%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS179+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:29:04 AM UTC 2026 % Result : Theorem 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 : KRS179+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 05:28:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "S2" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "S1" $$unsorted)) % 0.39/0.57 (define @t3 () (@var "C" $$unsorted)) % 0.39/0.57 (define @t4 () (@var "Ax" $$unsorted)) % 0.39/0.57 (define @t5 () (tptp.status @t4 @t3 @t1)) % 0.39/0.57 (define @t6 () (tptp.status @t4 @t3 @t2)) % 0.39/0.57 (define @t7 () (@list @t4 @t3)) % 0.39/0.57 (define @t8 () (@list @t2 @t1)) % 0.39/0.57 (define @t9 () (tptp.isa @t2 @t1)) % 0.39/0.57 (define @t10 () (forall @t7 (=> @t6 @t5))) % 0.39/0.57 (define @t11 () (= @t10 @t9)) % 0.39/0.57 (define @t12 () (forall @t8 @t11)) % 0.39/0.57 (define @t13 () (not @t5)) % 0.39/0.57 (define @t14 () (@var "F" $$unsorted)) % 0.39/0.57 (define @t15 () (@var "I" $$unsorted)) % 0.39/0.57 (define @t16 () (tptp.model @t15 (tptp.not @t14))) % 0.39/0.57 (define @t17 () (tptp.model @t15 @t14)) % 0.39/0.57 (define @t18 () (@list @t15 @t14)) % 0.39/0.57 (define @t19 () (@list @t15)) % 0.39/0.57 (define @t20 () (@list @t14)) % 0.39/0.57 (define @t21 () (@var "I2" $$unsorted)) % 0.39/0.57 (define @t22 () (@list @t21)) % 0.39/0.57 (define @t23 () (@var "I1" $$unsorted)) % 0.39/0.57 (define @t24 () (@list @t23)) % 0.39/0.57 (define @t25 () (tptp.model @t21 @t3)) % 0.39/0.57 (define @t26 () (tptp.model @t21 @t4)) % 0.39/0.57 (define @t27 () (tptp.model @t23 @t3)) % 0.39/0.57 (define @t28 () (tptp.model @t23 @t4)) % 0.39/0.57 (define @t29 () (@var "I4" $$unsorted)) % 0.39/0.57 (define @t30 () (@var "I3" $$unsorted)) % 0.39/0.57 (define @t31 () (@var "S3" $$unsorted)) % 0.39/0.57 (define @t32 () (tptp.isa @t2 @t31)) % 0.39/0.57 (define @t33 () (tptp.isa @t1 @t31)) % 0.39/0.57 (define @t34 () (and @t9 @t33)) % 0.39/0.57 (define @t35 () (@list @t2 @t1 @t31)) % 0.39/0.57 (define @t36 () (forall @t35 (=> @t34 @t32))) % 0.39/0.57 (define @t37 () (not @t36)) % 0.39/0.57 (define @t38 () (not @t33)) % 0.39/0.57 (define @t39 () (not @t9)) % 0.39/0.57 (define @t40 () (or @t39 @t38 @t32)) % 0.39/0.57 (define @t41 () (forall @t35 @t40)) % 0.39/0.57 (define @t42 () (@quantifiers_skolemize @t41 2)) % 0.39/0.57 (define @t43 () (@quantifiers_skolemize @t41 0)) % 0.39/0.57 (define @t44 () (tptp.isa @t43 @t42)) % 0.39/0.57 (define @t45 () (@quantifiers_skolemize @t41 1)) % 0.39/0.57 (define @t46 () (tptp.isa @t45 @t42)) % 0.39/0.57 (define @t47 () (not @t46)) % 0.39/0.57 (define @t48 () (tptp.isa @t43 @t45)) % 0.39/0.57 (define @t49 () (not @t48)) % 0.39/0.57 (define @t50 () (or @t49 @t47 @t44)) % 0.39/0.57 (define @t51 () (@list true)) % 0.39/0.57 (define @t52 () (@list @t50)) % 0.39/0.57 (define @t53 () (tptp.status @t4 @t3 @t42)) % 0.39/0.57 (define @t54 () (not (tptp.status @t4 @t3 @t43))) % 0.39/0.57 (define @t55 () (forall @t7 (or @t54 @t53))) % 0.39/0.57 (define @t56 () (= @t44 @t55)) % 0.39/0.57 (define @t57 () (not @t55)) % 0.39/0.57 (define @t58 () (@quantifiers_skolemize @t55 1)) % 0.39/0.57 (define @t59 () (@quantifiers_skolemize @t55 0)) % 0.39/0.57 (define @t60 () (tptp.status @t59 @t58 @t42)) % 0.39/0.57 (define @t61 () (tptp.status @t59 @t58 @t43)) % 0.39/0.57 (define @t62 () (not @t61)) % 0.39/0.57 (define @t63 () (or @t62 @t60)) % 0.39/0.57 (define @t64 () (@list @t63)) % 0.39/0.57 (define @t65 () (tptp.status @t4 @t3 @t45)) % 0.39/0.57 (define @t66 () (forall @t7 (or (not @t65) @t53))) % 0.39/0.57 (define @t67 () (= @t46 @t66)) % 0.39/0.57 (define @t68 () (@list false false)) % 0.39/0.57 (define @t69 () (@list @t59 @t58)) % 0.39/0.57 (define @t70 () (forall @t7 (or @t54 @t65))) % 0.39/0.57 (define @t71 () (= @t48 @t70)) % 0.39/0.57 (define @t72 () (tptp.status @t59 @t58 @t45)) % 0.39/0.57 (define @t73 () (or @t62 @t72)) % 0.39/0.57 (define @t74 () (not @t72)) % 0.39/0.57 (define @t75 () (or @t74 @t60)) % 0.39/0.57 (assume @p1 (forall @t8 (= (exists @t7 (and @t6 @t5)) (tptp.mighta @t2 @t1)))) % 0.39/0.57 (assume @p2 @t12) % 0.39/0.57 (assume @p3 (forall @t8 (= (exists @t7 (and @t6 @t13)) (tptp.nota @t2 @t1)))) % 0.39/0.57 (assume @p4 (forall @t8 (= (forall @t7 (=> @t6 @t13)) (tptp.nevera @t2 @t1)))) % 0.39/0.57 (assume @p5 (forall @t8 (= (forall @t7 (xor @t6 @t5)) (tptp.xora @t2 @t1)))) % 0.39/0.57 (assume @p6 (forall @t18 (xor @t17 @t16))) % 0.39/0.57 (assume @p7 (forall @t18 (= @t17 (not @t16)))) % 0.39/0.57 (assume @p8 (exists @t20 (forall @t19 @t17))) % 0.39/0.57 (assume @p9 (exists @t20 (and (exists @t24 (tptp.model @t23 @t14)) (exists @t22 (not (tptp.model @t21 @t14)))))) % 0.39/0.57 (assume @p10 (exists @t20 (forall @t19 (not @t17)))) % 0.39/0.57 (assume @p11 (exists @t7 (and (exists @t24 (and @t28 @t27)) (exists @t22 (or (not @t26) (not @t25)))))) % 0.39/0.57 (assume @p12 (exists @t7 (and (exists @t24 @t28) (forall @t22 (=> @t26 @t25)) (exists (@list @t30) (and (not (tptp.model @t30 @t4)) (tptp.model @t30 @t3))) (exists (@list @t29) (not (tptp.model @t29 @t3)))))) % 0.39/0.57 (assume @p13 (exists (@list @t23 @t4 @t3) (and @t28 (not @t27) (exists @t22 @t25)))) % 0.39/0.57 (assume @p14 @t37) % 0.39/0.57 (assume @p15 true) % 0.39/0.57 (step @p16 :rule eq-symm :args ((forall @t7 (or (not @t6) @t5)) @t9)) % 0.39/0.57 (step @p17 :rule refl :args (@t9)) % 0.39/0.57 (step @p18 :rule bool-impl-elim :args (@t6 @t5)) % 0.39/0.57 (step @p19 :rule cong :premises (@p18) :args (@t10)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19 @p17) :args (@t11)) % 0.39/0.57 (step @p21 :rule trans :premises (@p20 @p16)) % 0.39/0.57 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.39/0.57 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.39/0.57 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t43 @t42))) % 0.39/0.57 (step @p25 :rule aci_norm :args ((= (or (or @t39 @t38) @t32) @t40))) % 0.39/0.57 (step @p26 :rule refl :args (@t32)) % 0.39/0.57 (step @p27 :rule bool-and-de-morgan :args (@t9 @t33 true)) % 0.39/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t34) @t32))) % 0.39/0.57 (step @p29 :rule trans :premises (@p28 @p25)) % 0.39/0.57 (step @p30 :rule bool-impl-elim :args (@t34 @t32)) % 0.39/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.39/0.57 (step @p32 :rule cong :premises (@p31) :args (@t36)) % 0.39/0.57 (step @p33 :rule cong :premises (@p32) :args (@t37)) % 0.39/0.57 (step @p34 :rule eq_resolve :premises (@p14 @p33)) % 0.39/0.57 (step @p35 :rule skolemize :premises (@p34)) % 0.39/0.57 (step @p36 :rule cnf_or_neg :args (@t50 