%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO648-1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:13:17 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.62s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO648-1 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:33:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Unsatisfiable % 0.36/0.62 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const |tptp.'LE'| (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.iLEQ (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.z $$unsorted) % 0.44/0.63 (declare-const |tptp.'0'| $$unsorted) % 0.44/0.63 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.44/0.63 (define @t1 () (@var "B_2" $$unsorted)) % 0.44/0.63 (define @t2 () (tptp.suc @t1)) % 0.44/0.63 (define @t3 () (tptp.f @t2)) % 0.44/0.63 (define @t4 () (tptp.f @t1)) % 0.44/0.63 (define @t5 () (|tptp.'E'| @t4 @t3)) % 0.44/0.63 (define @t6 () (@var "A_1" $$unsorted)) % 0.44/0.63 (define @t7 () (tptp.suc @t6)) % 0.44/0.63 (define @t8 () (tptp.suc @t7)) % 0.44/0.63 (define @t9 () (tptp.f @t8)) % 0.44/0.63 (define @t10 () (tptp.f @t6)) % 0.44/0.63 (define @t11 () (|tptp.'E'| @t10 @t9)) % 0.44/0.63 (define @t12 () (tptp.f @t7)) % 0.44/0.63 (define @t13 () (|tptp.'E'| @t10 @t12)) % 0.44/0.63 (define @t14 () (not @t13)) % 0.44/0.63 (define @t15 () (not (|tptp.'E'| |tptp.'0'| @t4))) % 0.44/0.63 (define @t16 () (not (tptp.iLEQ @t7 @t2))) % 0.44/0.63 (define @t17 () (not (|tptp.'E'| |tptp.'0'| @t3))) % 0.44/0.63 (define @t18 () (not (|tptp.'E'| |tptp.'0'| @t10))) % 0.44/0.63 (define @t19 () (not (|tptp.'E'| |tptp.'0'| @t9))) % 0.44/0.63 (define @t20 () (not (|tptp.'E'| |tptp.'0'| @t12))) % 0.44/0.63 (define @t21 () (@list @t6 @t1)) % 0.44/0.63 (define @t22 () (@var "B_1" $$unsorted)) % 0.44/0.63 (define @t23 () (tptp.f @t22)) % 0.44/0.63 (define @t24 () (|tptp.'LE'| @t23 |tptp.'0'|)) % 0.44/0.63 (define @t25 () (tptp.suc @t22)) % 0.44/0.63 (define @t26 () (tptp.suc @t25)) % 0.44/0.63 (define @t27 () (tptp.suc @t26)) % 0.44/0.63 (define @t28 () (tptp.f @t27)) % 0.44/0.63 (define @t29 () (tptp.s |tptp.'0'|)) % 0.44/0.63 (define @t30 () (@list @t22)) % 0.44/0.63 (define @t31 () (tptp.iLEQ @t7 @t7)) % 0.44/0.63 (define @t32 () (@list @t6)) % 0.44/0.63 (define @t33 () (tptp.suc @t2)) % 0.44/0.63 (define @t34 () (tptp.f @t33)) % 0.44/0.63 (define @t35 () (|tptp.'E'| @t4 @t34)) % 0.44/0.63 (define @t36 () (not (|tptp.'E'| |tptp.'0'| @t34))) % 0.44/0.63 (define @t37 () (not @t5)) % 0.44/0.63 (define @t38 () (tptp.suc @t33)) % 0.44/0.63 (define @t39 () (tptp.f @t38)) % 0.44/0.63 (define @t40 () (|tptp.'E'| @t4 @t39)) % 0.44/0.63 (define @t41 () (tptp.suc @t8)) % 0.44/0.63 (define @t42 () (tptp.f @t41)) % 0.44/0.63 (define @t43 () (|tptp.'E'| @t10 @t42)) % 0.44/0.63 (define @t44 () (not @t11)) % 0.44/0.63 (define @t45 () (not @t35)) % 0.44/0.63 (define @t46 () (not (|tptp.'E'| |tptp.'0'| @t39))) % 0.44/0.63 (define @t47 () (not (|tptp.'E'| |tptp.'0'| @t42))) % 0.44/0.63 (define @t48 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t41))))) % 0.44/0.63 (define @t49 () (not @t43)) % 0.44/0.63 (define @t50 () (@var "A" $$unsorted)) % 0.44/0.63 (define @t51 () (tptp.f @t25)) % 0.44/0.63 (define @t52 () (@list @t1 @t6)) % 0.44/0.63 (define @t53 () (tptp.f (tptp.suc @t27))) % 0.44/0.63 (define @t54 () (not @t40)) % 0.44/0.63 (define @t55 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t38))))) % 0.44/0.63 (define @t56 () (tptp.f @t26)) % 0.44/0.63 (define @t57 () (tptp.f tptp.z)) % 0.44/0.63 (define @t58 () (|tptp.'LE'| @t57 |tptp.'0'|)) % 0.44/0.63 (define @t59 () (@list tptp.z)) % 0.44/0.63 (define @t60 () (|tptp.'E'| |tptp.'0'| @t57)) % 0.44/0.63 (define @t61 () (|tptp.'LE'| @t57 @t29)) % 0.44/0.63 (define @t62 () (not @t61)) % 0.44/0.63 (define @t63 () (or @t62 @t60 @t58)) % 0.44/0.63 (define @t64 () (@list true false false)) % 0.44/0.63 (define @t65 () (tptp.suc tptp.z)) % 0.44/0.63 (define @t66 () (tptp.f @t65)) % 0.44/0.63 (define @t67 () (|tptp.'E'| |tptp.'0'| @t66)) % 0.44/0.63 (define @t68 () (|tptp.'LE'| @t66 @t29)) % 0.44/0.63 (define @t69 () (not @t68)) % 0.44/0.63 (define @t70 () (or @t69 @t67 @t58)) % 0.44/0.63 (define @t71 () (tptp.suc @t65)) % 0.44/0.63 (define @t72 () (tptp.f @t71)) % 0.44/0.63 (define @t73 () (|tptp.'E'| |tptp.'0'| @t72)) % 0.44/0.63 (define @t74 () (|tptp.'LE'| @t72 @t29)) % 0.44/0.63 (define @t75 () (not @t74)) % 0.44/0.63 (define @t76 () (or @t75 @t73 @t58)) % 0.44/0.63 (define @t77 () (tptp.suc @t71)) % 0.44/0.63 (define @t78 () (tptp.f @t77)) % 0.44/0.63 (define @t79 () (|tptp.'E'| |tptp.'0'| @t78)) % 0.44/0.63 (define @t80 () (|tptp.'LE'| @t78 @t29)) % 0.44/0.63 (define @t81 () (not @t80)) % 0.44/0.63 (define @t82 () (or @t81 @t79 @t58)) % 0.44/0.63 (define @t83 () (tptp.suc @t77)) % 0.44/0.63 (define @t84 () (tptp.f @t83)) % 0.44/0.63 (define @t85 () (|tptp.'E'| |tptp.'0'| @t84)) % 0.44/0.63 (define @t86 () (|tptp.'LE'| @t84 @t29)) % 0.44/0.63 (define @t87 () (not @t86)) % 0.44/0.63 (define @t88 () (or @t87 @t85 @t58)) % 0.44/0.63 (define @t89 () (tptp.iLEQ @t65 @t65)) % 0.44/0.63 (define @t90 () (|tptp.'E'| @t57 @t66)) % 0.44/0.63 (define @t91 () (not @t67)) % 0.44/0.63 (define @t92 () (not @t60)) % 0.44/0.63 (define @t93 () (or @t92 @t91 @t90 @t89)) % 0.44/0.63 (define @t94 () (@list tptp.z tptp.z)) % 0.44/0.63 (define @t95 () (not @t89)) % 0.44/0.63 (define @t96 () (or @t91 @t92 @t91 @t95 @t92 @t90 @t90)) % 0.44/0.63 (define @t97 () (|tptp.'E'| @t57 @t72)) % 0.44/0.63 (define @t98 () (not @t73)) % 0.44/0.63 (define @t99 () (not @t90)) % 0.44/0.63 (define @t100 () (or @t91 @t98 @t92 @t91 @t99 @t95 @t92 @t99 @t98 @t97 @t97)) % 0.44/0.63 (define @t101 () (|tptp.'E'| @t57 @t78)) % 0.44/0.63 (define @t102 () (not @t97)) % 0.44/0.63 (define @t103 () (not @t79)) % 0.44/0.63 (define @t104 () (or @t103 @t103 @t102 @t91 @t98 @t92 @t91 @t99 @t95 @t92 @t102 @t99 @t98 @t101 @t101)) % 0.44/0.63 (define @t105 () (not @t85)) % 0.44/0.63 (define @t106 () (not @t101)) % 0.44/0.63 (define @t107 () (or @t103 @t103 @t102 @t91 @t106 @t98 @t92 @t91 @t105 @t99 @t95 @t92 @t102 @t106 @t99 @t98 @t105)) % 0.44/0.63 (define @t108 () (or @t98 @t91 @t99 @t92 @t97 @t89)) % 0.44/0.63 (define @t109 () (or @t103 @t91 @t98 @t92 @t102 @t99 @t101 @t89)) % 0.44/0.63 (define @t110 () (or @t103 @t91 @t106 @t98 @t92 @t102 @t99 @t105 @t89)) % 0.44/0.63 (assume @p1 (forall @t21 (or @t20 @t19 @t18 @t17 @t16 @t15 @t14 @t11 @t5))) % 0.44/0.63 (assume @p2 (forall @t30 (or (not (|tptp.'LE'| @t28 @t29)) (|tptp.'E'| |tptp.'0'| @t28) @t24))) % 0.44/0.63 (assume @p3 (forall @t32 (or @t18 @t20 @t13 @t31))) % 0.44/0.63 (assume @p4 (forall @t21 (or @t20 @t19 @t18 @t17 @t37 @t16 @t15 @t14 @t36 @t11 @t35))) % 0.44/0.63 (assume @p5 (forall @t21 (or @t47 @t46 @t45 @t20 @t19 @t18 @t17 @t37 @t16 @t15 @t44 @t14 @t36 @t43 @t40))) % 0.44/0.63 (assume @p6 (forall @t32 (or @t47 @t20 @t19 @t18 @t44 @t14 @t43 @t31))) % 0.44/0.63 (assume @p7 (forall @t21 (or @t47 @t46 @t45 @t20 @t49 @t19 @t18 @t17 @t37 @t16 @t15 @t44 @t14 @t36 @t48 @t40))) % 0.44/0.63 (assume @p8 (forall (@list @t50) (|tptp.'LE'| (tptp.f @t50) @t29))) % 0.44/0.63 (assume @p9 (forall @t32 (or @t47 @t20 @t49 @t19 @t18 @t44 @t14 @t48 @t31))) % 0.44/0.63 (assume @p10 (forall @t30 (or (not (|tptp.'LE'| @t51 @t29)) (|tptp.'E'| |tptp.'0'| @t51) @t24))) % 0.44/0.63 (assume @p11 (forall @t52 (or @t46 @t45 @t20 @t18 @t17 @t37 @t16 @t15 @t36 @t13 @t40))) % 0.44/0.63 (assume @p12 (forall @t21 (or @t47 @t20 @t49 @t19 @t18 @t17 @t16 @t15 @t44 @t14 @t48 @t5))) % 0.44/0.63 (assume @p13 (forall @t21 (or @t47 @t20 @t19 @t18 @t17 @t16 @t15 @t44 @t14 @t43 @t5))) % 0.44/0.63 (assume @p14 (forall @t21 (or @t20 @t18 @t17 @t16 @t15 @t13 @t5))) % 0.44/0.63 (assume @p15 (forall @t30 (or (not (|tptp.'LE'| @t53 @t29)) (|tptp.'E'| |tptp.'0'| @t53) @t24))) % 0.44/0.63 (assume @p16 (forall @t52 (or @t46 @t45 @t20 @t18 @t17 @t55 @t37 @t16 @t15 @t54 @t36 @t13))) % 0.44/0.63 (assume @p17 (forall @t52 (or @t46 @t45 @t20 @t19 @t18 @t17 @t55 @t37 @t16 @t15 @t54 @t14 @t36 @t11))) % 0.44/0.63 (assume @p18 (forall @t32 (or @t19 @t20 @t14 @t18 @t11 @t31))) % 0.44/0.63 (assume @p19 (forall @t30 (or (not (|tptp.'LE'| @t56 @t29)) (|tptp.'E'| |tptp.'0'| @t56) @t24))) % 0.44/0.63 (assume @p20 (forall @t52 (or @t46 @t45 @t20 @t19 @t18 @t17 @t37 @t16 @t15 @t14 @t36 @t11 @t40))) % 0.44/0.63 (assume @p21 (not @t58)) % 0.44/0.63 (assume @p22 (forall @t21 (or @t47 @t20 @t49 @t19 @t18 @t17 @t37 @t16 @t15 @t44 @t14 @t36 @t48 @t35))) % 0.44/0.63 (assume @p23 (forall @t21 (or @t20 @t18 @t17 @t37 @t16 @t15 @t36 @t13 @t35))) % 0.44/0.63 (assume @p24 (forall @t21 (or @t47 @t46 @t45 @t20 @t49 @t19 @t18 @t17 @t55 @t37 @t16 @t15 @t44 @t54 @t14 @t36 @t48))) % 0.44/0.63 (assume @p25 (forall @t21 (or @t47 @t20 @t19 @t18 @t17 @t37 @t16 @t15 @t44 @t14 @t36 @t43 @t35))) % 0.44/0.63 (assume @p26 (forall @t30 (or (not (|tptp.'LE'| @t23 @t29)) (|tptp.'E'| |tptp.'0'| @t23) @t24))) % 0.44/0.63 (assume @p27 (forall @t21 (or @t47 @t46 @t45 @t20 @t19 @t18 @t17 @t55 @t37 @t16 @t15 @t44 @t54 @t14 @t36 @t43))) % 0.44/0.63 (step @p28 :rule instantiate :premises (@p26) :args (@t59)) % 0.44/0.63 (step @p29 :rule instantiate :premises (@p8) :args (@t59)) % 0.44/0.63 (step @p30 :rule cnf_or_pos :args (@t63)) % 0.44/0.63 (step @p31 :rule reordering :premises (@p30) :args ((or @t58 @t62 @t60 (not @t63)))) % 0.44/0.63 (step @p32 :rule chain_m_resolution :premises (@p31 @p21 @p29 @p28) :args (@t60 @t64 (@list @t58 @t61 @t63))) % 0.44/0.63 (step @p33 :rule instantiate :premises (@p10) :args (@t59)) % 0.44/0.63 (step @p34 :rule instantiate :premises (@p8) :args ((@list @t65))) % 0.44/0.63 (step @p35 :rule cnf_or_pos :args (@t70)) % 0.44/0.63 (step @p36 :rule reordering :premises (@p35) :args ((or @t58 @t69 @t67 (not @t70)))) % 0.44/0.63 (step @p37 :rule chain_m_resolution :premises (@p36 @p21 @p34 @p33) :args (@t67 @t64 (@list @t58 @t68 @t70))) % 0.44/0.63 (step @p38 :rule instantiate :premises (@p19) :args (@t59)) % 0.44/0.63 (step @p39 :rule instantiate :premises (@p8) :args ((@list @t71))) % 0.44/0.63 (step @p40 :rule cnf_or_pos :args (@t76)) % 0.44/0.63 (step @p41 :rule reordering :premises (@p40) :args ((or @t58 @t75 @t73 (not @t76)))) % 0.44/0.63 (step @p42 :rule chain_m_resolution :premises (@p41 @p21 @p39 @p38) :args (@t73 @t64 (@list @t58 @t74 @t76))) % 0.44/0.63 (step @p43 :rule instantiate :premises (@p2) :args (@t59)) % 0.44/0.63 (step @p44 :rule instantiate :premises (@p8) :args ((@list @t77))) % 0.44/0.63 (step @p45 :rule cnf_or_pos :args (@t82)) % 0.44/0.63 (step @p46 :rule reordering :premises (@p45) :args ((or @t58 @t81 @t79 (not @t82)))) % 0.44/0.63 (step @p47 :rule chain_m_resolution :premises (@p46 @p21 @p44 @p43) :args (@t79 @t64 (@list @t58 @t80 @t82))) % 0.44/0.63 (step @p48 :rule instantiate :premises (@p15) :args (@t59)) % 0.44/0.63 (step @p49 :rule instantiate :premises (@p8) :args ((@list @t83))) % 0.44/0.63 (step @p50 :rule cnf_or_pos :args (@t88)) % 0.44/0.63 (step @p51 :rule reordering :premises (@p50) :args ((or @t58 @t87 @t85 (not @t88)))) % 0.44/0.63 (step @p52 :rule chain_m_resolution :premises (@p51 @p21 @p49 @p48) :args (@t85 @t64 (@list @t58 @t86 @t88))) % 0.44/0.63 (step @p53 :rule instantiate :premises (@p9) :args (@t59)) % 0.44/0.63 (step @p54 :rule instantiate :premises (@p3) :args (@t59)) % 0.44/0.63 (step @p55 :rule cnf_or_pos :args (@t93)) % 0.44/0.63 (step @p56 :rule reordering :premises (@p55) :args ((or @t91 @t92 @t90 @t89 (not @t93)))) % 0.44/0.63 (step @p57 :rule instantiate :premises (@p14) :args (@t94)) % 0.44/0.63 (step @p58 :rule cnf_or_pos :args (@t96)) % 0.44/0.63 (step @p59 :rule factoring :premises (@p58)) % 0.44/0.63 (step @p60 :rule reordering :premises (@p59) :args ((or @t91 @t92 @t90 @t95 (not @t96)))) % 0.44/0.63 (step @p61 :rule