%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS087+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 : n020.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 08:28:54 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS087+1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.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 05:27:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.i2003_11_14_17_19_46763 $$unsorted) % 0.39/0.58 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t3 () (= @t2 @t1)) % 0.39/0.58 (define @t4 () (@list @t2 @t1)) % 0.39/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.39/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t8 () (@list @t7)) % 0.39/0.58 (define @t9 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t10 () (tptp.cp1 @t9)) % 0.39/0.58 (define @t11 () (@var "W" $$unsorted)) % 0.39/0.58 (define @t12 () (not (tptp.cp1 @t11))) % 0.39/0.58 (define @t13 () (tptp.rinvR @t9 @t11)) % 0.39/0.58 (define @t14 () (@list @t11)) % 0.39/0.58 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.39/0.58 (define @t16 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t17 () (tptp.rr @t16 @t9)) % 0.39/0.58 (define @t18 () (and @t17 @t15 @t10)) % 0.39/0.58 (define @t19 () (@list @t9)) % 0.39/0.58 (define @t20 () (exists @t19 @t18)) % 0.39/0.58 (define @t21 () (tptp.rr @t7 @t16)) % 0.39/0.58 (define @t22 () (and @t21 @t20)) % 0.39/0.58 (define @t23 () (@list @t16)) % 0.39/0.58 (define @t24 () (exists @t23 @t22)) % 0.39/0.58 (define @t25 () (tptp.cp1 @t7)) % 0.39/0.58 (define @t26 () (and @t25 @t24)) % 0.39/0.58 (define @t27 () (tptp.cUnsatisfiable @t7)) % 0.39/0.58 (define @t28 () (= @t27 @t26)) % 0.39/0.58 (define @t29 () (forall @t8 @t28)) % 0.39/0.58 (define @t30 () (@list @t7 @t16 @t9)) % 0.39/0.58 (define @t31 () (@list @t7 @t16)) % 0.39/0.58 (define @t32 () (forall @t31 (= (tptp.rinvR @t7 @t16) (tptp.rr @t16 @t7)))) % 0.39/0.58 (define @t33 () (tptp.rr @t7 @t9)) % 0.39/0.58 (define @t34 () (and @t21 @t17)) % 0.39/0.58 (define @t35 () (forall @t30 (=> @t34 @t33))) % 0.39/0.58 (define @t36 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_46763)) % 0.39/0.58 (define @t37 () (not @t17)) % 0.39/0.58 (define @t38 () (not @t21)) % 0.39/0.58 (define @t39 () (@var "BOUND_VARIABLE_7762" $$unsorted)) % 0.39/0.58 (define @t40 () (not (tptp.cp1 @t39))) % 0.39/0.58 (define @t41 () (not (forall @t14 (or (not (tptp.rinvR @t39 @t11)) @t12)))) % 0.39/0.58 (define @t42 () (not (tptp.rr @t16 @t39))) % 0.39/0.58 (define @t43 () (@list @t16 @t39)) % 0.39/0.58 (define @t44 () (forall @t43 (or (not (tptp.rr tptp.i2003_11_14_17_19_46763 @t16)) @t42 @t41 @t40))) % 0.39/0.58 (define @t45 () (@quantifiers_skolemize @t44 1)) % 0.39/0.58 (define @t46 () (@quantifiers_skolemize @t44 0)) % 0.39/0.58 (define @t47 () (or @t42 @t41 @t40)) % 0.39/0.58 (define @t48 () (or @t38 @t47)) % 0.39/0.58 (define @t49 () (forall @t43 @t48)) % 0.39/0.58 (define @t50 () (@list @t39)) % 0.39/0.58 (define @t51 () (forall @t50 @t48)) % 0.39/0.58 (define @t52 () (forall @t50 @t47)) % 0.39/0.58 (define @t53 () (or @t38 @t52)) % 0.39/0.58 (define @t54 () (not @t10)) % 0.39/0.58 (define @t55 () (forall @t14 (or (not @t13) @t12))) % 0.39/0.58 (define @t56 () (not @t55)) % 0.39/0.58 (define @t57 () (or @t37 @t56 @t54)) % 0.39/0.58 (define @t58 () (forall @t19 @t57)) % 0.39/0.58 (define @t59 () (not @t58)) % 0.39/0.58 (define @t60 () (and @t21 @t59)) % 0.39/0.58 (define @t61 () (forall @t23 (not @t60))) % 0.39/0.58 (define @t62 () (not @t61)) % 0.39/0.58 (define @t63 () (and @t17 @t55 @t10)) % 0.39/0.58 (define @t64 () (forall @t19 (not @t63))) % 0.39/0.58 (define @t65 () (not @t64)) % 0.39/0.58 (define @t66 () (@list tptp.i2003_11_14_17_19_46763)) % 0.39/0.58 (define @t67 () (not @t44)) % 0.39/0.58 (define @t68 () (tptp.cp1 tptp.i2003_11_14_17_19_46763)) % 0.39/0.58 (define @t69 () (and @t68 @t67)) % 0.39/0.58 (define @t70 () (= @t36 @t69)) % 0.39/0.58 (define @t71 () (@list false false)) % 0.39/0.58 (define @t72 () (not @t69)) % 0.39/0.58 (define @t73 () (@list false)) % 0.39/0.58 (define @t74 () (@list @t69)) % 0.39/0.58 (define @t75 () (tptp.rr @t46 @t45)) % 0.39/0.58 (define @t76 () (forall @t14 (or (not (tptp.rinvR @t45 @t11)) @t12))) % 0.39/0.58 (define @t77 () (not @t76)) % 0.39/0.58 (define @t78 () (not @t75)) % 0.39/0.58 (define @t79 () (tptp.rr tptp.i2003_11_14_17_19_46763 @t46)) % 0.39/0.58 (define @t80 () (not @t79)) % 0.39/0.58 (define @t81 () (or @t80 @t78 @t77 (not (tptp.cp1 @t45)))) % 0.39/0.58 (define @t82 () (@list true)) % 0.39/0.58 (define @t83 () (@list @t81)) % 0.39/0.58 (define @t84 () (tptp.rr tptp.i2003_11_14_17_19_46763 @t45)) % 0.39/0.58 (define @t85 () (or @t80 @t78 @t84)) % 0.39/0.58 (define @t86 () (not @t68)) % 0.39/0.58 (define @t87 () (tptp.rinvR @t45 tptp.i2003_11_14_17_19_46763)) % 0.39/0.58 (define @t88 () (not @t87)) % 0.39/0.58 (define @t89 () (or @t88 @t86)) % 0.39/0.58 (define @t90 () (= @t84 @t87)) % 0.39/0.58 (define @t91 () (not @t90)) % 0.39/0.58 (define @t92 () (@list true false)) % 0.39/0.58 (define @t93 () (= @t87 @t84)) % 0.39/0.58 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.39/0.58 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.39/0.58 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.39/0.58 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.39/0.58 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.39/0.58 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.39/0.58 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.39/0.58 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.39/0.58 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.39/0.58 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.39/0.58 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.39/0.58 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.39/0.58 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.39/0.58 (assume @p14 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.39/0.58 (assume @p15 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.39/0.58 (assume @p16 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.39/0.58 (assume @p17 @t29) % 0.39/0.58 (assume @p18 (forall @t30 (=> (and (tptp.rf @t7 @t16) (tptp.rf @t7 @t9)) (= @t16 @t9)))) % 0.39/0.58 (assume @p19 (forall @t31 (= (tptp.rinvF @t7 @t16) (tptp.rf @t16 @t7)))) % 0.39/0.58 (assume @p20 @t32) % 0.39/0.58 (assume @p21 @t35) % 0.39/0.58 (assume @p22 @t36) % 0.39/0.58 (step @p23 :rule aci_norm :args ((= (or (or @t38 @t37) @t33) (or @t38 @t37 @t33)))) % 0.39/0.58 (step @p24 :rule refl :args (@t33)) % 0.39/0.58 (step @p25 :rule bool-and-de-morgan :args (@t21 @t17 true)) % 0.39/0.58 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t34) @t33))) % 0.39/0.58 (step @p27 :rule trans :premises (@p26 @p23)) % 0.39/0.58 (step @p28 :rule bool-impl-elim :args (@t34 @t33)) % 0.39/0.58 (step @p29 :rule trans :premises (@p28 @p27)) % 0.39/0.58 (step @p30 :rule cong :premises (@p29) :args (@t35)) % 0.39/0.58 (step @p31 :rule eq_resolve :premises (@p21 @p30)) % 0.39/0.58 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.i2003_11_14_17_19_46763 @t46 @t45))) % 0.39/0.58 (step @p33 :rule aci_norm :args ((= @t48 (or @t38 @t42 @t41 @t40)))) % 0.39/0.58 (step @p34 :rule cong :premises (@p33) :args (@t49)) % 0.39/0.58 (step @p35 :rule quant-merge-prenex :args ((= (forall @t23 @t51) @t49))) % 0.39/0.58 (step @p36 :rule alpha_equiv :args (@t52 (@list @t39) (@list @t9))) % 0.39/0.58 (step @p37 :rule refl :args (@t38)) % 0.39/0.58 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t53)) % 0.39/0.58 (step @p39 :rule quant-miniscope-or :args ((= @t51 @t53))) % 0.39/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.39/0.58 (step @p41 :rule symm :premises (@p40)) % 0.39/0.58 (step @p42 :rule cong :premises (@p41) :args ((forall @t23 (or @t38 @t58)))) % 0.39/0.58 (step @p43 :rule trans :premises (@p42 @p35)) % 0.39/0.58 (step @p44 :rule trans :premises (@p43 @p34)) % 0.39/0.58 (step @p45 :rule bool-double-not-elim :args (@t58)) % 0.39/0.58 (step @p46 :rule nary_cong :premises (@p37 @p45) :args ((or @t38 (not @t59)))) % 0.39/0.58 (step @p47 :rule bool-and-de-morgan :args (@t21 @t59 true)) % 0.39/0.58 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.58 (step @p49 :rule cong :premises (@p48) :args (@t61)) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p44)) % 0.39/0.58 (step @p51 :rule cong :premises (@p50) :args (@t62)) % 0.39/0.58 (step @p52 :rule exists-elim :args ((= (exists @t23 @t60) @t62))) % 0.39/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.58 (step @p54 :rule aci_norm :args ((= (or @t37 (or @t56 @t54)) @t57))) % 0.39/0.58 (step @p55 :rule bool-and-de-morgan :args (@t55 @t10 true)) % 0.39/0.58 (step @p56 :rule refl :args (@t37)) % 0.39/0.58 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t37 (not (and @t55 @t10))))) % 0.39/0.58 (step @p58 :rule bool-and-de-morgan :args (@t17 @t55 (and @t10))) % 0.39/0.58 (step @p59 :rule trans :premises (@p58 @p57)) % 0.39/0.58 (step @p60 :rule trans :premises (@p59 @p54)) % 0.39/0.58 (step @p61 :rule cong :premises (@p60) :args (@t64)) % 0.39/0.58 (step @p62 :rule cong :premises (@p61) :args (@t65)) % 0.39/0.58 (step @p63 :rule exists-elim :args ((= (exists @t19 @t63) @t65))) % 0.39/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.39/0.58 (step @p65 :rule refl :args (@t10)) % 0.39/0.58 (step @p66 :rule bool-impl-elim :args (@t13 @t12)) % 0.39/0.58 (step @p67 :rule cong :premises (@p66) :args (@t15)) % 0.39/0.58 (step @p68 :rule refl :args (@t17)) % 0.39/0.58 (step @p69 :rule nary_cong :premises (@p68 @p67 @p65) :args (@t18)) % 0.39/0.58 (step @p70 :rule cong :premises (@p69) :args (@t20)) % 0.39/0.58 (step @p71 :rule trans :premises (@p70 @p64)) % 0.39/0.58 (step @p72 :rule refl :args (@t21)) % 0.39/0.58 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t22)) % 0.39/0.58 (step @p74 :rule cong :premises (@p73) :args (@t24)) % 0.39/0.58 (step @p75 :rule trans :premises (@p74 @p53)) % 0.39/0.58 (step @p76 :rule refl :args (@t25)) % 0.39/0.58 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t26)) % 0.39/0.58 (step @p78 :rule refl :args (@t27)) % 0.39/0.58 (step @p79 :rule cong :premises (@p78 @p77) :args (@t28)) % 0.39/0.58 (step @p80 :rule cong :premises (@p79) :args (@t29)) % 0.39/0.58 (step @p81 :rule eq_resolve :premises (@p17 @p80)) % 0.39/0.58 (step @p82 :rule instantiate :premises (@p81) :args (@t66)) % 0.39/0.58 (step @p83 :rule cnf_equiv_pos1 :args (@t70)) % 0.39/0.58 (step @p84 :rule reordering :premises (@p83) :args ((or (not @t36) @t69 (not @t70)))) % 0.39/0.58 (step @p85 :rule chain_m_resolution :premises (@p84 @p22 @p82) :args (@t69 @t71 (@list @t36 @t70))) % 0.39/0.58 (step @p86 :rule cnf_and_pos :args (@t69 1)) % 0.39/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t67 @t72))) % 0.39/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t67 @t73 @t74)) % 0.39/0.58 (step @p89 :rule skolemize :premises (@p88)) % 0.39/0.58 (step @p90 :rule bool-double-not-elim :args (@t75)) % 0.39/0.58 (step @p91 :rule refl :args (@t81)) % 0.39/0.58 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t81 (not @t78)))) % 0.39/0.58 (step @p93 :rule cnf_or_neg :args (@t81 1)) % 0.39/0.58 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.39/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t75 @t81))) % 0.39/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t75 @t82 @t83)) % 0.39/0.58 (step @p97 :rule bool-double-not-elim :args (@t79)) % 0.39/0.58 (step @p98 :rule nary_cong :premises (@p91 @p97) :args ((or @t81 (not @t80)))) % 0.39/0.58 (step @p99 :rule cnf_or_neg :args (@t81 0)) % 0.39/0.58 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.39/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t79 @t81))) % 0.39/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p89) :args (@t79 @t82 @t83)) % 0.39/0.58 (step @p103 :rule cnf_or_pos :args (@t85)) % 0.39/0.58 (step @p104 :rule reordering :premises (@p103) :args ((or @t80 @t78 @t84 (not @t85)))) % 0.39/0.58 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p96 @p32) :args (@t84 (@list false false false) (@list @t79 @t75 @t85))) % 0.39/0.58 (step @p106 :rule bool-double-not-elim :args (@t76)) % 0.39/0.58 (step @p107 :rule nary_cong :premises (@p91 @p106) :args ((or @t81 (not @t77)))) % 0.39/0.58 (step @p108 :rule cnf_or_neg :args (@t81 2)) % 0.39/0.58 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.39/0.58 (step @p110 :rule reordering :premises (@p109) :args ((or @t76 @t81))) % 0.39/0.58 (step @p111 :rule chain_m_resolution :premises (@p110 @p89) :args (@t76 @t82 @t83)) % 0.39/0.58 (step @p112 :rule instantiate :premises (@p111) :args (@t66)) % 0.39/0.58 (step @p113 :rule cnf_and_pos :args (@t69 0)) % 0.39/0.58 (step @p114 :rule reordering :premises (@p113) :args ((or @t68 @t72))) % 0.39/0.58 (step @p115 :rule chain_m_resolution :premises (@p114 @p85) :args (@t68 @t73 @t74)) % 0.39/0.58 (step @p116 :rule cnf_or_pos :args (@t89)) % 0.39/0.58 (step @p117 :rule reordering :premises (@p116) :args ((or @t86 @t88 (not @t89)))) % 0.39/0.58 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p112) :args (@t88 @t71 (@list @t68 @t89))) % 0.39/0.58 (step @p119 :rule cnf_equiv_pos1 :args (@t90)) % 0.39/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t87 (not @t84) @t91))) % 0.39/0.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p105) :args (@t91 @t92 (@list @t87 @t84))) % 0.39/0.58 (step @p122 :rule eq-symm :args (@t87 @t84)) % 0.39/0.58 (step @p123 :rule refl :args (@t32)) % 0.39/0.58 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t32 @t93))) % 0.39/0.58 (assume-push @p132 @t32) % 0.39/0.58 (step @p126 :rule instantiate :premises (@p20) :args ((@list @t45 tptp.i2003_11_14_17_19_46763))) % 0.39/0.58 (step-pop @p133 :rule scope :premises (@p126)) % 0.39/0.58 (step @p127 :rule process_scope :premises (@p133) :args (@t93)) % 0.39/0.58 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 0.39/0.58 (step @p130 :rule implies_elim :premises (@p129)) % 0.39/0.58 (step @p131 false :rule chain_m_resolution :premises (@p130 @p121 @p20) :args (false @t92 (@list @t90 @t32))) % 0.39/0.58 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------