%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS013-1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:28:45 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS013-1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:25:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Unsatisfiable % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.u7r2 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.u7r1 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.s1most (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.s (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.u6r1 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.u5r2 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.u5r1 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.u4r1 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.s2least (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.e (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.c (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.u1r2 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.u4r2 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.exist $$unsorted) % 0.36/0.58 (declare-const tptp.t2least (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.u1r1 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.t1most (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.u3r2 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.t (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.d (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.f (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.u3r1 (-> $$unsorted $$unsorted)) % 0.36/0.58 (define @t1 () (tptp.e tptp.exist)) % 0.36/0.58 (define @t2 () (tptp.f tptp.exist)) % 0.36/0.58 (define @t3 () (@var "X1" $$unsorted)) % 0.36/0.58 (define @t4 () (tptp.c @t3)) % 0.36/0.58 (define @t5 () (tptp.t2least @t3)) % 0.36/0.58 (define @t6 () (@list @t3)) % 0.36/0.58 (define @t7 () (not @t5)) % 0.36/0.58 (define @t8 () (tptp.u1r1 @t3)) % 0.36/0.58 (define @t9 () (tptp.u1r2 @t3)) % 0.36/0.58 (define @t10 () (@var "X2" $$unsorted)) % 0.36/0.58 (define @t11 () (not (tptp.t @t3 @t10))) % 0.36/0.58 (define @t12 () (@var "X3" $$unsorted)) % 0.36/0.58 (define @t13 () (not (tptp.t @t3 @t12))) % 0.36/0.58 (define @t14 () (tptp.equalish @t12 @t10)) % 0.36/0.58 (define @t15 () (@list @t3 @t12 @t10)) % 0.36/0.58 (define @t16 () (tptp.d @t3)) % 0.36/0.58 (define @t17 () (tptp.t1most @t3)) % 0.36/0.58 (define @t18 () (not @t17)) % 0.36/0.58 (define @t19 () (@list @t12 @t10 @t3)) % 0.36/0.58 (define @t20 () (forall @t19 (or @t14 @t18 @t13 @t11))) % 0.36/0.58 (define @t21 () (tptp.u3r1 @t3)) % 0.36/0.58 (define @t22 () (tptp.u3r2 @t3)) % 0.36/0.58 (define @t23 () (tptp.e @t3)) % 0.36/0.58 (define @t24 () (not @t23)) % 0.36/0.58 (define @t25 () (not (tptp.r @t3 @t10))) % 0.36/0.58 (define @t26 () (@list @t10 @t3)) % 0.36/0.58 (define @t27 () (tptp.u4r2 @t3)) % 0.36/0.58 (define @t28 () (not (tptp.d @t27))) % 0.36/0.58 (define @t29 () (tptp.u4r1 @t3)) % 0.36/0.58 (define @t30 () (not (tptp.c @t29))) % 0.36/0.58 (define @t31 () (tptp.r @t3 @t27)) % 0.36/0.58 (define @t32 () (tptp.s2least @t29)) % 0.36/0.58 (define @t33 () (tptp.r @t3 @t29)) % 0.36/0.58 (define @t34 () (tptp.u5r1 @t3)) % 0.36/0.58 (define @t35 () (tptp.u5r2 @t3)) % 0.36/0.58 (define @t36 () (tptp.s2least @t3)) % 0.36/0.58 (define @t37 () (not @t36)) % 0.36/0.58 (define @t38 () (not (tptp.s @t3 @t10))) % 0.36/0.58 (define @t39 () (not (tptp.s @t3 @t12))) % 0.36/0.58 (define @t40 () (tptp.f @t3)) % 0.36/0.58 (define @t41 () (tptp.u6r1 @t3)) % 0.36/0.58 (define @t42 () (tptp.s1most @t3)) % 0.36/0.58 (define @t43 () (tptp.u7r1 @t3)) % 0.36/0.58 (define @t44 () (tptp.u7r2 @t3)) % 0.36/0.58 (define @t45 () (tptp.u6r1 tptp.exist)) % 0.36/0.58 (define @t46 () (@list @t45)) % 0.36/0.58 (define @t47 () (@list @t45 tptp.exist)) % 0.36/0.58 (define @t48 () (tptp.u7r1 @t45)) % 0.36/0.58 (define @t49 () (tptp.u7r2 @t45)) % 0.36/0.58 (define @t50 () (@list tptp.exist)) % 0.36/0.58 (define @t51 () (tptp.s1most @t45)) % 0.36/0.58 (define @t52 () (not @t51)) % 0.36/0.58 (define @t53 () (or @t2 @t52)) % 0.36/0.58 (define @t54 () (@list true false)) % 0.36/0.58 (define @t55 () (tptp.s @t45 @t49)) % 0.36/0.58 (define @t56 () (or @t51 @t55)) % 0.36/0.58 (define @t57 () (tptp.s @t45 @t48)) % 0.36/0.58 (define @t58 () (or @t51 @t57)) % 0.36/0.58 (define @t59 () (tptp.equalish @t49 @t48)) % 0.36/0.58 (define @t60 () (not @t59)) % 0.36/0.58 (define @t61 () (or @t51 @t60)) % 0.36/0.58 (define @t62 () (not @t57)) % 0.36/0.58 (define @t63 () (not @t55)) % 0.36/0.58 (define @t64 () (tptp.s2least @t45)) % 0.36/0.58 (define @t65 () (or @t64 @t59 @t63 @t62)) % 0.36/0.58 (define @t66 () (tptp.r tptp.exist @t45)) % 0.36/0.58 (define @t67 () (or @t2 @t66)) % 0.36/0.58 (define @t68 () (not @t64)) % 0.36/0.58 (define @t69 () (not @t66)) % 0.36/0.58 (define @t70 () (not @t1)) % 0.36/0.58 (define @t71 () (tptp.c @t45)) % 0.36/0.58 (define @t72 () (or @t71 @t70 @t69 @t68)) % 0.36/0.58 (define @t73 () (not @t71)) % 0.36/0.58 (define @t74 () (tptp.t2least @t45)) % 0.36/0.58 (define @t75 () (or @t74 @t73)) % 0.36/0.58 (define @t76 () (@list false false)) % 0.36/0.58 (define @t77 () (not @t74)) % 0.36/0.58 (define @t78 () (tptp.u1r2 @t45)) % 0.36/0.58 (define @t79 () (tptp.t @t45 @t78)) % 0.36/0.58 (define @t80 () (or @t79 @t77)) % 0.36/0.58 (define @t81 () (tptp.u1r1 @t45)) % 0.36/0.58 (define @t82 () (tptp.t @t45 @t81)) % 0.36/0.58 (define @t83 () (or @t82 @t77)) % 0.36/0.58 (define @t84 () (tptp.equalish @t78 @t81)) % 0.36/0.58 (define @t85 () (not @t84)) % 0.36/0.58 (define @t86 () (or @t77 @t85)) % 0.36/0.58 (define @t87 () (tptp.d @t45)) % 0.36/0.58 (define @t88 () (or @t87 @t70 @t69)) % 0.36/0.58 (define @t89 () (not @t87)) % 0.36/0.58 (define @t90 () (tptp.t1most @t45)) % 0.36/0.58 (define @t91 () (or @t90 @t89)) % 0.36/0.58 (define @t92 () (not @t82)) % 0.36/0.58 (define @t93 () (not @t79)) % 0.36/0.58 (define @t94 () (not @t90)) % 0.36/0.58 (define @t95 () (or @t84 @t94 @t93 @t92)) % 0.36/0.58 (define @t96 () (not @t95)) % 0.36/0.58 (assume @p1 @t1) % 0.36/0.58 (assume @p2 (not @t2)) % 0.36/0.58 (assume @p3 (forall @t6 (or @t5 (not @t4)))) % 0.36/0.58 (assume @p4 (forall @t6 (or @t4 @t7))) % 0.36/0.58 (assume @p5 (forall @t6 (or @t7 (not (tptp.equalish @t9 @t8))))) % 0.36/0.58 (assume @p6 (forall @t6 (or (tptp.t @t3 @t8) @t7))) % 0.36/0.58 (assume @p7 (forall @t6 (or (tptp.t @t3 @t9) @t7))) % 0.36/0.58 (assume @p8 (forall @t15 (or @t5 @t14 @t13 @t11))) % 0.36/0.58 (assume @p9 (forall @t6 (or @t17 (not @t16)))) % 0.36/0.58 (assume @p10 (forall @t6 (or @t16 @t18))) % 0.36/0.58 (assume @p11 @t20) % 0.36/0.58 (assume @p12 (forall @t6 (or @t17 (not (tptp.equalish @t22 @t21))))) % 0.36/0.58 (assume @p13 (forall @t6 (or @t17 (tptp.t @t3 @t21)))) % 0.36/0.58 (assume @p14 (forall @t6 (or @t17 (tptp.t @t3 @t22)))) % 0.36/0.58 (assume @p15 (forall (@list @t12 @t3) (or (tptp.d @t12) @t24 (not (tptp.r @t3 @t12))))) % 0.36/0.58 (assume @p16 (forall @t26 (or (tptp.c @t10) @t24 @t25 (not (tptp.s2least @t10))))) % 0.36/0.58 (assume @p17 (forall @t6 (or @t23 @t30 @t28))) % 0.36/0.58 (assume @p18 (forall @t6 (or @t23 @t31 @t30))) % 0.36/0.58 (assume @p19 (forall @t6 (or @t23 @t32 @t28))) % 0.36/0.58 (assume @p20 (forall @t6 (or @t23 @t32 @t31))) % 0.36/0.58 (assume @p21 (forall @t6 (or @t23 @t33 @t28))) % 0.36/0.58 (assume @p22 (forall @t6 (or @t23 @t33 @t31))) % 0.36/0.58 (assume @p23 (forall @t6 (or @t37 (not (tptp.equalish @t35 @t34))))) % 0.36/0.58 (assume @p24 (forall @t6 (or (tptp.s @t3 @t34) @t37))) % 0.36/0.58 (assume @p25 (forall @t6 (or (tptp.s @t3 @t35) @t37))) % 0.36/0.58 (assume @p26 (forall @t15 (or @t36 @t14 @t39 @t38))) % 0.36/0.58 (assume @p27 (forall @t26 (or (tptp.s1most @t10) (not @t40) @t25))) % 0.36/0.58 (assume @p28 (forall @t6 (or @t40 (not (tptp.s1most @t41))))) % 0.36/0.58 (assume @p29 (forall @t6 (or @t40 (tptp.r @t3 @t41)))) % 0.36/0.58 (assume @p30 (forall @t19 (or @t14 (not @t42) @t39 @t38))) % 0.36/0.58 (assume @p31 (forall @t6 (or @t42 (not (tptp.equalish @t44 @t43))))) % 0.36/0.58 (assume @p32 (forall @t6 (or @t42 (tptp.s @t3 @t43)))) % 0.36/0.58 (assume @p33 (forall @t6 (or @t42 (tptp.s @t3 @t44)))) % 0.36/0.58 (step @p34 :rule instantiate :premises (@p7) :args (@t46)) % 0.36/0.58 (step @p35 :rule instantiate :premises (@p3) :args (@t46)) % 0.36/0.58 (step @p36 :rule instantiate :premises (@p16) :args (@t47)) % 0.36/0.58 (step @p37 :rule instantiate :premises (@p26) :args ((@list @t45 @t49 @t48))) % 0.36/0.58 (step @p38 :rule instantiate :premises (@p33) :args (@t46)) % 0.36/0.58 (step @p39 :rule instantiate :premises (@p28) :args (@t50)) % 0.36/0.58 (step @p40 :rule cnf_or_pos :args (@t53)) % 0.36/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t2 @t52 (not @t53)))) % 0.36/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p2 @p39) :args (@t52 @t54 (@list @t2 @t53))) % 0.36/0.58 (step @p43 :rule cnf_or_pos :args (@t56)) % 0.36/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t51 @t55 (not @t56)))) % 0.36/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38) :args (@t55 @t54 (@list @t51 @t56))) % 0.36/0.58 (step @p46 :rule instantiate :premises (@p32) :args (@t46)) % 0.36/0.58 (step @p47 :rule cnf_or_pos :args (@t58)) % 0.36/0.59 (step @p48 :rule reordering :premises (@p47) :args ((or @t51 @t57 (not @t58)))) % 0.36/0.59 (step @p49 :rule chain_m_resolution :premises (@p48 @p42 @p46) :args (@t57 @t54 (@list @t51 @t58))) % 0.36/0.59 (step @p50 :rule instantiate :premises (@p31) :args (@t46)) % 0.36/0.59 (step @p51 :rule cnf_or_pos :args (@t61)) % 0.36/0.59 (step @p52 :rule reordering :premises (@p51) :args ((or @t51 @t60 (not @t61)))) % 0.36/0.59 (step @p53 :rule chain_m_resolution :premises (@p52 @p42 @p50) :args (@t60 @t54 (@list @t51 @t61))) % 0.36/0.59 (step @p54 :rule cnf_or_pos :args (@t65)) % 0.36/0.59 (step @p55 :rule reordering :premises (@p54) :args ((or @t64 @t59 @t62 @t63 (not @t65)))) % 