%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN565-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:09:24 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 : SYN565-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.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 23:31:01 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----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... % 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 $$unsorted 0) % 0.44/0.63 (declare-const tptp.c11 $$unsorted) % 0.44/0.63 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.c12 $$unsorted) % 0.44/0.63 (declare-const tptp.f3 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (define @t1 () (@var "X9" $$unsorted)) % 0.44/0.63 (define @t2 () (@var "X23" $$unsorted)) % 0.44/0.63 (define @t3 () (@var "X18" $$unsorted)) % 0.44/0.63 (define @t4 () (@var "X39" $$unsorted)) % 0.44/0.63 (define @t5 () (@var "X38" $$unsorted)) % 0.44/0.63 (define @t6 () (@var "X32" $$unsorted)) % 0.44/0.63 (define @t7 () (@var "X33" $$unsorted)) % 0.44/0.63 (define @t8 () (@var "X17" $$unsorted)) % 0.44/0.63 (define @t9 () (@var "X16" $$unsorted)) % 0.44/0.63 (define @t10 () (@var "X31" $$unsorted)) % 0.44/0.63 (define @t11 () (@var "X30" $$unsorted)) % 0.44/0.63 (define @t12 () (@var "X11" $$unsorted)) % 0.44/0.63 (define @t13 () (@var "X10" $$unsorted)) % 0.44/0.63 (define @t14 () (@var "X25" $$unsorted)) % 0.44/0.63 (define @t15 () (@var "X24" $$unsorted)) % 0.44/0.63 (define @t16 () (@var "X8" $$unsorted)) % 0.44/0.63 (define @t17 () (@var "X7" $$unsorted)) % 0.44/0.63 (define @t18 () (tptp.f8 tptp.c12 tptp.c11)) % 0.44/0.63 (define @t19 () (tptp.f5 @t18)) % 0.44/0.63 (define @t20 () (tptp.f5 tptp.c12)) % 0.44/0.63 (define @t21 () (tptp.f5 tptp.c11)) % 0.44/0.63 (define @t22 () (tptp.p10 (tptp.f9 @t21 @t20) @t19)) % 0.44/0.63 (define @t23 () (@var "X5" $$unsorted)) % 0.44/0.63 (define @t24 () (@var "X6" $$unsorted)) % 0.44/0.63 (define @t25 () (@var "X4" $$unsorted)) % 0.44/0.63 (define @t26 () (tptp.p10 (tptp.f9 @t25 @t24) @t23)) % 0.44/0.63 (define @t27 () (tptp.p10 @t25 (tptp.f3 @t23 @t24))) % 0.44/0.63 (define @t28 () (@var "X3" $$unsorted)) % 0.44/0.63 (define @t29 () (@var "X2" $$unsorted)) % 0.44/0.63 (define @t30 () (@var "X1" $$unsorted)) % 0.44/0.63 (define @t31 () (@var "X0" $$unsorted)) % 0.44/0.63 (define @t32 () (@var "X37" $$unsorted)) % 0.44/0.63 (define @t33 () (@var "X35" $$unsorted)) % 0.44/0.63 (define @t34 () (@var "X36" $$unsorted)) % 0.44/0.63 (define @t35 () (@var "X34" $$unsorted)) % 0.44/0.63 (define @t36 () (@var "X15" $$unsorted)) % 0.44/0.63 (define @t37 () (@var "X13" $$unsorted)) % 0.44/0.63 (define @t38 () (@var "X14" $$unsorted)) % 0.44/0.63 (define @t39 () (@var "X12" $$unsorted)) % 0.44/0.63 (define @t40 () (@var "X22" $$unsorted)) % 0.44/0.63 (define @t41 () (@var "X20" $$unsorted)) % 0.44/0.63 (define @t42 () (@var "X21" $$unsorted)) % 