%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA019-1 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:43:24 AM UTC 2026 % Result : Unsatisfiable 1.42s 1.63s % Output : Proof 1.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA019-1 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.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 12:56:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.42/1.63 % SZS status Unsatisfiable % 1.42/1.63 % SZS output start Proof % 1.42/1.63 ( % 1.42/1.63 (declare-sort $$unsorted 0) % 1.42/1.63 (declare-const tptp.s0 $$unsorted) % 1.42/1.63 (declare-const tptp.d $$unsorted) % 1.42/1.63 (declare-const tptp.c $$unsorted) % 1.42/1.63 (declare-const tptp.clear (-> $$unsorted $$unsorted)) % 1.42/1.63 (declare-const tptp.putdown (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.63 (declare-const tptp.b $$unsorted) % 1.42/1.63 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.63 (declare-const tptp.do (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.63 (declare-const tptp.table $$unsorted) % 1.42/1.63 (declare-const tptp.differ (-> $$unsorted $$unsorted Bool)) % 1.42/1.63 (declare-const tptp.empty $$unsorted) % 1.42/1.63 (declare-const tptp.a $$unsorted) % 1.42/1.63 (declare-const tptp.pickup (-> $$unsorted $$unsorted)) % 1.42/1.63 (declare-const tptp.holding (-> $$unsorted $$unsorted)) % 1.42/1.63 (declare-const tptp.holds (-> $$unsorted $$unsorted Bool)) % 1.42/1.63 (declare-const tptp.on (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.63 (define @t1 () (@var "State" $$unsorted)) % 1.42/1.63 (define @t2 () (@var "Y" $$unsorted)) % 1.42/1.63 (define @t3 () (@var "X" $$unsorted)) % 1.42/1.63 (define @t4 () (@list @t3 @t2 @t1)) % 1.42/1.63 (define @t5 () (tptp.clear @t3)) % 1.42/1.63 (define @t6 () (not (tptp.holds @t5 @t1))) % 1.42/1.63 (define @t7 () (not (tptp.holds tptp.empty @t1))) % 1.42/1.63 (define @t8 () (tptp.do (tptp.pickup @t3) @t1)) % 1.42/1.63 (define @t9 () (tptp.holding @t3)) % 1.42/1.63 (define @t10 () (tptp.on @t3 @t2)) % 1.42/1.63 (define @t11 () (not (tptp.holds @t10 @t1))) % 1.42/1.63 (define @t12 () (tptp.clear @t2)) % 1.42/1.63 (define @t13 () (@var "Z" $$unsorted)) % 1.42/1.63 (define @t14 () (not (tptp.differ @t3 @t13))) % 1.42/1.63 (define @t15 () (tptp.do (tptp.pickup @t13) @t1)) % 1.42/1.63 (define @t16 () (not (tptp.holds @t12 @t1))) % 1.42/1.63 (define @t17 () (not (tptp.holds @t9 @t1))) % 1.42/1.63 (define @t18 () (tptp.do (tptp.putdown @t3 @t2) @t1)) % 1.42/1.63 (define @t19 () (@var "W" $$unsorted)) % 1.42/1.63 (define @t20 () (tptp.clear @t13)) % 1.42/1.63 (define @t21 () (tptp.differ tptp.b tptp.c)) % 1.42/1.63 (define @t22 () (tptp.differ tptp.b tptp.d)) % 1.42/1.63 (define @t23 () (tptp.differ tptp.c tptp.d)) % 1.42/1.63 (define @t24 () (tptp.differ tptp.c tptp.table)) % 1.42/1.63 (define @t25 () (tptp.differ tptp.d tptp.table)) % 1.42/1.63 (define @t26 () (tptp.holds (tptp.on tptp.c tptp.d) tptp.s0)) % 1.42/1.63 (define @t27 () (tptp.clear tptp.b)) % 