%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS181+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 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 08:29:05 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS181+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:28:30 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "S2" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "S1" $$unsorted)) % 0.36/0.57 (define @t3 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t4 () (@var "Ax" $$unsorted)) % 0.36/0.57 (define @t5 () (tptp.status @t4 @t3 @t1)) % 0.36/0.57 (define @t6 () (tptp.status @t4 @t3 @t2)) % 0.36/0.57 (define @t7 () (@list @t4 @t3)) % 0.36/0.57 (define @t8 () (@list @t2 @t1)) % 0.36/0.57 (define @t9 () (tptp.isa @t2 @t1)) % 0.36/0.57 (define @t10 () (forall @t7 (=> @t6 @t5))) % 0.36/0.57 (define @t11 () (= @t10 @t9)) % 0.36/0.57 (define @t12 () (forall @t8 @t11)) % 0.36/0.57 (define @t13 () (tptp.nota @t2 @t1)) % 0.36/0.57 (define @t14 () (not @t5)) % 0.36/0.57 (define @t15 () (and @t6 @t14)) % 0.36/0.57 (define @t16 () (exists @t7 @t15)) % 0.36/0.57 (define @t17 () (= @t16 @t13)) % 0.36/0.57 (define @t18 () (forall @t8 @t17)) % 0.36/0.57 (define @t19 () (@var "F" $$unsorted)) % 0.36/0.57 (define @t20 () (@var "I" $$unsorted)) % 0.36/0.57 (define @t21 () (tptp.model @t20 (tptp.not @t19))) % 0.36/0.57 (define @t22 () (tptp.model @t20 @t19)) % 0.36/0.57 (define @t23 () (@list @t20 @t19)) % 0.36/0.57 (define @t24 () (@list @t20)) % 0.36/0.57 (define @t25 () (@list @t19)) % 0.36/0.57 (define @t26 () (@var "I2" $$unsorted)) % 0.36/0.57 (define @t27 () (@list @t26)) % 0.36/0.57 (define @t28 () (@var "I1" $$unsorted)) % 0.36/0.57 (define @t29 () (@list @t28)) % 0.36/0.57 (define @t30 () (tptp.model @t26 @t3)) % 0.36/0.57 (define @t31 () (tptp.model @t26 @t4)) % 0.36/0.57 (define @t32 () (tptp.model @t28 @t3)) % 0.36/0.57 (define @t33 () (tptp.model @t28 @t4)) % 0.36/0.57 (define @t34 () (@var "I4" $$unsorted)) % 0.36/0.57 (define @t35 () (@var "I3" $$unsorted)) % 0.36/0.57 (define @t36 () (@var "S3" $$unsorted)) % 0.36/0.57 (define @t37 () (tptp.nota @t1 @t36)) % 0.36/0.57 (define @t38 () (tptp.nota @t2 @t36)) % 0.36/0.57 (define @t39 () (and @t9 @t38)) % 0.36/0.57 (define @t40 () (@list @t2 @t1 @t36)) % 0.36/0.57 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.36/0.57 (define @t42 () (not @t41)) % 0.36/0.57 (define @t43 () (not @t6)) % 0.36/0.57 (define @t44 () (forall @t7 (or @t43 @t5))) % 0.36/0.57 (define @t45 () (forall @t7 (not @t15))) % 0.36/0.57 (define @t46 () (not @t45)) % 0.36/0.57 (define @t47 () (not @t38)) % 0.36/0.57 (define @t48 () (not @t9)) % 0.36/0.57 (define @t49 () (or @t48 @t47 @t37)) % 0.36/0.57 (define @t50 () (forall @t40 @t49)) % 0.36/0.57 (define @t51 () (@quantifiers_skolemize @t50 2)) % 0.36/0.57 (define @t52 () (@quantifiers_skolemize @t50 0)) % 0.36/0.57 (define @t53 () (tptp.nota @t52 @t51)) % 0.36/0.57 (define @t54 () (@quantifiers_skolemize @t50 1)) % 0.36/0.57 (define @t55 () (tptp.nota @t54 @t51)) % 0.36/0.57 (define @t56 () (not @t53)) % 0.36/0.57 (define @t57 () (tptp.isa @t52 @t54)) % 0.36/0.57 (define @t58 () (not @t57)) % 0.36/0.57 (define @t59 () (or @t58 @t56 @t55)) % 0.36/0.57 (define @t60 () (@list true)) % 0.36/0.57 (define @t61 () (@list @t59)) % 0.36/0.57 (define @t62 () (tptp.status @t4 @t3 @t51)) % 0.36/0.57 (define @t63 () (not (tptp.status @t4 @t3 @t52))) % 0.36/0.57 (define @t64 () (forall @t7 (or @t63 @t62))) % 0.36/0.57 (define @t65 () (not @t64)) % 0.36/0.57 (define @t66 () (= @t53 @t65)) % 0.36/0.57 (define @t67 () (@list false false)) % 0.36/0.57 (define @t68 () (@quantifiers_skolemize @t64 1)) % 0.36/0.57 (define @t69 () (@quantifiers_skolemize @t64 0)) % 0.36/0.57 (define @t70 () (tptp.status @t69 @t68 @t51)) % 0.36/0.57 (define @t71 () (tptp.status @t69 @t68 @t52)) % 0.36/0.57 (define @t72 () (not @t71)) % 0.36/0.57 (define @t73 () (or @t72 @t70)) % 0.36/0.57 (define @t74 () (@list @t73)) % 0.36/0.57 (define @t75 () (tptp.status @t4 @t3 @t54)) % 0.36/0.57 (define @t76 () (forall @t7 (or (not @t75) @t62))) % 0.36/0.57 (define @t77 () (not @t76)) % 0.36/0.57 (define @t78 () (= @t55 @t77)) % 0.36/0.57 (define @t79 () (not @t78)) % 0.36/0.57 (define @t80 () (@list @t69 @t68)) % 0.36/0.57 (define @t81 () (forall @t7 (or @t63 @t75))) % 0.36/0.57 (define @t82 () (= @t57 @t81)) % 0.36/0.57 (define @t83 () (tptp.status @t69 @t68 @t54)) % 0.36/0.57 (define @t84 () (or @t72 @t83)) % 0.36/0.57 (define @t85 () (not @t83)) % 0.36/0.57 (define @t86 () (or @t85 @t70)) % 0.36/0.57 (assume @p1 (forall @t8 (= (exists @t7 (and @t6 @t5)) (tptp.mighta @t2 @t1)))) % 0.36/0.57 (assume @p2 @t12) % 0.36/0.57 (assume @p3 @t18) % 0.36/0.57 (assume @p4 (forall @t8 (= (forall @t7 (=> @t6 @t14)) (tptp.nevera @t2 @t1)))) % 0.36/0.57 (assume @p5 (forall @t8 (= (forall @t7 (xor @t6 @t5)) (tptp.xora @t2 @t1)))) % 0.36/0.57 (assume @p6 (forall @t23 (xor @t22 @t21))) % 0.36/0.57 (assume @p7 (forall @t23 (= @t22 (not @t21)))) % 0.36/0.57 (assume @p8 (exists @t25 (forall @t24 @t22))) % 0.36/0.57 (assume @p9 (exists @t25 (and (exists @t29 (tptp.model @t28 @t19)) (exists @t27 (not (tptp.model @t26 @t19)))))) % 0.36/0.57 (assume @p10 (exists @t25 (forall @t24 (not @t22)))) % 0.36/0.57 (assume @p11 (exists @t7 (and (exists @t29 (and @t33 @t32)) (exists @t27 (or (not @t31) (not @t30)))))) % 0.36/0.57 (assume @p12 (exists @t7 (and (exists @t29 @t33) (forall @t27 (=> @t31 @t30)) (exists (@list @t35) (and (not (tptp.model @t35 @t4)) (tptp.model @t35 @t3))) (exists (@list @t34) (not (tptp.model @t34 @t3)))))) % 0.36/0.57 (assume @p13 (exists (@list @t28 @t4 @t3) (and @t33 (not @t32) (exists @t27 @t30)))) % 0.36/0.57 (assume @p14 @t42) % 0.36/0.57 (assume @p15 true) % 0.36/0.57 (step @p16 :rule eq-symm :args ((not @t44) @t13)) % 0.36/0.57 (step @p17 :rule refl :args (@t13)) % 0.36/0.57 (step @p18 :rule bool-double-not-elim :args (@t5)) % 0.36/0.57 (step @p19 :rule refl :args (@t43)) % 0.36/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t43 (not @t14)))) % 0.36/0.57 (step @p21 :rule bool-and-de-morgan :args (@t6 @t14 true)) % 0.36/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.36/0.57 (step @p23 :rule cong :premises (@p22) :args (@t45)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23) :args (@t46)) % 0.36/0.57 (step @p25 :rule exists-elim :args ((= @t16 @t46))) % 0.36/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.57 (step @p27 :rule cong :premises (@p26 @p17) :args (@t17)) % 0.36/0.57 (step @p28 :rule trans :premises (@p27 @p16)) % 0.36/0.57 (step @p29 :rule cong :premises (@p28) :args (@t18)) % 0.36/0.57 (step @p30 :rule eq_resolve :premises (@p3 @p29)) % 0.36/0.57 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t52 @t51))) % 0.36/0.57 (step @p32 :rule aci_norm :args ((= (or (or @t48 @t47) @t37) @t49))) % 0.36/0.57 (step @p33 :rule refl :args (@t37)) % 0.36/0.57 (step @p34 :rule bool-and-de-morgan :args (@t9 @t38 true)) % 0.36/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t39) @t37))) % 0.36/0.57 (step @p36 :rule trans :premises (@p35 @p32)) % 0.36/0.57 (step @p37 :rule bool-impl-elim :args (@t39 @t37)) % 0.36/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.57 (step @p39 :rule cong :premises (@p38) :args (@t41)) % 0.36/0.57 (step @p40 :rule cong :premises (@p39) :args (@t42)) % 0.36/0.57 (step @p41 :rule eq_resolve :premises (@p14 @p40)) % 0.36/0.57 (step @p42 :rule skolemize :premises (@p41)) % 0.36/0.57 (step @p43 :rule bool-double-not-elim :args (@t53)) % 0.36/0.57 (step @p44 :rule refl :args (@t59)) % 0.36/0.57 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t59 (not @t56)))) % 0.36/0.57 (step @p46 :rule cnf_or_neg :args (@t59 1)) % 0.36/0.57 