0.44/0.63 (define @t43 () (@var "X19" $$unsorted)) % 0.44/0.63 (define @t44 () (@var "X29" $$unsorted)) % 0.44/0.63 (define @t45 () (@var "X27" $$unsorted)) % 0.44/0.63 (define @t46 () (@var "X28" $$unsorted)) % 0.44/0.63 (define @t47 () (@var "X26" $$unsorted)) % 0.44/0.63 (define @t48 () (tptp.f7 tptp.c12)) % 0.44/0.63 (define @t49 () (tptp.f5 @t48)) % 0.44/0.63 (define @t50 () (tptp.f6 tptp.c11 @t48)) % 0.44/0.63 (define @t51 () (tptp.f5 @t50)) % 0.44/0.63 (define @t52 () (tptp.f3 @t51 @t49)) % 0.44/0.63 (define @t53 () (tptp.f3 @t19 @t20)) % 0.44/0.63 (define @t54 () (tptp.p10 @t21 @t53)) % 0.44/0.63 (define @t55 () (not @t54)) % 0.44/0.63 (define @t56 () (or @t22 @t55)) % 0.44/0.63 (define @t57 () (tptp.p10 @t21 @t52)) % 0.44/0.63 (define @t58 () (not @t57)) % 0.44/0.63 (define @t59 () (tptp.p2 @t52 @t53)) % 0.44/0.63 (define @t60 () (not @t59)) % 0.44/0.63 (define @t61 () (tptp.p2 @t21 @t21)) % 0.44/0.63 (define @t62 () (not @t61)) % 0.44/0.63 (define @t63 () (or @t54 @t62 @t60 @t58)) % 0.44/0.63 (define @t64 () (tptp.p2 @t49 @t20)) % 0.44/0.63 (define @t65 () (not @t64)) % 0.44/0.63 (define @t66 () (tptp.p2 @t51 @t19)) % 0.44/0.63 (define @t67 () (not @t66)) % 0.44/0.63 (define @t68 () (or @t59 @t67 @t65)) % 0.44/0.63 (define @t69 () (tptp.f7 @t18)) % 0.44/0.63 (define @t70 () (tptp.f5 @t69)) % 0.44/0.63 (define @t71 () (tptp.f8 tptp.c11 tptp.c12)) % 0.44/0.63 (define @t72 () (tptp.f7 @t71)) % 0.44/0.63 (define @t73 () (@list tptp.c11 tptp.c12)) % 0.44/0.63 (define @t74 () (tptp.p4 @t72 @t18)) % 0.44/0.63 (define @t75 () (not @t74)) % 0.44/0.63 (define @t76 () (tptp.p4 @t18 @t18)) % 0.44/0.63 (define @t77 () (or @t76 @t75 @t75)) % 0.44/0.63 (define @t78 () (@list false false)) % 0.44/0.63 (define @t79 () (not @t76)) % 0.44/0.63 (define @t80 () (tptp.p4 @t69 @t69)) % 0.44/0.63 (define @t81 () (or @t80 @t79)) % 0.44/0.63 (define @t82 () (not @t80)) % 0.44/0.63 (define @t83 () (tptp.p4 @t69 @t71)) % 0.44/0.63 (define @t84 () (not @t83)) % 0.44/0.63 (define @t85 () (tptp.p4 @t71 @t69)) % 0.44/0.63 (define @t86 () (or @t85 @t84 @t82)) % 0.44/0.63 (define @t87 () (@list false false false)) % 0.44/0.63 (define @t88 () (tptp.p4 @t71 @t50)) % 0.44/0.63 (define @t89 () (not @t88)) % 0.44/0.63 (define @t90 () (not @t85)) % 0.44/0.63 (define @t91 () (tptp.p4 @t69 @t50)) % 0.44/0.63 (define @t92 () (or @t91 @t90 @t89)) % 0.44/0.63 (define @t93 () (not @t91)) % 0.44/0.63 (define @t94 () (tptp.p2 @t70 @t51)) % 0.44/0.63 (define @t95 () (or @t94 @t93)) % 0.44/0.63 (define @t96 () (tptp.p2 @t70 @t19)) % 0.44/0.63 (define @t97 () (not @t96)) % 0.44/0.63 (define @t98 () (not @t94)) % 0.44/0.63 (define @t99 () (or @t66 @t98 @t97)) % 0.44/0.63 (assume @p1 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.44/0.63 (assume @p2 (forall (@list @t2) (tptp.p4 @t2 @t2))) % 0.44/0.63 (assume @p3 (forall (@list @t3) (tptp.p2 (tptp.f5 (tptp.f7 @t3)) (tptp.f5 @t3)))) % 0.44/0.63 (assume @p4 (forall (@list @t5 @t4) (tptp.p4 (tptp.f8 @t5 @t4) (tptp.f6 @t5 (tptp.f7 @t4))))) % 0.44/0.63 (assume @p5 (forall (@list @t6 @t7) (tptp.p4 (tptp.f7 (tptp.f8 @t6 @t7)) (tptp.f8 @t7 @t6)))) % 0.44/0.63 (assume @p6 (forall (@list @t9 @t8) (or (tptp.p2 (tptp.f5 @t9) (tptp.f5 @t8)) (not (tptp.p4 @t9 @t8))))) % 0.44/0.63 (assume @p7 (forall (@list @t11 @t10) (or (tptp.p4 (tptp.f7 @t11) (tptp.f7 @t10)) (not (tptp.p4 @t11 @t10))))) % 0.44/0.63 (assume @p8 (forall (@list @t13 @t12 @t1) (or (tptp.p2 @t13 @t12) (not (tptp.p2 @t1 @t13)) (not (tptp.p2 @t1 @t12))))) % 0.44/0.63 (assume @p9 (forall (@list @t15 @t14 @t2) (or (tptp.p4 @t15 @t14) (not (tptp.p4 @t2 @t15)) (not (tptp.p4 @t2 @t14))))) % 0.44/0.63 (assume @p10 (forall (@list @t17 @t16) (tptp.p10 (tptp.f5 @t17) (tptp.f3 (tptp.f5 (tptp.f6 @t17 @t16)) (tptp.f5 @t16))))) % 0.44/0.63 (assume @p11 (not @t22)) % 0.44/0.63 (assume @p12 (forall (@list @t25 @t23 @t24) (or @t27 (not @t26)))) % 0.44/0.63 (assume @p13 (forall (@list @t25 @t24 @t23) (or @t26 (not @t27)))) % 0.44/0.63 (assume @p14 (forall (@list @t31 @t30 @t29 @t28) (or (tptp.p10 @t31 @t30) (not (tptp.p2 @t29 @t31)) (not (tptp.p2 @t28 @t30)) (not (tptp.p10 @t29 @t28))))) % 0.44/0.63 (assume @p15 (forall (@list @t35 @t33 @t34 @t32) (or (tptp.p4 (tptp.f8 @t35 @t33) (tptp.f8 @t34 @t32)) (not (tptp.p4 @t35 @t34)) (not (tptp.p4 @t33 @t32))))) % 0.44/0.63 (assume @p16 (forall (@list @t39 @t37 @t38 @t36) (or (tptp.p2 (tptp.f3 @t39 @t37) (tptp.f3 @t38 @t36)) (not (tptp.p2 @t39 @t38)) (not (tptp.p2 @t37 @t36))))) % 0.44/0.63 (assume @p17 (forall (@list @t43 @t41 @t42 @t40) (or (tptp.p2 (tptp.f9 @t43 @t41) (tptp.f9 @t42 @t40)) (not (tptp.p2 @t43 @t42)) (not (tptp.p2 @t41 @t40))))) % 0.44/0.63 (assume @p18 (forall (@list @t47 @t45 @t46 @t44) (or (tptp.p4 (tptp.f6 @t47 @t45) (tptp.f6 @t46 @t44)) (not (tptp.p4 @t47 @t46)) (not (tptp.p4 @t45 @t44))))) % 0.44/0.63 (step @p19 :rule instantiate :premises (@p3) :args ((@list @t18))) % 0.44/0.63 (step @p20 :rule instantiate :premises (@p16) :args ((@list @t51 @t49 @t19 @t20))) % 0.44/0.63 (step @p21 :rule instantiate :premises (@p14) :args ((@list @t21 @t53 @t21 @t52))) % 0.44/0.63 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t21))) % 0.44/0.63 (step @p23 :rule instantiate :premises (@p10) :args ((@list tptp.c11 @t48))) % 0.44/0.63 (step @p24 :rule instantiate :premises (@p13) :args ((@list @t21 @t20 @t19))) % 0.44/0.63 (step @p25 :rule cnf_or_pos :args (@t56)) % 0.44/0.63 (step @p26 :rule reordering :premises (@p25) :args ((or @t22 @t55 (not @t56)))) % 0.44/0.63 (step @p27 :rule chain_m_resolution :premises (@p26 @p11 @p24) :args (@t55 (@list true false) (@list @t22 @t56))) % 0.44/0.63 (step @p28 :rule cnf_or_pos :args (@t63)) % 0.44/0.63 (step @p29 :rule reordering :premises (@p28) :args ((or @t54 @t58 @t62 @t60 (not @t63)))) % 0.44/0.63 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23 @p22 @p21) :args (@t60 (@list true false false false) (@list @t54 @t57 @t61 @t63))) % 0.44/0.63 (step @p31 :rule instantiate :premises (@p3) :args ((@list tptp.c12))) % 0.44/0.63 (step @p32 :rule cnf_or_pos :args (@t68)) % 0.44/0.63 (step @p33 :rule reordering :premises (@p32) :args ((or @t65 @t59 @t67 (not @t68)))) % 0.44/0.63 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p30 @p20) :args (@t67 (@list false true false) (@list @t64 @t59 @t68))) % 0.44/0.63 (step @p35 :rule instantiate :premises (@p8) :args ((@list @t51 @t19 @t70))) % 0.44/0.63 (step @p36 :rule instantiate :premises (@p6) :args ((@list @t69 @t50))) % 0.44/0.63 (step @p37 :rule instantiate :premises (@p9) :args ((@list @t69 @t50 @t71))) % 0.44/0.63 (step @p38 :rule instantiate :premises (@p9) :args ((@list @t71 @t69 @t69))) % 0.44/0.63 (step @p39 :rule instantiate :premises (@p7) :args ((@list @t18 @t18))) % 0.44/0.63 (step @p40 :rule instantiate :premises (@p9) :args ((@list @t18 @t18 @t72))) % 0.44/0.63 (step @p41 :rule instantiate :premises (@p5) :args (@t73)) % 0.44/0.63 (step @p42 :rule cnf_or_pos :args (@t77)) % 0.44/0.63 (step @p43 :rule factoring :premises (@p42)) % 0.44/0.63 (step @p44 :rule reordering :premises (@p43) :args ((or @t75 @t76 (not @t77)))) % 0.44/0.63 (step @p45 :rule chain_m_resolution :premises (@p44 @p41 @p40) :args (@t76 @t78 (@list @t74 @t77))) % 0.44/0.63 (step @p46 :rule cnf_or_pos :args (@t81)) % 0.44/0.63 (step @p47 :rule reordering :premises (@p46) :args ((or @t79 @t80 (not @t81)))) % 0.44/0.63 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p39) :args (@t80 @t78 (@list @t76 @t81))) % 0.44/0.63 (step @p49 :rule instantiate :premises (@p5) :args ((@list tptp.c12 tptp.c11))) % 0.44/0.63 (step @p50 :rule cnf_or_pos :args (@t86)) % 0.44/0.63 (step @p51 :rule reordering :premises (@p50) :args ((or @t84 @t82 @t85 (not @t86)))) % 0.44/0.63 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48 @p38) :args (@t85 @t87 (@list @t83 @t80 @t86))) % 0.44/0.63 (step @p53 :rule instantiate :premises (@p4) :args (@t73)) % 0.44/0.63 (step @p54 :rule cnf_or_pos :args (@t92)) % 0.44/0.63 (step @p55 :rule reordering :premises (@p54) :args ((or @t89 @t90 @t91 (not @t92)))) % 0.44/0.63 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52 @p37) :args (@t91 @t87 (@list @t88 @t85 @t92))) % 0.44/0.63 (step @p57 :rule cnf_or_pos :args (@t95)) % 0.44/0.63 (step @p58 :rule reordering :premises (@p57) :args ((or @t93 @t94 (not @t95)))) % 0.44/0.63 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p36) :args (@t94 @t78 (@list @t91 @t95))) % 0.44/0.63 (step @p60 :rule cnf_or_pos :args (@t99)) % 0.44/0.63 (step @p61 :rule reordering :premises (@p60) :args ((or @t97 @t66 @t98 (not @t99)))) % 0.44/0.63 (step @p62 false :rule chain_m_resolution :premises (@p61 @p59 @p35 @p34 @p19) :args (false (@list false false true false) (@list @t94 @t99 @t66 @t96))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------