1.42/1.63 (define @t28 () (tptp.holds @t27 tptp.s0)) % 1.42/1.63 (define @t29 () (tptp.clear tptp.c)) % 1.42/1.63 (define @t30 () (tptp.holds @t29 tptp.s0)) % 1.42/1.63 (define @t31 () (tptp.holds tptp.empty tptp.s0)) % 1.42/1.63 (define @t32 () (@list @t1)) % 1.42/1.63 (define @t33 () (tptp.on tptp.d tptp.c)) % 1.42/1.63 (define @t34 () (forall @t32 (not (tptp.holds @t33 @t1)))) % 1.42/1.63 (define @t35 () (tptp.do (tptp.pickup tptp.c) tptp.s0)) % 1.42/1.63 (define @t36 () (tptp.do (tptp.putdown tptp.c tptp.b) @t35)) % 1.42/1.63 (define @t37 () (tptp.do (tptp.pickup tptp.d) @t36)) % 1.42/1.63 (define @t38 () (@list tptp.c tptp.b @t35)) % 1.42/1.63 (define @t39 () (not @t21)) % 1.42/1.63 (define @t40 () (not @t28)) % 1.42/1.63 (define @t41 () (tptp.holds @t27 @t35)) % 1.42/1.63 (define @t42 () (or @t41 @t40 @t39)) % 1.42/1.63 (define @t43 () (@list false false false)) % 1.42/1.63 (define @t44 () (not @t24)) % 1.42/1.63 (define @t45 () (not @t30)) % 1.42/1.63 (define @t46 () (not @t31)) % 1.42/1.63 (define @t47 () (tptp.holds (tptp.holding tptp.c) @t35)) % 1.42/1.63 (define @t48 () (or @t47 @t46 @t45 @t44)) % 1.42/1.63 (define @t49 () (@list false false false false)) % 1.42/1.63 (define @t50 () (not @t41)) % 1.42/1.63 (define @t51 () (not @t47)) % 1.42/1.63 (define @t52 () (tptp.holds @t29 @t36)) % 1.42/1.63 (define @t53 () (or @t52 @t51 @t50)) % 1.42/1.63 (define @t54 () (not @t23)) % 1.42/1.63 (define @t55 () (not @t52)) % 1.42/1.63 (define @t56 () (tptp.holds @t29 @t37)) % 1.42/1.63 (define @t57 () (or @t56 @t55 @t54)) % 1.42/1.63 (define @t58 () (not @t22)) % 1.42/1.63 (define @t59 () (tptp.differ tptp.d tptp.b)) % 1.42/1.63 (define @t60 () (or @t59 @t58)) % 1.42/1.63 (define @t61 () (@list false false)) % 1.42/1.63 (define @t62 () (not @t26)) % 1.42/1.63 (define @t63 () (tptp.clear tptp.d)) % 1.42/1.63 (define @t64 () (tptp.holds @t63 @t35)) % 1.42/1.63 (define @t65 () (or @t64 @t62 @t45 @t46)) % 1.42/1.63 (define @t66 () (not @t59)) % 1.42/1.63 (define @t67 () (not @t64)) % 1.42/1.63 (define @t68 () (tptp.holds @t63 @t36)) % 1.42/1.63 (define @t69 () (or @t68 @t67 @t66)) % 1.42/1.63 (define @t70 () (tptp.holds tptp.empty @t36)) % 1.42/1.63 (define @t71 () (or @t70 @t51 @t50)) % 1.42/1.63 (define @t72 () (not @t25)) % 1.42/1.63 (define @t73 () (not @t68)) % 1.42/1.63 (define @t74 () (not @t70)) % 1.42/1.63 (define @t75 () (tptp.holds (tptp.holding tptp.d) @t37)) % 1.42/1.63 (define @t76 () (or @t75 @t74 @t73 @t72)) % 1.42/1.63 (define @t77 () (not @t56)) % 1.42/1.63 (define @t78 () (not @t75)) % 1.42/1.63 (define @t79 () (tptp.do (tptp.putdown tptp.d tptp.c) @t37)) % 1.42/1.63 (define @t80 () (tptp.holds @t33 @t79)) % 1.42/1.63 (define @t81 () (or @t80 @t78 @t77)) % 1.42/1.63 (assume @p1 (forall @t4 (or (tptp.holds (tptp.and @t3 @t2) @t1) (not (tptp.holds @t3 @t1)) (not (tptp.holds @t2 @t1))))) % 1.42/1.63 (assume @p2 (forall (@list @t3 @t1) (or (tptp.holds @t9 @t8) @t7 @t6 (not (tptp.differ @t3 tptp.table))))) % 1.42/1.63 (assume @p3 (forall (@list @t2 @t3 @t1) (or (tptp.holds @t12 @t8) @t11 @t6 @t7))) % 1.42/1.63 (assume @p4 (forall (@list @t3 @t2 @t13 @t1) (or (tptp.holds @t10 @t15) @t11 @t14))) % 1.42/1.63 (assume @p5 (forall (@list @t3 @t13 @t1) (or (tptp.holds @t5 @t15) @t6 @t14))) % 1.42/1.63 (assume @p6 (forall @t4 (or (tptp.holds tptp.empty @t18) @t17 @t16))) % 1.42/1.63 (assume @p7 (forall @t4 (or (tptp.holds @t10 @t18) @t17 @t16))) % 1.42/1.63 (assume @p8 (forall @t4 (or (tptp.holds @t5 @t18) @t17 @t16))) % 1.42/1.63 (assume @p9 (forall (@list @t3 @t2 @t13 @t19 @t1) (or (tptp.holds @t10 (tptp.do (tptp.putdown @t13 @t19) @t1)) @t11))) % 1.42/1.63 (assume @p10 (forall (@list @t13 @t3 @t2 @t1) (or (tptp.holds @t20 @t18) (not (tptp.holds @t20 @t1)) (not (tptp.differ @t13 @t2))))) % 1.42/1.63 (assume @p11 (forall (@list @t3 @t2) (or (tptp.differ @t3 @t2) (not (tptp.differ @t2 @t3))))) % 1.42/1.63 (assume @p12 (tptp.differ tptp.a tptp.b)) % 1.42/1.63 (assume @p13 (tptp.differ tptp.a tptp.c)) % 1.42/1.63 (assume @p14 (tptp.differ tptp.a tptp.d)) % 1.42/1.63 (assume @p15 (tptp.differ tptp.a tptp.table)) % 1.42/1.63 (assume @p16 @t21) % 1.42/1.63 (assume @p17 @t22) % 1.42/1.63 (assume @p18 (tptp.differ tptp.b tptp.table)) % 1.42/1.63 (assume @p19 @t23) % 1.42/1.63 (assume @p20 @t24) % 1.42/1.63 (assume @p21 @t25) % 1.42/1.63 (assume @p22 (tptp.holds (tptp.on tptp.a tptp.table) tptp.s0)) % 1.42/1.63 (assume @p23 (tptp.holds (tptp.on tptp.b tptp.table) tptp.s0)) % 1.42/1.63 (assume @p24 @t26) % 1.42/1.63 (assume @p25 (tptp.holds (tptp.on tptp.d tptp.table) tptp.s0)) % 1.42/1.63 (assume @p26 (tptp.holds (tptp.clear tptp.a) tptp.s0)) % 1.42/1.63 (assume @p27 @t28) % 1.42/1.63 (assume @p28 @t30) % 1.42/1.63 (assume @p29 @t31) % 1.42/1.63 (assume @p30 (forall @t32 (tptp.holds (tptp.clear tptp.table) @t1))) % 1.42/1.63 (assume @p31 @t34) % 1.42/1.63 (step @p32 :rule instantiate :premises (@p7) :args ((@list tptp.d tptp.c @t37))) % 1.42/1.63 (step @p33 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.d @t36))) % 1.42/1.63 (step @p34 :rule instantiate :premises (@p8) :args (@t38)) % 1.42/1.63 (step @p35 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.c tptp.s0))) % 1.42/1.63 (step @p36 :rule cnf_or_pos :args (@t42)) % 1.42/1.63 (step @p37 :rule reordering :premises (@p36) :args ((or @t39 @t40 @t41 (not @t42)))) % 1.42/1.63 (step @p38 :rule chain_m_resolution :premises (@p37 @p16 @p27 @p35) :args (@t41 @t43 (@list @t21 @t28 @t42))) % 1.42/1.63 (step @p39 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.s0))) % 1.42/1.63 (step @p40 :rule cnf_or_pos :args (@t48)) % 1.42/1.63 (step @p41 :rule reordering :premises (@p40) :args ((or @t44 @t45 @t46 @t47 (not @t48)))) % 1.42/1.63 (step @p42 :rule chain_m_resolution :premises (@p41 @p20 @p28 @p29 @p39) :args (@t47 @t49 (@list @t24 @t30 @t31 @t48))) % 1.42/1.63 (step @p43 :rule cnf_or_pos :args (@t53)) % 1.42/1.63 (step @p44 :rule reordering :premises (@p43) :args ((or @t51 @t50 @t52 (not @t53)))) % 1.42/1.63 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38 @p34) :args (@t52 @t43 (@list @t47 @t41 @t53))) % 1.42/1.63 (step @p46 :rule cnf_or_pos :args (@t57)) % 1.42/1.63 (step @p47 :rule reordering :premises (@p46) :args ((or @t54 @t55 @t56 (not @t57)))) % 1.42/1.63 (step @p48 :rule chain_m_resolution :premises (@p47 @p19 @p45 @p33) :args (@t56 @t43 (@list @t23 @t52 @t57))) % 1.42/1.63 (step @p49 :rule instantiate :premises (@p2) :args ((@list tptp.d @t36))) % 1.42/1.63 (step @p50 :rule instantiate :premises (@p10) :args ((@list tptp.d tptp.c tptp.b @t35))) % 1.42/1.63 (step @p51 :rule instantiate :premises (@p11) :args ((@list tptp.d tptp.b))) % 1.42/1.63 (step @p52 :rule cnf_or_pos :args (@t60)) % 1.42/1.63 (step @p53 :rule reordering :premises (@p52) :args ((or @t58 @t59 (not @t60)))) % 1.42/1.63 (step @p54 :rule chain_m_resolution :premises (@p53 @p17 @p51) :args (@t59 @t61 (@list @t22 @t60))) % 1.42/1.63 (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.d tptp.c tptp.s0))) % 1.42/1.63 (step @p56 :rule cnf_or_pos :args (@t65)) % 1.42/1.63 (step @p57 :rule reordering :premises (@p56) :args ((or @t62 @t45 @t46 @t64 (not @t65)))) % 1.42/1.63 (step @p58 :rule chain_m_resolution :premises (@p57 @p24 @p28 @p29 @p55) :args (@t64 @t49 (@list @t26 @t30 @t31 @t65))) % 1.42/1.63 (step @p59 :rule cnf_or_pos :args (@t69)) % 1.42/1.63 (step @p60 :rule reordering :premises (@p59) :args ((or @t67 @t66 @t68 (not @t69)))) % 1.42/1.63 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p54 @p50) :args (@t68 @t43 (@list @t64 @t59 @t69))) % 1.42/1.63 (step @p62 :rule instantiate :premises (@p6) :args (@t38)) % 1.42/1.63 (step @p63 :rule cnf_or_pos :args (@t71)) % 1.42/1.63 (step @p64 :rule reordering :premises (@p63) :args ((or @t51 @t50 @t70 (not @t71)))) % 1.42/1.63 (step @p65 :rule chain_m_resolution :premises (@p64 @p42 @p38 @p62) :args (@t70 @t43 (@list @t47 @t41 @t71))) % 1.42/1.63 (step @p66 :rule cnf_or_pos :args (@t76)) % 1.42/1.63 (step @p67 :rule reordering :premises (@p66) :args ((or @t72 @t74 @t75 @t73 (not @t76)))) % 1.42/1.63 (step @p68 :rule chain_m_resolution :premises (@p67 @p21 @p65 @p61 @p49) :args (@t75 @t49 (@list @t25 @t70 @t68 @t76))) % 1.42/1.63 (step @p69 :rule cnf_or_pos :args (@t81)) % 1.42/1.63 (step @p70 :rule reordering :premises (@p69) :args ((or @t78 @t77 @t80 (not @t81)))) % 1.42/1.63 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p48 @p32) :args (@t80 @t43 (@list @t75 @t56 @t81))) % 1.42/1.63 (assume-push @p78 @t34) % 1.42/1.63 (step @p73 :rule instantiate :premises (@p31) :args ((@list @t79))) % 1.42/1.63 (step-pop @p79 :rule scope :premises (@p73)) % 1.42/1.63 (step @p74 :rule process_scope :premises (@p79) :args ((not @t80))) % 1.42/1.63 (step @p76 :rule implies_elim :premises (@p74)) % 1.42/1.63 (step @p77 false :rule chain_m_resolution :premises (@p76 @p71 @p31) :args (false @t61 (@list @t80 @t34))) % 1.42/1.63 ) % 1.42/1.63 % SZS output end Proof % 1.42/1.63 % cvc5 exiting %------------------------------------------------------------------------------