chain_m_resolution :premises (@p60 @p57 @p37 @p32 @p56 @p54 @p37 @p32) :args (@t90 (@list false false false false false false false) (@list @t96 @t67 @t60 @t89 @t93 @t67 @t60))) % 0.44/0.63 (step @p62 :rule instantiate :premises (@p4) :args (@t94)) % 0.44/0.63 (step @p63 :rule cnf_or_pos :args (@t100)) % 0.44/0.63 (step @p64 :rule factoring :premises (@p63)) % 0.44/0.63 (step @p65 :rule reordering :premises (@p64) :args ((or @t91 @t98 @t92 @t97 @t99 @t95 (not @t100)))) % 0.44/0.63 (step @p66 :rule instantiate :premises (@p5) :args (@t94)) % 0.44/0.63 (step @p67 :rule cnf_or_pos :args (@t104)) % 0.44/0.63 (step @p68 :rule factoring :premises (@p67)) % 0.44/0.63 (step @p69 :rule reordering :premises (@p68) :args ((or @t103 @t91 @t98 @t92 @t102 @t99 @t101 @t95 (not @t104)))) % 0.44/0.63 (step @p70 :rule instantiate :premises (@p24) :args (@t94)) % 0.44/0.63 (step @p71 :rule cnf_or_pos :args (@t107)) % 0.44/0.63 (step @p72 :rule factoring :premises (@p71)) % 0.44/0.63 (step @p73 :rule reordering :premises (@p72) :args ((or @t103 @t91 @t105 @t98 @t92 @t102 @t99 @t106 @t95 (not @t107)))) % 0.44/0.63 (step @p74 :rule chain_m_resolution :premises (@p73 @p70 @p61 @p52 @p47 @p42 @p37 @p32 @p69 @p66 @p61 @p47 @p42 @p37 @p32 @p65 @p62 @p61 @p42 @p37 @p32) :args (@t95 (@list false false false false false false false false false false false false false false false false false false false false) (@list @t107 @t90 @t85 @t79 @t73 @t67 @t60 @t101 @t104 @t90 @t79 @t73 @t67 @t60 @t97 @t100 @t90 @t73 @t67 @t60))) % 0.44/0.63 (step @p75 :rule instantiate :premises (@p18) :args (@t59)) % 0.44/0.63 (step @p76 :rule cnf_or_pos :args (@t108)) % 0.44/0.63 (step @p77 :rule reordering :premises (@p76) :args ((or @t91 @t98 @t92 @t89 @t97 @t99 (not @t108)))) % 0.44/0.63 (step @p78 :rule chain_m_resolution :premises (@p77 @p37 @p42 @p32 @p74 @p61 @p75) :args (@t97 (@list false false false true false false) (@list @t67 @t73 @t60 @t89 @t90 @t108))) % 0.44/0.63 (step @p79 :rule instantiate :premises (@p6) :args (@t59)) % 0.44/0.63 (step @p80 :rule cnf_or_pos :args (@t109)) % 0.44/0.63 (step @p81 :rule reordering :premises (@p80) :args ((or @t103 @t91 @t98 @t92 @t89 @t102 @t99 @t101 (not @t109)))) % 0.44/0.63 (step @p82 :rule chain_m_resolution :premises (@p81 @p47 @p37 @p42 @p32 @p74 @p78 @p61 @p79) :args (@t101 (@list false false false false true false false false) (@list @t79 @t67 @t73 @t60 @t89 @t97 @t90 @t109))) % 0.44/0.63 (step @p83 :rule cnf_or_pos :args (@t110)) % 0.44/0.63 (step @p84 :rule reordering :premises (@p83) :args ((or @t103 @t91 @t105 @t98 @t92 @t89 @t102 @t99 @t106 (not @t110)))) % 0.44/0.63 (step @p85 false :rule chain_m_resolution :premises (@p84 @p82 @p78 @p61 @p74 @p53 @p52 @p47 @p42 @p37 @p32) :args (false (@list false false false true false false false false false false) (@list @t101 @t97 @t90 @t89 @t110 @t85 @t79 @t73 @t67 @t60))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------