%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA022-2 : 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 : n014.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 08:43:25 AM UTC 2026 % Result : Unsatisfiable 28.53s 28.79s % Output : Proof 28.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA022-2 : TPTP v9.2.1. Released v1.1.0. % 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 : n014.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 12:58:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.41/27.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.53/28.79 % SZS status Unsatisfiable % 28.53/28.79 % SZS output start Proof % 28.53/28.79 ( % 28.53/28.79 (declare-sort $$unsorted 0) % 28.53/28.79 (declare-const tptp.s0 $$unsorted) % 28.53/28.79 (declare-const tptp.d $$unsorted) % 28.53/28.79 (declare-const tptp.c $$unsorted) % 28.53/28.79 (declare-const tptp.clear (-> $$unsorted $$unsorted)) % 28.53/28.79 (declare-const tptp.putdown (-> $$unsorted $$unsorted $$unsorted)) % 28.53/28.79 (declare-const tptp.b $$unsorted) % 28.53/28.79 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 28.53/28.79 (declare-const tptp.do (-> $$unsorted $$unsorted $$unsorted)) % 28.53/28.79 (declare-const tptp.table $$unsorted) % 28.53/28.79 (declare-const tptp.differ (-> $$unsorted $$unsorted Bool)) % 28.53/28.79 (declare-const tptp.empty $$unsorted) % 28.53/28.79 (declare-const tptp.a $$unsorted) % 28.53/28.79 (declare-const tptp.pickup (-> $$unsorted $$unsorted)) % 28.53/28.79 (declare-const tptp.holding (-> $$unsorted $$unsorted)) % 28.53/28.79 (declare-const tptp.holds (-> $$unsorted $$unsorted Bool)) % 28.53/28.79 (declare-const tptp.on (-> $$unsorted $$unsorted $$unsorted)) % 28.53/28.79 (define @t1 () (@var "State" $$unsorted)) % 28.53/28.79 (define @t2 () (@var "Y" $$unsorted)) % 28.53/28.79 (define @t3 () (@var "X" $$unsorted)) % 28.53/28.79 (define @t4 () (@list @t3 @t2 @t1)) % 28.53/28.79 (define @t5 () (tptp.clear @t3)) % 28.53/28.79 (define @t6 () (not (tptp.holds @t5 @t1))) % 28.53/28.79 (define @t7 () (not (tptp.holds tptp.empty @t1))) % 28.53/28.79 (define @t8 () (tptp.do (tptp.pickup @t3) @t1)) % 28.53/28.79 (define @t9 () (tptp.holding @t3)) % 28.53/28.79 (define @t10 () (tptp.on @t3 @t2)) % 28.53/28.79 (define @t11 () (not (tptp.holds @t10 @t1))) % 28.53/28.79 (define @t12 () (tptp.clear @t2)) % 28.53/28.79 (define @t13 () (@var "Z" $$unsorted)) % 28.53/28.79 (define @t14 () (not (tptp.differ @t3 @t13))) % 28.53/28.79 (define @t15 () (tptp.do (tptp.pickup @t13) @t1)) % 28.53/28.79 (define @t16 () (not (tptp.holds @t12 @t1))) % 28.53/28.79 (define @t17 () (not (tptp.holds @t9 @t1))) % 28.53/28.79 (define @t18 () (tptp.do (tptp.putdown @t3 @t2) @t1)) % 28.53/28.79 (define @t19 () (@var "W" $$unsorted)) % 28.53/28.79 (define @t20 () (forall (@list @t3 @t2 @t13 @t19 @t1) (or (tptp.holds @t10 (tptp.do (tptp.putdown @t13 @t19) @t1)) @t11))) % 28.53/28.79 (define @t21 () (tptp.clear @t13)) % 28.53/28.79 (define @t22 () (tptp.differ tptp.a tptp.c)) % 28.53/28.79 (define @t23 () (tptp.differ tptp.a tptp.table)) % 28.53/28.79 (define @t24 () (tptp.on tptp.c tptp.d)) % 28.53/28.79 (define @t25 () (tptp.holds @t24 tptp.s0)) % 28.53/28.79 (define @t26 () (tptp.holds (tptp.clear tptp.a) tptp.s0)) % 28.53/28.79 (define @t27 () (tptp.clear tptp.c)) % 28.53/28.79 (define @t28 () (tptp.holds @t27 tptp.s0)) % 28.53/28.79 (define @t29 () (tptp.holds tptp.empty tptp.s0)) % 28.53/28.79 (define @t30 () (@list @t1)) % 28.53/28.79 (define @t31 () (tptp.on tptp.a tptp.c)) % 28.53/28.79 (define @t32 () (tptp.and @t31 @t24)) % 28.53/28.79 (define @t33 () (not @t22)) % 28.53/28.79 (define @t34 () (tptp.differ tptp.c tptp.a)) % 28.53/28.79 (define @t35 () (or @t34 @t33)) % 28.53/28.79 (define @t36 () (not @t34)) % 28.53/28.79 (define @t37 () (not @t25)) % 28.53/28.79 (define @t38 () (tptp.do (tptp.pickup tptp.a) tptp.s0)) % 28.53/28.79 (define @t39 () (tptp.holds @t24 @t38)) % 28.53/28.79 (define @t40 () (or @t39 @t37 @t36)) % 28.53/28.79 (define @t41 () (@list false false false)) % 28.53/28.79 (define @t42 () (tptp.do (tptp.putdown tptp.a tptp.c) @t38)) % 28.53/28.79 (define @t43 () (not @t28)) % 28.53/28.79 (define @t44 () (tptp.holds @t27 @t38)) % 28.53/28.79 (define @t45 () (or @t44 @t43 @t36)) % 28.53/28.79 (define @t46 () (not @t23)) % 28.53/28.79 (define @t47 () (not @t26)) % 28.53/28.79 (define @t48 () (not @t29)) % 28.53/28.79 (define @t49 () (tptp.holds (tptp.holding tptp.a) @t38)) % 28.53/28.79 (define @t50 () (or @t49 @t48 @t47 @t46)) % 28.53/28.79 (define @t51 () (not @t44)) % 28.53/28.79 (define @t52 () (not @t49)) % 28.53/28.79 (define @t53 () (tptp.holds @t31 @t42)) % 28.53/28.79 (define @t54 () (or @t53 @t52 @t51)) % 28.53/28.79 (define @t55 () (tptp.holds @t24 @t42)) % 28.53/28.79 (define @t56 () (not @t55)) % 28.53/28.79 (define @t57 () (not @t53)) % 28.53/28.79 (define @t58 () (tptp.holds @t32 @t42)) % 28.53/28.79 (define @t59 () (or @t58 @t57 @t56)) % 28.53/28.79 (define @t60 () (not @t39)) % 28.53/28.79 (define @t61 () (or @t55 @t60)) % 28.53/28.79 (define @t62 () (not @t61)) % 28.53/28.79 (define @t63 () (@list true false)) % 28.53/28.79 (assume @p1 (forall @t4 (or (tptp.holds (tptp.and @t3 @t2) @t1) (not (tptp.holds @t3 @t1)) (not (tptp.holds @t2 @t1))))) % 28.53/28.79 (assume @p2 (forall (@list @t3 @t1) (or (tptp.holds @t9 @t8) @t7 @t6 (not (tptp.differ @t3 tptp.table))))) % 28.53/28.79 (assume @p3 (forall (@list @t2 @t3 @t1) (or (tptp.holds @t12 @t8) @t11 @t6 @t7))) % 28.53/28.79 (assume @p4 (forall (@list @t3 @t2 @t13 @t1) (or (tptp.holds @t10 @t15) @t11 @t14))) % 28.53/28.79 (assume @p5 (forall (@list @t3 @t13 @t1) (or (tptp.holds @t5 @t15) @t6 @t14))) % 28.53/28.79 (assume @p6 (forall @t4 (or (tptp.holds tptp.empty @t18) @t17 @t16))) % 28.53/28.79 (assume @p7 (forall @t4 (or (tptp.holds @t10 @t18) @t17 @t16))) % 28.53/28.79 (assume @p8 (forall @t4 (or (tptp.holds @t5 @t18) @t17 @t16))) % 28.53/28.79 (assume @p9 @t20) % 28.53/28.79 (assume @p10 (forall (@list @t13 @t3 @t2 @t1) (or (tptp.holds @t21 @t18) (not (tptp.holds @t21 @t1)) (not (tptp.differ @t13 @t2))))) % 28.53/28.79 (assume @p11 (forall (@list @t3 @t2) (or (tptp.differ @t3 @t2) (not (tptp.differ @t2 @t3))))) % 28.53/28.79 (assume @p12 (tptp.differ tptp.a tptp.b)) % 28.53/28.79 (assume @p13 @t22) % 28.53/28.79 (assume @p14 (tptp.differ tptp.a tptp.d)) % 28.53/28.79 (assume @p15 @t23) % 28.53/28.79 (assume @p16 (tptp.differ tptp.b tptp.c)) % 28.53/28.79 (assume @p17 (tptp.differ tptp.b tptp.d)) % 28.53/28.79 (assume @p18 (tptp.differ tptp.b tptp.table)) % 28.53/28.79 (assume @p19 (tptp.differ tptp.c tptp.d)) % 28.53/28.79 (assume @p20 (tptp.differ tptp.c tptp.table)) % 28.53/28.79 (assume @p21 (tptp.differ tptp.d tptp.table)) % 28.53/28.79 (assume @p22 (tptp.holds (tptp.on tptp.a tptp.table) tptp.s0)) % 28.53/28.79 (assume @p23 (tptp.holds (tptp.on tptp.b tptp.table) tptp.s0)) % 28.53/28.79 (assume @p24 @t25) % 28.53/28.79 (assume @p25 (tptp.holds (tptp.on tptp.d tptp.table) tptp.s0)) % 28.53/28.79 (assume @p26 @t26) % 