%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN672-1 : 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 : n023.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 09:09:37 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN672-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:34:13 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Unsatisfiable % 0.38/0.60 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.c32 $$unsorted) % 0.38/0.61 (declare-const tptp.c33 $$unsorted) % 0.38/0.61 (declare-const tptp.p30 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p22 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p24 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.c36 $$unsorted) % 0.38/0.61 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.p28 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.c35 $$unsorted) % 0.38/0.61 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.c41 $$unsorted) % 0.38/0.61 (declare-const tptp.p8 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p31 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p26 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.c34 $$unsorted) % 0.38/0.61 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.c42 $$unsorted) % 0.38/0.61 (declare-const tptp.f25 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.p13 (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.c39 $$unsorted) % 0.38/0.61 (declare-const tptp.c38 $$unsorted) % 0.38/0.61 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.c40 $$unsorted) % 0.38/0.61 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.c37 $$unsorted) % 0.38/0.61 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (define @t1 () (@var "X0" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "X105" $$unsorted)) % 0.38/0.61 (define @t3 () (@var "X98" $$unsorted)) % 0.38/0.61 (define @t4 () (@var "X95" $$unsorted)) % 0.38/0.61 (define @t5 () (@var "X92" $$unsorted)) % 0.38/0.61 (define @t6 () (@var "X62" $$unsorted)) % 0.38/0.61 (define @t7 () (@var "X57" $$unsorted)) % 0.38/0.61 (define @t8 () (@var "X54" $$unsorted)) % 0.38/0.61 (define @t9 () (@var "X47" $$unsorted)) % 0.38/0.61 (define @t10 () (@var "X40" $$unsorted)) % 0.38/0.61 (define @t11 () (@var "X33" $$unsorted)) % 0.38/0.61 (define @t12 () (@var "X26" $$unsorted)) % 0.38/0.61 (define @t13 () (@var "X19" $$unsorted)) % 0.38/0.61 (define @t14 () (@var "X16" $$unsorted)) % 0.38/0.61 (define @t15 () (@var "X9" $$unsorted)) % 0.38/0.61 (define @t16 () (@var "X6" $$unsorted)) % 0.38/0.61 (define @t17 () (@var "X3" $$unsorted)) % 0.38/0.61 (define @t18 () (tptp.f14 tptp.c38 tptp.c39)) % 0.38/0.61 (define @t19 () (tptp.p3 tptp.c40 @t18)) % 0.38/0.61 (define @t20 () (tptp.p31 (tptp.f20 tptp.c36 tptp.c39) (tptp.f17 tptp.c37 tptp.c40))) % 0.38/0.61 (define @t21 () (@var "X2" $$unsorted)) % 0.38/0.61 (define @t22 () (@var "X1" $$unsorted)) % 0.38/0.61 (define @t23 () (@var "X107" $$unsorted)) % 0.38/0.61 (define @t24 () (@var "X106" $$unsorted)) % 0.38/0.61 (define @t25 () (@var "X100" $$unsorted)) % 0.38/0.61 (define @t26 () (@var "X99" $$unsorted)) % 0.38/0.61 (define @t27 () (@var "X97" $$unsorted)) % 0.38/0.61 (define @t28 () (@var "X96" $$unsorted)) % 0.38/0.61 (define @t29 () (@var "X94" $$unsorted)) % 0.38/0.61 (define @t30 () (@var "X93" $$unsorted)) % 0.38/0.61 (define @t31 () (@var "X64" $$unsorted)) % 0.38/0.61 (define @t32 () (@var "X63" $$unsorted)) % 0.38/0.61 (define @t33 () (@var "X59" $$unsorted)) % 0.38/0.61 (define @t34 () (@var "X58" $$unsorted)) % 0.38/0.61 (define @t35 () (@var "X56" $$unsorted)) % 0.38/0.61 (define @t36 () (@var "X55" $$unsorted)) % 0.38/0.61 (define @t37 () (@var "X49" $$unsorted)) % 0.38/0.61 (define @t38 () (@var "X48" $$unsorted)) % 0.38/0.61 (define @t39 () (@var "X42" $$unsorted)) % 0.38/0.61 (define @t40 () (@var "X41" $$unsorted)) % 0.38/0.61 (define @t41 () (@var "X35" $$unsorted)) % 0.38/0.61 (define @t42 () (@var "X34" $$unsorted)) % 0.38/0.61 (define @t43 () (@var "X28" $$unsorted)) % 0.38/0.61 (define @t44 () (@var "X27" $$unsorted)) % 0.38/0.61 (define @t45 () (@var "X21" $$unsorted)) % 0.38/0.61 (define @t46 () (@var "X20" $$unsorted)) % 0.38/0.61 (define @t47 () (@var "X18" $$unsorted)) % 0.38/0.61 (define @t48 () (@var "X17" $$unsorted)) % 0.38/0.61 (define @t49 () (@var "X11" $$unsorted)) % 0.38/0.61 (define @t50 () (@var "X10" $$unsorted)) % 0.38/0.61 (define @t51 () (@var "X8" $$unsorted)) % 0.38/0.61 (define @t52 () (@var "X7" $$unsorted)) % 0.38/0.61 (define @t53 () (@var "X5" $$unsorted)) % 0.38/0.61 (define @t54 () (@var "X4" $$unsorted)) % 0.38/0.61 (define @t55 () (@var "X78" $$unsorted)) % 0.38/0.61 (define @t56 () (@var "X77" $$unsorted)) % 0.38/0.61 (define @t57 () (@var "X89" $$unsorted)) % 0.38/0.61 (define @t58 () (@var "X90" $$unsorted)) % 0.38/0.61 (define @t59 () (@var "X91" $$unsorted)) % 0.38/0.61 (define @t60 () (@var "X88" $$unsorted)) % 0.38/0.61 (define @t61 () (@var "X83" $$unsorted)) % 0.38/0.61 (define @t62 () (@var "X84" $$unsorted)) % 0.38/0.61 (define @t63 () (@var "X82" $$unsorted)) % 0.38/0.61 (define @t64 () (@var "X85" $$unsorted)) % 0.38/0.61 (define @t65 () (forall (@list @t63 @t61 @t64 @t62) (or (tptp.p30 @t63 @t61) (not (tptp.p30 @t64 @t62)) (not (tptp.p9 @t64 @t63)) (not (tptp.p3 @t62 @t61))))) % 0.38/0.61 (define @t66 () (tptp.f7 tptp.c34 tptp.c35)) % 0.38/0.61 (define @t67 () (tptp.f4 @t66 tptp.c40)) % 0.38/0.61 (define @t68 () (tptp.f14 tptp.c35 tptp.c39)) % 0.38/0.61 (define @t69 () (tptp.f12 tptp.c32 tptp.c33)) % 0.38/0.61 (define @t70 () (tptp.f10 @t69 @t68)) % 0.38/0.61 (define @t71 () (tptp.p30 @t70 @t67)) % 0.38/0.61 (define @t72 () (@var "X15" $$unsorted)) % 0.38/0.61 (define @t73 () (@var "X13" $$unsorted)) % 0.38/0.61 (define @t74 () (@var "X14" $$unsorted)) % 0.38/0.61 (define @t75 () (@var "X12" $$unsorted)) % 0.38/0.61 (define @t76 () (@var "X110" $$unsorted)) % 0.38/0.61 (define @t77 () (@var "X108" $$unsorted)) % 0.38/0.61 (define @t78 () (@var "X111" $$unsorted)) % 0.38/0.61 (define @t79 () (@var "X109" $$unsorted)) % 