%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN626-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:09:31 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN626-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:34:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.60 % SZS status Unsatisfiable % 0.40/0.60 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.p17 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c22 $$unsorted) % 0.40/0.60 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c23 $$unsorted) % 0.40/0.60 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c24 $$unsorted) % 0.40/0.60 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.c21 $$unsorted) % 0.40/0.60 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c20 $$unsorted) % 0.40/0.60 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (define @t1 () (@var "X0" $$unsorted)) % 0.40/0.60 (define @t2 () (@var "X54" $$unsorted)) % 0.40/0.60 (define @t3 () (@var "X47" $$unsorted)) % 0.40/0.60 (define @t4 () (@var "X38" $$unsorted)) % 0.40/0.60 (define @t5 () (@var "X33" $$unsorted)) % 0.40/0.60 (define @t6 () (@var "X5" $$unsorted)) % 0.40/0.60 (define @t7 () (tptp.f4 tptp.c21)) % 0.40/0.60 (define @t8 () (tptp.f5 tptp.c20)) % 0.40/0.60 (define @t9 () (@var "X15" $$unsorted)) % 0.40/0.60 (define @t10 () (@var "X14" $$unsorted)) % 0.40/0.60 (define @t11 () (tptp.p15 @t10 @t9)) % 0.40/0.60 (define @t12 () (not @t11)) % 0.40/0.60 (define @t13 () (tptp.p16 @t10 @t9)) % 0.40/0.60 (define @t14 () (@list @t10 @t9)) % 0.40/0.60 (define @t15 () (tptp.f8 @t8 (tptp.f9 tptp.c23 tptp.c24))) % 0.40/0.60 (define @t16 () (tptp.p15 tptp.c22 @t15)) % 0.40/0.60 (define @t17 () (@var "X20" $$unsorted)) % 0.40/0.60 (define @t18 () (tptp.p7 (tptp.f12 (tptp.f13 @t17)) @t17)) % 0.40/0.60 (define @t19 () (tptp.p16 tptp.c22 @t17)) % 0.40/0.60 (define @t20 () (@list @t17)) % 0.40/0.60 (define @t21 () (@var "X4" $$unsorted)) % 0.40/0.60 (define @t22 () (@var "X3" $$unsorted)) % 0.40/0.60 (define @t23 () (@var "X58" $$unsorted)) % 0.40/0.60 (define @t24 () (@var "X57" $$unsorted)) % 0.40/0.60 (define @t25 () (@var "X46" $$unsorted)) % 0.40/0.60 (define @t26 () (@var "X45" $$unsorted)) % 0.40/0.60 (define @t27 () (@var "X37" $$unsorted)) % 0.40/0.60 (define @t28 () (@var "X36" $$unsorted)) % 0.40/0.60 (define @t29 () (@var "X2" $$unsorted)) % 0.40/0.60 (define @t30 () (@var "X1" $$unsorted)) % 0.40/0.60 (define @t31 () (@var "X56" $$unsorted)) % 0.40/0.60 (define @t32 () (@var "X55" $$unsorted)) % 0.40/0.60 (define @t33 () (@var "X49" $$unsorted)) % 0.40/0.60 (define @t34 () (@var "X48" $$unsorted)) % 0.40/0.60 (define @t35 () (@var "X40" $$unsorted)) % 0.40/0.60 (define @t36 () (@var "X39" $$unsorted)) % 0.40/0.60 (define @t37 () (@var "X35" $$unsorted)) % 0.40/0.60 (define @t38 () (@var "X34" $$unsorted)) % 0.40/0.60 (define @t39 () (tptp.p19 @t10 @t9)) % 0.40/0.60 (define @t40 () (not @t13)) % 0.40/0.60 (define @t41 () (tptp.p18 @t10 @t9)) % 0.40/0.60 (define @t42 () (tptp.p17 @t10 @t9)) % 0.40/0.60 (define @t43 () (tptp.f13 @t15)) % 0.40/0.60 (define @t44 () (tptp.f12 @t43)) % 