%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA007-1 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:43:23 AM UTC 2026 % Result : Unsatisfiable 1.41s 1.69s % Output : Proof 1.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : PLA007-1 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:54:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.41/1.69 % SZS status Unsatisfiable % 1.41/1.69 % SZS output start Proof % 1.41/1.69 ( % 1.41/1.69 (declare-sort $$unsorted 0) % 1.41/1.69 (declare-const tptp.s0 $$unsorted) % 1.41/1.69 (declare-const tptp.d $$unsorted) % 1.41/1.69 (declare-const tptp.c $$unsorted) % 1.41/1.69 (declare-const tptp.clear (-> $$unsorted $$unsorted)) % 1.41/1.69 (declare-const tptp.putdown (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.69 (declare-const tptp.b $$unsorted) % 1.41/1.69 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.69 (declare-const tptp.do (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.69 (declare-const tptp.table $$unsorted) % 1.41/1.69 (declare-const tptp.differ (-> $$unsorted $$unsorted Bool)) % 1.41/1.69 (declare-const tptp.empty $$unsorted) % 1.41/1.69 (declare-const tptp.a $$unsorted) % 1.41/1.69 (declare-const tptp.pickup (-> $$unsorted $$unsorted)) % 1.41/1.69 (declare-const tptp.holding (-> $$unsorted $$unsorted)) % 1.41/1.69 (declare-const tptp.holds (-> $$unsorted $$unsorted Bool)) % 1.41/1.69 (declare-const tptp.on (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.69 (define @t1 () (@var "State" $$unsorted)) % 1.41/1.69 (define @t2 () (@var "Y" $$unsorted)) % 1.41/1.69 (define @t3 () (@var "X" $$unsorted)) % 1.41/1.69 (define @t4 () (@list @t3 @t2 @t1)) % 1.41/1.69 (define @t5 () (tptp.clear @t3)) % 1.41/1.69 (define @t6 () (not (tptp.holds @t5 @t1))) % 1.41/1.69 (define @t7 () (not (tptp.holds tptp.empty @t1))) % 1.41/1.69 (define @t8 () (tptp.do (tptp.pickup @t3) @t1)) % 1.41/1.69 (define @t9 () (tptp.holding @t3)) % 1.41/1.69 (define @t10 () (tptp.on @t3 @t2)) % 1.41/1.69 (define @t11 () (not (tptp.holds @t10 @t1))) % 1.41/1.69 (define @t12 () (tptp.clear @t2)) % 1.41/1.69 (define @t13 () (@var "Z" $$unsorted)) % 1.41/1.69 (define @t14 () (not (tptp.differ @t3 @t13))) % 1.41/1.69 (define @t15 () (tptp.do (tptp.pickup @t13) @t1)) % 1.41/1.69 (define @t16 () (not (tptp.holds @t12 @t1))) % 1.41/1.69 (define @t17 () (not (tptp.holds @t9 @t1))) % 1.41/1.69 (define @t18 () (tptp.do (tptp.putdown @t3 @t2) @t1)) % 1.41/1.69 (define @t19 () (@var "W" $$unsorted)) % 1.41/1.69 (define @t20 () (tptp.clear @t13)) % 1.41/1.69 (define @t21 () (tptp.differ tptp.a tptp.b)) % 1.41/1.69 (define @t22 () (tptp.differ tptp.a tptp.c)) % 1.41/1.69 (define @t23 () (tptp.differ tptp.a tptp.d)) % 1.41/1.69 (define @t24 () (tptp.differ tptp.a tptp.table)) % 1.41/1.69 (define @t25 () (tptp.differ tptp.b tptp.c)) % 1.41/1.69 (define @t26 () (tptp.differ tptp.b tptp.d)) % 1.41/1.69 (define @t27 () (tptp.differ tptp.c tptp.table)) % 1.41/1.69 (define @t28 () (tptp.holds (tptp.on tptp.c tptp.d) tptp.s0)) % 1.41/1.69 (define @t29 () (tptp.clear tptp.a)) % 1.41/1.69 (define @t30 () (tptp.holds @t29 tptp.s0)) % 1.41/1.69 (define @t31 () (tptp.clear tptp.b)) % 1.41/1.69 (define @t32 () (tptp.holds @t31 tptp.s0)) % 1.41/1.69 (define @t33 () (tptp.holds (tptp.clear tptp.c) tptp.s0)) % 