%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS077+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 0.30s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS077+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 05:27:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.i2003_11_14_17_19_09372 $$unsorted) % 0.38/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t3 () (= @t2 @t1)) % 0.38/0.56 (define @t4 () (@list @t2 @t1)) % 0.38/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t6 () (@list @t2 @t1 @t5)) % 0.38/0.56 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t8 () (@list @t7)) % 0.38/0.56 (define @t9 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t10 () (tptp.cp @t9)) % 0.38/0.56 (define @t11 () (tptp.rs @t7 @t9)) % 0.38/0.56 (define @t12 () (and @t11 @t10)) % 0.38/0.56 (define @t13 () (@list @t9)) % 0.38/0.56 (define @t14 () (exists @t13 @t12)) % 0.38/0.56 (define @t15 () (not (tptp.cp @t7))) % 0.38/0.56 (define @t16 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t17 () (tptp.cp @t16)) % 0.38/0.56 (define @t18 () (tptp.rinvS @t9 @t16)) % 0.38/0.56 (define @t19 () (@list @t16)) % 0.38/0.56 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.38/0.56 (define @t21 () (tptp.rr @t7 @t9)) % 0.38/0.56 (define @t22 () (and @t21 @t20)) % 0.38/0.56 (define @t23 () (exists @t13 @t22)) % 0.38/0.56 (define @t24 () (@var "Y1" $$unsorted)) % 0.38/0.56 (define @t25 () (@var "Y0" $$unsorted)) % 0.38/0.56 (define @t26 () (= @t25 @t24)) % 0.38/0.56 (define @t27 () (tptp.rr @t7 @t24)) % 0.38/0.56 (define @t28 () (tptp.rr @t7 @t25)) % 0.38/0.56 (define @t29 () (and @t28 @t27)) % 0.38/0.56 (define @t30 () (@list @t25 @t24)) % 0.38/0.56 (define @t31 () (forall @t30 (=> @t29 @t26))) % 0.38/0.56 (define @t32 () (and @t31 @t23 @t15 @t14)) % 0.38/0.56 (define @t33 () (tptp.cUnsatisfiable @t7)) % 0.38/0.56 (define @t34 () (= @t33 @t32)) % 0.38/0.56 (define @t35 () (forall @t8 @t34)) % 0.38/0.56 (define @t36 () (@list @t7 @t9)) % 0.38/0.56 (define @t37 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_09372)) % 0.38/0.56 (define @t38 () (forall @t36 (=> @t11 @t21))) % 0.38/0.56 (define @t39 () (forall @t19 (or (not @t18) @t17))) % 0.38/0.56 (define @t40 () (forall @t13 (or (not (tptp.rr tptp.i2003_11_14_17_19_09372 @t9)) (not @t39)))) % 0.38/0.56 (define @t41 () (@quantifiers_skolemize @t40 0)) % 0.38/0.56 (define @t42 () (forall @t13 (not @t12))) % 0.38/0.56 (define @t43 () (not @t42)) % 0.38/0.56 (define @t44 () (and @t21 @t39)) % 0.38/0.56 (define @t45 () (forall @t13 (not @t44))) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (not @t27)) % 0.38/0.56 (define @t48 () (not @t28)) % 0.38/0.56 (define @t49 () (@list tptp.i2003_11_14_17_19_09372)) % 0.38/0.56 (define @t50 () (forall @t13 (or (not (tptp.rs tptp.i2003_11_14_17_19_09372 @t9)) (not @t10)))) % 0.38/0.56 (define @t51 () (not @t50)) % 0.38/0.56 (define @t52 () (tptp.cp tptp.i2003_11_14_17_19_09372)) % 0.38/0.56 (define @t53 () (not @t52)) % 0.38/0.56 (define @t54 () (not @t40)) % 0.38/0.56 (define @t55 () (forall @t30 (or (not (tptp.rr tptp.i2003_11_14_17_19_09372 @t25)) (not (tptp.rr tptp.i2003_11_14_17_19_09372 @t24)) @t26))) % 0.38/0.56 (define @t56 () (and @t55 @t54 @t53 @t51)) % 0.38/0.56 (define @t57 () (= @t37 @t56)) % 0.38/0.56 (define @t58 () (@list false false)) % 0.38/0.56 (define @t59 () (not @t56)) % 0.38/0.56 (define @t60 () (@list false)) % 0.38/0.56 (define @t61 () (@list @t56)) % 0.38/0.56 (define @t62 () (forall @t19 (or (not (tptp.rinvS @t41 @t16)) @t17))) % 0.38/0.56 (define @t63 () (not @t62)) % 0.38/0.56 (define @t64 () (tptp.rr tptp.i2003_11_14_17_19_09372 @t41)) % 0.38/0.56 (define @t65 () (not @t64)) % 0.38/0.56 (define @t66 () (or @t65 @t63)) % 0.38/0.56 (define @t67 () (@list true)) % 0.38/0.56 (define @t68 () (@list @t66)) % 0.38/0.56 (define @t69 () (tptp.rinvS @t41 tptp.i2003_11_14_17_19_09372)) % 0.38/0.56 (define @t70 () (not @t69)) % 0.38/0.56 (define @t71 () (or @t70 @t52)) % 0.38/0.56 (define @t72 () (@list true false)) % 0.38/0.56 (define @t73 () (tptp.rs tptp.i2003_11_14_17_19_09372 @t41)) % 0.38/0.56 (define @t74 () (= @t69 @t73)) % 0.38/0.56 (define @t75 () (not @t73)) % 0.38/0.56 (define @t76 () (@quantifiers_skolemize @t50 0)) % 0.38/0.56 (define @t77 () (tptp.rs tptp.i2003_11_14_17_19_09372 @t76)) % 0.38/0.56 (define @t78 () (not @t77)) % 0.38/0.56 (define @t79 () (or @t78 (not (tptp.cp @t76)))) % 0.38/0.56 (define @t80 () (tptp.rr tptp.i2003_11_14_17_19_09372 @t76)) % 0.38/0.56 (define @t81 () (or @t78 @t80)) % 0.38/0.56 (define @t82 () (= @t41 @t76)) % 0.38/0.56 (define @t83 () (not @t80)) % 0.38/0.56 (define @t84 () (or @t65 @t83 @t82)) % 0.38/0.56 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.38/0.56 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.38/0.56 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.38/0.56 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.38/0.56 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.38/0.56 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.38/0.56 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.38/0.56 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.38/0.56 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.38/0.56 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.38/0.56 (assume @p11 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.38/0.56 (assume @p12 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.38/0.56 (assume @p13 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.38/0.56 (assume @p14 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.38/0.56 (assume @p15 @t35) % 0.38/0.56 (assume @p16 (forall @t36 (= (tptp.rinvS @t7 @t9) (tptp.rs @t9 @t7)))) % 0.38/0.56 (assume @p17 @t37) % 0.38/0.56 (assume @p18 @t38) % 0.38/0.56 (step @p19 :rule evaluate :args ((= true false))) % 0.38/0.56 (step @p20 :rule instantiate :premises (@p16) :args ((@list @t41 tptp.i2003_11_14_17_19_09372))) % 0.38/0.56 (step @p21 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21) :args (@t42)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t43)) % 0.38/0.56 (step @p24 :rule exists-elim :args ((= @t14 @t43))) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.56 (step @p26 :rule refl :args (@t15)) % 0.38/0.56 (step @p27 :rule bool-and-de-morgan :args (@t21 @t39 true)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27) :args (@t45)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28) :args (@t46)) % 0.38/0.56 (step @p30 :rule exists-elim :args ((= (exists @t13 @t44) @t46))) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.56 (step @p32 :rule bool-impl-elim :args (@t18 @t17)) % 0.38/0.56 (step @p33 :rule cong :premises (@p32) :args (@t20)) % 0.38/0.56 (step @p34 :rule refl :args (@t21)) % 0.38/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t22)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35) :args (@t23)) % 0.38/0.56 (step @p37 :rule trans :premises (@p36 @p31)) % 0.38/0.56 (step @p38 :rule aci_norm :args ((= (or (or @t48 @t47) @t26) (or @t48 @t47 @t26)))) % 0.38/0.56 (step @p39 :rule refl :args (@t26)) % 0.38/0.56 (step @p40 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.38/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t29) @t26))) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p38)) % 0.38/0.56 (step @p43 :rule bool-impl-elim :args (@t29 @t26)) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args (@t31)) % 0.38/0.56 (step @p46 :rule nary_cong :premises (@p45 @p37 @p26 @p25) :args (@t32)) % 0.38/0.56 (step @p47 :rule refl :args (@t33)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args (@t34)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48) :args (@t35)) % 0.38/0.56 (step @p50 :rule eq_resolve :premises (@p15 @p49)) % 0.38/0.56 (step @p51 :rule instantiate :premises (@p50) :args (@t49)) % 0.38/0.56 (step @p52 :rule cnf_equiv_pos1 :args (@t57)) % 0.38/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or (not @t37) @t56 (not @t57)))) % 0.38/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p17 @p51) :args (@t56 @t58 (@list @t37 @t57))) % 0.38/0.56 (step @p55 :rule cnf_and_pos :args (@t56 1)) % 0.38/0.56 (step @p56 :rule reordering :premises (@p55) :args ((or @t54 @t59))) % 0.38/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p54) :args (@t54 @t60 @t61)) % 0.38/0.56 (step @p58 :rule skolemize :premises (@p57)) % 0.38/0.56 (step @p59 :rule bool-double-not-elim :args (@t62)) % 0.38/0.56 (step @p60 :rule refl :args (@t66)) % 0.38/0.56 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t66 (not @t63)))) % 0.38/0.56 (step @p62 :rule cnf_or_neg :args (@t66 1)) % 0.38/0.56 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.38/0.56 (step @p64 :rule reordering :premises (@p63) :args ((or @t62 @t66))) % 0.38/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t62 @t67 @t68)) % 0.38/0.56 (step @p66 :rule instantiate :premises (@p65) :args (@t49)) % 0.38/0.56 (step @p67 :rule cnf_and_pos :args (@t56 2)) % 0.38/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t53 @t59))) % 0.38/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p54) :args (@t53 @t60 @t61)) % 0.38/0.56 (step @p70 :rule cnf_or_pos :args (@t71)) % 0.38/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t52 @t70 (not @t71)))) % 0.38/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p66) :args (@t70 @t72 (@list @t52 @t71))) % 0.38/0.56 (step @p73 :rule cnf_equiv_pos2 :args (@t74)) % 0.38/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t69 @t75 (not @t74)))) % 0.38/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p20) :args (@t75 @t72 (@list @t69 @t74))) % 0.38/0.56 (step @p76 :rule false_intro :premises (@p75)) % 0.38/0.56 (step @p77 :rule cnf_and_pos :args (@t56 0)) % 0.38/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t55 @t59))) % 0.38/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p54) :args (@t55 @t60 @t61)) % 0.38/0.56 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t41 @t76))) % 0.38/0.56 (step @p81 :rule bool-impl-elim :args (@t11 @t21)) % 0.38/0.56 (step @p82 :rule cong :premises (@p81) :args (@t38)) % 0.38/0.56 (step @p83 :rule eq_resolve :premises (@p18 @p82)) % 0.38/0.56 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.i2003_11_14_17_19_09372 @t76))) % 0.38/0.56 (step @p85 :rule cnf_and_pos :args (@t56 3)) % 0.38/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t51 @t59))) % 0.38/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p54) :args (@t51 @t60 @t61)) % 0.38/0.56 (step @p88 :rule skolemize :premises (@p87)) % 0.38/0.56 (step @p89 :rule bool-double-not-elim :args (@t77)) % 0.38/0.56 (step @p90 :rule refl :args (@t79)) % 0.38/0.56 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t79 (not @t78)))) % 0.38/0.56 (step @p92 :rule cnf_or_neg :args (@t79 0)) % 0.38/0.56 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.56 (step @p94 :rule reordering :premises (@p93) :args ((or @t77 @t79))) % 0.38/0.56 (step @p95 :rule chain_m_resolution :premises (@p94 @p88) :args (@t77 @t67 (@list @t79))) % 0.38/0.56 (step @p96 :rule cnf_or_pos :args (@t81)) % 0.38/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t78 @t80 (not @t81)))) % 0.38/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p84) :args (@t80 @t58 (@list @t77 @t81))) % 0.38/0.56 (step @p99 :rule bool-double-not-elim :args (@t64)) % 0.38/0.56 (step @p100 :rule nary_cong :premises (@p60 @p99) :args ((or @t66 (not @t65)))) % 0.38/0.56 (step @p101 :rule cnf_or_neg :args (@t66 0)) % 0.38/0.56 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.38/0.56 (step @p103 :rule reordering :premises (@p102) :args ((or @t64 @t66))) % 0.38/0.56 (step @p104 :rule chain_m_resolution :premises (@p103 @p58) :args (@t64 @t67 @t68)) % 0.38/0.56 (step @p105 :rule cnf_or_pos :args (@t84)) % 0.38/0.56 (step @p106 :rule reordering :premises (@p105) :args ((or @t65 @t83 @t82 (not @t84)))) % 0.38/0.56 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p98 @p80) :args (@t82 (@list false false false) (@list @t64 @t80 @t84))) % 0.38/0.56 (step @p108 :rule symm :premises (@p107)) % 0.38/0.56 (step @p109 :rule refl :args (tptp.i2003_11_14_17_19_09372)) % 0.38/0.56 (step @p110 :rule cong :premises (@p109 @p108) :args (@t77)) % 0.38/0.56 (step @p111 :rule true_intro :premises (@p95)) % 0.38/0.56 (step @p112 :rule symm :premises (@p111)) % 0.38/0.56 (step @p113 :rule trans :premises (@p112 @p110 @p76)) % 0.38/0.56 (step @p114 false :rule eq_resolve :premises (@p113 @p19)) % 0.38/0.56 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------