%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN604-1 : 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 : n028.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 09:09:29 AM UTC 2026 % Result : Unsatisfiable 17.65s 17.89s % Output : Proof 17.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN604-1 : 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 : n028.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 23:33:05 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... % 15.43/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 17.65/17.89 % SZS status Unsatisfiable % 17.65/17.89 % SZS output start Proof % 17.65/17.89 ( % 17.65/17.89 (declare-sort $$unsorted 0) % 17.65/17.89 (declare-const tptp.c19 $$unsorted) % 17.65/17.89 (declare-const tptp.c20 $$unsorted) % 17.65/17.89 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.c23 $$unsorted) % 17.65/17.89 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 17.65/17.89 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 17.65/17.89 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.c22 $$unsorted) % 17.65/17.89 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 17.65/17.89 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 17.65/17.89 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 17.65/17.89 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 17.65/17.89 (declare-const tptp.c18 $$unsorted) % 17.65/17.89 (declare-const tptp.c17 $$unsorted) % 17.65/17.89 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 17.65/17.89 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 17.65/17.89 (declare-const tptp.c21 $$unsorted) % 17.65/17.89 (define @t1 () (@var "X0" $$unsorted)) % 17.65/17.89 (define @t2 () (@var "X49" $$unsorted)) % 17.65/17.89 (define @t3 () (@var "X42" $$unsorted)) % 17.65/17.89 (define @t4 () (@var "X31" $$unsorted)) % 17.65/17.89 (define @t5 () (@var "X20" $$unsorted)) % 17.65/17.89 (define @t6 () (@var "X41" $$unsorted)) % 17.65/17.89 (define @t7 () (@var "X38" $$unsorted)) % 17.65/17.89 (define @t8 () (tptp.f10 @t7)) % 17.65/17.89 (define @t9 () (@var "X16" $$unsorted)) % 17.65/17.89 (define @t10 () (tptp.f11 tptp.c21)) % 17.65/17.89 (define @t11 () (tptp.f10 @t10)) % 17.65/17.89 (define @t12 () (@var "X14" $$unsorted)) % 17.65/17.89 (define @t13 () (@var "X15" $$unsorted)) % 17.65/17.89 (define @t14 () (@var "X53" $$unsorted)) % 17.65/17.89 (define @t15 () (@var "X52" $$unsorted)) % 17.65/17.89 (define @t16 () (@var "X24" $$unsorted)) % 17.65/17.89 (define @t17 () (@var "X23" $$unsorted)) % 17.65/17.89 (define @t18 () (@var "X30" $$unsorted)) % 17.65/17.89 (define @t19 () (@var "X29" $$unsorted)) % 17.65/17.89 (define @t20 () (@var "X35" $$unsorted)) % 17.65/17.89 (define @t21 () (@var "X34" $$unsorted)) % 17.65/17.89 (define @t22 () (@var "X37" $$unsorted)) % 17.65/17.89 (define @t23 () (@var "X36" $$unsorted)) % 17.65/17.89 (define @t24 () (@var "X40" $$unsorted)) % 