%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN036-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:07:50 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN036-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:18:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.fy (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.fz (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.fz5 (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.fy5 (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.cx $$unsorted) % 0.37/0.58 (declare-const tptp.cw $$unsorted) % 0.37/0.58 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "Z3" $$unsorted)) % 0.37/0.58 (define @t2 () (tptp.q @t1)) % 0.37/0.58 (define @t3 () (@var "Y3" $$unsorted)) % 0.37/0.58 (define @t4 () (tptp.p @t3)) % 0.37/0.58 (define @t5 () (tptp.q tptp.cw)) % 0.37/0.58 (define @t6 () (not @t5)) % 0.37/0.58 (define @t7 () (tptp.p tptp.cx)) % 0.37/0.58 (define @t8 () (not @t7)) % 0.37/0.58 (define @t9 () (forall (@list @t3 @t1) (or @t8 @t6 @t4 @t2))) % 0.37/0.58 (define @t10 () (@var "Z4" $$unsorted)) % 0.37/0.58 (define @t11 () (not (tptp.q @t10))) % 0.37/0.58 (define @t12 () (or @t8 @t11 @t4 @t5)) % 0.37/0.58 (define @t13 () (@list @t10 @t3)) % 0.37/0.58 (define @t14 () (forall @t13 @t12)) % 0.37/0.58 (define @t15 () (@var "Y4" $$unsorted)) % 0.37/0.58 (define @t16 () (not (tptp.p @t15))) % 0.37/0.58 (define @t17 () (or @t16 @t6 @t7 @t2)) % 0.37/0.58 (define @t18 () (@list @t15 @t1)) % 0.37/0.58 (define @t19 () (forall @t18 @t17)) % 0.37/0.58 (define @t20 () (or @t16 @t11 @t7 @t5)) % 0.37/0.58 (define @t21 () (@list @t15 @t10)) % 0.37/0.58 (define @t22 () (forall @t21 @t20)) % 0.37/0.58 (define @t23 () (@var "X7" $$unsorted)) % 0.37/0.58 (define @t24 () (tptp.p (tptp.fy5 @t23))) % 0.37/0.58 (define @t25 () (not @t24)) % 0.37/0.58 (define @t26 () (tptp.p @t23)) % 0.37/0.58 (define @t27 () (not @t26)) % 0.37/0.58 (define @t28 () (or @t8 @t27 @t25 @t6 @t2)) % 0.37/0.58 (define @t29 () (@list @t23 @t1)) % 0.37/0.58 (define @t30 () (forall @t29 @t28)) % 0.37/0.58 (define @t31 () (or @t8 @t27 @t25 @t11 @t5)) % 0.37/0.58 (define @t32 () (@list @t23 @t10)) % 0.37/0.58 (define @t33 () (forall @t32 @t31)) % 0.37/0.58 (define @t34 () (@var "W9" $$unsorted)) % 0.37/0.58 (define @t35 () (tptp.q (tptp.fz5 @t34))) % 0.37/0.58 (define @t36 () (not @t35)) % 0.37/0.58 (define @t37 () (tptp.q @t34)) % 0.37/0.58 (define @t38 () (not @t37)) % 0.37/0.58 (define @t39 () (or @t8 @t6 @t38 @t36 @t4)) % 0.37/0.58 (define @t40 () (@list @t34 @t3)) % 0.37/0.58 (define @t41 () (forall @t40 @t39)) % 0.37/0.58 (define @t42 () (@var "W4" $$unsorted)) % 0.37/0.58 (define @t43 () (tptp.q (tptp.fz @t42))) % 0.37/0.58 (define @t44 () (tptp.q @t42)) % 0.37/0.58 (define @t45 () (@var "Y1" $$unsorted)) % 0.37/0.58 (define @t46 () (tptp.p @t45)) % 0.37/0.58 (define @t47 () (@var "W2" $$unsorted)) % 0.37/0.58 (define @t48 () (@var "W3" $$unsorted)) % 0.37/0.58 (define @t49 () (tptp.q (tptp.fz @t48))) % 0.37/0.58 (define @t50 () (not @t49)) % 0.37/0.58 (define @t51 () (tptp.q @t48)) % 0.37/0.58 (define @t52 () (not @t51)) % 0.37/0.58 (define @t53 () (or @t8 @t46 @t5 @t51 @t49)) % 0.37/0.58 (define @t54 () (@list @t45 @t48)) % 0.37/0.58 (define @t55 () (forall @t54 @t53)) % 0.37/0.58 (define @t56 () (@var "Z1" $$unsorted)) % 0.37/0.58 (define @t57 () (tptp.q @t56)) % 0.37/0.58 (define @t58 () (@var "X2" $$unsorted)) % 0.37/0.58 (define @t59 () (tptp.p @t58)) % 0.37/0.58 (define @t60 () (@var "X5" $$unsorted)) % 0.37/0.58 (define @t61 () (not (tptp.p (tptp.fy @t60)))) % 0.37/0.58 (define @t62 () (not (tptp.p @t60))) % 0.37/0.58 (define @t63 () (@list @t60 @t58 @t56)) % 0.37/0.58 (define @t64 () (tptp.p (tptp.fy @t58))) % 0.37/0.58 (define @t65 () (@var "X8" $$unsorted)) % 0.37/0.58 (define @t66 () (tptp.p @t65)) % 0.37/0.58 (define @t67 () (@var "X9" $$unsorted)) % 0.37/0.58 (define @t68 () (tptp.p (tptp.fy5 @t65))) % 0.37/0.58 (define @t69 () (@var "Y2" $$unsorted)) % 0.37/0.58 (define @t70 () (not (tptp.p @t69))) % 0.37/0.58 (define @t71 () (or @t70 @t7 @t5 @t51 @t49)) % 0.37/0.58 (define @t72 () (@list @t69 @t48)) % 0.37/0.58 (define @t73 () (forall @t72 @t71)) % 0.37/0.58 (define @t74 () (or @t16 @t6 @t38 @t36 @t7)) % 0.37/0.58 (define @t75 () (@list @t15 @t34)) % 0.37/0.58 (define @t76 () (forall @t75 @t74)) % 0.37/0.58 (define @t77 () (@var "W6" $$unsorted)) % 0.37/0.58 (define @t78 () (@var "W10" $$unsorted)) % 0.37/0.58 (define @t79 () (@var "X1" $$unsorted)) % 0.37/0.58 (define @t80 () (tptp.p (tptp.fy @t79))) % 0.37/0.58 (define @t81 () (tptp.p @t79)) % 0.37/0.58 (define @t82 () (or @t6 @t7 @t81 @t80 @t57)) % 0.37/0.58 (define @t83 () (@list @t79 @t56)) % 0.37/0.58 (define @t84 () (forall @t83 @t82)) % 0.37/0.58 (define @t85 () (@var "Z2" $$unsorted)) % 0.37/0.58 (define @t86 () (not (tptp.q @t85))) % 0.37/0.58 (define @t87 () (or @t86 @t7 @t81 @t80 @t5)) % 0.37/0.58 (define @t88 () (@list @t85 @t79)) % 0.37/0.58 (define @t89 () (forall @t88 @t87)) % 0.37/0.58 (define @t90 () (not @t80)) % 0.37/0.58 (define @t91 () (not @t81)) % 0.37/0.58 (define @t92 () (@list @t79 @t48)) % 0.37/0.58 (define @t93 () (or @t8 @t91 @t90 @t5 @t51 @t49)) % 0.37/0.58 (define @t94 () (forall @t92 @t93)) % 0.37/0.58 (define @t95 () (or @t8 @t27 @t25 @t6 @t38 @t36)) % 0.37/0.58 (define @t96 () (@list @t23 @t34)) % 0.37/0.58 (define @t97 () (forall @t96 @t95)) % 0.37/0.58 (define @t98 () (@var "W1" $$unsorted)) % 0.37/0.58 (define @t99 () (not (tptp.q @t98))) % 0.37/0.58 (define @t100 () (@var "X4" $$unsorted)) % 0.37/0.58 (define @t101 () (not (tptp.p (tptp.fy @t100)))) % 0.37/0.58 (define @t102 () (not (tptp.p @t100))) % 0.37/0.58 (define @t103 () (@list @t100 @t98 @t58 @t42)) % 0.37/0.58 (define @t104 () (@list @t100 @t48 @t58 @t42)) % 0.37/0.58 (define @t105 () (or @t6 @t52 @t50 @t7 @t81 @t80)) % 0.37/0.58 (define @t106 () (@list @t48 @t79)) % 0.37/0.58 (define @t107 () (forall @t106 @t105)) % 0.37/0.58 (define @t108 () (or @t7 @t26 @t24 @t5 @t37 @t35)) % 0.37/0.58 (define @t109 () (forall @t96 @t108)) % 0.37/0.58 (define @t110 () (forall (@list @t1) @t2)) % 0.37/0.58 (define @t111 () (forall (@list @t15) @t16)) % 0.37/0.58 (define @t112 () (or @t6 @t7 @t16 @t2)) % 0.37/0.58 (define @t113 () (or @t38 @t36)) % 0.37/0.58 (define @t114 () (@list @t34)) % 0.37/0.58 (define @t115 () (forall @t114 @t113)) % 0.37/0.58 (define @t116 () (or @t6 @t7 @t16 @t113)) % 0.37/0.58 (define @t117 () (@list tptp.cw)) % 0.37/0.58 (define @t118 () (tptp.fz5 tptp.cw)) % 0.37/0.58 (define @t119 () (tptp.q @t118)) % 0.37/0.58 (define @t120 () (not @t119)) % 0.37/0.58 (define @t121 () (or @t6 @t120)) % 0.37/0.58 (define @t122 () (not @t121)) % 0.37/0.58 (define @t123 () (@list @t118)) % 0.37/0.58 (define @t124 () (forall (@list @t10) @t11)) % 0.37/0.58 (define @t125 () (or @t7 @t5 @t16 @t11)) % 0.37/0.58 (define @t126 () (or @t37 @t35)) % 0.37/0.58 (define @t127 () (forall @t114 @t126)) % 0.37/0.58 (define @t128 () (or @t26 @t24)) % 0.37/0.58 (define @t129 () (@list @t23)) % 0.37/0.58 (define @t130 () (forall @t129 @t128)) % 0.37/0.58 (define @t131 () (or @t7 @t5 @t128 @t126)) % 0.37/0.58 (define @t132 () (or @t5 @t119)) % 0.37/0.58 (define @t133 () (forall (@list @t60) (or @t62 @t61))) % 0.37/0.58 (define @t134 () (@quantifiers_skolemize @t133 0)) % 0.37/0.58 (define @t135 () (@list @t134)) % 0.37/0.58 (define @t136 () (tptp.p @t134)) % 0.37/0.58 (define @t137 () (not @t136)) % 0.37/0.58 (define @t138 () (tptp.fy @t134)) % 0.37/0.58 (define @t139 () (@list @t138)) % 0.37/0.58 (define @t140 () (tptp.p @t138)) % 0.37/0.58 (define @t141 () (not @t140)) % 0.37/0.58 (define @t142 () (or @t136 @t140)) % 0.37/0.58 (define @t143 () (forall (@list @t58) (or @t59 @t64))) % 0.37/0.58 (define @t144 () (@list @t79)) % 0.37/0.58 (define @t145 () (forall (@list @t56) @t57)) % 0.37/0.58 (define @t146 () (or @t81 @t80)) % 0.37/0.58 (define @t147 () (@list @t79)) % 0.37/0.58 (define @t148 () (forall @t147 @t146)) % 0.37/0.58 (define @t149 () (or @t6 @t7 @t146 @t57)) % 0.37/0.58 (define @t150 () (or @t52 @t50)) % 0.37/0.58 (define @t151 () (@list @t48)) % 0.37/0.58 (define @t152 () (forall @t151 @t150)) % 0.37/0.58 (define @t153 () (or @t6 @t7 @t150 @t146)) % 0.37/0.58 (define @t154 () (tptp.fz tptp.cw)) % 0.37/0.58 (define @t155 () (tptp.q @t154)) % 0.37/0.58 (define @t156 () (not @t155)) % 0.37/0.58 (define @t157 () (or @t6 @t156)) % 0.37/0.58 (define @t158 () (@list @t154)) % 0.37/0.58 (define @t159 () (forall (@list @t85) @t86)) % 0.37/0.58 (define @t160 () (or @t7 @t5 @t86 @t146)) % 0.37/0.58 (define @t161 () (forall (@list @t65) (or @t66 @t68))) % 0.37/0.58 (define @t162 () (or @t27 @t25)) % 0.37/0.58 (define @t163 () (forall @t129 @t162)) % 0.37/0.58 (define @t164 () (@quantifiers_skolemize @t163 0)) % 0.37/0.58 (define @t165 () (@list @t164)) % 0.37/0.58 (define @t166 () (tptp.fy5 @t164)) % 0.37/0.58 (define @t167 () (tptp.p @t166)) % 0.37/0.58 (define @t168 () (tptp.p @t164)) % 0.37/0.58 (define @t169 () (or @t168 @t167)) % 0.37/0.58 (define @t170 () (not @t169)) % 