1.41/1.69 (define @t34 () (tptp.holds tptp.empty tptp.s0)) % 1.41/1.69 (define @t35 () (@list @t1)) % 1.41/1.69 (define @t36 () (tptp.on tptp.a tptp.d)) % 1.41/1.69 (define @t37 () (forall @t35 (not (tptp.holds @t36 @t1)))) % 1.41/1.69 (define @t38 () (tptp.do (tptp.pickup tptp.c) tptp.s0)) % 1.41/1.69 (define @t39 () (tptp.do (tptp.putdown tptp.c tptp.b) @t38)) % 1.41/1.69 (define @t40 () (tptp.do (tptp.pickup tptp.a) @t39)) % 1.41/1.69 (define @t41 () (not @t26)) % 1.41/1.69 (define @t42 () (tptp.differ tptp.d tptp.b)) % 1.41/1.69 (define @t43 () (or @t42 @t41)) % 1.41/1.69 (define @t44 () (@list false false)) % 1.41/1.69 (define @t45 () (not @t34)) % 1.41/1.69 (define @t46 () (not @t33)) % 1.41/1.69 (define @t47 () (not @t28)) % 1.41/1.69 (define @t48 () (tptp.clear tptp.d)) % 1.41/1.69 (define @t49 () (tptp.holds @t48 @t38)) % 1.41/1.69 (define @t50 () (or @t49 @t47 @t46 @t45)) % 1.41/1.69 (define @t51 () (@list false false false false)) % 1.41/1.69 (define @t52 () (not @t42)) % 1.41/1.69 (define @t53 () (not @t49)) % 1.41/1.69 (define @t54 () (tptp.holds @t48 @t39)) % 1.41/1.69 (define @t55 () (or @t54 @t53 @t52)) % 1.41/1.69 (define @t56 () (@list false false false)) % 1.41/1.69 (define @t57 () (not @t23)) % 1.41/1.69 (define @t58 () (tptp.differ tptp.d tptp.a)) % 1.41/1.69 (define @t59 () (or @t58 @t57)) % 1.41/1.69 (define @t60 () (not @t58)) % 1.41/1.69 (define @t61 () (not @t54)) % 1.41/1.69 (define @t62 () (tptp.holds @t48 @t40)) % 1.41/1.69 (define @t63 () (or @t62 @t61 @t60)) % 1.41/1.69 (define @t64 () (not @t22)) % 1.41/1.69 (define @t65 () (not @t30)) % 1.41/1.69 (define @t66 () (tptp.holds @t29 @t38)) % 1.41/1.69 (define @t67 () (or @t66 @t65 @t64)) % 1.41/1.69 (define @t68 () (not @t21)) % 1.41/1.69 (define @t69 () (not @t66)) % 1.41/1.69 (define @t70 () (tptp.holds @t29 @t39)) % 1.41/1.69 (define @t71 () (or @t70 @t69 @t68)) % 1.41/1.69 (define @t72 () (not @t25)) % 1.41/1.69 (define @t73 () (not @t32)) % 1.41/1.69 (define @t74 () (tptp.holds @t31 @t38)) % 1.41/1.69 (define @t75 () (or @t74 @t73 @t72)) % 1.41/1.69 (define @t76 () (not @t27)) % 1.41/1.69 (define @t77 () (tptp.holds (tptp.holding tptp.c) @t38)) % 1.41/1.69 (define @t78 () (or @t77 @t45 @t46 @t76)) % 1.41/1.69 (define @t79 () (not @t74)) % 1.41/1.69 (define @t80 () (not @t77)) % 1.41/1.69 (define @t81 () (tptp.holds tptp.empty @t39)) % 1.41/1.69 (define @t82 () (or @t81 @t80 @t79)) % 1.41/1.69 (define @t83 () (not @t24)) % 1.41/1.69 (define @t84 () (not @t70)) % 1.41/1.69 (define @t85 () (not @t81)) % 1.41/1.69 (define @t86 () (tptp.holds (tptp.holding tptp.a) @t40)) % 1.41/1.69 (define @t87 () (or @t86 @t85 @t84 @t83)) % 1.41/1.69 (define @t88 () (not @t62)) % 1.41/1.69 (define @t89 () (not @t86)) % 1.41/1.69 (define @t90 () (tptp.do (tptp.putdown tptp.a tptp.d) @t40)) % 1.41/1.69 (define @t91 () (tptp.holds @t36 @t90)) % 1.41/1.69 (define @t92 () (or @t91 @t89 @t88)) % 1.41/1.69 (assume @p1 (forall @t4 (or (tptp.holds (tptp.and @t3 @t2) @t1) (not (tptp.holds @t3 @t1)) (not (tptp.holds @t2 @t1))))) % 1.41/1.69 (assume @p2 (forall (@list @t3 @t1) (or (tptp.holds @t9 @t8) @t7 @t6 (not (tptp.differ @t3 tptp.table))))) % 1.41/1.69 (assume @p3 (forall (@list @t2 @t3 @t1) (or (tptp.holds @t12 @t8) @t11 @t6 @t7))) % 1.41/1.69 (assume @p4 (forall (@list @t3 @t2 @t13 @t1) (or (tptp.holds @t10 @t15) @t11 @t14))) % 1.41/1.69 (assume @p5 (forall (@list @t3 @t13 @t1) (or (tptp.holds @t5 @t15) @t6 @t14))) % 1.41/1.69 (assume @p6 (forall @t4 (or (tptp.holds tptp.empty @t18) @t17 @t16))) % 1.41/1.69 (assume @p7 (forall @t4 (or (tptp.holds @t10 @t18) @t17 @t16))) % 1.41/1.69 (assume @p8 (forall @t4 (or (tptp.holds @t5 @t18) @t17 @t16))) % 1.41/1.69 (assume @p9 (forall (@list @t3 @t2 @t13 @t19 @t1) (or (tptp.holds @t10 (tptp.do (tptp.putdown @t13 @t19) @t1)) @t11))) % 1.41/1.69 (assume @p10 (forall (@list @t13 @t3 @t2 @t1) (or (tptp.holds @t20 @t18) (not (tptp.holds @t20 @t1)) (not (tptp.differ @t13 @t2))))) % 1.41/1.69 (assume @p11 (forall (@list @t3 @t2) (or (tptp.differ @t3 @t2) (not (tptp.differ @t2 @t3))))) % 1.41/1.69 (assume @p12 @t21) % 1.41/1.69 (assume @p13 @t22) % 1.41/1.69 (assume @p14 @t23) % 1.41/1.69 (assume @p15 @t24) % 1.41/1.69 (assume @p16 @t25) % 1.41/1.69 (assume @p17 @t26) % 1.41/1.69 (assume @p18 (tptp.differ tptp.b tptp.table)) % 1.41/1.69 (assume @p19 (tptp.differ tptp.c tptp.d)) % 1.41/1.69 (assume @p20 @t27) % 1.41/1.69 (assume @p21 (tptp.differ tptp.d tptp.table)) % 1.41/1.69 (assume @p22 (tptp.holds (tptp.on tptp.a tptp.table) tptp.s0)) % 1.41/1.69 (assume @p23 (tptp.holds (tptp.on tptp.b tptp.table) tptp.s0)) % 1.41/1.69 (assume @p24 @t28) % 1.41/1.69 (assume @p25 (tptp.holds (tptp.on tptp.d tptp.table) tptp.s0)) % 1.41/1.69 (assume @p26 @t30) % 1.41/1.69 (assume @p27 @t32) % 1.41/1.69 (assume @p28 @t33) % 1.41/1.69 (assume @p29 @t34) % 1.41/1.69 (assume @p30 (forall @t35 (tptp.holds (tptp.clear tptp.table) @t1))) % 1.41/1.69 (assume @p31 @t37) % 1.41/1.69 (step @p32 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.d @t40))) % 1.41/1.69 (step @p33 :rule instantiate :premises (@p5) :args ((@list tptp.d tptp.a @t39))) % 1.41/1.69 (step @p34 :rule instantiate :premises (@p10) :args ((@list tptp.d tptp.c tptp.b @t38))) % 1.41/1.69 (step @p35 :rule instantiate :premises (@p11) :args ((@list tptp.d tptp.b))) % 1.41/1.69 (step @p36 :rule cnf_or_pos :args (@t43)) % 1.41/1.69 (step @p37 :rule reordering :premises (@p36) :args ((or @t41 @t42 (not @t43)))) % 1.41/1.69 (step @p38 :rule chain_m_resolution :premises (@p37 @p17 @p35) :args (@t42 @t44 (@list @t26 @t43))) % 1.41/1.69 (step @p39 :rule instantiate :premises (@p3) :args ((@list tptp.d tptp.c tptp.s0))) % 1.41/1.69 (step @p40 :rule cnf_or_pos :args (@t50)) % 1.41/1.69 (step @p41 :rule reordering :premises (@p40) :args ((or @t47 @t46 @t45 @t49 (not @t50)))) % 1.41/1.69 (step @p42 :rule chain_m_resolution :premises (@p41 @p24 @p28 @p29 @p39) :args (@t49 @t51 (@list @t28 @t33 @t34 @t50))) % 1.41/1.69 (step @p43 :rule cnf_or_pos :args (@t55)) % 1.41/1.69 (step @p44 :rule reordering :premises (@p43) :args ((or @t53 @t52 @t54 (not @t55)))) % 1.41/1.69 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38 @p34) :args (@t54 @t56 (@list @t49 @t42 @t55))) % 1.41/1.69 (step @p46 :rule instantiate :premises (@p11) :args ((@list tptp.d tptp.a))) % 1.41/1.69 (step @p47 :rule cnf_or_pos :args (@t59)) % 1.41/1.69 (step @p48 :rule reordering :premises (@p47) :args ((or @t57 @t58 (not @t59)))) % 1.41/1.69 (step @p49 :rule chain_m_resolution :premises (@p48 @p14 @p46) :args (@t58 @t44 (@list @t23 @t59))) % 1.41/1.69 (step @p50 :rule cnf_or_pos :args (@t63)) % 1.41/1.69 (step @p51 :rule reordering :premises (@p50) :args ((or @t60 @t61 @t62 (not @t63)))) % 1.41/1.69 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45 @p33) :args (@t62 @t56 (@list @t58 @t54 @t63))) % 1.41/1.69 (step @p53 :rule instantiate :premises (@p2) :args ((@list tptp.a @t39))) % 1.41/1.69 (step @p54 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.c tptp.b @t38))) % 1.41/1.69 (step @p55 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.c tptp.s0))) % 1.41/1.69 (step @p56 :rule cnf_or_pos :args (@t67)) % 1.41/1.69 (step @p57 :rule reordering :premises (@p56) :args ((or @t64 @t65 @t66 (not @t67)))) % 1.41/1.69 (step @p58 :rule chain_m_resolution :premises (@p57 @p13 @p26 @p55) :args (@t66 @t56 (@list @t22 @t30 @t67))) % 1.41/1.69 (step @p59 :rule cnf_or_pos :args (@t71)) % 1.41/1.69 (step @p60 :rule reordering :premises (@p59) :args ((or @t68 @t69 @t70 (not @t71)))) % 1.41/1.69 (step @p61 :rule chain_m_resolution :premises (@p60 @p12 @p58 @p54) :args (@t70 @t56 (@list @t21 @t66 @t71))) % 1.41/1.69 (step @p62 :rule instantiate :premises (@p6) :args ((@list tptp.c tptp.b @t38))) % 1.41/1.69 (step @p63 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.c tptp.s0))) % 1.41/1.69 (step @p64 :rule cnf_or_pos :args (@t75)) % 1.41/1.69 (step @p65 :rule reordering :premises (@p64) :args ((or @t72 @t73 @t74 (not @t75)))) % 1.41/1.69 (step @p66 :rule chain_m_resolution :premises (@p65 @p16 @p27 @p63) :args (@t74 @t56 (@list @t25 @t32 @t75))) % 1.41/1.69 (step @p67 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.s0))) % 1.41/1.69 (step @p68 :rule cnf_or_pos :args (@t78)) % 1.41/1.69 (step @p69 :rule reordering :premises (@p68) :args ((or @t76 @t46 @t45 @t77 (not @t78)))) % 1.41/1.69 (step @p70 :rule chain_m_resolution :premises (@p69 @p20 @p28 @p29 @p67) :args (@t77 @t51 (@list @t27 @t33 @t34 @t78))) % 1.41/1.69 (step @p71 :rule cnf_or_pos :args (@t82)) % 1.41/1.69 (step @p72 :rule reordering :premises (@p71) :args ((or @t80 @t79 @t81 (not @t82)))) % 1.41/1.69 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p66 @p62) :args (@t81 @t56 (@list @t77 @t74 @t82))) % 1.41/1.69 (step @p74 :rule cnf_or_pos :args (@t87)) % 1.41/1.69 (step @p75 :rule reordering :premises (@p74) :args ((or @t83 @t85 @t86 @t84 (not @t87)))) % 1.41/1.69 (step @p76 :rule chain_m_resolution :premises (@p75 @p15 @p73 @p61 @p53) :args (@t86 @t51 (@list @t24 @t81 @t70 @t87))) % 1.41/1.69 (step @p77 :rule cnf_or_pos :args (@t92)) % 1.41/1.69 (step @p78 :rule reordering :premises (@p77) :args ((or @t89 @t91 @t88 (not @t92)))) % 1.41/1.69 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p52 @p32) :args (@t91 @t56 (@list @t86 @t62 @t92))) % 1.41/1.69 (assume-push @p86 @t37) % 1.41/1.69 (step @p81 :rule instantiate :premises (@p31) :args ((@list @t90))) % 1.41/1.69 (step-pop @p87 :rule scope :premises (@p81)) % 1.41/1.69 (step @p82 :rule process_scope :premises (@p87) :args ((not @t91))) % 1.41/1.69 (step @p84 :rule implies_elim :premises (@p82)) % 1.41/1.69 (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p31) :args (false @t44 (@list @t91 @t37))) % 1.41/1.69 ) % 1.41/1.69 % SZS output end Proof % 1.41/1.70 % cvc5 exiting %------------------------------------------------------------------------------