0.40/0.60 (define @t45 () (tptp.p15 tptp.c22 @t44)) % 0.40/0.60 (define @t46 () (@var "X9" $$unsorted)) % 0.40/0.60 (define @t47 () (@var "X8" $$unsorted)) % 0.40/0.60 (define @t48 () (@var "X7" $$unsorted)) % 0.40/0.60 (define @t49 () (@var "X6" $$unsorted)) % 0.40/0.60 (define @t50 () (@var "X32" $$unsorted)) % 0.40/0.60 (define @t51 () (@var "X31" $$unsorted)) % 0.40/0.60 (define @t52 () (@var "X30" $$unsorted)) % 0.40/0.60 (define @t53 () (@var "X29" $$unsorted)) % 0.40/0.60 (define @t54 () (@var "X28" $$unsorted)) % 0.40/0.60 (define @t55 () (@var "X27" $$unsorted)) % 0.40/0.60 (define @t56 () (@var "X26" $$unsorted)) % 0.40/0.60 (define @t57 () (@var "X25" $$unsorted)) % 0.40/0.60 (define @t58 () (@var "X24" $$unsorted)) % 0.40/0.60 (define @t59 () (@var "X23" $$unsorted)) % 0.40/0.60 (define @t60 () (@var "X22" $$unsorted)) % 0.40/0.60 (define @t61 () (@var "X21" $$unsorted)) % 0.40/0.60 (define @t62 () (@var "X19" $$unsorted)) % 0.40/0.60 (define @t63 () (@var "X18" $$unsorted)) % 0.40/0.60 (define @t64 () (@var "X17" $$unsorted)) % 0.40/0.60 (define @t65 () (@var "X16" $$unsorted)) % 0.40/0.60 (define @t66 () (@var "X13" $$unsorted)) % 0.40/0.60 (define @t67 () (@var "X12" $$unsorted)) % 0.40/0.60 (define @t68 () (@var "X11" $$unsorted)) % 0.40/0.60 (define @t69 () (@var "X10" $$unsorted)) % 0.40/0.60 (define @t70 () (@var "X62" $$unsorted)) % 0.40/0.60 (define @t71 () (@var "X60" $$unsorted)) % 0.40/0.60 (define @t72 () (@var "X61" $$unsorted)) % 0.40/0.60 (define @t73 () (@var "X59" $$unsorted)) % 0.40/0.60 (define @t74 () (@var "X44" $$unsorted)) % 0.40/0.60 (define @t75 () (@var "X42" $$unsorted)) % 0.40/0.60 (define @t76 () (@var "X43" $$unsorted)) % 0.40/0.60 (define @t77 () (@var "X41" $$unsorted)) % 0.40/0.60 (define @t78 () (@var "X52" $$unsorted)) % 0.40/0.60 (define @t79 () (@var "X50" $$unsorted)) % 0.40/0.60 (define @t80 () (@var "X53" $$unsorted)) % 0.40/0.60 (define @t81 () (@var "X51" $$unsorted)) % 0.40/0.60 (define @t82 () (not @t16)) % 0.40/0.60 (define @t83 () (tptp.p16 tptp.c22 @t15)) % 0.40/0.60 (define @t84 () (or @t83 @t82)) % 0.40/0.60 (define @t85 () (@list false false)) % 0.40/0.60 (define @t86 () (not @t83)) % 0.40/0.60 (define @t87 () (tptp.p7 @t44 @t15)) % 0.40/0.60 (define @t88 () (or @t87 @t86)) % 0.40/0.60 (define @t89 () (tptp.f13 @t44)) % 0.40/0.60 (define @t90 () (tptp.f12 @t89)) % 0.40/0.60 (define @t91 () (tptp.p11 @t89 @t43)) % 0.40/0.60 (define @t92 () (not @t91)) % 0.40/0.60 (define @t93 () (tptp.p7 @t90 @t44)) % 0.40/0.60 (define @t94 () (or @t93 @t92)) % 0.40/0.60 (define @t95 () (not @t93)) % 0.40/0.60 (define @t96 () (tptp.p7 @t44 @t44)) % 0.40/0.60 (define @t97 () (or @t96 @t95 @t95)) % 0.40/0.60 (define @t98 () (tptp.p7 @t15 @t44)) % 0.40/0.60 (define @t99 () (not @t98)) % 0.40/0.60 (define @t100 () (tptp.p6 tptp.c22 tptp.c22)) % 0.40/0.60 (define @t101 () (not @t100)) % 0.40/0.60 (define @t102 () (or @t45 @t101 @t99 @t82)) % 0.40/0.60 (define @t103 () (@list true false false false)) % 0.40/0.60 (define @t104 () (not @t96)) % 0.40/0.60 (define @t105 () (not @t87)) % 0.40/0.60 (define @t106 () (or @t98 @t105 @t104)) % 0.40/0.60 (assume @p1 (forall (@list @t1) (tptp.p11 @t1 @t1))) % 0.40/0.60 (assume @p2 (forall (@list @t2) (tptp.p7 @t2 @t2))) % 0.40/0.60 (assume @p3 (forall (@list @t3) (tptp.p6 @t3 @t3))) % 0.40/0.60 (assume @p4 (forall (@list @t4) (tptp.p3 @t4 @t4))) % 0.40/0.60 (assume @p5 (forall (@list @t5) (tptp.p2 @t5 @t5))) % 0.40/0.60 (assume @p6 (forall (@list @t6) (tptp.p11 (tptp.f13 (tptp.f12 @t6)) @t6))) % 0.40/0.60 (assume @p7 (tptp.p14 (tptp.f4 @t8) @t7)) % 0.40/0.60 (assume @p8 (forall @t14 (or @t13 @t12))) % 0.40/0.60 (assume @p9 @t16) % 0.40/0.60 (assume @p10 (forall @t20 (or @t19 (not @t18)))) % 0.40/0.60 (assume @p11 (forall (@list @t22 @t21) (or (tptp.p11 (tptp.f13 @t22) (tptp.f13 @t21)) (not (tptp.p7 @t22 @t21))))) % 0.40/0.60 (assume @p12 (forall (@list @t24 @t23) (or (tptp.p7 (tptp.f12 @t24) (tptp.f12 @t23)) (not (tptp.p11 @t24 @t23))))) % 0.40/0.60 (assume @p13 (forall (@list @t26 @t25) (or (tptp.p3 (tptp.f4 @t26) (tptp.f4 @t25)) (not (tptp.p2 @t26 @t25))))) % 0.40/0.60 (assume @p14 (forall (@list @t28 @t27) (or (tptp.p2 (tptp.f5 @t28) (tptp.f5 @t27)) (not (tptp.p2 @t28 @t27))))) % 0.40/0.60 (assume @p15 (forall @t20 (or @t18 (not @t19)))) % 0.40/0.60 (assume @p16 (forall (@list @t30 @t29 @t1) (or (tptp.p11 @t30 @t29) (not (tptp.p11 @t1 @t30)) (not (tptp.p11 @t1 @t29))))) % 0.40/0.60 (assume @p17 (forall (@list @t32 @t31 @t2) (or (tptp.p7 @t32 @t31) (not (tptp.p7 @t2 @t32)) (not (tptp.p7 @t2 @t31))))) % 0.40/0.60 (assume @p18 (forall (@list @t34 @t33 @t3) (or (tptp.p6 @t34 @t33) (not (tptp.p6 @t3 @t34)) (not (tptp.p6 @t3 @t33))))) % 0.40/0.60 (assume @p19 (forall (@list @t36 @t35 @t4) (or (tptp.p3 @t36 @t35) (not (tptp.p3 @t4 @t36)) (not (tptp.p3 @t4 @t35))))) % 0.40/0.60 (assume @p20 (forall (@list @t38 @t37 @t5) (or (tptp.p2 @t38 @t37) (not (tptp.p2 @t5 @t38)) (not (tptp.p2 @t5 @t37))))) % 0.40/0.60 (assume @p21 (forall @t14 (or @t11 @t40 (not @t39)))) % 0.40/0.60 (assume @p22 (forall @t14 (or @t11 @t40 (not @t41)))) % 0.40/0.60 (assume @p23 (forall @t14 (or @t11 @t40 (not @t42)))) % 0.40/0.60 (assume @p24 (not @t45)) % 0.40/0.60 (assume @p25 (forall @t14 (or @t42 @t41 @t39 @t12))) % 0.40/0.60 (assume @p26 (forall (@list @t49 @t48 @t47 @t46) (or (tptp.p14 @t49 @t48) (not (tptp.p3 @t47 @t49)) (not (tptp.p3 @t46 @t48)) (not (tptp.p14 @t47 @t46))))) % 0.40/0.60 (assume @p27 (forall (@list @t53 @t52 @t51 @t50) (or (tptp.p19 @t53 @t52) (not (tptp.p6 @t51 @t53)) (not (tptp.p7 @t50 @t52)) (not (tptp.p19 @t51 @t50))))) % 0.40/0.60 (assume @p28 (forall (@list @t57 @t56 @t55 @t54) (or (tptp.p18 @t57 @t56) (not (tptp.p6 @t55 @t57)) (not (tptp.p7 @t54 @t56)) (not (tptp.p18 @t55 @t54))))) % 0.40/0.60 (assume @p29 (forall (@list @t61 @t60 @t59 @t58) (or (tptp.p17 @t61 @t60) (not (tptp.p6 @t59 @t61)) (not (tptp.p7 @t58 @t60)) (not (tptp.p17 @t59 @t58))))) % 0.40/0.60 (assume @p30 (forall (@list @t65 @t64 @t63 @t62) (or (tptp.p16 @t65 @t64) (not (tptp.p6 @t63 @t65)) (not (tptp.p7 @t62 @t64)) (not (tptp.p16 @t63 @t62))))) % 0.40/0.60 (assume @p31 (forall (@list @t69 @t68 @t67 @t66) (or (tptp.p15 @t69 @t68) (not (tptp.p6 @t67 @t69)) (not (tptp.p7 @t66 @t68)) (not (tptp.p15 @t67 @t66))))) % 0.40/0.60 (assume @p32 (tptp.p3 (tptp.f10 tptp.c22 @t44) @t7)) % 0.40/0.60 (assume @p33 (forall (@list @t73 @t71 @t72 @t70) (or (tptp.p7 (tptp.f8 @t73 @t71) (tptp.f8 @t72 @t70)) (not (tptp.p2 @t73 @t72)) (not (tptp.p6 @t71 @t70))))) % 0.40/0.60 (assume @p34 (forall (@list @t77 @t75 @t76 @t74) (or (tptp.p3 (tptp.f10 @t77 @t75) (tptp.f10 @t76 @t74)) (not (tptp.p6 @t77 @t76)) (not (tptp.p7 @t75 @t74))))) % 0.40/0.60 (assume @p35 (forall (@list @t79 @t81 @t78 @t80) (or (tptp.p6 (tptp.f9 @t79 @t81) (tptp.f9 @t78 @t80)) (not (tptp.p2 @t81 @t80)) (not (tptp.p2 @t79 @t78))))) % 0.40/0.60 (step @p36 :rule instantiate :premises (@p15) :args ((@list @t15))) % 0.40/0.60 (step @p37 :rule instantiate :premises (@p8) :args ((@list tptp.c22 @t15))) % 0.40/0.60 (step @p38 :rule cnf_or_pos :args (@t84)) % 0.40/0.60 (step @p39 :rule reordering :premises (@p38) :args ((or @t82 @t83 (not @t84)))) % 0.40/0.60 (step @p40 :rule chain_m_resolution :premises (@p39 @p9 @p37) :args (@t83 @t85 (@list @t16 @t84))) % 0.40/0.60 (step @p41 :rule cnf_or_pos :args (@t88)) % 0.40/0.60 (step @p42 :rule reordering :premises (@p41) :args ((or @t87 @t86 (not @t88)))) % 0.40/0.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p36) :args (@t87 @t85 (@list @t83 @t88))) % 0.40/0.60 (step @p44 :rule instantiate :premises (@p17) :args ((@list @t44 @t44 @t90))) % 0.40/0.60 (step @p45 :rule instantiate :premises (@p12) :args ((@list @t89 @t43))) % 0.40/0.60 (step @p46 :rule instantiate :premises (@p6) :args ((@list @t43))) % 0.40/0.60 (step @p47 :rule cnf_or_pos :args (@t94)) % 0.40/0.60 (step @p48 :rule reordering :premises (@p47) :args ((or @t92 @t93 (not @t94)))) % 0.40/0.60 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45) :args (@t93 @t85 (@list @t91 @t94))) % 0.40/0.60 (step @p50 :rule cnf_or_pos :args (@t97)) % 0.40/0.60 (step @p51 :rule factoring :premises (@p50)) % 0.40/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t95 @t96 (not @t97)))) % 0.40/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p49 @p44) :args (@t96 @t85 (@list @t93 @t97))) % 0.40/0.60 (step @p54 :rule instantiate :premises (@p17) :args ((@list @t15 @t44 @t44))) % 0.40/0.60 (step @p55 :rule instantiate :premises (@p31) :args ((@list tptp.c22 @t44 tptp.c22 @t15))) % 0.40/0.60 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.c22))) % 0.40/0.60 (step @p57 :rule cnf_or_pos :args (@t102)) % 0.40/0.60 (step @p58 :rule reordering :premises (@p57) :args ((or @t45 @t82 @t101 @t99 (not @t102)))) % 0.40/0.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p24 @p9 @p56 @p55) :args (@t99 @t103 (@list @t45 @t16 @t100 @t102))) % 0.40/0.60 (step @p60 :rule cnf_or_pos :args (@t106)) % 0.40/0.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t105 @t104 @t98 (not @t106)))) % 0.40/0.60 (step @p62 false :rule chain_m_resolution :premises (@p61 @p59 @p54 @p53 @p43) :args (false @t103 (@list @t98 @t106 @t96 @t87))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.61 % cvc5 exiting %------------------------------------------------------------------------------