0.37/0.58 (define @t171 () (or @t51 @t49)) % 0.37/0.58 (define @t172 () (forall @t151 @t171)) % 0.37/0.58 (define @t173 () (forall (@list @t69) @t70)) % 0.37/0.58 (define @t174 () (or @t7 @t5 @t70 @t171)) % 0.37/0.58 (define @t175 () (forall (@list @t42) (or @t44 @t43))) % 0.37/0.58 (define @t176 () (or @t5 @t155)) % 0.37/0.58 (define @t177 () (or @t91 @t90)) % 0.37/0.58 (define @t178 () (forall @t147 @t177)) % 0.37/0.58 (define @t179 () (or @t8 @t5 @t177 @t171)) % 0.37/0.58 (define @t180 () (forall (@list @t45) @t46)) % 0.37/0.58 (define @t181 () (or @t8 @t5 @t46 @t171)) % 0.37/0.58 (define @t182 () (forall (@list @t3) @t4)) % 0.37/0.58 (define @t183 () (or @t137 @t141)) % 0.37/0.58 (define @t184 () (or @t8 @t5 @t162 @t11)) % 0.37/0.58 (define @t185 () (or @t8 @t5 @t11 @t4)) % 0.37/0.58 (define @t186 () (@quantifiers_skolemize @t161 0)) % 0.37/0.58 (define @t187 () (@list @t186)) % 0.37/0.58 (define @t188 () (tptp.fy5 @t186)) % 0.37/0.58 (define @t189 () (tptp.p @t188)) % 0.37/0.58 (define @t190 () (not @t189)) % 0.37/0.58 (define @t191 () (tptp.p @t186)) % 0.37/0.58 (define @t192 () (not @t191)) % 0.37/0.58 (define @t193 () (or @t192 @t190)) % 0.37/0.58 (define @t194 () (or @t8 @t6 @t162 @t2)) % 0.37/0.58 (define @t195 () (@list false)) % 0.37/0.58 (define @t196 () (or @t8 @t6 @t113 @t4)) % 0.37/0.58 (define @t197 () (@list false false true)) % 0.37/0.58 (define @t198 () (@list @t7 @t5 @t115)) % 0.37/0.58 (define @t199 () (@list @t182)) % 0.37/0.58 (define @t200 () (or @t8 @t6 @t162 @t113)) % 0.37/0.58 (assume @p1 @t9) % 0.37/0.58 (assume @p2 @t14) % 0.37/0.58 (assume @p3 @t19) % 0.37/0.58 (assume @p4 @t22) % 0.37/0.58 (assume @p5 @t30) % 0.37/0.58 (assume @p6 @t33) % 0.37/0.58 (assume @p7 @t41) % 0.37/0.58 (assume @p8 (forall (@list @t47 @t45 @t42) (or @t8 (not (tptp.q @t47)) @t46 @t44 @t43))) % 0.37/0.58 (assume @p9 (forall (@list @t48 @t45 @t42) (or @t8 @t52 @t50 @t46 @t44))) % 0.37/0.58 (assume @p10 @t55) % 0.37/0.58 (assume @p11 (forall @t63 (or @t62 @t61 @t6 @t59 @t57))) % 0.37/0.58 (assume @p12 (forall @t63 (or @t62 @t6 @t59 @t64 @t57))) % 0.37/0.58 (assume @p13 (forall (@list @t58 @t67 @t10 @t65) (or (not @t59) (not (tptp.p (tptp.fy5 @t67))) @t11 @t66 @t5))) % 0.37/0.58 (assume @p14 (forall (@list @t67 @t10 @t65) (or (not (tptp.p @t67)) @t11 @t66 @t68 @t5))) % 0.37/0.58 (assume @p15 @t73) % 0.37/0.58 (assume @p16 @t76) % 0.37/0.58 (assume @p17 (forall (@list @t15 @t77 @t34) (or @t16 (not (tptp.q @t77)) @t7 @t37 @t35))) % 0.37/0.58 (assume @p18 (forall (@list @t15 @t34 @t78) (or @t16 @t38 @t36 @t7 (tptp.q @t78)))) % 0.37/0.58 (assume @p19 @t84) % 0.37/0.58 (assume @p20 @t89) % 0.37/0.58 (assume @p21 (forall @t92 (or @t8 @t91 @t90 @t52 @t50 @t5))) % 0.37/0.58 (assume @p22 @t94) % 0.37/0.58 (assume @p23 @t97) % 0.37/0.58 (assume @p24 (forall @t92 (or @t91 @t90 @t6 @t52 @t50 @t7))) % 0.37/0.58 (assume @p25 (forall @t103 (or @t102 @t101 @t99 @t59 @t44 @t43))) % 0.37/0.58 (assume @p26 (forall @t104 (or @t102 @t101 @t52 @t50 @t59 @t44))) % 