28.53/28.79 (assume @p27 (tptp.holds (tptp.clear tptp.b) tptp.s0)) % 28.53/28.79 (assume @p28 @t28) % 28.53/28.79 (assume @p29 @t29) % 28.53/28.79 (assume @p30 (forall @t30 (tptp.holds (tptp.clear tptp.table) @t1))) % 28.53/28.79 (assume @p31 (forall @t30 (not (tptp.holds @t32 @t1)))) % 28.53/28.79 (step @p32 :rule instantiate :premises (@p4) :args ((@list tptp.c tptp.d tptp.a tptp.s0))) % 28.53/28.79 (step @p33 :rule instantiate :premises (@p11) :args ((@list tptp.c tptp.a))) % 28.53/28.79 (step @p34 :rule cnf_or_pos :args (@t35)) % 28.53/28.79 (step @p35 :rule reordering :premises (@p34) :args ((or @t33 @t34 (not @t35)))) % 28.53/28.79 (step @p36 :rule chain_m_resolution :premises (@p35 @p13 @p33) :args (@t34 (@list false false) (@list @t22 @t35))) % 28.53/28.79 (step @p37 :rule cnf_or_pos :args (@t40)) % 28.53/28.79 (step @p38 :rule reordering :premises (@p37) :args ((or @t37 @t36 @t39 (not @t40)))) % 28.53/28.79 (step @p39 :rule chain_m_resolution :premises (@p38 @p24 @p36 @p32) :args (@t39 @t41 (@list @t25 @t34 @t40))) % 28.53/28.79 (step @p40 :rule instantiate :premises (@p1) :args ((@list @t31 @t24 @t42))) % 28.53/28.79 (step @p41 :rule instantiate :premises (@p31) :args ((@list @t42))) % 28.53/28.79 (step @p42 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.c @t38))) % 28.53/28.79 (step @p43 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.a tptp.s0))) % 28.53/28.79 (step @p44 :rule cnf_or_pos :args (@t45)) % 28.53/28.79 (step @p45 :rule reordering :premises (@p44) :args ((or @t43 @t44 @t36 (not @t45)))) % 28.53/28.79 (step @p46 :rule chain_m_resolution :premises (@p45 @p28 @p36 @p43) :args (@t44 @t41 (@list @t28 @t34 @t45))) % 28.53/28.79 (step @p47 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.s0))) % 28.53/28.79 (step @p48 :rule cnf_or_pos :args (@t50)) % 28.53/28.79 (step @p49 :rule reordering :premises (@p48) :args ((or @t46 @t47 @t48 @t49 (not @t50)))) % 28.53/28.79 (step @p50 :rule chain_m_resolution :premises (@p49 @p15 @p26 @p29 @p47) :args (@t49 (@list false false false false) (@list @t23 @t26 @t29 @t50))) % 28.53/28.79 (step @p51 :rule cnf_or_pos :args (@t54)) % 28.53/28.79 (step @p52 :rule reordering :premises (@p51) :args ((or @t52 @t51 @t53 (not @t54)))) % 28.53/28.79 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p46 @p42) :args (@t53 @t41 (@list @t49 @t44 @t54))) % 28.53/28.79 (step @p54 :rule cnf_or_pos :args (@t59)) % 28.53/28.79 (step @p55 :rule reordering :premises (@p54) :args ((or @t57 @t58 @t56 (not @t59)))) % 28.53/28.79 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p41 @p40) :args (@t56 (@list false true false) (@list @t53 @t58 @t59))) % 28.53/28.79 (step @p57 :rule cnf_or_pos :args (@t61)) % 28.53/28.79 (step @p58 :rule reordering :premises (@p57) :args ((or @t55 @t60 @t62))) % 28.53/28.79 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p39) :args (@t62 @t63 (@list @t55 @t39))) % 28.53/28.79 (assume-push @p66 @t20) % 28.53/28.79 (step @p61 :rule instantiate :premises (@p9) :args ((@list tptp.c tptp.d tptp.a tptp.c @t38))) % 28.53/28.79 (step-pop @p67 :rule scope :premises (@p61)) % 28.53/28.79 (step @p62 :rule process_scope :premises (@p67) :args (@t61)) % 28.53/28.79 (step @p64 :rule implies_elim :premises (@p62)) % 28.53/28.79 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p9) :args (false @t63 (@list @t61 @t20))) % 28.53/28.79 ) % 28.53/28.80 % SZS output end Proof % 28.63/28.80 % cvc5 exiting %------------------------------------------------------------------------------