0.36/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49 @p45 @p37) :args (@t64 (@list true false false false) (@list @t59 @t57 @t55 @t65))) % 0.36/0.59 (step @p57 :rule instantiate :premises (@p29) :args (@t50)) % 0.36/0.59 (step @p58 :rule cnf_or_pos :args (@t67)) % 0.36/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t2 @t66 (not @t67)))) % 0.36/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p2 @p57) :args (@t66 @t54 (@list @t2 @t67))) % 0.36/0.59 (step @p61 :rule cnf_or_pos :args (@t72)) % 0.36/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t70 @t69 @t71 @t68 (not @t72)))) % 0.36/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p1 @p60 @p56 @p36) :args (@t71 (@list false false false false) (@list @t1 @t66 @t64 @t72))) % 0.36/0.59 (step @p64 :rule cnf_or_pos :args (@t75)) % 0.36/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t73 @t74 (not @t75)))) % 0.36/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p35) :args (@t74 @t76 (@list @t71 @t75))) % 0.36/0.59 (step @p67 :rule cnf_or_pos :args (@t80)) % 0.36/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t77 @t79 (not @t80)))) % 0.36/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p34) :args (@t79 @t76 (@list @t74 @t80))) % 0.36/0.59 (step @p70 :rule instantiate :premises (@p6) :args (@t46)) % 0.36/0.59 (step @p71 :rule cnf_or_pos :args (@t83)) % 0.36/0.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t77 @t82 (not @t83)))) % 0.36/0.59 (step @p73 :rule chain_m_resolution :premises (@p72 @p66 @p70) :args (@t82 @t76 (@list @t74 @t83))) % 0.36/0.59 (step @p74 :rule instantiate :premises (@p5) :args (@t46)) % 0.36/0.59 (step @p75 :rule cnf_or_pos :args (@t86)) % 0.36/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t77 @t85 (not @t86)))) % 0.36/0.59 (step @p77 :rule chain_m_resolution :premises (@p76 @p66 @p74) :args (@t85 @t76 (@list @t74 @t86))) % 0.36/0.59 (step @p78 :rule instantiate :premises (@p9) :args (@t46)) % 0.36/0.59 (step @p79 :rule instantiate :premises (@p15) :args (@t47)) % 0.36/0.59 (step @p80 :rule cnf_or_pos :args (@t88)) % 0.36/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t70 @t69 @t87 (not @t88)))) % 0.36/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p1 @p60 @p79) :args (@t87 (@list false false false) (@list @t1 @t66 @t88))) % 0.36/0.59 (step @p83 :rule cnf_or_pos :args (@t91)) % 0.36/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t89 @t90 (not @t91)))) % 0.36/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p78) :args (@t90 @t76 (@list @t87 @t91))) % 0.36/0.59 (step @p86 :rule cnf_or_pos :args (@t95)) % 0.36/0.59 (step @p87 :rule reordering :premises (@p86) :args ((or @t94 @t84 @t92 @t93 @t96))) % 0.36/0.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p77 @p73 @p69) :args (@t96 (@list false true false false) (@list @t90 @t84 @t82 @t79))) % 0.36/0.59 (assume-push @p95 @t20) % 0.36/0.59 (step @p90 :rule instantiate :premises (@p11) :args ((@list @t78 @t81 @t45))) % 0.36/0.59 (step-pop @p96 :rule scope :premises (@p90)) % 0.36/0.59 (step @p91 :rule process_scope :premises (@p96) :args (@t95)) % 0.36/0.59 (step @p93 :rule implies_elim :premises (@p91)) % 0.36/0.59 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p11) :args (false @t54 (@list @t95 @t20))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------