2)) % 0.39/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p35) :args ((not @t44) @t51 @t52)) % 0.39/0.57 (step @p38 :rule cnf_equiv_pos2 :args (@t56)) % 0.39/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t44 @t57 (not @t56)))) % 0.39/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p24) :args (@t57 (@list true false) (@list @t44 @t56))) % 0.39/0.57 (step @p41 :rule skolemize :premises (@p40)) % 0.39/0.57 (step @p42 :rule cnf_or_neg :args (@t63 1)) % 0.39/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t60) @t51 @t64)) % 0.39/0.57 (step @p44 :rule instantiate :premises (@p23) :args ((@list @t45 @t42))) % 0.39/0.57 (step @p45 :rule bool-double-not-elim :args (@t46)) % 0.39/0.57 (step @p46 :rule refl :args (@t50)) % 0.39/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t50 (not @t47)))) % 0.39/0.57 (step @p48 :rule cnf_or_neg :args (@t50 1)) % 0.39/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.39/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t46 @t50))) % 0.39/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p35) :args (@t46 @t51 @t52)) % 0.39/0.57 (step @p52 :rule cnf_equiv_pos1 :args (@t67)) % 0.39/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t47 @t66 (not @t67)))) % 0.39/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p44) :args (@t66 @t68 (@list @t46 @t67))) % 0.39/0.57 (step @p55 :rule instantiate :premises (@p54) :args (@t69)) % 0.39/0.57 (step @p56 :rule instantiate :premises (@p23) :args ((@list @t43 @t45))) % 0.39/0.57 (step @p57 :rule bool-double-not-elim :args (@t48)) % 0.39/0.57 (step @p58 :rule nary_cong :premises (@p46 @p57) :args ((or @t50 (not @t49)))) % 0.39/0.57 (step @p59 :rule cnf_or_neg :args (@t50 0)) % 0.39/0.57 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.39/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t48 @t50))) % 0.39/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p35) :args (@t48 @t51 @t52)) % 0.39/0.57 (step @p63 :rule cnf_equiv_pos1 :args (@t71)) % 0.39/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t49 @t70 (not @t71)))) % 0.39/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p56) :args (@t70 @t68 (@list @t48 @t71))) % 0.39/0.57 (step @p66 :rule instantiate :premises (@p65) :args (@t69)) % 0.39/0.57 (step @p67 :rule bool-double-not-elim :args (@t61)) % 0.39/0.57 (step @p68 :rule refl :args (@t63)) % 0.39/0.57 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t63 (not @t62)))) % 0.39/0.57 (step @p70 :rule cnf_or_neg :args (@t63 0)) % 0.39/0.57 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.39/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t61 @t63))) % 0.39/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p41) :args (@t61 @t51 @t64)) % 0.39/0.57 (step @p74 :rule cnf_or_pos :args (@t73)) % 0.39/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t62 @t72 (not @t73)))) % 0.39/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p66) :args (@t72 @t68 (@list @t61 @t73))) % 0.39/0.57 (step @p77 :rule cnf_or_pos :args (@t75)) % 0.39/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t60 @t74 (not @t75)))) % 0.39/0.57 (step @p79 false :rule chain_m_resolution :premises (@p78 @p76 @p55 @p43) :args (false (@list false false true) (@list @t72 @t75 @t60))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------