%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS074+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 : n009.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 08:28:52 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS074+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 % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:27:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Unsatisfiable % 0.33/0.57 % SZS output start Proof % 0.33/0.58 ( % 0.33/0.58 (declare-sort $$unsorted 0) % 0.33/0.58 (declare-const tptp.i2003_11_14_17_18_59896 $$unsorted) % 0.33/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rinvF1 (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.33/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.33/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.33/0.58 (define @t3 () (= @t2 @t1)) % 0.33/0.58 (define @t4 () (@list @t2 @t1)) % 0.33/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.33/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.33/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.33/0.58 (define @t8 () (@list @t7)) % 0.33/0.58 (define @t9 () (@var "Y" $$unsorted)) % 0.33/0.58 (define @t10 () (tptp.cp @t9)) % 0.33/0.58 (define @t11 () (not @t10)) % 0.33/0.58 (define @t12 () (tptp.rs @t7 @t9)) % 0.33/0.58 (define @t13 () (@list @t9)) % 0.33/0.58 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.33/0.58 (define @t15 () (@var "Z" $$unsorted)) % 0.33/0.58 (define @t16 () (tptp.cp @t15)) % 0.33/0.58 (define @t17 () (tptp.rinvS @t9 @t15)) % 0.33/0.58 (define @t18 () (and @t17 @t16)) % 0.33/0.58 (define @t19 () (@list @t15)) % 0.33/0.58 (define @t20 () (exists @t19 @t18)) % 0.33/0.58 (define @t21 () (and @t12 @t10 @t20)) % 0.33/0.58 (define @t22 () (exists @t13 @t21)) % 0.33/0.58 (define @t23 () (and @t22 @t14)) % 0.33/0.58 (define @t24 () (tptp.cUnsatisfiable @t7)) % 0.33/0.58 (define @t25 () (= @t24 @t23)) % 0.33/0.58 (define @t26 () (forall @t8 @t25)) % 0.33/0.58 (define @t27 () (= @t9 @t15)) % 0.33/0.58 (define @t28 () (tptp.rf @t7 @t9)) % 0.33/0.58 (define @t29 () (@list @t7 @t9 @t15)) % 0.33/0.58 (define @t30 () (tptp.rf1 @t7 @t9)) % 0.33/0.58 (define @t31 () (@list @t7 @t9)) % 0.33/0.58 (define @t32 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_18_59896)) % 0.33/0.58 (define @t33 () (@var "BOUND_VARIABLE_7835" $$unsorted)) % 0.33/0.58 (define @t34 () (not (tptp.cp @t33))) % 0.33/0.58 (define @t35 () (not (tptp.rinvS @t9 @t33))) % 0.33/0.58 (define @t36 () (not @t12)) % 0.33/0.58 (define @t37 () (or @t35 @t34)) % 0.33/0.58 (define @t38 () (or @t36 @t11 @t37)) % 0.33/0.58 (define @t39 () (@list @t9 @t33)) % 0.33/0.58 (define @t40 () (forall @t39 @t38)) % 0.33/0.58 (define @t41 () (@list @t33)) % 0.33/0.58 (define @t42 () (forall @t41 @t38)) % 0.33/0.58 (define @t43 () (forall @t41 @t37)) % 0.33/0.58 (define @t44 () (or @t36 @t11 @t43)) % 0.33/0.58 (define @t45 () (forall @t19 (or (not @t17) (not @t16)))) % 0.33/0.58 (define @t46 () (not @t45)) % 0.33/0.58 (define @t47 () (not @t46)) % 0.33/0.58 (define @t48 () (or @t36 @t11 @t47)) % 0.33/0.58 (define @t49 () (and @t12 @t10 @t46)) % 0.33/0.58 (define @t50 () (forall @t13 (not @t49))) % 0.33/0.58 (define @t51 () (not @t50)) % 0.33/0.58 (define @t52 () (forall @t19 (not @t18))) % 0.33/0.58 (define @t53 () (not @t52)) % 0.33/0.58 (define @t54 () (not (tptp.rs tptp.i2003_11_14_17_18_59896 @t9))) % 0.33/0.58 (define @t55 () (forall @t13 (or @t54 @t11))) % 0.33/0.58 (define @t56 () (forall @t39 (or @t54 @t11 @t35 @t34))) % 0.33/0.58 (define @t57 () (not @t56)) % 0.33/0.58 (define @t58 () (and @t57 @t55)) % 0.33/0.58 (define @t59 () (= @t32 @t58)) % 0.33/0.58 (define @t60 () (@list false false)) % 0.33/0.58 (define @t61 () (not @t58)) % 0.33/0.58 (define @t62 () (@list false)) % 0.33/0.58 (define @t63 () (@list @t58)) % 0.33/0.58 (define @t64 () (@quantifiers_skolemize @t56 0)) % 0.33/0.58 (define @t65 () (tptp.cp @t64)) % 0.33/0.58 (define @t66 () (@quantifiers_skolemize @t56 1)) % 0.33/0.58 (define @t67 () (not @t65)) % 0.33/0.58 (define @t68 () (tptp.rs tptp.i2003_11_14_17_18_59896 @t64)) % 0.33/0.58 (define @t69 () (not @t68)) % 0.33/0.58 (define @t70 () (or @t69 @t67 (not (tptp.rinvS @t64 @t66)) (not (tptp.cp @t66)))) % 0.33/0.58 (define @t71 () (@list true)) % 0.33/0.58 (define @t72 () (@list @t70)) % 0.33/0.58 (define @t73 () (or @t69 @t67)) % 0.33/0.58 (define @t74 () (not @t73)) % 0.33/0.58 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.33/0.58 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.33/0.58 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.33/0.58 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.33/0.58 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.33/0.58 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.33/0.58 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.33/0.58 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.33/0.58 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.33/0.58 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.33/0.58 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t2 @t5)) (tptp.rinvF1 @t1 @t5)))) % 0.33/0.58 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t5 @t2)) (tptp.rinvF1 @t5 @t1)))) % 0.33/0.58 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.33/0.58 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.33/0.58 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.33/0.58 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.33/0.58 (assume @p17 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.33/0.58 (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.33/0.58 (assume @p19 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.33/0.58 (assume @p20 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.33/0.58 (assume @p21 @t26) % 0.33/0.58 (assume @p22 (forall @t29 (=> (and @t28 (tptp.rf @t7 @t15)) @t27))) % 0.33/0.58 (assume @p23 (forall @t29 (=> (and @t30 (tptp.rf1 @t7 @t15)) @t27))) % 0.33/0.58 (assume @p24 (forall @t31 (= (tptp.rinvF @t7 @t9) (tptp.rf @t9 @t7)))) % 0.33/0.58 (assume @p25 (forall @t31 (= (tptp.rinvF1 @t7 @t9) (tptp.rf1 @t9 @t7)))) % 0.33/0.58 (assume @p26 (forall @t31 (= (tptp.rinvS @t7 @t9) (tptp.rs @t9 @t7)))) % 0.33/0.58 (assume @p27 (forall @t29 (=> (and @t12 (tptp.rs @t7 @t15)) @t27))) % 0.33/0.58 (assume @p28 @t32) % 0.33/0.58 (assume @p29 (forall @t31 (=> @t12 @t30))) % 0.33/0.58 (assume @p30 (forall @t31 (=> @t12 @t28))) % 0.33/0.58 (step @p31 :rule bool-impl-elim :args (@t12 @t11)) % 0.33/0.58 (step @p32 :rule cong :premises (@p31) :args (@t14)) % 0.33/0.58 (step @p33 :rule aci_norm :args ((= @t38 (or @t36 @t11 @t35 @t34)))) % 0.33/0.58 (step @p34 :rule cong :premises (@p33) :args (@t40)) % 0.33/0.58 (step @p35 :rule quant-merge-prenex :args ((= (forall @t13 @t42) @t40))) % 0.33/0.58 (step @p36 :rule alpha_equiv :args (@t43 (@list @t33) (@list @t15))) % 0.33/0.58 (step @p37 :rule refl :args (@t11)) % 0.33/0.58 (step @p38 :rule refl :args (@t36)) % 0.33/0.58 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t44)) % 0.33/0.58 (step @p40 :rule quant-miniscope-or :args ((= @t42 @t44))) % 0.33/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.33/0.58 (step @p42 :rule symm :premises (@p41)) % 0.33/0.58 (step @p43 :rule cong :premises (@p42) :args ((forall @t13 (or @t36 @t11 @t45)))) % 0.33/0.58 (step @p44 :rule trans :premises (@p43 @p35)) % 0.33/0.58 (step @p45 :rule trans :premises (@p44 @p34)) % 0.33/0.58 (step @p46 :rule bool-double-not-elim :args (@t45)) % 0.33/0.58 (step @p47 :rule nary_cong :premises (@p38 @p37 @p46) :args (@t48)) % 0.33/0.58 (step @p48 :rule aci_norm :args ((= (or @t36 (or @t11 @t47)) @t48))) % 0.33/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.33/0.58 (step @p50 :rule bool-and-de-morgan :args (@t10 @t46 true)) % 0.33/0.58 (step @p51 :rule nary_cong :premises (@p38 @p50) :args ((or @t36 (not (and @t10 @t46))))) % 0.33/0.58 (step @p52 :rule bool-and-de-morgan :args (@t12 @t10 (and @t46))) % 0.33/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.33/0.58 (step @p54 :rule trans :premises (@p53 @p49)) % 0.33/0.58 (step @p55 :rule cong :premises (@p54) :args (@t50)) % 0.33/0.58 (step @p56 :rule trans :premises (@p55 @p45)) % 0.33/0.58 (step @p57 :rule cong :premises (@p56) :args (@t51)) % 0.33/0.58 (step @p58 :rule exists-elim :args ((= (exists @t13 @t49) @t51))) % 0.33/0.58 (step @p59 :rule trans :premises (@p58 @p57)) % 0.33/0.58 (step @p60 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.33/0.58 (step @p61 :rule cong :premises (@p60) :args (@t52)) % 0.33/0.58 (step @p62 :rule cong :premises (@p61) :args (@t53)) % 0.33/0.58 (step @p63 :rule exists-elim :args ((= @t20 @t53))) % 0.33/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.33/0.58 (step @p65 :rule refl :args (@t10)) % 0.33/0.58 (step @p66 :rule refl :args (@t12)) % 0.33/0.58 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t21)) % 0.33/0.58 (step @p68 :rule cong :premises (@p67) :args (@t22)) % 0.33/0.58 (step @p69 :rule trans :premises (@p68 @p59)) % 0.33/0.58 (step @p70 :rule nary_cong :premises (@p69 @p32) :args (@t23)) % 0.33/0.58 (step @p71 :rule refl :args (@t24)) % 0.33/0.58 (step @p72 :rule cong :premises (@p71 @p70) :args (@t25)) % 0.33/0.58 (step @p73 :rule cong :premises (@p72) :args (@t26)) % 0.33/0.58 (step @p74 :rule eq_resolve :premises (@p21 @p73)) % 0.33/0.58 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.i2003_11_14_17_18_59896))) % 0.33/0.58 (step @p76 :rule cnf_equiv_pos1 :args (@t59)) % 0.33/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or (not @t32) @t58 (not @t59)))) % 0.33/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p28 @p75) :args (@t58 @t60 (@list @t32 @t59))) % 0.33/0.58 (step @p79 :rule cnf_and_pos :args (@t58 1)) % 0.33/0.58 (step @p80 :rule reordering :premises (@p79) :args ((or @t55 @t61))) % 0.33/0.58 (step @p81 :rule chain_m_resolution :premises (@p80 @p78) :args (@t55 @t62 @t63)) % 0.33/0.58 (step @p82 :rule cnf_and_pos :args (@t58 0)) % 0.33/0.58 (step @p83 :rule reordering :premises (@p82) :args ((or @t57 @t61))) % 0.33/0.58 (step @p84 :rule chain_m_resolution :premises (@p83 @p78) :args (@t57 @t62 @t63)) % 0.33/0.58 (step @p85 :rule skolemize :premises (@p84)) % 0.33/0.58 (step @p86 :rule bool-double-not-elim :args (@t65)) % 0.33/0.58 (step @p87 :rule refl :args (@t70)) % 0.33/0.58 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t70 (not @t67)))) % 0.33/0.58 (step @p89 :rule cnf_or_neg :args (@t70 1)) % 0.33/0.58 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.33/0.58 (step @p91 :rule reordering :premises (@p90) :args ((or @t65 @t70))) % 0.33/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p85) :args (@t65 @t71 @t72)) % 0.33/0.58 (step @p93 :rule bool-double-not-elim :args (@t68)) % 0.33/0.58 (step @p94 :rule nary_cong :premises (@p87 @p93) :args ((or @t70 (not @t69)))) % 0.33/0.58 (step @p95 :rule cnf_or_neg :args (@t70 0)) % 0.33/0.58 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.33/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t68 @t70))) % 0.33/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p85) :args (@t68 @t71 @t72)) % 0.33/0.58 (step @p99 :rule cnf_or_pos :args (@t73)) % 0.33/0.58 (step @p100 :rule reordering :premises (@p99) :args ((or @t69 @t67 @t74))) % 0.33/0.58 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p92) :args (@t74 @t60 (@list @t68 @t65))) % 0.33/0.58 (assume-push @p108 @t55) % 0.33/0.58 (step @p103 :rule instantiate :premises (@p81) :args ((@list @t64))) % 0.33/0.58 (step-pop @p109 :rule scope :premises (@p103)) % 0.33/0.58 (step @p104 :rule process_scope :premises (@p109) :args (@t73)) % 0.33/0.58 (step @p106 :rule implies_elim :premises (@p104)) % 0.33/0.58 (step @p107 false :rule chain_m_resolution :premises (@p106 @p101 @p81) :args (false (@list true false) (@list @t73 @t55))) % 0.33/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------