17.65/17.89 (define @t25 () (@var "X39" $$unsorted)) % 17.65/17.89 (define @t26 () (@var "X17" $$unsorted)) % 17.65/17.89 (define @t27 () (@var "X2" $$unsorted)) % 17.65/17.89 (define @t28 () (@var "X1" $$unsorted)) % 17.65/17.89 (define @t29 () (@var "X51" $$unsorted)) % 17.65/17.89 (define @t30 () (@var "X50" $$unsorted)) % 17.65/17.89 (define @t31 () (@var "X44" $$unsorted)) % 17.65/17.89 (define @t32 () (@var "X43" $$unsorted)) % 17.65/17.89 (define @t33 () (@var "X33" $$unsorted)) % 17.65/17.89 (define @t34 () (@var "X32" $$unsorted)) % 17.65/17.89 (define @t35 () (@var "X22" $$unsorted)) % 17.65/17.89 (define @t36 () (@var "X21" $$unsorted)) % 17.65/17.89 (define @t37 () (@var "X12" $$unsorted)) % 17.65/17.89 (define @t38 () (@var "X13" $$unsorted)) % 17.65/17.89 (define @t39 () (@var "X11" $$unsorted)) % 17.65/17.89 (define @t40 () (@var "X3" $$unsorted)) % 17.65/17.89 (define @t41 () (@var "X5" $$unsorted)) % 17.65/17.89 (define @t42 () (@var "X4" $$unsorted)) % 17.65/17.89 (define @t43 () (@var "X6" $$unsorted)) % 17.65/17.89 (define @t44 () (@var "X10" $$unsorted)) % 17.65/17.89 (define @t45 () (@var "X9" $$unsorted)) % 17.65/17.89 (define @t46 () (@var "X8" $$unsorted)) % 17.65/17.89 (define @t47 () (@var "X7" $$unsorted)) % 17.65/17.89 (define @t48 () (forall (@list @t47 @t46 @t45 @t44) (or (tptp.p16 @t47 @t46) (not (tptp.p3 @t45 @t47)) (not (tptp.p3 @t44 @t46)) (not (tptp.p16 @t45 @t44))))) % 17.65/17.89 (define @t49 () (@var "X48" $$unsorted)) % 17.65/17.89 (define @t50 () (@var "X46" $$unsorted)) % 17.65/17.89 (define @t51 () (@var "X47" $$unsorted)) % 17.65/17.89 (define @t52 () (@var "X45" $$unsorted)) % 17.65/17.89 (define @t53 () (@var "X27" $$unsorted)) % 17.65/17.89 (define @t54 () (@var "X25" $$unsorted)) % 17.65/17.89 (define @t55 () (@var "X28" $$unsorted)) % 17.65/17.89 (define @t56 () (@var "X26" $$unsorted)) % 17.65/17.89 (define @t57 () (@var "X54" $$unsorted)) % 17.65/17.89 (define @t58 () (tptp.f7 tptp.c20 tptp.c18)) % 17.65/17.89 (define @t59 () (tptp.f12 tptp.c19)) % 17.65/17.89 (define @t60 () (@var "X18" $$unsorted)) % 17.65/17.89 (define @t61 () (tptp.f4 (tptp.f6 @t58 tptp.c23))) % 17.65/17.89 (define @t62 () (@var "X19" $$unsorted)) % 17.65/17.89 (define @t63 () (tptp.f8 @t11)) % 17.65/17.89 (define @t64 () (tptp.f4 (tptp.f6 @t58 @t63))) % 17.65/17.89 (define @t65 () (tptp.f12 @t11)) % 17.65/17.89 (define @t66 () (tptp.f4 @t63)) % 17.65/17.89 (define @t67 () (tptp.p3 @t66 @t66)) % 17.65/17.89 (define @t68 () (not @t67)) % 17.65/17.89 (define @t69 () (tptp.p3 @t66 @t65)) % 17.65/17.89 (define @t70 () (not @t69)) % 17.65/17.89 (define @t71 () (tptp.p3 @t65 @t66)) % 17.65/17.89 (define @t72 () (or @t71 @t70 @t68)) % 17.65/17.89 (define @t73 () (@list false false false)) % 17.65/17.89 (define @t74 () (not @t71)) % 17.65/17.89 (define @t75 () (tptp.p3 @t65 @t11)) % 17.65/17.89 (define @t76 () (not @t75)) % 17.65/17.89 (define @t77 () (tptp.p3 @t11 @t66)) % 17.65/17.89 (define @t78 () (or @t77 @t76 @t74)) % 17.65/17.89 (define @t79 () (tptp.f13 tptp.c23)) % 17.65/17.89 (define @t80 () (tptp.f4 (tptp.f6 @t58 @t79))) % 17.65/17.89 (define @t81 () (@list @t79)) % 17.65/17.89 (define @t82 () (tptp.f4 @t79)) % 17.65/17.89 (define @t83 () (tptp.p16 @t82 @t59)) % 17.65/17.89 (define @t84 () (not @t83)) % 17.65/17.89 (define @t85 () (tptp.p16 @t61 @t80)) % 17.65/17.89 (define @t86 () (or @t85 @t84)) % 17.65/17.89 (define @t87 () (@list true false)) % 17.65/17.89 (define @t88 () (tptp.p16 tptp.c19 @t82)) % 17.65/17.89 (define @t89 () (or @t88 @t83)) % 17.65/17.89 (define @t90 () (not @t88)) % 17.65/17.89 (define @t91 () (tptp.p16 @t64 @t80)) % 17.65/17.89 (define @t92 () (or @t91 @t90)) % 17.65/17.89 (define @t93 () (not @t91)) % 17.65/17.89 (define @t94 () (tptp.p16 @t61 @t64)) % 17.65/17.89 (define @t95 () (not @t94)) % 17.65/17.89 (define @t96 () (or @t85 @t95 @t93)) % 17.65/17.89 (define @t97 () (tptp.p16 @t66 @t59)) % 17.65/17.89 (define @t98 () (not @t97)) % 17.65/17.89 (define @t99 () (or @t94 @t98)) % 17.65/17.89 (define @t100 () (tptp.p16 @t11 @t59)) % 17.65/17.89 (define @t101 () (not @t100)) % 17.65/17.89 (define @t102 () (tptp.p3 @t59 @t59)) % 17.65/17.89 (define @t103 () (not @t102)) % 17.65/17.89 (define @t104 () (not @t77)) % 17.65/17.89 (define @t105 () (or @t97 @t104 @t103 @t101)) % 17.65/17.89 (define @t106 () (not @t105)) % 17.65/17.89 (assume @p1 (forall (@list @t1) (tptp.p14 @t1 @t1))) % 17.65/17.89 (assume @p2 (forall (@list @t2) (tptp.p9 @t2 @t2))) % 17.65/17.89 (assume @p3 (forall (@list @t3) (tptp.p5 @t3 @t3))) % 17.65/17.89 (assume @p4 (forall (@list @t4) (tptp.p3 @t4 @t4))) % 17.65/17.89 (assume @p5 (forall (@list @t5) (tptp.p2 @t5 @t5))) % 17.65/17.89 (assume @p6 (tptp.p15 tptp.c17 tptp.c18)) % 17.65/17.89 (assume @p7 (forall (@list @t6) (tptp.p3 (tptp.f4 (tptp.f8 @t6)) (tptp.f12 @t6)))) % 17.65/17.89 (assume @p8 (forall (@list @t7) (tptp.p3 (tptp.f12 @t8) @t8))) % 17.65/17.89 (assume @p9 (forall (@list @t9) (tptp.p16 @t11 (tptp.f12 @t9)))) % 17.65/17.89 (assume @p10 (forall (@list @t12 @t13) (or (tptp.p16 @t12 @t13) (tptp.p16 @t13 (tptp.f12 @t12))))) % 17.65/17.89 (assume @p11 (forall (@list @t15 @t14) (or (tptp.p9 (tptp.f11 @t15) (tptp.f11 @t14)) (not (tptp.p9 @t15 @t14))))) % 17.65/17.89 (assume @p12 (forall (@list @t17 @t16) (or (tptp.p2 (tptp.f13 @t17) (tptp.f13 @t16)) (not (tptp.p2 @t17 @t16))))) % 17.65/17.89 (assume @p13 (forall (@list @t19 @t18) (or (tptp.p2 (tptp.f8 @t19) (tptp.f8 @t18)) (not (tptp.p3 @t19 @t18))))) % 17.65/17.89 (assume @p14 (forall (@list @t21 @t20) (or (tptp.p3 (tptp.f10 @t21) (tptp.f10 @t20)) (not (tptp.p9 @t21 @t20))))) % 17.65/17.89 (assume @p15 (forall (@list @t23 @t22) (or (tptp.p3 (tptp.f12 @t23) (tptp.f12 @t22)) (not (tptp.p3 @t23 @t22))))) % 17.65/17.89 (assume @p16 (forall (@list @t25 @t24) (or (tptp.p3 (tptp.f4 @t25) (tptp.f4 @t24)) (not (tptp.p2 @t25 @t24))))) % 17.65/17.89 (assume @p17 (forall (@list @t26) (tptp.p16 (tptp.f4 (tptp.f6 tptp.c18 tptp.c22)) (tptp.f4 (tptp.f6 tptp.c18 @t26))))) % 17.65/17.89 (assume @p18 (forall (@list @t28 @t27 @t1) (or (tptp.p14 @t28 @t27) (not (tptp.p14 @t1 @t28)) (not (tptp.p14 @t1 @t27))))) % 17.65/17.89 (assume @p19 (forall (@list @t30 @t29 @t2) (or (tptp.p9 @t30 @t29) (not (tptp.p9 @t2 @t30)) (not (tptp.p9 @t2 @t29))))) % 17.65/17.89 (assume @p20 (forall (@list @t32 @t31 @t3) (or (tptp.p5 @t32 @t31) (not (tptp.p5 @t3 @t32)) (not (tptp.p5 @t3 @t31))))) % 17.65/17.89 (assume @p21 (forall (@list @t34 @t33 @t4) (or (tptp.p3 @t34 @t33) (not (tptp.p3 @t4 @t34)) (not (tptp.p3 @t4 @t33))))) % 17.65/17.89 (assume @p22 (forall (@list @t36 @t35 @t5) (or (tptp.p2 @t36 @t35) (not (tptp.p2 @t5 @t36)) (not (tptp.p2 @t5 @t35))))) % 17.65/17.89 (assume @p23 (forall (@list @t39 @t37 @t38) (or (tptp.p16 @t39 @t37) (not (tptp.p16 @t39 @t38)) (not (tptp.p16 @t38 @t37))))) % 17.65/17.89 (assume @p24 (forall (@list @t40 @t42 @t41 @t43) (or (tptp.p15 @t40 @t42) (not (tptp.p15 @t41 @t43)) (not (tptp.p5 @t43 @t42)) (not (tptp.p14 @t41 @t40))))) % 17.65/17.89 (assume @p25 @t48) % 17.65/17.89 (assume @p26 (forall (@list @t52 @t50 @t51 @t49) (or (tptp.p5 (tptp.f7 @t52 @t50) (tptp.f7 @t51 @t49)) (not (tptp.p2 @t52 @t51)) (not (tptp.p5 @t50 @t49))))) % 17.65/17.89 (assume @p27 (forall (@list @t54 @t56 @t53 @t55) (or (tptp.p2 (tptp.f6 @t54 @t56) (tptp.f6 @t53 @t55)) (not (tptp.p2 @t56 @t55)) (not (tptp.p5 @t54 @t53))))) % 17.65/17.89 (assume @p28 (forall (@list @t57) (not (tptp.p16 (tptp.f4 (tptp.f6 @t58 @t57)) (tptp.f4 (tptp.f6 @t58 (tptp.f13 @t57))))))) % 17.65/17.89 (assume @p29 (forall (@list @t60) (or (tptp.p16 @t61 (tptp.f4 (tptp.f6 @t58 @t60))) (not (tptp.p16 (tptp.f4 @t60) @t59))))) % 17.65/17.89 (assume @p30 (forall (@list @t62) (or (tptp.p16 @t64 (tptp.f4 (tptp.f6 @t58 @t62))) (not (tptp.p16 tptp.c19 (tptp.f4 @t62)))))) % 17.65/17.89 (step @p31 :rule instantiate :premises (@p21) :args ((@list @t11 @t66 @t65))) % 17.65/17.89 (step @p32 :rule instantiate :premises (@p21) :args ((@list @t65 @t66 @t66))) % 17.65/17.89 (step @p33 :rule instantiate :premises (@p4) :args ((@list @t66))) % 17.65/17.89 (step @p34 :rule instantiate :premises (@p7) :args ((@list @t11))) % 17.65/17.89 (step @p35 :rule cnf_or_pos :args (@t72)) % 17.65/17.89 (step @p36 :rule reordering :premises (@p35) :args ((or @t70 @t68 @t71 (not @t72)))) % 17.65/17.89 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p33 @p32) :args (@t71 @t73 (@list @t69 @t67 @t72))) % 17.65/17.89 (step @p38 :rule instantiate :premises (@p8) :args ((@list @t10))) % 17.65/17.89 (step @p39 :rule cnf_or_pos :args (@t78)) % 17.65/17.89 (step @p40 :rule reordering :premises (@p39) :args ((or @t76 @t77 @t74 (not @t78)))) % 17.65/17.89 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37 @p31) :args (@t77 @t73 (@list @t75 @t71 @t78))) % 17.65/17.89 (step @p42 :rule instantiate :premises (@p29) :args ((@list @t63))) % 17.65/17.89 (step @p43 :rule instantiate :premises (@p23) :args ((@list @t61 @t80 @t64))) % 17.65/17.89 (step @p44 :rule instantiate :premises (@p30) :args (@t81)) % 17.65/17.89 (step @p45 :rule instantiate :premises (@p10) :args ((@list tptp.c19 @t82))) % 17.65/17.89 (step @p46 :rule instantiate :premises (@p29) :args (@t81)) % 17.65/17.89 (step @p47 :rule instantiate :premises (@p28) :args ((@list tptp.c23))) % 17.65/17.89 (step @p48 :rule cnf_or_pos :args (@t86)) % 17.65/17.89 (step @p49 :rule reordering :premises (@p48) :args ((or @t85 @t84 (not @t86)))) % 17.65/17.89 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46) :args (@t84 @t87 (@list @t85 @t86))) % 17.65/17.89 (step @p51 :rule cnf_or_pos :args (@t89)) % 17.65/17.89 (step @p52 :rule reordering :premises (@p51) :args ((or @t83 @t88 (not @t89)))) % 17.65/17.89 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p45) :args (@t88 @t87 (@list @t83 @t89))) % 17.65/17.89 (step @p54 :rule cnf_or_pos :args (@t92)) % 17.65/17.89 (step @p55 :rule reordering :premises (@p54) :args ((or @t91 @t90 (not @t92)))) % 17.65/17.89 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p44) :args (@t91 (@list false false) (@list @t88 @t92))) % 17.65/17.89 (step @p57 :rule cnf_or_pos :args (@t96)) % 17.65/17.89 (step @p58 :rule reordering :premises (@p57) :args ((or @t85 @t95 @t93 (not @t96)))) % 17.65/17.89 (step @p59 :rule chain_m_resolution :premises (@p58 @p47 @p56 @p43) :args (@t95 (@list true false false) (@list @t85 @t91 @t96))) % 17.65/17.89 (step @p60 :rule cnf_or_pos :args (@t99)) % 17.65/17.89 (step @p61 :rule reordering :premises (@p60) :args ((or @t94 @t98 (not @t99)))) % 17.65/17.89 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p42) :args (@t98 @t87 (@list @t94 @t99))) % 17.65/17.89 (step @p63 :rule instantiate :premises (@p4) :args ((@list @t59))) % 17.65/17.89 (step @p64 :rule instantiate :premises (@p9) :args ((@list tptp.c19))) % 17.65/17.89 (step @p65 :rule cnf_or_pos :args (@t105)) % 17.65/17.89 (step @p66 :rule reordering :premises (@p65) :args ((or @t101 @t103 @t97 @t104 @t106))) % 17.65/17.89 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p63 @p62 @p41) :args (@t106 (@list false false true false) (@list @t100 @t102 @t97 @t77))) % 17.65/17.89 (assume-push @p74 @t48) % 17.65/17.89 (step @p69 :rule instantiate :premises (@p25) :args ((@list @t66 @t59 @t11 @t59))) % 17.65/17.89 (step-pop @p75 :rule scope :premises (@p69)) % 17.65/17.89 (step @p70 :rule process_scope :premises (@p75) :args (@t105)) % 17.65/17.89 (step @p72 :rule implies_elim :premises (@p70)) % 17.65/17.89 (step @p73 false :rule chain_m_resolution :premises (@p72 @p67 @p25) :args (false @t87 (@list @t105 @t48))) % 17.65/17.89 ) % 17.65/17.89 % SZS output end Proof % 17.65/17.89 % cvc5 exiting %------------------------------------------------------------------------------