.37 (step @p26 :rule refl :args (@t27)) % 0.16/0.37 (step @p27 :rule refl :args (@t41)) % 0.16/0.37 (step @p28 :rule evaluate :args ((not true))) % 0.16/0.37 (step @p29 :rule eq-refl :args (@t36)) % 0.16/0.37 (step @p30 :rule cong :premises (@p29) :args (@t42)) % 0.16/0.37 (step @p31 :rule trans :premises (@p30 @p28)) % 0.16/0.37 (step @p32 :rule nary_cong :premises (@p31 @p27 @p26) :args (@t43)) % 0.16/0.37 (step @p33 :rule trans :premises (@p32 @p25)) % 0.16/0.37 (step @p34 :rule cong :premises (@p33) :args ((forall @t44 @t43))) % 0.16/0.37 (step @p35 :rule quant-var-elim-eq :args ((= (forall @t48 @t47) @t43))) % 0.16/0.37 (step @p36 :rule aci_norm :args ((= @t49 @t47))) % 0.16/0.37 (step @p37 :rule cong :premises (@p36) :args (@t50)) % 0.16/0.37 (step @p38 :rule trans :premises (@p37 @p35)) % 0.16/0.37 (step @p39 :rule cong :premises (@p38) :args (@t51)) % 0.16/0.37 (step @p40 :rule quant-merge-prenex :args ((= @t51 @t53))) % 0.16/0.37 (step @p41 :rule symm :premises (@p40)) % 0.16/0.37 (step @p42 :rule quant_var_reordering :args ((= (forall @t21 @t49) @t53))) % 0.16/0.37 (step @p43 :rule trans :premises (@p42 @p41 @p39)) % 0.16/0.37 (step @p44 :rule trans :premises (@p43 @p34)) % 0.16/0.37 (step @p45 :rule eq-symm :args (@t34 @t3)) % 0.16/0.37 (step @p46 :rule cong :premises (@p45) :args (@t35)) % 0.16/0.37 (step @p47 :rule eq-symm :args (@t36 @t3)) % 0.16/0.37 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.16/0.37 (step @p49 :rule nary_cong :premises (@p48 @p46 @p26) :args (@t38)) % 0.16/0.37 (step @p50 :rule cong :premises (@p49) :args (@t39)) % 0.16/0.37 (step @p51 :rule trans :premises (@p50 @p44)) % 0.16/0.37 (step @p52 :rule eq_resolve :premises (@p20 @p51)) % 0.16/0.37 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t55 @t54))) % 0.16/0.37 (step @p54 :rule aci_norm :args ((= (or false @t56 @t27) @t57))) % 0.16/0.37 (step @p55 :rule refl :args (@t56)) % 0.16/0.37 (step @p56 :rule eq-refl :args (@t30)) % 0.16/0.37 (step @p57 :rule cong :premises (@p56) :args (@t58)) % 0.16/0.37 (step @p58 :rule trans :premises (@p57 @p28)) % 0.16/0.37 (step @p59 :rule nary_cong :premises (@p58 @p55 @p26) :args (@t59)) % 0.16/0.37 (step @p60 :rule trans :premises (@p59 @p54)) % 0.16/0.37 (step @p61 :rule cong :premises (@p60) :args ((forall @t44 @t59))) % 0.16/0.37 (step @p62 :rule quant-var-elim-eq :args ((= (forall @t48 @t62) @t59))) % 0.16/0.37 (step @p63 :rule aci_norm :args ((= @t63 @t62))) % 0.16/0.37 (step @p64 :rule cong :premises (@p63) :args (@t64)) % 0.16/0.37 (step @p65 :rule trans :premises (@p64 @p62)) % 0.16/0.37 (step @p66 :rule cong :premises (@p65) :args (@t65)) % 0.16/0.37 (step @p67 :rule quant-merge-prenex :args ((= @t65 @t66))) % 0.16/0.37 (step @p68 :rule symm :premises (@p67)) % 0.16/0.37 (step @p69 :rule quant_var_reordering :args ((= (forall @t21 @t63) @t66))) % 0.16/0.37 (step @p70 :rule trans :premises (@p69 @p68 @p66)) % 0.16/0.37 (step @p71 :rule trans :premises (@p70 @p61)) % 0.16/0.37 (step @p72 :rule eq-symm :args (@t28 @t3)) % 0.16/0.37 (step @p73 :rule cong :premises (@p72) :args (@t29)) % 0.16/0.37 (step @p74 :rule eq-symm :args (@t30 @t3)) % 0.16/0.37 (step @p75 :rule cong :premises (@p74) :args (@t31)) % 0.16/0.37 (step @p76 :rule nary_cong :premises (@p75 @p73 @p26) :args (@t32)) % 0.16/0.37 (step @p77 :rule cong :premises (@p76) :args (@t33)) % 0.16/0.37 (step @p78 :rule trans :premises (@p77 @p71)) % 0.16/0.37 (step @p79 :rule eq_resolve :premises (@p19 @p78)) % 0.16/0.37 (step @p80 :rule eq-symm :args (tptp.g tptp.h)) % 0.16/0.37 (step @p81 :rule refl :args (@t68)) % 0.16/0.37 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t69)) % 0.16/0.37 (step @p83 :rule refl :args (@t70)) % 0.16/0.37 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t70 @t69))) % 0.16/0.37 (assume-push @p110 @t70) % 0.16/0.37 (step @p86 :rule instantiate :premises (@p79) :args ((@list tptp.g tptp.h))) % 0.16/0.37 (step-pop @p111 :rule scope :premises (@p86)) % 0.16/0.37 (step @p87 :rule process_scope :premises (@p111) :args (@t69)) % 0.16/0.37 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.16/0.37 (step @p90 :rule implies_elim :premises (@p89)) % 0.16/0.37 (step @p91 :rule chain_m_resolution :premises (@p90 @p79) :args (@t71 (@list false) (@list @t70))) % 0.16/0.37 (step @p92 :rule cnf_or_pos :args (@t71)) % 0.16/0.37 (step @p93 :rule reordering :premises (@p92) :args ((or @t40 @t68 (not @t71)))) % 0.16/0.37 (step @p94 :rule chain_m_resolution :premises (@p93 @p23 @p91) :args (@t68 @t72 (@list @t40 @t71))) % 0.16/0.37 (step @p95 :rule cnf_or_pos :args (@t74)) % 0.16/0.37 (step @p96 :rule reordering :premises (@p95) :args ((or @t67 @t73 (not @t74)))) % 0.16/0.37 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p53) :args (@t73 @t72 (@list @t67 @t74))) % 0.16/0.37 (step @p98 :rule false_intro :premises (@p97)) % 0.16/0.37 (step @p99 :rule instantiate :premises (@p9) :args ((@list tptp.h tptp.a tptp.b))) % 0.16/0.37 (step @p100 :rule symm :premises (@p22)) % 0.16/0.37 (step @p101 :rule trans :premises (@p100 @p99)) % 0.16/0.37 (step @p102 :rule instantiate :premises (@p9) :args ((@list tptp.g tptp.a tptp.b))) % 0.16/0.37 (step @p103 :rule trans :premises (@p22 @p102)) % 0.16/0.37 (step @p104 :rule symm :premises (@p103)) % 0.16/0.37 (step @p105 :rule trans :premises (@p104 @p22 @p101)) % 0.16/0.37 (step @p106 :rule true_intro :premises (@p105)) % 0.16/0.37 (step @p107 :rule symm :premises (@p106)) % 0.16/0.37 (step @p108 :rule trans :premises (@p107 @p98)) % 0.16/0.37 (step @p109 false :rule eq_resolve :premises (@p108 @p24)) % 0.16/0.37 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------