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.36/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t53 @t59))) % 0.36/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p42) :args (@t53 @t60 @t61)) % 0.36/0.57 (step @p50 :rule cnf_equiv_pos1 :args (@t66)) % 0.36/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t56 @t65 (not @t66)))) % 0.36/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p31) :args (@t65 @t67 (@list @t53 @t66))) % 0.36/0.57 (step @p53 :rule skolemize :premises (@p52)) % 0.36/0.57 (step @p54 :rule cnf_or_neg :args (@t73 1)) % 0.36/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p53) :args ((not @t70) @t60 @t74)) % 0.36/0.57 (step @p56 :rule instantiate :premises (@p30) :args ((@list @t54 @t51))) % 0.36/0.57 (step @p57 :rule cnf_or_neg :args (@t59 2)) % 0.36/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p42) :args ((not @t55) @t60 @t61)) % 0.36/0.57 (step @p59 :rule bool-double-not-elim :args (@t76)) % 0.36/0.57 (step @p60 :rule refl :args (@t55)) % 0.36/0.57 (step @p61 :rule refl :args (@t79)) % 0.36/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args ((or @t79 @t55 (not @t77)))) % 0.36/0.57 (step @p63 :rule cnf_equiv_pos2 :args (@t78)) % 0.36/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.36/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t55 @t76 @t79))) % 0.36/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p58 @p56) :args (@t76 (@list true false) (@list @t55 @t78))) % 0.36/0.57 (step @p67 :rule instantiate :premises (@p66) :args (@t80)) % 0.36/0.57 (step @p68 :rule eq-symm :args (@t44 @t9)) % 0.36/0.57 (step @p69 :rule refl :args (@t9)) % 0.36/0.57 (step @p70 :rule bool-impl-elim :args (@t6 @t5)) % 0.36/0.57 (step @p71 :rule cong :premises (@p70) :args (@t10)) % 0.36/0.57 (step @p72 :rule cong :premises (@p71 @p69) :args (@t11)) % 0.36/0.57 (step @p73 :rule trans :premises (@p72 @p68)) % 0.36/0.57 (step @p74 :rule cong :premises (@p73) :args (@t12)) % 0.36/0.57 (step @p75 :rule eq_resolve :premises (@p2 @p74)) % 0.36/0.57 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t52 @t54))) % 0.36/0.57 (step @p77 :rule bool-double-not-elim :args (@t57)) % 0.36/0.57 (step @p78 :rule nary_cong :premises (@p44 @p77) :args ((or @t59 (not @t58)))) % 0.36/0.57 (step @p79 :rule cnf_or_neg :args (@t59 0)) % 0.36/0.57 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.36/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t57 @t59))) % 0.36/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p42) :args (@t57 @t60 @t61)) % 0.36/0.57 (step @p83 :rule cnf_equiv_pos1 :args (@t82)) % 0.36/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t58 @t81 (not @t82)))) % 0.36/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p76) :args (@t81 @t67 (@list @t57 @t82))) % 0.36/0.57 (step @p86 :rule instantiate :premises (@p85) :args (@t80)) % 0.36/0.57 (step @p87 :rule bool-double-not-elim :args (@t71)) % 0.36/0.57 (step @p88 :rule refl :args (@t73)) % 0.36/0.57 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t73 (not @t72)))) % 0.36/0.57 (step @p90 :rule cnf_or_neg :args (@t73 0)) % 0.36/0.57 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.36/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t71 @t73))) % 0.36/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p53) :args (@t71 @t60 @t74)) % 0.36/0.57 (step @p94 :rule cnf_or_pos :args (@t84)) % 0.36/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t72 @t83 (not @t84)))) % 0.36/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86) :args (@t83 @t67 (@list @t71 @t84))) % 0.36/0.57 (step @p97 :rule cnf_or_pos :args (@t86)) % 0.36/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t70 @t85 (not @t86)))) % 0.36/0.57 (step @p99 false :rule chain_m_resolution :premises (@p98 @p96 @p67 @p55) :args (false (@list false false true) (@list @t83 @t86 @t70))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------