0.37/0.58 (assume @p27 (forall @t103 (or @t102 @t99 @t59 @t64 @t44 @t43))) % 0.37/0.58 (assume @p28 (forall @t104 (or @t102 @t52 @t50 @t59 @t64 @t44))) % 0.37/0.58 (assume @p29 (forall @t96 (or @t27 @t25 @t7 @t5 @t37 @t35))) % 0.37/0.58 (assume @p30 @t107) % 0.37/0.58 (assume @p31 (forall (@list @t34 @t23) (or @t38 @t36 @t7 @t26 @t24 @t5))) % 0.37/0.58 (assume @p32 @t109) % 0.37/0.58 (step @p33 :rule quant-miniscope-or :args ((= (forall @t18 @t112) (or @t6 @t7 @t111 @t110)))) % 0.37/0.58 (step @p34 :rule aci_norm :args ((= @t17 @t112))) % 0.37/0.58 (step @p35 :rule cong :premises (@p34) :args (@t19)) % 0.37/0.58 (step @p36 :rule trans :premises (@p35 @p33)) % 0.37/0.58 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 0.37/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t7 @t6 @t110 @t111))) % 0.37/0.58 (step @p39 :rule quant-miniscope-or :args ((= (forall @t75 @t116) (or @t6 @t7 @t111 @t115)))) % 0.37/0.58 (step @p40 :rule aci_norm :args ((= @t74 @t116))) % 0.37/0.58 (step @p41 :rule cong :premises (@p40) :args (@t76)) % 0.37/0.58 (step @p42 :rule trans :premises (@p41 @p39)) % 0.37/0.58 (step @p43 :rule eq_resolve :premises (@p16 @p42)) % 0.37/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t7 @t6 @t111 @t115))) % 0.37/0.58 (assume-push @p273 @t115) % 0.37/0.58 (step @p46 :rule instantiate :premises (@p273) :args (@t117)) % 0.37/0.58 (step-pop @p274 :rule scope :premises (@p46)) % 0.37/0.58 (step @p47 :rule process_scope :premises (@p274) :args (@t121)) % 0.37/0.58 (step @p49 :rule implies_elim :premises (@p47)) % 0.37/0.58 (step @p50 :rule cnf_or_pos :args (@t121)) % 0.37/0.58 (step @p51 :rule reordering :premises (@p50) :args ((or @t6 @t120 @t122))) % 0.37/0.58 (assume-push @p275 @t110) % 0.37/0.58 (step @p53 :rule instantiate :premises (@p275) :args (@t123)) % 0.37/0.58 (step-pop @p276 :rule scope :premises (@p53)) % 0.37/0.58 (step @p54 :rule process_scope :premises (@p276) :args (@t119)) % 0.37/0.58 (step @p56 :rule implies_elim :premises (@p54)) % 0.37/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p51 @p49 @p44 @p38) :args ((or @t7 @t6 @t111) (@list true false false false) (@list @t119 @t121 @t115 @t110))) % 0.37/0.58 (step @p58 :rule quant-miniscope-or :args ((= (forall @t21 @t125) (or @t7 @t5 @t111 @t124)))) % 0.37/0.58 (step 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aci_norm :args ((= @t95 @t200))) % 0.37/0.58 (step @p267 :rule cong :premises (@p266) :args (@t97)) % 0.37/0.58 (step @p268 :rule trans :premises (@p267 @p265)) % 0.37/0.58 (step @p269 :rule eq_resolve :premises (@p23 @p268)) % 0.37/0.58 (step @p270 :rule chain_m_resolution :premises (@p269 @p180 @p243 @p255) :args (@t163 @t197 @t198)) % 0.37/0.58 (step @p271 :rule chain_m_resolution :premises (@p230 @p270) :args (@t193 @t195 (@list @t163))) % 0.37/0.58 (step @p272 false :rule chain_m_resolution :premises (@p237 @p271 @p264 @p263) :args (false (@list false false false) (@list @t193 @t191 @t189))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------