%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS015-1 : 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 : n003.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 0.30s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS015-1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 05:25:29 EDT 2026 % 0.17/0.34 % 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 % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.s (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.exist $$unsorted) % 0.37/0.56 (declare-const tptp.u1r1 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.u4r3 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.t1most (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.u3r2 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.e (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.c (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.u4r2 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.u1r2 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.t2least (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.t (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.u4r1 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.d (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.u3r1 (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.u4r4 (-> $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (tptp.e tptp.exist)) % 0.37/0.56 (define @t2 () (@var "X1" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.c @t2)) % 0.37/0.56 (define @t4 () (tptp.t2least @t2)) % 0.37/0.56 (define @t5 () (@list @t2)) % 0.37/0.56 (define @t6 () (not @t4)) % 0.37/0.56 (define @t7 () (tptp.u1r1 @t2)) % 0.37/0.56 (define @t8 () (tptp.u1r2 @t2)) % 0.37/0.56 (define @t9 () (@var "X2" $$unsorted)) % 0.37/0.56 (define @t10 () (not (tptp.t @t2 @t9))) % 0.37/0.56 (define @t11 () (@var "X3" $$unsorted)) % 0.37/0.56 (define @t12 () (not (tptp.t @t2 @t11))) % 0.37/0.56 (define @t13 () (tptp.equalish @t11 @t9)) % 0.37/0.56 (define @t14 () (tptp.d @t2)) % 0.37/0.56 (define @t15 () (tptp.t1most @t2)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (forall (@list @t11 @t9 @t2) (or @t13 @t16 @t12 @t10))) % 0.37/0.56 (define @t18 () (tptp.u3r1 @t2)) % 0.37/0.56 (define @t19 () (tptp.u3r2 @t2)) % 0.37/0.56 (define @t20 () (tptp.e @t2)) % 0.37/0.56 (define @t21 () (not @t20)) % 0.37/0.56 (define @t22 () (@var "X4" $$unsorted)) % 0.37/0.56 (define @t23 () (tptp.r @t2 @t22)) % 0.37/0.56 (define @t24 () (tptp.s @t2 @t22)) % 0.37/0.56 (define @t25 () (@list @t2 @t22)) % 0.37/0.56 (define @t26 () (@var "X5" $$unsorted)) % 0.37/0.56 (define @t27 () (not (tptp.r @t2 @t26))) % 0.37/0.56 (define @t28 () (tptp.u4r2 @t2)) % 0.37/0.56 (define @t29 () (not (tptp.d @t28))) % 0.37/0.56 (define @t30 () (tptp.u4r1 @t2)) % 0.37/0.56 (define @t31 () (not (tptp.c @t30))) % 0.37/0.56 (define @t32 () (tptp.u4r3 @t2)) % 0.37/0.56 (define @t33 () (tptp.r @t2 @t32)) % 0.37/0.56 (define @t34 () (tptp.s @t2 @t32)) % 0.37/0.56 (define @t35 () (@list @t2 @t26)) % 0.37/0.56 (define @t36 () (not @t34)) % 0.37/0.56 (define @t37 () (not @t33)) % 0.37/0.56 (define @t38 () (tptp.s @t2 @t28)) % 0.37/0.56 (define @t39 () (tptp.r @t2 @t30)) % 0.37/0.56 (define @t40 () (tptp.u4r4 tptp.exist)) % 0.37/0.56 (define @t41 () (@list @t40)) % 0.37/0.56 (define @t42 () (@list @t40 tptp.exist)) % 0.37/0.56 (define @t43 () (not @t1)) % 0.37/0.56 (define @t44 () (tptp.r tptp.exist @t40)) % 0.37/0.56 (define @t45 () (or @t44 @t43)) % 0.37/0.56 (define @t46 () (@list false false)) % 0.37/0.56 (define @t47 () (not @t44)) % 0.37/0.56 (define @t48 () (tptp.s tptp.exist @t40)) % 0.37/0.56 (define @t49 () (or @t48 @t43 @t47)) % 0.37/0.56 (define @t50 () (@list false false false)) % 0.37/0.56 (define @t51 () (not @t48)) % 0.37/0.56 (define @t52 () (tptp.d @t40)) % 0.37/0.56 (define @t53 () (or @t52 @t43 @t51)) % 0.37/0.56 (define @t54 () (not @t52)) % 0.37/0.56 (define @t55 () (tptp.t1most @t40)) % 0.37/0.56 (define @t56 () (or @t55 @t54)) % 0.37/0.56 (define @t57 () (tptp.c @t40)) % 0.37/0.56 (define @t58 () (or @t57 @t43 @t47)) % 0.37/0.56 (define @t59 () (not @t57)) % 0.37/0.56 (define @t60 () (tptp.t2least @t40)) % 0.37/0.56 (define @t61 () (or @t60 @t59)) % 0.37/0.56 (define @t62 () (not @t60)) % 0.37/0.56 (define @t63 () (tptp.u1r2 @t40)) % 0.37/0.56 (define @t64 () (tptp.t @t40 @t63)) % 0.37/0.56 (define @t65 () (or @t64 @t62)) % 0.37/0.56 (define @t66 () (tptp.u1r1 @t40)) % 0.37/0.56 (define @t67 () (tptp.t @t40 @t66)) % 0.37/0.56 (define @t68 () (or @t67 @t62)) % 0.37/0.56 (define @t69 () (tptp.equalish @t63 @t66)) % 0.37/0.56 (define @t70 () (not @t69)) % 0.37/0.56 (define @t71 () (or @t62 @t70)) % 0.37/0.56 (define @t72 () (not @t67)) % 0.37/0.56 (define @t73 () (not @t64)) % 0.37/0.56 (define @t74 () (not @t55)) % 0.37/0.56 (define @t75 () (or @t69 @t74 @t73 @t72)) % 0.37/0.56 (define @t76 () (not @t75)) % 0.37/0.56 (assume @p1 @t1) % 0.37/0.56 (assume @p2 (forall @t5 (or @t4 (not @t3)))) % 0.37/0.56 (assume @p3 (forall @t5 (or @t3 @t6))) % 0.37/0.56 (assume @p4 (forall @t5 (or @t6 (not (tptp.equalish @t8 @t7))))) % 0.37/0.56 (assume @p5 (forall @t5 (or (tptp.t @t2 @t7) @t6))) % 0.37/0.56 (assume @p6 (forall @t5 (or (tptp.t @t2 @t8) @t6))) % 0.37/0.56 (assume @p7 (forall (@list @t2 @t11 @t9) (or @t4 @t13 @t12 @t10))) % 0.37/0.56 (assume @p8 (forall @t5 (or @t15 (not @t14)))) % 0.37/0.56 (assume @p9 (forall @t5 (or @t14 @t16))) % 0.37/0.56 (assume @p10 @t17) % 0.37/0.56 (assume @p11 (forall @t5 (or @t15 (not (tptp.equalish @t19 @t18))))) % 0.37/0.56 (assume @p12 (forall @t5 (or @t15 (tptp.t @t2 @t18)))) % 0.37/0.56 (assume @p13 (forall @t5 (or @t15 (tptp.t @t2 @t19)))) % 0.37/0.56 (assume @p14 (forall @t5 (or (tptp.r @t2 (tptp.u4r4 @t2)) @t21))) % 0.37/0.56 (assume @p15 (forall @t25 (or @t24 @t21 (not @t23)))) % 0.37/0.56 (assume @p16 (forall @t25 (or @t23 @t21 (not @t24)))) % 0.37/0.56 (assume @p17 (forall (@list @t11 @t2) (or (tptp.d @t11) @t21 (not (tptp.s @t2 @t11))))) % 0.37/0.56 (assume @p18 (forall (@list @t9 @t2) (or (tptp.c @t9) @t21 (not (tptp.r @t2 @t9))))) % 0.37/0.56 (assume @p19 (forall @t35 (or @t20 @t34 @t33 @t31 @t29 @t27))) % 0.37/0.56 (assume @p20 (forall @t35 (or @t20 @t31 @t29 @t37 @t36 @t27))) % 0.37/0.56 (assume @p21 (forall @t35 (or @t20 @t38 @t34 @t33 @t31 @t27))) % 0.37/0.56 (assume @p22 (forall @t35 (or @t20 @t38 @t31 @t37 @t36 @t27))) % 0.37/0.56 (assume @p23 (forall @t35 (or @t20 @t39 @t34 @t33 @t29 @t27))) % 0.37/0.56 (assume @p24 (forall @t35 (or @t20 @t39 @t29 @t37 @t36 @t27))) % 0.37/0.56 (assume @p25 (forall @t35 (or @t20 @t39 @t38 @t34 @t33 @t27))) % 0.37/0.56 (assume @p26 (forall @t35 (or @t20 @t39 @t38 @t37 @t36 @t27))) % 0.37/0.56 (step @p27 :rule instantiate :premises (@p8) :args (@t41)) % 0.37/0.56 (step @p28 :rule instantiate :premises (@p17) :args (@t42)) % 0.37/0.56 (step @p29 :rule instantiate :premises (@p15) :args ((@list tptp.exist @t40))) % 0.37/0.56 (step @p30 :rule instantiate :premises (@p14) :args ((@list tptp.exist))) % 0.37/0.56 (step @p31 :rule cnf_or_pos :args (@t45)) % 0.37/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t43 @t44 (not @t45)))) % 0.37/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p1 @p30) :args (@t44 @t46 (@list @t1 @t45))) % 0.37/0.56 (step @p34 :rule cnf_or_pos :args (@t49)) % 0.37/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t43 @t47 @t48 (not @t49)))) % 0.37/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p1 @p33 @p29) :args (@t48 @t50 (@list @t1 @t44 @t49))) % 0.37/0.56 (step @p37 :rule cnf_or_pos :args (@t53)) % 0.37/0.56 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t51 @t52 (not @t53)))) % 0.37/0.56 (step @p39 :rule chain_m_resolution :premises (@p38 @p1 @p36 @p28) :args (@t52 @t50 (@list @t1 @t48 @t53))) % 0.37/0.56 (step @p40 :rule cnf_or_pos :args (@t56)) % 0.37/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t54 @t55 (not @t56)))) % 0.37/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p27) :args (@t55 @t46 (@list @t52 @t56))) % 0.37/0.56 (step @p43 :rule instantiate :premises (@p6) :args (@t41)) % 0.37/0.56 (step @p44 :rule instantiate :premises (@p2) :args (@t41)) % 0.37/0.56 (step @p45 :rule instantiate :premises (@p18) :args (@t42)) % 0.37/0.56 (step @p46 :rule cnf_or_pos :args (@t58)) % 0.37/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t43 @t47 @t57 (not @t58)))) % 0.37/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p1 @p33 @p45) :args (@t57 @t50 (@list @t1 @t44 @t58))) % 0.37/0.56 (step @p49 :rule cnf_or_pos :args (@t61)) % 0.37/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t59 @t60 (not @t61)))) % 0.37/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p44) :args (@t60 @t46 (@list @t57 @t61))) % 0.37/0.56 (step @p52 :rule cnf_or_pos :args (@t65)) % 0.37/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t62 @t64 (not @t65)))) % 0.37/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p43) :args (@t64 @t46 (@list @t60 @t65))) % 0.37/0.56 (step @p55 :rule instantiate :premises (@p5) :args (@t41)) % 0.37/0.56 (step @p56 :rule cnf_or_pos :args (@t68)) % 0.37/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t62 @t67 (not @t68)))) % 0.37/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p51 @p55) :args (@t67 @t46 (@list @t60 @t68))) % 0.37/0.56 (step @p59 :rule instantiate :premises (@p4) :args (@t41)) % 0.37/0.56 (step @p60 :rule cnf_or_pos :args (@t71)) % 0.37/0.56 (step @p61 :rule reordering :premises (@p60) :args ((or @t62 @t70 (not @t71)))) % 0.37/0.56 (step @p62 :rule chain_m_resolution :premises (@p61 @p51 @p59) :args (@t70 @t46 (@list @t60 @t71))) % 0.37/0.56 (step @p63 :rule cnf_or_pos :args (@t75)) % 0.37/0.56 (step @p64 :rule reordering :premises (@p63) :args ((or @t69 @t72 @t73 @t74 @t76))) % 0.37/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p58 @p54 @p42) :args (@t76 (@list true false false false) (@list @t69 @t67 @t64 @t55))) % 0.37/0.56 (assume-push @p72 @t17) % 0.37/0.56 (step @p67 :rule instantiate :premises (@p10) :args ((@list @t63 @t66 @t40))) % 0.37/0.56 (step-pop @p73 :rule scope :premises (@p67)) % 0.37/0.56 (step @p68 :rule process_scope :premises (@p73) :args (@t75)) % 0.37/0.56 (step @p70 :rule implies_elim :premises (@p68)) % 0.37/0.56 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p10) :args (false (@list true false) (@list @t75 @t17))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------