0.38/0.61 (define @t80 () (@var "X104" $$unsorted)) % 0.38/0.61 (define @t81 () (@var "X102" $$unsorted)) % 0.38/0.61 (define @t82 () (@var "X103" $$unsorted)) % 0.38/0.61 (define @t83 () (@var "X101" $$unsorted)) % 0.38/0.61 (define @t84 () (@var "X76" $$unsorted)) % 0.38/0.61 (define @t85 () (@var "X74" $$unsorted)) % 0.38/0.61 (define @t86 () (@var "X75" $$unsorted)) % 0.38/0.61 (define @t87 () (@var "X73" $$unsorted)) % 0.38/0.61 (define @t88 () (@var "X72" $$unsorted)) % 0.38/0.61 (define @t89 () (@var "X70" $$unsorted)) % 0.38/0.61 (define @t90 () (@var "X71" $$unsorted)) % 0.38/0.61 (define @t91 () (@var "X69" $$unsorted)) % 0.38/0.61 (define @t92 () (@var "X67" $$unsorted)) % 0.38/0.61 (define @t93 () (@var "X65" $$unsorted)) % 0.38/0.61 (define @t94 () (@var "X68" $$unsorted)) % 0.38/0.61 (define @t95 () (@var "X66" $$unsorted)) % 0.38/0.61 (define @t96 () (@var "X52" $$unsorted)) % 0.38/0.61 (define @t97 () (@var "X50" $$unsorted)) % 0.38/0.61 (define @t98 () (@var "X53" $$unsorted)) % 0.38/0.61 (define @t99 () (@var "X51" $$unsorted)) % 0.38/0.61 (define @t100 () (@var "X45" $$unsorted)) % 0.38/0.61 (define @t101 () (@var "X43" $$unsorted)) % 0.38/0.61 (define @t102 () (@var "X46" $$unsorted)) % 0.38/0.61 (define @t103 () (@var "X44" $$unsorted)) % 0.38/0.61 (define @t104 () (@var "X38" $$unsorted)) % 0.38/0.61 (define @t105 () (@var "X36" $$unsorted)) % 0.38/0.61 (define @t106 () (@var "X39" $$unsorted)) % 0.38/0.61 (define @t107 () (@var "X37" $$unsorted)) % 0.38/0.61 (define @t108 () (@var "X32" $$unsorted)) % 0.38/0.61 (define @t109 () (@var "X30" $$unsorted)) % 0.38/0.61 (define @t110 () (@var "X31" $$unsorted)) % 0.38/0.61 (define @t111 () (@var "X29" $$unsorted)) % 0.38/0.61 (define @t112 () (@var "X24" $$unsorted)) % 0.38/0.61 (define @t113 () (@var "X22" $$unsorted)) % 0.38/0.61 (define @t114 () (@var "X25" $$unsorted)) % 0.38/0.61 (define @t115 () (@var "X23" $$unsorted)) % 0.38/0.61 (define @t116 () (@var "X81" $$unsorted)) % 0.38/0.61 (define @t117 () (@var "X79" $$unsorted)) % 0.38/0.61 (define @t118 () (tptp.f7 tptp.c34 @t117)) % 0.38/0.61 (define @t119 () (@var "X80" $$unsorted)) % 0.38/0.61 (define @t120 () (tptp.f29 tptp.c41 @t119)) % 0.38/0.61 (define @t121 () (@var "X60" $$unsorted)) % 0.38/0.61 (define @t122 () (@var "X61" $$unsorted)) % 0.38/0.61 (define @t123 () (tptp.f14 tptp.c38 @t122)) % 0.38/0.61 (define @t124 () (@var "X87" $$unsorted)) % 0.38/0.61 (define @t125 () (@var "X86" $$unsorted)) % 0.38/0.61 (define @t126 () (tptp.f4 @t66 @t18)) % 0.38/0.61 (define @t127 () (tptp.p8 @t69 @t69)) % 0.38/0.61 (define @t128 () (not @t127)) % 0.38/0.61 (define @t129 () (tptp.p3 @t126 @t68)) % 0.38/0.61 (define @t130 () (not @t129)) % 0.38/0.61 (define @t131 () (tptp.f10 @t69 @t126)) % 0.38/0.61 (define @t132 () (tptp.p9 @t131 @t70)) % 0.38/0.61 (define @t133 () (or @t132 @t130 @t128)) % 0.38/0.61 (define @t134 () (not @t20)) % 0.38/0.61 (define @t135 () (tptp.p30 (tptp.f10 @t69 @t18) tptp.c40)) % 0.38/0.61 (define @t136 () (or @t19 @t135 @t134)) % 0.38/0.61 (define @t137 () (not @t135)) % 0.38/0.61 (define @t138 () (tptp.p30 @t131 @t67)) % 0.38/0.61 (define @t139 () (or @t138 @t137)) % 0.38/0.61 (define @t140 () (tptp.p3 @t67 @t67)) % 0.38/0.61 (define @t141 () (not @t140)) % 0.38/0.61 (define @t142 () (not @t132)) % 0.38/0.61 (define @t143 () (not @t138)) % 0.38/0.61 (define @t144 () (or @t71 @t143 @t142 @t141)) % 0.38/0.61 (define @t145 () (not @t144)) % 0.38/0.61 (assume @p1 (forall (@list @t1) (tptp.p11 @t1 @t1))) % 0.38/0.61 (assume @p2 (forall (@list @t2) (tptp.p9 @t2 @t2))) % 0.38/0.61 (assume @p3 (forall (@list @t3) (tptp.p8 @t3 @t3))) % 0.38/0.61 (assume @p4 (forall (@list @t4) (tptp.p6 @t4 @t4))) % 0.38/0.61 (assume @p5 (forall (@list @t5) (tptp.p5 @t5 @t5))) % 0.38/0.61 (assume @p6 (forall (@list @t6) (tptp.p3 @t6 @t6))) % 0.38/0.61 (assume @p7 (forall (@list @t7) (tptp.p28 @t7 @t7))) % 0.38/0.61 (assume @p8 (forall (@list @t8) (tptp.p26 @t8 @t8))) % 0.38/0.61 (assume @p9 (forall (@list @t9) (tptp.p24 @t9 @t9))) % 0.38/0.61 (assume @p10 (forall (@list @t10) (tptp.p22 @t10 @t10))) % 0.38/0.61 (assume @p11 (forall (@list @t11) (tptp.p21 @t11 @t11))) % 0.38/0.61 (assume @p12 (forall (@list @t12) (tptp.p2 @t12 @t12))) % 0.38/0.61 (assume @p13 (forall (@list @t13) (tptp.p19 @t13 @t13))) % 0.38/0.61 (assume @p14 (forall (@list @t14) (tptp.p18 @t14 @t14))) % 0.38/0.61 (assume @p15 (forall (@list @t15) (tptp.p16 @t15 @t15))) % 0.38/0.61 (assume @p16 (forall (@list @t16) (tptp.p15 @t16 @t16))) % 0.38/0.61 (assume @p17 (forall (@list @t17) (tptp.p13 @t17 @t17))) % 0.38/0.61 (assume @p18 (not @t19)) % 0.38/0.61 (assume @p19 @t20) % 0.38/0.61 (assume @p20 (forall (@list @t22 @t21 @t1) (or (tptp.p11 @t22 @t21) (not (tptp.p11 @t1 @t22)) (not (tptp.p11 @t1 @t21))))) % 0.38/0.61 (assume @p21 (forall (@list @t24 @t23 @t2) (or (tptp.p9 @t24 @t23) (not (tptp.p9 @t2 @t24)) (not (tptp.p9 @t2 @t23))))) % 0.38/0.61 (assume @p22 (forall (@list @t26 @t25 @t3) (or (tptp.p8 @t26 @t25) (not (tptp.p8 @t3 @t26)) (not (tptp.p8 @t3 @t25))))) % 0.38/0.61 (assume @p23 (forall (@list @t28 @t27 @t4) (or (tptp.p6 @t28 @t27) (not (tptp.p6 @t4 @t28)) (not (tptp.p6 @t4 @t27))))) % 0.38/0.61 (assume @p24 (forall (@list @t30 @t29 @t5) (or (tptp.p5 @t30 @t29) (not (tptp.p5 @t5 @t30)) (not (tptp.p5 @t5 @t29))))) % 0.38/0.61 (assume @p25 (forall (@list @t32 @t31 @t6) (or (tptp.p3 @t32 @t31) (not (tptp.p3 @t6 @t32)) (not (tptp.p3 @t6 @t31))))) % 0.38/0.61 (assume @p26 (forall (@list @t34 @t33 @t7) (or (tptp.p28 @t34 @t33) (not (tptp.p28 @t7 @t34)) (not (tptp.p28 @t7 @t33))))) % 0.38/0.61 (assume @p27 (forall (@list @t36 @t35 @t8) (or (tptp.p26 @t36 @t35) (not (tptp.p26 @t8 @t36)) (not (tptp.p26 @t8 @t35))))) % 0.38/0.61 (assume @p28 (forall (@list @t38 @t37 @t9) (or (tptp.p24 @t38 @t37) (not (tptp.p24 @t9 @t38)) (not (tptp.p24 @t9 @t37))))) % 0.38/0.61 (assume @p29 (forall (@list @t40 @t39 @t10) (or (tptp.p22 @t40 @t39) (not (tptp.p22 @t10 @t40)) (not (tptp.p22 @t10 @t39))))) % 0.38/0.61 (assume @p30 (forall (@list @t42 @t41 @t11) (or (tptp.p21 @t42 @t41) (not (tptp.p21 @t11 @t42)) (not (tptp.p21 @t11 @t41))))) % 0.38/0.61 (assume @p31 (forall (@list @t44 @t43 @t12) (or (tptp.p2 @t44 @t43) (not (tptp.p2 @t12 @t44)) (not (tptp.p2 @t12 @t43))))) % 0.38/0.61 (assume @p32 (forall (@list @t46 @t45 @t13) (or (tptp.p19 @t46 @t45) (not (tptp.p19 @t13 @t46)) (not (tptp.p19 @t13 @t45))))) % 0.38/0.61 (assume @p33 (forall (@list @t48 @t47 @t14) (or (tptp.p18 @t48 @t47) (not (tptp.p18 @t14 @t48)) (not (tptp.p18 @t14 @t47))))) % 0.38/0.61 (assume @p34 (forall (@list @t50 @t49 @t15) (or (tptp.p16 @t50 @t49) (not (tptp.p16 @t15 @t50)) (not (tptp.p16 @t15 @t49))))) % 0.38/0.61 (assume @p35 (forall (@list @t52 @t51 @t16) (or (tptp.p15 @t52 @t51) (not (tptp.p15 @t16 @t52)) (not (tptp.p15 @t16 @t51))))) % 0.38/0.61 (assume @p36 (forall (@list @t54 @t53 @t17) (or (tptp.p13 @t54 @t53) (not (tptp.p13 @t17 @t54)) (not (tptp.p13 @t17 @t53))))) % 0.38/0.61 (assume @p37 (forall (@list @t56 @t55) (tptp.p3 (tptp.f4 (tptp.f7 tptp.c34 @t56) (tptp.f14 tptp.c38 @t55)) (tptp.f14 @t56 @t55)))) % 0.38/0.61 (assume @p38 (forall (@list @t60 @t57 @t59 @t58) (or (tptp.p31 @t60 @t57) (not (tptp.p19 @t59 @t60)) (not (tptp.p31 @t59 @t58)) (not (tptp.p16 @t58 @t57))))) % 0.38/0.61 (assume @p39 @t65) % 0.38/0.61 (assume @p40 (not @t71)) % 0.38/0.61 (assume @p41 (forall (@list @t75 @t73 @t74 @t72) (or (tptp.p16 (tptp.f17 @t75 @t73) (tptp.f17 @t74 @t72)) (not (tptp.p15 @t75 @t74)) (not (tptp.p3 @t73 @t72))))) % 0.38/0.61 (assume @p42 (forall (@list @t77 @t79 @t76 @t78) (or (tptp.p9 (tptp.f10 @t77 @t79) (tptp.f10 @t76 @t78)) (not (tptp.p3 @t79 @t78)) (not (tptp.p8 @t77 @t76))))) % 0.38/0.61 (assume @p43 (forall (@list @t83 @t81 @t82 @t80) (or (tptp.p8 (tptp.f12 @t83 @t81) (tptp.f12 @t82 @t80)) (not (tptp.p11 @t83 @t82)) (not (tptp.p8 @t81 @t80))))) % 0.38/0.61 (assume @p44 (forall (@list @t87 @t85 @t86 @t84) (or (tptp.p3 (tptp.f4 @t87 @t85) (tptp.f4 @t86 @t84)) (not (tptp.p2 @t87 @t86)) (not (tptp.p3 @t85 @t84))))) % 0.38/0.61 (assume @p45 (forall (@list @t91 @t89 @t90 @t88) (or (tptp.p3 (tptp.f23 @t91 @t89) (tptp.f23 @t90 @t88)) (not (tptp.p21 @t91 @t90)) (not (tptp.p22 @t89 @t88))))) % 0.38/0.61 (assume @p46 (forall (@list @t93 @t95 @t92 @t94) (or (tptp.p3 (tptp.f14 @t93 @t95) (tptp.f14 @t92 @t94)) (not (tptp.p13 @t95 @t94)) (not (tptp.p6 @t93 @t92))))) % 0.38/0.61 (assume @p47 (forall (@list @t97 @t99 @t96 @t98) (or (tptp.p24 (tptp.f27 @t97 @t99) (tptp.f27 @t96 @t98)) (not (tptp.p2 @t99 @t98)) (not (tptp.p26 @t97 @t96))))) % 0.38/0.61 (assume @p48 (forall (@list @t101 @t103 @t100 @t102) (or (tptp.p22 (tptp.f25 @t101 @t103) (tptp.f25 @t100 @t102)) (not (tptp.p22 @t103 @t102)) (not (tptp.p24 @t101 @t100))))) % 0.38/0.61 (assume @p49 (forall (@list @t105 @t107 @t104 @t106) (or (tptp.p21 (tptp.f29 @t105 @t107) (tptp.f29 @t104 @t106)) (not (tptp.p13 @t107 @t106)) (not (tptp.p28 @t105 @t104))))) % 0.38/0.61 (assume @p50 (forall (@list @t111 @t109 @t110 @t108) (or (tptp.p2 (tptp.f7 @t111 @t109) (tptp.f7 @t110 @t108)) (not (tptp.p5 @t111 @t110)) (not (tptp.p6 @t109 @t108))))) % 0.38/0.61 (assume @p51 (forall (@list @t113 @t115 @t112 @t114) (or (tptp.p19 (tptp.f20 @t113 @t115) (tptp.f20 @t112 @t114)) (not (tptp.p13 @t115 @t114)) (not (tptp.p18 @t113 @t112))))) % 0.38/0.61 (assume @p52 (forall (@list @t117 @t119 @t116) (tptp.p3 (tptp.f4 @t118 (tptp.f23 @t120 @t116)) (tptp.f23 @t120 (tptp.f25 (tptp.f27 tptp.c42 @t118) @t116))))) % 0.38/0.61 (assume @p53 (forall (@list @t121 @t122) (or (tptp.p3 @t121 @t123) (tptp.p30 (tptp.f10 @t69 @t123) @t121) (not (tptp.p31 (tptp.f20 tptp.c36 @t122) (tptp.f17 tptp.c37 @t121)))))) % 0.38/0.61 (assume @p54 (forall (@list @t125 @t124) (or (tptp.p30 (tptp.f10 @t69 (tptp.f4 @t66 @t125)) (tptp.f4 @t66 @t124)) (not (tptp.p30 (tptp.f10 @t69 @t125) @t124))))) % 0.38/0.61 (step @p55 :rule instantiate :premises (@p42) :args ((@list @t69 @t126 @t69 @t68))) % 0.38/0.61 (step @p56 :rule instantiate :premises (@p3) :args ((@list @t69))) % 0.38/0.61 (step @p57 :rule instantiate :premises (@p37) :args ((@list tptp.c35 tptp.c39))) % 0.38/0.61 (step @p58 :rule cnf_or_pos :args (@t133)) % 0.38/0.61 (step @p59 :rule reordering :premises (@p58) :args ((or @t130 @t128 @t132 (not @t133)))) % 0.38/0.61 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56 @p55) :args (@t132 (@list false false false) (@list @t129 @t127 @t133))) % 0.38/0.61 (step @p61 :rule instantiate :premises (@p54) :args ((@list @t18 tptp.c40))) % 0.38/0.61 (step @p62 :rule instantiate :premises (@p53) :args ((@list tptp.c40 tptp.c39))) % 0.38/0.61 (step @p63 :rule cnf_or_pos :args (@t136)) % 0.38/0.61 (step @p64 :rule reordering :premises (@p63) :args ((or @t19 @t134 @t135 (not @t136)))) % 0.38/0.61 (step @p65 :rule chain_m_resolution :premises (@p64 @p18 @p19 @p62) :args (@t135 (@list true false false) (@list @t19 @t20 @t136))) % 0.38/0.61 (step @p66 :rule cnf_or_pos :args (@t139)) % 0.38/0.61 (step @p67 :rule reordering :premises (@p66) :args ((or @t137 @t138 (not @t139)))) % 0.38/0.61 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p61) :args (@t138 (@list false false) (@list @t135 @t139))) % 0.38/0.61 (step @p69 :rule instantiate :premises (@p6) :args ((@list @t67))) % 0.38/0.61 (step @p70 :rule cnf_or_pos :args (@t144)) % 0.38/0.61 (step @p71 :rule reordering :premises (@p70) :args ((or @t71 @t141 @t143 @t142 @t145))) % 0.38/0.61 (step @p72 :rule chain_m_resolution :premises (@p71 @p40 @p69 @p68 @p60) :args (@t145 (@list true false false false) (@list @t71 @t140 @t138 @t132))) % 0.38/0.61 (assume-push @p79 @t65) % 0.38/0.61 (step @p74 :rule instantiate :premises (@p39) :args ((@list @t70 @t67 @t131 @t67))) % 0.38/0.61 (step-pop @p80 :rule scope :premises (@p74)) % 0.38/0.61 (step @p75 :rule process_scope :premises (@p80) :args (@t144)) % 0.38/0.61 (step @p77 :rule implies_elim :premises (@p75)) % 0.38/0.61 (step @p78 false :rule chain_m_resolution :premises (@p77 @p72 @p39) :args (false (@list true false) (@list @t144 @t65))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------